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Levell CFA®Exam
Welcome
zyxwvutsrqponmlkihgfedcbaYWVUTSRQPONMLKJIGFEDCBA
As the VP of Advanced Designations
opportunity
The Kaplan Way for Learning
at Kaplan Schweser, I am pleased to have the
to help you prepare for thewtsronlhfecUSI
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MRKT-18934
BOOK
4
CORPORATE FINANCE,
PORTFOLIO MANAGEMENT, AND EQUITY
INVESTMENTS
zyvutsrqponmlkigfedcaVSRPOMLKIEA
Reading Assignments and Learning Outcome Statements
v
Study Session 11 - Corporate Finance
1
Self-Test - Corporate Finance
110
Study Session 12 - Portfolio Management
114
Self-Test - Portfolio Management
197
Study Session 13 - Equity: Market Organization, Market Indices, and
Market Efficiency
200
Study Session 14 - Equity Analysis and Valuation
261
Self-Test - Equity Investments
323
~()rIlllllasi
~~i7
Index
~32
©20 15 Kaplan, Inc.
Page iii
i
SCHWESERNOTESTM 2016 LEVEL I CFA® BOOK 4: CORPORATE FINANCE,
PORTFOLIO MANAGEMENT, AND EQUITY INVESTMENTS
©20 15 Kaplan, Inc. All rights reserved.
Published in 2015 by Kaplan, Inc.
Printed in the United States of America.
ISBN: 978-1-4754-3522-1
PPN: 3200-6834
If this book does not have the hologram with the Kaplan Schweser logo on the back cover, it was
distributed without permission of Kaplan Schweser, a Division of Kaplan, Inc., and is in direct violation
of global copyright laws. Your assistance in pursuing potential violators of this law is greatly appreciated.
Required CFA Institute disclaimer: "CFA Institute does not endorse, promote, or warrant the accuracy
or quality of the products or services offered by Kaplan Schweser, CFA® and Chartered Financial
Analyst® are trademarks owned by CFA Institute."
Certain materials contained within this text are the copyrighted property of CFA Institute. The
following is the copyright disclosure for these materials: "Copyright, 2015, CFA Institute. Reproduced
and republished from 2016 Learning Outcome Statements, Level I, II, and III questions from CFA®
Program Materials, CFA Institute Standards of Professional Conduct, and CFA Institute's Global
Investment Performance Standards with permission from CFA Institute. All Rights Reserved."
These materials may not be copied without written permission from the author. The unauthorized
duplication of these notes is a violation of global copyright laws and the CFA Institute Code of Ethics.
Your assistance in pursuing potential violators of this law is greatly appreciated.
Disclaimer: The Schweser Notes should be used in conjunction with the original readings as set forth
by CFA Institute in their 2016 Level I CFA Study Guide. The information contained in these Notes
covers topics contained in the readings referenced by CFA Institute and is believed to be accurate.
However, their accuracy cannot be guaranteed nor is any warranty conveyed as to your ultimate exam
success. The authors of the referenced readings have not endorsed or sponsored these Notes.
Page iv
©2015 Kaplan, Inc.
READING ASSIGNMENTS AND
LEARNING OUTCOME STATEMENTS
zywvutsrqponmlkihgfedcbaVTPOMIFECA
The following material is a review of the Corporate Finance, Portfolio Management, and
Equity Investments principles designed to address the learning outcome statements set forth by
CFA Institute.
Reading Assignments
Corporate Finance, CFA Program Level 12016 Curriculum, Volume 4 (CFA Institute,
2015)
35. Capital Budgeting
page 1
36. Cost of Capital
page 24
37. Measures of Leverage
page 49
38. Dividends and Share Repurchases: Basics
page 64
39. Working Capital Management
page 78
40. The Corporate Governance of Listed Companies: A Manual for Investors page 94
zywvutsrqponmlkihgfedcaWVTSRPOMLKIGFEDCBA
STUDY SESSION
12
Reading Assignments
Portfolio Management, CFA Program Level 12016 Curriculum, Volume 4 (CFA
Institute, 2015)
41. Portfolio Management: An Overview
page 114
42. Risk Management: An Introduction
page 126
43. Portfolio Risk and Return: Part I
page 137
44. Portfolio Risk and Return: Part II
page 160
45. Basics of Portfolio Planning and Construction
page 186
STUDY SESSION
13
Reading Assignments
Equity: Market Organization, Market Indices, and Market Efficiency,
CFA Program Level I 2016 Curriculum, Volume 5 (CFA Institute, 2015)
46. Market Organization and Structure
47. Security Market Indices
48. Market Efficiency
STUDY SESSION
page 200
page 229
page 248
14
Reading Assignments
Equity Analysis and Valuation, CFA Program Level 12016 Curriculum, Volume 5 (CFA
Institute, 2015)
49. Overview of Equity Securities
page 261
50. Introduction to Industry and Company Analysis
page 274
51. Equity Valuation: Concepts and Basic Tools
page 294
©20 15 Kaplan, Inc.
Pagev
Book 4 - Corporate Finance, Portfolio Management, and Equity Investments
Reading Assignments and Learning Outcome Statements
LEARNING OUTCOME STATEMENTS (LOS)wvutsrponlihgfedcaTPICA
The topical coverage corresponds with the following CPA Institute assigned reading:
35. Capital Budgeting
The candidate should be able to:
a. describe the capital budgeting process and distinguish among the various
categories of capital projects. (page 1)
b. describe the basic principles of capital budgeting. (page 2)
c. explain how the evaluation and selection of capital projects is affected by
mutually exclusive projects, project sequencing, and capital rationing. (page 4)
d. calculate and interpret net present value (NPV), internal rate of return (IRR),
payback period, discounted payback period, and profitability index (PI) of a
single capital project. (page 4)
e. explain the NPV profile, compare the NPV and IRR methods when evaluating
independent and mutually exclusive projects, and describe the problems
associated with each of the evaluation methods. (page 12)
f. describe expected relations among an investment's NPY, company value, and
share price. (page 15)
f
The topical coverage corresponds with the following CPA Institute assigned reading:
36. Cost of Capital
The candidate should be able to:
a. calculate and interpret the weighted average cost of capital (WACC) of a
company. (page 24)
b. describe how taxes affect the cost of capital from different capital sources.
(page 24)
c. describe the use of target capital structure in estimating WACC and how target
capital structure weights may be determined. (page 26)
d. explain how the marginal cost of capital and the investment opportunity
schedule are used to determine the optimal capital budget. (page 27)
e. explain the marginal cost of capital's role in determining the net present value of
a project. (page 28)
f. calculate and interpret the cost of debt capital using the yield-to-maturity
approach and the debt-rating approach. (page 28)
g. calculate and interpret the cost of noncallable, nonconvertible preferred stock.
(page 29)
h. calculate and interpret the cost of equity capital using the capital asset pricing
model approach, the dividend discount model approach, and the bond-yieldplus risk-premium approach. (page 30)
•
1.
calculate and interpret the beta and cost of capital for a project. (page 32)
•
J • describe uses of country risk premiums in estimating the cost of equity .
(page 34)
k. describe the marginal cost of capital schedule, explain why it may be upwardsloping with respect to additional capital, and calculate and interpret its breakpoints. (page 35)
1. explain and demonstrate the correct treatment of flotation costs. (page 37)
eca
Page vi
©2015 Kaplan, Inc.
Book 4 - Corporate Finance, Portfolio Management, and Equity Investments
Reading Assignments and Learning Outcome StatementswvutsrponlihgfedcaT
The topical coverage corresponds with the following CPA Institute assigned reading:
37. Measures of Leverage
The candidate should be able to:
a. define and explain leverage, business risk, sales risk, operating risk, and financial
risk and classify a risk. (page 49)
b. calculate and interpret the degree of operating leverage, the degree of financial
leverage, and the degree of total leverage. (page 50)
c. analyze the effect of financial leverage on a company's net income and return on
equity. (page 53)
d. calculate the breakeven quantity of sales and determine the company's net
income at various sales levels. (page 55)
e. calculate and interpret the operating breakeven quantity of sales. (page 55)
The topical coverage corresponds with the following CPA Institute assigned reading:
38. Dividends and Share Repurchases: Basics
The candidate should be able to:
a. describe regular cash dividends, extra dividends, liquidating dividends, stock
dividends, stock splits, and reverse stock splits, including their expected effect
on shareholders' wealth and a company's financial ratios. (page 64)
b. describe dividend payment chronology, including the significance of declaration,
holder-of-record, ex-dividend, and payment dates. (page 67)
c. compare share repurchase methods. (page 68)
d. calculate and compare the effect of a share repurchase on earnings per share
when 1) the repurchase is financed with the company's excess cash and 2) the
company uses debt to finance the repurchase. (page 68)
e. calculate the effect of a share repurchase on book value per share. (page 71)
f. explain why a cash dividend and a share repurchase of the same amount are
equivalent in terms of the effect on shareholders' wealth, all else being equal.
(page 71)
The topical coverage corresponds with the following CPA Institute assigned reading:
39. Working Capital Management
The candidate should be able to:
a. describe primary and secondary sources of liquidity and factors that influence a
company's liquidity position. (page 78)
b. compare a company's liquidity measures with those of peer companies. (page 79)
c. evaluate working capital effectiveness of a company based on its operating and
cash conversion cycles and compare the company's effectiveness with that of peer
companies. (page 81)
d. describe how different types of cash flows affect a company's net daily cash
position. (page 81)
e. calculate and interpret comparable yields on various securities, compare
portfolio returns against a standard benchmark, and evaluate a company's shortterm investment policy guidelines. (page 82)
f. evaluate a company's management of accounts receivable, inventory, and
accounts payable over time and compared to peer companies. (page 84)
g. evaluate the choices of short-term funding available to a company and
recommend a financing method. (page 87)
©20 15 Kaplan, Inc.
Page vii
Book 4 - Corporate Finance, Portfolio Management, and Equity Investments
Reading Assignments and Learning Outcome StatementswvutsrponlihgfedcaTPICA
The topical coverage corresponds with the following CPA Institute assigned reading:
40. The Corporate Governance of Listed Companies: A Manual for Investors
The candidate should be able to:
a. define corporate governance. (page 94)
b. describe practices related to board and committee independence, experience,
compensation, external consultants, and frequency of elections and determine
whether they are supportive of shareowner protection. (page 95)
c. describe board independence and explain the importance of independent board
members in corporate governance. (page 96)
d. identify factors that an analyst should consider when evaluating the
qualifications of board members. (page 96)
e. describe responsibilities of the audit, compensation, and nominations
committees and identify factors an investor should consider when evaluating the
quality of each committee. (page 97)
f. describe provisions that should be included in a strong corporate code of ethics.
(page 99)
g. evaluate, from a shareowner's perspective, company policies related to voting
rules, shareowner sponsored proposals, common stock classes, and takeover
defenses. (page 100)
The topical coverage corresponds with the following CPA Institute assigned reading:
41. Portfolio Management: An Overview
The candidate should be able to:
a. describe the portfolio approach to investing. (page 114)
b. describe types of investors and distinctive characteristics and needs of each.
(page 115)
c. describe defined contribution and defined benefit pension plans. (page 116)
d. describe the steps in the portfolio management process. (page 117)
e. describe mutual funds and compare them with other pooled investment
products. (page 117)
nA
The topical coverage corresponds with the following CPA Institute assigned reading:
42. Risk Management: An Introduction
The candidate should be able to:
a. define risk management. (page 126)
b. describe features of a risk management framework. (page 127)
c. define risk governance and describe elements of effective risk governance.
(page 127)
d. explain how risk tolerance affects risk management. (page 127)
e. describe risk budgeting and its role in risk governance. (page 128)
f. identify financial and non-financial sources of risk and describe how they may
interact. (page 128)
g. describe methods for measuring and modifying risk exposures and factors to
consider in choosing among the methods. (page 129)
The topical coverage corresponds with the following CPA Institute assigned reading:
43. Portfolio Risk and Return: Part I
The candidate should be able to:
a. calculate and interpret major return measures and describe their appropriate
uses. (page 137)
b. describe characteristics of the major asset classes that investors consider in
forming portfolios. (page 140)
Page viii
©2015 Kaplan, Inc.
Book 4 - Corporate Finance, Portfolio Management, and Equity Investments
Reading Assignments and Learning Outcome Statements
c.
d.
e.
f.
g.
h.
calculate and interpret the mean, variance, and covariance (or correlation) of
asset returns based on historical data. (page 141)
explain risk aversion and its implications for portfolio selection. (page 144)
calculate and interpret portfolio standard deviation. (page 145)
describe the effect on a portfolio's risk of investing in assets that are less than
perfectly correlated. (page 146)
describe and interpret the minimum-variance and efficient frontiers of risky
assets and the global minimum-variance portfolio. (page 148)
explain the selection of an optimal portfolio, given an investor's utility (or risk
aversion) and the capital allocation line. (page 149)
wvutsrponlihgfedcaTPICA
The topical coverage corresponds with the following CPA Institute assigned reading:
44. Portfolio Risk and Return: Part II
The candidate should be able to:
a. describe the implications of combining a risk-free asset with a portfolio of risky
assets. (page 160)
b. explain the capital allocation line (CAL) and the capital market line (CML).
(page 161)
c. explain systematic and nonsystematic risk, including why an investor should not
expect to receive additional return for bearing nonsystematic risk. (page 165)
d. explain return generating models (including the market model) and their uses.
(page 167)
e. calculate and interpret beta. (page 168)
f. explain the capital asset pricing model (CAPM), including its assumptions, and
the security market line (SML). (page 170)
g. calculate and interpret the expected return of an asset using the CAPM.
(page 174)
h. describe and demonstrate applications of the CAPM and the SML. (page 175)
The topical coverage corresponds with the following CPA Institute assigned reading:
45. Basics of Portfolio Planning and Construction
The candidate should be able to:
a. describe the reasons for a written investment policy statement (IPS). (page 186)
b. describe the major components of an IPS. (page 186)
c. describe risk and return objectives and how they may be developed for a client.
(page 187)
d. distinguish between the willingness and the ability (capacity) to take risk in
analyzing an investor's financial risk tolerance. (page 188)
e. describe the investment constraints of liquidity, time horizon, tax concerns, legal
and regulatory factors, and unique circumstances and their implications for the
choice of portfolio assets. (page 188)
f. explain the specification of asset classes in relation to asset allocation. (page 190)
g. describe the principles of portfolio construction and the role of asset allocation
in relation to the IPS. (page 191)
The topical coverage corresponds with the following CPA Institute assigned reading:
46. Market Organization and Structure
The candidate should be able to:
a. explain the main functions of the financial system. (page 200)
b. describe classifications of assets and markets. (page 202)
©20 15 Kaplan, Inc.
Page ix
xi
Book 4 - Corporate Finance, Portfolio Management, and Equity Investments
Reading Assignments and Learning Outcome Statements
c.
d.
e.
f
f.
g.
h.
•
1.
•
J•
describe the major types of securities, currencies, contracts, commodities,
and real assets that trade in organized markets, including their distinguishing
characteristics and major subtypes. (page 203)
describe types of financial intermediaries and services that they provide.
(page 206)
compare positions an investor can take in an asset. (page 209)
calculate and interpret the leverage ratio, the rate of return on a margin
transaction, and the security price at which the investor would receive a margin
call. (page 211)
compare execution, validity, and clearing instructions. (page 212)
compare market orders with limit orders. (page 212)
define primary and secondary markets and explain how secondary markets
support primary markets. (page 216)
describe how securities, contracts, and currencies are traded in quote-driven,
order-driven, and brokered markets. (page 217)
describe characteristics of a well-functioning financial system. (page 219)
describe objectives of market regulation. (page 220)
wvutsrponlihgfedcaTPICA
k.
1.
eca
The topical coverage corresponds with the following CPA Institute assigned reading:
47. Security Market Indices
The candidate should be able to:
a. describe a security market index. (page 229)
b. calculate and interpret the value, price return, and total return of an index.
(page 229)
c. describe the choices and issues in index construction and management.
(page 230)
d. compare the different weighting methods used in index construction. (page 230)
e. calculate and analyze the value and return of an index given its weighting
method. (page 232)
f. describe rebalancing and reconstitution of an index. (page 236)
g. describe uses of security market indices. (page 237)
h. describe types of equity indices. (page 237)
•
1.
describe types of fixed-income indices. (page 238)
j. describe indices representing alternative investments. (page 239)
k. compare types of security market indices. (page 240)
The topical coverage corresponds with the following CPA Institute assigned reading:
48. Market Efficiency
The candidate should be able to:
a. describe market efficiency and related concepts, including their importance to
investment practitioners. (page 248)
b. distinguish between market value and intrinsic value. (page 249)
c. explain factors that affect a market's efficiency. (page 249)
d. contrast weak-form, semi-strong-form, and strong-form market efficiency.
(page 250)
e. explain the implications of each form of market efficiency for fundamental
analysis, technical analysis, and the choice between active and passive portfolio
management. (page 251)
f. describe market anomalies. (page 252)
g. describe behavioral finance and its potential relevance to understanding market
anomalies. (page 255)
Page x
©2015 Kaplan, Inc.
Book 4 - Corporate Finance, Portfolio Management, and Equity Investments
Reading Assignments and Learning Outcome StatementswvutsrponlihgfedcaT
The topical coverage corresponds with the following CPA Institute assigned reading:
49. Overview of Equity Securities
The candidate should be able to:
a. describe characteristics of types of equity securities. (page 261)
b. describe differences in voting rights and other ownership characteristics among
different equity classes. (page 262)
c. distinguish between public and private equity securities. (page 263)
d. describe methods for investing in non-domestic equity securities. (page 264)
e. compare the risk and return characteristics of different types of equity securities.
(page 265)
f. explain the role of equity securities in the financing of a company's assets.
(page 266)
g. distinguish between the market value and book value of equity securities.
(page 266)
h. compare a company's cost of equity, its (accounting) return on equity, and
investors' required rates of return. (page 267)
The topical coverage corresponds with the following CPA Institute assigned reading:
50. Introduction to Industry and Company Analysis
The candidate should be able to:
a. explain uses of industry analysis and the relation of industry analysis to company
analysis. (page 274)
b. compare methods by which companies can be grouped, current industry
classification systems, and classify a company, given a description of its activities
and the classification system. (page 274)
c. explain the factors that affect the sensitivity of a company to the business cycle
and the uses and limitations of industry and company descriptors such as
"growth," "defensive," and "cyclical". (page 277)
d. explain how a company's industry classification can be used to identify a
potential "peer group" for equity valuation. (page 278)
e. describe the elements that need to be covered in a thorough industry analysis.
(page 279)
f. describe the principles of strategic analysis of an industry. (page 279)
g. explain the effects of barriers to entry, industry concentration, industry capacity,
and market share stability on pricing power and price competition. (page 281)
h. describe industry life cycle models, classify an industry as to life cycle stage,
and describe limitations of the life-cycle concept in forecasting industry
performance. (page 283)
•
1.
compare characteristics of representative industries from the various economic
sectors. (page 285)
J • describe macroeconomic, technological, demographic, governmental, and social
influences on industry growth, profitability, and risk. (page 285)
k. describe the elements that should be covered in a thorough company analysis.
(page 286)
f
•
eca
The topical coverage corresponds with the following CPA Institute assigned reading:
51. Equity Valuation: Concepts and Basic Tools
The candidate should be able to:
a. evaluate whether a security, given its current market price and a value estimate,
is overvalued, fairly valued, or undervalued by the market. (page 294)
b. describe major categories of equity valuation models. (page 295)
©20 15 Kaplan, Inc.
Page xi
Book 4 - Corporate Finance, Portfolio Management, and Equity Investments
Reading Assignments and Learning Outcome Statements
c.
d.
e.
f
f.
g.
h.
•
1.
•
J•
k.
explain the rationale for using present value models to value equity and describe
the dividend discount and free-cash-flow-to-equity models. (page 296)
calculate the intrinsic value of a non-callable, non-convertible preferred stock.
(page 299)
calculate and interpret the intrinsic value of an equity security based on the
Gordon (constant) growth dividend discount model or a two-stage dividend
discount model, as appropriate. (page 300)
identify characteristics of companies for which the constant growth or a multistage dividend discount model is appropriate. (page 305)
explain the rationale for using price multiples to value equity, how the price to
earnings multiple relates to fundamentals, and the use of multiples based on
comparables. (page 306)
calculate and interpret the following multiples: price to earnings, price to
an estimate of operating cash flow, price to sales, and price to book value.
(page 306)
describe enterprise value multiples and their use in estimating equity value .
(page 311)
describe asset-based valuation models and their use in estimating equity value .
(page 312)
explain advantages and disadvantages of each category of valuation model.
(page 314)
ec
Page xii
©2015 Kaplan, Inc.
The following is a review of the Corporate Finance principles designed to address the learning outcome
statements set forth by CFA Institute. Cross-Reference to CFA Institute Assigned Reading #35.UTPNLIGEDCBA
CAPITAL BUDGETING
Study Session 11
EXAM
Focus
If you recollect little from your basic financial management course in college (or if
you didn't take one), you will need to spend some time on this review and go through
the examples quite carefully. To be prepared for the exam, you need to know how to
calculate all of the measures used to evaluate capital projects and the decision rules
associated with them. Be sure you can interpret an NPV profile; one could be given as
part of a question. Finally, know the reasoning behind the facts that (1) IRR and NPV
give the same accept/reject decision for a single project and (2) IRR and NPV can give
conflicting rankings for mutually exclusive projects.
LOS 35.a: Describe the capital budgeting process and distinguish among the
various categories of capital projects.
zyutsrponmljigedcaVSPIFCA
CFA ® Program Curriculum, Volume 4, page 6
The capital budgeting process is the process of identifying and evaluating capital
projects, that is, projects where the cash flow to the firm will be received over a period
longer than a year. Any corporate decisions with an impact on future earnings can be
examined using this framework. Decisions about whether to buy a new machine, expand
business in another geographic area, move the corporate headquarters to Cleveland,
or replace a delivery truck, to name a few, can be examined using a capital budgeting
analysis.
For a number of good reasons, capital budgeting may be the most important
responsibility that a financial manager has. First, because a capital budgeting decision
often involves the purchase of costly long-term assets with lives of many years, the
decisions made may determine the future success of the firm. Second, the principles
underlying the capital budgeting process also apply to other corporate decisions, such
as working capital management and making strategic mergers and acquisitions. Finally,
making good capital budgeting decisions is consistent with management's primary goal
of maximizing shareholder value.
The capital budgeting process has four administrative steps:
Step 1: Idea generation. The most important step in the capital budgeting process
is generating good project ideas. Ideas can come from a number of sources
including senior management, functional divisions, employees, or sources
outside the company.
Step 2: Analyzing project proposals. Because the decision to accept or reject a capital
project is based on the project's expected future cash flows, a cash flow forecast
must be made for each product to determine its expected profitability.
©20 15 Kaplan, Inc.
Page 1
Study Session 11
Cross-Reference to CFA Institute Assigned Reading #35 - Capital BudgetingyxwvutsrponmlkjihgfedcbaVSRPONMEDCA
Step 3: Create the firm-wide capital budget. Firms must prioritize profitable projects
according to the timing of the project's cash flows, available company
resources, and the company's overall strategic plan. Many projects that are
attractive individually may not make sense strategically.
Step 4: Monitoring decisions and conducting a post-audit. It is important to follow
up on all capital budgeting decisions. An analyst should compare the actual
results to the projected results, and project managers should explain why
projections did or did not match actual performance. Because the capital
budgeting process is only as good as the estimates of the inputs into the model
used to forecast cash flows, a post-audit should be used to identify systematic
errors in the forecasting process and improve company operations.
Categories of Capital Budgeting Projects
Capital budgeting projects may be divided into the following categories:
•
•
•
•
•
•
Replacement projects to maintain the business are normally made without detailed
analysis. The only issues are whether the existing operations should continue and,
if so, whether existing procedures or processes should be maintained.
Replacement projects for cost reduction determine whether equipment that is
obsolete, but still usable, should be replaced. A fairly detailed analysis is necessary
in this case.
Expansion projects are taken on to grow the business and involve a complex
decision-making process because they require an explicit forecast of future
demand. A very detailed analysis is required.
New product or market development also entails a complex decision-making process
that will require a detailed analysis due to the large amount of uncertainty
involved.
Mandatory projects may be required by a governmental agency or insurance
company and typically involve safety-related or environmental concerns. These
projects typically generate little to no revenue, but they accompany new revenueproducing projects undertaken by the company.
Other projects. Some projects are not easily analyzed through the capital budgeting
process. Such projects may include a pet project of senior management (e.g.,
corporate perks) or a high-risk endeavor that is difficult to analyze with typical
capital budgeting assessment methods (e.g., research and development projects).
LOS 35.b: Describe the basic principles of capital budgeting.
CPA ® Program Curriculum, Volume 4, page 8
The capital budgeting process involves five key principles:
1. Decisions are based on cashflows, not accounting income. The relevant cash flows to
consider as part of the capital budgeting process are incremental cash flows, the
changes in cash flows that will occur if the project is undertaken.
Sunk costs are costs that cannot be avoided, even if the project is not undertaken.
Because these costs are not affected by the accept/reject decision, they should not
be included in the analysis. An example of a sunk cost is a consulting fee paid to a
nA
Page 2
©2015 Kaplan, Inc.
Study Session 11
Cross-Reference to CFA Institute Assigned Reading #35 - Capital Budgeting
marketing research firm to estimate demand for a new product prior to a decision
on the project.
Externalities are the effects the acceptance of a project may have on other firm
cash flows. The primary one is a negative externality called cannibalization, which
occurs when a new project takes sales from an existing product. When considering
externalities, the full implication of the new project (loss in sales of existing
products) should be taken into account. An example of cannibalization is when a
soft drink company introduces a diet version of an existing beverage. The analyst
should subtract the lost sales of the existing beverage from the expected new sales
of the diet version when estimated incremental project cash flows. A positive
externality exists when doing the project would have a positive effect on sales of a
firm's other product lines.
nA
A project has a conventional cash flow pattern if the sign on the cash flows
changes only once, with one or more cash outflows followed by one or more cash
inflows. An unconventional cash flow pattern has more than one sign change.
For example, a project might have an initial investment outflow, a series of cash
inflows, and a cash outflow for asset retirement costs at the end of the project's
life.
zyxwutsrqponmljihgfedcbaTFC
2.
Cashflows are based on opportunity costs. Opportunity costs are cash flows that a
firm will lose by undertaking the project under analysis. These are cash flows
generated by an asset the firm already owns that would be forgone if the project
under consideration is undertaken. Opportunity costs should be included in project
costs. For example, when building a plant, even if the firm already owns the land,
the cost of the land should be charged to the project because it could be sold if not
used.
3.
The timing of cashflows is important. Capital budgeting decisions account for the
time value of money, which means that cash flows received earlier are worth more
than cash flows to be received later.
4.
Cashflows are analyzed on an after-tax basis. The impact of taxes must be considered
when analyzing all capital budgeting projects. Firm value is based on cash flows they
get to keep, not those they send to the government.
5. Financing costsare reflected in the project's required rate of return. Do not consider
financing costs specific to the project when estimating incremental cash flows. The
discount rate used in the capital budgeting analysis takes account of the firm's cost
of capital. Only projects that are expected to return more than the cost of the capital
needed to fund them will increase the value of the firm.
©20 15 Kaplan, Inc.
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Study Session 11
Cross-Reference to CFA Institute Assigned Reading #35 - Capital Budgeting
LOS 35.c: Explain how the evaluation and selection of capital projects is
affected by mutually exclusive projects, project sequencing, and capital
•
•
rationmg.
utrponmligecaVPCA
CPA ® Program Curriculum, Volume 4, page 9
Independent vs. Mutually Exclusive Projects
Independent projects are projects that are unrelated to each other and allow for each
project to be evaluated based on its own profitability. For example, if projects A and
B are independent, and both projects are profitable, then the firm could accept both
projects. Mutually exclusive means that only one project in a set of possible projects
can be accepted and that the projects compete with each other. If projects A and B
were mutually exclusive, the firm could accept either Project A or Project B, but not
both. A capital budgeting decision between two different stamping machines with
different costs and output would be an example of choosing between two mutually
exclusive projects.
Project Sequencing
Some projects must be undertaken in a certain order, or sequence, so that investing in
a project today creates the opportunity to invest in other projects in the future. For
example, if a project undertaken today is profitable, that may create the opportunity
to invest in a second project a year from now. However, if the project undertaken
today turns out to be unprofitable, the firm will not invest in the second project.
Unlimited Funds vs. Capital Rationing
If a firm has unlimited access to capital, the firm can undertake all projects with
expected returns that exceed the cost of capital. Many firms have constraints on the
amount of capital they can raise and must use capital rationing. If a firm's profitable
project opportunities exceed the amount of funds available, the firm must ration, or
prioritize, its capital expenditures with the goal of achieving the maximum increase in
value for shareholders given its available capital.
LOS 35.d: Calculate and interpret net present value (NPV), internal rate of
return (IRR), payback period, discounted payback period, and profitability
index (PI) of a single capital project.
CPA ® Program Curriculum, Volume 4, page 10
Net Present Value (NPV)
We first examined the calculation of net present value (NPV) in Quantitative
Methods. The NPV is the sum of the present values of all the expected incremental
cash flows if a project is undertaken. The discount rate used is the firm's cost of
Page 4
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Study Session 11
Cross-Reference to CFA Institute Assigned Reading #35 - Capital Budgeting
capital, adjusted for the risk level of the project. For a normal project, with an initial
cash outflow followed by a series of expected after-tax cash inflows, the NPV is the
present value of the expected inflows minus the initial cost of the project.
CF1
NPV = CFo +
(l+k)l
CF2
CFn
+
+ +
(1+k)2
... (l+k)n
toB
L:
n
CFt
= t=o(l+k)t
where:
CFo = initial investment outlay (a negative cash flow)
CF t = after-tax cash flow at time t
k
= required rate of return for project
utsrponljiedcaYVPNBA
A positive NPV project is expected to increase shareholder wealth, a negative NPV
project is expected to decrease shareholder wealth, and a zero NPV project has no
expected effect on shareholder wealth.
For independent projects, the NPV decision rule is simply to accept any project with a
positive NPV and to reject any project with a negative NPV.
Example: NPV analysis
Using the project cash flows presented in Table 1, compute the NPV of each project's
cash flows and determine for each project whether it should be accepted or rejected.
Assume that the cost of capital is 100/0.
Table 1: Expected Net After-Tax Cash Flows
Year {t)
o
Project A
-$2,000
Project B
-$2,000
1
1,000
200
2
800
600
3
600
800
4
200
1,200
Answer:
NPV A = -2,000 + 1,000 + 800 + 600 + 200 = $157.64
(1.1)1 (1.1)2 (1.1)3 (1.1)4
NPV
B
= -2,000 + 200 +
(1.1)1
600 + 800 + 1,200 = $98.36
(1.1)2 (1.1)3 (1.1)4
Both Project A and Project B have positive NPVs, so both should be accepted.
You may calculate the NPV directly by using the cash flow (CF) keys on your
calculator. The process is illustrated in Table 2 and Table 3 for Project A.
©20 15 Kaplan, Inc.
Page 5
Study Session 11
Cross-Reference to CFA Institute Assigned Reading #35 - Capital BudgetingWROKIA
•
Table 2: Calculating NPVA With the TI Business Analyst II Plus
Key Strokes
Explanation
[CF] [2nd] [CLR WORK]
Clear memory registers
[+1-] [ENTER]
2,000
yxtsrponlkieaSKED
Display
CFO
Initial cash outlay
CFO
[1] 1,000 [ENTER]
Period 1 cash flow
COl
[1]
Frequency of cash flow 1
[1] 800 [ENTER]
Period 2 cash flow
[1]
Frequency of cash flow 2
[1] 600 [ENTER]
Period 3 cash flow
[1]
Frequency of cash flow 3
[1] 200 [ENTER]
Period 4 cash flow
[1]
Frequency of cash flow 4
[NPV]
10 [ENTER]
[1]
10% discount rate
Calculate NPV
[CPT]
=
0.00000
-2,000.00000
=
=
1,000.00000
FO1 = 1.00000
C02
F02
C03
F03
C04
F04
800.00000
=
=
1.00000
600.00000
=
=
1.00000
200.00000
=
=
1.00000
1= 10.00000
NPV
=
157.63951
Table 3: Calculating NPVA With the HP12C
I
Key Strokes
Explanation
Display
[f1-+[FIN] -+ [f1 -+ [REG]
Clear memory registers
0.00000
[f] [5]
Display 5 decimals. You only need to
do this once.
0.00000
Initial cash outlay
-2,000.00000
1,000 [g] [CFj]
Period 1 cash flow
1,000.00000
800 [g] [CFj]
Period 2 cash flow
800.00000
600 [g] [CFj]
Period 3 cash flow
600.00000
200 [g] [CFj]
Period 4 cash flow
200.00000
10 [i]
100/0discount rate
10.00000
[f] [NPV]
Calculate NPV
157.63951
2,000 [CHS]
[g] [CFO]
Internal Rate of Return (IRR)
For a normal project, the internal rate of return (IRR) is the discount rate that makes
the present value of the expected incremental after-tax cash inflows just equal to the
initial cost of the project. More generally, the IRR is the discount rate that makes the
Page 6
©2015 Kaplan, Inc.
Study Session 11
Cross-Reference to CFA Institute Assigned Reading #35 - Capital Budgeting
present values of a project's estimated cash inflows equal to the present value of the
project's estimated cash outflows. That is, IRR is the discount rate that makes the
following relationship hold:
PV (inflows)
=
PV (outflows)
The IRR is also the discount rate for which the NPV of a project is equal to zero:
To calculate the IRR, you may use the trial-and-error method. That is, just keep
guessing IRRs until you get the right one, or you may use a financial calculator.
usronliedcRI
IRR decision rule: First, determine the required rate of return for a given project. This
is usually the firm's cost of capital. Note that the required rate of return may be higher
or lower than the firm's cost of capital to adjust for differences between project risk
and the firm's average project risk.
If IRR > the required rate of return, accept the project.
If IRR < the required rate of return, reject the project.
Example: IRR
RI
Continuing with the cash flows presented in Table 1 for projects A and B, compute
the IRR for each project and determine whether to accept or reject each project under
the assumptions that the projects are independent and that the required rate of return
is 100/0.
Answer:
The cash flows should be entered as in Table 2 and Table 3 (if you haven't changed
them, they are still there from the calculation of NPV).
With the TI calculator, the IRR can be calculated with:
[IRR] [CPT] to get 14.4888(0/0) for Project A and 11.7906(0/0) for Project B.
©20 15 Kaplan, Inc.
Page 7
Study Session 11
Cross-Reference to CFA Institute Assigned Reading #35 - Capital Budgeting
With the HP12C, the IRR can be calculated with:
[f] [IRR]
Both projects should be accepted because their IRRs are greater than the 10%
required rate of return.
Payback Period
The payback period (PBP) is the number of years it takes to recover the initial cost of
•
an Investment.
unBA
Example: Payback period
Calculate the payback periods for the two projects that have the cash flows presented
in Table 1. Note the Year 0 cash How represents the initial cost of each project.
Answer:
Note that the cumulative net cash How (NCF) is just the running total of the cash
flows at the end of each time period. Payback will occur when the cumulative NCF
equals zero. To find the payback periods, construct Table 4.
Table 4: Cumulative
Net Cash Flows
o
Year (t)
Project A
Project B
treaY
Net cash flow
-2,000
Cumulative NCF
-2,000
Net cash flow
-2,000
Cumulative NCF
-2,000
The payback period is determined
1
1,000
-1,000
200
-1,800
2
3
4
800
600
200
-200
400
600
600
800
1,200
-400
800
-1,200
o
from the cumulative net cash How table as follows:
. d full
·1
unrecovered cost at the beginning of last year
pay b ack perlO =
years unn recovery + -----------=-_____:"'------:..__cash flow during the last year
payback period A = 2 + 200 = 2.33 years
600
payback period B = 3 + 400
1200
Page 8
=
3.33 years
©2015 Kaplan, Inc.
Study Session 11
Cross-Reference to CFA Institute Assigned Reading #35 - Capital Budgeting
Because the payback period is a measure of liquidity, for a firm with liquidity
concerns, the shorter a project's payback period, the better. However, project decisions
should not be made on the basis of their payback periods because of the method's
drawbacks.
The main drawbacks of the payback period are that it does not take into account
either the time value of money or cash flows beyond the payback period, which means
terminal or salvage value wouldn't be considered. These drawbacks mean that the
payback period is useless as a measure of profitability.
The main benefit of the payback period is that it is a good measure of project
liquidity. Firms with limited access to additional liquidity often impose a maximum
payback period and then use a measure of profitability, such as NPV or IRR, to
evaluate projects that satisfy this maximum payback period constraint.
ywvutsrqponmlkjihgfedcbaYVTPONIFDB
Professor's Note: If you have the Professional model of the TI calculator, you can
easily calculate the payback period and the discounted payback period (which
follows). Once NPV is displayed, use the down arrow to scroll through NFV
(net future value), to PB (payback), and DPB (discounted payback). You must
use the compute key when "PB=))is displayed. If the annual net cashflows are
equal, the payback period is simply project cost divided by the annual cashflow.
fI
Discounted Payback Period
The discounted payback period uses the present values of the project's estimated cash
flows. It is the number of years it takes a project to recover its initial investment in
present value terms and, therefore, must be greater than the payback period without
discounting.
Example: Discounted payback method
Compute the discounted payback period for projects A and B described in Table 5.
Assume that the firm's cost of capital is 100/0 and the firm's maximum discounted
payback period is four years.
Project B
Net Cash Flow
-2,000
200
600
800
1,200
Discounted NCF
-2,000
182
496
601
820
Cumulative DNCF
-2,000
-1,322
-721
99
-1,818
©20 15 Kaplan, Inc.
Page 9
Study Session 11
Cross-Reference to CFA Institute Assigned Reading #35 - Capital Budgeting
Answer:
429
discounted payback A = 2 + -= 2.95 years
451
oFC
discounted payback B = 3 + 721 = 3.88 years
820
The discounted payback period addresses one of the drawbacks of the payback
period by discounting cash flows at the project's required rate of return. However,
the discounted payback period still does not consider any cash flows beyond the
payback period, which means that it is a poor measure of profitability. Again, its use is
primarily as a measure of liquidity.
Profitability Index (PI)
The profitability index (PI) is the present value of a project's future cash flows divided
by the initial cash outlay:
PI
=
PV of future cash flows = 1 + NPV
CFo
CFo
The profitability index is related closely to net present value. The NPV is the
difference between the present value of future cash flows and the initial cash outlay,
and the PI is the ratio of the present value of future cash flows to the initial cash
outlay.
If the NPV of a project is positive, the PI will be greater than one. If the NPV is
negative, the PI will be less than one. It follows that the decision rule for the PI is:
usronliedc
If PI > 1.0, accept the project.
If PI < 1.0, reject the project.
Page 10
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Study Session 11
Cross-Reference to CFA Institute Assigned Reading #35 - Capital Budgeting
Example: Profitability
index
Going back to our original example, calculate the PI for projects A and B. Note that
Table 1 has been reproduced as Table 6.
BA
Table 6: Expected Net After-Tax Cash Flows
Year {t)
Project A
yxwvutsrqponmlkjihgfedcbaYVTRPNIDBA
Project B
a
-$2,000
-$2,000
1
1,000
200
2
800
600
3
600
800
4
200
1,200
Answer:
PV future cash flowsA =
1,000
1
(1.1)
+
800
2
(1.1)
+
600
3
(1.1)
+
200
4 = $2,157.64
(1.1)
= $2,157.64 = 1.079
PI
A
$2,000
PV future cash flowsg =
200
1
(1.1)
+
600
2
(1.1)
+
800
3
(1.1)
+
1,200
4 = $2,098.36
(1.1)
= $2,098.36 = 1.049
PI
B
$2,000
Decision: If projects A and B are independent,
PI > 1 for both projects.
accept both projects because
Professor's Note: The accept/reject decision rule here is exactly equivalent to
both the NPVand IRR decision rules. That is, if PI> 1, then the NPV must
be positive, and the IRR must be greater than the discount rate. Note also that
once you have the NPV; you can just add back the initial outlay to get the PVof
the cash inflows used here. Recall that the NPV of Project B is $98.36 with an
initial cost of $2, 000. PI is simply (2,000 + 98.36) / 2000.
if
©20 15 Kaplan, Inc.
Page 11
Study Session 11
Cross-Reference to CFA Institute Assigned Reading #35 - Capital Budgeting
LOS 35.e: Explain the NPV profile, compare the NPV and IRR methods
when evaluating independent and mutually exclusive projects, and describe
the problems associated with each of the evaluation methods.
urpomligecaVPFCA
CFA ® Program Curriculum, Volume 4, page 16
A project's NPV profile is a graph that shows a project's NPV for different discount
rates. The NPV profiles for the two projects described in the previous example are
presented in Figure 1. The project NPVs are summarized in the table below the graph.
The discount rates are on the x-axis of the NPV profile, and the corresponding NPV s
are plotted on the y-axis.
Figure 1: NPV Profiles
NPVBA ($)
»>
Project B's NPV Profile
Project N.s NPV Profile
_____
Crossover Rate
5
Discount Rate
00/0
50/0
100/0
150/0
NPVA
600.00
360.84
157.64
(16.66)
NPVB
800.00
413.00
98.36
(160.28)
Note that the projects' IRRs are the discount rates where the NPV profiles intersect
the x-axis, because these are the discount rates for which NPV equals zero. Recall that
the IRR is the discount rate that results in an NPV of zero.
Also notice in Figure 1 that the NPV profiles intersect. They intersect at the discount
rate for which NPVs of the projects are equal, 7.20/0. This rate at which the NPVs
are equal is called the crossover rate. At discount rates below 7.20/0 (to the left of the
intersection), Project B has the greater NPV, and at discount rates above 7.20/0, Project
A has a greater NPV. Clearly, the discount rate used in the analysis can determine
which one of two mutually exclusive projects will be accepted.
Page 12
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Study Session 11
Cross-Reference to CFA Institute Assigned ReadinglX #35 - Capital Budgeting
The NPV profiles for projects A and B intersect because of a difference in the timing
of the cash flows. Examining the cash flows for the projects (Table 1), we can see
that the total cash inflows for Project B are greater ($2,800) than those of Project A
($2,600). Because they both have the same initial cost ($2,000) at a discount rate of
zero, Project B has a greater NPV (2,800 - 2,000 :;:$800) than Project A (2,600 2,000 :;:$600).
We can also see that the cash flows for Project B come later in the project's life. That's
why the NPV of Project B falls faster than the NPV of Project A as the discount rate
increases, and the NPVs are eventually equal at a discount rate of7.20/0. At discount
rates above 7.20/0, the fact that the total cash flows of Project B are greater in nominal
dollars is overridden by the fact that Project B's cash flows come later in the project's
life than those of Project A.
Example: Crossover rate
Two projects have the following cash flows:
20Xl
20X2
20X3
20X4
-550
-300
150
300
450
50
200
300
Project A
Project B
What is the crossover rate for Project A and Project B?
Answer:
The crossover rate is the discount rate that makes the NPVs of Projects A and B equal.
That is, it makes the NPV of the differences between the two projects' cash flows equal
zero.
wtsrnifedcb
To determine the crossover rate, subtract the cash flows of Project B from those of
Project A and calculate the IRR of the differences.
Project A - Project B
CFO:;: -250; CFl
20Xl
20X2
20X3
20X4
-250
100
100
150
= 100; CF2 = 100; CF3 = 150; CPT IRR = 17.50/0
The Relative Advantages and Disadvantages of the NPV and IRR Methods
A key advantage of NPV is that it is a direct measure of the expected increase in the
value of the firm. NPV is theoretically the best method. Its main weakness is that it
does not include any consideration of the size of the project. For example, an NPV of
$100 is great for a project costing $100 but not so great for a project costing
$1 million.
©20 15 Kaplan, Inc.
Page 13
Study Session 11
Cross-Reference to CFA Institute Assigned Reading #35 - Capital Budgeting
A key advantage of IRR is that it measures profitability as a percentage, showing
the return on each dollar invested. The IRR provides information on the margin of
safety that the NPV does not. From the IRR, we can tell how much below the IRR
(estimated return) the actual project return could fall, in percentage terms, before the
project becomes uneconomic (has a negative NPV).
The disadvantages of the IRR method are (1) the possibility of producing rankings
of mutually exclusive projects different from those from NPV analysis and (2) the
possibility that a project has multiple IRRs or no IRR.
vtsronlkjigfedcaYXRPC
Conflicting Project Rankings
Consider two projects with an initial investment of €1,000 and a required rate of
return of 100/0.Project X will generate cash inflows of €500 at the end of each of the
next five years. Project Y will generate a single cash flow of €4,000 at the end of the
fifth year.
Year
0
Project X
Project Y
-€1,000
-€1,000
1
500
0
2
500
0
3
500
0
4
500
0
5
500
4,000
NPV
€895
€1,484
IRR
41.00/0
32.0%
Project X has a higher IRR, but Project Y has a higher NPV. Which is the better
project? If Project X is selected, the firm will be worth €895 more because the PV of
the expected cash flows is €895 more than the initial cost of the project. Project Y,
however, is expected to increase the value of the firm by €1,484. Project Y is the better
project. Because NPV measures the expected increase in wealth from undertaking a
project, NPV is the only acceptable criterion when ranking projects.
Another reason, besides cash flow timing differences, that NPV and IRR may give
conflicting project rankings is differences in project size. Consider two projects, one
with an initial outlay of $100,000, and one with an initial outlay of $1 million. The
smaller project may have a higher IRR, but the increase in firm value (NPV) may be
small compared to the increase in firm value (NPV) of the larger project, even though
its IRR is lower.
It is sometimes said that the NPV method implicitly assumes that project cash
flows can be reinvested at the discount rate used to calculate NPV. This is a realistic
assumption, because it is reasonable to assume that project cash flows could be used
to reduce the firm's capital requirements. Any funds that are used to reduce the firm's
capital requirements allow the firm to avoid the cost of capital on those funds. Just by
reducing its equity capital and debt, the firm could "earn" its cost of capital on funds
Page 14
©2015 Kaplan, Inc.
Study Session 11
Cross-Reference to CFA Institute Assigned Reading #35 - Capital Budgeting
used to reduce its capital requirements. If we were to rank projects by their IRRs,
we would be implicitly assuming that project cash flows could be reinvested at the
project's IRR. This is unrealistic and, strictly speaking, if the firm could earn that rate
on invested funds, that rate should be the one used to discount project cash flows.
utsrponmlihgedcbaVTRPNMICA
The "Multiple IRR" and "No IRR" Problems
If a project has cash outflows during its life or at the end of its life in addition to its
initial cash outflow, the project is said to have an unconventional cash flow pattern.
Projects with such cash flows may have more than one IRR (there may be more than
one discount rate that will produce an NPV equal to zero).
It is also possible to have a project where there is no discount rate that results in a
zero NPY, that is, the project does not have an IRR. A project with no IRR may
actually be a profitable project. The lack of an IRR results from the project having
unconventional cash flows, where mathematically, no IRR exists. NPV does not
have this problem and produces theoretically correct decisions for projects with
unconventional cash flow patterns.
Neither of these problems can arise with the NPV method. If a project has nonnormal cash flows, the NPV method will give the appropriate accept/reject decision.
LOS 35.£: Describe expected relations among an investment's NPV, company
value, and share price.
CPA ® Program Curriculum, Volume 4, page 25
Because the NPV method is a direct measure of the expected change in firm value
from undertaking a capital project, it is also the criterion most related to stock prices.
In theory, a positive NPV project should cause a proportionate increase in a company's
stock price.
©20 15 Kaplan, Inc.
Page 15
Study Session 11
Cross-Reference to CFA Institute Assigned Reading #35 - Capital Budgeting
Example: Relationship between NPV and stock price
Presstech is investing $500 million in new printing equipment. The present value of
the future after-tax cash flows resulting from the equipment is $750 million. Presstech
currently has 100 million shares outstanding, with a current market price of $45 per
share. Assuming that this project is new information and is independent of other
expectations about the company, calculate the effect of the new equipment on the
value of the company and the effect on Presstech's stock price.
Answer:
NPV of the new printing equipment project = $750 million - $500 million
= $250 million.
Value of company prior to new equipment project
share = $4.5 billion.
=
100 million shares x $45 per
Value of company after new equipment project = $4.5 billion + $250 million
= $4.75 billion.
Price per share after new equipment project = $4.75 billion / 100 million shares =
$47.50.
The stock price should increase from $45.00 per share to $47.50 per share as a result
of the project.
In reality, the impact of a project on the company's stock price is more complicated
than the previous example. A company's stock price is a function of the present value
of its expected future earnings stream. As a result, changes in the stock price will result
more from changes in expectations about a firm's positive NPV projects. If a company
announces a project for which managers expect a positive NPV but analysts expect a
lower level of profitability from the project than the company does (e.g., an acquisition),
the stock price may actually drop on the announcement. As another example, a project
announcement may be taken as a signal about other future capital projects, raising
expectations and resulting in a stock price increase that is much greater than what the
NPV of the announced project would justify.
xtsponieca
Page 16
©2015 Kaplan, Inc.
Study Session 11
Cross-Reference to CFA Institute Assigned Reading #35 - Capital Budgeting
LOS 35.a
Capital budgeting is the process of evaluating capital projects, projects with cash flows
over more than one year.
The four steps of the capital budgeting process are: (1) Generate investment ideas; (2)
Analyze project ideas; (3) Create firm-wide capital budget; and (4) Monitor decisions
and conduct a post-audit.
Categories of capital projects include: (1) Replacement projects for maintaining the
business or for cost reduction; (2) Expansion projects; (3) New product or market
development; (4) Mandatory projects to meet environmental or regulatory requirements;
(5) Other projects, such as research and development or pet projects of senior
management.
LOS 35.b
Capital budgeting decisions should be based on incremental after-tax cash flows, the
expected differences in after-tax cash flows if a project is undertaken. Sunk (already
incurred) costs are not considered, but externalities and cash opportunity costs must be
included in project cash flows.
LOS 35.c
Acceptable independent projects can all be undertaken, while a firm must choose
between or among mutually exclusive projects.
Project sequencing concerns the opportunities for future capital projects that may be
created by undertaking a current project.
If a firm cannot undertake all profitable projects because of limited ability to raise
capital, the firm should choose that group of fundable positive NPV projects with the
highest total NPV.
LOS 35.d
NPV is the sum of the present values of a project's expected cash flows and represents
the increase in firm value from undertaking a project. Positive NPV projects should be
undertaken, but negative NPV projects are expected to decrease the value of the firm.
The IRR is the discount rate that equates the present values of the project's expected
cash inflows and outflows and, thus, is the discount rate for which the NPV of a project
is zero. A project for which the IRR is greater (less) than the discount rate will have an
NPV that is positive (negative) and should be accepted (not be accepted).
The payback (discounted payback) period is the number of years required to recover the
original cost of the project (original cost of the project in present value terms).
The profitability index is the ratio of the present value of a project's future cash flows to
its initial cash outlay and is greater than one when a project's NPV is positive.
©20 15 Kaplan, Inc.
Page 17
Study Session 11
Cross-Reference to CFA Institute Assigned Reading #35 - Capital Budgeting
LOS 35.e
An NPV profile plots a project's NPV as a function of the discount rate, and it intersects
the horizontal axis (NPV == 0) at its IRR. If two NPV profiles intersect at some discount
rate, that is the crossover rate, and different projects are preferred at discount rates
higher and lower than the crossover rate.
For projects with conventional cash flow patterns, the NPV and IRR methods produce
the same accept/reject decision, but projects with unconventional cash flow patterns can
produce multiple IRRs or no IRR.
Mutually exclusive projects can be ranked based on their NPVs, but rankings based on
other methods will not necessarily maximize the value of the firm.
LOS 35.f
The NPV method is a measure of the expected change in company value from
undertaking a project. A firm's stock price may be affected to the extent that engaging in
a project with that NPV was previously unanticipated by investors.
Page 18
©2015 Kaplan, Inc.
Study Session 11
Cross-Reference to CFA Institute Assigned Reading #35 - Capital Budgeting
1.
Which of the following statements concerning the principles underlying the
capital budgeting process is most accurate?
A. Cash flows should be based on opportunity costs.
B. Financing costs should be reflected in a project's incremental cash flows.
C. The net income for a project is essential for making a correct capital
budgeting decision.
utsromleca
2.
Which of the following statements about the payback period method is least
accurate? The payback period:
A. provides a rough measure of a project's liquidity.
B. considers all cash flows throughout the entire life of a project.
C. is the number of years it takes to recover the original cost of the
•
Investment.
3.
Which of the following statements about NPV and IRR is least accurate?
A. The IRR is the discount rate that equates the present value of the cash
inflows with the present value of outflows.
B. For mutually exclusive projects, if the NPV method and the IRR method
give conflicting rankings, the analyst should use the IRRs to select the
•
proJect.
C. The NPV method assumes that cash flows will be reinvested at the cost of
capital, while IRR rankings implicitly assume that cash flows are reinvested
at the IRR.
4.
Which of the following statements is least accurate? The discounted payback
period:
A. frequently ignores terminal values.
B. is generally shorter than the regular payback.
C. is the time it takes for the present value of the project's cash inflows to
equal the initial cost of the investment.
5.
Which of the following statements about NPV and IRR is least accurate?
A. The IRR can be positive even if the NPV is negative.
B. When the IRR is equal to the cost of capital, the NPV will be zero.
C. The NPV will be positive if the IRR is less than the cost of capital.
©20 15 Kaplan, Inc.
Page 19
Study Session 11
Cross-Reference to CFA Institute Assigned Reading #35 - Capital Budgeting
Use the following data to answer Questions 6 through 10.
A company is considering the purchase of a copier that costs $5,000. Assume a
required rate of return of 100/0and the following cash flow schedule:
•
•
•
Year 1: $3,000.
Year 2: $2,000.
Year 3: $2,000.
6.
What is the project's payback period?
A. 1.5 years.
B. 2.0 years.
C. 2.5 years.
7.
The project's discounted payback period is closest to:
A. 1.4 years.
B. 2.0 years.
C. 2.4 years.
8.
What is the project's NPV?
A. -$309.
B. +$883.
C. +$1,523.
9.
The project's IRR is closest to:
A. 100/0.
B. 150/0.
C. 20%.
10.
What is the project's profitability index (PI)?
A. 0.72.
B. 1.18.
C. 1.72.
11.
An
•
•
•
•
utsroleca
analyst has gathered the following information about a project:
Cost
$10,000
Annual cash inflow
$4,000
Life
4 years
Cost of capital
120/0
Which of the following statements about the project is least accurate?
A. The discounted payback period is 3.5 years.
B. The IRR of the project is 21.9%; accept the project.
C. The NPV of the project is +$2,149; accept the project.
Page 20
©2015 Kaplan, Inc.
Study Session 11
Cross-Reference to CFA Institute Assigned Reading #35 - Capital Budgeting
Use the following data for Questions
12 and 13.
An analyst has gathered the following data about two projects, each with a 120/0
required rate of return.
ytrojecaZYP
Initial cost
Life
Cash inflows
12.
Project Y
Project Z
$15,000
$20,000
5 years
4 years
$5,000/year
$7,500/year
If the projects are independent, the company should:
A. accept Project Y and reject Project Z.
B. reject Project Y and accept Project Z.
c. accept both projects.
c
13.
If the projects are mutually exclusive, the company should:
A. reject both projects.
B. accept Project Y and reject Project Z.
C. reject Project Y and accept Project Z.
14.
The NPV profiles of two projects will intersect:
A. at their internal rates of return.
B. if they have different discount rates.
C. at the discount rate that makes their net present values equal.
15.
The post-audit is used to:
A. improve cash flow forecasts and stimulate management to improve
operations and bring results into line with forecasts.
B. improve cash flow forecasts and eliminate potentially profitable but risky
•
proJects.
C. stimulate management to improve operations, bring results into line with
forecasts, and eliminate potentially profitable but risky projects.
16.
Fullen Machinery is investing $400 million in new industrial equipment. The
present value of the future after-tax cash flows resulting from the equipment
is $700 million. Fullen currently has 200 million shares of common stock
outstanding, with a current market price of $36 per share. Assuming that this
project is new information and is independent of other expectations about the
company, what is the theoretical effect of the new equipment on Fullen's stock
price? The stock price will:
A. decrease to $33.50.
B. increase to $37.50.
C. increase to $39.50.
©20 15 Kaplan, Inc.
Page 21
Study Session 11
Cross-Reference to CFA Institute Assigned Reading #35 - Capital Budgeting
1.
A
Cash flows are based on opportunity costs. Financing costs are recognized in the project's
required rate of return. Accounting net income, which includes non-cash expenses, is
irrelevant; incremental cash flows are essential for making correct capital budgeting
decisions.
2.
B
The payback period ignores cash flows that go beyond the payback period.
3.
B
NPV should always be used if NPV and IRR give conflicting decisions.
4.
B
The discounted payback is longer than the regular payback because cash flows are
discounted to their present value.
5.
C
If IRR is less than the cost of capital, the result will be a negative NPV.
6.
B
Cash flow (CF) after year 2
the first two years.
7.
C
Year 1 discounted cash flow = 3,000 / 1.10 = 2,727; year 2 DCF = 2,000 / 1.102 =
1,653; year 3 DCF = 2,000 / 1.103 = 1,503. CF required after year 2 = -5,000 + 2,727
+1,653 = -$620,620/
year 3 DCF = 620 / 1,503 = 0.41, for a discounted payback of
2.4 years.
=
-5,000 + 3,000 + 2,000
=
o. Cost
of copier is paid back in
Using a financial calculator:
Year 1: I = 10%; FV = 3,000; N = 1; PMT = 0; CPT -+ PV = -2,727
Year 2: N = 2; FV = 2,000; CPT -+ PV = -1,653
Year 3: N = 3; CPT -+ PV = -1,503
5,000 - (2,727 + 1,653) = 620, 620 / 1,503 = 0.413, so discounted payback
= 2.4.
2 + 0.4
8.
B
NPV = CFo + (discounted cash flows years 0 to 3 calculated in Question 7)
+ (2,727 + 1,653 + 1,503) = -5,000 + 5,833 = $883.
9.
C
From the information given, you know the NPV is positive, so the IRR must be greater
than 10%. You only have two choices, 15% and 200/0. Pick one and solve the NPV; if it's
not close to zero, you guessed wrong-pick
the other one. Alternatively, you can solve
directly for the IRR as CFo = -5,000, CF1 = 3,000, CF2 = 2,000, CF3 = 2,000.
IRR = 20.64%.
=
-5,000
10. B
PI = PV of future cash flows / CFo (discounted cash flows years 0 to 3 calculated in
Question 7). PI = (2,727 + 1,653 + 1,503) /5,000 = 1.177.
11. A
The discounted payback period of 3.15 is calculated as follows:
CIb=-10,000;
and PVCF4
393
year 4 DCF
Page 22
=
PVCI1
=
4,000
1.12
4,000
4
1.12
= 2,542.
393
2,542
= 0.15,
= 3,571;
PVCI1
=
4,000
2
1.12
= 3,189;
PVCF.3 =
4,000
3
1.12
= 2,847;
CF after year 3 =-10,000 + 3,571 + 3,189 + 2,847 =-393
for a discounted payback period of 3.15 years.
©2015 Kaplan, Inc.
Study Session 11
Cross-Reference to CFA Institute Assigned Reading #35 - Capital Budgeting
12. C
Independent projects accept all with positive NPVs or IRRs greater than cost of capital.
NPV computation is easy-treat cash flows as an annuity.
Project Y: NB = 5; I = 12; PMT = 5,000; FV
NPVA = 18,024 - 15,000 = $3,024
=
0; CPT
-+
PV
=
-18,024
Project Z: N = 4; I = 12; PMT = 7,500; FV
NPVB = 22,780 - 20,000 = $2,780
=
0; CPT
-+
PV
=
-22,780
13. B
Accept the project with the highest NPY.
14. C
The crossover rate for the NPV profiles of two projects occurs at the discount rate that
results in both projects having equal NPVs.
15. A
A post-audit identifies what went right and what went wrong. It is used to improve
forecasting and operations.
16. B
The NPV of the new equipment is $700 million - $400 million = $300 million. The
value of this project is added to Fullen's current market value. On a per-share basis, the
addition is worth $300 million / 200 million shares, for a net addition to the share price
of$I.50. $36.00 + $1.50 = $37.50.
©20 15 Kaplan, Inc.
Page 23
The following is a review of the Corporate Finance principles designed to address the learning outcome
statements set forth by CFA Institute. Cross-Reference to CFA Institute Assigned Reading #36.TSPOLIFCA
COST OF CAPITAL
Study Session 11XMEA
EXAM Focus
The firm must decide how to raise the capital to fund its business or finance its growth,
dividing it among common equity, debt, and preferred stock. The mix that produces
the minimum overall cost of capital will maximize the value of the firm (share price).
From this topic review, you must understand weighted average cost of capital and
its calculation and be ready to calculate the costs of common equity, preferred stock,
and the after-tax cost of debt. Don't worry about choosing among the methods for
calculating the cost of common equity; the information given in the question will make
it clear which one to use. You must know all these methods and understand why the
marginal cost of capital increases as greater amounts of capital are raised over a given
period (usually taken to be a year).
LOS 36.a: Calculate and interpret the weighted average cost of capital (WACC)
of a company.
LOS 36.b: Describe how taxes affect the cost of capital from different capital
sources.
utsrponmligecaVPCA
CPA ® Program Curriculum, Volume 4, page 36
The capital budgeting process involves discounted cash flow analysis. To conduct such
analysis, you must know the firm's proper discount rate. This topic review discusses how,
as an analyst, you can determine the proper rate at which to discount the cash flows
associated with a capital budgeting project. This discount rate is the firm's weighted
average cost of capital (WACC) and is also referred to as the marginal cost of capital
(MCC).
Basic definitions. On the right (liability) side of a firm's balance sheet, we have debt,
preferred stock, and common equity. These are normally referred to as the capital
components of the firm. Any increase in a firm's total assets will have to be financed
through an increase in at least one of these capital accounts. The cost of each of these
components is called the component cost of capital.
Throughout this review, we focus on the following capital components and their
component costs:
kd
The rate at which the firm can issue new debt. This is the yield to
maturity on existing debt. This is also called the before-tax component
cost of debt.
kd(l - t) The after-tax cost of debt. Here, t is the firm's marginal tax rate. The aftertax component cost of debt, kd(l - t), is used to calculate the WACC.
Page 24
©20 15 Kaplan, Inc.
Study Session 11
Cross-Reference to CFA Institute Assigned Reading #36 - Cost of Capital
kps
The cost of preferred stock.
kee
The cost of common equity. It is the required rate of return on common
stock and is generally difficult to estimate.
In many countries, the interest paid on corporate debt is tax deductible. Because we are
interested in the after-tax cost of capital, we adjust the cost of debt, kd' for the firm's
marginal tax rate, t. Because there is typically no tax deduction allowed for payments to
common or preferred stockholders, there is no equivalent deduction to kps or kee.
kd
tspk
How a company raises capital and how it budgets or invests it are considered
independently. Most companies have separate departments for the two tasks. The financing
department is responsible for keeping costs low and using a balance of funding sources:
common equity, preferred stock, and debt. Generally, it is necessary to raise each type
of capital in large sums. The large sums may temporarily overweight the most recently
issued capital, but in the long run, the firm will adhere to target weights. Because of these
and other financing considerations, each investment decision must be made assuming a
WACC, which includes each of the different sources of capital and is based on the longrun target weights. A company creates value by producing a return on assets that is higher
than the required rate of return on the capital needed to fund those assets.
The WACC, as we have described it, is the cost of financing firm assets. We can view
this cost as an opportunity cost. Consider how a company could reduce its costs if it
found a way to produce its output using fewer assets, like less working capital. If we
need less working capital, we can use the funds freed up to buy back our debt and equity
securities in a mix that just matches our target capital structure. Our after-tax savings
would be the WACC based on our target capital structure multiplied by the total value
of the securities that are no longer outstanding.
For these reasons, any time we are considering a project that requires expenditures,
comparing the return on those expenditures to the WACC is the appropriate way to
determine whether undertaking that project will increase the value of the firm. This is
the essence of the capital budgeting decision. Because a firm's WACC reflects the average
risk of the projects that make up the firm, it is not appropriate for evaluating all new
projects. It should be adjusted upward for projects with greater-than-average risk and
downward for projects with less-than-average risk.
The weights in the calculation of a firm's WACC are the proportions of each source of
capital in a firm's capital structure.
Calculating a Company's Weighted Average Cost of Capital
The WACC is given by:
where:
w d = percentage of debt in the capital structure
w s = percentage of preferred stock in the capital structure
w~e = percentage of common stock in the capital structure
d
©20 15 Kaplan, Inc.
Page 25
Study Session 11
Cross-Reference to CFA Institute Assigned Reading #36 - Cost of Capital
Example: Computing WACC
Suppose Dexter, Inc.'s target capital structure is as follows:
wd = 0.45, wps = 0.05, and
Wee =
0.50
Its before-tax cost of debt is 80/0,its cost of equity is 120/0,its cost of preferred stock is
8.40/0, and its marginal tax rate is 400/0. Calculate Dexter's WACC.
Answer:
Dexter's WACC will be:
WACC
= (0.45)(0.08)(0.6)
+ (0.05)(0.084)
+ (0.50)(0.12)
= 0.0858 ::: 8.60/0
LOS 36.c: Describe the use of target capital structure in estimating WACC and
how target capital structure weights may be determined.
urpomligecaVPCA
CPA ® Program Curriculum, Volume 4, page 38
The weights in the calculation ofWACC should be based on the firm's target capital
structure; that is, the proportions (based on market values) of debt, preferred stock,
and equity that the firm expects to achieve over time. In the absence of any explicit
information about a firm's target capital structure from the firm itself, an analyst may
simply use the firm's current capital structure (based on market values) as the best
indication of its target capital structure. If there has been a noticeable trend in the firm's
capital structure, the analyst may want to incorporate this trend into his estimate of the
firm's target capital structure. For example, if a firm has been reducing its proportion of
debt financing each year for two or three years, the analyst may wish to use a weight on
debt that is lower than the firm's current weight on debt in constructing the firm's target
capital structure.
Alternatively, an analyst may wish to use the industry average capital structure as the
target capital structure for a firm under analysis.
Example: Determining target capital structure weights
The market values of a firm's capital are as follows:
•
•
•
•
Debt outstanding:
Preferred stock outstanding:
Common stock outstanding:
Total capital:
$8 million
$2 million
$10 million
$20 million
What is the firm's target capital structure based on its existing capital structure?
Page 26
©2015 Kaplan, Inc.
Study Session 11
Cross-Reference to CFA Institute Assigned Reading #36 - Cost of Capital
Answer:
debt 400/0, w d = 0.40
d
preferred stock 100/0, w ps = 0.10
common stock 500/0, wee = 0.50
For the industry average approach, we would simply use the arithmetic average of the
current market weights (for each capital source) from a sample of industry firms.
LOS 36.d: Explain how the marginal cost of capital and the investment
opportunity schedule are used to determine the optimal capital budget.
urpomligecaVPFCA
CFA ® Program Curriculum, Volume 4, page 40
A company increases its value and creates wealth for its shareholders by earning more on
its investment in assets than is required by those who provide the capital for the firm.
A firm's WACC may increase as larger amounts of capital are raised. Thus, its marginal
cost of capital, the cost of raising additional capital, can increase as larger amounts are
invested in new projects. This is illustrated by the upward-sloping marginal cost of
capital curve in Figure 1. Given the expected returns (IRRs) on potential projects, we
can order the expenditures on additional projects from highest to lowest IRR. This will
allow us to construct a downward sloping investment opportunity schedule, such as that
shown in Figure 1.
Figure 1: The Optimal Capital Budget
Project IRR
Cost of Capital
(%)
Investment
Opportunity
Schedule
Optimal
Capital Budget
Marginal
Cost of
Capital
New Capital
Raised/Invested
($)
©20 15 Kaplan, Inc.
Page 27
Study Session 11
Cross-Reference to CFA Institute Assigned Reading #36 - Cost of Capital
The intersection of the investment opportunity schedule with the marginal cost of
capital curve identifies the amount of the optimal capital budget. The intuition here
is that the firm should undertake all those projects with IRRs greater than the cost of
funds, the same criterion developed in the capital budgeting topic review. This will
maximize the value created. At the same time, no projects with IRRs less than the
marginal cost of the additional capital required to fund them should be undertaken, as
they will erode the value created by the firm.
LOS 36.e: Explain the marginal cost of capital's role in determining the net
present value of a project.
urpomligecaVPCA
CPA ® Program Curriculum, Volume 4, page 41
One cautionary note regarding the simple logic behind Figure 1 is in order. All projects
do not have the same risk. The WACC is the appropriate discount rate for projects that
have approximately the same level of risk as the firm's existing projects. This is because
the component costs of capital used to calculate the firm's WACC are based on the
existing level of firm risk. To evaluate a project with greater than (the firm's) average
risk, a discount rate greater than the firm's existing WACC should be used. Projects with
below-average risk should be evaluated using a discount rate less than the firm's WACC.
An additional issue to consider when using a firm's WACC (marginal cost of capital) to
evaluate a specific project is that there is an implicit assumption that the capital structure
of the firm will remain at the target capital structure over the life of the project.
These complexities aside, we can still conclude that the NPVs of potential projects of
firm-average risk should be calculated using the marginal cost of capital for the firm.
Projects for which the present value of the after-tax cash inflows is greater than the
present value of the after-tax cash outflows should be undertaken by the firm.
LOS 36.f: Calculate and interpret the cost of debt capital using the yield-tomaturity approach and the debt-rating approach.
CPA ® Program Curriculum, Volume 4, page 42
The after-tax cost of debt, kd(l - t), is used in computing the WACC. It is the
interest rate at which firms can issue new debt (kd) net of the tax savings from the tax
deductibility of interest, kd(t):
after-tax cost of debt = interest rate - tax savings = kd - kd(t) = kd(l - t)
after-tax cost of debt
Page 28
=
kd(l - t)
©2015 Kaplan, Inc.
Study Session 11
Cross-Reference to CFA Institute Assigned Reading #36 - Cost of Capital
Example: Cost of debt
Dexter, Inc., is planning to issue new debt at an interest rate of 80/0.Dexter has a 400/0
marginal federal-plus-state tax rate. What is Dexter's cost of debt capital?
Answer:
kd(1 - t)
d
= 80/0(1- 0.4) = 4.80/0
zyxwvutsrponmlkihgfedcbaVTPNMIFCA
Professor'sNote: It is important that you realize that the cost of debt is the market
interest rate (yTM) on new (marginal) debt, not the coupon rate on the firm's
existing debt. CPA Institute may provide you with both rates, and you need to
select the current market rate.
If a market YTM is not available because the firm's debt is not publicly traded, the
analyst may use the rating and maturity of the firm's existing debt to estimate the beforetax cost of debt. If, for example, the firm's debt carries a single-A rating and has an
average maturity of 15 years, the analyst can use the yield curve for single-A rated debt
to determine the current market rate for debt with a 15-year maturity. This approach
is an example of matrix pricing or valuing a bond based on the yields of comparable
bonds.
If any characteristics of the firm's anticipated debt would affect the yield (e.g., covenants
or seniority), the analyst should make the appropriate adjustment to his estimated
before-tax cost of debt. For firms that primarily employ floating-rate debt, the analyst
should estimate the longer-term cost of the firm's debt using the current yield curve
(term structure) for debt of the appropriate rating category.
LOS 36.g: Calculate
preferred stock.
and interpret
the cost of noncallable,
nonconvertible
CFA® Program Curriculum, Volume 4, page 45
The cost of preferred stock (kps) is:
where:
D ps = preferred dividends
P = market price of preferred
©20 15 Kaplan, Inc.
Page 29
Study Session 11
Cross-Reference to CFA Institute Assigned Reading #36 - Cost of Capital
Example: Cost of preferred stock
Suppose Dexter, Inc., has preferred stock that pays an $8 dividend per share and sells
for $100 per share. What is Dexter's cost of preferred stock?
Answer:
kps
=
$8 I $100
PI
=
0.08
=
80/0
Note that the equation kps= Dps I P is just a rearrangement of the preferred stock
valuation model P = Dps I kps' where P is the market price.
LOS 36.h: Calculate and interpret the cost of equity capital using the capital
asset pricing model approach, the dividend discount model approach, and the
bond-yield-plus risk-premium approach.
utrponmlkigecaVSRPECA
CPA ® Program Curriculum, Volume 4, page 46
The opportunity cost of equity capital (kce) is the required rate of return on the firm's
common stock. The rationale here is that the firm could avoid part of the cost of
common stock outstanding by using retained earnings to buy back shares of its own
stock. The cost of (i.e., the required return on) common equity can be estimated using
one of the following three approaches:
1. The capital asset pricing model approach.
Step 1: Estimate the risk-free rate, RFR. Yields on default risk-free debt such as
u.s. Treasury notes are usually used. The most appropriate maturity to
choose is one that is close to the useful life of the project.
Step 2: Estimate the stock's beta, {3. This is the stock's risk measure.
Step 3: Estimate the expected rate of return on the market, E(Rrnkt).
Step 4: Use the capital asset pricing model (CAPM) equation to estimate the
required rate of return:
Example: Using CAPM to estimate kce
Suppose RFR = 60/0, Rmkt = 110/0, and Dexter has a beta of 1.1. Estimate Dexter's cost
of equity.
Answer:
The required rate of return for Dexter's stock is:
kce =
Page 30
60/0 + 1.1(11 % - 60/0)
=
11.50/0
©2015 Kaplan, Inc.
Study Session 11
Cross-Reference to CFA Institute Assigned Reading #36 - Cost of Capitalywvutsrponmlihgfed
Professor'sNote: If you are unfamiliar with the capital assetpricing model, you can
find more detail and the basic elements of its derivation in the Study Session on
portfolio management.
gfI
2.
The dividend discount model approach. If dividends are expected to grow at a
constant rate, g, then the current value of the stock is given by the dividend growth
model:
where:
D 1 == next year's dividend
kee == required rate of return on common equity
g == firm's expected constant growth rate
okgD
Rearranging the terms, you can solve for kee:
D
k ce == p. 1 + g
o
In order to use kce
can be done by:
•
•
==
Dl + g, you have to estimate the expected growth rate, g. This
Po
Using the growth rate as projected by security analysts.
Using the following equation to estimate a firm's sustainable growth rate:
g
==
(retention rate)(return on equity)
==
(1 - payout rate) (ROE)
The difficulty with this model is estimating the firm's future growth rate.
Example: Estimating kce using the dividend discount model
Suppose Dexter's stock sells for $21, next year's dividend is expected to be $1, Dexter's
expected ROE is 120/0, and Dexter is expected to payout 400/0 of its earnings. What is
Dexter's cost of equity?
Answer:
g
==
(ROE)(retention
g
==
(0.12)(1 - 0.4)
kce
==
(1 /21) + 0.072
rate)
==
0.072
==
==
7.20/0
0.12 or 120/0
©20 15 Kaplan, Inc.
Page 31
Study Session 11
Cross-Reference to CFA Institute Assigned Reading #36 - Cost of Capital
3.
Bond yield plus risk premium approach. Analysts often use an ad hoc approach
to estimate the required rate of return. They add a risk premium (three to five
percentage points) to the market yield on the firm's long-term debt.
kce = bond yield + risk premium
k
Example: Estimating kce with bond yields plus a risk premium
Dexter's interest rate on long-term debt is 80/0. Suppose the risk premium is estimated
to be 50/0. Estimate Dexter's cost of equity.
Answer:
Dexter's estimated cost of equity is:
kce = 80/0 + 50/0
=
130/0
Note that the three models gave us three different estimates of kce' The CAPM
estimate was 11.50/0, the dividend discount model estimate was 120/0, and the bond
yield plus risk premium estimate was 130/0. Analysts must use their judgment to
decide which is most appropriate.
LOS 36.i: Calculate and interpret the beta and cost of capital for a project.
yurpomligecaVPCA
CPA ® Program Curriculum, Volume 4, page 52
A project's beta is a measure of its systematic or market risk. Just as we can use a firm's
beta to estimate its required return on equity, we can use a project's beta to adjust for
differences between a specific project's risk and the average risk of a firm's projects.
Because a specific project is not represented by a publicly traded security, we typically
cannot estimate a project's beta directly. One process that can be used is based on the
equity beta of a publicly traded firm that is engaged in a business similar to, and with
risk similar to, the project under consideration. This is referred to as the pure-play
method because we begin with the beta of a company or group of companies that are
purely engaged in a business similar to that of the project and are therefore comparable
to the project. Thus, using the beta of a conglomerate that is engaged in the same
business as the project would be inappropriate because its beta depends on its many
different lines of business.
The beta of a firm is a function not only of the business risks of its projects (lines of
business) but also of its financial structure. For a given set of projects, the greater a firm's
reliance on debt financing, the greater its equity beta. For this reason, we must adjust the
pure-play beta from a comparable company (or group of companies) for the company's
leverage (unlever it) and then adjust it (re-Iever it) based on the financial structure of the
company evaluating the project. We can then use this equity beta to calculate the cost of
equity to be used in evaluating the project.
Page 32
©2015 Kaplan, Inc.
Study Session 11
Cross-Reference to CFA Institute Assigned Reading #36 - Cost of Capital
To get the asset beta for a publicly traded firm, we use the following formula:
yutsrponmljifecbaIED
1
~ASSETE = ~EQUITY
1+ (1- t) 0
E
where:
DIE == comparable company's debt-to-equity ratio and t is its marginal tax rate
To get the equity beta for the project, we use the subject firm's tax rate and debt-to-equity
•
ratio:
~PROJECT = ~ASSET 1+
o
(1- t)E
The following example illustrates this technique.
Example: Cost of capital for a project
Acme, Inc., is considering a project in the food distribution business. It has a DIE
ratio of 2, a marginal tax rate of 400/0, and its debt currently has a yield of 140/0.
Balfor, a publicly traded firm that operates only in the food distribution business, has
a DIE ratio of 1.5, a marginal tax rate of 300/0, and an equity beta of 0.9. The risk-free
rate is 50/0, and the expected return on the market portfolio is 120/0. Calculate Balfor's
asset beta, the project's equity beta, and the appropriate WACC to use in evaluating
the project.
Answer:
Balfor's asset beta:
~
- 09
~ ASSET-
.
1
1+ (1- 0.3) (1.5)
= 0.439
Equity beta for the project:
~PROJECT ==
0.439[1 + (1 - 0.4)(2)]
Project cost of equity
==
==
0.966
50/0 + 0.966(120/0 - 50/0) == 11.7620/0
To get the weights of debt and equity, use the DIE ratio and give equity a value of 1.
Here, DIE == 2, so ifE == 1,0 == 2. The weight for debt, 0/(0 + E), is 2/(2 + 1) == 2/3,
and the weight for equity, E/(O + E), is 1/(2 + 1) == 1/3. The appropriate WACC for
the project is therefore:
OE
1
2
3
3
-(11.7620/0)+-(140/0)(1-0.4)
= 9.520/0
©20 15 Kaplan, Inc.
Page 33
Study Session 11
Cross-Reference to CFA Institute Assigned Reading #36 - Cost of Capital
While the method is theoretically correct, there are several challenging issues involved in
estimating the beta of the comparable (or any) company's equity:
•
•
•
•
Beta is estimated using historical returns data. The estimate is sensitive to the length
of time used and the frequency (daily, weekly, etc.) of the data.
The estimate is affected by which index is chosen to represent the market return.
Betas are believed to revert toward lover time, and the estimate may need to be
adjusted for this tendency.
Estimates of beta for small-capitalization firms may need to be adjusted upward
to reflect risk inherent in small firms that is not captured by the usual estimation
methods.
LOS 36.j: Describe uses of country risk premiums in estimating the cost of
•
equIty.
X
urpomligecaVPFCA
CFA® Program Curriculum, Volume 4, page 59
Using the CAPM to estimate the cost of equity is problematic in developing countries
because beta does not adequately capture country risk. To reflect the increased risk
associated with investing in a developing country, a country risk premium is added to
the market risk premium when using the CAPM.
The general risk of the developing country is reflected in its sovereign yield spread.
This is the difference in yields between the developing country's government bonds
(denominated in the developed market's currency) and Treasury bonds of a similar
maturity. To estimate an equity risk premium for the country, adjust the sovereign yield
spread by the ratio of volatility between the country's equity market and its government
bond market (for bonds denominated in the developed market's currency). A more
volatile equity market increases the country risk premium, other things equal.
The revised CAPM equation is stated as:
where:
CRP = country risk premium
The country risk premium can be calculated as:
CRP = sovereign yield spread
annualized standard deviation of equity index
of developing country
X -----------=------=------=-------
annualized standard deviation of sovereign bond
market in terms of the developed market currency
where:
sovereign yield spread = difference between the yields of government bonds in the
developing country and Treasury bonds of similar maturities
Page 34
©2015 Kaplan, Inc.
Study Session 11
Cross-Reference to CFA Institute Assigned Reading #36 - Cost of Capital
Example: Country risk premium
Robert Rodriguez, an analyst with Omni Corporation, is estimating the cost of equity
for a project Omni is starting in Venezuela. Rodriguez has compiled the following
information for his analysis:
•
•
•
•
Project beta = 1.25.
Expected market return = 10.40/0.
Risk-free rate = 4.20/0.
Country risk premium = 5.530/0.
Calculate the cost of equity for Omni's Venezuelan project.
Answer:
kce = RF +~[E(RMKT)- RF +CRP]
= 0.042 + 1.25[0.104 - 0.042 + 0.0553]
= 0.042 + 1.25[0.1173]
= 0.1886, or 18.860/0
LOS 36.k: Describe the marginal cost of capital schedule, explain why it
may be upward-sloping with respect to additional capital, and calculate and
interpret its break-points.
urpomligecaVPFCA
CFA® Program Curriculum, Volume 4, page 61
The marginal cost of capital (MCC) is the cost of the last new dollar of capital a firm
raises. As a firm raises more and more capital, the costs of different sources of financing
will increase. For example, as a firm raises additional debt, the cost of debt will rise to
account for the additional financial risk. This will occur, for example, if bond covenants
in the firm's existing senior debt agreement prohibit the firm from issuing additional
debt with the same seniority as the existing debt. Therefore, the company will have to
issue more expensive subordinated bonds at a higher cost of debt, which increases the
marginal cost of capital.
Also, issuing new equity is more expensive than using retained earnings due to flotation
costs (which are discussed in more detail in the next LOS). The bottom line is that
raising additional capital results in an increase in the WACC.
The marginal cost of capital schedule shows the WACC for different amounts of
financing. Typically, the MCC is shown as a graph. Because different sources of
financing become more expensive as the firm raises more capital, the MCC schedule
typically has an upward slope.
Break points occur any time the cost of one of the components of the company's WACC
changes. A break point is calculated as:
break point
amount of capital at which the component's cost of capital changes
= -----=-------------=-----------=------=---
weight of the component in the capital structure
©20 15 Kaplan, Inc.
Page 35
Study Session 11
Cross-Reference to CFA Institute Assigned Reading #36 - Cost of Capital
Example: Calculating break points
The Omni Corporation has a target capital structure of 600/0 equity and 400/0 debt.
The schedule of financing costs for the Omni Corporation is shown in the figure
below.
Schedule of Capital Costs for Omni
yxwutsrqponmlifebaWTNEDCA
Amount of New Debt
Amount of New
After- Tax Cost of Debtm
Cost of Equity
~m~~
~~~m~~I
I~--------------------------------------------------------------~
$0 to $99
4.20/0
$0 to $199
6.50/0
$100 to $199
4.60/0
$200 to $399
8.00/0
$200 to $299
5.00/0
$400 to $599
9.50/0
Calculate the break points for Omni Corporation and graph the marginal cost of
capital schedule.
Answer:
Omni will have a break point each time a component cost of capital changes, for a
total of four break points.
break pointdebt > $100mm
=
$100 million = $250 m nuIon
0.4
break pointdebt > $200mm
=
$200 million = $500 m nuIon
0.4
.
$200 million $
·11·
b reak pOlntequity>$200mm =
= 333 rru Ion
0.6
.
$400 million $66 milli
b reak p01ntequity>
$400mm =
=
7
Ion
0.6
The following figure shows Omni Corporation's WACC for the different break points.
WACC for Alternative Levels of Financing
Page 36
Capital
(in millions)
Equity (60%)
Cost of
Equity
Debt (40%)
Cost of Debt
WACC
$50
$30
6.5%
$20
4.20/0
5.58%
$250
$150
6.5%
$100
4.60/0
5.74%
$333
$200
8.0%
$133
4.60/0
6.64%
$500
$300
8.0%
$200
5.00/0
6.80%
$667
$400
9.5%
$267
5.00/0
7.70%
©2015 Kaplan, Inc.
Study Session 11
Cross-Reference to CFA Institute Assigned Reading #36 - Cost of Capital
The following figure is a graph of the marginal cost of capital schedule given in the
previous figure. Notice the upward slope of the line due to the increased financing
costs as more financing is needed.
Marginal Cost of Capital Schedule for Omni Corporation
WACC (0/0)
7.700/0
7.5
6.800/0
7.0
6.640/0
,
6.5
6.0
r
5.74%
,
,,
,
,
,
,
,,
,
250
333
5.58%
,
,
,
,
,
5.5
,
,
,
,
,
,
,
,,
,
,,
,
,,
500
667
Capital
raised
LOS 36.1: Explain and demonstrate the correct treatment of flotation costs.
ywutsrqponmlihgfedcaVPNMHFCA
CFA ® Program Curriculum, Volume 4, page 64
Flotation costs are the fees charged by investment bankers when a company raises
external equity capital. Flotation costs can be substantial and often amount to between
20/0and 7% of the total amount of equity capital raised, depending on the type of
offering.
Incorrect Treatment of Flotation Costs
Because the LOS asks for the "correct treatment of flotation costs," that implies that
there is an incorrect treatment. Many financial textbooks incorporate flotation costs
directly into the cost of capital by increasing the cost of external equity. For example, if
a company has a dividend of $1.50 per share, a current price of $30 per share, and an
expected growth rate of 60/0, the cost of equity without flotation costs would be:
re
=
$1.50(1
+ 0.06)
$30
+ 0.06 = 0.1130,
or 11.300/0
Professor's Note: Here we're using the constant growth model, rather than the
CAPM, to estimate the cost of equity.
©20 15 Kaplan, Inc.
Page 37
Study Session 11
Cross-Reference to CFA Institute Assigned Reading #36 - Cost of Capital
If we incorporate flotation costs of 4.50/0 directly into the cost of equity computation,
the cost of equity increases:
re =
$1.50(1 + 0.06)
$30 (1-0.045 )
+0.06=0.1155,or11.550/0
rnA
Correct Treatment of Flotation Costs
In the incorrect treatment we have just seen, flotation costs effectively increase the
WACC by a fixed percentage and will be a factor for the duration of the project because
future project cash flows are discounted at this higher WACC to determine project NPV.
The problem with this approach is that flotation costs are not an ongoing expense for
the firm. Flotation costs are a cash outflow that occurs at the initiation of a project and
affect the project NPV by increasing the initial cash outflow. Therefore, the correct way
to account for flotation costs is to adjust the initial project cost. An analyst should calculate
the dollar amount of the flotation cost attributable to the project and increase the initial
cash outflow for the project by this amount.
ywutsrponljihfedca
Example: Correctly accounting for Hotation costs
Omni Corporation is considering a project that requires a $400,000 cash outlay and
is expected to produce cash flows of $150,000 per year for the next four years. Omni's
tax rate is 350/0, and the before-tax cost of debt is 6.50/0.The current share price for
Omni's stock is $36 per share, and the expected dividend next year is $2 per share.
Omni's expected growth rate is 50/0.Assume that Omni finances the project with
500/0debt and 500/0equity capital and that flotation costs for equity are 4.50/0. The
appropriate discount rate for the project is the WACC.
Calculate the NPV of the project using the correct treatment of flotation costs and
discuss how the result of this method differs from the result obtained from the
incorrect treatment of flotation costs.
Page 38
©2015 Kaplan, Inc.
Cross-Reference
Study Session 11
to CFA Institute Assigned Reading #36 - Cost of Capital
Answer:
after-tax cost of debt = 6.50/0 (1- 0.35) = 4.230/0
cost of equity = $2 +0.05 = 0.1055, or 10.550/0
$36
WACC = 0.50(0.0423)+0.50(0.1055)
= 7.39%
Because the project is financed with 500/0 equity, the amount of equity capital raised is
0.50 x $400,000 = $200,000.
Flotation costs are 4.50/0, which equates to a dollar cost of $200,000 x 0.045
= $9,000.
NPV = -$400,000 -$9,000
+ $150,000 + $150,000 + $150,000 + $150,000
1.0739
(1.0739)2
(1.0739)3
(1.0739)4
= $94,640
For comparison, if we would have adjusted the cost of equity for flotation costs, the
cost of equity would have increased to 10.820/0 =
$2.00
+ 0.05 , which
$36(1- 0.045)
would have increased the WACC to 7.530/0. Using this method, the NPV of the
project would have been:
NPV = -$400,000 + $150,000 + $150,000 + $150,000 + $150,000 = $102,061
1.0753
(1.0753)2
(1.0753)3
(1.0753)4
The two methods result in significantly different estimates for the project NPV.
Adjusting the initial outflow for the dollar amount of the flotation costs is the correct
approach because it provides the most accurate assessment of the project's value once
all costs are considered.
Note that flotation costs may be tax-deductible for some firms. In that case, the initial
cash flow of the project should be adjusted by the after-tax flotation cost. In this
example, Omni would have an after-tax flotation cost of $9,000(1 - 0.35) = $5,850
and the project NPV would be $97,790.
©20 15 Kaplan, Inc.
Page 39
Study Session 11
Cross-Reference to CFA Institute Assigned Reading #36 - Cost of Capital
LOS 36.a
The weighted average cost of capital, or WACC, is calculated using weights based on the
market values of each component of a firm's capital structure and is the correct discount
rate to use to discount the cash flows of projects with risk equal to the average risk of a
firm's projects.
LOS 36.h
Interest expense on a firm's debt is tax deductible, so the pre-tax cost of debt must be
reduced by the firm's marginal tax rate to get an after-tax cost of debt capital:
after-tax cost of debt
»
kd (1 - firm's marginal tax rate)
The pre-tax and after-tax capital costs are equal for both preferred stock and common
equity because dividends paid by the firm are not tax deductible.
LOS 36.c
WACC should be calculated based on a firm's target capital structure weights.
If information on a firm's target capital structure is not available, an analyst can use the
firm's current capital structure, based on market values, or the average capital structure
in the firm's industry as estimates of the target capital structure.
LOS 36.d
A firm's marginal cost of capital (WACC at each level of capital investment) increases as
it needs to raise larger amounts of capital. This is shown by an upward-sloping marginal
cost of capital curve.
An investment opportunity schedule shows the IRRs of (in decreasing order), and the
initial investment amounts for, a firm's potential projects.
The intersection of a firm's investment opportunity schedule with its marginal cost
of capital curve indicates the optimal amount of capital expenditure, the amount of
investment required to undertake all positive NPV projects.
LOS 36.e
The marginal cost of capital (the WACC for additional units of capital) should be used
as the discount rate when calculating project NPVs for capital budgeting decisions.
Adjustments to the cost of capital are necessary when a project differs in risk from the
average risk of a firm's existing projects. The discount rate should be adjusted upward for
higher-risk projects and downward for lower-risk projects.
Page 40
©2015 Kaplan, Inc.
Study Session 11
Cross-Reference to CFA Institute Assigned Reading #36 - Cost of Capital
LOS 36.f
The before-tax cost of fixed-rate debt capital, kd' is the rate at which the firm can issue
new debt.
•
The yield-to-maturity approach assumes the before-tax cost of debt capital is the
YTM on the firm's existing publicly traded debt.
•
If a market YTM is not available, the analyst can use the debt rating approach,
estimating the before-tax cost of debt capital based on market yields for debt with
the same rating and average maturity as the firm's existing debt.
LOS 36.g
The cost (and yield) of noncallable, nonconvertible preferred stock is simply the annual
dividend divided by the market price of preferred shares.
LOS 36.h
The cost of equity capital, kee' is the required rate of return on the firm's common stock.
There are three approaches to estimating kee:
•
CAPM approach: kee;:;RFR + ~ [E(Rmkt) - RFR].
•
Dividend discount model approach: kee ;:;(D1/PO) + g.
•
Bond yield plus risk premium approach: add a risk premium of30/0 to 50/0 to the
market yield on the firm's long-term debt.
tlOED
LOS 36.i
When a project's risk differs from that of the firm's average project, we can use the beta
of a company or group of companies that are exclusively in the same business as the
project to calculate the project's required return. This pure-play method involves the
following steps:
yutrpomlheda
1. Estimate the beta for a comparable company or companies.
2.
Unlever the beta to get the asset beta using the marginal tax rate and debt-to-equity
ratio for the comparable company:
1
~ASSET = ~EQUITY
3.
D
1+ (l-t)E
Re-lever the beta using the marginal tax rate and debt-to-equity ratio for the firm
considering the project:
~PROJECT = ~ASSET 1+
D
(l-t)E
4.
Use the CAPM to estimate the required return on equity to use when evaluating the
•
proJect.
5.
Calculate the WACC for the firm using the project's required return on equity.
©20 15 Kaplan, Inc.
Page 41
Study Session 11
Cross-Reference to CFA Institute Assigned Reading #36 - Cost of Capital
LOS 36.j
A country risk premium should be added to the market risk premium in the Capital
Asset Pricing Model to reflect the added risk associated with investing in a developing
market.
LOS 36.k
The marginal cost of capital schedule shows the WACC for successively greater amounts
of new capital investment for a period, such as the coming year.
The MCC schedule is typically upward-sloping because raising greater amounts of
capital increases the cost of equity and debt financing. Break points (increases) in the
marginal cost of capital schedule occur at amounts of total capital raised equal to the
amount of each source of capital at which the component cost of capital increases,
divided by the target weight for that source of capital.
LOS 36.1
The correct method to account for flotation costs of raising new equity capital is to
increase a project's initial cash outflow by the flotation cost attributable to the project
when calculating the project's NPV.
Page 42
©2015 Kaplan, Inc.
Study Session 11
Cross-Reference to CFA Institute Assigned Reading #36 - Cost of Capital
1.
A company has $5 million in debt outstanding with a coupon rate of 120/0.
Currently, the yield to maturity (YTM) on these bonds is 140/0.If the firm's tax
rate is 400/0,what is the company's after-tax cost of debt?
A. 5.60/0.
B. 8.40/0.
C. 14.00/0.
2.
The cost of preferred stock is equal to:
A. the preferred stock dividend divided by its par value.
B. [(1 - tax rate) times the preferred stock dividend] divided by price.
C. the preferred stock dividend divided by its market price.
3.
A company's $100,80/0 preferred is currently selling for $85. What is the
company's cost of preferred equity?
A. 8.00/0.
B. 9.40/0.
C. 10.80/0.
4.
The expected dividend is $2.50 for a share of stock priced at $25. What is the
cost of equity if the long-term growth in dividends is projected to be 80/0?
A. 15%.
B. 160/0.
C. 18%.
5.
nA
An analyst gathered the
Capital structure
300/0debt
20% preferred stock
500/0common stock
following data about a company:
Required rate of return
100/0for debt
11 % for preferred stock
180/0for common stock
Assuming a 400/0tax rate, what after-tax rate of return must the company earn
on its investments?
A. 13.00/0.
B. 14.2%.
C. 18.0%.
6.
A company is planning a $50 million expansion. The expansion is to be financed
by selling $20 million in new debt and $30 million in new common stock. The
before-tax required return on debt is 9% and 140/0for equity. If the company is
in the 400/0 tax bracket, the company's marginal cost of capital is closest to:
A. 7.20/0.
B. 10.60/0.
C. 12.00/0.
tsolec
©20 15 Kaplan, Inc.
Page 43
Study Session 11
Cross-Reference to CFA Institute Assigned Reading #36 - Cost of Capital
Use the following data to answer Questions 7 through 10.
•
•
•
•
•
•
A company has a target capital structure of400/0 debt and 600/0 equity.
The company's bonds with face value of$1,000 pay a 100/0 coupon (semiannual),
mature in 20 years, and sell for $849.54 with a yield to maturity of 120/0.
The company stock beta is 1.2.
Risk-free rate is100/0, and market risk premium is 50/0.
The company is a constant-growth firm that just paid a dividend of $2, sells for $27
per share, and has a growth rate of 80/0.
The company's marginal tax rate is400/0.
7.
The company's after-tax cost of debt is:
A. 7.20/0.
B. 8.00/0.
C. 9.10/0.
8.
The company's cost of equity using the capital asset pricing model (CAPM)
approach is:
A. 16.00/0.
B. 16.60/0.
C. 16.90/0.
9.
The company's cost of equity using the dividend discount model is:
A. 15.40/0.
B. 16.00/0.
C. 16.60/0.
10.
The company's weighted average cost of capital (using the cost of equity from
CAPM) is closest to:
A. 12.50/0.
B. 13.00/0.
C. 13.50/0.
tsolec
11.
Page 44
What happens to a company's weighted average cost of capital (WACC) if the
firm's corporate tax rate increases and if the Federal Reserve causes an increase in
the risk-free rate, respectively? (Consider the events independently and assume a
beta of less than one.)
Tax rate increase
Increase in risk-free rate
A. Decrease WACC
Increase WACC
B. Decrease WACC
Decrease WACC
C. Increase WACC
Increase WACC
©2015 Kaplan, Inc.
Study Session 11
Cross-Reference to CFA Institute Assigned Reading #36 - Cost of Capital
12.
Given the following information on a company's capital structure, what is the
company's weighted average cost of capital? The marginal tax rate is 400/0.
Percent of
Before-tax
Type of capital
capital structure
component cost
Bonds
400/0
7.50/0
5%
Preferred stock
110/0
Common stock
150/0
550/0
A. 10.00/0.
B. 10.60/0.
C. 11.80/0.
13.
Derek Ramsey is an analyst with Bullseye Corporation, a major U.S.-based
discount retailer. Bullseye is considering opening new stores in Brazil and wants
to estimate its cost of equity capital for this investment. Ramsey has found that:
•
The appropriate beta to use for the project is1.3.
•
The market risk premium is60/0.
•
The risk-free interest rate is4.50/0.
•
The country risk premium for Brazil is3.1 %.
Which of the following is closest to the cost of equity that Ramsey should use in
his analysis?
A. 10.50/0.
B. 15.6%.
C. 16.30/0.
yxwutsrqonmlifecbaTNEDCA
14.
Manigault Industries currently has assets on its balance sheet of $200 million
that are financed with 700/0 equity and 300/0 debt. The executive management
team at Manigault is considering a major expansion that would require raising
additional capital. Rosannna Stallworth, the CFO of Manigault, has put
together the following schedule for the costs of debt and equity:
Amount of New
Debt {in millions}
After-Tax Cost of
Debt
Amount of New
Equity {in millions}
Cost of Equity
$0 to $49
4.0%
$0 to $99
7.00/0
$50 to $99
4.2%
$100 to $199
8.00/0
$100 to $149
4.5%
$200 to $299
9.00/0
©20 15 Kaplan, Inc.
Page 45
Study Session 11
Cross-Reference to CFA Institute Assigned Reading #36 - Cost of Capital
In a presentation to Manigault's Board of Directors, Stallworth makes the
following statements:
ytsonmlkiecaS
Statement 1: If we maintain our target capital structure of 700/0 equity and 300/0
debt, the break point at which our cost of equity will increase to
8.00/0 is $185 million in new capital.
Statement 2: If we want to finance total assets of $450 million, our marginal cost
of capital will increase to 7.560/0.
Are Stallworth's Statements 1 and 2 most likely correct or incorrect?
Statement 1
Statement 2
A. Correct
Correct
B. Incorrect
Correct
C. Incorrect
Incorrect
Page 46
15.
Black Pearl Yachts is considering a project that requires a $180,000 cash outlay
and is expected to produce cash flows of $50,000 per year for the next five years.
Black Pearl's tax rate is 250/0, and the before-tax cost of debt is 80/0.The current
share price for Black Pearl's stock is $56 and the expected dividend next year is
$2.80 per share. Black Pearl's expected growth rate is 50/0. Assume that Black
Pearl finances the project with 600/0 equity and 400/0 debt, and the flotation cost
for equity is 4.00/0. The appropriate discount rate is the weighted average cost of
capital (WACC). Which of the following choices is closest to the dollar amount
of the flotation costs and the NPV for the project, assuming that flotation costs
are accounted for properly?
Dollar amount of flotation costs
NPV of project
A. $4,320
$17,548
B. $4,320
$13,228
C. $7,200
$17,548
16.
Jay Company has a debt-to-equity ratio of 2.0. Jay is evaluating the cost of
equity for a project in the same line of business as Cass Company and will use
the pure-play method with Cass as the comparable firm. Cass has a beta of 1.2
and a debt-to-equity ratio of 1.6. The project beta most likely:
A. will be less than Jay Company's beta.
B. will be greater than Jay Company's beta.
C. could be greater than or less than Jay Company's beta.
©2015 Kaplan, Inc.
Study Session 11
Cross-Reference to CFA Institute Assigned Reading #36 - Cost of Capital
1.
B
kxtpnmkjidaTRPMKFEDCB
(1 - t) = (0.14)(1 - 0.4)
d
2.
C
Cost of preferred stock = kps = D ps / P
3.
B
kps = Dps / Pps' Dps= $100
4.
C
Using the dividend yield plus growth rate approach: kee = (D. / Po) + g = (2.50 / 25.00)
+ 80/0 = 18%.
5.
A
WACC = (wd)(kd)(1 - t) + (wps)(kps) + (wee)(kee) = (0.3)(0.1)(1 - 0.4) + (0.2)(0.11) +
(0.5)(0.18) = 130/0
6.
B
wd = 20 / (20 + 30) = 0.4, wee = 30/ (20 + 30) = 0.6
=
x
8.40/0
8% = $8, kps= 8 / 85 = 9.4%
WACC = (wd)(kd)(1 - t)
+woke(we~(ke~ =
7.20/0
(0.4)(9)(1 - 0.4)
+
(0.6)(14) = 10.560/0 = MCC
7.
A
kd(1 - t)
8.
A
Using the CAPM formula, kee = RFR
9.
B
D. = Do (1 + g) = 2(1.08) = 2.16; kce = (D, / Po) + g = (2.16/27)
=
12(1 - 0.4)
=
+
~[E(Rmkt) - RFR] = 10
+
1.2(5) = 160/0.
+ 0.08 = 16%
10. A
WACC = (wd)(kd)(1 - t) + (we~(ke~ = (0.4)(7.2) + (0.6)(16) = 12.48%
11. A
An increase in the corporate tax rate will reduce the after-tax cost of debt, causing the
WACC to fall. More specifically, because the after-tax cost of debt = (kd)(1 - t), the term
(1 - t) decreases, decreasing the after-tax cost of debt. If the risk-free rate were to
increase, the costs of debt and equity would both increase, thus causing the firm's cost of
capital to increase.
12. B
WACC = (wd)(kd)(1 - t) + (wps)(kps) + (wee)(kee) = (0.4)(7.5)(1 - 0.4) + (0.05)(11) +
(0.55)(15) = 10.60/0
13. C
ke = Rp + ~[E(RMKT) - Rp + CRPj
= 0.045 + 1.3[0.06 + 0.031]
= 0.163, or 16.3%
Note that the "market risk premium" refers to the quantity [E(RMKT)
14. C
-
Rp].
Statement 1 is incorrect. The break point at which the cost of equity changes to 8.00/0 is:
ak pOInt
ooi = amount of capital
at which the component's
cost of capital
changes
re
--=--='=--__
b
weight of the component in the WACC
-=o_
= $100 million = $142.86 million
0.70
Statement 2 is also incorrect. If Manigault wants to finance $450 million of total assets,
that means that the firm will need to raise $450 - $200 = $250 million in additional
capital. Using the target capital structure of 70% equity, 30% debt, the firm will need
to raise 0.70 x $250 = $175 million in new equity and 0.30 x $250 = $75 in new debt.
Looking at the capital schedule, the cost associated with $75 million in new debt is
©20 15 Kaplan, Inc.
Page 47
Study Session 11
Cross-Reference to CFA Institute Assigned Reading #36 - Cost of Capital
4.20/0, and the cost associated with $175 million in new equity is 8.0%. The marginal
cost of capital at that point will be (0.3xf x 4.2%) + (0.7 x 8.0%) = 6.860/0.
15. B
Because the project is financed with 60% equity, the amount of equity capital raised is
0.60 x $180,000 = $108,000.
Flotation costs are 4.0%, which equates to a dollar cost of $108,000 x 0.04
After-tax cost of debt
.
Cost 0f equity
WACC
=
=
=
8.00/0 (1 - 0.25)
$2.80
$56.00
+0.05
0.60(0.10) + 0.40(0.06)
=
=
=
$4,320.
6.0%
0.10, or 10.0%
=
8.40/0
NPV=
-$180,000-$4,320+
16. C
Page 48
$50,000 + $50,000 + $50,000 + $50,000 + $50,000 = $13,228
1.084
(1.084)2
(1.084)3
(1.084)4
(1.084)5
The project beta calculated using the pure-play method is not necessarily related in a
predictable way to the beta of the firm that is performing the project.
©20 15 Kaplan, Inc.
The following is a review of the Corporate Finance principles designed to address the learning outcome
statements set forth by CFA Institute. Cross-Reference to CFA Institute Assigned Reading #37.VUSROMLGFEA
MEASURES OF LEVERAGE
Study Session 11XMEA
EXAM Focus
Here we define and calculate various measures of leverage and the firm characteristics
that affect the levels of operating and financial leverage. Operating leverage magnifies the
effect of changes in sales on operating earnings. Financial leverage magnifies the effect
of changes in operating earnings on net income (earnings per share). The breakeven
quantity of sales is that quantity of sales for which total revenue just covers total costs.
The operating breakeven quantity of sales is the quantity of sales for which total revenue
just covers total operating costs. Be sure you understand how a firm's decisions regarding
its operating structure and scale and its decisions regarding the use of debt and equity
financing (its capital structure) affect its breakeven levels of sales and the uncertainty
regarding its operating earnings and net income.
LOS 37.a: Define and explain leverage, business risk, sales risk, operating risk,
and financial risk and classify a risk.
vutsrponmlihgfecaVTPNJCBA
CPA ® Program Curriculum, Volume 4, page 82
Leverage, in the sense we use it here, refers to the amount of fixed costs a firm has. These
fixed costs may be fixed operating expenses, such as building or equipment leases, or
fixed financing costs, such as interest payments on debt. Greater leverage leads to greater
variability of the firm's after-tax operating earnings and net income. A given change in
sales will lead to a greater change in operating earnings when the firm employs operating
leverage; a given change in operating earnings will lead to a greater change in net income
when the firm employs financial leverage.
Professor's Note: The British refer to leverage as "gearing.
J>
Business risk refers to the risk associated with a firm's operating income and is the result
of uncertainty about a firm's revenues and the expenditures necessary to produce those
revenues. Business risk is the combination of sales risk and operating risk.
•
•
Sales risk is the uncertainty
Operating risk refers to the
by fixed operating costs. The
the greater a firm's operating
about the firm's sales.
additional uncertainty about operating earnings caused
greater the proportion of fixed costs to variable costs,
risk.
Financial risk refers to the additional risk that the firm's common stockholders must
bear when a firm uses fixed cost (debt) financing. When a company finances its
operations with debt, it takes on fixed expenses in the form of interest payments. The
greater the proportion of debt in a firm's capital structure, the greater the firm's financial
risk.
©20 15 Kaplan, Inc.
Page 49
Study Session 11
Cross- Reference to CFA Institute Assigned Reading #37 - Measures of Leverage
LOS 37.b: Calculate and interpret the degree of operating leverage, the degree
of financial leverage, and the degree of total leverage.
urpomligecaVPCA
CPA ® Program Curriculum, Volume 4, page 86
The degree of operating leverage (DOL) is defined as the percentage change in
operating income (EBIT) that results from a given percentage change in sales:
~EBIT
percentage change in EBIT
DO L = -=-------------=---=------percentage change in sales
EBIT
Q
~Q
VQPF
Q
To calculate a firm's DOL for a particular level of unit sales, Q, DOL is:
Q
DOL
=
Q(P- V)
Q(P-V)-F
where:
Q = quantity of units sold
P = price per unit
V = variable cost per unit
F = fixed costs
Multiplying, we have:
DOL
=
S-TVC
S-TVC-F
where:
S
= sales
TVC = total variable costs
F
= fixed costs
Note that in this form, the denominator is operating earnings (EBIT).
Page 50
©2015 Kaplan, Inc.
Study Session 11
to CFA Institute Assigned Reading #37 - Measures of Leverage
Cross-Reference
Example: Degree of operating leverage
Consider the costs for the projects presented in the following table. Assuming that
100,000 units are produced for each firm, calculate the DOL for Atom Company and
Beta Company.
Operating Costs for Atom Company and Beta Company
Atom Company
Beta Company
Price
$4.00
$4.00
Variable costs
$3.00
$2.00
Fixed costs
$40,000
$120,000
Revenue
$400,000
$400,000
ytponmeaCBA
Answer:
For Atom Company:
Q(P-V)
DOL (Atom) = [(
QF
Q P-V
100,000( 4 - 3)
)]
-F
[100,000 (4 - 3) - 40,000]
DOL(Atom) = 100,000 = 1.67
60,000
For Beta Company:
Q(P-
DOL (Beta) = [
Q(P-
V)
V)-F]
-
100,000(4-2)
[100,000(4-2)-120,000]
DOL (Beta) = 200,000 = 2.50
80,000
The results indicate that if Beta Company has a 100/0increase in sales, its EBIT will
increase by 2.50 x 100/0= 250/0,while for Atom Company, the increase in EBIT will
be 1.67 x 100/0= 16.70/0.
It is important to note that the degree of operating leverage for a company depends
on the level of sales. For example, if Atom Company sells 300,000 units, the DOL is
decreased:
Q(P-V)
DOL (Atom) = [(
Q P-V
300,000 (4 - 3)
)]
-F
.,------_____:_-___:__---o-
[300,000 (4 - 3) - 40,000]
=
300,000
= 1.15
260,000
DOL is highest at low levels of sales and declines at higher levels of sales.
©20 15 Kaplan, Inc.
Page 51
Study Session 11
Cross- Reference to CFA Institute Assigned Reading #37 - Measures of Leverage
The degree of financial leverage (D FL) is interpreted as the ratio of the percentage
change in net income (or EPS) to the percentage change in EBIT:
DFL=
percentage change in EPS
percentage change in EBIT
For a particular level of operating earnings, DFL is calculated as:
DFL = __ E_B_I_T
__
EBIT - interest
zyxwvutsrqponmlkihgfedcbaVTSPONLFED
Professor'sNote: The terms 'earnings per share" (EPS) and "net income" are used
interchangeably in this topic review.
Example: Degree of financial leverage
From the previous example, Atom Company's operating income for selling 100,000
units is $60,000. Assume that Atom Company has annual interest expense of
$18,000. If Atom's EBIT increases by 100/0, by how much will its earnings per share
increase?
Answer:
DFL=
$60,000
= 1.43
$60,000 - $18,000
EBIT
EBIT-I
%~EPS = DFLx%~EBIT
= 1.43x100/o = 14.30/0
Hence, earnings per share will increase by 14.30/0.
Professor'sNote: Look back at the formulas for DOL and DFL and convince
yourself that if there are no fixed costs, DOL is equal to one, and that if there
are no interest costs, DFL is equal to one. Values of one mean no leverage. No
fixed costs, no operating leverage. No interest costs, no financial leverage. This
should help tie theseformulas to the concepts and help you know when you have
the formulas right (or wrong). If you plug in zero for fixed costs, DOL should be
one, and if you plug in zero for interest, DFL should be one.
ifI
Page 52
©2015 Kaplan, Inc.
Study Session 11
Cross-Reference to CFA Institute Assigned Reading #37 - Measures of Leverage
The degree of total leverage (DTL) combines the degree of operating leverage and
financial leverage. DTL measures the sensitivity of EPS to change in sales. DTL is
computed as:
DTL==DOLxDFL
DTL ==%~EBIT
%~sales
X
DTL=
X
%~EPS
%~EBIT
%~EPS
%~sales
Q(P-V)
Q(P-V)-F-I
S-TVC
DTL=----S-TVC-F-I
Example: Degree of total leverage
Continuing with our previous example, how much will Atom's EPS increase if Atom
increases its sales by 100/0?
Answer:
From the previous examples:
DOLAtom ==1.67
DFLAtom ==1.43
DTL ==DOL x DFL ==1.67 x 1.43 ==2.39
wutsrponmlihgfedcbaVTPONLFDCA
Professor's Note: There is some rounding here. If we use 1.6666 for DOL and
1.42857 for DFl, we obtain the DTl 0[2.38.
fI
Note that we also could have calculated the DTL the long way. From the previous
example, the current value of Atom's dollar sales is $4 x 100,000 ==$400,000.
S-TVC
DTL=----S-TVC-F-I
$400,000 - $300,000
= 2.38
$400,000 - $300,000 - $40,000 - $18,000
O/o~EPS ==DTL x %~sales ==2.38 x 100/0 ==23.80/0
EPS will increase by 23.80/0.
LOS 37.c: Analyze the effect of financial leverage on a company's net income
and return on equity.
CFA ® Program Curriculum, Volume 4, page 92
The use of financial leverage significantly increases the risk and potential reward to
common stockholders. The following examples involving Beta Company illustrate how
financial leverage affects net income and shareholders' return on equity (ROE).
©20 15 Kaplan, Inc.
Page 53
Study Session 11
Cross- Reference to CFA Institute Assigned Reading #37 - Measures of Leverage
Example 1: Beta Company financed with 1000/0 equity
Assume that the Beta Company has $500,000 in assets that are financed with 1000/0
equity. Fixed costs are $120,000. Beta is expected to sell 100,000 units, resulting
in operating income of [100,000 ($4 - $2)] - $120,000 = $80,000. Beta's tax rate
is 400/0. Calculate Beta's net income and return on equity if its EBIT increases or
decreases by 10%.
Answer:
Beta's Return on Equity With 1000/0 Equity Financing
EBlT Less 10%
EBIT
Interest expense
Income before taxes
Taxes at 40%
Net income
Shareholders' equity
Return on equity (ROE)
$72,000
xutspledcTPLEB
Expected EBlT
$80,000
0
EBlT Plus 10%
$88,000
0
0
$72,000
$80,000
$88,000
28,800
32,000
35,200
$43,200
$48,000
$52,800
$500,000
$500,000
$500,000
8.64%
9.60%
10.56%
Example 2: Beta Company financed with 500/0 equity and 500/0 debt
Continuing the previous example, assume that Beta Company is financed with 500/0
equity and 500/0 debt. The interest rate on the debt is 60/0. Calculate Beta's net income
and return on equity if its EBIT increases or decreases by 100/0. Beta's tax rate is 400/0.
Answer:
Beta's Return on Equity with 500/0 Equity Financing
EBIT
Interest expense at 6%
Income before taxes
Taxes at 40%
Net income
Shareholders' equity
Return on equity (ROE)
Page 54
EBlT Less 10%
Expected EBlT
EBlT Plus 10%
$72,000
$80,000
$88,000
15,000
15,000
15,000
$57,000
$65,000
$73,000
22,800
26,000
29,200
$34,200
$39,000
$43,800
$250,000
$250,000
$250,000
13.68%
©2015 Kaplan, Inc.
15.600/0
17.52%
Study Session 11
Cross-Reference to CFA Institute Assigned Reading #37 - Measures of Leverage
The interest expense associated with using debt represents a fixed cost that reduces
net income. However, the lower net income value is spread over a smaller base of
shareholders' equity, serving to magnify the ROE. In all three of the scenarios shown in
the two examples, ROE is higher using leverage than it is without leverage.
Further analyzing the differences between the examples, we can see that the use of
financial leverage not only increases the level of ROE, it also increases the rate of change
for ROE. In the unleveraged scenario, ROE varies directly with the change in EBIT. For
an increase in EBIT of 100/0, the ROE increases from 9.600/0 to 10.560/0, for a rate of
change of 100/0. In the leveraged scenario, ROE is more volatile. For an increase in EBIT
of 100/0, the ROE increases from 15.600/0 to 17.520/0, for a rate of change of 12.30/0.
zywvutsrqponmlihgfedcaVRPONEDCA
The use of financial leverage increases the risk of default but also increases the potential
return for equity holders.
Professor's Note: Recall how this relationship is reflected in the DuPont formula
used to analyze ROE. One of the components of the DuPont formula is the
equity multiplier (assets/equity), which captures the effect of financial leverage
on ROE.
LOS 37.d: Calculate the breakeven quantity of sales and determine the
company's net income at various sales levels.
LOS 37.e: Calculate and interpret the operating breakeven quantity of sales.
CPA ® Program Curriculum, Volume 4, page 99
The level of sales that a firm must generate to cover all of its fixed and variable costs is
called the breakeven quantity. The breakeven quantity of sales is the quantity of sales
for which revenues equal total costs, so that net income is zero. We can calculate the
breakeven quantity by simply determining how many units must be sold to just cover
total fixed costs.
For each unit sold, the contribution margin, which is the difference between price and
variable cost per unit, is available to help cover fixed costs. We can thus describe the
breakeven quantity of sales, QBE' as:
_ fIXedoperating costs + fIXedfinancing costs
QBE -
.
. bl
prIce - vana
.
e cost per urut
©20 15 Kaplan, Inc.
Page 55
Study Session 11
Cross-Reference to CFA Institute Assigned Reading #37 - Measures of Leverage
Example: Breakeven quantity of sales
Consider the prices and costs for Atom Company and Beta Company shown in the
following table. Compute and illustrate the breakeven quantity of sales for each
company.
Operating Costs for Atom Company and Beta Company
ytponmeaCBA
Atom Company
Beta Company
Price
$4.00
$4.00
Variable costs
$3.00
$2.00
Fixed operating costs
$10,000
$80,000
Fixed financing costs
$30,000
$40,000
Answer:
For Atom Company, the breakeven quantity is:
QEB
Q BE (A tom ) =
$10,000 + $30,000
$4.00 - $3.00
=
40 000
,
.
units
Similarly, for Beta Company, the breakeven quantity is:
Q BE (Beta ) =
$80,000 + $40,000
$4.00 - $2.00
=
60 000
,
.
unrts
The breakeven quantity and the relationship between sales revenue, total costs, net
income, and net loss are illustrated in Figures 1 and 2.
Figure 1: Breakeven Analysis for Atom Company
$
560
Net Income
480
en
(1)
:::l
c:
(1)
en
(1)
en
400
Sales Revenue (Atom)
0..
320
Total Costs (Atom)
c:
(1)
:.<
>~
(1)
0:::;-0
Net
Loss
@
160
Breakeven Point
40
Fixed Cost
0
20
40
60
For Atom Company: QBE
Page 56
80
=
100
120
($30,000 + $10,000) / ($4.00 - $3.00)
©20 15 Kaplan, Inc.
Sales Units
(l,OOOs)
=
40,000 units
Study Session 11
Cross-Reference to CFA Institute Assigned Reading #37 - Measures of Leverage
Figure 2: Breakeven Analysis for Beta Company
$
480
Net Income
400
Sales Revenue (Beta)
Total Costs (Beta)
Net
Loss
Breakeven Point
Sales Units
o
20
40
60
For Beta Company: QBE
=
80
100
(l,OOOs)oOEB
120
($80,000 + $40,000) / ($4.00 - $2.00)
=
60,000 units
We can also calculate an operating breakeven quantity of sales. In this case, we consider
only fixed operating costs and ignore fixed financing costs. The calculation is simply:
_
fixed operating costs
Q OBE -.
. bl
.
prIce - vana e cost per unit
Example:
Operating
breakeven quantity
of sales
Calculate the operating breakeven quantity
data from the previous example.
of sales for Atom and Beta, using the same
Answer:
For Atom, the operating
breakeven quantity
$10,000 / ($4.00 - $3.00)
For Beta, the operating
= 10,000 units
breakeven quantity
$80,000 / ($4.00 - $2.00)
of sales is:
of sales is:
= 40,000 units
We can summarize the effects of leverage on net income through an examination
of Figures 1 and 2. Other things equal, a firm that chooses operating and financial
structures that result in greater total fixed costs will have a higher breakeven quantity
of sales. Leverage of either type magnifies the effects of changes in sales on net income.
The further a firm's sales are from its breakeven level of sales, the greater the magnifying
effects of leverage on net income.
©20 15 Kaplan, Inc.
Page 57
Study Session 11
Cross- Reference to CFA Institute Assigned Reading #37 - Measures of Leverage
These same conclusions apply to operating leverage and the operating breakeven
quantity of sales. One company may choose a larger scale of operations (larger factory),
resulting in a greater operating breakeven quantity of sales and greater leverage, other
things equal.
Note that the degree of total leverage is calculated for a particular level of sales. The
slope of the net income line in Figures 1 and 2 is related to total leverage but is not the
same thing. The degree of total leverage is different for every level of sales.
Page 58
©2015 Kaplan, Inc.
Study Session 11
Cross-Reference to CFA Institute Assigned Reading #37 - Measures of Leverage
LOS 37.a
Leverage increases the risk and potential return of a firm's earnings and cash flows.
Operating leverage increases with fixed operating costs.
Financial leverage increases with fixed financing costs.
Sales risk is uncertainty about the firm's sales.
Business risk refers to the uncertainty about operating earnings (EBIT) and results from
variability in sales and expenses. Business risk is magnified by operating leverage.
Financial risk refers to the additional variability of EPS compared to EBIT. Financial risk
increases with greater use of fixed cost financing (debt) in a company's capital structure.
LOS 37.h
Q(P-V)
The degree of operating leverage (DOL) is calculated as
and is interpreted
Q (P-V ) -F
%~EBIT
as ----.
%~sales
The degree of financial leverage (DFL) is calculated as EBIT
EBIT-I
%~EPS
an d iIS interprete d as
i
%~EBIT
•
The degree of total leverage (DTL) is the combination
of operating and financial
%~EPS
leverage and is calculated as DOL x DFL and interpreted as
.
%~sales
LOS 37.c
Using more debt and less equity in a firm's capital structure reduces net income through
added interest expense but also reduces net equity. The net effect can be to either
increase or decrease ROE.
LOS 37.d
The breakeven quantity of sales is the amount of sales necessary to produce a net income
of zero (total revenue just covers total costs) and can be calculated as:
fIXedoperating costs + fIXedfinancing costs
price - variable cost per unit
Net income at various sales levels can be calculated as total revenue (i.e., price x quantity
sold) minus total costs (i.e., total fixed costs plus total variable costs).
LOS 37.e
The operating breakeven quantity of sales is the amount of sales necessary to produce
an operating income of zero (total revenue just covers total operating costs) and can be
calculated as:
fixed operating costs
price - variable cost per unit
©20 15 Kaplan, Inc.
Page 59
Study Session 11
Cross- Reference to CFA Institute Assigned Reading #37 - Measures of Leverage
1.
Business risk
A. operating
B. sales risk
C. operating
is the combination of:
risk and financial risk.
and financial risk.
risk and sales risk.
2.
Which of the following is a key determinant of operating leverage?
A. Level and cost of debt.
B. The competitive nature of the business.
C. The trade-off between fixed and variable costs.
3.
Which of the following statements about capital structure and leverage is most
accurate?
A. Financial leverage is directly related to operating leverage.
B. Increasing the corporate tax rate will not affect capital structure decisions.
C. A firm with low operating leverage has a small proportion of its total costs in
fixed costs.
4.
Jayco, Inc., sells blue ink for $4 a bottle. The ink's variable cost per bottle is
$2. Ink has fixed operating costs of $4,000 and fixed financing costs of $6,000.
What is Jayco's breakeven quantity of sales, in units?
A. 2,000.
B. 3,000.
C. 5,000.
5.
Jayco, Inc., sells blue ink for $4 a bottle. The ink's variable cost per bottle is
$2. Ink has fixed operating costs of $4,000 and fixed financing costs of $6,000.
What is Jayco's operating breakeven quantity of sales, in units?
A. 2,000.
B. 3,000.
C. 5,000.
6.
If Jayco's sales increase by 100/0,Jayco's EBIT increases by 150/0.If Jayco's EBIT
increases by 100/0,Jayco's EPS increases by 120/0.Jayco's degree of operating
leverage (DOL) and degree of total leverage (DTL) are closest to:
A. 1.2 DOL and 1.5 DTL.
B. 1.2 DOL and 2.7 DTL.
C. 1.5 DOL and 1.8 DTL.
utsromleca
Use the following data to answer Questions 7 and 8.
Jayco, Inc., sells 10,000 units at a price of $5 per unit. Jayco's fixed costs are $8,000,
interest expense is $2,000, variable costs are $3 per unit, and EBIT is $12,000.
7.
Page 60
Jayco's degree of operating leverage (DOL) and degree of financial leverage
(DFL) are closest to:
A. 2.50 DOL and 1.00 DFL.
B. 1.67 DOL and 2.00 DFL.
C. 1.67 DOL and 1.20 DFL.
©2015 Kaplan, Inc.
Study Session 11
Cross-Reference to CFA Institute Assigned Reading #37 - Measures of Leverage
8.
Jayco's degree of total leverage (DTL) is closest to:
A. 2.00.
B. 1.75.
C. 1.50.
9.
Vischer Concrete has $1.2 million in assets that are currently financed with
1000/0 equity. Vischer's EBIT is $300,000, and its tax rate is 300/0. IfVischer
changes its capital structure (recapitalizes) to include 400/0 debt, what is Vischer's
ROE before and after the change? Assume that the interest rate on debt is 50/0.
ROE at 1000/0 equity
ROE at 600/0 equity
A. 17.5%
26.80/0
B. 25.00/0
26.80/0
C. 25.00/0
37.5%
tsolec
©20 15 Kaplan, Inc.
Page 61
Study Session 11
Cross- Reference to CFA Institute Assigned Reading #37 - Measures of Leverage
1.LCA C
Business risk refers to the risk associated with a firm's operating income and is the
result of uncertainty about a firm's revenues and the expenditures necessary to produce
those revenues. Business risk is the combination of sales risk (the uncertainty associated
with the price and quantity of goods and services sold) and operating risk (the leverage
created by the use of fixed costs in the firm's operations).
2. C
The extent to which costs are fixed determines operating leverage.
3.
C
If fixed costs are a small percentage of total costs, operating leverage is low. Operating
leverage is separate from financial leverage, which depends on the amount of debt in the
capital structure. Increasing the tax rate would make the after-tax cost of debt cheaper.
4.
C
Q
= $4, 000 + $6, 000 = 5,000 units
BE
$4.00 - $2.00
$4,000
5. A
QOBE =
6.
DOL = 150/0= 1.5
100/0
C
$4.00 - $2.00
.
= 2, 000 units
DFL = 120/0= 1.2
100/0
DTL = DOLxDFL
7. C
8.
A
= 1.5x1.2 = 1.8
10,000(5 - 3)
6
DO L = "...---Q_.:...( P_V-,-)---:- .,------,;___:.-~
=1 7
[10,000 (5 - 3) - 8,000]
.
[Q(P- V)-F]
DFL =
EBIT =
12,000
= 1.2
EBIT - I
12,000 - 2,000
DTL=
Q(p-V)
[Q(P-V)-F-I]
10,000 (5 - 3)
.,-------.:..______;'------~
= 2, or because we
[10,000(5 - 3) - 8,000 - 2,000]
calculated the components in Question 7, DTL
Page 62
=
©2015 Kaplan, Inc.
DOL x DFL
=
1.67 x 1.2
=
2.0
Study Session 11
Cross-Reference to CFA Institute Assigned Reading #37 - Measures of Leverage
9.
A
With 100% equity:
EBIT
$300,000
Interest expense
Income before taxes
Taxes at 300/0
Net income
Shareholder's equity
ROE
=
NI/equity
0
$300,000
90,000
$210,000
$1,200,000
17.50/0
With 600/0 equity:
EBIT
$300,000
Interest expense
($480,000 at 50/0)
Income before taxes
Taxes at 300/0
24,000
$276,000
82,800
Net income
$193,200
Shareholders' equity
$720,000
ROE
=
NI/equity
26.80/0
©20 15 Kaplan, Inc.
Page 63
The following is a review of the Corporate Finance principles designed to address the learning outcome
statements set forth by CFA Institute. Cross-Reference to CFA Institute Assigned Reading #38.pVUSRNIHEDCBA
DIVIDENDS AND SHARE REpURCHASES:
BASICS
Study Session 11usocXMFEA
EXAM Focus
Dividends have been a large component of the total returns that stocks have provided
over time. Cash dividends and share repurchases are two ways that firms can payout
earnings to current shareholders. In this topic review, you will learn the terminology and
mechanics of dividend payments. You should also get comfortable with calculating the
EPS and book value of a firm after a share repurchase, given the relevant information
about the firm and the source of the funds.
LOS 38.a: Describe regular cash dividends, extra dividends, liquidating
dividends, stock dividends, stock splits, and reverse stock splits, including their
expected effect on shareholders' wealth and a company's financial ratios.
xvutsrponmligedcaVPCA
CPA ® Program Curriculum, Volume 4, page 112
Cash dividends, as the name implies, are payments made to shareholders in cash. They
come in three forms:
1. Regular dividends occur when a company pays out a portion of profits on a
consistent schedule (e.g., quarterly). A long-term record of stable or increasing
dividends is widely viewed by investors as a sign of a company's financial stability.
2.
Special dividends are used when favorable circumstances allow the firm to make a
one-time cash payment to shareholders, in addition to any regular dividends the
firm pays. Many cyclical firms (e.g., automakers) will use a special dividend to
share profits with shareholders when times are good but maintain the flexibility to
conserve cash when profits are down. Other names for special dividends include
extra dividends and irregular dividends.
3.
Liquidating dividends occur when a company goes out of business and distributes
the proceeds to shareholders. For tax purposes, a liquidating dividend is treated as a
return of capital and amounts over the investor's tax basis are taxed as capital gains.
No matter which form cash dividends take, their net effect is to transfer cash from the
company to its shareholders. The payment of a cash dividend reduces a company's assets
and the market value of its equity. This means that immediately after a dividend is paid,
the price of the stock should drop by the amount of the dividend. For example, if a
company's stock price is $25 per share and the company pays $1 per share as a dividend,
the price of the stock should immediately drop to $24 per share to account for the lower
asset and equity values of the firm.
Page 64
©2015 Kaplan, Inc.
Study Session 11
Cross- Reference to CFA Institute Assigned Reading #38 - Dividends and Share Repurchases: Basics
Stock dividends are dividends paid out in new shares of stock rather than cash. In
this case, there will be more shares outstanding, but each one will be worth less. Stock
dividends are commonly expressed as a percentage. A 200/0stock dividend means every
shareholder gets 200/0more stock. On the firm's balance sheet, issuing a stock dividend
decreases retained earnings and increases contributed capital by the same amount. Total
shareholders' equity remains unchanged.
Example: Stock dividend
Dwight Craver owns 100 shares of Carson Construction Company at a current price
of $30 per share. Carson has 1,000,000 shares of stock outstanding, and its earnings
per share (EPS) for the last year were $1.50. Carson declares a 200/0stock dividend to
all shareholders of record as of June 30.
What is the effect of the stock dividend on the market price of the stock, and what is
the impact of the dividend on Craver's ownership position in the company?
Answer:
Impact of 200/0 Stock Dividend on Shareholders
vtronkifedcSDBA
Before Stock Dividend
After Stock Dividend
Shares outstanding
1,000,000
1,000,000 x 1.20
Earnings per share
$1.50
$1.50/
Stock price
$30.00
$30.00/
Total market value
1,000,000 x $30I
Shares owned
100
Ownership value
100 x $30
Ownership stake
100/ 1,000,000
$30,000,000
=
1.20
1.20
$3,000
=
0.01 %
120 x $25
=
=
1,200,000
$1.25
=
$25.00
1,200,000 x $25
100 x 1.20
=
=
=
$30,000,000
=
120
$3,000
120/ 1,200,000
=
0.010/0
The effect of the stock dividend is to increase the number of shares outstanding by
200/0. However, because company earnings stay the same, EPS decline and the price of
the firm's stock drops from $30 to $25. Craver's receipt of more shares is exactly offset
by the drop in stock price, and his wealth and ownership position in the company are
unchanged.
I
Stock splits divide each existing share into multiple shares, thus creating more shares.
There are now more shares, but the price of each share will drop correspondingly to
the number of shares created, so there is no change in the owner's wealth. Splits are
expressed as a ratio. In a 3-for-1 stock split, each old share is split into three new shares.
Stock splits are more common today than stock dividends.
©20 15 Kaplan, Inc.
Page 65
Study Session 11
Cross-Reference to CFA Institute Assigned Reading #38 - Dividends and Share Repurchases: Basics
Example: Stock split
Carson Construction Company declares a 3-for-2 stock split. The current stock price
is $30, earnings for last year were $1.50, dividends were $0.60 per share, and there
are 1 million shares outstanding. What is the impact on Carson's shares outstanding,
stock price, EPS, dividends per share, dividend yield, PIE, and market value?
trpolkifecSPIEBA
Answer:
Impact of a 3-for-2 Stock Split on Shareholders
Before Stock Split
After Stock Split
Shares outstanding
1,000,000
1,000,000 xI (3/2)
Stock price
$30.00
$30.00 I (3/2) = $20.00
Earnings per share
$1.50
$1.50 I (3/2) = $1.00
Dividends per share
$0.60
$0.60 I (3/2) = $0.40
Dividend yield
$0.60 I $30.00 = 2.0%
$0.40 I $20.00 = 2.0%
PIE ratio
$30.00 I $1.50 = 20
$20.00 I $1.00 = 20
Total market value
1,000,000 x $30
1,500,000 x $20
=
$30,000,000
=
=
1,500,000
$30,000,000
The number of shares outstanding increases, but the stock price, EPS, and dividends
per share decrease by a proportional amount. The dividend yield, PIE ratio, and total
market value of the firm remain the same. As in our prior example, the effect on the
firm's shareholders also remains the same. The number of shares would increase
(100 x 3 12= 150), but the ownership value and stake are unchanged.
The bottom line for stock splits and stock dividends is that they increase the total
number of shares outstanding, but because the stock price and earnings per share are
adjusted proportionally, the value of a shareholder's total shares is unchanged.
Some firms use stock splits and stock dividends to keep stock prices within a perceived
optimal trading range of $20 to $80 per share. What does academic research have to say
about this?
•
•
•
•
Stock prices tend to rise after a split or stock dividend.
Price increases appear to occur because stock splits are taken as a positive signal from
management about future earnings.
If a report of good earnings does not follow a stock split, prices tend to revert to
their original (split-adjusted) levels.
Stock splits and dividends tend to reduce liquidity due to higher percentage
brokerage fees on lower-priced stocks.
The conclusion is that stock splits and stock dividends create more shares but don't
increase shareholder value.
Page 66
©2015 Kaplan, Inc.
Study Session 11
Cross-Reference to CFA Institute Assigned Reading #38 - Dividends and Share Repurchases: Basics
Reverse stock splits are the opposite of stock splits. After a reverse split, there are fewer
shares outstanding but a higher stock price. Because these factors offset one another,
shareholder wealth is unchanged. The logic behind a reverse stock split is that the
perceived optimal stock price range is $20 to $80 per share, and most investors consider
a stock with a price less than $5 per share less than investment grade. Exchanges may
impose a minimum stock price and delist those that fall below that price. A company in
financial distress whose stock has fallen dramatically may declare a reverse stock split to
increase the stock price.
Effects on Financial Ratios
Paying a cash dividend decreases assets (cash) and shareholders' equity (retained
earnings). Other things equal, the decrease in cash will decrease a company's liquidity
ratios and increase its debt-to-assets ratio, while the decrease in shareholders' equity will
increase its debt-to-equity ratio.
Stock dividends, stock splits, and reverse stock splits have no effect on a company's
leverage ratios or liquidity ratios. These transactions do not change the value of a
company's assets or shareholders' equity; they merely change the number of equity
shares.
LOS 38.b: Describe dividend payment chronology, including the significance
of declaration, holder-of-record, ex-dividend, and payment dates.
urpomligecaVPFCA
CFA® Program Curriculum, Volume 4, page 120
An example of a typical dividend payment schedule is shown in Figure 1.
Figure 1: Dividend Payment Chronology
Declaration date
Ex-dividend date
Holder-of-record
date
August 25
September 15
September 17
•
•
•
•
Payment date
September 30
Declaration date. The date the board of directors approves payment of the dividend.
Ex-dividend date. The first day a share of stock trades without the dividend. The
ex-dividend date is also the cutoff date for receiving the dividend and occurs two
business days before the holder-of-record date. If you buy the share on or after the
ex-dividend date, you will not receive the dividend.
Holder-of-record date. The date on which the shareholders of record are designated
to receive the dividend.
Payment date. The date the dividend checks are mailed out orwhen the payment is
electronically transferred to shareholder accounts.
©20 15 Kaplan, Inc.
Page 67
Study Session 11
Cross-Reference to CFA Institute Assigned Reading #38 - Dividends and Share Repurchases: Basics
Stocks are traded ex-dividend on and after the ex-dividend date, so stock prices should
fall by the amount of the dividend on the ex-dividend date. Because of taxes, however,
the drop in price may be closer to the after-tax value of dividends.
yxwvutsrponmlkihgfedcbaVTPNFCA
Professor's Note: The reason that the bolder-of-record date is two business days
after the ex-dividend date has to do with the fact that the settlement date for
stocks is three business days after the trade date (t + 3). If an investor buys a
stock the day before the ex-dividend date, the trade will settle three business days
later on the bolder-of-record date, and the investor will receive the dividend.
fI
LOS 38.c: Compare share repurchase methods.
CFA® Program Curriculum, Volume 4, page 124
A share repurchase is a transaction in which a company buys back shares of its own
common stock. Companies use three methods to repurchase shares:
1. Buy in the open market. Companies may repurchase stock in the open market
at the prevailing market price. A share repurchase is authorized by the board of
directors for a certain number of shares. Buying in the open market gives the
company the flexibility to choose the timing of the transaction.
2.
Buy a fixed number of shares at a fixed price. A company may repurchase stock
by making a tender offer to repurchase a specific number of shares at a price that
is usually at a premium to the current market price. Shareholders may tender their
shares according to the terms of the offer. If shareholders try to tender more shares
than the total repurchase, the company will typically buy back a pro rata amount
from each shareholder. The company may select a tender offer price or use a Dutch
auction (described in the Economics topic review for Demand and Supply Analysis:
Introduction) to determine the lowest price at which it can repurchase the number
of shares desired.
3.
Repurchase by direct negotiation. Companies may negotiate directly with a large
shareholder to buy back a block of shares, usually at a premium to the market price.
A company may engage in direct negotiation in order to keep a large block of shares
from coming into the market and reducing the stock price or to repurchase shares
from a potential acquirer after an unsuccessful takeover attempt. If the firm pays
more than market value for the shares, the result is an increase in wealth for the
seller and an equal decrease in wealth for remaining firm shareholders.
LOS 38.d: Calculate and compare the effect of a share repurchase on earnings
per share when 1) the repurchase is financed with the company's excess cash
and 2) the company uses debt to finance the repurchase.
CFA® Program Curriculum, Volume 4, page 126
A share repurchase will reduce the number of shares outstanding, which will tend to
increase earnings per share. On the other hand, purchasing shares with company funds
will reduce interest income and earnings, and purchasing shares with borrowed funds
incurs interest costs, which will reduce earnings directly by the after-tax cost of the
Page 68
©2015 Kaplan, Inc.
Study Session 11
Cross- Reference to CFA Institute Assigned Reading #38 - Dividends and Share Repurchases: Basics
borrowed funds. The relation of the percentage decrease in earnings and the percentage
decrease in the number of shares used to calculate EPS will determine whether the effect
of a stock repurchase on EPS will be positive or negative.
Before we look at the calculations involved in determining the effect of a share
repurchase on EPS, consider the following intuitive approach. The earnings yield for
a share of stock is simply EPS divided by the share price. A $20 stock with EPS of $1
has an earnings yield of 5%. If the after-tax yield on company funds used to repurchase
shares, or the after-tax cost of borrowed funds used to repurchase shares, is greater than
50/0, EPS will fall as a result of the repurchase. If the after-tax yield on company funds
used to repurchase shares, or the after-tax cost of borrowed funds used to repurchase
shares, is less than 50/0, EPS will rise as a result of the repurchase.
Example: Share repurchase when after-tax cost of debt is less than earnings yield
Spencer Pharmaceuticals, Inc., (SPI) plans to borrow $30 million that it will use to
repurchase shares. SPI's chief financial officer has compiled the following information:
•
•
•
•
•
•
Share price at the time of buyback = $50.
Shares outstanding before buyback = 20,000,000.
EPS before buyback = $5.00.
Earnings yield = $5.00 I $50 = 100/0.
After-tax cost of borrowing = 80/0.
Planned buyback = 600,000 shares.
fX
PIE
Calculate the EPS after the buyback.
Answer:
total earnings
=
$5.00 x 20,000,000
=
$100,000,000
f
total earnings - after-tax cost of funds
EPS a ter b uy b ac k = -----=---------shares outstanding after buyback
_ $100,000,000-(600,000
shares
X
$50
X
0.08)
(20,000,000 - 600,000) shares
$100,000,000 - $2,400,000
19,400,000 shares
$97,600,000
19,400,000 shares
= $5.03
Because the 80/0after-tax cost of borrowing is less than the 100/0earnings yield (E/P)
of the shares, the share repurchase will increase the company's EPS.
©20 15 Kaplan, Inc.
Page 69
Study Session 11
Cross-Reference to CFA Institute Assigned Reading #38 - Dividends and Share Repurchases: Basics
Example: Share repurchase when after-tax cost of debt is greater than earnings yield
Spencer Pharmaceuticals, Inc., (SPI) plans to borrow $30 million that it will use to
repurchase shares. Creditors perceive the company to be a significant credit risk, and
the after-tax cost of borrowing is 150/0. Using the other information from the previous
example, calculate the EPS after the buyback.
Answer:
EPS aft er b uy b ack =
total earnings - after-tax cost of funds
shares outstanding after buyback
$100,000,000 - (600,000 shares X$50 XO.15)
(20,000,000 - 600,000) shares
$100,000,000 - $4,500,000
19,400,000 shares
$95,500,000
19,400,000 shares
= $4.92
Because the after-tax cost of borrowing of 150/0exceeds the earnings yield of 100/0, the
added interest paid reduces EPS after the buyback.
The conclusion is that a share repurchase using borrowed funds will increase EPS if the
after-tax cost of debt used to buy back shares is less than the earnings yield of the shares
before the repurchase. It will decrease EPS if the cost of debt is greater than the earnings
yield, and it will not change EPS if the two are equal.
Page 70
©2015 Kaplan, Inc.
Study Session 11
Cross- Reference to CFA Institute Assigned Reading #38 - Dividends and Share Repurchases: Basics
LOS 38.e: Calculate the effect of a share repurchase on book value per share.
urpomligecaVPFCA
CFA® Program Curriculum, Volume 4, page 129
Share repurchases may also have an impact on the book value of a share of stock.
Example: Effect of a share repurchase on book value per share
The share prices of Blue, Inc., and Red Company are both $25 per share, and each
company has 20 million shares outstanding. Both companies have announced a
$10 million stock buyback. Blue, Inc., has a book value of $300 million, while Red
Company has a book value of $700 million.
Calculate the book value per share (BVPS) of each company after the share
repurchase.
Answer:
Share buyback for both companies = $10 million / $25 per share = 400,000 shares.
Remaining shares for both companies
= 20 million - 400,000 = 19.6 million.
Blue, Inc.'s current BVPS = $300 million / 20 million = $15.
The market price per share of $25 is greater than the BVPS of $15.
Book value after repurchase: $300 million - $10 million = $290 million
BVPS = $290 million / 19.6 million = $14.80
BVPS decreased by $0.20
Red Company's current BVPS = $700 million / 20 million = $35.
The market price per share of $25 is less than the BVPS of $35.
Book value after repurchase: $700 million - $10 million = $690 million
BVPS = $690 million / 19.6 million = $35.20
BVPS increased by $0.20
The conclusion is that BVPS will decrease if the repurchase price is greater than the
original BVPS and increase if the repurchase price is less than the original BVPS.
LOS 38.f: Explain why a cash dividend and a share repurchase of the same
amount are equivalent in terms of the effect on shareholders' wealth, all else
being equal.
CFA® Program Curriculum, Volume 4, page 130
Because shares are repurchased using a company's own cash, a share repurchase can
be considered an alternative to a cash dividend as a way of distributing earnings to
shareholders.
©20 15 Kaplan, Inc.
Page 71
Study Session 11
Cross-Reference to CFA Institute Assigned Reading #38 - Dividends and Share Repurchases: Basics
Assuming the tax treatment of the two alternatives is the same, a share repurchase has
the same impact on shareholder wealth as a cash dividend payment of an equal amount.
Example: Impact of share repurchase and cash dividend of equal amounts
Spencer Pharmaceuticals, Inc., (SPI) has 20,000,000 shares outstanding with a current
market value of $50 per share. SPI made $100 million in profits for the recent quarter,
and because only 700/0of these profits will be reinvested back into the company, SPI's
Board of Directors is considering two alternatives for distributing the remaining 300/0
to shareholders:
•
•
Pay a cash dividend of $30,000,000/ 20,000,000 shares = $1.50 per share.
Repurchase $30,000,000 worth of common stock.
Assume that dividends are received when the shares go ex-dividend, the stock can be
repurchased at the market price of $50 per share, and there are no differences in tax
treatment between the two alternatives. How would the wealth of an SPI shareholder
be affected by the board's decision on the method of distribution?
Answer:
(1) Cash dividend
After the shares go ex-dividend, a shareholder of a single share would have $1.50 in
cash and a share worth $50 - $1.50 = $48.50.
The ex-dividend value of $48.50 can also be calculated as the market value of equity
after the distribution of the $30 million, divided by the number of shares outstanding
after the dividend payment:
(20,000,000) ($50) - $30,000,000
$4
...;.__---.:........;.______.:.----= 8.50
20,000,000
total wealth from the ownership of one share
= $48.50
+ $1.50
= $50
(2) Share repurchase
With $30,000,000, SPI could repurchase $30,000,000 / $50 = 600,000 shares of
common stock. The share price after the repurchase is calculated as the market value
of equity after the $30,000,000 repurchase divided by the shares outstanding after the
repurchase:
(20,000,000)($50) - $30,000,000 = $970,000,000 = $50
20,000,000 - 600,000
19,400,000
total wealth from the ownership of one share = $50
Page 72
©2015 Kaplan, Inc.
Study Session 11
Cross- Reference to CFA Institute Assigned Reading #38 - Dividends and Share Repurchases: Basics
LOS 38.a
Cash dividends are a payment from a company to a shareholder that reduces both the
value of the company's assets and the market value of equity. They can come in the
forms of regular, special, or liquidating dividends.
Stock dividends are distributions of new shares rather than cash. Stock splits divide each
existing share into multiple shares. Both create more shares, but there is a proportionate
drop in the price per share, so there is no effect on the total value of each shareholder's
shares.
Other things equal, paying a cash dividend decreases liquidity ratios and increases
leverage ratios. Stock dividends and stock splits do not affect liquidity or leverage ratios.
LOS 38.h
The chronology of a dividend payout is:
•
Declaration date.
•
Ex-dividend date.
•
Holder-of-record date.
•
Payment date.
Stocks purchased on or after the ex-dividend date will not receive the dividend. The
ex-dividend date is two business days prior to the holder-of-record date.
LOS 38.c
Companies can repurchase shares of their own stock by buying shares in the open
market, buying back a fixed number of shares at a fixed price through a tender offer, or
directly negotiating to buy a large block of shares from a large shareholder.
LOS 38.d
The effect of share repurchases using borrowed funds on EPS is:
•
If the company's E/P is equal to the after-tax cost of borrowing, there will be no
effect on EPS.
•
If the company's E/P is greater than the after-tax cost of borrowing, EPS will
•
Increase.
•
If the company's E/P is less than the after-tax cost of borrowing, EPS will decrease.
PE
LOS 38.e
The effect of a share repurchase on book value per share is:
•
An increase if the share price is less than the original BVPS.
•
A decrease if the share price is greater than the original BVPS.
LOS 38.f
A share repurchase is economically equivalent to a cash dividend of an equal amount,
assuming the tax treatment of the two alternatives is the same.
©20 15 Kaplan, Inc.
Page 73
Study Session 11
Cross-Reference to CFA Institute Assigned Reading #38 - Dividends and Share Repurchases: Basics
Page 74
1.
Which of the following is most likely to increase shareholders' wealth?
A. A stock dividend.
B. A stock split.
C. A special dividend.
2.
Which of the following is most accurate? The first date on which the purchaser of
a stock will not receive a dividend that has been declared is the:
A. declaration date.
B. ex-dividend date.
C. holder-of-record date.
3.
A share repurchase that begins with a company communicating to shareholders
a specific number of shares and a range of acceptable prices is most likely to be
a(n):
A. open market repurchase.
B. fixed price tender offer.
C. Dutch auction.
4.
If a company's after-tax borrowing rate is greater than the company's earning
yield when the company repurchases stock with borrowed money, going
forward, the earnings per share is most likely to:
A. increase.
B. decrease.
C. remain unchanged.
5.
After a share repurchase, book value per share is most likely to increase if, prepurchase, BVPS was:
A. greater than the market price per share.
B. less than the market price per share.
C. negative.
6.
A company is considering either an open market share repurchase or a cash
dividend of an equal amount. Compared to the open market share repurchase,
the cash dividend is most likely to:
A. increase a shareholder's wealth by a greater amount.
B. increase a shareholder's wealth by a lesser amount.
C. have a relative impact that depends on the tax treatment of the two
alternatives.
7.
Studdard Controls recently declared a quarterly dividend of $1.25 payable on
Thursday, April 25, to holders of record on Friday, April 12. What is the last
day an investor could purchase Studdard stock and still receive the quarterly
dividend?
A. April 9.
B. April 10.
C. April 12.
yutsromlkieca
©2015 Kaplan, Inc.
Study Session 11
Cross- Reference to CFA Institute Assigned Reading #38 - Dividends and Share Repurchases: Basics
8.
Arizona Seafood, Inc., plans $45 million in new borrowing to repurchase
3,600,000 shares at their market price of $12.50. The yield on the new debt
will be 120/0.The company has 36 million shares outstanding and EPS of $0.60
before the repurchase. The company's tax rate is 400/0.The company's EPS after
the share repurchase will be closest to:
A. $0.50.
B. $0.57.
c. $0.67.
tsolec
c
9.
Northern Financial Co. has a BVPS of $5. The company has announced a $15
million share buyback. The share price is $60 and the company has 40 million
shares outstanding. After the share repurchase, the company's BVPS will be
closest to:
A. $4.65.
B. $4.90.
C. $5.03.
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Cross-Reference to CFA Institute Assigned Reading #38 - Dividends and Share Repurchases: Basics
1.
C
"Special" dividends (also known as "extra" or "irregular" dividends) are likely
associated with increased shareholder wealth because they are usually used to
excess profits to shareholders after a period of unusually high earnings. Stock
and stock splits create more shares; however, there is a proportionate drop in
per share, so there is no effect on shareholder wealth.
2.
B
The chronology of a dividend payout is declaration date, ex-dividend date, holder-ofrecord date, and payment date. The ex-dividend date is the cutoff date for receiving the
dividend: stocks purchased on or after the ex-dividend date will not receive the dividend.
3.
C
Dutch auctions begin with the company communicating to shareholders a specific
number of shares and a range of acceptable prices. When companies repurchase shares
in the open market, they buy at market prices and in quantities as conditions warrant.
In a fixed price tender offer, the company announces a fixed number of shares to be
repurchased and a fixed price.
4.
B
Earnings per share is expected to decrease after a share repurchase if the company's aftertax borrowing rate is greater than the company's earning yield.
5.
A
Book value per share will increase after a share repurchase if book value per share was
greater than market price per share. BVPS will decrease after a share repurchase if BVPS
was less than market price.
6.
C
A share repurchase is economically equivalent to a cash dividend of an equal amount,
assuming the tax treatment of the two alternatives is the same.
7.
A
If an investor purchases shares of stock on or after the ex-dividend date, she will NOT
receive the dividend. Therefore, to receive the dividend, the investor must purchase
stock the day before the ex-dividend date. The ex-dividend day is always two business
days before the holder-of-record date. Two days before April 12 is April 10; therefore,
the last day the investor can purchase shares and still receive the dividend is April 9.
8.
B
Total earnings are $0.60 x 36,000,000
=
$21,600,000.
After-tax cost of debt is 12% x (1 - 0.40)
EPS after buyback
=
=
7.20/0.
total earnings - after-tax cost of funds
shares outstanding after buyback
$21,600,000 - (3,600,000 shares x$12.50 x 0.072)
36,000,000 shares - 3,600,000 shares
EPS
Page 76
=
$21,600,000 - $3,240,000
$18,360,000
32,400,000 shares
32,400,000 shares
$0.57
©2015 Kaplan, Inc.
to be
distribute
dividends
the price
Study Session 11
Cross- Reference to CFA Institute Assigned Reading #38 - Dividends and Share Repurchases: Basics
9.
A
Shares to be repurchased are $15 million / $60
=
250,000 shares.
Remaining shares after the repurchase will be 40,000,000
shares.
Book value before the repurchase is 40,000,000
x $5.00
Book value after the repurchase will be $200,000,000
BVPS
=
$185,000,000
/ 39,750,000
=
- 250,000
=
=
39,750,000
$200,000,000.
- $15,000,000
=
$185,000,000.
$4.654 per share.
©20 15 Kaplan, Inc.
Page 77
The following is a review of the Corporate Finance principles designed to address the learning outcome
statements set forth by CFA Institute. Cross-Reference to CFA Institute Assigned Reading #39.WTRPONMLKIGECA
WORKING CAPITAL MANAGEMENT
Study Session 11XMEA
EXAM Focus
Firm liquidity is an important concern for an analyst, including how a firm manages its
working capital, its short-term financing policy, and its sources of short-term financing for
liquidity needs. A good portion of this topic review repeats material on ratios and yield
calculations from previous topic areas and introduces types of debt securities that will also
be covered in the topic reviews for fixed income investments.
New concepts introduced here are the management of current assets and liabilities, types
of short-term bank financing, and the receivables aging schedule. Understand well why
the management of inventory, receivables, and payables is important to a firm's overall
profitability and value. The general guidelines for establishing and evaluating a firm's
short-term investment policies and for evaluating short-term funding strategy and policy
should be sufficient here. Focus on the overall objectives and how they can be met.
LOS 39.a: Describe primary and secondary sources of liquidity and factors that
influence a company's liquidity position.
wutsrponmlihgfedcbaVPCA
CPA ® Program Curriculum, Volume 4, page 143
A company's primary sources of liquidity are the sources of cash it uses in its normal
day-to-day operations. The company's cash balances result from selling goods and
services, collecting receivables, and generating cash from other sources such as
short-term investments. Typical sources of short-term funding include trade credit
from vendors and lines of credit from banks. Effective cashflow management of a firm's
collections and payments can also be a source of liquidity for a company.
Secondary sources of liquidity include liquidating short-term or long-lived assets,
negotiating debt agreements (i.e., renegotiating), or filing for bankruptcy and
reorganizing the company. While using its primary sources of liquidity is unlikely to
change the company's normal operations, resorting to secondary sources of liquidity
such as these can change the company's financial structure and operations significantly
and may indicate that its financial position is deteriorating.
Factors That Influence a Company's Liquidity Position
In general, a company's liquidity position improves if it can get cash to flow in more
quickly and flow out more slowly. Factors that weaken a company's liquidity position are
called drags and pulls on liquidity.
Page 78
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Cross-Reference to CFA Institute Assigned Reading #39 - Working Capital Management
Drags on liquidity delay or reduce cash inflows, or increase borrowing costs. Examples
include uncollected receivables and bad debts, obsolete inventory (takes longer to sell
and can require sharp price discounts), and tight short-term credit due to economic
conditions.
Pulls on liquidity accelerate cash outflows. Examples include paying vendors sooner
than is optimal and changes in credit terms that require repayment of outstanding
balances.
LOS 39.h: Compare a company's liquidity measures with those of peer
•
companIes.
vutsrqponmlkigedcbaVPFCA
CFA® Program Curriculum,
Volume
4, page 145
Some companies tend to have chronically weak liquidity positions, often due to specific
factors that affect the company or its industry. These companies typically need to borrow
against their long-lived assets to acquire working capital.
Liquidity ratios are employed by analysts to determine the firm's ability to pay its shortterm liabilities.
•
The current ratio is the best-known measure of liquidity:
•
current assets
current rano = ------current liabilities
The higher the current ratio, the more likely it is that the company will be able to
pay its short-term bills. A current ratio of less than one means that the company has
negative working capital and is probably facing a liquidity crisis. Working capital
equals current assets minus current liabilities.
•
The quick ratio or acid-test ratio is a more stringent measure of liquidity because it
does not include inventories and other assets that might not be very liquid:
. k
.
cash + short-term marketable securities + receivables
qUlc rano =
current liabilities
The higher the quick ratio, the more likely it is that the company will be able to pay
its short-term bills.
The current and quick ratios differ only in the assumed liquidity of the current
assets that the analyst projects will be used to payoff current liabilities.
•
A measure of accounts receivable liquidity is the receivables turnover:
credit sales
receivables turnover == ------average receivables
It is considered desirable to have a receivables turnover figure close to the industry
norm.
©20 15 Kaplan, Inc.
Page 79
Study Session 11
Cross-Reference to CFA Institute Assigned Reading #39 - Working Capital ManagementyxwvutsrponmlkihgfedcbaWTPNIFA
Professor's Note: This formula for the receivables turnover ratio uses credit sales
in the numerator, rather than total sales as shown in the earlier topic review on
ratio analysis. While an analyst within a company will know what proportion
of sales are credit or cash sales, an external analyst will likely not have this
information but may be able to estimate it based on standard industry practice.
In most cases when a ratio compares a balance sheet account (such as receivables)
with an income or cashflow item (such as sales), the balance sheet item will be
the average of the account instead of simply the end-of year balance. Averages are
calculated by adding the beginning-of year account value and the end-of year
account value, then dividing the sum by two.
•
The inverse of the receivables turnover multiplied by 365 si the number of days of
receivables (also called average days'sales outstanding), which is the average number of
days it takes for the company's customers to pay their bills:
number of days of receivables =
sA
365
receivables turnover
average receivables
average day's credit sales
It is considered desirable to have a collection period (and receivables turnover) close
to the industry norm. The firm's credit terms are another important benchmark
used to interpret this ratio. A collection period that is too high might mean that
customers are too slow in paying their bills, which means too much capital is tied
up in assets. A collection period that is too low might indicate that the firm's credit
policy is too rigorous, which might be hampering sales.
•
Ameasure of a firm's efficiency with respect to its processing and inventory
management is the inventory turnover:
.
cost of goods sold
Inventory turnover = --____;::;...---average Inventory
Professor's Note: Pay careful attention to the numerator in the turnover ratios.
For inventory turnover, be sure to use cost of goods sold, not sales.
•
The inverse of the inventory turnover multiplied by 365 is ht e average inventory
processing period or number of days of inventory:
365
number of days of inventory = -.------mventory turnover
•
average Inventory
average day's COGS
As is the case with accounts receivable, it is considered desirable to have an inventory
processing period (and inventory turnover) close to the industry norm. A processing
period that is too high might mean that too much capital is tied up in inventory and
could mean that the inventory is obsolete. A processing period that is too low might
indicate that the firm has inadequate stock on hand, which could hurt sales.
Page 80
©2015 Kaplan, Inc.
Study Session 11
Cross-Reference to CFA Institute Assigned Reading #39 - Working Capital Management
•
A measure of the use of trade credit by the firm is thepayables turnover ratio:
yvutsrponmlihgfedcbaVPFCA
.
purchases
payables turnover ratio = ---=-----average trade payables
•
The inverse of the payables turnover ratio multiplied by 365 is the payables payment
period or number of days of payables, which is the average amount of time it takes the
company to pay its bills:
number of days of payables =
365
average payables
.
payables turnover rano
average day's purchases
LOS 39.c: Evaluate working capital effectiveness of a company based on its
operating and cash conversion cycles and compare the company's effectiveness
with that of peer companies.
CFA ® Program Curriculum, Volume 4, page 149
•
The operating cycle, the average number of days that it takes to turn raw materials
into cash proceeds from sales, is:
operating cycle = days of inventory + days of receivables
•
The cash conversion cycle or net operating cycle is the length of time it takes to turn
the firm's cash investment in inventory back into cash, in the form of collections
from the sales of that inventory. The cash conversion cycle is computed from the
average receivables collection period, average inventory processing period, and the
payables payment period:
average days
cash conversion cycle =
of receivables
+
average days
of inventory
average days
of payables
High cash conversion cycles are considered undesirable. A conversion cycle that
is too high implies that the company has an excessive amount of investment in
working capital.
LOS 39.d: Describe how different types of cash flows affect a company's net
daily cash position.
CFA® Program Curriculum, Volume 4, page 150
Daily cash position refers to uninvested cash balances a firm has available to make
routine purchases and pay expenses as they come due. The purpose of managing a firm's
daily cash position is to have sufficient cash on hand (that is, make sure the firm's net
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Cross-Reference to CFA Institute Assigned Reading #39 - Working Capital Management
daily cash position never becomes negative) but to avoid keeping excess cash because of
the interest income foregone by not investing the cash.
Typical cash inflows for a firm include its cash from sales and collections of receivables;
cash received from subsidiaries; dividends, interest, and principal received from
investments in securities; tax refunds; and borrowing. Typical cash outflows include
payments to employees and vendors; cash transferred to subsidiaries; payments of
interest and principal on debt; investments in securities; taxes paid; and dividends paid.
To manage its cash position effectively, a firm should analyze its typical cash inflows and
outflows by category and prepare forecasts over short-term (daily or weekly balances
for the next several weeks), medium-term (monthly balances for the next year), and
long-term time horizons. A firm can use these forecasts to identify periods when its cash
balance may become low enough to require short-term borrowing, or high enough to
invest excess cash in short-term securities.
LOS 39.e: Calculate and interpret comparable yields on various securities,
compare portfolio returns against a standard benchmark, and evaluate a
company's short-term investment policy guidelines.
urpomligecaVPFCA
CFA® Program Curriculum, Volume 4, page 155
Short-term securities in which a firm can invest cash include:
•
•
•
•
•
•
•
•
•
u.S. Treasury bills.
Short-term federal agency securities.
Bank certificates of deposit.
Banker's acceptances.
Time deposits.
Repurchase agreements.
Commercial paper.
Money market mutual funds.
Adjustable-rate preferred stock.
Adjustable-rate preferred stock has a dividend rate that is reset quarterly to current
market yields and offers corporate holders a tax advantage because a percentage of
the dividends received are exempt from federal tax. The other securities listed are all
described in more detail in the topic reviews on fixed income securities.
We covered the yield calculations for short-term discount securities in the "Discounted
Cash Flow Applications" topic review in Quantitative Methods.
The percentage discount from face value is:
0/0 discount
Page 82
=
face value - price
face value
©2015 Kaplan, Inc.
Study Session 11
Cross-Reference to CFA Institute Assigned Reading #39 - Working Capital Management
The discount-basis yield (bank discount yield or BDy) is:
discount-basis yield ;:::
face value - price
360
;:::% discount x
360
xX
face value
days
days
The money market yield is:
360
days
= holding period yield X
360
days
where:
"days" ;:::days to maturity
"price" ;:::purchase price of the security
The bond equivalent yield measure for short-term discount securities is calculated as:
bond equivalent yield =
face value - price
365
prIce
days to maturity
.
= holding period yield
X
365
days
ywvutsrqonmlihfedcbaQPNMI
Professor'sNote: In Quantitative Methods, the bond equivalent yield was
defined differently as two times the effective semiannual yield.
Returns on the firm's short-term securities investments should be stated as bond
equivalent yields. The return on the portfolio should be expressed as a weighted average
of these yields.
Cash Management Investment Policy
Typically, the objective of cash management is to earn a market return without taking on
much risk, either liquidity risk or default risk. Firms invest cash that may be needed in
the short term in securities of relatively high credit quality and relatively short maturities
to minimize these risks.
It is advisable to have a written investment policy statement. An investment policy
statement typically begins with a statement of the purpose and objective of the
investment portfolio, some general guidelines about the strategy to be employed to
achieve those objectives, and the types of securities that will be used. The investment
policy statement will also include specific information on who is allowed to purchase
securities, who is responsible for complying with company guidelines, and what steps
will be taken if the investment guidelines are not followed. Finally, the investment
policy statement will include limitations on the specific types of securities permitted for
investment of short-term funds, limitations on the credit ratings of portfolio securities,
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Study Session 11
Cross-Reference to CFA Institute Assigned Reading #39 - Working Capital Management
and limitations on the proportions of the total short-term securities portfolio that can be
invested in the various types of permitted securities.
An investment policy statement should be evaluated on how well the policy can be
expected to satisfy the goals and purpose of short-term investments, generating yield
without taking on excessive credit or liquidity risk. The policy should not be overly
restrictive in the context of meeting the goals of safety and liquidity.
LOS 39.f: Evaluate a company's management of accounts receivable, inventory,
and accounts payable over time and compared to peer companies.
ywvutsrponmlihgedcaVPOMFDCA
CFA® Program Curriculum, Volume 4, page 161
The management of accounts receivable begins with calculating the average days of
receivables and comparing this ratio to the firm's historical performance or to the average
ratios for a group of comparable companies. More detail about the accounts receivable
performance can be gained by using an aging schedule such as that presented in
Figure 1.
Figure 1: Receivables Aging (thousands of dollars)
Days Outstanding
March
April
May
< 31 days
200
212
195
31-60 days
150
165
140
61-90 days
100
90
92
> 90 days
50
70
66
nA
In March, $200,000 of accounts receivable were current-that
is, had been outstanding
less than 31 days; $50,000 of the receivables at the end of March had been outstanding
for more than 90 days.
Presenting this data as percentages of total outstanding receivables can facilitate analysis
of how the aging schedule for receivables is changing over time. An example is presented
in Figure 2.
Figure 2: Receivables Aging (0/0 of totals)
Days Outstanding
March
April
May
< 31 days
40%
39%
40%
31-60 days
30%
31%
28%
61-90 days
20%
17%
19%
> 90 days
10%
13%
13%
Another useful metric for monitoring the accounts receivable performance is the
weighted average collection period, which indicates the average days outstanding per
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Study Session 11
Cross-Reference to CFA Institute Assigned Reading #39 - Working Capital Management
dollar of receivables. As illustrated in Figure 3, the weights are the percentage of total
receivables in each category, and these are multiplied by the average days to collect
accounts within each aging category.
Figure 3: Weighted Average Collection Period-March
yvutsronlihgedcaWODCA
Average Collection
Days
% Weight
< 31 days
22
40%
8.8
31-60 days
44
30%
13.2
61-90 days
74
20%
14.8
> 90 days
135
10%
13.5
Days Outstanding
Weighted Average Collection Period
Days
x
x
Weight
50.3 days
The information necessary to compare a firm's aging schedule and weighted average
collection period to other firms is not available. However, analysis of the historical trends
and significant changes in a firm's aging schedule and weighted average collection days
can give a clearer picture of what is driving changes in the simpler metric of average days
of receivables. The company must always evaluate the trade-off between stricter credit
terms (and borrower creditworthiness) and the ability to make sales. Terms that are too
strict will lead to less-than-optimal sales. Terms that are too lenient will increase sales at
the cost of longer average days of receivables, which must be funded at some cost, and
will increase bad accounts, directly affecting profitability.
Inventory Management
Inventory management involves a trade-off as well. Inventory levels that are too low will
result in lost sales due to stock-outs, while inventory that is too large will have carrying
costs because the firm's capital is tied up in inventory. Reducing inventory will free up
cash that can be invested in interest-bearing securities or used to reduce debt or equity
funding. Increasing average days' inventory or a decreasing inventory turnover ratio can
both indicate that inventory is too large. A large inventory can lead to greater losses
from obsolete items and can also indicate that obsolete items that no longer sell well are
included in inventory.
Comparing average days of inventory and inventory turnover ratios between industries,
or even between two firms that have different business strategies, can be misleading. The
grocery business typically has high inventory turnover, while an art gallery's inventory
turnover will typically be low. An auto parts firm that stocks hard-to-find parts for
antique cars will likely have a low inventory turnover (and charge premium prices)
compared to a chain auto parts store that does most of its business in standard items
like oil filters, brake parts, and antifreeze. In any business, inventory management is an
important component of effective overall financial management.
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Cross-Reference to CFA Institute Assigned Reading #39 - Working Capital Management
Accounts Payable Management
Just as a company must manage its receivables because they require working capital (and
therefore have a funding cost), payables must be managed well because they represent
a source of working capital to the firm. If the firm pays its payables prior to their due
dates, cash is used unnecessarily and interest on it is sacrificed. If a firm pays its payables
late, it can damage relationships with suppliers and lead to more restrictive credit terms
or even the requirement that purchases be made for cash. Late payment can also result in
interest charges that are high compared to other sources of short-term financing.
Typical terms on payables (trade credit) contain a discount available to those who pay
quickly as well as a due date. Terms of "2/1 0 net 60" mean that if the invoice is paid
within ten days, the company gets a 20/0 discount on the invoiced amount and that if the
company does not take advantage of the discount, the net amount is due 60 days from
the date of the invoice.
The cost to the company of not taking the discount for early payment can be evaluated
as an annualized rate:
365
1+ % discount
days past discount -1
cost of trade credit =
1- % discount
where:
days past discount
=
number of days after the end of the discount period
zywvutsrponmlkihgfedcaYTQPNM
Professor's Note: You should recognize this from Quantitative Methods as the
formula for converting a short-term rate to an effective annual rate. The term
[% discount / (1 - % discount)) is the holding period return to the firm of taking
advantage of a discount, in the same way that the holding period return on a pure
discount security is [discount / (face - discount)).
Trade credit can be a source of liquidity for a company. However, when the cost of trade
credit is greater than the company's cost of short-term liquidity from other sources,
the company is better off paying the invoice within (ideally at the end of) the discount
period.
Example: Cost of trade credit
Calculate and interpret the annualized cost of trade credit for invoice terms of 2/1 0
net 60, when the invoice is paid on the 40th, 50th, or 60th day.
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©2015 Kaplan, Inc.
Study Session 11
Cross-Reference to CFA Institute Assigned Reading #39 - Working Capital Management
Answer:
The discount is 20/0.The annualized cost of not taking the discount can be calculated
when the invoice is paid on:
365
/
0.02 '140-10
Day 40: 1+---1=27.90/0
1-0.02
365
/
0.02 '150-10
Day 50: 1+---1 = 20.20/0
'- 1-0.02.1
365
/
0.02 '160-10
Day 60: 1+ ---1 = 15.90/0
1-0.02
nA
urpomligecaVPFCA
The annualized cost of trade credit decreases as the payment period increases. If the
company does not take the 20/0discount within the first ten days, it should wait until
the due date (day 60) to pay the invoice.
Our primary quantitative measure of payables management is average days of payables
outstanding, which can also be calculated as:
number of days of payables =
accounts payable
average day's purchases
where:
average day's purchases
=
annual purchases
365
A company with a short payables period (high payables turnover) may simply be taking
advantage of discounts for paying early because it has good low-cost funds available
to finance its working capital needs. A company with a long payables period may be
such an important buyer that it can effectively utilize accounts payable as a source of
short-term funding with relatively little cost (because suppliers will put up with it).
Monitoring the changes in days' payables outstanding over time for a single firm will,
however, aid the analyst. An extension of days' payables may serve as an early warning of
deteriorating short-term liquidity.
LOS 39.g: Evaluate the choices of short-term
and recommend
a financing
funding
available to a company
method.
CFA® Program Curriculum, Volume 4, page 175
There are several sources of short-term funding available to a company, from both bank
and non-bank sources. We list the most important of these here.
©20 15 Kaplan, Inc.
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Cross-Reference to CFA Institute Assigned Reading #39 - Working Capital Management
Sources of Short-Term Funding From Banks
Lines of credit are used primarily by large, financially sound companies.
•
•
•
vutsrponmlkigfedcbaURC
Uncommitted line of credit.A bank extends an offer of credit for a certain amount
but may refuse to lend if circumstances change.
Committed (regular) line of credit. A bank extends an offer of credit that it "commits
to" for some period of time. The fact that the bank has committed to extend credit
in amounts up to the credit line makes this a more reliable source of short-term
funding than an uncommitted line of credit. Banks charge a fee for making such
a commitment. Loans under the agreement are typically for periods of less than a
year, and interest charges are stated in terms of a short-term reference rate, such as
LIBOR or the u.s. prime rate, plus a margin to compensate for the credit risk of
the loan. Outside the United States, similar arrangements are referred to as overdraft
lines of credit.
Revolving line of credit. An even more reliable source of short-term financing than
a committed line of credit, revolving lines of credit are typically for longer terms,
sometimes as long as years. Along with committed lines of credit, revolving credit
lines can be verified and can be listed on a firm's financial statements in the footnotes
as a source of liquidity.
nA
Companies with weaker credit may have to pledge assets as collateral for bank
borrowings. Fixed assets, inventory, and accounts receivable may all serve as collateral
for loans. Short-term financing is typically collateralized by receivables or inventory
and longer-term loans are secured with a claim to fixed (longer-term) assets. The bank
may also have a blanket lien which gives it a claim to all current and future firm assets as
collateral in case the primary collateral is insufficient and the borrowing firm defaults.
When a firm assigns its receivables to the bank making a loan, the company still services
the receivables and remains responsible for any receivables that are not paid.
Banker's acceptances are used by firms that export goods. A banker's acceptance is a
guarantee from the bank of the firm that has ordered the goods stating that a payment
will be made upon receipt of the goods. The exporting company can then sell this
acceptance at a discount in order to generate immediate funds.
Factoring refers to the actual sale of receivables at a discount from their face values.
The size of the discount will depend on how long it is until the receivables are due, the
creditworthiness of the firm's credit customers, and the firm's collection history on its
receivables. The "factor" (the buyer of the receivables) takes on the responsibility for
collecting receivables and the credit risk of the receivables portfolio.
Non-Bank Sources of Short-Term Funding
Smaller firms and firms with poor credit may use nonbank finance companies for shortterm funding. The cost of such funding is higher than other sources and is used by firms
for which normal bank sources of short-term funding are not available.
Large, creditworthy companies can issue short-term debt securities called commercial
paper. Whether the firm sells the paper directly to investors (direct placement) or sells it
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©2015 Kaplan, Inc.
Study Session 11
Cross-Reference to CFA Institute Assigned Reading #39 - Working Capital Management
through dealers (dealer-placed paper), the interest costs are typically slightly less than the
rate they could get from a bank.
In managing its short-term financing, a firm should focus on the objectives of having
sufficient sources of funding for current, as well as future foreseeable, cash needs
and should seek the most cost-effective rates available given its needs, assets, and
creditworthiness. The firm should have the ability to prepay short-term borrowings
when cash flow permits and have the flexibility to structure its short-term financing
so that the debt matures without peaks and can be matched to expected cash flows.
For large borrowers, it is important that the firm has alternative sources of short-term
funding and even alternative lenders for a particular type of financing. It is often worth
having slightly higher overall short-term funding costs in order to have flexibility and
redundant sources of financing.
©20 15 Kaplan, Inc.
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Study Session 11
Cross-Reference to CFA Institute Assigned Reading #39 - Working Capital Management
LOS 39.a
Primary sources of liquidity are the sources of cash a company uses in its normal
operations. If its primary sources are inadequate, a company can use secondary sources
of liquidity such as asset sales, debt renegotiation, and bankruptcy reorganization.
A company's liquidity position depends on the effectiveness of its cash flow management
and is influenced by drags on its cash inflows (e.g., uncollected receivables, obsolete
inventory) and pulls on its cash outflows (e.g., early payments to vendors, reductions in
credi t limits).
LOS 39.h
Measures of a company's short-term liquidity include:
•
Current ratio » current assets / current liabilities.
•
Quick ratio « (cash + marketable securities + receivables) / current liabilities.
Measures of how well a company is managing its working capital include:
•
Receivables turnover « credit sales / average receivables.
•
Number of days of receivables » 365 / receivables turnover.
•
Inventory turnover » cost of goods sold / average inventory.
•
Number of days of inventory » 365 / inventory turnover.
•
Payables turnover » purchases / average trade payables.
•
Number of days of payables ;:::365 / payables turnover.
LOS 39.c
The operating cycle and the cash conversion cycle are summary measures of the
effectiveness of a company's working capital management.
•
Operating cycle ;:::days of inventory + days of receivables.
•
Cash conversion cycle« days of inventory + days of receivables - days of payables.
Operating and cash conversion cycles that are high relative to a company's peers suggest
the company has too much cash tied up in working capital.
LOS 39.d
To manage its net daily cash position, a firm needs to forecast its cash inflows and
outflows and identify periods when its cash balance may be lower than needed or higher
than desired. Cash inflows include operating receipts, cash from subsidiaries, cash
received from securities investments, tax refunds, and borrowing. Cash outflows include
purchases, payroll, cash transfers to subsidiaries, interest and principal paid on debt,
investments in securities, taxes paid, and dividends paid.
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Cross-Reference to CFA Institute Assigned Reading #39 - Working Capital Management
LOS 39.e
Commonly used annualized yields for short-term pure discount securities are based on
the days to maturity (days) of the securities and include:
•
Discount-basis yields « % discount from face value x (360/days).
•
Money market yields « HPY x (360/days).
•
Bond-equivalent yields « HPY x (365/days).
The overall objective of short-term cash management is to earn a reasonable return while
taking on only very limited credit and liquidity risk. Returns on the firm's short-term
securities investments should be stated as bond equivalent yields. The return on the
portfolio should be expressed as a weighted average of these yields.
An investment policy statement should include the objectives of the cash management
program, details of who is authorized to purchase securities, authorization for the
purchase of specific types of securities, limitations on portfolio proportions of each type,
and procedures in the event that guidelines are violated.
LOS 39.f
A firm's inventory, receivables, and payables management can be evaluated by comparing
days of inventory, days of receivables, and days of payables for the firm over time and by
comparing them to industry averages or averages for a group of peer companies.
A receivables aging schedule and a schedule of weighted average days of receivables can
each provide additional detail for evaluating receivables management.
LOS 39.g
There are many choices for short-term borrowing. The firm should keep costs down
while also allowing for future flexibility and alternative sources.
The choice of short-term funding sources depends on a firm's size and creditworthiness.
Sources available, in order of decreasing firm creditworthiness and increasing cost,
include:
•
Commercial paper.
•
Bank lines of credit.
•
Collateralized borrowing.
•
Nonbank financing.
•
Factoring.
©20 15 Kaplan, Inc.
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Study Session 11
Cross-Reference to CFA Institute Assigned Reading #39 - Working Capital Management
1.
Firm A and Firm B have the same quick ratio, but Firm A has a greater current
ratio than Firm B. Compared to Firm B, it is most likely that Firm A has:
A. greater inventory.
B. greater payables.
C. a higher receivables turnover ratio.
yutsromlkieca
2.
An increase in Rowley Corp's cash conversion cycle and a decrease in Rowley's
operating cycle could result from:
Cash conversion cycle T
Operating cycle 1
A. Decreased receivables turnover
Increased payables turnover
B. Decreased receivables turnover
Decrease in days of inventory
C. Increased inventory turnover
Increased payables turnover
T
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3.
An
A.
B.
C.
4.
Which of the following statements most accurately describes a key aspect of
managing a firm's net daily cash position?
A. Analyze cash inflows and outflows to forecast future needs for cash.
B. Maximize the firm's cash inflows and minimize its cash outflows.
C. Minimize uninvested cash balances because they earn a return of zero.
5.
Boyle, Inc., just purchased a banker's acceptance for $25,400. It will mature in
80 days for $26,500. The discount-basis yield and the bond equivalent yield for
this security are closest to:
Discount-basis
Bond equivalent
A. 18.70/0
18.70/0
19.8%
B. 18.70/0
C. 4.20/0
19.80/0
6.
Chapmin Corp. is a large domestic services firm with a good credit rating. The
source of short-term financing it would most likely use is:
A. factoring of receivables.
B. issuing commercial paper.
C. issuing bankers' acceptances.
example of
liquidating
negotiating
short-term
a primary source of liquidity is:
assets.
debt contracts.
investment portfolios.
©2015 Kaplan, Inc.
Study Session 11
Cross-Reference to CFA Institute Assigned Reading #39 - Working Capital Management
1.
A
Inventory is in the numerator of the current ratio but not in the quick ratio. Greater
inventory for Firm A is consistent with a greater current ratio for Firm A.
2.
B
A decrease in receivables turnover would increase days of receivables and increase the
cash conversion cycle. A decrease in days of inventory would decrease the operating
cycle.
3.
C
Primary sources of liquidity include ready cash balances, short-term funds
(e.g., short-term investment portfolios), and cash flow management. Secondary
sources of liquidity include negotiating debt contracts, liquidating assets, and filing for
bankruptcy protection and reorganization.
4.
A
The goal of managing the net daily cash position is to ensure that adequate cash is
available to prevent the firm from having to arrange financing on short notice (and thus
at high cost), while earning a return on cash balances when they are temporarily high
by investing in short-term securities. A firm can meet this goal by forecasting its cash
inflows and outflows to identify periods when its cash balance is expected to be lower or
higher than needed. "Minimizing uninvested cash balances" is inaccurate because a firm
should maintain some target amount of available cash.
5.
B
The actual discount on the acceptance is (26,500 - 25,400) /26,500 = 4.1510/0. The
annualized discount, or discount-basis yield, is 4.151 (360/80) = 18.680/0.
The holding period yield is (26,500 - 25,400) / 25,400
yield is 4.331(365/80) = 19.76%.
6.
B
=
4.3310/0. The bond equivalent
Large firms with good credit have access to the commercial paper market and can
get lower financing costs with commercial paper than they can with bank borrowing.
Bankers' acceptances are used by companies involved in international trade. Factoring of
receivables is a higher-cost source of funds and is used more by smaller firms that do not
have particularly strong credit.
©20 15 Kaplan, Inc.
Page 93
The following is a review of the Corporate Finance principles designed to address the learning outcome
statements set forth by CFA Institute. Cross-Reference to CFA Institute Assigned Reading #40.VUTSRPONMLIHGFEDCA
THE CORPORATE GOVERNANCE OF
LISTED COMPANIES:
A
A
MANUAL FOR
INVESTORS
Study Session 11XMEA
EXAM Focus
Due to the collapses of some major corporations and associated investor losses, corporate
governance has become a hot topic in the investment community. The prominence of
the issue has likely been a factor in the decision to include this topic in the curriculum.
Corporate governance encompasses the internal controls that outline how a firm is
managed. The material here is not particularly challenging, but given all the lists of
"things to consider" in the CFA curriculum concerning corporate governance, we have
not covered them all here. You need to understand the specific issues that are covered
under the heading of "corporate governance" and which practices are considered good.
You should know the characteristics of an independent and effective board of directors.
Much of the rest of the material has to do with shareholder interests and whether a firm's
actions and procedures promote the interests of shareholders.
LOS 40.a: Define corporate governance.
urpomligecaVPFCA
CFA® Program Curriculum, Volume 4, page 192
Corporate governance is the set of internal controls, processes, and procedures by
which firms are managed. It defines the appropriate rights, roles, and responsibilities of
management, the board of directors, and shareholders within an organization. It is the
firm's checks and balances. Good corporate governance practices seek to ensure that:
•
•
•
•
•
•
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The board of directors protects shareholder interests.
The firm acts lawfully and ethically in dealings with shareholders.
The rights of shareholders are protected and shareholders have a voice in governance.
The board acts independently from management.
Proper procedures and controls cover management's day-to-day operations.
The firm's financial, operating, and governance activities are reported to shareholders
in a fair, accurate, and timely manner.
©20 15 Kaplan, Inc.
Study Session 11
Cross- Reference to CFA Institute Assigned Reading #40 - The Corporate Governance of Listed Companies: A Manual for Investors
LOS 40.b: Describe practices related to board and committee independence,
experience, compensation, external consultants, and frequency of elections and
determine whether they are supportive of shareowner protection.
urpomligecaVPFCA
CFA® Program Curriculum, Volume 4, page 198
The duty of the board is to act in the shareholders' long-term interests. An effective
board needs to have the independence, experience, and resources necessary to perform
this duty. To properly protect their long-term interests as shareholders, investors should
consider whether the following statements hold true:
nA
•
•
•
•
•
A majority of the board of directors is comprised of independent members (not
management) .
The board meets regularly outside the presence of management.
The chairman of the board is also the CEO or a former CEO of the firm. This
may impair the ability and willingness of independent board members to express
opinions contrary to those of management.
Independent board members have a primary or leading board member in cases where
the chairman is not independent.
Board members are closely aligned with a firm supplier, customer, share-option plan,
or pension adviser. Can board members recuse themselves on any potential areas of
conflict?
An independent board is less likely to make decisions that unfairly or improperly benefit
management and those who have influence over management.
There is often a need for specific, specialized, independent advice on various firm issues
and risks, including compensation; mergers and acquisitions; legal, regulatory, and
financial matters; and issues relating to the firm's reputation. A truly independent board
will have the ability to hire external consultants without management approval. This
enables the board to receive specialized advice on technical issues and provides the board
with independent advice that is not influenced by management interests.
Frequency of Board Elections
Anything that prevents shareholders from being able to approve or reject board members
annually limits shareowners' abilities to change the board's composition if board
members fail to represent shareowners' interests fairly.
While reviewing firm policy regarding election of the board, investors should consider:
•
•
•
•
Whether there are annual elections or staggered multiple-year terms (a classified
board). A classified board may serve another purpose-to
act as a takeover defense.
Whether the board filled a vacant position for a remaining et rm without shareholder
approval.
Whether shareholders can remove a board member.
Whether the board is the proper size for the specific facts and circumstances of the
firm.
©20 15 Kaplan, Inc.
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Study Session 11
Cross- Reference to CFA Institute Assigned Reading #40 - The Corporate Governance of Listed Companies: A Manual for Investors
LOS 40.c: Describe board independence and explain the importance of
independent board members in corporate governance.
urpomligecaVPFCA
CFA ® Program Curriculum, Volume 4, page 198
A board can be considered independent if its decisions are not controlled or biased by
the management of the firm. Although the definition of independence may vary across
firms, typically to be considered independent, a board member must not have any
material business or other relationship with:
•
•
•
•
•
The firm and its subsidiaries, including former employees, executives, and their
families.
Individuals or groups, such as a shareholder(s) with a controlling interest, which can
influence the firm's management.
Executive management and their families.
The firm's advisers, auditors, and their families.
Any entity which has a cross directorship with the firm.
An independent board member must work to protect shareholders' long-term interests.
Board members need to have not only independence, but experience and resources. The
board of directors must have autonomy to operate independently from management.
If board members are not independent, they may be more likely to make decisions that
benefit either management or those who have influence over management, thus harming
shareholders' long-term interests.
To make sure board members act independently, the firm should have policies in
place to discourage board members from receiving consulting fees for work done
on the firm's behalf or receiving finders' fees for bringing mergers, acquisitions, and
sales to management's attention. Further, procedures should limit board members'
and associates' ability to receive compensation beyond the scope of their board
responsibilities.
The firm should disclose all material related-party transactions or commercial
relationships it has with board members or nominees. The same goes for any property
that is leased, loaned, or otherwise provided to the firm by board members or executive
officers. Receiving personal benefits from the firm can create conflicts of interest.
LOS 40.d: Identify factors that an analyst should consider when evaluating the
qualifications of board members.
CFA ® Program Curriculum, Volume 4, page 200
Board members without the requisite skills and experience are more likely to defer to
management when making decisions. This can be a threat to shareholder interests.
When evaluating the qualifications of board members, consider whether board members:
•
•
Page 96
Can make informed decisions about the firm's future.
Can act with care and competence as a result of their experience with:
•
Technologies, products, and services which the firm offers.
©20 15 Kaplan, Inc.
Study Session 11
Cross- Reference to CFA Institute Assigned Reading #40 - The Corporate Governance of Listed Companies: A Manual for Investors
•
•
•
•
•
•
•
•
Financial operations and accounting and auditing topics.
•
Legal issues.
•
Strategies and planning.
•
Business risks the firm faces.
Have made any public statements indicating their ethical stances.
Have had any legal or regulatory problems as a result of working for or serving on
the firm's board or the board of another firm.
Have other board experience.
Regularly attend meetings.
Are committed to shareholders. Do they have significant stock positions? Have they
eliminated any conflicts of interest?
Have necessary experience and qualifications.
Have served on the board for more than ten years. While this adds experience, these
board members may be too closely allied with management.
Investors should also consider how many board and committee meetings are held, and
the attendance record of the meetings; whether the board and its committees conduct
self-assessments; and whether the board provides adequate training for its members.
LOS 40.e: Describe responsibilities of the audit, compensation, and
nominations committees and identify factors an investor should consider when
evaluating the quality of each committee.
urpomligecaVPCA
CPA ® Program Curriculum, Volume 4, page 204
Board committees are responsible for examining specific issues and reporting to the
board, which is responsible for making final decisions.
Audit Committee
This committee ensures that the financial information provided to shareholders is
complete, accurate, reliable, relevant, and timely. Investors must determine whether:
•
•
•
•
•
•
•
•
•
Proper accounting and auditing procedures have been followed.
The external auditor is free from management influence.
Any conflicts between the external auditor and the firm areresolved in a manner
that favors the shareholder.
Independent auditors have authority over the audit of all ht e company's affiliates and
divisions.
All board members serving on the audit committee are independent.
Committee members are financial experts.
The shareholders vote on the approval of the board's selection of the external
auditor.
The audit committee has authority to approve or reject any proposed non-audit
engagements with the external audit firm.
The firm has provisions and procedures that specify to whom the internal auditor
reports. Internal auditors must have no restrictions on their contact with the audit
•
committee.
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Study Session 11
Cross- Reference to CFA Institute Assigned Reading #40 - The Corporate Governance of Listed Companies: A Manual for Investors
•
•
There have been any discussions between the audit committee and the external
auditor resulting in a change in financial reports due to questionable interpretation
of accounting rules, fraud, and the like.
The audit committee controls the audit budget.
Remuneration/Compensation
Committee
Investors should be sure a committee of independent board members sets executive
compensation, commensurate with responsibilities and performance. The committee
can further these goals by making sure all committee members are independent and by
linking compensation to long-term firm performance and profitability.
Investors, when analyzing this committee, should determine whether:
•
•
•
•
•
•
•
•
•
Executive compensation is appropriate.
The firm has provided loans or the use of company property toboard members.
Committee members attend regularly.
Policies and procedures for this committee are in place.
The firm has provided details to shareholders regarding compensation in public
documents.
Terms and conditions of options granted are reasonable.
Any obligations regarding share-based compensation are met through issuance of
new shares.
The firm and the board are required to receive shareholder approval for any sharebased remuneration plans, because these plans can create potential dilution issues.
Senior executives from other firms have cross-directorship links with the firm or
committee members. Watch for situations where individuals may benefit directly
from reciprocal decisions on board compensation.
Nominations Committee
The nominations committee handles recruiting of new (independent) board members. It
is responsible for:
•
•
•
•
Recruiting qualified board members.
Regularly reviewing performance, independence, skills,and experience of existing
board members.
Creating nomination procedures and policies.
Preparing an executive management succession plan.
Candidates proposed by this committee will affect whether or not the board works for
the benefit of shareholders. Performance assessment of board members should be fair
and appropriate. Investors should review company reports over several years to see if this
committee has properly recruited board members who have fairly protected shareholder
interests. Investors should also review:
•
•
•
Page 98
Criteria for selecting new board members.
Composition, background, and expertise of present board members. How do
proposed new members complement the existing board?
The process for finding new members (i.e., input from outside the firm versus
management suggestions).
©2015 Kaplan, Inc.
Study Session 11
Cross- Reference to CFA Institute Assigned Reading #40 - The Corporate Governance of Listed Companies: A Manual for Investors
•
•
•
Attendance records.
Succession plans for executive management (if such plans exist).
The committee's report, including any actions, decisions, and discussion.
Other Board Committees
Additional committees can provide more insight into goals and strategies of the firm.
These committees are more likely to fall outside typical corporate governance codes, so
they are more likely to be comprised of members of executive management. Be wary of
this-independence
is once again critical to maintain shareowners' best interests.
LOS 40.£: Describe provisions that should be included in a strong corporate
code of ethics.
urpomligecaVPFCA
CFA® Program Curriculum, Volume 4, page 212
A code of ethics for a firm sets the standard for basic principles of integrity, trust, and
honesty. It gives the staff behavioral standards and addresses conflicts of interest. Ethical
breaches can lead to big problems for firms, resulting in sanctions, fines, management
turnover, and unwanted negative publicity. Having an ethical code can be a mitigating
factor with regulators if a breach occurs.
With respect to board members and persons related to board members, it is important
to discourage consultancy contracts, finder's fees for identifying merger or acquisition
targets, and other compensation from the company as this can compromise the
independence of board members from management. With respect to other corporate
personnel and their friends and relations, it is important to discourage related-party
transactions as well so that shareholders can be confident that company transactions
are to their benefit rather than to the benefit of company insiders. The same holds true
for personal use of company assets by board members as well as company management
and their families. Personal use of company assets should be discouraged to preserve
and promote board member independence and to ensure that company assets are used
exclusively to generate value for the company and its shareholders.
In the United States and many other countries, investors can get information about
either of these practices in the annual report (under related-party transactions), the
annual corporate governance report, or in proxy statements. In the case of newly
public companies, the prospectus will disclose any stock sales to insiders and related
persons that have been recently made at prices less than the offering price, because such
transactions will tend to dilute shareholder interests.
When analyzing ethics codes, these are items to consider:
•
•
Make sure the board of directors receives relevant corporate information in a timely
manner.
Ethics codes should be in compliance with the corporate governance laws of the
location country and with the governance requirements set forth by the local stock
exchange. Firms should disclose whether they adhered to their own ethical code,
including any reasons for failure.
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•
•
•
•
•
The ethical code should prohibit advantages to the firm's ni siders that are not offered
to shareowners.
A person should be designated to be responsible for corporate governance.
If selected management personnel receive waivers from theethics code, reasons
should be given.
If any provisions of the ethics code were waived recently, ht e firm should explain
why.
The firm's ethics code should be audited and improved periodically.
In evaluating management, investors should:
•
•
•
•
Verify that the firm has committed to an ethical framework and adopted a code of
ethics.
See if the firm permits board members or management to use firm assets for personal
reasons.
Analyze executive compensation to assess whether it is commensurate with
responsibilities and performance.
Look into the size, purpose, means of financing, and duration of any sharerepurchase programs.
LOS 40.g: Evaluate, from a shareowner's perspective, company policies related
to voting rules, shareowner sponsored proposals, common stock classes, and
takeover defenses.
urpomligecaVPFCA
CFA® Program Curriculum, Volume 4, page 219
The ability to vote proxies is a fundamental shareholder right. If the firm makes it
difficult to vote proxies, it limits the ability of shareholders to express their views and
affect the firm's future direction.
Investors should consider whether the firm:
•
•
•
•
Limits the ability to vote shares by requiring attendance at the annual meeting.
Groups its meetings to be held the same day as other companies in the same region
and also requires attendance to cast votes.
Allows proxy voting by some remote mechanism.
Is allowed under its governance code to use share blocking, a mechanism that
prevents investors who wish to vote their shares from trading their shares during a
period prior to the annual meeting.
Confidential Voting
Investors should determine if shareholders are able to cast confidential votes. This can
encourage unbiased voting. In looking at this issue, investors should consider whether:
•
•
•
•
Page 100
The firm uses a third party to tabulate votes.
The third party or the firm retains voting records.
The tabulation is subject to audit.
Shareholders are entitled to vote only if present.
©20 15 Kaplan, Inc.
Study Session 11
Cross- Reference to CFA Institute Assigned Reading #40 - The Corporate Governance of Listed Companies: A Manual for Investors
Cumulative Voting
Shareholders may be able to cast the cumulative number of votes allotted to their shares
for one or a limited number of board nominees. Cumulative voting is generally viewed
as favorable for shareholders. However, investors should be cautious in the event the firm
has a considerable minority shareholder group, such as a founding family, that can serve
its own interests through cumulative voting.
Information on possible cumulative voting rights will be contained in the articles of
organization and bylaws, the prospectus, or Form 8-A, which must be filed with the
Securities and Exchange Commission in the United States.
Voting for Other Corporate Changes
Changes to corporate structure or policies can change the relationship between
shareholders and the firm. Watch for changes to:
•
•
•
•
•
•
Articles of organization.
Bylaws.
Governance structures.
Voting rights and procedures.
Poison pill provisions (these are impediments to an acquisition of the firm).
Provisions for change-in-control.
Regarding issues requiring shareholder approval, consider whether shareholders:
•
•
•
•
•
•
•
Must approve corporate change proposals with supermajority votes.
Will be able to vote on the sale of the firm, or part of it, to a ht ird-party buyer.
Will be able to vote on major executive compensation issues.
Will be able to approve any anti-takeover measures.
Will be able to periodically reconsider and re-vote on rules that require
supermajority voting to revise any governance documents.
Have the ability to vote for changes in articles of organization, bylaws, governance
structures, and voting rights and procedures.
Have the ability to use their relatively small ownership interest to force a vote on a
special interest issue.
Investors should also be able to review issues such as:
•
•
•
Share buy-back programs that may be used to fund share-based compensation
grants.
Amendments or other changes to a firm's charter and bylaws.
Issuance of new capital stock.
Shareowner-Sponsored
Board Nominations
Investors need to determine whether the firm's shareholders have the power to put forth
an independent board nominee. Having such flexibility is positive for investors as it
allows them to address their concerns and protect their interests through direct board
representation. Additional items to consider:
•
Under what circumstances can a shareholder nominate a board member?
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Cross- Reference to CFA Institute Assigned Reading #40 - The Corporate Governance of Listed Companies: A Manual for Investors
•
•
Can shareowners vote to remove a board member?
How does the firm handle contested board elections?
The proxy statement is a good source document for information about these issues in
the United States. In many jurisdictions, articles of organization and corporate bylaws
are other good sources of information on shareholder rights.
Shareowner-Sponsored
Resolutions
The right to propose initiatives for consideration at the annual meeting is an important
shareholder method to send a message to management.
Investors should look at whether:
•
•
•
The firm requires a simple majority or a supermajority vote to pass a resolution.
Shareholders can hold a special meeting to vote on a specialinitiative.
Shareholder-proposed initiatives will benefit all shareholders rather than just a small
group.
Advisory or Binding Shareowner Proposals
Investors should find out if the board and management are required to actually
implement any shareholder-approved proposals. Investors should determine whether:
•
•
•
The firm has implemented or ignored such proposals in the past.
The firm requires a supermajority of votes to approve changes to its bylaws and
articles of organization.
Any regulatory agencies have pressured firms to act on the et rms of any approved
shareholder initiatives.
Different Classes of Common Equity
Different classes of common equity within a firm may separate the voting rights of those
shares from their economic value.
Firms with dual classes of common equity could encourage prospective acquirers to only
deal directly with shareholders holding the supermajority rights. Firms that separate
voting rights from economic rights have historically had more trouble raising equity
capital for fixed investment and product development than firms that combine those
rights.
When looking at a firm's ownership structure, examine whether:
•
•
Page 102
Safeguards in the bylaws and articles of organization protect shareholders who have
inferior voting rights.
The firm was recently privatized by a government entity and the selling entity
retained voting rights. This may prevent shareholders from receiving full value for
their shares.
©2015 Kaplan, Inc.
Study Session 11
Cross- Reference to CFA Institute Assigned Reading #40 - The Corporate Governance of Listed Companies: A Manual for Investors
•
Any super-voting rights kept by certain classes of shareholders impair the firm's
ability to raise equity capital. If a firm has to turn to debt financing, the increase in
leverage can harm the firm.
Information on these issues can be found in the proxy, Web site, prospectus, or notes to
the financial statements.
Shareowner Legal Rights
Examine whether the investor has the legal right under the corporate governance code
and other legal statutes of the jurisdiction in which the firm is headquartered to seek
legal redress or regulatory action to enforce and protect shareholder rights.
Investors should determine whether:
•
•
•
•
Legal statutes allow shareholders to take legal actions toenforce ownership rights.
The local market regulator, in similar situations, has taken action to enforce
shareholder rights.
Shareholders are allowed to take legal or regulatory action against the firm's
management or board in the case of fraud.
Shareholders have "dissenters' rights," which require the firm to repurchase their
shares at fair market value in the event of a problem.
Takeover Defenses
Takeover defenses are provisions that are designed to make a company less attractive to
a hostile bidder. Examples of takeover defenses include golden parachutes (rich severance
packages for top managers who lose their jobs as a result of a takeover), poison pills
(provisions that grant rights to existing shareholders in the event a certain percentage
of a company's shares are acquired), and greenmail (use of corporate funds to buy back
the shares of a hostile acquirer at a premium to their market value). All of these defenses
may be used to counter a hostile bid, and their probable effect is to decrease share value.
When reviewing the firm's takeover defenses, investors should:
•
•
•
•
Ask whether the firm requires shareholder approval to implement such takeover
measures.
Ask whether the firm has received any acquisition interest in the past.
Consider that the firm may use its cash to "payoff" a hostile bidder. Shareholders
should take steps to discourage this activity.
Consider whether any change of control issues would invoke the interest of a
national or local government and, as a result, pressure the seller to change the terms
of the acquisition or merger.
©20 15 Kaplan, Inc.
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Study Session 11
Cross- Reference to CFA Institute Assigned Reading #40 - The Corporate Governance of Listed Companies: A Manual for Investors
LOS 40.a
Corporate governance is the set of internal controls, processes, and procedures by
which firms are managed. Good corporate governance practices ensure that the board of
directors is independent of management and that the firm and its managers act lawfully,
ethically, and in the interests of shareholders.
LOS 40.b
A majority of board and committee members should be independent (not management),
and the board should meet regularly without management present.
Board members should have the experience and knowledge necessary to advise
management and review its activities.
The board should have the resources it needs to act independently, including the ability
to hire outside consultants without approval from management.
LOS 40.c
A board can be considered independent if its decisions are not controlled or biased by
the management of the firm.
An independent board member must work to protect the long-term interests of
shareholders.
LOS 40.d
Board members should have the skills and experience required to make informed
decisions about the firm's future.
A qualified board member should have experience with:
•
The products or services the firm produces.
•
Financial operations, accounting, and auditing.
•
Legal issues.
•
Strategies and planning.
•
The firm's business and financial risks.
Members who serve on the board for a long time (more than ten years) may become too
closely aligned with management to be considered independent.
Page 104
©2015 Kaplan, Inc.
Study Session 11
Cross- Reference to CFA Institute Assigned Reading #40 - The Corporate Governance of Listed Companies: A Manual for Investors
LOS 40.e
The audit committee is responsible for providing financial information to shareholders.
The audit committee should:
•
Follow proper accounting and auditing procedures.
•
Appoint an external auditor that is free from management influence.
•
Resolve conflicts between the auditor and management in a way that favors
shareholders.
•
Approve or reject any non-audit engagements with the external auditor.
•
Have no restrictions on its communications with the firm'sinternal auditors.
•
Control the audit budget.
The compensation (remuneration) committee sets the compensation for the firm's
executives. The compensation committee should:
•
Determine whether executives' compensation is appropriate and linked to the firm's
long-term profitability.
•
Provide shareholders with details about executive compensation in public
documents.
•
Require the firm and the board to seek shareholder approval for any share-based
compensation plans.
The nominations committee is responsible for recruiting new, qualified, independent
board members. The nominations committee should:
•
Review the performance, independence, and skills of existing board members.
•
Create nomination procedures and policies.
•
Prepare a succession plan for senior management.
LOS 40.f
A firm's code of ethics sets the standard for basic principles of integrity, trust, and
honesty. Having a code of ethics can be a mitigating factor with regulators if a breach
occurs.
A strong code of ethics should:
•
Comply with corporate governance standards of the company's home country and
stock exchange.
•
Prohibit the company from giving advantages to company insiders that are not
available to shareholders.
•
Discourage payments to board members of consultancy fees or finder's fees for
• • •
acquIsItIon targets.
•
Designate a person responsible for corporate governance.
A company with a weak code of ethics may allow practices such as transactions with
parties related to management or personal use of company assets by management or
board members. Such practices benefit company insiders rather than shareholders.
©20 15 Kaplan, Inc.
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Study Session 11
Cross- Reference to CFA Institute Assigned Reading #40 - The Corporate Governance of Listed Companies: A Manual for Investors
LOS 40.g
Consider whether company policies make it difficult to vote proxies and whether a
significant minority shareholder group can serve their own interests through cumulative
voting. Confidential voting and remote proxy voting promote the interests of
shareholders.
Investors should determine whether a firm permits shareholders to nominate board
members and propose initiatives to be discussed at the annual meeting and whether the
firm regards shareholder proposals as binding or advisory.
Corporate structure changes can alter the relationship between shareholders and the
firm. Different classes of equity may separate the voting rights of shares from their
economic value.
Takeover defenses are provisions that make a company less attractive to a hostile bidder
or more difficult to acquire. They are generally not in shareholders' interests.
Page 106
©20l5 Kaplan, Inc.
Study Session 11
Cross- Reference to CFA Institute Assigned Reading #40 - The Corporate Governance of Listed Companies: A Manual for Investors
1.
Which of the following board characteristics would least likely be an indication
of high-quality corporate governance?
A. Board members have staggered terms.
B. The board can hire independent consultants.
C. The board has a separate committee to set executive pay.
2.
Which of the following board members would most likely be considered well
chosen based on the principles of good corporate governance?
A. A board member of Company B who is also the CEO of Company B.
B. A board member of Company B who is a partner in an accounting firm that
competes with the firm's auditor.
C. A board member of Company A who is president of Company B, when the
CFO of Company A sits on Company B's board.
3.
Which of the following is least likely to enable a corporate board to exercise its
duty by acting in the long-term interest of shareholders?
A. The board meets regularly outside the presence of management.
B. A majority of the board members are independent of firm management.
C. The board has representatives from key suppliers and important customers.
4.
Which of the following would most likely be considered a negative factor in
assessing the suitability of a board member? The board member:
A. has served for ten years.
B. has served on other boards.
C. is a former CEO of another firm.
5.
Which of the following would least likely be an indication of poor corporate
governance?
A. A board member leases office space to the company in a building he owns.
B. There are board members who do not have previous experience in the
industry in which the firm operates.
C. A board member has a consulting contract with the firm to provide strategic
vision for the technology research and development effort.
6.
Which of the following would most likely be considered a poor corporate
practice in terms of promoting shareholder interests?
A. The firm can use "share blocking."
B. The firm uses a third party to tabulate shareholder votes.
C. Voting for board members does not allow cumulative voting by shareholders
of all votes allotted to their shares.
ytsomlkiea
©20 15 Kaplan, Inc.
Page 107
Study Session 11
Cross- Reference to CFA Institute Assigned Reading #40 - The Corporate Governance of Listed Companies: A Manual for Investors
7.
Page 108
Two analysts are discussing shareholder defenses against hostile takeovers. Alice
states, "It is positive for shareholders that the board has shown a willingness
to buy back shares from holders who may be in a position to effect a hostile
takeover of the firm at less than its long-term value to shareholders." Bradley
states, "Firms that are likely takeover targets should offer valuable exit packages
in the event of a hostile takeover because they are necessary to recruit highly
talented top executives, such as the CEO." From the perspective of good
corporate governance, are these statements correct?
A. Both statements are correct.
B. Neither statement is correct.
C. Only one of the statements is correct.
©2015 Kaplan, Inc.
Study Session 11
Cross- Reference to CFA Institute Assigned Reading #40 - The Corporate Governance of Listed Companies: A Manual for Investors
1.
A
Staggered terms make it more difficult for shareholders to change the board of directors.
Annual elections of all members make the board more responsive to shareholder wishes.
2.
B
A board member who is a partner in an unrelated accounting firm would be considered
independent, has no particular relation to firm management, and could be a valuable
addition to the board.
3.
C
Board members should not be closely aligned with a firm's suppliers or customers
because they may act in the interest of suppliers and customers rather than in the
interest of shareholders.
4.
A
While experience may be a good thing, a board member with long tenure may be too
closely aligned with management to be considered an independent member.
5.
B
Lack of previous experience in the firm's industry is not necessarily a negative and can
be consistent with an independent board member who acts in shareholders' long-term
interests. Examples might be board members with specialized knowledge of finance,
marketing, management, accounting, or auditing. The other answers indicate possible
conflicts of interest.
6.
A
Share blocking prevents shareholders from trading their shares over a period prior to the
annual meeting and is considered a restriction on the ability of shareholders to express
their opinions and act in their own interests. Cumulative voting can allow a minority
group, such as a founding family, to serve its own interests. Third party tabulation of
shareowner votes is considered a good corporate governance practice.
7.
B
Defenses against hostile takeovers such as greenmail (Alice) or golden parachutes
(Bradley) tend to protect entrenched or poorly performing managements and typically
decrease share values. Shareholders as a group always have the choice not to sell when a
takeover offer is not in their long-term interests.
©20 15 Kaplan, Inc.
Page 109
8 questions: 12 minutes
utsqonmie
1.
nA
yxwvutsrqponmlkjihgfedcbaWTSRPKIFEDCBA
An analyst calculates the following leverage ratios for Burkhardt Company and
Dutchin Company:
yvtsrponmlkigfecaOLFD
Degree of Operating Leverage
Degree of Financial Leverage
Burkhardt
1.6
3.0
Dutchin
1.2
4.0
If both companies' sales increase by 50/0, what are the most likely effects on the
companies' earnings before interest and taxes (EBIT) and earnings per share
(EPS)?
A. Both companies' EBIT will increase by the same percentage.
B. Dutchin's EPS will increase by a larger percentage than Burkhardt's EPS.
C. Burkhardt's EBIT will increase by a larger percentage than Dutchin's EBIT.
2.
Which of the following would most likely lead to an increase in a typical firm's
capital investment for the current period?
A. A need to increase inventory.
B. An increase in the firm's expected marginal tax rate.
C. A decrease in the market value of the firm's debt.
3.
Which of the following changes in a firm's working capital management is most
likely to result in a shorter operating cycle?
A. Reducing stock-outs by carrying greater quantities of inventory.
B. Stretching its payables by paying on the last permitted date.
C. Changing its credit terms for customers from 2/10, net 60 to 2/10, net 30.
4.
A company's operations analyst is evaluating a plant expansion project that is
likely to be financed in part by issuing new common equity. Flotation costs
are expected to be 40/0 of the amount of new equity capital raised. The most
appropriate way for the analyst to treat the flotation costs is to:
A. ignore them, because flotation costs for common equity are likely to be
nonmaterial.
B. estimate the cost of equity capital based on a share price 40/0 less than the
•
current prIce.
C. determine the flotation cost attributable to this project and treat it as part of
the project's initial cash outflow.
5.
Page 110
A board of directors is most likely to act in the long-term interest of shareholders
if:
A. all board members are elected annually.
B. most board members are selected from outside the company's industry.
C. there are board members who represent the company's key supplier and
largest customer.
©2015 Kaplan, Inc.
Self-Test: Corporate Finance
6.
The manufacturer of Pow Detergent has developed New Improved Pow with
Dirteaters and is considering adding it to its product line. New Improved Pow
would sell at a premium price compared to Pow. In order to manufacture New
Improved Pow, the firm will need to build a new facility and purchase new
equipment. Which of the following is least likely included when calculating the
appropriate cash flows for analysis of whether to add New Improved Pow to its
product line?
A. Expected depreciation on the new facility and equipment for tax purposes.
B. Costs of a marketing survey performed last month to decide whether to
introduce New Improved Pow.
C. Reduced sales of Pow that result from the introduction of New Improved
Pow.
ytsomlkiea
7.
The use of secondary sources of liquidity would most likely be considered:
A. a normal part of daily business for a company.
B. a signal that a company's financial position is deteriorating.
C. a lower-cost source of short-term financing compared to primary sources of
liquidity.
8.
A firm's debt-to-equity ratio is most likely to increase as a result of a(n):
A. extra dividend.
B. stock dividend.
C. purchase of a machine for cash.
©20 15 Kaplan, Inc.
Page 111
Self-Test: Corporate Finance
Page 112
1.
C
The DOL is the percent change in operating income (EBIT) that will result from a
1% change in sales. Because Burkhardt has a higher DOL than Dutchin, Burkhardt's
EBIT will increase by a larger percentage if both companies' sales increase by the same
percentage. The percentage change in EPS resulting from a change in sales of 1% is
measured by the degree of total leverage. The DTL for Burkhardt is 1.6 x 3.0 = 4.8, and
the DTL for Dutchin is 1.2 x 4.0 = 4.8. If both companies' sales increase by the same
percentage, their EPS will also increase by the same percentage.
2.
B
Because a typical firm has both equity and debt financing, an increase in the firm's tax
rate will decrease the after-tax cost of debt and consequently decrease the firm's WACC,
which can change a project's NPV from negative to positive. A decrease in the market
value of the firm's debt will increase the market yield on the debt, which will increase the
after-tax cost of debt and the firm's WACC. Increases in inventory increase current assets
and working capital needs, not capital investment.
3.
C
The operating cycle is average days of receivables plus average days of inventory.
Changing its credit terms for customers from "net 60" to "net 30" would likely decrease
the firm's average days of receivables and shorten its operating cycle. Increasing inventory
quantities would increase average days of inventory and lengthen the operating cycle.
Stretching payables by waiting until their due date to pay would increase the firm's
average days of payables. This would shorten the firm's cash conversion cycle (days of
receivables + days of inventory - days of payables) but would not affect its operating
cycle.
4.
C
The correct treatment of flotation costs is to treat them as a cash outflow at the project's
initiation. Methods that adjust the cost of equity capital (and therefore the WACC) for
flotation costs are incorrect because the cost of capital is an ongoing expense, whereas
flotation costs are actually a one-time expense. Flotation costs for common equity are
typically large enough that they must be considered in computing a project's NPV.
5.
A
Annual elections of all board members (as compared to longer terms) make a board more
likely to represent shareholders' long-term interests because it is easier for shareholders
to nominate and elect new members. Board members who do not have direct experience
in the company's industry might lack the specific knowledge they need to give proper
oversight to management's decisions and, therefore, tend to defer to management.
Board members who are aligned with the company's customers and suppliers might have
interests that conflict with shareholders' interests.
6.
B
Costs that are incurred prior to the decision of whether or not to pursue a project are
sunk costs and should not be used in the NPV calculation. Only cash flows that result
from the decision to actually do the project should be considered in the analysis. Taxes
must be deducted so the project's cash flows can be analyzed on an after-tax basis.
Because depreciation is tax deductible, expected depreciation will affect annual taxes and
after-tax cash flows. Cannibalization of sales of an existing product is an externality that
should be included in the estimation of incremental project cash flows.
©2015 Kaplan, Inc.
Self-Test: Corporate Finance
7.
B
Secondary sources of liquidity include renegotiating debt contracts, liquidating assets,
and filing for bankruptcy protection and reorganization. The use of these sources of
funds is typically a signal that a company's financial position is deteriorating. The
liquidity provided by these sources usually comes at a substantially higher cost than
liquidity provided by primary sources.
8.
A
An extra dividend is a cash payment to shareholders that will decrease assets (cash) and
shareholders' equity (retained earnings) but will not affect liabilities. Unchanged debt
and lower equity increase the debt-to-equity ratio. Stock splits, reverse stock splits, and
stock dividends change the number of shares outstanding but do not change the value of
shareholders' equity or require any use of the firm's assets. Purchasing a machine for cash
exchanges one asset for another asset and does not affect total assets, debt, or equity.
©20 15 Kaplan, Inc.
Page 113
The following is a review of the Portfolio Management principles designed to address the learning
outcome statements set forth by CFA Institute. Cross-Reference to CFA Institute Assigned Reading #41.TRPONMLIGFEA
PORTFOLIO MANAGEMENT:
AN OVERVIEW
usocXWVRONMIFEA
Study Session 12
EXAM Focus
Here, we introduce the portfolio management process and the investment policy
statement. In this topic review, you will learn the investment needs of different types of
investors, as well as the different kinds of pooled investments. Later, our topic review of
"Basics of Portfolio Planning and Construction" will provide more detail on investment
policy statements and investor objectives and constraints.
LOS 41.a: Describe the portfolio approach to investing.
urponmligecaVPFCA
CFA® Program Curriculum, Volume 4, page 235
The portfolio perspective refers to evaluating individual investments by their
contribution to the risk and return of an investor's portfolio. The alternative to taking
a portfolio perspective is to examine the risk and return of individual investments in
isolation. An investor who holds all his wealth in a single stock because he believes it to
be the best stock available is not taking the portfolio perspective-his portfolio is very
risky compared to holding a diversified portfolio of stocks. Modern portfolio theory
concludes that the extra risk from holding only a single security is not rewarded with
higher expected investment returns. Conversely, diversification allows an investor to
reduce portfolio risk without necessarily reducing the portfolio's expected return.
In the early 1950s, the research of Professor Harry Markowitz provided a framework for
measuring the risk-reduction benefits of diversification. Using the standard deviation of
returns as the measure of investment risk, he investigated how combining risky securities
into a portfolio affected the portfolio's risk and expected return. One important
conclusion of his model is that unless the returns of the risky assets are perfectly
positively correlated, risk is reduced by diversifying across assets.
In the 1960s, professors Treynor, Sharpe, Mossin, and Lintner independently extended
this work into what has become known as modern portfolio theory (MPT). MPT
results in equilibrium expected returns for securities and portfolios that are a linear
function of each security's or portfolio's market risk (the risk that cannot be reduced by
diversification) .
One measure of the benefits of diversification is the diversification ratio. It is calculated
as the ratio of the risk of an equally weighted portfolio of n securities (measured by its
standard deviation of returns) to the risk of a single security selected at random from
the n securities. Note that the expected return of an equal-weighted portfolio is also the
expected return from selecting one of the n portfolio securities at random (the simple
n
Page 114
©2015 Kaplan, Inc.
Study Session 12
Cross-Reference to CFA Institute Assigned Reading #41 - Portfolio Management:nA An Overview
average of expected security returns in both instances). If the average standard deviation
of returns for the n stocks is 250/0, and the standard deviation of returns for an equally
weighted portfolio of the n stocks is 180/0, the diversification ratio is 18/25 = 0.72.
urponmligecaVPCA
n
While the diversification ratio provides a quick measure of the potential benefits of
diversification, an equal-weighted portfolio is not necessarily the portfolio that provides
the greatest reduction in risk. Computer optimization can calculate the portfolio weights
that will produce the lowest portfolio risk (standard deviation of returns) for a given
group of securities.
Portfolio diversification works best when financial markets are operating normally;
diversification provides less reduction of risk during market turmoil, such as the credit
contagion of 2008. During periods of financial crisis, correlations tend to increase,
which reduces the benefits of diversification.
LOS 41. b: Describe types of investors and distinctive characteristics and needs
of each.
CPA ® Program Curriculum, Volume 4, page 244
Individual investors save and invest for a variety of reasons, including purchasing a
house or educating their children. In many countries, special accounts allow citizens to
invest for retirement and to defer any taxes on investment income and gains until the
funds are withdrawn. Defined contribution pension plans are popular vehicles for these
investments. Pension plans are described later in this topic review.
Many types of institutions have large investment portfolios. An endowment is a fund
that is dedicated to providing financial support on an ongoing basis for a specific
purpose. For example, in the United States, many universities have large endowment
funds to support their programs. A foundation is a fund established for charitable
purposes to support specific types of activities or to fund research related to a particular
disease. A typical foundation's investment objective is to fund the activity or research on
a continuing basis without decreasing the real (inflation adjusted) value of the portfolio
assets. Foundations and endowments typically have long investment horizons, high
risk tolerance, and, aside from their planned spending needs, little need for additional
liquidity.
The investment objective of a bank, simply put, is to earn more on the bank's loans and
investments than the bank pays for deposits of various types. Banks seek to keep risk low
and need adequate liquidity to meet investor withdrawals as they occur.
Insurance companies invest customer premiums with the objective of funding customer
claims as they occur. Life insurance companies have a relatively long-term investment
horizon, while property and casualty (P&C) insurers have a shorter investment horizon
because claims are expected to arise sooner than for life insurers.
©20 15 Kaplan, Inc.
Page 115
Study Session 12
Cross- Reference to CFA Institute Assigned Reading #41 - Portfolio Management: An Overview
Investment companies manage the pooled funds of many investors. Mutual funds
manage these pooled funds in particular styles (e.g., index investing, growth investing,
bond investing) and restrict their investments to particular subcategories of investments
(e.g., large-firm stocks, energy stocks, speculative bonds) or particular regions (emerging
market stocks, international bonds, Asian-firm stocks).
Sovereign wealth funds refer to pools of assets owned by a government. For example, the
Abu Dhabi Investment Authority, a sovereign wealth fund in the United Arab Emirates
funded by Abu Dhabi government surpluses, has an estimated US$627 billion in assets. 1
Figure 1 provides a summary
of the risk tolerance, investment
horizon, liquidity needs,
and income objectives for different types of investors.
Figure 1: Characteristics
Investor
of Different
Types of InvestorszywvutsrqponmlkigfedcaVTRPNLIHCA
Risk Tolerance
Investment Horizon
Liquidity Needs
Income Needs
Depends on
individual
Depends on
individual
Depends on
individual
Depends on
individual
Banks
Low
Short
High
Pay interest
Endowments
High
Long
Low
Spending level
High
Low
Individuals
Insurance
Mu tual funds
Defined
benefit
•
penslons
Low
Long-life
Short-P&C
Depends on fund
Depends on fund
High
Depends on fund
High
Long
Low
Depends on age
LOS 41.c: Describe defined contribution and defined benefit pension plans.
CPA ® Program Curriculum, Volume 4, page 244
A defined contribution
pension plan is a retirement plan in which the firm contributes
a sum each period to the employee's retirement account. The firm's contribution can
be based on any number of factors, including years of service, the employee's age,
compensation, profitability, or even a percentage of the employee's contribution.
In
any event, the firm makes no promise to the employee regarding the future value of the
plan assets. The investment decisions are left to the employee, who assumes all of the
investment risk.
In a defined benefit pension plan, the firm promises to make periodic payments
to employees after retirement. The benefit is usually based on the employee's years
of service and the employee's compensation at, or near, retirement. For example,
an employee might earn a retirement benefit of 20/0 of her final salary for each year
of service. Consequently, an employee with 20 years of service and a final salary of
$100,000, would receive $40,000 ($100,000 final salary x 20/0 x 20 years of service)
each year upon retirement until death. Because the employee's future benefit is defined,
the employer assumes the investment risk. The employer makes contributions to a fund
1. Source: SWF Institute (www.swfinstitute.orglfund-rankings).
Page 116
©2015 Kaplan, Inc.
Study Session 12
Cross-Reference to CFA Institute Assigned Reading #41 - Portfolio Management:nA An Overview
established to provide the promised future benefits. Poor investment performance will
increase the amount of required employer contributions to the fund.
LOS 41.d: Describe the steps in the portfolio management process.
wutrponmligedcbaVSPFCA
CFA® Program Curriculum, Volume 4, page 250
There are three major steps in the portfolio management process:
Step 1: The planning step begins with an analysis of the investor's risk tolerance, return
objectives, time horizon, tax exposure, liquidity needs, income needs, and any
unique circumstances or investor preferences.
This analysis results in an investment policy statement (IPS) that details
the investor's investment objectives and constraints. It should also specify an
objective benchmark (such as an index return) against which the success of the
portfolio management process will be measured. The IPS should be updated at
least every few years and any time the investor's objectives or constraints change
significantly.
Step 2: The execution step involves an analysis of the risk and return characteristics
of various asset classes to determine how funds will be allocated to the various
asset types. Often, in what is referred to as a top-down analysis, a portfolio
manager will examine current economic conditions and forecasts of such
macroeconomic variables as GDP growth, inflation, and interest rates, in order
to identify the asset classes that are most attractive. The resulting portfolio is
typically diversified across such asset classes as cash, fixed-income securities,
publicly traded equities, hedge funds, private equity, and real estate, as well as
commodities and other real assets.
Once the asset class allocations are determined, portfolio managers may attempt
to identify the most attractive securities within the asset class. Security analysts
use model valuations for securities to identify those that appear undervalued in
what is termed bottom-up security analysis.
Step 3: The feedback step is the final step. Over time, investor circumstances will
change, risk and return characteristics of asset classes will change, and the actual
weights of the assets in the portfolio will change with asset prices. The portfolio
manager must monitor these changes and rebalance the portfolio periodically
in response, adjusting the allocations to the various asset classes back to their
desired percentages. The manager must also measure portfolio performance and
evaluate it relative to the return on the benchmark portfolio identified in the IPS.
LOS 41.e: Describe mutual funds and compare them with other pooled
investment products.
CFA ® Program Curriculum, Volume 4, page 254
Mutual funds are one form of pooled investments (i.e., a single portfolio that contains
investment funds from multiple investors). Each investor owns shares representing
©20 15 Kaplan, Inc.
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Study Session 12
Cross- Reference to CFA Institute Assigned Reading #41 - Portfolio Management: An Overview
ownership of a portion of the overall portfolio. The total net value of the assets in the
fund (pool) divided by the number of such shares issued is referred to as the net asset
value (NAV) of each share.
With an open-end fund, investors can buy newly issued shares at the NAV. Newly
invested cash is invested by the mutual fund managers in additional portfolio securities.
Investors can redeem their shares (sell them back to the fund) at NAVas well. All
mutual funds charge a fee for the ongoing management of the portfolio assets, which is
expressed as a percentage of the net asset value of the fund. No-load funds do not charge
additional fees for purchasing shares (up-front fees) or for redeeming shares (redemption
fees). Load funds charge either up-front fees, redemption fees, or both.
Closed-end funds are professionally managed pools of investor money that do not take
new investments into the fund or redeem investor shares. The shares of a closed-end
fund trade like equity shares (on exchanges or over-the-counter). As with open-end
funds, the portfolio management firm charges ongoing management fees.
Types of Mutual Funds
Money market funds invest in short-term debt securities and provide interest income
with very low risk of changes in share value. Fund NAVs are typically set to one
currency unit, but there have been instances over recent years in which the NAV of some
funds declined when the securities they held dropped dramatically in value. Funds are
differentiated by the types of money market securities they purchase and their average
•
•
matuntres.
Bond mutual funds invest in fixed-income securities. They are differentiated by bond
maturities, credit ratings, issuers, and types. Examples include government bond funds,
tax-exempt bond funds, high-yield (lower rated corporate) bond funds, and global bond
funds.
A great variety of stock mutual funds are available to investors. Index funds are
passively managed; that is, the portfolio is constructed to match the performance of a
particular index, such as the Standard & Poor's 500 Index. Actively managed funds refer
to funds where the management selects individual securities with the goal of producing
returns greater than those of their benchmark indexes. Annual management fees are
higher for actively managed funds, and actively managed funds have higher turnover of
portfolio securities (the percentage of investments that are changed during the year). This
leads to greater tax liabilities compared to passively managed index funds.
Other Forms of Pooled Investments
Exchange-traded funds (ETFs) are similar to closed-end funds in that purchases and
sales are made in the market rather than with the fund itself. There are important
differences, however. While closed-end funds are often actively managed, ETFs are most
often invested to match a particular index (passively managed). With closed-end funds,
the market price of shares can differ significantly from their NAV due to imbalances
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between investor supply and demand for shares at any point in time. Special redemption
provisions for ETFs are designed to keep their market prices very close to their NAVs.
ETFs can be sold short, purchased on margin, and traded at intraday prices, whereas
open-end funds are typically sold and redeemed only daily, based on the share NAV
calculated with closing asset prices. Investors in ETFs must pay brokerage commissions
when they trade, and there is a spread between the bid price at which market makers
will buy shares and the ask price at which market makers will sell shares. With most
ETFs, investors receive any dividend income on portfolio stocks in cash, while openend funds offer the alternative of reinvesting dividends in additional fund shares. One
final difference is that ETFs may produce less capital gains liability compared to openend index funds. This is because investor sales of ETF shares do not require the fund to
sell any securities. If an open-end fund has significant redemptions that cause it to sell
appreciated portfolio shares, shareholders incur a capital gains tax liability.
A separately managed account is a portfolio that is owned by a single investor and
managed according to that investor's needs and preferences. No shares are issued, as the
single investor owns the entire account.
Hedge funds are pools of investor funds that are not regulated to the extent that
mutual funds are. Hedge funds are limited in the number of investors who can invest
in the fund and are often sold only to qualified investors who have a minimum amount
of overall portfolio wealth. Minimum investments can be quite high, often between
$250,000 and $1 million.
There is a great variety of hedge fund strategies, and major hedge fund categories are
based on the investment strategy that the funds pursue:
•
•
•
•
•
•
•
Long/short funds buy securities that are expected to outperform the overall market
and sell securities short that are expected to underperform the overall market.
Equity market-neutral funds are long/short funds with long stock positions that are
just offset in value by stocks sold short. These funds are designed to be neutral with
respect to overall market movements so that they can be profitable in both up and
down markets as long as their longs outperform their shorts.
Anequity hedge fund with a bias is a long/short fund dedicated to a larger long
position relative to short sales (a long bias) or to a greater short position relative to
long positions (a short bias).
Event-driven funds invest in response to one-time corporate events, such as mergers
and acquisitions.
Fixed-income arbitrage funds take long and short positions in debt securities,
attempting to profit from minor mispricings while minimizing the effects of interest
rate changes on portfolio values.
Convertible bond arbitrage funds take long and short positions in convertible
bonds and the equity shares they can be converted into in order to profit from a
relative mispricing between the two.
Global macro funds speculate on changes in international ni terest rates and currency
exchange rates, often using derivative securities and a great amount of leverage.
Buyout funds (private equity funds) typically buy entire public companies and take
them private (their shares no longer trade). The purchase of the companies is often
funded with a significant increase in the firm's debt (a leveraged buyout). The fund
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Cross- Reference to CFA Institute Assigned Reading #41 - Portfolio Management: An Overview
attempts to reorganize the firm to increase its cash flow, pay down its debt, increase the
value of its equity, and then sell the restructured firm or its parts in a public offering or
to another company over a fairly short time horizon of three to five years.
Venture capital funds typically invest in companies in their start-up phase, with the
intent to grow them into valuable companies that can be sold publicly via an IPO
or sold to an established firm. Both buyout funds and venture capital funds are very
involved in the management of their portfolio companies and often have expertise in the
industries on which they focus.
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LOS 41.a
A diversified portfolio produces reduced risk for a given level of expected return,
compared to investing in an individual security. Modern portfolio theory concludes that
investors that do not take a portfolio perspective bear risk that is not rewarded with
greater expected return.
LOS 41.h
Types of investment management clients and their characteristics:
zyvutsrqponmlkiedcaTRNLIH
Investor Type
Risk Tolerance
Investment Horizon
Liquidity Needs
Income Needs
Depends on
individual
Depends on
individual
Depends on
individual
Depends on
individual
Banks
Low
Short
High
Pay interest
Endowments
High
Long
Low
Spending level
Insurance
Low
High
Low
Individuals
Mutual funds
Defined
benefit
•
penSIon
Long-life
Short-P&C
Depends on fund
Depends on fund
High
Depends on fund
High
Long
Low
Depends on age
LOS 41.c
In a defined contribution plan, the employer contributes a certain sum each period to
the employee's retirement account. The employer makes no promise regarding the future
value of the plan assets; thus, the employee assumes all of the investment risk.
In a defined benefit plan, the employer promises to make periodic payments to the
employee after retirement. Because the employee's future benefit is defined, the employer
assumes the investment risk.
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LOS 41.d
The three steps in the portfolio management process are:
1. Planning: Determine client needs and circumstances, including the client's return
objectives, risk tolerance, constraints, and preferences. Create, and then periodically
review and update, an investment policy statement (IPS) that spells out these needs
and circumstances.
2.
Execution: Construct the client portfolio by determining suitable allocations to
various asset classes based on the IPS and on expectations about macroeconomic
variables such as inflation, interest rates, and GDP growth (top-down analysis).
Identify attractively priced securities within an asset class for client portfolios based
on valuation estimates from security analysts (bottom-up analysis).
3.
Feedback: Monitor and rebalance the portfolio to adjust asset class allocations
and securities holdings in response to market performance. Measure and report
performance relative to the performance benchmark specified in the IPS.
LOS 41.e
Mutual funds combine funds from many investors into a single portfolio that is invested
in a specified class of securities or to match a specific index. Many varieties exist,
including money market funds, bond funds, stock funds, and balanced (hybrid) funds.
Open-ended shares can be bought or sold at the net asset value. Closed-ended funds
have a fixed number of shares that trade at a price determined by the market.
Exchange-traded funds are similar to mutual funds, but investors can buy and sell ETF
shares in the same way as shares of stock. Management fees are generally low, though
trading ETFs results in brokerage costs.
Separately managed accounts are portfolios managed for individual investors who
have substantial assets. In return for an annual fee based on assets, the investor receives
personalized investment advice.
Hedge funds are available only to accredited investors and are exempt from most
reporting requirements. Many different hedge fund strategies exist. A typical annual fee
structure is 200/0 of excess performance plus 20/0 of assets under management.
Buyout funds involve taking a company private by buying all available shares, usually
funded by issuing debt. The company is then restructured to increase cash flow.
Investors typically exit the investment within three to five years.
Venture capital funds are similar to buyout funds, except that the companies purchased
are in the start-up phase. Venture capital funds, like buyout funds, also provide advice
and expertise to the start-ups.
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Cross-Reference to CFA Institute Assigned Reading #41 - Portfolio Management:ncA An Overview
1.
Compared to investing in a single security, diversification provides investors a
way to:
A. increase the expected rate of return.
B. decrease the volatility of returns.
C. increase the probability of high returns.
2.
Portfolio diversification is least likely to protect against losses:
A. during severe market turmoil.
B. when markets are operating normally.
c. when the portfolio securities have low return correlation.
3.
In a defined contribution pension plan:
A. the employee accepts the investment risk.
B. the plan sponsor promises a predetermined retirement income to
• •
partIcIpants.
C. the plan manager attempts to match the fund's assets to its liabilities.
4.
In
A.
B.
C.
5.
Low risk tolerance and high liquidity requirements best describe the typical
investment needs of a(n):
A. defined-benefit pension plan.
B. foundation.
C. insurance company.
6.
A long time horizon and low liquidity requirements best describe the investment
needs of a(n):
A. endowment.
B. insurance company.
C. bank.
7.
Which of the following is least likely to be considered an appropriate schedule
for reviewing and updating an investment policy statement?
A. At regular intervals (e.g., every year).
B. When there is a major change in the client's constraints.
C. Frequently, based on the recent performance of the portfolio.
8.
A top-down security analysis begins by:
A. analyzing a firm's business prospects and quality of management.
B. identifying the most attractive companies within each industry.
C. examining economic conditions.
ytslkieba
a defined benefit pension plan:
the employee assumes the investment risk.
the employer contributes to the employee's retirement account each period.
the plan sponsor promises a predetermined retirement income to
• •
partIcIpants.
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Page 124
9.
Compared to exchange-traded funds (ETFs), open-end mutual funds are
typically associated with lower:
A. brokerage costs.
B. minimum investment amounts.
C. management fees.
10.
Both buyout funds and venture capital funds:
A. expect that only a small percentage of investments will payoff.
B. play an active role in the management of companies.
C. restructure companies to increase cash flow.
11.
Hedge funds most likely:
A. have stricter reporting requirements than a typical investment firm because
of their use of leverage and derivatives.
B. hold equal values of long and short securities.
C. are not offered for sale to the general public.
ytsomlkie
©2015 Kaplan, Inc.
Study Session 12
Cross-Reference to CFA Institute Assigned Reading #41 - Portfolio Management:nA An Overview
1.
B
Diversification provides an investor reduced risk. However, the expected return is
generally similar or less than that expected from investing in a single risky security. Very
high or very low returns become less likely.
2.
A
Portfolio diversification has been shown to be relatively ineffective during severe
market turmoil. Portfolio diversification is most effective when the securities have low
correlation and the markets are operating normally.
3.
A
In a defined contribution pension plan, the employee accepts the investment risk. The
plan sponsor and manager neither promise a specific level of retirement income to
participants nor make investment decisions. These are features of a defined benefit plan.
4.
C
In a defined benefit plan, the employer promises a specific level of benefits to employees
when they retire. Thus, the employer bears the investment risk.
5.
C
Insurance companies need to be able to pay claims as they arise, which leads to insurance
firms having low risk tolerance and high liquidity needs. Defined benefit pension plans
and foundations both typically have high risk tolerance and low liquidity needs.
6.
A
An endowment has a long time horizon and low liquidity needs, as an endowment
generally intends to fund its causes perpetually. Both insurance companies and banks
require high liquidity.
7.
C
An IPS should be updated at regular intervals and whenever there is a major change in
the client's objectives or constraints. Updating an IPS based on portfolio performance is
not recommended.
8.
C
A top-down analysis begins with an analysis of broad economic trends. After an industry
that is expected to perform well is chosen, the most attractive companies within that
industry are identified. A bottom-up analysis begins with criteria such as firms' business
prospects and quality of management.
9.
A
Open-end mutual funds do not have brokerage costs, as the shares are purchased from
and redeemed with the fund company. Minimum investment amounts and management
fees are typically higher for mutual funds.
10. B
Both buyout funds and venture capital funds play an active role in the management
of companies. Unlike venture capital funds, buyout funds expect that the majority of
investments will payoff. Venture capital funds do not typically restructure companies.
11. C
Hedge funds may not be offered for sale to the general public; they can be sold only
to qualified investors who meet certain criteria. Hedge funds that hold equal values of
long and short securities today make up only a small percentage of funds; many other
kinds of hedge funds exist that make no attempt to be market neutral. Hedge funds have
reporting requirements that are less strict than those of a typical investment firm.
©20 15 Kaplan, Inc.
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The following is a review of the Portfolio Management principles designed to address the learning
outcome statements set forth by CFA Institute. Cross-Reference to CFA Institute Assigned Reading #42.UTSRONMKIGEDCA
RISK MANAGEMENT: AN INTRODUCTION
Study Session 12XMEA
EXAM Focus
Here we present a framework for risk management that is broad enough to be applied to
corporations in general, financial firms, and individuals, as well as to the management
of securities portfolios in any context. The main idea is that organizations should
estimate the various risks they face and then reduce some risks and accept or increase
other risks. The result should be a bundle of risks that simultaneously matches the risk
tolerance of the organization and provides the greatest benefits in terms of reaching the
organization's goals. Note that risk is not minimized though this process. The concept
of risk budgeting, the categorization of types of risks, and the various methods of risk
mitigation all offer testable material.
LOS 42.a: Define risk management.
urpomligecaVPFCA
CFA® Program Curriculum, Volume 4, page 273
The risk management process seeks to 1) identify the risk tolerance of the organization,
2) identify and measure the risks that the organization faces, and 3) modify and monitor
these risks.
The process does not seek to minimize or eliminate all of these risks. The organization
may increase its exposure to risks it decides to take because it is better able to manage
and respond to them. The organization may decrease its exposure to risks that it is
less well able to manage and respond to by making organizational changes, purchasing
insurance, or entering into hedging transactions. Through these choices the firm aligns
the risks it takes with its risk tolerances for these various types of risk.
Risk (uncertainty) is not something to be avoided by an organization or in an
investment portfolio. Returns above the risk-free rate are earned by taking on risk.
While returns for any period are not under the control of mangers, the specific risks and
overall level of risk the organization takes are under their control. We can think of risk
management as determining organizational risks, determining the optimal bundle of
risks for the organization, and implementing risk mitigation strategies to achieve that
bundle of risks.
We describe the principles of risk management here in a framework that can be applied
broadly, not only to firms or organizations in general, but also to the management of
investment portfolios and financial firms, and even to individuals deciding how much
risk and which specific risks they will take. Individuals follow a similar approach,
selecting a bundle of risks that is optimal for maximizing their expected utility (rather
than returns or profit).
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Cross-Reference to CFA Institute Assigned Reading #42 - Risk Management:nA An Introduction
LOS 42. b: Describe features of a risk management framework.
urpomligecaVPFCA
CFA® Program Curriculum, Volume 4, page 275
An overall risk management framework encompasses several activities, including:
•
•
•
•
•
•
•
Establishing processes and policies for risk governance.
Determining the organization's risk tolerance.
Identifying and measuring existing risks.
Managing and mitigating risks to achieve the optimal bundle of risks.
Monitoring risk exposures over time.
Communicating across the organization.
Performing strategic risk analysis.
This framework is general, but all of these elements should be addressed in any
comprehensive risk management framework. Only by understanding the risks the
organization faces, and having the processes and procedures in place to effectively
manage and monitor these risks, can an organization align its risk exposures to the goals
of the organization.
LOS 42.c: Define risk governance and describe elements of effective risk
governance.
CFA® Program Curriculum, Volume 4, page 281
Risk governance refers to senior management's determination of the risk tolerance of the
organization, the elements of its optimal risk exposure strategy, and the framework for
oversight of the risk management function. Risk governance seeks to manage risk in a
way that supports the overall goals of the organization so it can achieve the best business
outcome consistent with the organization's overall risk tolerance. Risk governance
provides organization-wide guidance on the risks that should be pursued in an efficient
manner, risks that should be subject to limits, and risks that should be reduced or
avoided.
A risk management committee can provide a way for various parts of the organization to
bring up issues of risk measurement, integration of risks, and the best ways to mitigate
undesirable risks.
LOS 42.d: Explain how risk tolerance affects risk management.
CFA® Program Curriculum, Volume 4, page 283
Determining an organization's risk tolerance involves setting the overall risk exposure
the organization will take by identifying the risks the firm can effectively take and the
risks that the organization should reduce or avoid. Some of the factors that determine an
organization's risk tolerance are its expertise in its lines of business, its skill at responding
to negative outside events, its regulatory environment, and its financial strength and
ability to withstand losses.
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Cross-Reference to CFA Institute Assigned Reading #42 - Risk Management: An Introduction
When analyzing risk tolerance, management should examine risks that may exist within
the organization as well as those that may arise from outside. The various risks the firm
is exposed to must each be considered and weighted against the expected benefits of
bearing those risks and how these fit the overall goals of the organization.
LOS 42.e: Describe risk budgeting and its role in risk governance.
urpomligecaVPFCA
CFA ® Program Curriculum, Volume 4, page 285
Risk budgeting is the process of allocating firm resources to assets (or investments)
by considering their various risk characteristics and how they combine to meet the
organization's risk tolerance. The goal is to allocate the overall amount of acceptable risk
to the mix of assets or investments that have the greatest expected returns over time.
The risk budget may be a single metric, such as portfolio beta, value at risk, portfolio
duration, or returns variance. A risk budget may be constructed based on categories of
investments, such as domestic equities, domestic debt securities, international equities,
and international debt securities. Another way to allocate a risk budget is to identify
specific risk factors that comprise the overall risk of the portfolio or organization. In this
case, specific risk factors that affect asset classes to varying degrees, such as interest rate
risk, equity market risk, and foreign exchange rate risk, are estimated and aggregated to
determine whether they match the overall risk tolerance of the organization.
LOS 42.f: Identify financial and non-financial sources of risk and describe how
they may interact.
CFA® Program Curriculum, Volume 4, page 288
Financial risks are those that arise from exposure to financial markets. Examples are:
•
•
•
Credit risk. This is the uncertainty about whether the counterparty to a transaction
will fulfill its contractual obligations.
Liquidity risk. This is the risk of loss when selling an asset at a time when market
conditions make the sales price less than the underlying fair value of the asset.
Market risk. This is the uncertainty about market prices ofassets (stocks,
commodities, and currencies) and interest rates.
Non-financial risks arise from the operations of the organization and from sources
external to the organization. Examples are:
•
•
•
•
Page 128
Operational risk. This is the risk that human error or faulty organizational processes
will result in losses.
Solvency risk. This is the risk that the organization will be unable to continue to
operate because it has run out of cash.
Regulatory risk. This is the risk that the regulatory environment will change,
imposing costs on the firm or restricting its activities.
Governmental or political risk (including tax risk). This is the risk that political
actions outside a specific regulatory framework, such as increases in tax rates, will
impose significant costs on an organization.
©2015 Kaplan, Inc.
Study Session 12
Cross-Reference to CFA Institute Assigned Reading #42 - Risk Management:nA An Introduction
•
•
•
•
Legal risk. This is the uncertainty about the organization's exposure to future legal
•
acnon.
Model risk. This is the risk that asset valuations based on ht e organization's
analytical models are incorrect.
Tail risk. This is the risk that extreme events (those in thetails of the distribution of
outcomes) are more likely than the organization's analysis indicates, especially from
incorrectly concluding that the distribution of outcomes is normal.
Accounting risk. This is the risk that the organization's accounting policies and
estimates are judged to be incorrect.
For individuals, risks, such as risk of death (mortality risk) prior to providing for their
families' future needs and the risk of living longer than anticipated (longevity risk) so
that assets run out, are very important in financial planning. Mortality risk is most often
addressed with life insurance, and longevity risk can be reduced by purchasing a lifetime
annuity. Risk of health care expenses is addressed with health insurance. Although the
risks for an individual are in some ways different from those of organizations, the overall
approach is the same, choosing which risks to bear (self-insure), which risks to prevent
or avoid, and which risks to take in order to maximize the expected outcome in terms of
personal utility or satisfaction.
The various risks an organization faces are not independent; they interact in many ways.
Consider a firm with market risk that it reduces with option contracts. If markets decline
significantly, the firm is owed a payment from the firm on the other side of the option
trade, so now there is significant counterparty or credit risk. There also may be legal risks
if the counterparty seeks to avoid the payment through loopholes in the contract. Credit
losses and legal losses may result in greater liquidity risk as positions must be sold.
Additional losses from selling in a declining or less liquid market may increase solvency
risk because of the negative impact on the firm's cash position.
Interactions among risks must be considered because such interactions are many and
frequent. They can be especially important during periods of stress in financial markets,
when risk management is most important to the health and possibly the survival of the
•
•
organIzatIon.
LOS 42.g: Describe methods for measuring and modifying risk exposures and
factors to consider in choosing among the methods.
urpomligecaVPFCA
CFA® Program Curriculum, Volume 4, page 298
Measures of risk for specific asset types include standard deviation, beta, and duration.
•
•
Standard deviation is a measure of the volatility of asset prices and interest rates.
Standard deviation may not be the appropriate measure of risk for non-normal
probability distributions, especially those with negative skew or positive excess
kurtosis (fat tails).
Beta measures the market risk of equity securities and portfolios of equity
securities. This measure considers the risk reduction benefits of diversification and
is appropriate for securities held in a well-diversified portfolio, whereas standard
deviation is a measure of risk on a stand-alone basis.
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Cross-Reference to CFA Institute Assigned Reading #42 - Risk Management: An Introduction
•
Duration is a measure of the price sensitivity of debt securities to changes in interest
rates.
xvutsrponmlihgfedcbaQPNMIF
Professor's Note: We describe and calculate standard deviation in Quantitative
Methods; duration in Fixed Income; and beta in the current topic area,
Portfolio Management.
eW
Derivatives risks (sometimes referred to as "the Greeks") include:
•
•
•
•
Delta. This is the sensitivity of derivatives values to theprice of the underlying asset.
Gamma. This is the sensitivity of delta to changes in the price of the underlying
asset.
Vega. This is the sensitivity of derivatives values to the volatility of the price of the
underlying asset.
Rho. This is the sensitivity of derivatives values to changes in the risk-free rate.
Tail risk is the uncertainty about the probability of extreme (negative) outcomes.
Commonly used measures of tail risk (sometimes referred to as downside risk) include
Value at Risk and Conditional VaR.
Value at risk (VaR) is the minimum loss over a period that will occur with a specific
probability. Consider a bank that has a one-week VaR of 200 million euros with a
probability of 30/0. That means that a one-week loss of at least 200 million euros is
expected to occur 30/0 of the time. Note that this is not the maximum one-week loss the
bank will experience; it is the minimum loss that will occur 30/0 of the time. VaR does
not provide a maximum loss for a period. VaR has become accepted as a risk measure for
banks and is used in establishing minimum capital requirements.
There are various methods of calculating VaR, and both the inputs and models used will
affect the calculated value, perhaps significantly. As is always the case with estimates of
risk, incorrect inputs or inappropriate distribution assumptions will lead to misleading
results. Given these limitations, VaR should be used in conjunction with other risk
measures.
Conditional VaR (CVaR) is the expected value of a loss, given that the loss exceeds a
minimum amount. Relating this to the VaR measure presented above, the CVaR would
be the expected loss, given that the loss was at least 200 million euros. It is calculated
as the probability-weighted average loss for all losses expected to be at least 200 million
euros. CVaR is similar to the measure of loss given default that is used in estimating risk
for debt securities.
Subjective and Market-Based Estimates of Risk
Two methods of risk assessment that are used to supplement measures such as VaR
and CVaR are stress testing and scenario analysis. Stress testing examines the effects
of a specific (usually extreme) change in a key variable such as an interest rate or
exchange rate. Scenario analysis refers to a similar what-if analysis of expected loss but
incorporates changes in multiple inputs. A given scenario might combine an interest rate
change with a significant change in oil prices or exchange rates.
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Cross-Reference to CFA Institute Assigned Reading #42 - Risk Management:nA An Introduction
Quantifying the risk to an organization of very infrequent events is quite difficult. The
risk of the bankruptcy of a firm that has never experienced significant financial distress
is often a subjective estimate rather than a data-driven estimate. Estimates of risk can
also be based on the market prices of insurance, derivatives, or other securities that
can be used to hedge those risks. These hedging costs provide information on market
participants' aggregate estimate of the expected loss of specific risks.
Operational risks are difficult to quantify for a single organization because they are very
difficult to predict and may result in very large costs to the organization. One way to
approach this problem is to examine a large sample of firms in order to determine an
overall probability of significant losses due to operational risks and the average loss of
firms that have experienced such losses.
Unexpected changes in tax laws or the regulatory environment can impose large costs
on an organization. The political nature of such changes makes them quite difficult
to predict. Subjective estimates, rather than data-driven quantitative estimates, are
necessary. As is often the case, even a subjective, non-quantitative estimate of risk
probabilities and magnitudes is better than not addressing the risk factor at all.
Modifying Risk Exposures
Risk management does not seek to eliminate all risks. The goal is to retain the optimal
mix of risks for the organization. This may mean taking on more of some risks,
decreasing others, and eliminating some altogether. Once the risk management team has
estimated various risks, management may decide to prevent or avoid a risk, accept a risk,
transfer a risk, or shift a risk.
One way to avoid a risk is to not engage in the activity with the uncertain outcome. If
political risks in a country are to be avoided, simply not investing in securities of firms
based in that country or not expanding a business enterprise to that country would avoid
those risks. A decision to avoid certain risks typically would come from top management
as a part of establishing the risk tolerance of the organization and would be instituted
because the risks are judged to outweigh the potential benefits of specific activities.
Some risks can be prevented. The risk of a data breach can be prevented with a greater
level of security for the data and stronger processes. In this case, the benefits of reducing
or eliminating the risk are judged to be greater than the cost of doing so.
For risks that management has decided to bear, the organization will seek to bear them
efficiently. Diversification may offer a way to more efficiently bear a specific risk.
xwvutsrponmlkihgfedcaPNM
Professor'sNote: We explain how diversification can reduce risk in the current
topic area, Portfolio Management.
eW
Sometimes the term self-insurance is used to describe a situation where an organization
has decided to bear a risk. Note, however, that this simply means that it will bear any
associated losses from this risk factor. It is possible that this represents inaction rather
than the result of analysis and strategic decision making. In some cases, the firm will
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Cross-Reference to CFA Institute Assigned Reading #42 - Risk Management: An Introduction
establish a reserve account to cover losses as a way of mitigating the impact of losses on
the organization.
For a risk an organization has decided not to bear, risk transfer or risk shifting can be
employed. With a risk transfer, another party takes on the risk. Insurance is a type of
risk transfer. The risk of fire destroying a warehouse complex is shifted to an insurance
company by buying an insurance policy and paying the policy premiums. Insurance
companies diversify across many risks so the premiums of some insured parties pay the
losses of others. Ideally, the various risks the insurance company insures are not highly
correlated, as that can reduce or eliminate any diversification benefits. An insurance
company with highly correlated risks (or a single very large risk) may itself shift some of
the resulting risk by buying reinsurance from another company.
nA
With a surety bond, an insurance company has agreed to make a payment if a third
party fails to perform under the terms of a contract or agreement with the organization.
For example, a company may be exposed to losses if a key supplier does not deliver on
time, slowing a project and resulting in penalty payments by the company. Insurers
also issue fidelity bonds, which will pay for losses that result from employee theft or
misconduct. Managements that purchase insurance, surety bonds, or fidelity bonds have
determined that the benefits of risk reduction are greater than the cost of the insurance.
Risk shifting is a way to change the distribution of possible outcomes and is
accomplished primarily with derivative contracts. For example, financial firms that do
not want to bear currency risk on some foreign currency denominated debt securities
can use forward currency contracts, futures contracts, or swaps to reduce or eliminate
that risk. A firm with a large position in a specific stock can buy put options that provide
a minimum sale price for the securities, altering the distribution of possible outcomes
(in this case providing a floor value for the securities). On the other hand, a firm could
sell call options on a specific stock, altering the distribution of possible outcomes by
giving up some of the upside potential of the stock but decreasing its downside risk by
the amount of the premiums received from the sale of the call options.
Choosing Among Risk Modification Methods
Organizations may use multiple methods of risk modification to reduce a single risk.
The criterion is always a comparison of the costs and benefits of risk modification. Some
risks may be mitigated by diversification, some shifted by insurance where it is available
and economical, some shifted though the use of derivatives, and some simply borne or
self-insured. The end result is a risk profile that matches the risk tolerance established for
the organization and includes the risks that top management has determined match the
goals of the organization in terms of cost versus potential returns.
Page 132
©2015 Kaplan, Inc.
Study Session 12
Cross-Reference to CFA Institute Assigned Reading #42 - Risk Management:nA An Introduction
LOS 42.a
Risk management is the process of identifying and measuring the risks an organization
(or portfolio manager or individual) faces, determining an acceptable level of overall
risk (establishing risk tolerance), deciding which risks should be taken and which risks
should be reduced or avoided, and putting the structure in place to maintain the bundle
of risks that is expected to best achieve the goals of the organization.
LOS 42.h
An overall risk management framework should address the following activities:
•
Identifying and measuring existing risks.
•
Determining the organization's overall risk tolerance.
•
Establishing the processes and policies for risk governance.
•
Managing and mitigating risks to achieve the optimal bundle of risks.
•
Monitoring risk exposures over time.
•
Communicating across the organization.
•
Performing strategic risk analysis.
LOS 42.c
Risk governance refers to senior management's determination of the risk tolerance of the
organization, the elements of its optimal risk exposure strategy, and the framework for
oversight of the risk management function.
LOS 42.d
The risk tolerance for an organization is the overall amount of risk it will take in
pursuing its goals and is determined by top management.
LOS 42.e
Risk budgeting is the process of allocating the total risk the firm will take (risk tolerance)
to assets or investments by considering the risk characteristics of each and how they
can be combined to best meet the organization's goals. The budget can be a single risk
measure or the sum of various risk factors.
LOS 42.£
Financial risks are those that arise from exposure to financial markets, including credit
risk, liquidity risk, and market risk. Non-financial risks are the risks from the operation
of the organization and from sources external to the organization. Individuals face
mortality and longevity risk, in addition to financial risks.
Interactions among risks are frequent and can be especially significant during periods of
stress in financial markets.
©20 15 Kaplan, Inc.
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Cross-Reference to CFA Institute Assigned Reading #42 - Risk Management: An Introduction
LOS 42.g
Risk of assets is measured by standard deviation, beta, or duration. Derivatives risk
measures include delta, gamma, vega, and rho. Tail risk is measured with value at risk
(VaR) or Conditional VaR. Some risks must be measured subjectively.
An organization may decide to bear a risk (self-insurance), avoid or take steps to prevent
a risk, efficiently manage a risk through diversification, transfer a risk with insurance
or a surety bond, or shift a risk (change the distribution of uncertain outcomes) with
derivatives.
Organizations may use multiple methods of risk modification after considering the costs
and benefits of the various methods. The end result is a risk profile that matches the
organization's risk tolerance and includes the risks that top management has determined
match the organization's goals.
Page 134
©2015 Kaplan, Inc.
Study Session 12
Cross-Reference to CFA Institute Assigned Reading #42 - Risk Management:ncAAn Introduction
1.
An investor has the most control over her portfolio's:
A. risk.
B. relative returns.
c. risk-adjusted returns.
2.
Effective risk management would most likely attempt to:
A. maximize expected return for a given level of risk.
B. minimize risk for a given level of expected return.
c. reduce any significant risks the firm is exposed to.
3.
Risk budgeting can best be described as:
A. setting an annual limit on risk taken.
B. selecting assets by their risk characteristics.
c. establishing a maximum amount of risk to be taken.
4.
Risk governance should most appropriately be addressed within an organization
at the:
A. enterprise level.
B. business unit level.
c. individual employee level.
5.
Risk shifting is most likely achieved by:
A. risk mitigation.
B. using derivative securities.
C. transferring risk to an insurance company.
6.
Which of the following is most appropriately termed a financial risk?
A. Credit risk.
B. Solvency risk.
C. Settlement risk.
7.
A risk management framework least likely includes:
A. risk governance, risk mitigation, and strategic risk analysis.
B. identifying and measuring risks, risk policies and processes, and risk
governance.
C. risk mitigation, tracking the organization's risk profile, and establishing
position limits.
ytsrpomlkieba
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Cross-Reference to CFA Institute Assigned Reading #42 - Risk Management: An Introduction
Page 136
1.
A
An investor can select securities to achieve a given level of portfolio risk. Returns cannot
be controlled.
2.
A
Risk management requires establishment of a risk tolerance (maximum acceptable level
of risk) for the organization and will attempt to maximize expected returns for that level
of risk. Some significant risks the firm is exposed to may be borne by the firm or even
increased as a result of risk management.
3.
B
Risk budgeting refers to selecting assets or securities by their risk characteristics up to
the maximum allowable amount of risk. The maximum amount of risk to be taken is
established through risk governance.
4.
A
Risk governance should be approached from an enterprise view, with senior management
determining risk tolerance and a risk management strategy on an organization-wide
level.
5.
B
Risk shifting changes the distribution of possible outcomes, typically through the use of
derivative securities. Risk shifting is one technique for mitigating risk. Transferring risk
to an insurance company is termed risk transfer.
6.
A
The main sources of financial risk are market risk, credit risk, and liquidity risk.
Solvency risk and settlement risk are classified as non-financial risks.
7.
C
A risk management framework includes the procedures, analytical tools, and
infrastructure to conduct the risk governance process. It includes all of the items listed
with the exception of establishing position limits, which is an example of the operational
implementation of a system of risk management.
©2015 Kaplan, Inc.
The following is a review of the Portfolio Management principles designed to address the learning
outcome statements set forth by CFA Institute. Cross-Reference to CFA Institute Assigned Reading #43.UTSRPONLKIFEDA
PORTFOLIO RISK AND RETURN: PART
I
I
Study Session 12tnXMEA
EXAM Focus
This topic review makes use of many of the statistical and returns measures we covered
in Quantitative Methods. You should understand the historical return and risk rankings
of the major asset classes and how the correlation (covariance) of returns between assets
and between various asset classes affects the risk of portfolios. Risk aversion describes an
investor's preferences related to the tradeoff between risk and return. These preferences,
along with the risk and return characteristics of available portfolios, can be used to
illustrate the selection of an optimal portfolio for a given investor, that is, the portfolio
that maximizes the investor's expected utility.
LOS 43.a: Calculate and interpret major return measures and describe their
•
approprIate uses.
urpomligecaVPFCA
CFA® Program Curriculum, Volume 4, page 320
Holding period return (HPR) is simply the percentage increase in the value of an
investment over a given time period:
ldi
. d
o
lng
perlo
return =
h
end-of-period value
1 P + Div t 1 Pt
- = t
- =
beginning-of-period value
Po
-
Po + Div t
Po
If a stock is valued at €20 at the beginning of the period, pays €1 in dividends over the
period, and at the end of the period is valued at £22, the HPR is:
HPR=
(22 + 1) /20-1
= 0.15 = 150/0
Average Returns
The arithmetic mean return is the simple average of a series of periodic returns. It has
the statistical property of being an unbiased estimator of the true mean of the underlying
distribution
.h
of returns:
.
(R1 +R2 +R3 + ...+Rn)
arrt rnetrc mean return = --=-----=-----=-------==-n
©20 15 Kaplan, Inc.
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Study Session 12
Cross-Reference to CFA Institute Assigned Reading #43 - Portfolio Risk and Return: Part I
The geometric mean return is a compound annual rate. When periodic rates of return
vary from period to period, the geometric mean return will have a value less than the
arithmetic mean return:
geometric mean return = ~(1 + R1)x (1 + R2)X (1 + R3) x ... x (1 + Rn)-l
nA
For example, for returns R, over three annual periods, the geometric mean return is
calculated as follows:
R
Example: Return measures
An investor purchased $1,000 of a mutual fund's shares. The fund had the following
total returns over a 3-year period: +50/0,-80/0, +120/0.Calculate the value at the end
of the 3-year period, the holding period return, the mean annual return, and the
geometric mean annual return.
Answer:
Ending value = (1,000)(1.05)(0.92)(1.12)
=
$1,081.92.
Holding period return = (1.05)(0.92)(1.12) - 1 = 0.08192
be calculated as 1,081.92/ 1,000 - 1 = 8.1920/0.
= 8.1920/0, which can also
Arithmetic mean return = (50/0- 80/0+ 120/0)/ 3 = 30/0.
Geometric mean return = ~(1.05)(0.92)(1.12) -1 = 0.02659 = 2.660/0, which can also
be calculated as geometric mean return = ~1 + HPR -1 = ~1.08192 -1 = 2.660/0.
The money-weighted rate of return is the internal rate of return on a portfolio based
on all of its cash inflows and outflows. To calculate a money-weighted rate of return,
consider the beginning value and additional deposits of cash by the investor to be
inflows and consider withdrawals of cash, interest, and dividends (which are additional
cash available to be withdrawn) and the ending value to be outflows.
Page 138
©2015 Kaplan, Inc.
Study Session 12
Cross- Reference to CFA Institute Assigned Reading #43 - Portfolio Risk and Return: Part I
Example: Money-weighted rate of return
Assume an investor buys a share of stock for $80 at t = 0 and at the end of the next
year (t = 1), she buys an additional share for $70. At the end of Year 2, the investor
sells both shares for $85 each. At the end of each year in the holding period, the stock
paid a $1.50 per share dividend. What is the money-weighted rate of return?
t
Answer:
trpeS
Step 1: Determine the timing of each cash flow and whether the cash flow is an
inflow (+), into the account, or an outflow (-), available from the account.
t =
0:
purchase of first share
-
+$80.00 inflow to account
t =
1:
purchase of second share
dividend from first share
Subtotal, t = 1
=
t =
2:
dividend from two shares
- -$3.00
proceeds from selling shares = -$170.00
Subtotal, t = 2
-$173.00
+$70.00
= -$1.50
+$68.50 inflow to account
outflow from account
Step 2: Net the cash flows for each time period and set the PV of cash inflows equal
to the present value of cash outflows.
PVinflows = PVoutflows
$80
+ $68.50
= $173.00
(l f-r)
(l+r)2
Step 3: Solve for r to find the money-weighted rate of return.
Net cash flows: CFo
=
+80; CF 1 = +68.5; CF2
=
-173
The money-weighted rate of return is 10.350/0.
In the previous example, the cash flows in and out of the account occur at l-year
intervals so that we solved for an annual money-weighted rate of return. More generally,
we must use the shortest period between significant cash flows into or out of the account
when setting up the internal rate of return calculation. For example, if we use one
month as our period (zero cash flow for months with no cash flows), the internal rate
of return calculation will yield a monthly rate of return. In that case, we would need to
compound the monthly money-weighted return for 12 months to translate it into an
effective annual rate.
Other Return Measures
Gross return refers to the total return on a security portfolio before deducting fees for
the management and administration of the investment account. Net return refers to the
return after these fees have been deducted. Note that commissions on trades and other
©20 15 Kaplan, Inc.
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Study Session 12
Cross-Reference to CFA Institute Assigned Reading #43 - Portfolio Risk and Return: Part I
costs that are necessary to generate the investment returns are deducted in both gross
and net return measures.
Pretax nominal return refers to the return prior to paying taxes. Dividend income,
interest income, short-term capital gains, and long-term capital gains may all be taxed at
different rates.
After-tax nominal return refers to the return after the tax liability is deducted.
Real return is nominal return adjusted for inflation. Consider an investor who earns a
nominal return of 70/0 over a year when inflation is 2%. The investor's approximate real
return is simply 7 - 2 ;:::50/0.The investor's exact real return is slightly lower, 1.07 / 1.02
- 1 ;:::0.049 ;:::4.9%.
Real return measures the increase in an investor's purchasing power: how much more
goods she can purchase at the end of one year due to the increase in the value of her
investments. If she invests $1,000 and earns a nominal return of 70/0, she will have
$1,070 at the end of the year. If the price of the goods she consumes has gone up 20/0,
from $1.00 to $1.02, she will be able to consume 1,070/ 1.02;::: 1,049 units. She has
given up consuming 1,000 units today but instead is able to purchase 1,049 units at the
end of one year. Her purchasing power has gone up 4.9%; this is her real return.
A leveraged return refers to a return to an investor that is a multiple of the return on the
underlying asset. The leveraged return is calculated as the gain or loss on the investment
as a percentage of an investor's cash investment. An investment in a derivative security,
such as a futures contract, produces a leveraged return because the cash deposited is
only a fraction of the value of the assets underlying the futures contract. Leveraged
investments in real estate are very common: investors pay for only part of the cost of
the property with their own cash, and the rest of the amount is paid for with borrowed
money.
nA
LOS 43.b: Describe characteristics of the major asset classes that investors
consider in forming portfolios.
urpomligecaVPCA
CPA ® Program Curriculum, Volume 4, page 320
An examination of the returns and standard deviation of returns for the major investable
asset classes supports the idea of a tradeoff between risk and return. Using U.S. data over
the period 1926-2008 as an example, shown in Figure 1, small-capitalization stocks have
had the greatest average returns and greatest risk over the period. T-bills had the lowest
average returns and the lowest standard deviation of returns.
Page 140
©2015 Kaplan, Inc.
Study Session 12
Cross- Reference to CFA Institute Assigned Reading #43 - Portfolio Risk and Return: Part I
Figure 1: Risk and Return of Major Asset Classes in the United States (1926-2008)1
Average Annual Return
(Geometric Mean)
Standard Deviation
(Annualized Monthly)
Small-cap stocks
11.7%
33.0%
Large-cap stocks
9.6%
20.9%
Long-term corporate bonds
5.9%
8.4%
Long-term Treasury bonds
5.7%
9.4%
Treasury bills
3.7%
3.1%
Inflation
3.0%
4.2%
Assets Class
zyvutsrponmlihgedcaVSRPMGFDCA
Results for other markets around the world are similar: asset classes with the greatest
average returns also have the highest standard deviations of returns.
The annual nominal return on U.S. equities has varied greatly from year to year,
ranging from losses greater than 400/0 to gains of more than 500/0. We can approximate
the real returns over the period by subtracting inflation. The asset class with the least
risk, T-bills, had a real return of only approximately 0.70/0 over the period, while the
approximate real return on U.S. large-cap stocks was 6.60/0. Because annual inflation
fluctuated greatly over the period, real returns have been much more stable than nominal
returns.
Evaluating investments using expected return and variance of returns is a simplification
because returns do not follow a normal distribution; distributions are negatively skewed,
with greater kurtosis (fatter tails) than a normal distribution. The negative skew reflects
a tendency towards large downside deviations, while the positive excess kurtosis reflects
frequent extreme deviations on both the upside and downside. These non-normal
characteristics of skewness (7: 0) and kurtosis (7: 3) should be taken into account when
analyzing investments.
Liquidity is an additional characteristic to consider when choosing investments because
liquidity can affect the price and, therefore, the expected return of a security. Liquidity
can be a major concern in emerging markets and for securities that trade infrequently,
such as low-quality corporate bonds.
LOS 43.c: Calculate and interpret the mean, variance, and covariance (or
correlation) of asset returns based on historical data.
CFA® Program Curriculum, Volume 4, page 332
Variance (Standard Deviation) of Returns for an Individual Security
In finance, the variance and standard deviation of returns are common measures of
investment risk. Both of these are measures of the variability of a distribution of returns
about its mean or expected value.
1.
2009 Ibbotson SBBI Classic Yearbook.
©20 15 Kaplan, Inc.
Page 141
Study Session 12
Cross-Reference to CFA Institute Assigned Reading #43 - Portfolio Risk and Return: Part I
We can calculate the population variance, (12, when we know the return R, for each period,
the total number periods (T), and the mean or expected value of the population's
distribution (1-1), as follows:
TR
tonlVTR
T
L:(Rt
-1-1)2
(12 = --"t__:l:....__
_
T
In the world of finance, we are typically analyzing only a sample of returns data, rather
than the entire population. To calculate sample variance, ?, using a sample of T
historical returns and the mean, R, of the observations, we use the following formula:
tR
S2 = -=t_1=---
_
T-l
Covariance and Correlation of Returns for Two Securities
Covariance measures the extent to which two variables move together over time. A
positive covariance means that the variables (e.g., rates of return on two stocks) tend
to move together. Negative covariance means that the two variables tend to move in
opposite directions. A covariance of zero means there is no linear relationship between
the two variables. To put it another way, if the covariance of returns between two assets
is zero, knowing the return for the next period on one of the assets tells you nothing
about the return of the other asset for the period.
Here we will focus on the calculation of the covariance between two assets' returns
using historical data. The calculation of the sample covariance is based on the following
formula:
n
L:{[R ,l - R1][ R ,2 t
CoV1,2
t
R2]}
C
t=l
= ....::.......;:;__---------
n-l
where:
R
~'t,l = return
on Asset 1 in period t
Rt,2 = return on Asset 2 in period t
R,
= mean return on Asset 1
R,
= mean
n
return on Asset 2
= number of periods
The magnitude of the covariance depends on the magnitude of the individual stocks'
standard deviations and the relationship between their co-movements. Covariance is an
absolute measure and is measured in return units squared.
Page 142
©2015 Kaplan, Inc.
Study Session 12
Cross- Reference to CFA Institute Assigned Reading #43 - Portfolio Risk and Return: Part I
The covariance of the returns of two securities can be standardized by dividing by the
product of the standard deviations of the two securities. This standardized measure of
co-movement is called correlation and is computed as:
COV1,2
P1,2 =
0'10'2
The relation can also be written as:
The term Pl,2 is called the correlation coefficient between the returns of securities 1 and 2.
The correlation coefficient has no units. It is a pure measure of the co-movement of the
two stocks' returns and is bounded by -1 and + 1.
utronlkifecaYSR
How should you interpret the correlation coefficient?
•
•
•
A correlation coefficient of + 1 means that deviations from the mean or expected
return are always proportional in the same direction. That is, they are perfectly
positively correlated.
A correlation coefficient of-1 means that deviations from the mean or expected
return are always proportional in opposite directions. That is, they are perfectly
negatively correlated.
A correlation coefficient of zero means that there is no linear relationship between
the two stocks' returns. They are uncorrelated. One way to interpret a correlation
(or covariance) of zero is that, in any period, knowing the actual value of one
variable tells you nothing about the value of the other.
Example: Calculating mean return, returns variance, returns covariance,
and correlation
Given the six years of percentage returns for Stocks 1 and 2 in the following table,
calculate the mean return, sample variance, sample covariance, and correlation for the
•
two returns series.
Year
Stock 1
Return
Stock 2
Return
20X4
+0.10
+0.20
+0.05
+0.10
+0.005
20X5
-0.15
-0.20
-0.20
-0.30
+0.060
20X6
+0.20
-0.10
+0.15
-0.20
-0.030
20X7
+0.25
+0.30
+0.20
+0.20
+0.040
20X8
-0.30
-0.20
-0.35
-0.30
+0.105
20X9
+0.20
+0.60
+0.15
+0.50
+0.075
L:Rl = 0.30
Rl = 0.05
L:R2 = 0.60
R2 = 0.10
©20 15 Kaplan, Inc.
E
=
0.255
Page 143
Study Session 12
Cross-Reference to CFA Institute Assigned Reading #43 - Portfolio Risk and Return: Part I
Answer:
To calculate the mean returns for the samples, we sumthe returns for each stock and
divide by the number of years. The mean returns are Rr = 30 / 6 = 50/0for Stock 1
and R2 = 60 / 6 = 100/0for Stock 2.
rR
Using the deviations of each year's returns from the mean return for Stock 1, we can
calculate the sample variance as follows:
2 (0.05)2 +(-0.20)2
sl =
+(0.15)2 +(0.20)2 +(-0.35)2
+(0.15)2
6-1
= 0.05
Using the deviations of each year's returns from the mean return for Stock 2, we can
calculate the sample variance as follows:
s~ = (0.10)2 +(-0.30)2
+(-0.20)2
+(0.20)2 +(-0.30)2
6-1
+(0.50)2
=0.104
In the right-hand column of the table, we have summed the products of the
deviations of Stocks 1 and 2 from their means to get 0.255.
The sample covariance is calculated as 0.255 / (6 - 1) = 0.051.
To convert the covariance into correlation, we use the sample standard deviations of
returns for the two stocks:
sl = JO.05 = 0.2236 = 22.360/0
urpomligecaVPOJCA
s2 = ..)0.104 = 0.3225 = 32.250/0
Finally, we can calculate the correlation coefficient for the two stocks' returns as
follows:
LOS 43.d: Explain risk aversion and its implications for portfolio selection.
CPA ® Program Curriculum, Volume 4, page 343
A risk-averse investor is simply one that dislikes risk (i.e., prefers less risk to more risk).
Given two investments that have equal expected returns, a risk-averse investor will
choose the one with less risk (standard deviation, 0-).
Page 144
©2015 Kaplan, Inc.
Study Session 12
Cross-Reference to CFA Institute Assigned Reading #43 - Portfolio Risk and Return: Part I
A risk-seeking (risk-loving) investor actually prefers more risk to less and, given equal
expected returns, will choose the more risky investment. A risk-neutral investor has no
preference regarding risk and would be indifferent between two such investments.
Consider this gamble: A coin will be flipped; if it comes up heads, you receive $100; if
it comes up tails, you receive nothing. The expected payoff is 0.5($100) + 0.5($0) == $50. A
risk-averse investor would choose a payment of $50 (a certain outcome) over the gamble.
A risk-seeking investor would prefer the gamble to a certain payment of $50. A riskneutral investor would be indifferent between the gamble and a certain payment of $50.
If expected returns are identical, a risk-averse investor will always choose the investment
with the least risk. However, an investor may select a very risky portfolio despite being
risk averse; a risk-averse investor will hold very risky assets if he feels that the extra
return he expects to earn is adequate compensation for the additional risk.
LOS 43.e: Calculate and interpret portfolio standard deviation.
wurpomligecaVPFCA
CFA® Program Curriculum, Volume 4, page 352
The variance of returns for a portfolio of two risky assets is calculated as follows:
where wI is the proportion of the portfolio invested in Asset 1, and w2 is the proportion
of the portfolio invested in Asset 2. w2 must equal (1 - wI).
wI
Previously, we established that the correlation of returns for two assets is calculated as:
COVI2
.
PI2 =
, so that we can also wnte CovI2 = PI20"10"2.
0"10"2
Substituting this term for Cov 12 in the formula for the variance of returns for a portfolio
of two risky assets, we have the following:
Var POrtIOc 1.10 = wtO"r
+ w~O"~+ 2wI w2PI20"10"2
Because Varportfolio= O"~ortfolio:
Writing the formula in this form allows us to easily see the effect of the correlation of
returns between the two assets on portfolio risk.
©20 15 Kaplan, Inc.
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Study Session 12
Cross-Reference to CFA Institute Assigned Reading #43 - Portfolio Risk and Return: Part I
LOS 43.f: Describe the effect on a portfolio's risk of investing in assets that are
less than perfectly correlated.
yxwvutsrqponmlihgfedcbaVTPNIFCA
CFA® Program Curriculum, Volume 4, page 357
If two risky asset returns are perfectly positively correlated, p 12 == + 1, then the square root
of portfolio variance (the portfolio standard deviation of returns) is equal to:
p
Professor's Note: This might be easier to see by examining the algebra in reverse.
Ifw1(J1 + w2(J2 equals the square root of the term under the radical in this
special case, then (wI (J 1 + w2(J ~2 should equal the term under the radical. If we
expand (toj(J 1 + w2(J ~2, we get:
jaPJ
In this unique case, with p 12 == 1, the portfolio standard deviation is simply a weighted
average of the standard deviations of the individual asset returns. A portfolio 250/0
invested in Asset 1 and 750/0invested in Asset 2 will have a standard deviation of returns
equal to 250/0of the standard deviation (a 1) of Asset 1's return, plus 750/0of the standard
deviation (a2) of Asset 2's return.
Focusing on returns correlation, we can see that the greatest portfolio risk results when
the correlation between asset returns is + 1. For any value of correlation less than + 1,
portfolio variance is reduced. Note that for a correlation of zero, the entire third term in
the portfolio variance equation is zero. For negative values of correlation P12' the third
term becomes negative and further reduces portfolio variance and standard deviation.
We will illustrate this property with an example.
Example: Portfolio risk as correlation varies
Consider two risky assets that have returns variances of 0.0625 and 0.0324,
respectively. The assets' standard deviations of returns are then 250/0and 180/0,
respectively. Calculate the variances and standard deviations of portfolio returns for
an equal-weighted portfolio of the two assets when their correlation of returns is 1,
0.5, 0, and -0.5.
Page 146
©2015 Kaplan, Inc.
Study Session 12
Cross- Reference to CFA Institute Assigned Reading #43 - Portfolio Risk and Return: Part I
The calculations are as follows:
o portfolio= ~varianceportfolio
0portfolio= Jwror
p
= correlation
+ w~o~ + 2wl w2Pi20102
= + 1:
o = portfolio standard deviation = 0.5(250/0) + 0.5(180/0) = 21.50/0
02 = portfolio variance = 0.2152 = 0.046225
p
=
correlation
=
0.5:
02 = (0.52)0.0625
+ (0.52)0.0324
+ 2(0.5)(0.5)(0.5)(0.25)(0.18)
+ (0.52)0.0324
=
+ (0.52)0.0324
+ 2(0.5)(0.5)(-0.5)(0.25)(0.18)
= 0.034975
o = 18.700/0
p
= correlation
=
0:
02 = (0.52)0.0625
0.023725
o = 15.400/0
p
= correlation
= -0.5:
02 = (0.52)0.0625
=
0.012475
o = 11.170/0
Note that portfolio risk falls as the correlation between the assets' returns decreases. This
is an important result of the analysis of portfolio risk: The lower the correlation of asset
returns, the greater the risk reduction (diversification) benefit of combining assets in a
portfolio. If asset returns were perfectly negatively correlated, portfolio risk could be
eliminated altogether for a specific set of asset weights.
We show these relations graphically in Figure 2 by plotting the portfolio risk and return
for all portfolios of two risky assets, for assumed values of the assets' returns correlation.
©20 15 Kaplan, Inc.
Page 147
Study Session 12
Cross-Reference to CFA Institute Assigned Reading #43 - Portfolio Risk and Return: Part I
Figure 2: Risk and Return for Different Values of p
pRE
E(R)
p
100% Asset B
.~
•
..
"
......
......
..... ,.. •
..
'"
..
... .. .. ...
.....
,•
p =-1
••
....
•
p = -0.5 :,
,,
,
..........
p=
•
... ... ...
••
..
•
.
..'.
..
........ ........
.....
..
... ... '*
,. •
",,'"
.>:
... .."
...
,
•
.. •
.. •
,,"
..
.....
urpomligecaVPCA
."
..'
•
, •
,, •
0,', p = +0.5,"
~ ..
,
,,
',
,
,,
,
• ......... • ......
............ '
'
p = +1
1
100% Asset Arc
~-------------------------------------------------cr
p
From these analyses, the risk-reduction benefits of investing in assets with low return
correlations should be clear. The desire to reduce risk is what drives investors to invest in
not just domestic stocks, but also bonds, foreign stocks, real estate, and other assets.
LOS 43.g: Describe and interpret the minimum-variance and efficient frontiers
of risky assets and the global minimum-variance portfolio.
CPA ® Program Curriculum, Volume 4, page 364
For each level of expected portfolio return, we can vary the portfolio weights on the
individual assets to determine the portfolio that has the least risk. These portfolios that
have the lowest standard deviation of all portfolios with a given expected return are
known as minimum-variance portfolios. Together they make up the minimum-variance
frontier.
Assuming that investors are risk averse, investors prefer the portfolio that has the greatest
expected return when choosing among portfolios that have the same standard deviation
of returns. Those portfolios that have the greatest expected return for each level of risk
(standard deviation) make up the efficient frontier. The efficient frontier coincides with
the top portion of the minimum-variance frontier. A risk-averse investor would only
choose portfolios that are on the efficient frontier because all available portfolios that are
not on the efficient frontier have lower expected returns than an efficient portfolio with
the same risk. The portfolio on the efficient frontier that has the least risk is the global
minimum-variance portfolio.
These concepts are illustrated in Figure 3.
Page 148
©2015 Kaplan, Inc.
Study Session 12
Cross-Reference to CFA Institute Assigned Reading #43 - Portfolio Risk and Return: Part I
Figure 3: Minimum-Variance
and Efficient Frontiers
E(R)
Global MinimumVariance PortfolionIA
•
•
•
\
•
,
...
... ...
.. .. .. ..
•
•
~
•
Efficient Frontier
(All Efficient Portfolios)
•
rcL
Inefficient Portfolios
•
~
.. .. .. ....
Individual Security
•
•
...... ...... - __• .. __ •
------
L--------------------------------------------------cr
LOS 43.h: Explain the selection of an optimal portfolio, given an investor's
utility (or risk aversion) and the capital allocation line.
urpomligecaVPFCA
CFA® Program Curriculum, Volume 4, page 370
An investor's utility function represents the investor's preferences in terms of risk and
return (i.e., his degree of risk aversion). An indifference curve is a tool from economics
that, in this application, plots combinations of risk (standard deviation) and expected
return among which an investor is indifferent. In constructing indifference curves for
portfolios based on only their expected return and standard deviation of returns, we
are assuming that these are the only portfolio characteristics that investors care about.
In Figure 4, we show three indifference curves for an investor. The investor's expected
utility is the same for all points along a single indifference curve. Indifference curve II
represents the most preferred portfolios in Figure 4; our investor will prefer any portfolio
along II to any portfolio on either 12 or 13.
©20 15 Kaplan, Inc.
Page 149
Study Session 12
Cross-Reference to CFA Institute Assigned Reading #43 - Portfolio Risk and Return: Part I
Figure 4: Risk-Averse Investor's Indifference Curves
RE
E(R)rcL
L--------------------------------------------------cr
Indifference curves slope upward for risk-averse investors because they will only take on
more risk (standard deviation of returns) if they are compensated with greater expected
returns. An investor who is relatively more risk averse requires a relatively greater
increase in expected return to compensate for a given increase in risk. In other words,
a more risk-averse investor will have steeper indifference curves, reflecting a higher risk
aversion coefficient.
In our previous illustration of efficient portfolios available in the market, we included
only risky assets. Now we will introduce a risk-free asset into our universe of available
assets, and we will consider the risk and return characteristics of a portfolio that
combines a portfolio of risky assets and the risk-free asset. Recall from Quantitative
Methods that we can calculate the expected return and standard deviation of a portfolio
with weight WA allocated to risky Asset A and weight WB allocated to risky Asset Busing
the following formulas:
WA
Allow Asset B to be the risk-free asset and Asset A to be the risky asset portfolio. Because
a risk-free asset has zero standard deviation and zero correlation of returns with those of
a risky portfolio, this results in the reduced equation:
The intuition of this result is quite simple: If we put X% of our portfolio into the risky
asset portfolio, the resulting portfolio will have standard deviation of returns equal
to X% of the standard deviation of the risky asset portfolio. The relationship between
portfolio risk and return for various portfolio allocations is linear, as illustrated in Figure 5.
Page 150
©2015 Kaplan, Inc.
Study Session 12
Cross- Reference to CFA Institute Assigned Reading #43 - Portfolio Risk and Return: Part I
Combining a risky portfolio with a risk-free asset is the process that supports the twofund separation theorem, which states that all investors' optimum portfolios will be
made up of some combination of an optimal portfolio of risky assets and the risk-free
asset. The line representing these possible combinations of risk-free assets and the
optimal risky asset portfolio is referred to as the capital allocation line.
Point X on the capital allocation line in Figure 5 represents a portfolio that is 400/0
invested in the risky asset portfolio and 600/0 invested in the risk-free asset. Its expected
return will be 0.40 [E(Rrisky asset portfolio)] + 0.60(Rf), and its standard deviation will be
pcXRE
0.40 (c risky asset portfolio)·
Figure 5: Capital Allocation Line and Risky Asset Weights
E(R)
E(R .
.)
- -- -
..
nsky portfolio
E(R)
-- - -
Capital
Allocation
LineRE
X
op
cr risky porrfolio
Now that we have constructed a set of the possible efficient portfolios (the capital
allocation line), we can combine this with indifference curves representing an
individual's preferences for risk and return to illustrate the logic of selecting an optimal
portfolio (i.e., one that maximizes the investor's expected utility). In Figure 6, we can see
that Investor A, with preferences represented by indifference curves 11' 12, and 13, can
reach the level of expected utility on 12 by selecting portfolio X. This is the optimal
portfolio for this investor, as any portfolio that lies on 12 is preferred to all portfolios
that lie on 13 (and in fact to any portfolios that lie between 12 and 13). Portfolios on 11
are preferred to those on 12, but none of the portfolios that lie on 11 are available in the
market.
©20 15 Kaplan, Inc.
Page 151
Study Session 12
Cross-Reference to CFA Institute Assigned Reading #43 - Portfolio Risk and Return: Part I
Figure 6: Risk-Averse Investor's Indifference Curves
RE
E(R)
Capital
Allocation
Line
The final result of our analysis here is not surprising; investors who are less risk averse
will select portfolios that are more risky. Recall that the less an investor's risk aversion,
the flatter his indifference curves. As illustrated in Figure 7, the flatter indifference curve
for Investor B (fB) results in an optimal (tangency) portfolio that lies to the right of the
one that results from a steeper indifference curve, such as that for Investor A (fA). An
investor who is less risk averse should optimally choose a portfolio with more invested in
the risky asset portfolio and less invested in the risk-free asset.
fA
B
Figure 7: Portfolio Choices Based on Investor's Indifference Curves
E(R)
Capital
Allocation
LinercL
L--------------------------------------------------cr
Page 152
©2015 Kaplan, Inc.
Study Session 12
Cross-Reference to CFA Institute Assigned Reading #43 - Portfolio Risk and Return: Part I
LOS 43.a
Holding period return is used to measure an investment's return over a specific period.
Arithmetic mean return is the simple average of a series of periodic returns. Geometric
mean return is a compound annual rate.
Money-weighted rate of return is the IRR calculated using periodic cash flows into and
out of an account and is the discount rate that makes the present value of cash inflows
equal to the present value of cash outflows.
Gross return is total return after deducting commissions on trades and other costs
necessary to generate the returns, but before deducting fees for the management and
administration of the investment account. Net return is the return after management
and administration fees have been deducted.
Pretax nominal return is the numerical percentage return of an investment, without
considering the effects of taxes and inflation. After-tax nominal return is the numerical
return after the tax liability is deducted, without adjusting for inflation. Real return is
the increase in an investor's purchasing power, roughly equal to nominal return minus
inflation. Leveraged return is the gain or loss on an investment as a percentage of an
investor's cash investment.
LOS 43.h
As predicted by theory, asset classes with the greatest average returns have also had the
highest risk.
Some of the major asset classes that investors consider when building a diversified
portfolio include small-capitalization stocks, large-capitalization stocks, long-term
corporate bonds, long-term Treasury bonds, and Treasury bills.
In addition to risk and return, when analyzing investments, investors also take into
consideration an investment's liquidity, as well as non-normal characteristics such as
skewness and kurtosis.
©20 15 Kaplan, Inc.
Page 153
Study Session 12
Cross-Reference to CFA Institute Assigned Reading #43 - Portfolio Risk and Return: Part I
LOS 43.c
We can calculate the population variance,
(J'2,
aTRJ
when we know the return R, for period t,
tLJ
the total number T of periods, and the mean J-L of the population's distribution:
population variance
S
= a2
= --"t,-"I,___
_
T
In finance, we typically analyze only a sample of returns, so the sample variance applies
instead:
sample variance
=
S2 = --"t'-"I'-----
_
T-l
Covariance measures the extent to which two variables move together over time.
Positive covariance means the variables (e.g., rates of return on two stocks) tend to move
together. Negative covariance means that the two variables tend to move in opposite
directions. Covariance of zero means there is no linear relationship between the two
variables.
Correlation is a standardized measure of co-movement
that is bounded by -1 and + 1:
LOS 43.d
A risk-averse investor is one that dislikes risk. Given two investments that have equal
expected returns, a risk-averse investor will choose the one with less risk. However, a
risk-averse investor will hold risky assets if he feels that the extra return he expects to
earn is adequate compensation for the additional risk. Assets in the financial markets are
priced according to the preferences of risk-averse investors.
A risk-seeking (risk-loving) investor actually prefers more risk to less and, given
investments with equal expected returns, will choose the more risky investment.
A risk-neutral investor has no preference regarding risk and would be indifferent
between two investments with the same expected return but different standard deviation
of returns.
LOS 43.e
The standard deviation of returns for a portfolio of two risky assets is calculated as
follows:
Page 154
©2015 Kaplan, Inc.
Study Session 12
Cross-Reference to CFA Institute Assigned Reading #43 - Portfolio Risk and Return: Part I
LOS 43.f
The greatest portfolio risk will result when the asset returns are perfectly positively
correlated. As the correlation decreases from + 1 to -1, portfolio risk decreases. The lower
the correlation of asset returns, the greater the risk reduction (diversification) benefit of
combining assets in a portfolio.
LOS 43.g
For each level of expected portfolio return, the portfolio that has the least risk is known
as a minimum-variance portfolio. Taken together, these portfolios form a line called the
minimum-variance frontier.
On a risk versus return graph, the one risky portfolio that is farthest to the left (has the
least risk) is known as the global minimum-variance portfolio.
Those portfolios that have the greatest expected return for each level of risk make up the
efficient frontier. The efficient frontier coincides with the top portion of the minimum
variance frontier. Risk-averse investors would only choose a portfolio that lies on the
efficient frontier.
LOS 43.h
An indifference curve plots combinations of risk and expected return that an investor
finds equally acceptable. Indifference curves generally slope upward because risk-averse
investors will only take on more risk if they are compensated with greater expected
returns. A more risk-averse investor will have steeper indifference curves.
Flatter indifference curves (less risk aversion) result in an optimal portfolio with higher
risk and higher expected return. An investor who is less risk averse will optimally choose
a portfolio with more invested in the risky asset portfolio and less invested in the riskfree asset.
©20 15 Kaplan, Inc.
Page 155
Study Session 12
Cross-Reference to CFA Institute Assigned Reading #43 - Portfolio Risk and Return: Part I
1.
ncA
An investor buys a share of stock for $40 at time t == 0, buys another share of
the same stock for $50 at t == 1, and sells both shares for $60 each at t == 2. The
stock paid a dividend of $1 per share at t == 1 and at t == 2. The periodic moneyweighted rate of return on the investment is closest to:
A. 22.20/0.
B. 23.00/0.
c. 23.80/0.
utsromleca
2.
Which of the following asset classes has historically had the highest returns and
standard deviation?
A. Small-cap stocks.
B. Large-cap stocks.
C. Long-term corporate bonds.
3.
In a 5-year period, the annual returns on an investment are 50/0,-30/0, -40/0, 20/0,
and 60/0.The standard deviation of annual returns on this investment is closest
to:
A. 4.00/0.
B. 4.50/0.
C. 20.70/0.
B
Page 156
4.
A measure of how the returns of two risky assets move in relation to each other
is the:
A. range.
B. covariance.
C. standard deviation.
5.
Which of the following statements about correlation is least accurate?
A. Diversification reduces risk when correlation is less than + 1.
B. If the correlation coefficient is 0, a zero variance portfolio can be
constructed.
C. The lower the correlation coefficient, the greater the potential benefits from
diversification.
6.
The variance of returns is 0.09 for Stock A and 0.04 for Stock B. The covariance
between the returns of A and B is 0.006. The correlation of returns between A
and B is:
A. 0.10.
B. 0.20.
C. 0.30.
7.
Which of the following statements about risk-averse investors is most accurate? A
risk-averse investor:
A. seeks out the investment with minimum risk, while return is not a major
consideration.
B. will take additional investment risk if sufficiently compensated for this risk.
C. avoids participating in global equity markets.
©2015 Kaplan, Inc.
Study Session 12
Cross-Reference to CFA Institute Assigned Reading #43 - Portfolio Risk and Return: Part I
Use the following data to answer Questions 8 and 9.
A portfolio was created by investing 250/0of the funds in Asset A (standard deviation
150/0)and the balance of the funds in Asset B (standard deviation = 100/0).
=
8.
If the correlation coefficient is 0.75, what is the portfolio's standard deviation?
A. 10.60/0.
B. 12.40/0.
C. 15.00/0.
9.
If the correlation coefficient is -0.75, what is the portfolio's standard deviation?
A. 2.80/0.
B. 4.20/0.
C. 5.30/0.
10.
Which of the following statements about covariance and correlation is least
accurate?
A. A zero covariance implies there is no linear relationship between the returns
on two assets.
B. If two assets have perfect negative correlation, the variance of returns for a
portfolio that consists of these two assets will equal zero.
C. The covariance of a 2-stock portfolio is equal to the correlation coefficient
times the standard deviation of one stock's returns times the standard
deviation of the other stock's returns.
11.
Which of the following available portfolios most likely falls below the efficient
frontier?
Expected
Expected
Portfolio
return
standard deviation
7%
A. A
140/0
9%
B. B
260/0
C. C
120/0
220/0
yutsromlkieca
B
12.
The capital allocation line is a straight line from the risk-free asset through the:
A. global maximum-return portfolio.
B. optimal risky portfolio.
C. global minimum-variance portfolio.
©20 15 Kaplan, Inc.
Page 157
Study Session 12
Cross-Reference to CFA Institute Assigned Reading #43 - Portfolio Risk and Return: Part I
1.
C
Using the cash flow functions on your financial calculator, enter CFOfA= -40; CFl
=
-50
+ 1 = -49; CF2 = 60 x 2 + 2 = 122; CPT IRR = 23.820/0.
2.
A
Small-cap stocks have had the highest annual return and standard deviation of return
over time. Large-cap stocks and bonds have historically had lower risk and return than
small-cap stocks.
3.
B
Mean annual return
=
(5% - 3% - 40/0 + 20/0 + 6%) / 5
=
1.20/0
Squared deviations from the mean:
3.82 = 14.44
-4.22 = 17.64
-5.22 = 27.04
0.82 = 0.64
4.82 = 23.04
50/0- 1.2% = 3.8%
-3% -1.2% = -4.20/0
-4% -1.2% = -5.20/0
20/0-1.2% = 0.8%
60/0-1.2% = 4.8%
Sum of squared deviations
Sample variance
=
=
14.44 + 17.64 + 27.04 + 0.64 + 23.04
82.8 / (5 - 1)
Sample standard deviation
=
82.8
20.7
=J 20.71/2
=
4.55%
4.
B
The covariance is defined as the co-movement of the returns of two assets or how well
the returns of two risky assets move together. Range and standard deviation are measures
of dispersion and measure risk, not how assets move together.
5.
B
A zero-variance portfolio can only be constructed if the correlation coefficient between
assets is -1. Diversification benefits can be had when correlation is less than +1, and the
lower the correlation, the greater the potential benefit.
6. A
-fA = -J0.09
= 0.30
-JB = .j0.04
= 0.20
Correlation
0.006 / [(0.30)(0.20)]
jJ
=
=
0.10
7.
B
Risk-averse investors are generally willing to invest in risky investments, if the return of
the investment is sufficient to reward the investor for taking on this risk. Participants in
securities markets are generally assumed to be risk-averse investors.
8.
A
~(0.25)2(0.15)2 + (0.75)2(0.10)2 + 2(0.25)(0.75)(0.15)(0.10)(0.75)
.J0.001406 + 0.005625 +0.004219
9.
C
=
= .J0.01125 = 0.106 = 10.60/0
~(0.25)2 (0.15)2 + (0.75)2 (0.10)2 + 2(0.25)(0.75)(0.15)(0.10)(
-0.75) =
.J0.001406 + 0.005625 - 0.004219 = .J0.002812 = 0.053 = 5.3%
Page 158
=
©2015 Kaplan, Inc.
Study Session 12
Cross- Reference to CFA Institute Assigned Reading #43 - Portfolio Risk and Return: Part I
10. B
If the correlation of returns between the two assets is -1, the set of possible portfolio
risk/return combinations becomes two straight lines (see Figure 2). A portfolio of these
two assets will have a positive returns variance unless the portfolio weights are those
that minimize the portfolio variance. Covariance is equal to the correlation coefficient
multiplied by the product of the standard deviations of the returns of the two stocks in
a 2-stock portfolio. If covariance is zero, then correlation is also zero, which implies that
there is no linear relationship between the two stocks' returns.
11. B
Portfolio B must be the portfolio that falls below the Markowitz efficient frontier
because there is a portfolio (Portfolio C) that offers a higher return and lower risk.
12. B
An investor's optimal portfolio will lie somewhere on the capital allocation line, which
begins at the risk-free asset and runs through the optimal risky portfolio.
©20 15 Kaplan, Inc.
Page 159
The following is a review of the Portfolio Management principles designed to address the learning
outcome statements set forth by CFA Institute. Cross-Reference to CFA Institute Assigned Reading #44.UTSRPONLKIFEDA
PORTFOLIO RISK AND RETURN: PART
I
II
Study Session 12XMEBA
EXAM Focus
The concepts developed here are very important to finance theory and are also used
extensively in practice. You must know this material completely-not
only the
formulas and definitions, but the ideas that underlie their use. A model assumption
that diversification is costless leads to the conclusion that only systematic risk (which
cannot be reduced by further diversification) is priced in equilibrium, so that bearing
nonsystematic risk does not increase expected returns.
LOS 44.a: Describe the implications of combining a risk-free asset with a
portfolio of risky assets.
urpomligecaWVPCA
CPA ® Program Curriculum, Volume 4, page 390
In the previous topic review, we covered the mathematics of calculating the risk and
return of a portfolio with a percentage weight of WA invested in a risky portfolio (P) and
a weight ofW B = 1 - WA invested in a risk-free asset.
Because a risk-free asset has zero standard deviation and zero correlation of returns with
a risky portfolio, allowing Asset B to be the risk-free asset and Asset A to be the risky
asset portfolio results in the following reduced equation:
O"p = ~WXO"~
= WAO"A
Our result is that the risk (standard deviation of returns) and expected return of
portfolios with varying weights in the risk-free asset and a risky portfolio can be
plotted as a line that begins at the risk-free rate of return and extends through the risky
portfolio. This result is illustrated in Figure 1.
Page 160
©2015 Kaplan, Inc.
Study Session 12
Cross-Reference to CFA Institute Assigned Reading #44 - Portfolio Risk and Return: Part II
Figure 1: Combining a Risk-Free Asset with a Risky Asset
oEA
E(~)
~
Risky AssetRE
E(Rportfolio.) - -- - -- - -- -- - -- -- - -- -- - -- -- - -- -- - -
Portfolio with WA
Invested in the
Risky Asset
n,
~
Risk-Free AssetrocW
~----------------------~-----------------------cr
o
oportfolio =Wcr
A A
LOS 44.b: Explain the capital allocation line (CAL) and the capital market line
(CML).
urpomligecaVPFCA
CFA® Program Curriculum, Volume 4, page 390
The line of possible portfolio risk and return combinations given the risk-free rate and
the risk and return of a portfolio of risky assets is referred to as the capital allocation
line (CAL). For an individual investor, the best CAL is the one that offers the mostpreferred set of possible portfolios in terms of their risk and return. Figure 2 illustrates
three possible investor CALs for three different risky portfolios A, B, and C. The
optimal risky portfolio for this investor is Portfolio A because it results in the most
preferred set of possible portfolios constructed by combining the risk-free asset with the
risky portfolio. Of all the portfolios available to the investor, a combination of the riskfree asset with risky Portfolio A offers the investor the greatest expected utility.
©20 15 Kaplan, Inc.
Page 161
Study Session 12
Cross-Reference to CFA Institute Assigned Reading #44 - Portfolio Risk and Return: Part II
Figure 2: Risky Portfolios and Their Associated Capital Allocation Lines
RE
E(R)rc
~-------------------------------------------------cr
If each investor has different expectations about the expected returns of, standard
deviations of, or correlations between risky asset returns, each investor will have a
different optimal risky asset portfolio and a different CAL.
A simplifying assumption underlying modern portfolio theory (and the capital asset
pricing model, which is introduced later in this topic review) is that investors have
homogeneous expectations (i.e., they all have the same estimates of risk, return, and
correlations with other risky assets for all risky assets). Under this assumption, all
investors face the same efficient frontier of risky portfolios and will all have the same
optimal risky portfolio and CAL.
Figure 3 illustrates the determination of the optimal risky portfolio and optimal CAL
for all investors under the assumption of homogeneous expectations. Note that, under
this assumption, the optimal CAL for any investor is the one that is just tangent to the
efficient frontier. Depending on their preferences for risk and return (their indifference
curves), investors may choose different portfolio weights for the risk-free asset and the
risky (tangency) portfolio. Every investor, however, will use the same risky portfolio.
When this is the case, that portfolio must be the market portfolio of all risky assets
because all investors that hold any risky assets hold the same portfolio of risky assets.
Page 162
©2015 Kaplan, Inc.
Study Session 12
Cross-Reference to CFA Institute Assigned Reading #44 - Portfolio Risk and Return: Part II
Figure 3: Determining the Optimal Risky Portfolio and Optimal CAL Assuming
Homogeneous Expectations
pfRME
E(R)
Capital Market Line
Optimal Risky Portfolio
(Market Portfolio) ~
R frc
Efficient
Frontier
Risk-Free Asset
~-----------------------------------------------cr
Under the assumption of homogeneous expectations, this optimal CAL for all investors
is termed the capital market line (CML). Along this line, expected portfolio return,
E(Rp)' is a linear function of portfolio risk, O"p. The equation of this line is as follows:
pO
- R
E(Rp ) f
+
E(RM)-Rf
pfaR
apaM
aM
The y-intercept of this line is Rf and the slope (rise over run) of this line is as follows:
E(RM)-Rf
aM
The intuition of this relation is straightforward. An investor who chooses to take on no
risk (ap = 0) will earn the risk-free rate, Rf" The difference between the expected return
on the market and the risk-free rate is termed the market risk premium. If we rewrite
the CML equation as
E(Rp) = Rf
+ (E(RM) -
Rf)
ap
aM
we can see that an investor can expect to get one unit of market risk premium in
additional return (above the risk-free rate) for every unit of market risk, 0" M' that the
investor is willing to accept.
If we assume that investors can both lend (invest in the risk-free asset) at the riskfree rate and borrow (as with a margin account) at the risk-free rate, they can select
portfolios to the right of the market portfolio in Figure 3. An example will illustrate the
calculations.
©20 15 Kaplan, Inc.
Page 163
Study Session 12
Cross-Reference to CFA Institute Assigned Reading #44 - Portfolio Risk and Return: Part II
Example: Portfolio risk and return with borrowing and lending
Assume that the risk-free rate, Rf, is 50/0; the expected rate of return on the market,
ECRM), is 110/0; and that the standard deviation of returns on the market portfolio,
aM' is 200/0. Calculate the expected return and standard deviation of returns for
portfolios that are 250/0, 750/0, and 1250/0 invested in the market portfolio. We will use
RM to represent these portfolio weights.
fRM
feWRMI
a
Expected portfolio returns are calculated as ECRp) :::(I - WM) x R, + WM x ECRM), so
we have the following:
W M :::250/0:
ECRp)::: 0.75 x 50/0 + 0.25 x 11 % ::: 6.50/0
W M :::750/0:
ECRp)::: 0.25 x 50/0 + 0.75 x 11 % ::: 9.50/0
WM::: 125%: ECRp) :::-0.25
x 5% + 1.25 x 11 % ::: 12.5%
Portfolio standard deviation is calculated as (Jp :::W M x (JM' so we have the following:
(Jp ::: 0.25 x 200/0 ::: 50/0
(Jp ::: 0.75 x 200/0 ::: 150/0
(Jp::: 1.25 x 200/0 ::: 250/0
Figure 4: Borrowing and Lending Portfolios
ECR)
EC~) ::: 11 % f-------~--:-o\;-::\.o7'"S -------::::::::=:::~M
- - - - 1\.O:\.~~
~()\:~ -
\_.e
WM ::: 7 0/0
I
I
Rf-- 50/0
I
WM::: 250/0
(JM :::200/0
Page 164
©2015 Kaplan, Inc.
(J
Cross-Reference
Study Session 12
to CFA Institute Assigned Reading #44 - Portfolio Risk and Return: Part II
Note that with a weight (of investor assets) of 1250/0 in the market portfolio, the
investor borrows an amount equal to 25% of his portfolio assets at 50/0. An investor
with $10,000 would then borrow $2,500 and invest a total of $12,500 in the market
portfolio. This leveraged portfolio will have an expected return of 12.50/0 and standard
deviation of 250/0.
nA
Investors who believe market prices are informationally efficient often follow a passive
investment strategy (i.e., invest in an index of risky assets that serves as a proxy for the
market portfolio and allocate a portion of their investable assets to a risk-free asset, such
as short-term government securities). In practice, many investors and portfolio managers
believe their estimates of security values are correct and market prices are incorrect. Such
investors will not use the weights of the market portfolio but will invest more than the
market weights in securities that they believe are undervalued and less than the market
weights in securities which they believe are overvalued. This is referred to as active
portfolio management to differentiate it from a passive investment strategy that utilizes
a market index for the optimal risky asset portfolio.
LOS 44.c: Explain systematic and nonsystematic risk, including why
an investor should not expect to receive additional return for bearing
nonsystematic risk.
wvutsrqponmlkihgfedcbaVPNKCA
CPA ® Program Curriculum, Volume 4, page 402
When an investor diversifies across assets that are not perfectly correlated, the portfolio's
risk is less than the weighted average of the risks of the individual securities in the
portfolio. The risk that is eliminated by diversification is called unsystematic risk (also
called unique, diversifiable, or firm-specific risk). Because the market portfolio contains
all risky assets, it must be a well-diversified portfolio. All the risk that can be diversified
away has been. The risk that remains cannot be diversified away and is called the
systematic risk (also called nondiversifiable risk or market risk).
The concept of systematic risk applies to individual securities as well as to portfolios.
Some securities' returns are highly correlated with overall market returns. Examples of
firms that are highly correlated with market returns are luxury goods manufacturers
such as Ferrari automobiles and Harley Davidson motorcycles. These firms have high
systematic risk (i.e., they are very responsive to market, or systematic, changes). Other
firms, such as utility companies, respond very little to changes in the systematic risk
factors. These firms have very little systematic risk. Hence, total risk (as measured by
standard deviation) can be broken down into its component parts: unsystematic risk and
systematic risk. Mathematically:
total risk
==
systematic risk + unsystematic risk
Professor's Note: Know this concept!
Do you actually have to buy all the securities in the market to diversify away
unsystematic risk? No. Academic studies have shown that as you increase the number
of stocks in a portfolio, the portfolio's risk falls toward the level of market risk. One
©20 15 Kaplan, Inc.
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Study Session 12
Cross-Reference to CFA Institute Assigned Reading #44 - Portfolio Risk and Return: Part II
study showed that it only took about 12 to 18 stocks in a portfolio to achieve 900/0 of
the maximum diversification possible. Another study indicated it took 30 securities.
Whatever the number, it is significantly less than all the securities. Figure 5 provides a
general representation of this concept. Note, in the figure, that once you get to 30 or so
securities in a portfolio, the standard deviation remains constant. The remaining risk is
systematic, or nondiversifiable, risk. We will develop this concept later when we discuss
beta, a measure of systematic risk.
la
Figure 5: Risk vs. Number of Portfolio Assets
o (Risk)
Total Risk
unsystema~ic ~isk)
( + systematIc risk
Unsystematic Risk
Market
Riskt
(Omkt)
[=-~tL=~=-_-===::::==:::::::::===~,,-----_
t
Systematic Risk
t
Number of securities in the portfolio
:::::30
Systematic Risk is Relevant in Portfolios
One important conclusion of capital market theory is that equilibrium security returns
depend on a stock's or a portfolio's systematic risk, not its total risk as measured by
standard deviation. One of the assumptions of the model is that diversification is free.
The reasoning is that investors will not be compensated for bearing risk that can be
eliminated at no cost. If you think about the costs of a no-load index fund compared to
buying individual stocks, diversification is actually very low cost if not actually free.
The implications of this conclusion are very important to asset pricing (expected
returns). The riskiest stock, with risk measured as standard deviation of returns, does
not necessarily have the greatest expected return. Consider a biotech stock with one new
drug product that is in clinical trials to determine its effectiveness. If it turns out that
the drug is effective and safe, stock returns will be quite high. If, on the other hand, the
subjects in the clinical trials are killed or otherwise harmed by the drug, the stock will
fall to approximately zero and returns will be quite poor. This describes a stock with
high standard deviation of returns (i.e., high total risk).
The high risk of our biotech stock, however, is primarily from firm-specific factors, so
its unsystematic risk is high. Because market factors such as economic growth rates have
little to do with the eventual outcome for this stock, systematic risk is a small proportion
of the total risk of the stock. Capital market theory says that the equilibrium return on
this stock may be less than that of a stock with much less firm-specific risk but more
sensitivity to the factors that drive the return of the overall market. An established
manufacturer of machine tools may not be a very risky investment in terms of total risk,
Page 166
©20 15 Kaplan, Inc.
Cross-Reference
Study Session 12
to CFA Institute Assigned Reading #44 - Portfolio Risk and Return: Part II
but may have a greater sensitivity to market (systematic) risk factors (e.g., GDP growth
rates) than our biotech stock. Given this scenario, the stock with more total risk (the
biotech stock) has less systematic risk and will therefore have a lower equilibrium rate of
return according to capital market theory.
Note that holding many biotech firms in a portfolio will diversify away the firm-specific
risk. Some will have blockbuster products and some will fail, but you can imagine that
when 50 or 100 such stocks are combined into a portfolio, the uncertainty about the
portfolio return is much less than the uncertainty about the return of a single biotech
firm stock.
To sum up, unsystematic risk is not compensated in equilibrium because it can
be eliminated for free through diversification. Systematic risk is measured by the
contribution of a security to the risk of a well-diversified portfolio, and the expected
equilibrium return (required return) on an individual security will depend only on its
systematic risk.
LOS 44.d: Explain return generating models (including the market model) and
their uses.
usrpomligfecaVPCA
CPA ® Program Curriculum, Volume 4, page 404
Return generating models are used to estimate the expected returns on risky securities
based on specific factors. For each security, we must estimate the sensitivity of its
returns to each specific factor. Factors that explain security returns can be classified
as macroeconomic, fundamental, and statistical factors. Multifactor models most
commonly use macroeconomic factors such as GDP growth, inflation, or consumer
confidence, along with fundamental factors such as earnings, earnings growth, firm size,
and research expenditures. Statistical factors often have no basis in finance theory and
are suspect in that they may represent only relations for a specific time period which
have been identified by data mining (repeated tests on a single data set).
The general form of a multifactor model with k factors is as follows:
ki
E(Ri) - Rf;:;
mlkif
~il x
E(Factor 1) +
~i2x
E(Factor 2) + .... +
~ikx
E(Factor k)
This model states that the expected excess return (above the risk-free rate) for Asset i is
the sum of each factor sensitivity or factor loading (the f3s) for Asset i multiplied by the
expected value of that factor for the period. The first factor is often the expected excess
return on the market, E(Rm - Rf).
One multifactor model that is often used is that of Fama and French. They estimated the
sensitivity of security returns to three factors: firm size, firm book value to market value
ratio, and the return on the market portfolio minus the risk-free rate (excess return on
the market portfolio). Carhart suggests a fourth factor that measures price momentum
using prior period returns. Together, these four factors do a relatively good job of
explaining returns differences for u.S. equity securities over the period for which the
model has been estimated.
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Study Session 12
Cross-Reference to CFA Institute Assigned Reading #44 - Portfolio Risk and Return: Part II
The simplest factor model is a single-factor model. A single-factor model with the
return on the market, Rm, as its only risk factor can be written (in excess returns form) as:
Here, the expected excess return (return above the risk-free rate) is the product of the
factor weight or factor sensitivity, Beta i, and the risk factor, which in this model is the
excess return on the market portfolio or market index, so that this is also sometimes
called a single-index model.
A simplified form of a single-index model is the market model, which is used to estimate
a security's (or portfolio's) beta and to estimate a security's abnormal return (return above
its expected return) based on the actual market return.
The form of the market model is as follows:
omieVROC
R.1 =
0'..
1
+
A.. R
m
1-'1
+ e.1
where:
R,
Return on Asset i
~
= 11arket return
~i = Slope coefficient
O'.i = Intercept
e. = Abnormal return on Asset i
1
=
i
The intercept O'.iand slope coefficient ~i are estimated from historical return data. We
can require that O'.iis the risk-free rate times (1 - ~i) to be consistent with the general
form of a single-index model in excess returns form.
The expected return on Asset i is O'.i+ ~iE(Rm). A deviation from the expected return in
a given period is the abnormal return on Asset i, e., or R, - (o, + ~iRm).
In the market model, the factor sensitivity or beta for Asset i is a measure of how
sensitive the return on Asset i is to the return on the overall market portfolio (market
index).
LOS 44.e: Calculate and interpret beta.
usrpomligecaVPCA
CPA ® Program Curriculum, Volume 4, page 404
The sensitivity of an asset's return to the return on the market index in the context
of the market model is referred to as its beta. Beta is a standardized measure of the
covariance of the asset's return with the market return. Beta can be calculated as follows:
~.= covariance of Asset i's return with the market return = COVim
1
Page 168
variance of the market return
©2015 Kaplan, Inc.
(J'~
Cross-Reference
Study Session 12
to CFA Institute Assigned Reading #44 - Portfolio Risk and Return: Part II
We can use the definition of the correlation between the returns on Asset i with the
returns on the market index:
i
to get Covim = Pimaiam.
Substituting
for Covim in the equation for Bi' we can also calculate beta as:
yxwutsrqponmlihgfedcbaXSPNCB
13.= Pimaiam = p.
121mma
am
ai
am
Example: Calculating an asset's beta
The standard deviation of the return on the market index is estimated as 200/0.
1.
If Asset XS standard deviation is 300/0 and its correlation of returns with the
market index is 0.8, what is Asset Xs beta?
Using the formula 13i= Pim
a·
1,
am
2.
we have: 13.= 0.80 0.30 = 1.2.
1
0.20
If the covariance of Asset Xs returns with the returns on the market index is 0.048,
what is the beta of Asset A?
.
h cIA
Covim
h
A
0.048
U slng t e rormu a I-'i =
2
,we ave I-'i =
2 = 1.2.
am
0.2
Professor's Note: Candidates should be prepared to calculate beta in either of
the two ways in the example.
In practice, we estimate asset betas by regressing returns on the asset on those of the
market index. While regression is a Level II concept, for our purposes, you can think of
it as a mathematical estimation procedure that fits a line to a data plot. In Figure 5, we
represent the excess returns on Asset i as the dependent variable and the excess returns
on the market index as the independent variable. The least squares regression line is the
line that minimizes the sum of the squared distances of the points plotted from the line
(this is what is meant by the line of bestfit). The slope of this line is our estimate of beta.
In Figure 6, the line is steeper than 45 degrees, the slope is greater than one, and the
asset's estimated beta is greater than one. Our interpretation is that the returns on Asset i
are more variable in response to systematic risk factors than is the overall market, which
has a beta of one.
©20 15 Kaplan, Inc.
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Study Session 12
Cross-Reference to CFA Institute Assigned Reading #44 - Portfolio Risk and Return: Part II
Figure 6: Regression of Asset Excess Returns against Market Asset Returns
Asset
Excess
Return
Security
Characteristic
Line
•
•
•
(I\-Rf)
tmlfJID
•
•
•
•
•
•
B.1 = Slope =
•
COY·
2
lID
(Jm
•
•
0..
•
•
•
•
t
Market Excess Return (Rm-~)
This regression line is referred to as the asset's security characteristic line.
Mathematically, the slope of the security characteristic line is Covim which is the same
2 '
formula we used earlier to calculate beta.
(J m
LOS 44.£: Explain the capital asset pricing model (CAPM), including its
assumptions, and the security market line (SML).
urpomligecaVPCA
CPA ® Program Curriculum, Volume 4, page 411
Given that the only relevant (priced) risk for an individual Asset i is measured by the
covariance between the asset's returns and the returns on the market, Covi,mkt' we can
plot the relationship between risk and return for individual assets using Covi,mktas our
measure of systematic risk. The resulting line, plotted in Figure 7, is one version of what
is referred to as the security market line (SML).
i
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©2015 Kaplan, Inc.
Cross-Reference
Study Session 12
to CFA Institute Assigned Reading #44 - Portfolio Risk and Return: PartI II
Figure 7: Security Market Line
Security Market Line
(SML)
E(Rmkt) - - - - - - - - - - - -
Market
Porfolio
._---
COVrnkt, mkt= (J 2 mkt
Systematic Risk (COVi,mkt)
The equation of the SML is:
E ( Ri )
= RFR +
E (R
RFR (
rnkt ) -
2
COVi,rnkt
)
O"rnkt
which can be rearranged and stated as:
E(Ri)
=
COV· 1 k
RFR +
2 ,rn t [E(Rrnkt)
O"rnkt
- RFR]
The line described by this last equation is presented in Figure 8, where we let the
standardized covariance term,
Cov,
rnkt
2'
,
be defined as beta, f3j.
jf
O"rnkt
This is the most common means of describing the SML, and this relation between
beta (systematic risk) and expected return is known as the capital asset pricing model
(CAPM).
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Study Session 12
Cross-Reference to CFA Institute Assigned Reading #44 - Portfolio Risk and Return: PartI II
Figure 8: The Capital Asset Pricing Model
yrifRJE
E(R)
Securi ry Market Line
(SML)
E(Rmkt)
- - - - - - - - - - - -
+-----
Market Portfolio
Systematic Risk ( ~i)
So, we can define beta,
~=
COVi,mkt , as a standardized measure of systematic risk.
(J2
rnkt
Beta measures the relation between a security's excess returns and the excess returns to
the market portfolio.
Formally, the CAPM is stated as:
The CAPM holds that, in equilibrium, the expected return on risky asset E(Rj) is the
risk-free rate (Rf) plus a beta-adjusted market risk premium, ~j[E(Rmk() - Rf]. Beta
measures systematic (market or covariance) risk.
The assumptions
•
•
•
•
•
•
•
Page 172
of the CAPM are:
zyxvutsrponmlkihgedcbaUROHFDC
Risk aversion. To accept a greater degree of risk, investors require a higher expected
return.
Utility maximizing investors. Investors choose the portfolio, based on their individual
preferences, with the risk and return combination that maximizes their (expected)
utility.
Frictionless markets. There are no taxes, transaction costs, or other impediments to
trading.
One-period horizon. All investors have the same one-period time horizon.
Homogeneous expectations. All investors have the same expectations for assets'
expected returns, standard deviation of returns, and returns correlations between
assets.
Divisible assets.All investments are infinitely divisible.
Competitive markets. Investors take the market price as given and no investor can
influence prices with their trades.
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Study Session 12
Cross-Reference to CFA Institute Assigned Reading #44 - Portfolio Risk and Return: Part II
Comparing the CML and the SML
It is important to recognize that the CML and SML are very different. Recall the
equation of the CML:
The CML uses total risk = (J on the x-axis. Hence, only efficient portfolios will plot on
the CML. On the other hand, the SML uses beta (systematic risk) on the x-axis. So in a
CAPM world, all properly priced securities and portfolios of securities will plot on the SML,
as shown in Figure 9.
ywutsrponlihfedcaSML
Figure 9: Comparing
the CML and the SML
(a) Capital Market LinetRME
E(R)
CMLcBA
PIv! w/Iv!argin
\
·A
B
e
~ = 1
-------------------e-----•
•
••
t
c·
••
•
•aM
PM+ T-bills
aM
(b) Security Market Line
E(R)
SML
E(R
M
)
..
.. .... .. .... .. .... .... .. ..
..
..
Portfolios that are not well diversified (efficient) plot inside the efficient frontier and
are represented by risk-return combinations such as points A, B, and C in panel (a) of
Figure 9. Individual securities are one example of such inefficient portfolios. According
to the CAPM, the expected returns on all portfolios, well diversified or not, are
©20 15 Kaplan, Inc.
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Study Session 12
Cross-Reference to CFA Institute Assigned Reading #44 - Portfolio Risk and Return: Part II
determined by their systematic risk. Thus, according to the CAPM, Point A represents
a high-beta stock or portfolio, Point B a stock or portfolio with a beta of one, and Point
C a low-beta stock or portfolio. We know this because the expected return at Point B
is equal to the expected return on the market, and the expected returns at Point A and
C are greater and less than the expected return on the market (tangency) portfolio,
respectively.
Note that a low-beta stock, such as represented by Point C, is not necessarily low-risk
when total risk is considered. While its contribution to the risk of a well-diversified
portfolio may be low, its risk when held by itself can be considered quite high. A
firm whose only activity is developing a new, but as yet unproven, drug may be quite
speculative with highly uncertain returns. It may also have quite low systematic risk if
the uncertainty about its future returns depends primarily on firm-specific factors.
All stocks and portfolios that plot along the line labeled ~ == 1 in Figure 9 have the same
expected return as the market portfolio and, thus, according to the CAPM, have the
same systematic risk as the market portfolio (i.e., they all have betas of one).
All points on the CML (except the tangency point) represent the risk-return
characteristics of portfolios formed by either combining the market portfolio with the
risk-free asset or borrowing at the risk-free rate in order to invest more than 1000/0 of
the portfolio's net value in the risky market portfolio (investing on margin). Point D
in Figure 9 represents a portfolio that combines the market portfolio with the risk-free
asset, while points above the point of tangency, such as Point E, represent portfolios
created by borrowing at the risk-free rate to invest in the market portfolio. Portfolios
that do not lie on the CML are not efficient and therefore have risk that will not be
rewarded with higher expected returns in equilibrium.
According to the CAPM, all securities and portfolios, diversified or not, will plot on
the SML in equilibrium. In fact, all stocks and portfolios along the line labeled ~ == 1 in
Figure 9, including the market portfolio, will plot at the same point on the SML. They
will plot at the point on the SML with beta equal to one and expected return equal to
the expected return on the market, regardless of their total risk.
LOS 44.g: Calculate and interpret the expected return of an asset using the
CAPM.
urpomligecaVPFCA
CFA® Program Curriculum, Volume 4, page 414
The CAPM is one of the most fundamental concepts in investment theory. The CAPM
is an equilibrium model that predicts the expected return on a stock, given the expected
return on the market, the stock's beta coefficient, and the risk-free rate.
Page 174
©2015 Kaplan, Inc.
Cross-Reference
Study Session 12
to CFA Institute Assigned Reading #44 - Portfolio Risk and Return: Part II
Example: Capital asset pricing model
The expected return on the market is 150/0, the risk-free rate is 80/0, and the beta for
Stock A is 1.2. Compute the rate of return that would be expected (required) on this
stock.
Answer:
E(RA)
BA
=
0.08 + 1.2 (0.15 - 0.08)
Note: (3A > 1, so E(RA) > E(~kt)
=
0.164
wutsrponmlihgfecaVPNKFCA
Professor'sNote: Know this calculation!
Example: Capital asset pricing model
The expected return on the market is 15%, the risk-free rate is 80/0, and the beta for
Stock B is 0.8. Compute the rate of return that would be expected (required) on this
stock.
Answer:
E(RB)= 0.08 + 0.8 (0.15 - 0.08) = 0.136
Note: Beta < 1 so E(RB) < E(Rmkt)
LOS 44.h: Describe and demonstrate
applications
of the CAPM and the SML.
CFA ® Program Curriculum, Volume 4, page 416
We have used beta to estimate a security's expected return based on our estimate of the
risk-free rate and the expected return on the market. In equilibrium, a security's expected
return and its required return (by investors) are equal. Therefore, we can use the CAPM
to estimate a security's required return, as in the following example.
Example: Using beta to estimate a required return
Acme, Inc., has a capital structure that is 400/0 debt and 60% equity. The expected
return on the market is 120/0, and the risk-free rate is 40/0. What discount rate should
an analyst use to calculate the NPV of a project with an equity beta of 0.9 if the firm's
after-tax cost of debt is 50/0?
Answer:
The required return on equity for this project is 0.04 + 0.9(0.12 - 0.04)
=
11.20/0.
The appropriate discount rate is a weighted average of the costs of debt and equity for
this project, 0.4(50/0) + 0.6(11.2%) = 8.720/0.
©20 15 Kaplan, Inc.
Page 175
Study Session 12
Cross-Reference to CFA Institute Assigned Reading #44 - Portfolio Risk and Return: Part II
Because the SML shows the equilibrium (required) return for any security or portfolio
based on its beta (systematic risk), analysts often compare their forecast of a security's
return to its required return based on its beta risk. The following example illustrates this
technique.
Example: Identifying mispriced securities
The following figure contains information based on analyst's forecasts for three stocks.
Assume a risk-free rate of 70/0 and a market return of 150/0. Compute the expected
and required return on each stock, determine whether each stock is undervalued,
overvalued, or properly valued, and outline an appropriate trading strategy.
Forecast Data
ywvutsrqponlkiedcbaYTSRPFEDB
Stock
Price Today
E(Price} in 1 Year
E(Dividend} in 1 Year
Beta
A
$25
$27
$1.00
1.0
B
40
45
2.00
0.8
C
15
17
0.50IBA
1.2
Answer:
Expected and required returns computations are shown in the following figure.
Forecasts vs. Required Returns
Stock
Forecast Return
Required Return
A
($27 - $25 + $1)I I $25
=
12.0%
0.07 + (1.0)(0.15 - 0.07)
=
15.0%
B
($45 - $40 + $2) I $40
=
17.50/0
0.07 + (0.8)(0.15 - 0.07)
=
13.4%
C
($17 - $15 + $0.5) I $15
0.07 + (1.2)(0.15 - 0.07)
=
16.6%
=
16.60/0
I
•
•
•
Stock A isovervalued. It is expected to earn 120/0, but based on its systematic risk,
it should earn 150/0. It plots below the SML.
Stock B isundervalued. It is expected to earn 17.5%, but based on its systematic
risk, it should earn 13.40/0. It plots above the SML.
Stock C isproperly valued. It is expected to earn 16.60/0, and based on its
systematic risk, it should earn 16.60/0. It plots on the SML.
The appropriate trading strategy is:
•
•
•
Short sell Stock A.
Buy Stock B.
Buy, sell, or ignore Stock C.
We can do this same analysis graphically. The expected return/beta combinations of
all three stocks are graphed in the following figure relative to the SML.
Page 176
©2015 Kaplan, Inc.
Study Session 12
Cross-Reference to CFA Institute Assigned Reading #44 - Portfolio Risk and Return: Part II
Identifying
Mispriced Securities
fRECB
E(R)
B
•
SML
C
•
7
beta risk
0.8
Professor's Note:
"under" valued.
"over" valued.
1.2yxvutsrponmlkihfedcaSPNML
1
fI
If the estimated
If the estimated
return plots "over" the SML, the security is
return plots "under" the SML, the security is
Remember, all stocks should plot on the SML; any stock not plotting on the SML
is mispriced. Notice that Stock A falls below the SML, Stock B lies above the SML,
and Stock C is on the SML. If you plot a stock's expected return and it falls below the
SML, the stock is overpriced. That is, the stock's expected return is too low given its
systematic risk. If a stock plots above the SML, it is underpriced and is offering an
expected return greater than required for its systematic risk. If it plots on the SML,
the stock is properly priced.
Because the equation of the SML is the capital asset pricing model, you can determine
if a stock is over- or underpriced graphically or mathematically. Your answers will
always be the same.
When we evaluate the performance of a portfolio with risk that differs from that of a
benchmark, we need to adjust the portfolio returns for the risk of the portfolio. There
are several measures of risk-adjusted returns that are used to evaluate relative portfolio
performance.
One such measure is the Sharpe ratio
Rp - Rf
•
<Jp
The Sharpe ratio of a portfolio is its excess returns per unit of total portfolio risk, and
higher Sharpe ratios indicate better risk-adjusted portfolio performance. Note that this
is a slope measure and, as illustrated in Figure 9, the Sharpe ratios of all portfolios along
the CML are the same. Because the Sharpe ratio uses total risk, rather than systematic
risk, it accounts for any unsystematic risk that the portfolio manager has taken. Note
that the value of the Sharpe ratio is only useful for comparison with the Sharpe ratio of
another portfolio.
©20 15 Kaplan, Inc.
Page 177
Study Session 12
Cross-Reference to CFA Institute Assigned Reading #44 - Portfolio Risk and Return: PartI IIvutsrponihfedcaSQPNMJ
Professor'sNote: We introduced the Sharpe ratio in Quantitative Methods.
eW
In Figure 10, we illustrate that the Sharpe ratio is the slope of the CAL for the portfolio
and can be compared to the slope of the CML, which is the Sharpe ratio for any
portfolio along the CML.
Figure 10: Sharpe Ratios as Slopes
E(R)
R1)2
-
R,
CML slope =
CAL slope = ---'-'''---------'pfRMJIE
CYp2
RI'2
R
M
-R
CYM
f
Rpl-Rf
CYPI
P2
• • • • • • • • • • • •I •
I
I
I
I
I
I
I
I
I
The M-squared (M2) measure produces the same portfolio rankings as the Sharpe ratio
but is stated in percentage terms. It is calculated as (Rp -Rf) (JM -(RM -Rf).
(Jp
The intuition of this measure is that the first term is the excess return on a Portfolio
P*, constructed by taking a leveraged position in Portfolio P so that P* has the same
total risk, (J M' as the market portfolio. As shown in Figure 11, the excess return on such
a leveraged portfolio is greater than the return on the market portfolio by the vertical
distance M2.
Page 178
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Study Session 12
Cross-Reference to CFA Institute Assigned Reading #44 - Portfolio Risk and Return: PartPI II
Figure 11: M-squared
for a PortfolioRE
E(R)
- - - - - - - - - - - - - - - - - - - . P*pfRMJIE
I
I
I~
I
I
I
I
I
I
---------
:M
I
I
I
I
I
I
I
I
I
I
I
(J
(Jp
(JM
Two measures of risk-adjusted returns based on systematic
risk are the Treynor measure and Jensen's alpha. They are
and M2 in that the Treynor measure is based on slope and
percentage returns in excess of those from a portfolio that
the SML.
The Treynor measure is calculated as
Rp - Rf
~--~
risk (beta) rather than total
similar to the Sharpe ratio
Jensen's alpha is a measure of
has the same beta but lies on
, interpreted
as excess returns per
~p
unit of systematic risk, and represented by the slope of a line as illustrated in Figure 12.
Jensen's alpha for Portfolio P is calculated as ap= Rp - [R, + ~P(RM - Rf)] and is the
percentage portfolio return above that of a portfolio (or security) with the same beta as
the portfolio that lies on the SML, as illustrated in Figure 12.
Figure 12: Treynor Measure and Jensen's Alpha
E(R)
slope
=
Treynor measure for Portfolio P
SML
R,
_
Jensen's alpha
n,
~p
1
Whether risk adjustment should be based on total risk or systematic risk depends on
whether a fund bears the nonsystematic risk of a manager's portfolio. If a single manager
is used, then the total risk (including any nonsystematic risk) is the relevant measure and
©20 15 Kaplan, Inc.
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Study Session 12
Cross-Reference to CFA Institute Assigned Reading #44 - Portfolio Risk and Return: Part II
risk adjustment using total risk, as with the Sharpe and M2 measures, is appropriate. If a
fund uses multiple managers so that the overall fund portfolio is well diversified (has no
nonsystematic risk), then performance measures based on systematic (beta) risk, such as
the Treynor measure and Jensen's alpha, are appropriate.
These measures of risk-adjusted returns are often used to compare the performance of
actively managed funds to passively managed funds. Note in Figures 10 and 11 that
portfolios that lie above the CML have Sharpe ratios greater than those of any portfolios
along the CML and have positive M2 measures. Similarly, in Figure 12, we can see
that portfolios that lie above the SML have Treynor measures greater than those of any
security or portfolio that lies along the SML and also have positive values for Jensen's
alpha.
One final note of caution is that estimating the values needed to apply these theoretical
models and performance measures is often difficult and is done with error. The expected
return on the market, and thus the market risk premium, may not be equal to its average
historical value. Estimating security and portfolio betas is done with error as well.
Page 180
©2015 Kaplan, Inc.
Study Session 12
Cross-Reference to CFA Institute Assigned Reading #44 - Portfolio Risk and Return: Part II
LOS 44.a
The availability of a risk-free asset allows investors to build portfolios with superior
risk-return properties. By combining a risk-free asset with a portfolio of risky assets, the
overall risk and return can be adjusted to appeal to investors with various degrees of risk
rpnmiRA
•
aversion.
LOS 44.h
On a graph of return versus risk, the various combinations of a risky asset and the riskfree asset form the capital allocation line (CAL). In the specific case where the risky asset
is the market portfolio, the combinations of the risky asset and the risk-free asset form
the capital market line (CML).
LOS 44.c
Systematic (market) risk is due to factors, such as GDP growth and interest rate
changes, that affect the values of all risky securities. Systematic risk cannot be reduced
by diversification. Unsystematic (firm-specific) risk can be reduced by portfolio
diversification.
Because one of the assumptions underlying the CAPM is that portfolio diversification
to eliminate unsystematic risk is costless, investors cannot increase expected equilibrium
portfolio returns by taking on unsystematic risk.
LOS 44.d
A return generating model is an equation that estimates the expected return of an
investment, based on a security's exposure to one or more macroeconomic, fundamental,
or statistical factors.
The simplest return generating model is the market model, which assumes the return on
an asset is related to the return on the market portfolio in the following manner:
R.1 == a.1 + A.R
+ e.1
1-'1 m
LOS 44.e
Beta can be calculated using the following equation:
A.
1-'1
= [Cov(Ri,Rm)] = Pi,mai
2ma
am
am
where [Cov(Ri,Rm)] and p.r.rn are the covariance and correlation between the asset
and the market, and a i and am are the standard deviations of asset returns and market
returns.
a
The theoretical average beta of stocks in the market is 1. A beta of zero indicates that a
security's return is uncorrelated with the returns of the market.
©20 15 Kaplan, Inc.
Page 181
Study Session 12
Cross-Reference to CFA Institute Assigned Reading #44 - Portfolio Risk and Return: Part II
LOS 44.f
The
•
•
•
•
•
•
capital asset pricing model (CAPM) requires several assumptions:
Investors are risk averse, utility maximizing, and rational.
Markets are free of frictions like costs and taxes.
All investors plan using the same time period.
All investors have the same expectations of security returns.
Investments are infinitely divisible.
Prices are unaffected by an investor's trades.
The security market line (SML) is a graphical representation of the CAPM that plots
expected return versus beta for any security.
LOS 44.g
The CAPM relates expected return to the market factor (beta) using the following
formula:
LOS 44.h
The CAPM and the SML indicate what a security's equilibrium required rate of return
should be based on the security's exposure to market risk. An analyst can compare his
expected rate of return on a security to the required rate of return indicated by the SML
to determine whether the security is overvalued, undervalued, or properly valued.
The Sharpe ratio measures excess return per unit of total risk and is useful for comparing
portfolios on a risk-adjusted basis. The M-squared measure provides the same portfolio
rankings as the Sharpe ratio but is stated in percentage terms:
Sharpe ratio
Rp - Rf
«pfRM
O"p
Mvsquared
«
O"M
(Rp-Rf)
-(RM -Rf)
O"p
The Treynor measure measures a portfolio's excess return per unit of systematic risk.
Jensen's alpha is the difference between a portfolio's return and the return of a portfolio
on the SML that has the same beta:
Treynor measure ;:;
Rp-
Rf
~p
Page 182
©2015 Kaplan, Inc.
Study Session 12
Cross-Reference to CFA Institute Assigned Reading #44 - Portfolio Risk and Return: Part II
1.
nA
An investor put 600/0 of his portfolio into a risky asset offering a 100/0 return
with a standard deviation of returns of 80/0 and put the balance of his portfolio
in a risk-free asset offering 50/0. What is the expected return and standard
deviation of his portfolio?
Expected return
Standard deviation
A. 6.00/0
6.80/0
B. 8.00/0
4.80/0
C. 10.00/0
6.60/0
2.
What is the risk measure associated with the capital market line (CML)?
A. Beta risk.
B. Unsystematic risk.
C. Total risk.
3.
A portfolio to the right of the market portfolio on the CML is:
A. a lending portfolio.
B. a borrowing portfolio.
C. an inefficient portfolio.
4.
As
A.
B.
C.
5.
Total risk equals:
A. unique plus diversifiable risk.
B. market plus nondiversifiable risk.
C. systematic plus unsystematic risk.
6.
A return generating model is least likely to be based on a security's exposure to:
A. statistical factors.
B. macroeconomic factors.
C. fundamental factors.
7.
The covariance of the market's returns with a stock's returns is 0.005 and the
standard deviation of the market's returns is 0.05. What is the stock's beta?
A. 1.0.
B. 1.5.
C. 2.0.
8.
The covariance of the market's returns with the stock's returns is 0.008. The
standard deviation of the market's returns is 0.08, and the standard deviation of
the stock's returns is 0.11. What is the correlation coefficient of the returns of
the stock and the returns of the market?
A. 0.91.
B. 1.00.
C. 1.25.
the number of stocks in a portfolio increases, the portfolio's systematic risk:
can increase or decrease.
decreases at a decreasing rate.
decreases at an increasing rate.
ytslkiea
©20 15 Kaplan, Inc.
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Study Session 12
Cross-Reference to CFA Institute Assigned Reading #44 - Portfolio Risk and Return: Part II
Page 184
9.
According to the CAPM, what is the expected rate of return for a stock with a
beta of 1.2, when the risk-free rate is 60/0 and the market rate of return is 120/0?
A. 7.20/0.
B. 12.00/0.
C. 13.20/0.
10.
According to the CAPM, what is the required rate of return for a stock with a
beta of 0.7, when the risk-free rate is 70/0 and the expected market rate of return
is 140/0?
A. 11.90/0.
B. 14.00/0.
C. 16.80/0.
11.
The risk-free rate is 60/0, and the expected market return is 15%. A stock with a
beta of 1.2 is selling for $25 and will pay a $1 dividend at the end of the year. If
the stock is priced at $30 at year-end, it is:
A. overpriced, so short it.
B. underpriced, so buy it.
C. underpriced, so short it.
12.
A stock with a beta of 0.7 currently priced at $50 is expected to increase in price
to $55 by year-end and pay a $1 dividend. The expected market return is 15%,
and the risk-free rate is 80/0. The stock is:
A. overpriced, so do not buy it.
B. underpriced, so buy it.
C. properly priced, so buy it.
13.
Which of the following statements about the SML and the CML is least
accurate?
A. Securities that plot above the SML are undervalued.
B. Investors expect to be compensated for systematic risk.
C. Securities that plot on the SML have no value to investors.
utsrleca
©2015 Kaplan, Inc.
Study Session 12
Cross-Reference to CFA Institute Assigned Reading #44 - Portfolio Risk and Return: Part II
1.
B
Expected return: (0.60 x 0.10)CA + (0.40 x 0.05)
Standard deviation: 0.60 x 0.08
=
=
0.08, or 8.0%.
0.048, or 4.8%.
2.
C
The capital market line (CML) plots return againstywvutsrponmlkiedcba
total risk which is measured by
standard deviation of returns.
3.
B
A portfolio to the right of a portfolio on the CML has more risk than the market
portfolio. Investors seeking to take on more risk will borrow at the risk-free rate to
purchase more of the market portfolio.
4.
A
When you increase the number of stocks in a portfolio, unsystematic risk will decrease
at a decreasing rate. However, the portfolio's systematic risk can be increased by adding
higher-beta stocks or decreased by adding lower-beta stocks.
5.
C
Total risk equals systematic plus unsystematic risk. Unique risk is diversifiable and is
unsystematic. Market (systematic) risk is nondiversifiable risk.
6
A
Macroeconomic,
return generating
statistical factors
and fundamental
7.
C
Beta
=
covariance / market variance
Market variance
Beta
=
fundamental, and statistical factor exposures can be included in a
model to estimate the expected return of an investment. However,
may not have any theoretical basis, so analysts prefer macroeconomic
factor models.
=
0.052
0.005 / 0.0025
=
=
0.0025
2.0
0.008
= 0.909
(0.08)(0.11)
8.
A
9.
C
6 + 1.2(12 - 6)
=
13.20/0
10. A
7 + 0.7(14 - 7)
=
11.90/0
11. B
Required rate
6
+
=
Return on stock
=
1.2(15 - 6)
(30 - 25
+
=
16.8%
1) / 25
=
240/0
Based on risk, the stock plots above the SML and is underpriced, so buy it.
12. A
Required rate
=
Return on stock
8
=
+
0.7(15 - 8)
=
12.9%
(55 - 50 + 1) / 50
=
120/0
The stock falls below the SML so it is overpriced.
13. C
Securities that plot on the SML are expected to earn their equilibrium rate of return
and, therefore, do have value to an investor and may have diversification benefits as well.
The other statements are true.
©20 15 Kaplan, Inc.
Page 185
The following is a review of the Portfolio Management principles designed to address the learning
outcome statements set forth by CFA Institute. Cross-Reference to CFA Institute Assigned Reading #45.UTSRPONLIGFDCBA
BASICS OF PORTFOLIO PLANNING AND
CONSTRUCTION
Study Session 12XMEA
EXAM Focus
There is nothing difficult here, but the material is important because it is the foundation
for the portfolio construction material at Level II and especially Level III. You should
be ready to explain why investment policy statements are created and what their major
components are. You should be familiar with the objectives (risk and return) and the
constraints: liquidity, legal, time horizon, tax treatment, and unique circumstances.
Know the difference between ability and willingness to take risk, the factors that define
an asset class, and how asset allocation is used in constructing portfolios.
LOS 45.a: Describe the reasons for a written investment policy statement
(IPS).
vutsrponmljihgfedcbaVSRPOIGDCA
CPA ® Program Curriculum, Volume 4, page 442
An investment manager is very unlikely to produce a good result for a client without
understanding that client's needs, circumstances, and constraints.
A written investment policy statement will typically begin with the investor's goals
in terms of risk and return. These should be determined jointly, as the goals of high
returns and low risk (while quite popular) are likely to be mutually exclusive in practice.
Investor expectations in terms of returns must be compatible with investor's tolerance
for risk (uncertainty about portfolio performance).
LOS 45.b: Describe the major components of an IPS.
CPA ® Program Curriculum, Volume 4, page 443
The major components of an IPS typically address the following:
•
•
•
•
•
•
•
Page 186
Description of Client circumstances, situation, and investment objectives.
Statement of the Purpose of the IPS.
Statement of Duties and Responsibilities of investment manager, custodian of assets,
and the client.
Proceduresto update IPS and to respond to various possible situations.
Investment Objectives derived from communications with the client.
Investment Constraints that must be considered in the plan.
Investment Guidelines such as how the policy will be executed, asset types permitted,
and leverage to be used.
©2015 Kaplan, Inc.
Study Session 12
Cross- Reference to CFA Institute Assigned Reading #45 - Basics of Portfolio Planning and ConstructionvutsrponmligfedcbaVP
•
•
Evaluation of Performance, the benchmark portfolio for evaluating investment
performance, and other information on evaluation of investment results.
Appendices containing information on strategic (baseline) asset allocation and
permitted deviations from policy portfolio allocations, as well as how and when the
portfolio allocations should be rebalanced.
In any case, the IPS will, at a minimum, contain a clear statement of client
circumstances and constraints, an investment strategy based on these, and some
benchmark against which to evaluate the account performance.
LOS 45.c: Describe risk and return objectives and how they may be developed
for a client.
CPA ® Program Curriculum, Volume 4, page 444
The risk objectives in an IPS may take several forms. An absolute risk objective might
be to "have no decrease in portfolio value during any 12-month period" or to "not
decrease in value by more than 20/0at any point over any 12-month period." Low
absolute percentage risk objectives such as these may result in portfolios made up of
securities that offer guaranteed returns (e.g., u.S. Treasury bills).
Absolute risk objectives can also be stated in terms of the probability of specific portfolio
results, either percentage losses or dollar losses, rather than strict limits on portfolio
results. Examples are as follows:
•
•
"No greater than a 50/0probability of returns below -50/0 ni any 12-month period."
"No greater than a 40/0probability of a loss of more than $20,000 over any
12-month period."
An absolute return objective may be stated in nominal terms, such as "an overall return
of at least 60/0per annum," or in real returns, such as "a return of 30/0more than the
annual inflation rate each year."
Relative risk objectives relate to a specific benchmark and can also be strict, such as,
"Returns will not be less than 12-month euro LIBOR over any 12-month period," or
stated in terms of probability, such as, "No greater than a 50/0probability of returns
more than 40/0below the return on the MSCI World Index over any 12-month period."
Return objectives can be relative to a benchmark portfolio return, such as, "Exceed
the return on the S&P 500 Index by 20/0per annum." For a bank, the return objective
may be relative to the bank's cost of funds (deposit rate). While it is possible for an
institution to use returns on peer portfolios, such as an endowment with a stated
objective to be in the top quartile of endowment fund returns, peer performance
benchmarks suffer from not being investable portfolios. There is no way to match this
investment return by portfolio construction before the fact.
In any event, the account manager must make sure that the stated risk and return
objectives are compatible, given the reality of expected investment results and
•
•
uncertainty over time.
©20 15 Kaplan, Inc.
Page 187
Study Session 12
Cross- Reference to CFA Institute Assigned Reading #45 - Basics of Portfolio Planning and Construction
LOS 45.d: Distinguish between the willingness and the ability (capacity) to
take risk in analyzing an investor's financial risk tolerance.
zyxwvutsrqponmlkihgfedcaWVUTSRPNLIFCA
CFA® Program Curriculum, Volume 4, page 445
An investor's ability to bear risk depends on financial circumstances. Longer investment
horizons (20 years rather than 2 years), greater assets versus liabilities (more wealth),
more insurance against unexpected occurrences, and a secure job all suggest a greater
ability to bear investment risk in terms of uncertainty about periodic investment
performance.
An investor's willingness to bear risk is based primarily on the investor's attitudes and
beliefs about investments (various asset types). The assessment of an investor's attitude
about risk is quite subjective and is sometimes done with a short questionnaire that
attempts to categorize the investor's risk aversion or risk tolerance.
When the adviser's assessments of an investor's ability and willingness to take investment
risk are compatible, there is no real problem selecting an appropriate level of investment
risk. If the investor's willingness to take on investment risk is high but the investor's
ability to take on risk is low, the low ability to take on investment risk will prevail in the
adviser's assessment.
In situations where ability is high but willingness is low, the adviser may attempt to
educate the investor about investment risk and correct any misconceptions that may be
contributing to the investor's low stated willingness to take on investment risk. However,
the adviser's job is not to change the investor's personality characteristics that contribute
to a low willingness to take on investment risk. The approach will most likely be to
conform to the lower of the investor's ability or willingness to bear risk, as constructing
a portfolio with a level of risk that the client is clearly uncomfortable with will not likely
lead to a good outcome in the investor's view.
LOS 45.e: Describe the investment constraints of liquidity, time horizon, tax
concerns, legal and regulatory factors, and unique circumstances and their
implications for the choice of portfolio assets.
CFA® Program Curriculum, Volume 4, page 450
Professor's Note: When I was studying for the CFA exams over 20 years ago, we
memorized R-R- T- T-L-L-U as a checklist for addressing the important points
of portfolio construction, and it still works today. Then, as now, the important
points to cover in an IPS were Risk, Return, Time horizon, Tax situation,
Liquidity, Legal restrictions, and the Unique constraints of a specific investor.
Investment constraints include the investor's liquidity needs, time horizon, tax
considerations, legal and regulatory constraints, and unique needs and preferences.
Page 188
©2015 Kaplan, Inc.
Study Session 12
Cross- Reference to CFA Institute Assigned Reading #45 - Basics of Portfolio Planning and Construction
Liquidity: Liquidity refers to the ability to turn investment assets into spendable cash
in a short period of time without having to make significant price concessions to do so.
Investor needs for money to pay tuition, to pay for a parent's assisted living expenses,
or to fund other possible spending needs may all require that some liquid assets be
held. As we noted in an earlier topic review discussing property and casualty insurance
companies, claims arrive unpredictably to some extent and therefore their portfolios
must hold a significant proportion of liquid (or maturing) securities in order to be
prepared to honor these claims. Illiquid investments in hedge funds and private equity
funds, which typically are not traded and have restrictions on redemptions, are not
suitable for an investor who may unexpectedly need access to the funds.
Time horizon: In general, the longer an investor's time horizon, the more risk and
less liquidity the investor can accept in the portfolio. While the expected returns on a
broad equities portfolio may not be too risky for an investor with a 20-year investment
horizon, they likely are too risky for an investor who must fund a large purchase at
the end of this year. For such an investor, government securities or a bank certificate
of deposit may be the most appropriate investments because of their low risk and high
liquidity at the time when the funds will be needed.
Tax:situation: Besides an individual's overall tax rate, the tax treatment of various types
of investment accounts is also a consideration in portfolio construction. For a fully
taxable account, investors subject to higher tax rates may prefer tax-free bonds (U.S.)
to taxable bonds or prefer equities that are expected to produce capital gains, which
are often taxed at a lower rate than other types of income. A focus on expected aftertax returns over time in relation to risk should correctly account for differences in tax
treatments as well as investors' overall tax rates.
Some types of investment accounts, such as retirement accounts, may be tax exempt or
tax deferred. Investors with such accounts may choose to put securities that generate
fully taxed income, such as corporate bond interest, in accounts that are tax deferred,
while seeking long-term capital gains, tax-exempt interest income, and dividend income
(in jurisdictions where dividends receive preferential tax treatment) in their personal
accounts, which have no tax deferral benefit.
Legal and regulatory: In addition to financial market regulations that apply to all
investors, more specific legal and regulatory constraints may apply to particular
investors. Trust, corporate, and qualified investment accounts may all be restricted
by law from investing in particular types of securities and assets. There may also be
restrictions on percentage allocations to specific types of investments in such accounts.
Corporate officers and directors face legal restrictions on trading in the securities of their
firms that the account manager should be aware of.
Unique circumstances: Each investor, whether individual or institutional, may have
specific preferences or restrictions on which securities and assets may be purchased for
the account. Ethical preferences, such as prohibiting investment in securities issued
by tobacco or firearms producers, are not uncommon. Restrictions on investments in
companies or countries where human rights abuses are suspected or documented would
also fall into this category. Religious preferences may preclude investment in securities
that make explicit interest payments. Unique investor preferences may also be based on
diversification needs when the investor's income depends heavily on the prospects for
©20 15 Kaplan, Inc.
Page 189
Study Session 12
Cross- Reference to CFA Institute Assigned Reading #45 - Basics of Portfolio Planning and Construction
one company or industry. An investor who has founded or runs a company may not
want any investment in securities issued by a competitor to that company.
LOS 45.f: Explain the specification of asset classes in relation to asset
allocation.
wutrponmlihgecbaVSPFCA
CFA® Program Curriculum, Volume 4, page 458
After having determined the investor objectives and constraints through the exercise of
creating an IPS, a strategic asset allocation is developed which specifies the percentage
allocations to the included asset classes. In choosing which asset classes to consider
when developing the strategic asset allocation for the account, the correlations of returns
within an asset class should be relatively high, indicating that the assets within the class
are similar in their investment performance. On the other hand, it is low correlations of
returns between asset classes that leads to risk reduction through portfolio diversification.
Historically, only the broad categories of equities, bonds, cash, and real estate were
considered. More recently, a group of several investable asset classes, referred to
collectively as alternative investments, has gained more prominence. Alternative
investment asset classes include hedge funds of various types, private equity funds,
managed or passively constructed commodity funds, artwork, and intellectual property
rights.
We can further divide equities by whether the issuing companies are domestic or foreign,
large or small, or whether they are traded in emerging or developed markets. An example
of specifying asset classes is world equities. A U.S. investor may want to divide world
equities into different regions. Figure 1 shows the correlation matrix, annualized returns,
and volatilities among four different regions and the United States.
Figure 1: World Equities Asset Class Correlation Matrix
Monthly Index Returns from MSCI Price Returns
10 Year Period from June 28, 2001, to June 29, 2012
1
2
3
5
1. MSCI USA
1.00
2. MSCI Emerging
Markets Europe
0.74
1.00
3. MSCI Emerging
Markets Asia
0.79
0.80
1.00
4. MSCI Emerging
Markets Latin America
0.79
0.85
0.82
1.00
5. MSCI Frontier
Markets Africa
0.35
0.41
0.33
0.34
1.00
Annualized Volatility
15.860/0
32.52%
24.54%
28.650/0
27.470/0
Annualized Return
3.440/0
11.20%
9.31%
17.010/0
9.330/0
Source: www.msci.com/products/indices/
Page 190
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Study Session 12
Cross- Reference to CFA Institute Assigned Reading #45 - Basics of Portfolio Planning and Construction
With bonds, we can divide the overall universe of bonds into asset classes based on
maturities or on criteria such as whether they are foreign or domestic, government or
corporate, or investment grade or speculative (high yield). Overall, the asset classes
considered should approximate the universe of permissible investments specified in the
IPS.
Once the universe of asset classes has been specified, the investment manager will collect
data on the returns, standard deviation of returns, and correlations of returns with those
of other asset classes for each asset class.
Figure 2 illustrates the strategic asset allocation for a pension fund.
Figure 2: Strategic Asset Allocation
The Vermont Pension Investment Committee manages about $3 billion in retirement
assets for various teachers and state and municipal employees in that state. VPIC's
investment policy specifies the following strategic asset allocation:
utsrponmligfecaVTPFCA
Asset Class
Target
0.00/0
Cash
u.s. large-cap
11.00/0
equity
U.S. small-/mid-cap
equity
Established international
equity
Emerging market equity
6.50/0
10.00/0
6.00/0
18.00/0
U.S. bonds
Global bonds
3.00/0
High-yield bonds
6.00/0
Emerging market debt
5.00/0
Inflation-protected
3.00/0
bonds
Real estate
4.50/0
Hedge funds
5.00/0
Private equity
0.00/0
Commodities
2.00/0
Global asset allocation and other
20.00/0
1000/0
Source: State of Vermont, Office of the State Treasurer. Target allocation as of March 31, 2012.
www.vermonttreasurer.gov/pension-funds.
LOS 45.g: Describe the principles of portfolio construction and the role of
asset allocation in relation to the IPS.
CFA® Program Curriculum, Volume 4, page 458
Once the portfolio manager has identified the investable asset classes for the portfolio
and the risk, return, and correlation characteristics of each asset class, an efficient frontier,
©20 15 Kaplan, Inc.
Page 191
Study Session 12
Cross- Reference to CFA Institute Assigned Reading #45 - Basics of Portfolio Planning and Construction
analogous to one constructed from individual securities, can be constructed using a
computer program. By combining the return and risk objectives from the IPS with the
actual risk and return properties of the many portfolios along the efficient frontier, the
manager can identify that portfolio which best meets the risk and return requirements of
the investor. The asset allocation for the efficient portfolio selected is then the strategic
asset allocation for the portfolio.
So far, we have not concerned ourselves with deviations from strategic asset allocations
or with selection of individual securities within individual asset classes. These activities
are referred to as active (versus passive) portfolio management strategies. A manager
who varies from strategic asset allocation weights in order to take advantage of perceived
short-term opportunities is adding tactical asset allocation to the portfolio strategy.
Security selection refers to deviations from index weights on individual securities within
an asset class. For example, a portfolio manager might overweight energy stocks and
underweight financial stocks, relative to the index weights for u.S. large-cap equities
as an asset class. For some asset classes, such as hedge funds, individual real estate
properties, and artwork, investable indexes are not available. For these asset classes,
selection of individual assets is required by the nature of the asset class.
While each of these active strategies may produce higher returns, they each also increase
the risk of the portfolio compared to a passive portfolio of asset class indexes. A
practice known as risk budgeting sets an overall risk limit for the portfolio and budgets
(allocates) a portion of the permitted risk to the systematic risk of the strategic asset
allocation, the risk from tactical asset allocation, and the risk from security selection.
Active portfolio management
has two specific issues to consider.
1. An investor may have multiple managers actively managing to the same benchmark
for the same asset class (or may have significant benchmark overlap). In this case, one
manager may overweight an index stock while another may underweight the same
stock. Taken together, there is no net active management risk, although each manager
has reported active management risk. Overall, the risk budget is underutilized as
there is less net active management than gross active management.
2. When all managers are actively managing portfolios relative to an index, trading may
be excessive overall. This extra trading could have negative tax consequences, specifically potentially higher capital gains taxes, compared to an overall efficient tax strategy.
One way to address these issues is to use a core-satellite approach. The core-satellite
approach invests the majority, or core, portion of the portfolio in passively managed
indexes and invests a smaller, or satellite, portion in active strategies. This approach
reduces the likelihood of excessive trading and offsetting active positions.
Clearly, the success of security selection will depend on the manager's skill and the
opportunities (mispricings or inefficiencies) within a particular asset class. Similarly,
the success of tactical asset allocation will depend both on the existence of short-term
opportunities in specific asset classes and on the manager's ability to identify them.
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Cross- Reference to CFA Institute Assigned Reading #45 - Basics of Portfolio Planning and Construction
LOS 45.a
A written investment policy statement, the first step in the portfolio management
process, is a plan for achieving investment success. An IPS forces investment
discipline and ensures that goals are realistic by requiring investors to articulate their
circumstances, objectives, and constraints.
nA
LOS 45.h
Many IPS include the following sections:
•
Introduction-Describes
the client.
•
Statement of Purpose-The
intentions of the IPS.
•
Statement of Duties and Responsibilities-Of
the client, ht e asset custodian, and the
•
Investment managers.
•
Procedures-Related
to keeping the IPS updated and responding to unforeseen
events.
•
Investment Objectives-The
client's investment needs, specified in terms of required
return and risk tolerance.
•
Investment Constraints-Factors
that may hinder the ability to meet investment
objectives; typically categorized as time horizon, taxes, liquidity, legal and regulatory,
and unique needs.
•
Investment Guidelines-For
example, whether leverage, derivatives, or specific kinds
of assets are allowed.
•
Evaluation and Review-Related to feedback on investment er sults.
•
Appendices-May specify the portfolio's strategic asset allocation (policy portfolio)
or the portfolio's rebalancing policy.
LOS 45.c
Risk objectives are specifications for portfolio risk that are developed to embody a
client's risk tolerance. Risk objectives can be either absolute (e.g., no losses greater than
100/0in any year) or relative (e.g., annual return will be within 20/0ofFTSE return).
Return objectives are typically based on an investor's desire to meet a future financial
goal, such as a particular level of income in retirement. Return objectives can be absolute
(e.g., 90/0annual return) or relative (e.g., outperform the S&P 500 by 20/0per year).
The achievability of an investor's return expectations may be hindered by the investor's
risk objectives.
LOS 45.d
Willingness to take financial risk is related to an investor's psychological factors, such as
personality type and level of financial knowledge.
Ability or capacity to take risk depends on financial factors, such as wealth relative to
liabilities, income stability, and time horizon.
A client's overall risk tolerance depends on both his ability to take risk and his
willingness to take risk. A willingness greater than ability, or vice versa, is typically
resolved by choosing the more conservative of the two and counseling the client.
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Cross- Reference to CFA Institute Assigned Reading #45 - Basics of Portfolio Planning and Construction
LOS 45.e
Investment constraints include:
•
Liquidity-The
need to draw cash from the portfolio for anticipated or unexpected
future spending needs. High liquidity needs often translate to a high portfolio
allocation to bonds or cash.
•
Time horizon-Often
the period over which assets are accumulated and before
withdrawals begin. Risky or illiquid investments may be inappropriate for an
investor with a short time horizon.
•
Tax considerations-Concerns
the tax treatments of the investor's various accounts,
the relative tax treatment of capital gains and income, and the investor's marginal tax
bracket.
•
Legal and regulatory-Constraints
such as government restrictions on portfolio
contents or laws against insider trading.
•
Unique circumstances-Restrictions
due to investor preferences (religious, ethical,
etc.) or other factors not already considered.
LOS 45.f
An asset class is a group of securities with similar risk and performance characteristics.
Examples of major asset classes include equity, fixed income, cash, and real estate.
Portfolio managers also use more narrowly defined asset classes, such as large-cap
U.S. equities or speculative international bonds, and alternative asset classes, such as
commodities or investments in hedge funds.
LOS 45.g
Strategic asset allocation is a set of percentage allocations to various asset classes that is
designed to meet the investor's objectives. The strategic asset allocation is developed by
combining the objectives and constraints in the IPS with the performance expectations
of the various asset classes. The strategic asset allocation provides the basic structure of a
portfolio.
Tactical asset allocation refers to an allocation that deviates from the baseline (strategic)
allocation in order to profit from a forecast of shorter-term opportunities in specific asset
classes.
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Cross-Reference to CFA Institute Assigned Reading #45 - Basics of Portfolio Planning and Construction
1.
The investment policy statement is most accurately considered the:
A. starting point of the portfolio management process.
B. key intermediate step in the portfolio management process.
c. end product of the portfolio management process.
yutsromlkieca
c
2.
The component of an investment
objectives is most likely to include
A. the investor's risk tolerance.
B. unique needs and preferences
C. permitted asset types and use
policy statement that defines the investment
information about:
of the investor.
of leverage in the investment account.
3.
A client exhibits an above-average willingness to take risk but a below-average
ability to take risk. When assigning an overall risk tolerance, the investment
adviser is most likely to assess the client's overall risk tolerance as:
A. above average.
B. average.
C. below average.
4.
Which of the following is least likely an example of a portfolio constraint?
A. Higher tax rate on dividend income than on capital gains.
B. Significant spending requirements in the near future.
C. Minimum total return requirement of 80/0.
5.
In determining the appropriate asset allocation for a client's investment account,
the manager should:
A. consider only the investor's risk tolerance.
B. incorporate forecasts of future economic conditions.
C. consider the investor's risk tolerance and future needs, but not forecasts of
market conditions.
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Page 196
1.
AnA An investment policy statement is considered to be the starting point of the portfolio
management process. The IPS is a plan for achieving investment success.
2.
A
Investment objectives are defined based on both the investor's return requirements and
risk tolerance. Investment constraints include the investor's time horizon, liquidity
needs, tax considerations, legal and regulatory requirements, and unique needs and
preferences. Policies regarding permitted asset types and the amount of leverage to use
are best characterized as investment guidelines.
3.
C
When assigning an overall risk tolerance, the prudent approach is to use the lower of
ability to take risk and willingness to take risk.
4.
C
Return objectives are part of a policy statement's objectives, not constraints.
5.
B
An adviser's forecasts of the expected returns and expected volatilities (risk) of different
asset classes are an important part of determining an appropriate asset allocation.
©2015 Kaplan, Inc.
8 questions: 12 minutes
utsqonmie
yxwvutsrqponmlkjihgfedcbaWTSRPMKICBA
1.
Which of the following activities is most likely to be performed as part of the
execution step of the portfolio management process?
A. Completion of the investment policy statement.
B. Top-down analysis based on macroeconomic conditions.
C. Rebalancing the portfolio to the desired asset class exposures.
2.
A manager who evaluates portfolios' investment performance adjusted for
systematic risk is most likely to rank portfolios based on their:
A. Sharpe ratios.
B. Treynor measures.
C. M-squared measures.
3.
According to the capital asset pricing model:
A. an investor who is risk averse should hold at least some of the risk-free asset
in his portfolio.
B. a stock with high risk, measured as standard deviation of returns, will have
high expected returns in equilibrium.
C. all investors who take on risk will hold the same risky-asset portfolio.
4.
Beta is best described as the:
A. slope of the security market line.
B. correlation of returns with those of the market portfolio.
C. covariance of returns with the market portfolio expressed in terms of the
variance of market returns.
5.
Which of the following risk management strategies is most accurately described
as shifting a risk?
A. A retail store owner buys a fire insurance policy on the building.
B. A farmer takes a short position in a futures contract to deliver wheat.
C. A portfolio manager diversifies her investments across different industries.
yutsromlkiecba
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Self-Test: Portfolio Management
6.
nA
An analyst has estimated that the returns for an asset, conditional on the
performance of the overall economy, are:
ywutsrponmlihecbaRPGE
Return
Probability
Economic Growth
5%
20%
Poor
10%
40%
Average
14%
40%
Good
The conditional expected returns on the market portfolio are:
Return
Probability
Economic Growth
2%
20%
Poor
10%
40%
Average
15%
40%
Good
According to the CAPM, if the risk-free rate is 50/0 and the risky asset has a beta
of 1.1, with respect to the market portfolio, the analyst should:
A. sell (or sell short) the risky asset because its expected return is less than
equilibrium expected return on the market portfolio.
B. buy the risky asset because the analyst expects the return on it to be higher
than its required return in equilibrium.
C. sell (or sell short) the risky asset because its expected return is not sufficient
to compensate for its systematic risk.
Page 198
7.
Portfolios that plot inside the minimum-variance frontier represent:
A. efficient portfolios.
B. inefficient portfolios.
C. unattainable portfolios.
8.
A written investment policy statement should most appropriately:
A. establish a target asset allocation strategy.
B. focus predominantly on a long-term time horizon.
C. ensure that risk objectives are consistent with required returns.
©2015 Kaplan, Inc.
Self-Test: Portfolio ManagementsTSRPONMLIGFEA
SELF-TEST
ANs
RS: PORTFOLIO MANAGEMENT
1.
B
The execution step of the portfolio management process typically begins with a topdown analysis of economic variables. The investment policy statement is completed
during the planning step. Asset class rebalancing is part of the feedback step.
2.
B
The Treynor measure is stated in terms of systematic (beta) risk. The Sharpe ratio and
M-squared measure are defined in terms of total risk (standard deviation).
3.
C
One of the assumptions of the CAPM is that all investors who hold risky assets will hold
the same portfolio of risky assets (the market portfolio). Risk aversion means an investor
will accept more risk only if compensated with a higher expected return. In capital
market theory all investors exhibit risk aversion, even an investor who is short the riskfree asset. In the CAPM, a stock's risk is measured as its beta, not its standard deviation
of returns.
4.
C
A stock or portfolio's beta is its covariance with the returns of the market portfolio
divided by the variance of the market portfolio.
5.
B
Shifting a risk is changing the distribution of possible outcomes. An example of
shifting a risk is hedging price risk with a derivatives contract. Insurance is an example
of transferring a risk. Diversification is best described as a method for bearing a risk
efficiently.
6.
C
The analyst's forecast of the expected return on the risky asset is 5(0.2) + 10(0.4) +
14(0.4) = 10.60/0.The expected/equilibrium return on the market portfolio is 2(0.2) +
10(0.4) + 15(0.4) = 10.4%. The CAPM equilibrium expected return (required return
in equilibrium) on the risky asset is 5 + 1.1(10.4 - 5) = 10.94%. Because the analyst's
forecast return on the risky asset is less than its required return in equilibrium, the asset
is overpriced and the analyst would sell if he owned it and possibly sell it short.
7.
B
Portfolios that plot inside the minimum-variance frontier are inefficient because another
portfolio exists with a higher expected return for the same level of risk, or a lower level
of risk for the same expected return. Portfolios that plot on the minimum-variance
frontier above the global minimum-variance portfolio are efficient. Portfolios that plot
above the minimum-variance frontier are unattainable.
8.
A
Strategic asset allocation is often a part of the written IPS because it helps solidify
desired initial weightings to specific asset classes. Different investors will have different
applicable time horizons which must be considered and evaluated appropriately as part
of the investment policy statement. Required returns should be consistent with risk
objectives, but return objectives should not determine risk objectives.
©20 15 Kaplan, Inc.
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The following is a review of the Equity: Market Organization, Market Indices, and Market Efficiency
principles designed to address the learning outcome statements set forth by CFA Institute. CrossReference to CFA Institute Assigned Reading #46.ZUTSRONMKIGEDCA
MARKET ORGANIZATION AND
STRUCTURE
Study Session 13XMEA
EXAM Focus
There is a great deal of introductory material in this review. Almost all of the types of
securities discussed are covered in detail elsewhere in the curriculum. We introduce
the terminology you will need but leave many of the details to the topic reviews
specific to each security type. You should understand the concept of purchasing stock
on margin and be able to calculate the return on an investment using margin. Be able
to differentiate between market and limit orders as well as between quote-driven,
order-driven, and brokered markets. Know that market regulation should increase
informational, allocational, and operational market efficiency.
LOS 46.a: Explain the main functions of the financial system.
yvutsrponmlihgfecaVSPFCA
CFA® Program Curriculum, Volume 5, page 6
The three main functions of the financial system are to:
1. Allow entities to save and borrow money, raise equity capital, manage risks, trade
assets currently or in the future, and trade based on their estimates of asset values.
2.
Determine the returns (i.e., interest rates) that equate the total supply of savings
with the total demand for borrowing.
3. Allocate capital to its most efficient uses.
The financial system allows the transfer of assets and risks from one entity to another as
well as across time. Entities who utilize the financial system include individuals, firms,
governments, charities, and others.
Achievement
of Purposes in the Financial System
The financial system allows entities to save, borrow, issue equity capital, manage risks,
exchange assets, and to utilize information. The financial system is best at fulfilling
these roles when the markets are liquid, transactions costs are low, information is readily
available, and when regulation ensures the execution of contracts.
Savings. Individuals will save (e.g., for retirement) and expect a return that compensates
them for risk and the use of their money. Firms save a portion of their sales to fund
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Cross-Reference to CFA Institute Assigned Reading #46 - Market Organization and Structure
future expenditures. Vehicles used for saving include stocks, bonds, certificates of
deposit, real assets, and other assets.
zyxwutsrqonmlkihgfedcaURIEDB
Borrowing. Individuals may borrow in order to buy a house, fund a college education,
or for other purposes. A firm may borrow in order to finance capital expenditures and
for other activities. Governments may issue debt to fund their expenditures. Lenders
can require collateral to protect them in the event of borrower defaults, take an equity
position, or investigate the credit risk of the borrower.
Issuing equity. Another method of raising capital is to issue equity, where the capital
providers will share in any future profits. Investment banks help with issuance, analysts
value the equity, and regulators and accountants encourage the dissemination of
information.
Risk management. Entities face risks from changing interest rates, currency values,
commodities values, and defaults on debt, among other things. For example, a firm
that owes a foreign currency in 90 days can lock in the price of this foreign currency
in domestic currency units by entering into a forward contract. Future delivery of the
foreign currency is guaranteed at a domestic-currency price set at inception of the
contract. In this transaction, the firm would be referred to as a hedger. This hedging
allows the firm to enter a market that it would otherwise be reluctant to enter by
reducing the risk of the transaction. Hedging instruments are available from exchanges,
investment banks, insurance firms, and other institutions.
Exchanging assets. The financial system also allows entities to exchange assets. For
example, Proctor and Gamble may sell soap in Europe but have costs denominated in
U.S. dollars. Proctor and Gamble can exchange their euros from soap sales for dollars in
the currency markets.
Utilizing information. Investors with information expect to earn a return on that
information in addition to their usual return. Investors who can identify assets that are
currently undervalued or overvalued in the market can earn extra returns from investing
based on their information (when their analysis is correct).
Return Determination
The financial system also provides a mechanism to determine the rate of return
that equates the amount of borrowing with the amount of lending (saving) in an
economy. Low rates of return increase borrowing but reduce saving (increase current
consumption). High rates of return increase saving but reduce borrowing. The
equilibrium interest rate is the rate at which the amount individuals, businesses, and
governments desire to borrow is equal to the amount that individuals, businesses, and
governments desire to lend. Equilibrium rates for different types of borrowing and
lending will differ due to differences in risk, liquidity, and maturity.
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Cross-Reference to CFA Institute Assigned Reading #46 - Market Organization and StructureutrponmligfecaVPFCA
Allocation of Capital
With limited availability of capital, one of the most important functions of a financial
system is to allocate capital to its most efficient uses. Investors weigh the expected risks
and returns of different investments to determine their most preferred investments. As
long as investors are well informed regarding risk and return and markets function well,
this results in an allocation to capital to its most valuable uses.
sA
LOS 46. b: Describe classifications of assets and markets.
CFA® Program Curriculum, Volume 5, page 14
Financial assets include securities (stocks and bonds), derivative contracts, and
currencies. Real assets include real estate, equipment, commodities, and other physical
assets.
Financial securities can be classified as debt or equity. Debt securities are promises to
repay borrowed funds. Equity securities represent ownership positions.
Public (publicly traded) securities are traded on exchanges or through securities dealers
and are subject to regulatory oversight. Securities that are not traded in public markets
are referred to as private securities. Private securities are often illiquid and not subject to
regulation.
Derivative contracts have values that depend on (are derived from) the values of other
assets. Financial derivative contracts are based on equities, equity indexes, debt, debt
indexes, or other financial contracts. Physical derivative contracts derive their values
from the values of physical assets such as gold, oil, and wheat.
Markets for immediate delivery are referred to as spot markets. Contracts for the future
delivery of physical and financial assets include forwards, futures, and options. Options
provide the buyer the right, but not the obligation, to purchase (or sell) assets over some
period or at some future date at predetermined prices.
The primary market is the market for newly issued securities. Subsequent sales of
securities are said to occur in the secondary market.
Money markets refer to markets for debt securities with maturities of one year or less.
Capital markets refer to markets for longer-term debt securities and equity securities
that have no specific maturity date.
Traditional investment markets refer to those for debt and equity. Alternative markets
refer to those for hedge funds, commodities, real estate, collectibles, gemstones, leases,
and equipment. Alternative assets are often more difficult to value, illiquid, require
investor due diligence, and therefore often sell at a discount.
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Cross-Reference to CFA Institute Assigned Reading #46 - Market Organization and Structure
LOS 46.c: Describe the major types of securities, currencies, contracts,
commodities, and real assets that trade in organized markets, including their
distinguishing characteristics and major subtypes.
vutsrponmlihgfedcbaVPFCA
CFA® Program Curriculum, Volume 5, page 16
Assets can be classified as securities, currencies, contracts, commodities, and real assets.
Their characteristics and subtypes are as follows.
Securities
Securities can be classified as fixed income or equity securities, and individual securities
can be combined in pooled investment vehicles. Corporations and governments are the
most common issuers of individual securities. The initial sale of a security is called an
issue when the security is sold to the public.
Fixed income securities typically refer to debt securities that are promises to repay
borrowed money in the future. Short-term fixed income securities generally have a
maturity of less than one or two years; long-term term maturities are longer than five to
ten years, and intermediate term maturities fall in the middle of the maturity range.
Although the terms are used loosely, bonds are generally long term, whereas notes
are intermediate term. Commercial paper refers to short-term debt issued by firms.
Governments issue bills and banks issue certificates of deposit. In repurchase agreements,
the borrower sells a high-quality asset and has both the right and obligation to
repurchase it (at a higher price) in the future. Repurchase agreements can be for terms as
short as one day.
Convertible debt is debt that an investor can exchange for a specified number of equity
shares of the issuing firm.
Equity securities represent ownership in a firm and include common stock, preferred
stock, and warrants.
•
•
•
Common stock is a residual claim on a firm's assets. Common stock dividends are
paid only after interest is paid to debtholders and dividends are paid to preferred
stockholders. Furthermore, in the event of firm liquidation, debtholders and
preferred stockholders have priority over common stockholders and are usually paid
in full before common stockholders receive any payment.
Preferred stock is an equity security with scheduled dividends that typically do not
change over the security's life and must be paid before any dividends on common
stock may be paid.
Warrants are similar to options in that they give the holder the right to buy a firm's
equity shares (usually common stock) at a fixed exercise price prior to the warrant's
•
•
expiration.
Pooled investment vehicles include mutual funds, depositories, and hedge funds. The
term refers to structures that combine the funds of many investors in a portfolio of
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Cross-Reference to CFA Institute Assigned Reading #46 - Market Organization and Structure
investments. The investor's ownership interests are referred to as shares, units, depository
receipts, or limited partnership interests.
yxvutsrponmlkihgfedcbaTSPNMHFEA
•
•
Mutual funds are pooled investment vehicles in which investors can purchase shares,
either from the fund itself (open-end funds) or in the secondary market (closed-end
funds).
Exchange-traded funds (ETFs) and exchange-traded notes E
( TNs) trade like
closed-end funds but have special provisions allowing conversion into individual
portfolio securities, or exchange of portfolio shares for ETF shares, that keep their
market prices close to the value of their proportional interest in the overall portfolio.
These funds are sometimes referred to as depositories, with their shares referred to as
depository receipts.
•
•
Asset-backed securities represent a claim to a portion of apool of financial assets
such as mortgages, car loans, or credit card debt. The return from the assets is passed
through to investors, with different classes of claims (referred to as tranches) having
different levels of risk.
Hedge funds are organized as limited partnerships, with the investors as the limited
partners and the fund manager as the general partner. Hedge funds utilize various
strategies and purchase is usually restricted to investors of substantial wealth and
investment knowledge. Hedge funds often use leverage. Hedge fund managers are
compensated based on the amount of assets under management as well as on their
investment results.
Professor's Note: Asset-backed securities are described in more detail in the Study
Session on fixed income. Mutual funds and ETFs are discussed in the Study
Session on portfolio management. Hedge funds are discussed in the Study Session
on alternative investments.
Currencies
Currencies are issued by a government's central bank. Some are referred to as reserve
currencies, which are those held by governments and central banks worldwide. These
include the dollar and euro and, secondarily, the British pound, Japanese yen, and Swiss
franc. In spot currency markets, currencies are traded for immediate delivery.
Contracts
Contracts are agreements between two parties that require some action in the future,
such as exchanging an asset for cash. Financial contracts are often based on securities,
currencies, commodities, or security indexes (portfolios). They include futures, forwards,
options, swaps, and insurance contracts.
A forward contract is an agreement to buy or sell an asset in the future at a price
specified in the contract at its inception. An agreement to purchase 100 ounces of gold
90 days from now for $1,000 per ounce is a forward contract. Forward contracts are not
traded on exchanges or in dealer markets.
Futures contracts are similar to forward contracts except that they are standardized as
to amount, asset characteristics, and delivery time and are traded on an exchange (in a
secondary market) so that they are liquid investments.
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Cross-Reference to CFA Institute Assigned Reading #46 - Market Organization and Structure
In a swap contract, two parties make payments that are equivalent to one asset being
traded (swapped) for another. In a simple interest rate swap, floating rate interest
payments are exchanged for fixed-rate payments over multiple settlement dates. A
currency swap involves a loan in one currency for the loan of another currency for a
period of time. An equity swap involves the exchange of the return on an equity index or
portfolio for the interest payment on a debt instrument.
ywutsrqponmieca
nA
An option contract gives its owner the right to buy or sell an asset at a specific exercise
price at some specified time in the future. A call option gives the option buyer the right
(but not the obligation) to buy an asset. A put option gives the option buyer the right
(but not the obligation) to sell an asset.
Sellers, or writers, of call (put) options receive a payment, referred to as the option
premium, when they sell the options but incur the obligation to sell (buy) the asset at the
specified price if the option owner chooses to exercise it.
Options on currencies, stocks, stock indexes, futures, swaps, and precious metals are
traded on exchanges. Customized options contracts are also sold by dealers in the overthe-counter market.
An insurance contract pays a cash amount if a future event occurs. They are used to
hedge against unfavorable, unexpected events. Examples include life, liability, and
automobile insurance contracts. Insurance contracts can sometimes be traded to other
parties and often have tax-advantaged payouts.
Credit default swaps are a form of insurance that makes a payment if an issuer defaults
on its bonds. They can be used by bond investors to hedge default risk. They can also be
used by parties that will experience losses if an issuer experiences financial distress and by
others who are speculating that the issuer will experience more or less financial trouble
than is currently expected.
Commodities
Commodities trade in spot, forward, and futures markets. They include precious
metals, industrial metals, agricultural products, energy products, and credits for carbon
reduction.
Futures and forwards allow both hedgers and speculators to participate in commodity
markets without having to deliver or store the physical commodities.
Real Assets
Examples of real assets are real estate, equipment, and machinery. Although they have
been traditionally held by firms for their use in production, real assets are increasingly
held by institutional investors both directly and indirectly.
Buying real assets directly often provides income, tax advantages, and diversification
benefits. However, they often entail substantial management costs. Furthermore, because
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Cross-Reference to CFA Institute Assigned Reading #46 - Market Organization and Structure
of their heterogeneity, they usually require the investor to do substantial due diligence
before investing. They are illiquid because their specialization may result in a limited
pool of investors for a particular real asset.
Rather than buying real assets directly, an investor may choose to buy them indirectly
through an investment such as a real estate investment trust (REIT) or master limited
partnership (MLP). The investor owns an interest in these vehicles, which hold the assets
directly. Indirect ownership interests are typically more liquid than ownership of the
assets themselves. Another indirect ownership method is to buy the stock of firms that
have large ownership of real assets.
xvutsrponmlkihgedcaVPFEDCBA
LOS 46.d: Describe types of financial intermediaries and services that they
provide.
CFA® Program Curriculum, Volume 5, page 28
Financial intermediaries stand between buyers and sellers, facilitating the exchange
of assets, capital, and risk. Their services allow for greater efficiency and are vital to a
well-functioning economy. Financial intermediaries include brokers and exchanges,
dealers, securitizers, depository institutions, insurance companies, arbitrageurs, and
clearinghouses.
Brokers, Dealers, and Exchanges
Brokers help their clients buy and sell securities by finding counterparties to trades
in a cost efficient manner. They may work for large brokerage firms, for banks, or at
exchanges.
Block brokers help with the placement of large trades. Typically, large trades are difficult
to place without moving the market. For example, a large sell order might cause a
security's price to decrease before the order can be fully executed. Block brokers help
conceal their clients' intentions so that the market does not move against them.
Investment banks help corporations sell common stock, preferred stock, and debt
securities to investors. They also provide advice to firms, notably about mergers,
acquisitions, and raising capital.
Exchanges provide a venue where traders can meet. Exchanges sometimes act as brokers
by providing electronic order matching. Exchanges regulate their members and require
firms that list on the exchange to provide timely financial disclosures and to promote
shareholder democratization. Exchanges acquire their regulatory power through member
agreement or from their governments.
Alternative trading systems (ATS), which serve the same trading function as exchanges
but have no regulatory function, are also known as electronic communication networks
(ECNs) or multilateral trading facilities (MTFs). ATS that do not reveal current client
orders are known as dark pools.
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Dealers facilitate trading by buying for or selling from their own inventory. Dealers
provide liquidity in the market and profit primarily from the spread (difference) between
the price at which they will buy (bid price) and the price at which they will sell (ask
price) the security or other asset.
Some dealers also act as brokers. Broker-dealers have an inherent conflict of interest. As
brokers, they should seek the best prices for their clients, but as dealers, their goal is to
profit through prices or spreads. As a result, traders typically place limits on how their
orders are filled when they transact with broker-dealers.
Dealers that trade with central banks when the banks buy or sell government securities
in order to affect the money supply are referred to as primary dealers.
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Securitizers
Securitizers pool large amounts of securities or other assets and then sell interests in the
pool to other investors. The returns from the pool, net of the securitizer's fees, are passed
through to the investors. By securitizing the assets, the securitizer creates a diversified
pool of assets with more predictable cash flows than the individual assets in the pool.
This creates liquidity in the assets because the ownership interests are more easily valued
and traded. There are also economies of scale in the management costs of large pools of
assets and potential benefits from the manager's selection of assets.
Assets that are often securitized include mortgages, car loans, credit card receivables,
bank loans, and equipment leases. The primary benefit of securitization is to decrease the
funding costs for the assets in the pool. A firm may set up a special purpose vehicle (SPV)
or special purpose entity (SPE) to buy firm assets, which removes them from the firm's
balance sheet and may increase their value by removing the risk that financial trouble at
the firm will give other investors a claim to the assets' cash flows.
The cash flows from securitized assets can be segregated by risk. The different risk
categories are called tranches. The senior tranches provide the most certain cash flows,
while the junior tranches have greater risk.
Depository Institutions
Examples of depository institutions include banks, credit unions, and savings and loans.
They pay interest on customer deposits and provide transaction services such as checking
accounts. These financial intermediaries then make loans with the funds, which offer
diversification benefits. The intermediaries have expertise in evaluating credit quality and
managing the risk of a portfolio of loans of various types.
Other intermediaries, such as payday lenders and factoring companies, lend money to
firms and individuals on the basis of their wages, accounts receivable, and other future
cash flows. These intermediaries often finance the loans by issuing commercial paper or
other debt securities.
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Securities brokers provide loans to investors who purchase securities on margin. When
this margin lending is to hedge funds and other institutions, the brokers are referred to
as prime brokers.
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The equity owners (stockholders) of banks, brokers, and other intermediaries absorb any
loan losses before depositors and other lenders. The more equity capital an intermediary
has, the less risk for depositors. Poorly capitalized intermediaries (those with less equity)
have less incentive to reduce the risk of their loan portfolios because they have less
capital at risk.
Insurance Companies
Insurance companies are intermediaries, in that they collect insurance premiums in
return for providing risk reduction to the insured. The insurance firm can do this
efficiently because it provides protection to a diversified pool of policyholders, whose
risks of loss are typically uncorrelated. This provides more predictable losses and cash
flows compared to a single insurance contract, in the same way that a bank's diversified
portfolio of loans diversifies the risk of loan defaults.
Insurance firms also provide a benefit to investors by managing the risks inherent in
insurance: moral hazard, adverse selection, and fraud. Moral hazard occurs because the
insured may take more risks once he is protected against losses. Adverse selection occurs
when those most likely to experience losses are the predominant buyers of insurance. In
fraud, the insured purposely causes damage or claims fictitious losses so he can collect on
his insurance policy.
Arbitrageurs
In its pure (riskless) form, arbitrage refers to buying an asset in one market and reselling
it in another at a higher price. By doing so, arbitrageurs act as intermediaries, providing
liquidity to participants in the market where the asset is purchased and transferring the
asset to the market where it is sold.
In markets with good information, pure arbitrage is rare because traders will favor
the markets with the best prices. More commonly, arbitrageurs try to exploit pricing
differences for similar instruments. For example, a dealer who sells a call option will
often also buy the stock because the call and stock price are highly correlated. Likewise,
arbitrageurs will attempt to exploit discrepancies in the pricing of the call and stock.
Many (risk) arbitrageurs use complex models for valuation of related securities and for
risk control. Creating similar positions using different assets is referred to as replication.
This is also a form of intermediation because similar risks are traded in different forms
and in different markets.
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Clearinghouses and Custodians
Clearinghouses act as intermediaries between buyers and sellers in financial markets and
provide:
•
•
•
•
Escrow services (transferring cash and assets to the respective parties).
Guarantees of contract completion.
Assurance that margin traders have adequate capital.
Limits on the aggregate net order quantity (buy orders minus sell orders) of
members.
Through these activities, clearinghouses limit counterparty risk, the risk that the other
party to a transaction will not fulfill its obligation. In some markets, the clearinghouse
ensures only the trades of its member brokers and dealers, who, in turn, ensure the
trades of their retail customers.
Custodians also improve market integrity by holding client securities and preventing
their loss due to fraud or other events that affect the broker or investment manager.
LOS 46.e: Compare positions an investor can take in an asset.
CFA® Program Curriculum, Volume 5, page 38
An investor who owns an asset, or has the right or obligation under a contract to
purchase an asset, is said to have a long position. A short position can result from
borrowing an asset and selling it, with the obligation to replace the asset in the future (a
short sale). The party to a contract who must sell or deliver an asset in the future is also
said to have a short position. In general, investors who are long benefit from an increase
in the price of an asset and those who are short benefit when the asset price declines.
Hedgers use short positions in one asset to hedge an existing risk from a long position
in another asset that has returns that are strongly correlated with the returns of the
asset shorted. For example, wheat farmers may take a short position in (i.e., sell) wheat
futures contracts. If wheat prices fall, the resulting increase in the value of the short
futures position offsets, partially or fully, the loss in the value of the farmer's crop.
Professor's Note: As a rule of thumb, hedgers must "do in the futures market
what they must do in the future. "Thus, the former who must sell wheat in the
future can reduce the risk from wheat price fluctuations by selling wheat futures.
The buyer of an option contract is said to be long the option. The seller is short the
option and is said to have written the option. Note that an investor who is long (buys)
a call option on an asset profits when the value of the underlying asset increases in
value, while the party short the option has losses. A long position in a put option on an
asset has the right to sell the asset at a specified price and profits when the price of the
underlying asset falls, while the party short the option has losses.
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In swaps, each party is long one asset and short the other, so the designation of the long
and short side is often arbitrary. Usually, however, the side that benefits from an increase
in the quoted price or rate is referred to as the long side.
In a currency contract, each party is long one currency and short the other. For example,
the buyer of a euro futures contract priced in dollars is long the euro and short the
dollar.
Short Sales and Positions
In a short sale, the short seller (1) simultaneously borrows and sells securities through a
broker, (2) must return the securities at the request of the lender or when the short sale
is closed out, and (3) must keep a portion of the proceeds of the short sale on deposit
with the broker. Short sellers hope to profit from a fall in the price of the security or
asset sold short, buying at a lower price in the future in order to repay the loan of the
asset originally sold at a higher price. The repayment of the borrowed security or other
asset is referred to as "covering the short position."
In a short sale, the short seller must pay all dividends or interest that the lender would
have received from the security that has been loaned to the short seller. These payments
are called payments-in-lieu of dividends or interest. The short seller must also deposit
the proceeds of the short sale as collateral to guarantee the eventual repurchase of the
security. The broker then earns interest on these funds and may return a portion of this
interest to the short seller at a rate referred to as the short rebate rate. The short rebate
rate is usually only provided to institutional investors and is typically 0.1 % less than
overnight interest rates. If the security is difficult to borrow, the short rebate rate may be
lower or negative. The difference between the interest earned on the proceeds from the
short sale and the short rebate paid is the return to the lender of the securities. A short
sale may also require the short seller to deposit additional margin in the form of cash or
short-term riskless securities.
Leveraged Positions
The use of borrowed funds to purchase an asset results in a leveraged position and the
investor is said to be using leverage. Investors who use leverage to buy securities by
borrowing from their brokers are said to buy on margin and the borrowed funds are
referred to as a margin loan. The interest rate paid on the funds is the call money rate,
which is generally higher than the government bill rate. The call money rate is lower for
larger investors with better collateral.
At the time of a new margin purchase, investors are required to provide a minimum
amount of equity, referred to as the initial margin requirement. This requirement may
be set by the government, exchange, clearinghouse, or broker. Lower risk in an investor's
portfolio will often result in the broker lending more funds.
The use of leverage magnifies both the gains and losses from changes in the value of the
underlying asset. The additional risk from the use of borrowed funds is referred to as risk
from financial leverage.
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LOS 46.f: Calculate and interpret the leverage ratio, the rate of return on a
margin transaction, and the security price at which the investor would receive a
margin call.
urpomligecaVPCA
CPA ® Program Curriculum, Volume 5, page 41
The leverage ratio of a margin investment is the value of the asset divided by the value of
the equity position. For example, an investor who satisfies an initial margin requirement
of 500/0equity has a 2-to-l leverage ratio so that a 100/0increase (decrease) in the price of
the asset results in a 200/0increase (decrease) in the investor's equity amount.
Example: Margin transaction
Given the following information:
Shares purchased
1,000
Purchase price per share
$100
Annual dividend per share
$2.00
Initial margin requirement
400/0
Call money rate
40/0
Commission per share
$0.05
Stock price after one year
$110
Calculate (1) the leverage ratio and (2) the investor's return on the margin transaction
(return on equity) if the stock is sold at the end of one year.
Answer:
1. The leverage ratio = 1 / 0.40 = 2.5.
2. The total purchase price is 1,000 x $100 = $100,000. The investor must
post initial margin of 400/0 x $100,000 = $40,000. The remaining $60,000 is
borrowed. The commission on the purchase is 1,000 x $0.05 = $50. Thus, the
total initial equity investment is $40,050.
At the end of one year, the stock value is 1,000 x $110 = $110,000, for a gain of
$9,950. Dividends received are 1,000 x $2.00 = $2,000. Interest paid is $60,000 x
40/0 = $2,400. The commission on the sale is 1,000 x $0.05 = $50.
The gain on the transaction in one year is $9,950 + $2,000 - $2,400 - $50 = $9,500.
The return on the equity investment is $9,500 / $40,050 = 23.720/0. The investor's
net return is less than the asset total return (100/0price appreciation + 20/0dividend =
120/0)multiplied by the leverage ratio (120/0x 2.5 = 300/0)because of the loan interest
and commissions.
We can also solve for the return on the margin transaction with the cash flow
functions on a financial calculator. The initial cash outflow is the $40,000 initial
margin + $50 purchase commission = $40,050. The inflow after one year is the
$110,000 stock value + $2,000 dividends - $60,000 margin repayment - $2,400
margin interest - $50 sale commission = $49,550. Using the cash flow functions: CFo
= -40,050; CF1 = 49,550; CPT IRR = 23.720/0.
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To ensure that the loan is covered by the value of the asset, an investor must maintain
a minimum equity percentage, called the maintenance margin requirement, in the
account. This minimum is typically 25% of the current position value, but brokers may
require a greater minimum equity percentage for volatile stocks.
If the percentage of equity in a margin account falls below the maintenance margin
requirement, the investor will receive a margin call, a request to bring the equity
percentage in the account back up to the maintenance margin percentage. An investor
can satisfy this request by depositing additional funds or depositing other unmargined
securities that will bring the equity percentage up to the minimum requirement. If the
investor does not meet the margin call, the broker must sell the position.
The stock price which results in a margin call can be calculated by using the following
formula:
margin call price = Po
1-initial margin
oP
1- maintenance margin
where:
Po;;: initial purchase price
Example: Margin call price
If an investor purchases a stock for $40 per share with an initial margin requirement
of 50% and the maintenance margin requirement is 250/0, at what price will the
investor get a margin call?
Answer:
$40(1 - 0.5) = $26.67
1- 0.25
A margin call is triggered at a price below $26.67.
In a short sale, the investor must deposit initial margin equal to a percentage of the
value of the shares sold short to protect the broker in case the share price increases. An
increase in the share price can decrease the margin percentage below the maintenance
margin percentage and generate a margin call.
LOS 46.g: Compare execution, validity, and clearing instructions.
LOS 46.h: Compare market orders with limit orders.
urpomligecaVPCA
CPA ® Program Curriculum, Volume 5, page 44
Securities dealers provide prices at which they will buy and sell shares. The bid price is
the price at which a dealer will buy a security. The ask or offer price is the price at which
a dealer will sell a security. The difference between the bid and ask prices is referred to
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as the bid-ask spread and is the source of a dealer's compensation. The bid and ask are
quoted for specific trade sizes (bid size and ask size).
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Professor's Note: Calculations with bid and ask prices are unlikely to appear on
the Level I exam but they do appear at Level II. If you need to work with bid
and ask prices, just remember that the price you get will be the one that is worse
for you.
fI
•
•
Securities: If you are buying, you must pay the higher price. If you are selling,
you only receive the lower price.
Currencies: The bid or ask price you get is the one that givesyou less of the
currency you are acquiring. This works regardless of which way the exchange
rate is quoted.
The quotation in the market is the highest dealer bid and lowest dealer ask from among
all dealers in a particular security. More liquid securities have market quotations with
bid-ask spreads that are lower (as a percentage of share price) and therefore have lower
transactions costs for investors. Traders who post bids and offers are said to make a
market, while those who trade with them at posted prices are said to take the market.
When investors want to buy or sell, they must enter orders that specify the size of the
trade and whether to buy or sell. The order can also include execution instructions that
specify how to trade, validity instructions that specify when the order can be filled, and
clearing instructions that specify how to settle the trade.
Execution Instructions
The most common orders, in terms of execution instructions, are market or limit orders.
A market order instructs the broker to execute the trade immediately at the best possible
price. A limit order places a minimum execution price on sell orders and a maximum
execution price on buy orders. For example, a buy order with a limit of $6 will be
executed immediately as long as the shares can be purchased for $6 or less.
A market order is often appropriate when the trader wants to execute quickly, as
when the trader has information she believes is not yet reflected in market prices. The
disadvantage of market orders is that they may execute at unfavorable prices, especially
if the security has low trading volume relative to the order size. A market buy order
may execute at a high price or a market sell order may execute at a low price. Executing
at an unfavorable price represents a concession by the trader for immediate liquidity.
Unfortunately, these price concessions are unpredictable.
To avoid price execution uncertainty, a trader can place a limit order instead of the
market order. The disadvantage of the limit order is that it might not be filled. For
example, if a trader places a limit buy order of $50 and no one is willing to sell at $50,
the order will not be filled. Furthermore, if the stock price rises over time, the trader
misses out on the gains.
A limit buy order above the best ask or a limit sell order below the best bid are said to
be marketable or aggressivelypriced because at least part of the order is likely to execute
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immediately. If the limit price is between the best bid and the best ask, a limit order is
said to be making a new market or inside the market. Limit orders waiting to execute are
called standing limit orders.
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A limit buy order at the best bid or a limit sell order at the best ask are said to make
the market. Again, the order might not be filled. A buy order with a limit price below
the best bid, or a sell order with a limit price above the best ask, is said to be behind the
market. It will likely not execute until security prices move toward the limit price. A
limit buy order with a price considerably lower than the best bid, or a limit sell order
with a price significantly higher than the best ask, is said to be for from the market.
Other execution instructions concern the volume of the trade. All-or-nothing orders
execute only if the whole order can be filled. Orders can specify the minimum size of a
trade, which is beneficial when trading costs depend on the number of executed trades
rather than the size of the order.
Trade visibility can also be specified. Hidden orders are those for which only the broker
or exchange knows the trade size. These are useful for investors that have a large amount
to trade and do not want to reveal their intentions. Traders can also specify display
size, where some of the trade is visible to the market, but the rest is not. These are also
referred to as iceberg orders because part of most of the order is hidden from view. They
allow the investor to advertise some of the trade, with the rest of the trade potentially
executed once the visible part has executed. Sometimes entering trades for part of the
position the trader wishes to establish is a way to estimate the liquidity of, or the buying
interest in, the security in question.
Validity Instructions
Validity instructions specify when an order should be executed. Most orders are day
orders, meaning they expire if unfilled by the end of the trading day. Good-till-cancelled
orders last until they are filled. Immediate-or-cancel orders are cancelled unless they can
be filled immediately. They are also known as fill-or-kill orders. Good-on-close orders
are only filled at the end of the trading day. If they are market orders, they are referred to
as market-on-close orders. These are often used by mutual funds because their portfolios
are valued using closing prices. There are also good-on-open orders.
Stop Orders
Stop orders are those that are not executed unless the stop price has been met. They
are often referred to as stop loss orders because they can be used to prevent losses or to
protect profits. Suppose an investor purchases a stock for $50. If the investor wants to
sellout of the position if the price falls 100/0 to $45, he can enter a stop-sell order at
$45. If the stock trades down to $45 or lower, this triggers a market order to sell. There is
no guarantee that the order will execute at $45, and a rapidly falling stock could be sold
at a price significantly lower than $45.
A stop-buy is entered with at stop (trigger) above the current market price. There are
two primary reasons a trader would enter a stop-buy order. (1) A trader with a short
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position could attempt to limit losses from an increasing stock price with a stop-buy
order. (2) It is often said, "You don't get paid for being right until the market agrees with
you." With this in mind, an investor who believes a stock is undervalued, but does not
wish to own it until there are signs that market participants are being convinced of this
undervaluation, may place a stop-buy order at a price some specific percentage above the
•
current prIce.
Note that stop orders reinforce market momentum. Stop-sell orders execute when
market prices are falling, and stop-buy orders execute when the market is rising.
Execution prices for stop orders are therefore often unfavorable.
Example: Using stop orders
Raymond Flowers believes that the shares of Acme Corp. that he owns are overvalued
currently but knows that stocks often continue to increase above their intrinsic values
for some time before correcting. What type of order should Flowers place if he wants
to sell his shares when the price begins to fall a significant amount?
Answer:
Flowers should enter a good-till-cancelled stop-sell order at a price some percentage
below the current level. If, for example, the shares are trading at 40, he could enter
a stop-sell order at 36, 100/0 below the current level. Investors sometimes move these
stops up as a stock continues to increase in price. In response to a price increase to 42,
Flowers might move his stop-sell order up to 37.80, 100/0 below the new price. Note
that a limit order to sell with a limit price below the current market price would likely
execute immediately.
Clearing Instructions
Clearing instructions tell the trader how to clear and settle a trade. They are usually
standing instructions and not attached to an order. Retail trades are typically cleared
and settled by the broker, whereas institutional trades may be settled by a custodian or
another broker, which might be the trader's prime broker. Using two brokers allows the
investor to keep one broker as her prime broker for margin and custodial services while
using a variety of other brokers for specialized execution.
One important clearing instruction is whether a sell order is a short sale or long sale. In
the former, the broker must confirm that the security can be borrowed and in the latter,
that the security can be delivered.
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LOS 46.i: Define primary and secondary markets and explain how secondary
markets support primary markets.
urpomligecaVPFCA
CFA® Program Curriculum, Volume 5, page 50
Primary capital markets refer to the sale of newly issued securities. New equity issues
involve either:
•
•
New shares issued by firms whose shares are already trading in the marketplace.
These issues are called seasoned offerings or secondary issues.
First-time issues by firms whose shares are not currently publicly traded. These are
called initial public offerings (IPOs).
Secondary financial markets are where securities trade after their initial issuance. Placing
a buy order on the London Stock Exchange is an order in the secondary market and will
result in purchase of existing shares from their current owner.
Primary Market: Public Offerings
Corporate stock or bond issues are almost always sold with the assistance of an
investment banking firm. The investment bank finds investors who agree to buy part of
the issue. These are not actual orders but are referred to as indications of interest. When
the number of shares covered by indications of interest are greater (less) than the number
of shares to be offered, the offering price may be adjusted upward (downward). This
process of gathering indications of interest is referred to as book building. In London,
the book builder is referred to as the book runner. In Europe, an accelerated book build
occurs when securities must be issued quickly. To build a book, the investment bank
disseminates information about the firm's financials and prospects. The issuer must also
make disclosures including how the funds will be used.
The most common wayan investment bank assists with a security issuance is through
an underwritten offering. Here, the investment bank agrees to purchase the entire issue
at a price that is negotiated between the issuer and bank. If the issue is undersubscribed,
the investment bank must buy the unsold portion. In the case of an IPO, the investment
bank also agrees to make a market in the stock for a period after the issuance to provide
price support for the issue.
An investment bank can also agree to distribute shares of an IPO on a best efforts basis,
rather than agreeing to purchase the whole issue. If the issue is undersubscribed, the
bank is not obligated to buy the unsold portion.
Note that investment banks have a conflict of interest in an underwritten offer. As the
issuer's agents, they should set the price high to raise the most funds for the issuer. But,
as underwriters, they would prefer that the price be set low enough that the whole issue
sells. This also allows them to allocate portions of an undervalued IPO to their clients.
This results in IPOs typically being underpriced. Issuers also could have an interest
in underpricing the IPO because of the negative publicity when an undersubscribed
IPO initially trades at a price below the IPO price investors pay. An IPO that is
oversubscribed and has the expectation of trading significantly above its IPO price is
referred to as a hot issue.
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Primary Market: Private Placements and Other Transactions
In a private placement, securities are sold directly to qualified investors, typically with
the assistance of an investment bank. Qualified investors are those with substantial
wealth and investment knowledge. Private placements do not require the issuer to
disclose as much information as they must when the securities are being sold to the
public. The issuance costs are less with a private placement and the offer price is also
lower because the securities cannot be resold in public markets, making them less
valuable than shares registered for public trading.
In a shelf registration, a firm makes its public disclosures as in a regular offering but
then issues the registered securities over time when it needs capital and when the
markets are favorable.
A dividend reinvestment plan CORP or DRIP) allows existing shareholders to use their
dividends to buy new shares from the firm at a slight discount.
In a rights offering, existing shareholders are given the right to buy new shares at
a discount to the current market price. Shareholders tend to dislike rights offerings
because their ownership is diluted unless they exercise their rights and buy the additional
shares. However, rights can be traded separately from the shares themselves in some
•
circumstances.
In addition to firms issuing securities, governments issue short-term and long-term debt,
either by auction or through investment banks.
Importance of the Secondary Market
Secondary markets are important because they provide liquidity and price/value
information. Liquid markets are those in which a security can be sold quickly without
incurring a discount from the current price. The better the secondary market, the easier
it is for firms to raise external capital in the primary market, which results in a lower cost
of capital for firms with shares that have adequate liquidity.
LOS 46.j: Describe how securities, contracts, and currencies are traded in
quote-driven, order-driven, and brokered markets.
urpomligecaVPCA
CPA ® Program Curriculum, Volume 5, page 54
The trading of securities in the secondary market has encouraged the development of
market structures to facilitate trading. Trading can be examined according to when
securities are traded and how they are traded.
Securities markets may be structured as call markets or continuous markets. In call
markets, the stock is only traded at specific times. Call markets are potentially very
liquid when in session because all traders are present, but they are obviously illiquid
between sessions. In a call market, all trades, bids, and asks are declared, and then
one negotiated price is set that clears the market for the stock. This method is used in
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smaller markets but is also used to set opening prices and prices after trading halts on
major exchanges.
In continuous markets, trades occur at any time the market is open. The price is set by
either the auction process or by dealer bid-ask quotes.
Market Structures
There are three main categories of securities markets: quote-driven markets where
investors trade with dealers, order-driven markets where rules are used to match buyers
and sellers, and brokered markets where investors use brokers to locate a counterparty to
a trade.
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Quote-Driven Markets
In quote-driven markets, traders transact with dealers (market makers) who post bid and
ask prices. Dealers maintain an inventory of securities. Quote-driven markets are thus
sometimes called dealer markets, price-driven markets, or over-the-counter markets.
Most securities other than stocks trade in quote-driven markets. Trading often takes
place electronically.
Order-Driven Markets
In order-driven markets, orders are executed using trading rules, which are necessary
because traders are usually anonymous. Exchanges and automated trading systems are
examples of order-driven markets. Two sets of rules are used in these markets: order
matching rules and trade pricing rules.
Order matching rules establish an order precedence hierarchy. Price priority is one
criteria, where the trades given highest priority are those at the highest bid (buy) and
lowest ask (sell). If orders are at the same prices, a secondary precedence rule gives
priority to non-hidden orders and earliest arriving orders. These rules encourage traders
to price their trades aggressively, display their entire orders, and trade earlier, thereby
improving liquidity.
After orders are created using order matching rules, trade pricing rules are used to
determine the price. Under the uniform pricing rule, all orders trade at the same price,
which is the price that results in the highest volume of trading. The discriminatory
pricing rule uses the limit price of the order that arrived first as the trade price.
In an electronic crossing network, the typical trader is an institution. Orders are batched
together and crossed (matched) at fixed points in time during the day at the average of
the bid and ask quotes from the exchange where the stock primarily trades. This pricing
rule is referred to as the derivative pricing rule because it is derived from the security's
main market. The price is not determined by orders in the crossing network.
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Brokered Markets
In brokered markets, brokers find the counterparty in order to execute a trade. This
service is especially valuable when the trader has a security that is unique or illiquid.
Examples are large blocks of stock, real estate, and artwork. Dealers typically do not
carry an inventory of these assets and there are too few trades for these assets to trade in
order-driven markets.
Market Information
A market is said to be pre-trade transparent if investors can obtain pre-trade
information regarding quotes and orders. A market is post-trade transparent if investors
can obtain post-trade information regarding completed trade prices and sizes.
Buy-side traders value transparency because it allows them to better understand security
values and trading costs. Dealers, on the other hand, prefer opaque markets because this
provides them with an informational advantage over traders who trade less frequently in
the security. Transactions costs and bid-ask spreads are larger in opaque markets.
LOS 46.k: Describe characteristics of a well-functioning financial system.
CFA® Program Curriculum, Volume 5, page 58
A well-functioning financial system allows entities to achieve their purposes. More
specifically, complete markets fulfill the following:
•
•
•
•
Investors can save for the future at fair rates of return.
Creditworthy borrowers can obtain funds.
Hedgers can manage their risks.
Traders can obtain the currencies, commodities, and other assets they need.
If a market can perform these functions at low trading costs (including commissions,
bid-ask spreads, and price impacts), it is said to be operationally efficient. If security
prices reflect all the information associated with fundamental value in a timely fashion,
then the financial system is informationally efficient. A well-functioning financial
system has complete markets that are operationally and informationally efficient, with
prices that reflect fundamental values.
A well-functioning financial system has financial intermediaries that:
•
•
•
•
•
•
•
•
Organize trading venues, including exchanges, brokerages, and alternative trading
systems.
Supply liquidity.
Securitize assets so that borrowers can obtain funds inexpensively.
Manage banks that use depositor capital to fund borrowers.
Manage insurance firms that pool unrelated risks.
Manage investment advisory services that assist investors with asset management
inexpensively.
Provide clearinghouses that settle trades.
Manage depositories that provide for asset safety.
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The benefits of a well-functioning financial system are tremendous. Savers can fund
entrepreneurs who need capital to fund new companies. Company risks can be
shared so that risky companies can be funded. These benefits are enhanced because
the transactions can occur among strangers, widening the opportunities for capital
formation and risk sharing in the economy.
Furthermore, in informationally efficiently markets, capital is allocated to its most
productive use. That is, they are allocationally efficient. Informational efficiency is
brought about by traders who bid prices up and down in response to new information
that changes estimates of securities' fundamental values. If markets are operationally
efficient, security prices will be more informationally efficient because low trading costs
encourage trading based on new information. The existence of accounting standards
and financial reporting requirements also reduces the costs of obtaining information and
increases security values.
LOS 46.1: Describe objectives of market regulation.
yutsrponmlihgfedcaVPIFDCA
CFA ® Program Curriculum, Volume 5, page 60
Without market regulation, many problems could persist in financial markets:
•
•
•
•
Fraud and theft: In complex financial markets, the potential for theft and
fraud increases because investment managers and others can take advantage of
unsophisticated investors. Furthermore, if returns are often random, it is difficult
for investors to determine if their agents (e.g., investment managers and brokers) are
performing well.
Insider trading: If investors believe traders with inside information will exploit them,
they will exit the market and liquidity will be reduced.
Costly information: If obtaining information is relatively expensive, markets will not
be as informationally efficient and investors will not invest as much.
Defaults: Parties might not honor their obligations in markets.
To solve these problems, market regulation should:
•
•
•
•
•
Protect unsophisticated investors so that trust in the markets is preserved.
Require minimum standards of competency and make it easierfor investors to
evaluate performance. The CFA Program and the Global Investment Performance
Standards are part of this effort.
Prevent insiders from exploiting other investors.
Require common financial reporting requirements (e.g., ht ose of the International
Accounting Standards Board) so that information gathering is less expensive.
Require minimum levels of capital so that market participants will be able to honor
their long-term commitments. This is especially important for insurance companies
and pension funds that individuals depend on for their financial future. With capital
at stake, market participants have more incentive to be careful about the risks they
take.
Regulation can be provided by governments as well as industry groups. For example,
most exchanges, clearinghouses, and dealer trade organizations are self-regulating
organizations (SROs), meaning that they regulate their members. Governments
sometimes delegate regulatory authority to SROs.
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When they fail to address the problems mentioned above, financial markets do not
function well. Liquidity declines, firms shun risky projects, new ideas go unfunded, and
economic growth slows.
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LOS 46.a
The three main functions of the financial system are to:
1. Allow entities to save, borrow, issue equity capital, manage risks, exchange assets,
and utilize information.
2.
Determine the return that equates aggregate savings and borrowing.
3.
Allocate capital efficiently.
LOS 46.b
Assets and markets can be classified as:
•
Financial assets (e.g., securities, currencies, derivatives) versus real assets (e.g., real
estate, equipment).
•
Debt securities versus equity securities.
•
Public securities that trade on exchanges or through dealers versus private securities.
•
Physical derivative contracts (e.g., on grains or metals) versus financial derivative
contracts (e.g., on bonds or equity indexes).
•
Spot versus future delivery markets.
•
Primary markets (issuance of new securities) versus secondary markets (trading of
previously issued securities).
•
Money markets (short-term debt instruments) versus capital markets (longer-term
debt instruments and equities).
•
Traditional investment markets (bonds, stocks) versus alternative investment markets
(e.g., real estate, hedge funds, fine art).
LOS 46.c
The major types of assets are securities, currencies, contracts, commodities,
assets.
and real
Securities include fixed income (e.g., bonds, notes, commercial paper), equity (common
stock, preferred stock, warrants), and pooled investment vehicles (mutual funds,
exchange-traded funds, hedge funds, asset-backed securities).
Contracts include futures, forwards, options, swaps, and insurance contracts.
Commodities include agricultural products, industrial and precious metals, and energy
products and are traded in spot, forward, and futures markets.
Most national currencies are traded in spot markets and some are also traded in forward
and futures markets.
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LOS 46.d
Financial intermediaries perform the following roles:
•
Brokers, exchanges, and alternative trading systems connect buyers and sellers of the
same security at the same location and time. They provide a centralized location for
trading.
•
Dealers match buyers and sellers of the same security at different points in time.
•
Arbitrageurs connect buyers and sellers of the same security at the same time but in
different venues. They also connect buyers and sellers of non-identical securities of
similar risk.
•
Securitizers and depository institutions package assetsinto a diversified pool and sell
interests in it. Investors obtain greater liquidity and choose their desired risk level.
•
Insurance companies create a diversified pool of risks and manage the risk inherent
in providing insurance.
•
Clearinghouses reduce counterparty risk and promote market integrity.
LOS 46.e
A long position in an asset represents current or future ownership. A long position
benefits when the asset increases in value.
A short position represents an agreement to sell or deliver an asset or results from
borrowing an asset and selling it (i.e., a short sale). A short position benefits when the
asset decreases in value.
When an investor buys a security by borrowing from a broker, the investor is said to buy
on margin and has a leveraged position. The risk of investing borrowed funds is referred
to as financial leverage. More leverage results in greater risk.
LOS 46.£
The leverage ratio is the value of the asset divided by the value of the equity position.
Higher leverage ratios indicate greater risk.
The return on a margin transaction is the increase in the value of the position after
deducting selling commissions and interest charges, divided by the amount of funds
initially invested, including purchase commissions.
The maintenance margin is the minimum percentage of equity that a margin investor is
required to maintain in his account. If the investor's equity falls below the maintenance
margin, the investor will receive a margin call. The stock price that will result in a
margin call is:
margin call price = Po
1- initial margin
1- maintenance margin
where:
Po = initial purchase price
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LOS 46.g
Execution instructions specify how to trade. Market orders and limit orders are examples
of execution instructions.
Validity instructions specify when an order can be filled. Day orders, good-til-cancelled
orders, and stop orders are examples of validity instructions.
Clearing instructions specify how to settle a trade.
LOS 46.h
A market order is an order to execute the trade immediately at the best possible price. A
market order is appropriate when the trader wants to execute a transaction quickly. The
disadvantage of a market order is that it may execute at an unfavorable price.
A limit order is an order to trade at the best possible price, subject to the price satisfying
the limit condition. A limit order avoids price execution uncertainty. The disadvantage
of a limit order is that it may not be filled. A buy (sell) order with a limit of $18 will
only be executed if the security can be bought (sold) at a price of $18 or less (more).
LOS 46.i
New issues of securities are sold in primary capital markets. Secondary financial markets
are where securities trade after their initial issuance.
In an underwritten offering, the investment bank guarantees that the issue will be sold at
a price that is negotiated between the issuer and bank. In a best efforts offering, the bank
acts only as a broker.
In a private placement, a firm sells securities directly to qualified investors, without the
disclosures of a public offering.
A liquid secondary market makes it easier for firms to raise external capital in the
primary market, which results in a lower cost of capital for firms.
LOS 46.j
There are three main categories of securities markets:
1. Quote-driven markets: Investors trade with dealers that maintain inventories of
• •
•
secunnes, currencies, or contracts.
2.
Order-driven markets: Order-matching and trade-pricing rules are used to match the
orders of buyers and sellers.
3.
Brokered markets: Brokers locate a counterparty to take the other side of a buy or
sell order.
In call markets, securities are only traded at specific times. In continuous markets, trades
occur at any time the market is open.
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LOS 46.k
A well-functioning financial system has the following characteristics:
•
Complete markets: Savers receive a return, borrowers can obtain capital, hedgers can
manage risks, and traders can acquire needed assets.
•
Operational efficiency: Trading costs are low.
•
Informational efficiency: Prices reflect fundamental information quickly.
•
Allocational efficiency: Capital is directed to its highest valued use.
LOS 46.1
The objectives of market regulation are to:
•
Protect unsophisticated investors.
•
Establish minimum standards of competency.
•
Help investors to evaluate performance.
•
Prevent insiders from exploiting other investors.
•
Promote common financial reporting requirements so that ni formation gathering is
less expensive.
•
Require minimum levels of capital so that market participants will be able to honor
their commitments and be more careful about their risks.
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1.
Daniel Ferramosco is concerned that a long-term bond he holds might default.
He therefore buys a contract that will compensate him in the case of default.
What type of contract does he hold?
A. Physical derivative contract.
B. Primary derivative contract.
C. Financial derivative contract.
2.
A financial intermediary buys a stock and then resells it a few days later at a
higher price. Which intermediary would this most likely describe?
A. Broker.
B. Dealer.
C. Arbitrageur.
ytsomlkiec
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3.
Which of the following is most similar to a short position in the underlying
asset?
A. Buying a put.
B. Writing a put.
C. Buying a call.
4.
An investor buys 1,000 shares of a stock on margin at a price of $50 per share.
The initial margin requirement is 400/0 and the margin lending rate is 30/0. The
investor's broker charges a commission of $0.01 per share on purchases and
sales. The stock pays an annual dividend of $0.30 per share. One year later, the
investor sells the 1,000 shares at a price of $56 per share. The investor's rate of
return is closest to:
A. 120/0.
B. 270/0.
C. 360/0.
nA
5.
A stock is selling at $50. An investor's valuation model estimates its intrinsic
value to be $40. Based on her estimate, she would most likely place a:
A. short-sale order.
B. stop order to buy.
C. market order to buy.
6.
Which of the following limit buy orders would be the most likely to go
unexecuted?
A. A marketable order.
B. An order behind the market.
C. An order making a new market.
7.
New issues of securities are transactions in the:
A. primary market.
B. secondary market.
C. seasoned market.
©2015 Kaplan, Inc.
Study Session 13
Cross-Reference to CFA Institute Assigned Reading #46 - Market Organization and Structure
8.
In which of the following types of markets do stocks trade any time the market
is open?
A. Exchange markets.
B. Call markets.
C. Continuous markets.
9.
A market is said to be informationally efficient if it features:
A. market prices that reflect all available information about the value of the
securities traded.
B. timely and accurate information about current supply and demand
conditions.
C. many buyers and sellers that are willing to trade at prices above and below
the prevailing market price.
10.
Which of the following would least likely be an objective of market regulation?
A. Reduce burdensome accounting standards.
B. Make it easier for investors to evaluate performance.
C. Prevent investors from using inside information in securities trading.
ytslkiea
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1.
C
Daniel holds a derivative contract that has a value determined by another financial
contract; in this case, the long-term bond.
2.
B
This situation best describes a dealer. A dealer buys an asset for its inventory in the
hopes of reselling it later at a higher price. Brokers stand between buyers and sellers of
the same security at the same location and time. Arbitrageurs trade in the same security
simultaneously in different markets.
3. A
Buying a put is most similar to a short position in the underlying asset because the put
increases in value if the underlying asset value decreases. The writer of a put and the
holder of a call have a long exposure to the underlying asset because their positions
increase in value if the underlying asset value increases.
4.B B
The total purchase price is 1,000 x $50 = $50,000. The investor must post initial
margin of 400/0 x $50,000 = $20,000. The remaining $30,000 is borrowed. The
commission on the purchase is 1,000 x $0.01 = $10. Thus, the initial equity investment
is $20,010.
In one year, the sales price is 1,000 x $56 = $56,000. Dividends received are 1,000 x
$0.30 = $300. Interest paid is $30,000 x 3% = $900. The commission on the sale is
1,000 x $0.01 = $10. Thus the ending value is $56,000 - $30,000 + $300 - $900 - $10
= $25,390.
The return on the equity investment is $25,390 / $20,010 - 1 = 26.890/0.
5.
A
If the investor believes the stock is overvalued in the market, the investor should place a
short-sale order, which would be profitable if the stock moves toward her value estimate.
6.
B
A behind-the-market limit order would be least likely executed. In the case of a buy, the
limit buy order price is below the best bid. It will likely not execute until security prices
decline. A marketable buy order is the most likely to trade because it is close to the best
ask price. In an order that is making a new market or inside the market, the limit buy
order price is between the best bid and ask.
7.
A
The primary market refers to the market for newly issued securities.
8.
C
Continuous markets are defined as markets where stocks can trade any time the market
is open. Some exchange markets are call markets where orders are accumulated and
executed at specific times.
9.
A
Informational efficiency means the prevailing price reflects all available information
about the value of the asset, and the price reacts quickly to new information.
10. A
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Market regulation should require financial reporting standards so that information
gathering is less expensive and the informational efficiency of the markets is enhanced.
©20 15 Kaplan, Inc.
The following is a review of the Equity: Market Organization, Market Indices, and Market Efficiency
principles designed to address the learning outcome statements set forth by CFA Institute. CrossReference to CFA Institute Assigned Reading #47.YUTSRNMKIEDCA
SECURITY MARKET INDICES
Study Session 13XMEA
EXAM Focus
Security market indexes are used to measure the performance of markets and investment
managers. Understand the construction, calculation, and weaknesses of price-weighted,
market capitalization-weighted, and equal-weighted indexes. Be familiar with the various
security indexes and their potential weaknesses.
LOS 47.a: Describe a security market index.
urpomligecaVPFCA
CFA® Program Curriculum, Volume 5, page 78
A security market index is used to represent the performance of an asset class, security
market, or segment of a market. They are usually created as portfolios of individual
securities, which are referred to as the constituent securities of the index. An index
has a numerical value that is calculated from the market prices (actual when available,
or estimated) of its constituent securities at a point in time. An index return is the
percentage change in the index's value over a period of time.
LOS 47.b: Calculate and interpret the value, price return, and total return of
an index.
CFA® Program Curriculum, Volume 5, page 79
An index return may be calculated using a price index or a return index. A price index
uses only the prices of the constituent securities in the return calculation. A rate of
return that is calculated based on a price index is referred to as a price return.
A return index includes both prices and income from the constituent securities. A rate
of return that is calculated based on a return index is called a total return. If the assets
in an index produce interim cash flows such as dividends or interest payments, the total
return will be greater than the price return.
Once returns are calculated for each period, they then can be compounded together to
arrive at the return for the measurement period:
where:
Rp = portfolio return during the measurement period
k
= total number of subperiods
RSk = portfolio return during the subperiod k
k
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For example, if the returns for the first two periods were 0.500/0 and 1.040/0, they would
be geometrically linked to produce 1.550/0:
Rp = (1 + RS1)(1
+ RS2)
-1 = (1.005)(1.0104) -1 = 0.0155 or 1.550/0
If the starting index value is 100, its value after two periods would be 100 x 1.0155 ;:;
101.55.
LOS 47.c: Describe the choices and issues in index construction and
management.
utrpomlkigecaVPFCA
CFA ® Program Curriculum, Volume 5, page 82
Index providers must make several decisions:
•
•
•
•
•
What is the target market the index is intended to measure?
Which securities from the target market should be included?
How should the securities be weighted in the index?
How often should the index be rebalanced?
When should the selection and weighting of securities be re-examined?
The target market may be defined very broadly (e.g., stocks in the United States) or
narrowly (e.g., small-cap value stocks in the United States). It may also be defined by
geographic region or by economic sector (e.g., cyclical stocks). The constituent stocks
in the index could be all the stocks in that market or just a representative sample. The
selection process may be determined by an objective rule or subjectively by a committee.
LOS 47.d: Compare the different weighting methods used in index
•
constructron.
CFA ® Program Curriculum, Volume 5, page 83
Weighting schemes for stock indexes include price weighting, equal weighting,
market capitalization weighting, float-adjusted market capitalization weighting, and
fundamental weighting.
A price-weighted index is simply an arithmetic average of the prices of the securities
included in the index. The divisor of a price-weighted index is adjusted for stock splits
and changes in the composition of the index when securities are added or deleted, such
that the index value is unaffected by such changes.
The advantage of a price-weighted index is that its computation is simple. One
disadvantage is that a given percentage change in the price of a higher priced stock has
a greater impact on the index's value than does an equal percentage change in the price
of a lower priced stock. Put another way, higher priced stocks have more weight in the
calculation of a price-weighted index. Additionally, a stock's weight in the index going
forward changes if the firm splits its stock, repurchases stock, or issues stock dividends,
as all of these actions will affect the price of the stock and therefore its weight in the
index. A portfolio that has an equal number of shares in each of the constituent stocks
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Cross- Reference to CFA Institute Assigned Reading #47 - Security Market Indices
will have price returns (ignoring dividends) that will match the returns of a priceweighted index.
Two major price-weighted indexes are the Dow Jones Industrial Average (DJIA) and the
Nikkei Dow Jones Stock Average. The DJIA is a price-weighted index based on 30 U.S.
stocks. The Nikkei Dow is constructed from the prices of 225 stocks that trade in the
first section of the Tokyo Stock Exchange.
An equal-weighted index is calculated as the arithmetic average return of the index
stocks and, for a given time period, would be matched by the returns on a portfolio that
had equal dollar amounts invested in each index stock. As with a price-weighted index,
an advantage of an equal-weighted index is its simplicity.
sA
One complication with an equal-weighted index return is that a matching portfolio
would have to be adjusted periodically (rebalanced) as prices change so that the values of
all security positions are made equal each period. The portfolio rebalancing required to
match the performance of an equal-weighted index creates high transactions costs that
would decrease portfolio returns.
Another concern with an equal-weighted index is that the weights placed on the returns
of the securities of smaller capitalization firms are greater than their proportions of the
overall market value of the index stocks. Conversely, the weights on the returns of large
capitalization firms in the index are smaller than their proportions of the overall market
value of the index stocks.
The Value Line Composite Average and the Financial Times Ordinary Share Index are
well-known examples of equal-weighted indexes.
A market capitalization-weighted index (or value-weighted index) has weights based
on the market capitalization of each index stock (current stock price multiplied by the
number of shares outstanding) as a proportion of the total market capitalization of all
the stocks in the index. A market capitalization-weighted index return can be matched
with a portfolio in which the value of each security position in the portfolio is the
same proportion of the total portfolio value as the proportion of that security's market
capitalization to the total market capitalization of all of the securities included in the
index. This weighting method more closely represents changes in aggregate investor
wealth than price weighting. Because the weight of an index stock is based on its market
capitalization, a market capitalization-weighted index does not need to be adjusted when
a stock splits or pays a stock dividend.
An alternative to using a firm's market capitalization to calculate its weight in an index
is to use its market float. A firm's market float is the total value of the shares that
are actually available to the investing public and excludes the value of shares held by
controlling stockholders because they are unlikely to sell their shares. For example,
the float for Microsoft would exclude shares owned by Bill Gates and Paul Allen (the
founders) and those of certain other large shareholders as well. The market float is
often calculated excluding those shares held by corporations or governments as well.
Sometimes the market float calculation excludes shares that are not available to foreign
buyers and is then referred to as the free float. The reason for this is to better match the
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index weights of stocks to their proportions of the total value of all the shares of index
stocks that are actually available to investors.
A float-adjusted market capitalization-weighted index is constructed like a market
capitalization-weighted index. The weights, however, are based on the proportionate
value of each firm's shares that are available to investors to the total market value of
the shares of index stocks that are available to investors. Firms with relatively large
percentages of their shares held by controlling stockholders will have less weight than
they have in an unadjusted market-capitalization index.
The advantage of market capitalization-weighted indexes of either type is that index
security weights represent proportions of total market value. The primary disadvantage
of value-weighted indexes is that the relative impact of a stock's return on the index
increases as its price rises and decreases as its price falls. This means that stocks that
are possibly overvalued are given disproportionately high weights in the index and
stocks that are possibly undervalued are given disproportionately low weights. Holding
a portfolio that tracks a value-weighted index is, therefore, similar to following a
momentum strategy, under which the most successful stocks are given the greatest
weights and poor performing stocks are underweighted.
The Standard and Poor's 500 (S&P 500) Index Composite is an example of a market
capitalization-weighted index.
An index that uses fundamental weighting uses weights based on firm fundamentals,
such as earnings, dividends, or cash flow. In contrast to market capitalization index
weights, these weights are unaffected by the share prices of the index stocks (although
related to them over the long term). Fundamental weights can be based on a single
measure or some combination of fundamental measures.
An advantage of a fundamental-weighted index is that it avoids the bias of market
capitalization-weighted indexes toward the performance of the shares of overvalued firms
and away from the performance of the shares of undervalued firms. A fundamentalweighted index will actually have a value tilt, overweighting firms with high value-based
metrics such as book-to-market ratios or earnings yields. Note that a firm with a high
earnings yield (total earnings to total market value) relative to other index firms will by
construction have a higher weight in an earnings-weighted index because, among index
stocks, its earnings are high relative to its market value.
LOS 47 .e: Calculate and analyze the value and return of an index given its
weighting method.
utrponmlihgecaWVPFCA
CFA ® Program Curriculum, Volume 5, page 83
Price Weighting
A price-weighted index adds the market prices of each stock in the index and divides this
total by the number of stocks in the index. The divisor, however, must be adjusted for
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Cross- Reference to CFA Institute Assigned Reading #47 - Security Market Indices
stock splits and other changes in the index portfolio to maintain the continuity of the
•
•
serres over tirne.
pnlcaSKI
.
. h d i d
sum of stock prices
price-weig te in ex = -------------'''----------number of stocks in index adjusted for splits
niYX
Example: Price-weighted
index
Given the information for the three stocks presented in the following figure, calculate
a price-weighted index return over a Ivmonth period.
Index Firm Data
yurnmihecbaXSPJD
Share Price
December 31, 20X6
Share Price
January 31, 20X7
$20
Stock Y
$10
$20
Stock Z
$60
$40
Stock X
$15
Answer:
The price-weighted index is (10 + 20 + 60) / 3 = 30 as of December 31 and (20 + 15
+ 40) / 3 = 25 as of January 31. Hence, the price-weighted I-month percentage return
•
IS:
25
--1
30
= -16.70/0
Example: Adjusting a price-weighted
index for stock splits
At the market close on day 1, Stock A has a price of $10, Stock B has a price of $20,
and Stock C has a price of $90. The value of a price-weighted index of these three
stocks is (10 + 20 + 90) / 3 = 40 at the close of trading. If Stock C splits 2-for-I,
effective on day 2, what is the new denominator for the index?
Answer:
The effect of the split on the price of Stock C, in the absence of any change from
the price at the end of day 1, would be to reduce it to $90 / 2 = $45. The index
denominator will be adjusted so that the index value would remain at 40 if there
were no changes in the stock prices other than to adjust for the split. The new
denominator, d, must satisfy (10 + 20 + 45) / d = 40 and equals 1.875.
d
The returns on a price-weighted index could be matched by purchasing an equal number
of shares of each stock represented in the index. Because the index is price weighted, a
percentage change in a high-priced stock will have a relatively greater effect on the index
than the same percentage change in a low-priced stock.
©20 15 Kaplan, Inc.
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Study Session 13
Cross-Reference to CFA Institute Assigned Reading #47 - Security Market IndiceszyutsrponmlkihgfedcbaWSPONMDC
Market Capitalization Weighting
A market capitalization-weighted index is calculated by summing the total value (current
stock price multiplied by the number of shares outstanding) of all the stocks in the
index. This sum is then divided by a similar sum calculated during the selected base
period. The ratio is then multiplied by the index's base value (typically 100).
For example, if the total market values of the index portfolio on December 31 and
January 31 are $80 million and $95 million, respectively, the index value at the end of
January is:
. d
al
current total market value of index stocks
current In ex v ue =
base year total market value of index stocks
liXB
X
b
ase year
. d
ill
al
ex v ue
.
$95 million
current Index value =
xl 00 = 118.75
$80 million
Thus, the market capitalization-weighted
(118.75/100)
-1
=
index percentage return is:
18.750/0
The following example of price-weighting versus market value-weighting shows how
these two indexes are calculated and how they differ.
Example: Price-weighted vs. market capitalization-weighted indexes
Consider the three firms described below. Compare the effects on a price-weighted
index and a market capitalization-weighted index if Stock A doubles in price or if
Stock C doubles in price. Assume the period shown in the table is the base period for
the market capitalization-weighted index and that its base value is 100.
Index Firm Data
Page 234
Company
Number of Shares
Outstanding (ODDs)
Stock Price
A
100
$100
$10,000
B
1,000
$10
$10,000
C
20,000
$1
$20,000
©2015 Kaplan, Inc.
Capitalization (ODDs)
Study Session 13
Cross- Reference to CFA Institute Assigned Reading #47 - Security Market Indices
Answer:
The price-weighted
index equals:
100 + 10 + 1 = 37
3
If Stock A doubles in price to $200, the price-weighted
index value is:
200 + 10 + 1 = 70.33
3
If Stock C doubles in price to $2, the price-weighted
100+10+2
index value is:
= 37.33
3
If Stock A doubles in value, the index goes up 33.33 points, while if Stock C doubles
in value, the index only goes up 0.33 points. Changes in the value of the firm with
the highest stock price have a disproportionately large influence on a price-weighted
index.
For a market capitalization-weighted index, the base period market capitalization
(100,000 x $100) + (1,000,000 x $10) + (20,000,000 x $1) = $40,000,000.
is
If Stock A doubles in price to $200, the index goes to:
100,000 X $200 + 1,000,000 X $10 + 20,000,000 X $1 X 100 = 125
$40,000,000
If Stock C doubles in price to $2, the index goes to:
100,000 X $100 + 1,000,000 X $10 + 20,000,000 X $2 X 100 = 150
$40,000,000
In the market capitalization-weighted index, the returns on Stock C have the greatest
influence on the index return because Stock C's market capitalization is larger than
that of Stock A or Stock B.
utqnlihgeaWE
Equal Weighting
An equal-weighted index places an equal weight on the returns of all index stocks,
regardless of their prices or market values. A $2 change in the price of a $20 stock has
the same effect on the index as a $30 change in the price of a $300 stock regardless of
the size of the company. The return of an equal-weighted index over a given period is
often calculated as a simple average of the returns of the index stocks.
©20 15 Kaplan, Inc.
Page 235
Study Session 13
Cross-Reference to CFA Institute Assigned Reading #47 - Security Market Indices
Example: Equally weighted index
Calculate the equal-weighted index value for the three stocks described below,
assuming an initial index value of 131.
Equal-Weighted Index Data
utrponmlkihgecaVSPICA
Stock
Initial Price
Current Price
Price Change
A
$12
$15
+25.00/0B
B
$52
$48
-7.7%
C
$38
$45
+18.40/0
Answer:
change in index = 25% -7.70/0
+ 18.40/0 = 11.90/0
3
new index value
=
131 (1 + 0.119) = 146.59
Note that for a total return index, period returns would include any dividends paid over
the period.
LOS 47 .f: Describe rebalancing and reconstitution of an index.
CPA ® Program Curriculum, Volume 5, page 91
Rebalancing refers to adjusting the weights of securities in a portfolio to their target
weights after price changes have affected the weights. For index calculations, rebalancing
to target weights on the index securities is done on a periodic basis, usually quarterly.
Because the weights in price- and value-weighted indexes (portfolios) are adjusted to
their correct values by changes in prices, rebalancing is an issue primarily for equalweighted indexes. As noted previously, the weights on security returns in an (initially)
equal-weighted portfolio are not equal as securities prices change over time. Therefore,
rebalancing the portfolio at the end of each period used to calculate index returns is
necessary for the portfolio return to match the index return.
Index reconstitution refers to periodically adding and deleting securities that make
up an index. Securities are deleted if they no longer meet the index criteria and are
replaced by other securities that do. Indexes are reconstituted to reflect corporate events
such as bankruptcy or delisting of index firms and are at the subjective judgment of a
•
committee.
When a security is added to an index, its price tends to rise as portfolio managers
seeking to track that index in a portfolio buy the security. The prices of deleted securities
tend to fall as portfolio managers sell them. Note that additions and deletions also
require that the weights on the returns of other index stocks be adjusted to conform to
the desired weighting scheme.
Page 236
©2015 Kaplan, Inc.
Study Session 13
Cross- Reference to CFA Institute Assigned Reading #47 - Security Market Indices
LOS 47.g: Describe uses of security market indices.
xwutsrponmlkjihgfedcbaVRPMFCBA
CFA® Program Curriculum, Volume 5, page 93
Security market indexes have several uses:
•
•
•
•
•
Reflection of market sentiment. Indexes provide a representative market return and
thus reflect investor confidence. Although the Dow Jones Industrial Average is a
popular index, it reflects the performance of only 30 stocks and thus may not be a
good measure of sentiment with regard to the broader market.
Benchmark of manager performance. An index can be used to evaluate the
performance of an active manager. Because portfolio performance depends to a large
degree on its chosen style, the benchmark should be consistent with the manager's
investment approach and style to assess the manager's skill accurately. The index
stocks should be those that the manager will actually choose from. For example, a
value manager should be compared against a value index, not a broad market index,
because portfolio securities will be selected from among value stocks.
Measure of market return and risk.In asset allocation, estimates of the expected
return and standard deviation of returns for various asset classes are based on
historical returns for an index of securities representing that asset class.
Measure of beta and risk-adjusted return. The use of the capital asset pricing model
(CAPM) to determine a stock's expected return requires an estimate of its beta
and the return on the market. Index portfolio returns are used as a proxy for the
returns on the market portfolio, both in estimating a stock's beta, and then again in
calculating its expected return based on its systematic (beta) risk. Expected returns
can then be compared to actual stock returns to determine systematic risk-adjusted
returns.
Model portfolio for index funds. Investors who wish to invest passively can invest in
an index fund, which seeks to replicate the performance of a market index. There are
index mutual funds and index exchange-traded funds, as well as private portfolios
that are structured to match the return of an index.
nA
LOS 47 .h: Describe types of equity indices.
CFA® Program Curriculum, Volume 5, page 95
Investors can use a variety of equity market indexes. These equity indexes can be
classified as follows:
•
•
•
Broad market index. Provides a measure of a market's overall performance and usually
contains more than 900/0 of the market's total value. For example, the Wilshire
5000 Index contains more than 6,000 equity securities and is, therefore, a good
representation of the overall performance of the u.S. equity market.
Multi-market index. Typically constructed from the indexes of markets in several
countries and is used to measure the equity returns of a geographic region (e.g.,
Latin America indexes), markets based on their stage of economic development (e.g.,
emerging markets indexes), or the entire world (e.g., MSCI World Index).
Multi-market index with fundamental weighting. Uses market capitalizationweighting for the country indexes but then weights the country index returns in
the global index by a fundamental factor (e.g., GDP). This prevents a country with
previously high stock returns from being overweighted in a multi-market index.
©20 15 Kaplan, Inc.
Page 237
Study Session 13
Cross-Reference to CFA Institute Assigned Reading #47 - Security Market IndicesyxvutsrqponmlkigfedcaVSPLDCA
•
•
Sector index. Measures the returns for an industry sector such as health care,
financial, or consumer goods firms. Investors can use these indexes in cyclical
analysis because some sectors do better than others in various phases of the business
cycle. Sector indexes can be for a particular country or global. These indexes are used
to evaluate portfolio managers and to construct index portfolios.
Style index. Measures the returns to market capitalization and value or growth
strategies. Some indexes reflect a combination of the two (e.g., small-cap value
fund). Because there is no widely accepted definition of large-cap, mid-cap, or
small-cap stocks, different indexes use different definitions. These definitions may
be specified values of market capitalization or relative definitions, such as defining
large-cap stocks as the largest 500 firms in a given market. In constructing value
stock and growth stock indexes, price-to-earnings ratios or dividend yields are often
used to identify value and growth stocks. Over time, stocks can migrate from one
classification to another. For example, a successful small-cap company might grow to
become a mid-cap or large-cap company. This causes style indexes to typically have
higher turnover of constituent firms than broad market indexes.
LOS 47 .i: Describe types of fixed-income indices.
CPA ® Program Curriculum, Volume 5, page 98
Fixed income securities vary widely with respect to their coupon rates, ratings,
maturities, and embedded options such as convertibility to common stock.
Consequently, a wide variety of fixed income indexes is available. Like equity indexes,
fixed income indexes are created for various sectors, geographic regions, and levels of
country economic development. They can also be constructed based on type of issuer or
collateral, coupon, maturity, default risk, or inflation protection. Broad market indexes,
sector indexes, style indexes, and other specialized indexes are available.
Investors should be aware of several issues with the construction of fixed income indexes:
•
•
Large universe ofsecurities. The fixed income security universe is much broader than
the universe of stocks. Fixed income securities are issued not just by firms, but also
by governments and government agencies. Each of these entities may also issue
various types of fixed income securities. Also, unlike stocks, bonds mature and must
be replaced in fixed income indexes. As a result, turnover is high in fixed income
indexes.
Dealer markets and infrequent trading. Fixed income securities are primarily traded
by dealers, so index providers must depend on dealers for recent prices. Because
fixed income securities are typically illiquid, a lack of recent trades may require index
providers to estimate the value of index securities from recent prices of securities
with similar characteristics.
The large number of fixed income securities results in large differences in the number
of index securities among fixed income indexes. Illiquidity, transactions costs, and high
turnover of constituent securities make it both difficult and expensive for fixed income
portfolio managers to replicate a fixed income index.
Page 238
©2015 Kaplan, Inc.
Study Session 13
Cross- Reference to CFA Institute Assigned Reading #47 - Security Market Indices
LOS 47.j: Describe indices representing alternative investments.
j
vutsrponmlihgedcaWVPFCA
CFA® Program Curriculum, Volume 5, page 101
Alternative assets are of interest to investors because of their potential diversification
benefits. Three of the most widely held alternative assets are commodities, real estate,
and hedge funds.
Commodity indexes represent futures contracts on commodities such as grains,
livestock, metals, and energy. Examples include the Commodity Research Bureau Index
and the S&P GSCI (previously the Goldman Sachs Commodity Index).
The issues in commodity indexes relevant for investors are as follows:
•
•
Weighting method. Commodity index providers use a variety of weighting schemes.
Some use equal weighting, others weight commodities by their global production
values, and others use fixed weights that the index provider determines. & a result,
different indexes have significantly different commodity exposures and risk and
return characteristics. For example, one index may have a large exposure to the
prices of energy commodities while another has a large exposure to the prices of
agricultural products.
Futures vs. actual. Commodity indexes are based on the prices of commodity futures
contracts, not the spot prices of commodities. Commodity futures contracts reflect
the risk-free rate of return, changes in futures prices, and the roll yield. Furthermore,
the contracts mature and must be replaced over time by other contracts. For these
reasons, the return on commodity futures differs from the returns on a long position
in the commodity itself.
Real estate indexes can be constructed using returns based on appraisals of properties,
repeat property sales, or the performance of Real Estate Investment Trusts (REITs).
REITs are similar to closed-end mutual funds in that they invest in properties or
mortgages and then issue ownership interests in the pool of assets to investors. While
real properties are quite illiquid, REIT shares trade like any common shares and many
offer very good liquidity to investors. FTSE International produces a family of REIT
indexes.
Hedge funds pool investor money and invest in nontraditional assets, using leverage
(borrowed money or derivative contracts) and both long and short positions. Most
hedge fund indexes equally weight the returns of the hedge funds included in the index.
Hedge funds are largely unregulated and are not required to report their performance to
index providers. Consequently, some funds will report to one index but not another. The
performance of different indexes can thus vary substantially.
Furthermore, it is often the case that those funds that report are the funds that
have been successful, as the poorly performing funds do not want to publicize their
performance. Funds that have reported in the past but have recently had poor returns
may stop reporting their performance. The result is an upward bias in index returns,
with hedge funds appearing to be better investments than they actually are.
©20 15 Kaplan, Inc.
Page 239
Study Session 13
Cross-Reference to CFA Institute Assigned Reading #47 - Security Market IndicesyxvutsrponmlihgfedcbaWVSRPNMICA
Professor's Note: Commodities (including the components of return on a
commodity investment), real estate, and hedge funds (including hedge fund
performance biases) are discussed further in the Study Session on alternative
investments.
LOS 47 .k: Compare types of security market indices.
CPA ® Program Curriculum, Volume 5, page 103
The following table summarizes some of the noteworthy characteristics of various
global indexes. Notice from the table that most security market indexes are market
capitalization-weighted and often adjusted for the float (securities actually available for
purchase). The number of securities in many of these indexes can vary.
Index
Dow Jones
Industrial Average
Nikkei Stock
Average
TOPIX
Reflects
Large U.S. stocks
Large Japanese
stocks
Weighting Method
Notes
Price
Stocks are chosen
by Wall Street
Journal editors
Modified price
Contains some
illiquid stocks,
price weighting
and adjusted for
high-priced shares
Variable
Market
capitalization,
adjusted for float
Has a large
number of small
illiquid stocks
making it hard to
replicate. Contains
930/0 of the market
cap of Japanese
equities
Variable
Market
capitalization,
adjusted for float
Available in both
U.S. dollars and
local currency
Variable
Market
capitalization,
adjusted for float
Is the model
portfolio for an
ETF
30
225
All stocks on
the Tokyo Stock
Exchange First
Section
MSCI All
Country World
Index
S&P Developed
Ex-U.S. BMI
Energy Sector
Index
Barclays Capital
Global Aggregate
Bond Index
Global energy
stocks outside the
United States
Markit iBoxx
Euro High-Yield
Bond Indexes
Below
investment-grade
bonds
FTSERPIEA
EPRAI
NAREIT Global
Real Estate Index
Page 240
Number of
Constituent
Securities
Stocks in 23
developed and 22
emerging markets
Global
investment-grade
bonds
Global real estate
Variable
Market
capitalization
Variable
Market
capitalization
335
Market
capitalization,
adjusted for float
©2015 Kaplan, Inc.
Formerly compiled
by Lehman
Brothers
Represents liquid
portion of market
and rebalanced
monthly
Represents
publicly traded
REITs
Study Session 13
Cross- Reference to CFA Institute Assigned Reading #47 - Security Market IndicesxutsronmlihgfedcbW
Index
HFRX Global
Hedge Fund
Index
HFRXEqual
Weighted
Strategies EUR
Index
Morningstar Style
Indexes
Reflects
Global hedge
funds
Global hedge
funds
U.S. stocks
grouped by
value/ growth and
market cap
Number of
Constituent
Securities
Variable
Variable
Variable
©20 15 Kaplan, Inc.
Weighting Method
Notes
Asset weighted
Contains a variety
of hedge fund
strategies and is
weighted based
on the amount
invested in each
hedge fund
Equal weighted
Contains same
strategy funds as
HFRX Global
Hedge Fund
Index and is equal
weighted
Market
capitalization,
adjusted for float
Nine categories
classified by
combinations
of three cap
categories and
three value/growth
•
categories
Page 241
Study Session 13
Cross-Reference to CFA Institute Assigned Reading #47 - Security Market Indices
LOS 47.a
A security market index represents the performance of an asset class, security market, or
segment of a market. The performance of the market or segment over a period of time is
represented by the percentage change in (i.e., the return on) the value of the index.
LOS 47.h
A price index uses only the prices of the constituent
The rate of return is called a price return.
securities in the return calculation.
A total return index uses both the price of and the income from the index securities in
the return calculation.
LOS 47.c
Decisions that index providers must make when constructing and managing indexes
include:
•
The target market the index will measure.
•
Which securities from the target market to include.
•
The appropriate weighting method.
•
How frequently to rebalance the index to its target weights.
•
How frequently to re-examine the selection and weighting of securities.
LOS 47.d
A price-weighted index is the arithmetic mean of the prices of the index securities. The
divisor, which is initially equal to the number of securities in the index, must be adjusted
for stock splits and changes in the composition of the index over time.
An equal-weighted
index assigns the same weight to each of its constituent
securities.
A market capitalization-weighted index gives each constituent security a weight
equal to its proportion of the total market value of all securities in the index. Market
capitalization can be adjusted for a security's market float or free float to reflect the fact
that not all outstanding shares are available for purchase.
A fundamental-weighted
index uses weights that are independent
as company earnings, revenue, assets, or cash flow.
of security prices, such
LOS 47.e
.
. h d i d
P rice-weig te In ex =
xiXI
sum of stock prices
.
number of stocks in index adjusted for splits
Market capitalization-weighted index =
current total market value of index stocks
------------------
X
b
. d
I
ase year In ex va ue.
base year total market value of index stocks
Equal-weighted index = (1 + average percentage change in index stocks) x initial index value.
Page 242
©2015 Kaplan, Inc.
Study Session 13
Cross- Reference to CFA Institute Assigned Reading #47 - Security Market Indices
LOS 47.f
Index providers periodically rebalance the weights of the constituent securities. This is
most important for equal-weighted indexes.
Reconstitution refers to changing the securities that are included in an index.
This is necessary when securities mature or when they no longer have the required
characteristics to be included.
LOS 47.g
Indexes are used for the following purposes:
•
Reflection of market sentiment.
•
Benchmark of manager performance.
•
Measure of market return.
•
Measure of beta and excess return.
•
Model portfolio for index funds.
LOS 47.h
Broad market equity indexes represent the majority of stocks in a market.
Multi-market equity indexes contain the indexes of several countries. Multi-market
equity indexes with fundamental weighting use market capitalization weighting for the
securities within a country's market but then weight the countries within the global
index by a fundamental factor.
Sector indexes measure the returns for a sector (e.g., health care) and are useful because
some sectors do better than others in certain business cycle phases. These indexes are
used to evaluate portfolio managers and as models for sector investment funds.
Style indexes measure the returns to market capitalization and value or growth strategies.
Stocks tend to migrate among classifications, which causes style indexes to have higher
constituent turnover than broad market indexes.
LOS 47.i
Fixed income indexes can be classified by issuer, collateral, coupon, maturity, credit
risk (e.g., investment grade versus high-yield), and inflation protection. They can be
delineated as broad market, sector, style, or other specialized indexes. Indexes exist for
various sectors, regions, and levels of development.
The fixed income security universe is much broader than the equity universe, and
fixed income indexes have higher turnover. Index providers must depend on dealers for
fixed income security prices, and the securities are often illiquid. Fixed income security
indexes vary widely in their numbers of constituent securities and can be difficult and
expensive to replicate.
©20 15 Kaplan, Inc.
Page 243
Study Session 13
Cross-Reference to CFA Institute Assigned Reading #47 - Security Market Indices
LOS 47.j
Indexes have been developed to represent markets for alternative assets such as
commodities, real estate, and hedge funds.
Issues in creating commodity indexes include the weighting method (different indexes
can have vastly different commodity weights and resulting risk and return) and the fact
that commodity indexes are based on the performance of commodity futures contracts,
not the actual commodities, which can result in different performance for a commodity
index versus the actual commodity.
Real estate indexes include appraisal indexes, repeat property sales indexes, and indexes
of real estate investment trusts.
Because hedge funds report their performance to index providers voluntarily, the
performance of different hedge fund indexes can vary substantially and index returns
have an upward bias.
LOS 47.k
Security market indexes available from commercial providers represent a variety of asset
classes and reflect target markets that can be classified by:
•
Geographic location, such as country, regional, or globalindexes.
•
Sector or industry, such as indexes of energy producers.
•
Level of economic development, such as emerging market indexes.
•
Fundamental factors, such as indexes of value stocks or growth stocks.
Page 244
©2015 Kaplan, Inc.
Study Session 13
Cross- Reference to CFA Institute Assigned Reading #47 - Security Market Indices
Use the information in the following table to answer Questions 1 through 3.
As of December 31
As of January 1
Share
Price
Number of Shares
Outstanding
(thousands)
Share
Price
Number of Shares
Outstanding
(thousands)
Stock A
$22
1,500
$28
1,500
Stock B
$40
10,000
$50
10,000
Stock C
$34
3,000yutsronmlkihgfedcbaSPONJDA$30
3,000
nCBA
1.
The I-year return on a price-weighted index of these three stocks is closest to:
A. 12.50/0.
B. 13.50/0.
C. 18.00/0.
2.
The I-year return on an equal-weighted index of these three stocks is closest to:
A. 12.0%.
B. 12.50/0.
C. 13.50/0.
3.
The I-year return on a market capitalization-weighted
closest to:
A. 12.50/0.
B. 13.50/0.
C. 18.00/0.
4.
Market float of a stock is best described as its:
A. total outstanding shares.
B. shares that are available to domestic investors.
C. outstanding shares excluding those held by controlling shareholders.
5.
For
A.
B.
C.
6.
Which of the following would most likely represent an inappropriate use of an
index?
A. As a reflection of market sentiment.
B. Comparing a small-cap manager against a broad market.
C. Using the CAPM to determine the expected return and beta.
index of these stocks is
which of the following indexes will rebalancing occur most frequently?
A price-weighted index.
An equal-weighted index.
A market capitalization-weighted index.
©20 15 Kaplan, Inc.
Page 245
Study Session 13
Cross-Reference to CFA Institute Assigned Reading #47 - Security Market Indices
7.
Which of the following is least accurate regarding fixed income indexes?
A. Replicating the return on a fixed income security index is difficult for
•
Investors.
B. There is a great deal of heterogeneity in the composition of fixed income
security indexes.
c. Due to the large universe of fixed income security issues, data for fixed
income securities are relatively easy to obtain.
utsrleca
c
8.
Page 246
Most of the widely used global security indexes are:
A. price-weighted.
B. equal-weighted.
C. market capitalization-weighted.
©2015 Kaplan, Inc.
Study Session 13
Cross- Reference to CFA Institute Assigned Reading #47 - Security Market Indices
1.
2.
3.
A
C
C
22+40+34
3
28
--1
22
= 32 28+50+30
'
3
50
+ --1
40
30
+ --1
34
=36
1
3
36 -1=0.125=12.5%
' 32
= 0.135 = 13.50/0
Total portfolio value January 1:
22(1,500) + 40(10,000) + 34(3,000) = $535,000
Total portfolio value December 31:
28(1,500) + 50(10,000) + 30(3,000) = $632,000
632 -1 = 0.1813 ~ 18%
535
From a base value of 100, the December 31 index value would be 632 x l 00 = 118.13.
535
4.
C
Market float represents shares available to the investing public and excludes shares held
by controlling shareholders. Free float is a narrower measure that also excludes shares
that are not available to foreign investors.
5.
B
An equal-weighted index will be rebalanced most frequently because as stock prices
change, their representation in the index needs to be adjusted. Price-weighted and
market capitalization-weighted indexes do not usually need rebalancing.
6.
B
Comparing a small-cap manager against a broad market would be an inappropriate use
of an index. A benchmark should be consistent with the manager's investment approach
and style. A manager's performance will depend to a large degree on its chosen style.
7.
C
Fixed income securities are largely traded by dealers and trade infrequently. Data are
therefore difficult to obtain.
8.
C
Most global security indexes are market capitalization-weighted
to reflect the amount of shares available to investors.
©20 15 Kaplan, Inc.
with a float adjustment
Page 247
The following is a review of the Equity: Market Organization, Market Indices, and Market Efficiency
principles designed to address the learning outcome statements set forth by CFA Institute. CrossReference to CFA Institute Assigned Reading #48.YTRNMKIFECA
MARKET EFFICIENCY
Study Session 13nXMEA
EXAM Focus
The informational efficiency of market prices is a very important concept to a portfolio
manager. When markets are truly efficient, careful analysis and security selection using
publicly available information will not lead to positive risk-adjusted returns on average.
For the exam, you must understand the three forms of market efficiency and know
the evidence from tests of each form of market efficiency. Focus your attention on the
implications of this evidence about the value of technical and fundamental analysis and
about the role of portfolio managers in the investment process. Finally, be familiar with
market anomalies listed and the perspective provided by behavioral finance.
LOS 48.a: Describe market efficiency and related concepts, including their
•
•
• •
Importance to Investment practrnoners.
urpomligecaVPCA
CPA ® Program Curriculum, Volume 5, page 117
An informationally efficient capital market is one in which the current price of a
security fully, quickly, and rationally reflects all available information about that
security. This is really a statistical concept. An academic might say, "Given all available
information, current securities prices are unbiased estimates of their values, so that the
expected return on any security is just the equilibrium return necessary to compensate
investors for the risk (uncertainty) regarding its future cash flows." This concept is often
put more intuitively as, "You can't beat the market."
In a perfectly efficient market, investors should use a passive investment strategy
(i.e., buying a broad market index of stocks and holding it) because active investment
strategies will underperform due to transactions costs and management fees. However,
to the extent that market prices are inefficient, active investment strategies can generate
positive risk-adjusted returns.
One method of measuring a market's efficiency is to determine the time it takes for
trading activity to cause information to be reflected in security prices (i.e., the lag from
the time information is disseminated to the time prices reflect the value implications of
that information). In some very efficient markets, such as foreign currency markets, this
lag can be as short as a minute. If there is a significant lag, informed traders can use the
information to potentially generate positive risk-adjusted returns.
Note that market prices should not be affected by the release of information that is
well anticipated. Only new information (information that is unexpected and changes
expectations) should move prices. The announcement that a firm's earnings were up 450/0
over the last quarter may be good news if the expected increase was 200/0. On the other
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hand, this may be bad news if a 700/0 increase was anticipated or no news at all if market
participants correctly anticipated quarterly earnings.
LOS 48.b: Distinguish between market value and intrinsic value.
urpomligecaVPFCA
CFA® Program Curriculum, Volume 5, page 119
The market value of an asset is its current price. The intrinsic value or fundamental
value of an asset is the value that a rational investor with full knowledge about the asset's
characteristics would willingly pay. For example, a bond investor would fully know and
understand a bond's coupon, maturity, default risk, liquidity, and other characteristics
and would use these to estimate its intrinsic value.
In markets that are highly efficient, investors can typically expect market values to reflect
intrinsic values. If markets are not completely efficient, active managers will buy assets
for which they think intrinsic values are greater than market values and sell assets for
which they think intrinsic values are less than market values.
Intrinsic values cannot be known with certainty and are estimated by investors who
will have differing estimates of an asset's intrinsic value. The more complex an asset,
the more difficult it is to estimate its intrinsic value. Furthermore, intrinsic value is
constantly changing as new (unexpected) information becomes available.
LOS 48.c: Explain factors that affect a market's efficiency.
CFA ® Program Curriculum, Volume 5, page 120
Markets are generally neither perfectly efficient nor completely inefficient. The degree of
informational efficiency varies across countries, time, and market types. The following
factors affect the degree of market efficiency.
Number of market participants. The larger the number of investors, analysts, and
traders who follow an asset market, the more efficient the market. The number of
participants can vary through time and across countries. For example, some countries
prevent foreigners from trading in their markets, reducing market efficiency.
Availability of information. The more information is available to investors, the more
efficient the market. In large, developed markets such as the New York Stock Exchange,
information is plentiful and markets are quite efficient. In emerging markets, the
availability of information is lower, and consequently, market prices are relatively less
efficient. Some assets, such as bonds, currencies, swaps, forwards, mortgages, and money
market securities that trade in over-the-counter (OTC) markets, may have less available
information.
Access to information should not favor one party over another. Therefore, regulations
such as the u.S. Securities and Exchange Commission's Regulation FD (fair disclosure)
require that firms disclose the same information to the public that they disclose to stock
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analysts. Traders with material inside information about a firm are prohibited from
trading on that information.
Impediments to trading. Arbitrage refers to buying an asset in one market and
simultaneously selling it at a higher price in another market. This buying and selling
of assets will continue until the prices in the two markets are equal. Impediments to
arbitrage, such as high transactions costs or lack of information, will limit arbitrage
activity and allow some price inefficiencies (i.e., mispricing of assets) to persist.
Short selling improves market efficiency. The sales pressure from short selling prevents
assets from becoming overvalued. Restrictions on short selling, such as an inability to
borrow stock cheaply, can reduce market efficiency.
Transaction and information costs. To the extent that the costs of information, analysis,
and trading are greater than the potential profit from trading misvalued securities,
market prices will be inefficient. It is generally accepted that markets are efficient if, after
deducting costs, there are no risk-adjusted returns to be made from trading based on
publicly available information.
LOS 48.d: Contrast weak-form, semi-strong-form,
efficiency.
and strong-form market
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CFA® Program Curriculum, Volume 5, page 124
Professor Eugene Fama originally developed the concept of market efficiency and
identified three forms of market efficiency. The difference among them is that each is
based on a different set of information.
1. Weak-form market efficiency. The weak form of the efficient markets hypothesis
(EM H) states that current security prices fully reflect all currently available security
market data. Thus, past price and volume (market) information will have no
predictive power about the future direction of security prices because price changes
will be independent from one period to the next. In a weak-form efficient market, an
investor cannot achieve positive risk-adjusted returns on average by using technical
analysis.
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2.
Semi-strong form market efficiency. The semi-strong form of the EMH holds that
security prices rapidly adjust without bias to the arrival of all new public information.
As such, current security prices fully reflect all publicly available information. The
semi-strong form says security prices include all past security market information and
nonmarket information available to the public. The implication is that an investor
cannot achieve positive risk-adjusted returns on average by using fundamental analysis.
3.
Strong-form market efficiency. The strong form of the EMH states that security
prices fully reflect all information from both public and private sources. The strong form
includes all types of information: past security market information, public, and
private (inside) information. This means that no group of investors has monopolistic
access to information relevant to the formation of prices, and none should be able to
consistently achieve positive abnormal returns.
©2015 Kaplan, Inc.
Study Session 13
Cross- Reference to CFA Institute Assigned Reading #48 - Market Efficiency
Given the prohibition on insider trading in most markets, it would be unrealistic to
expect markets to reflect all private information. The evidence supports the view that
markets are not strong-form efficient.
ywvutsrponmlkihgfedcbaVPNMHFECA
Professor's Note: As a base level knowledge of the EMH, you should know that
the weak form is based on past security market information; the semi-strong
form is based on all public information (including market information); and
the strong form is based on both public information and inside or private
information.
LOS 48.e: Explain the implications of each form of market efficiency for
fundamental analysis, technical analysis, and the choice between active and
passive portfolio management.
CFA® Program Curriculum, Volume 5, page 128
Abnormal profit (or risk-adjusted returns) calculations are often used to test market
efficiency. To calculate abnormal profits, the expected return for a trading strategy is
calculated given its risk, using a model of expected returns such as the CAPM or a
multifactor model. If returns are, on average, greater than equilibrium expected returns,
we can reject the hypothesis of efficient prices with respect to the information on which
the strategy is based.
The results of tests of the various forms of market efficiency have implications about the
value of technical analysis, fundamental analysis, and portfolio management in general.
Technical analysis seeks to earn positive risk-adjusted returns by using historical price
and volume (trading) data. Tests of weak-form market efficiency have examined whether
technical analysis produces abnormal profits. Generally, the evidence indicates that
technical analysis does not produce abnormal profits, so we cannot reject the hypothesis
that markets are weak-form efficient. However, technical analysis has been shown to have
success in emerging markets, and there are so many possible technical analysis trading
strategies that they cannot all be tested. As noted previously, the success of any technical
analysis strategy should be evaluated considering the costs of information, analysis, and
trading.
Fundamental analysis is based on public information such as earnings, dividends, and
various accounting ratios and estimates. The semi-strong form of market efficiency
suggests that all public information is already reflected in stock prices. As a result,
investors should not be able to earn abnormal profits by trading on this information.
One method of testing the semi-strong form is an event study. Event studies examine
abnormal returns before and after the release of new information that affects a firm's
intrinsic value, such as earnings announcements or dividend changes. The null
hypothesis is that investors should not be able to earn positive abnormal returns on
average by trading based on firm events because prices will rapidly reflect news about a
firm's prospects. The evidence in developed markets indicates that markets are generally
semi-strong form efficient. However, there is evidence of semi-strong form inefficiency
in some emerging markets.
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The evidence that developed markets are generally semi-strong form efficient raises
questions about the usefulness of fundamental analysis. It must be fundamental analysis,
however, that results in informationally efficient market prices. Fundamental analysis
can also be of use to those exceptionally skilled investors who can generate abnormal
profits through its use and to those who act rapidly before new information is reflected
•
•
In prIces.
ywutsrponmlkihgfedcbaVPNMFCA
Professor's Note: Markets can be weak-form efficient without being semi-strong
or strong-form efficient. If markets are semi-strong form efficient, they must be
weak-form efficient because public information includes market information,
but semi-strong form efficient markets need not be strong-form efficient.
fI
Active vs. Passive Portfolio Management
If markets are semi-strong form efficient, investors should invest passively (i.e., invest in
an index portfolio that replicates the returns on a market index). Indeed, the evidence
shows that most mutual fund managers cannot outperform a passive index strategy over
•
time.
If so, what is the role of a portfolio manager? Even if markets are efficient, portfolio
managers can add value by establishing and implementing portfolio risk and return
objectives and by assisting clients with portfolio diversification, asset allocation, and tax
management.
LOS 48.f: Describe market anomalies.
CFA® Program Curriculum, Volume 5, page 129
An anomaly is something that deviates from the common rule. Tests of the EMH are
frequently called anomaly studies, so in the efficient markets literature, a market anomaly
is something that would lead us to reject the hypothesis of market efficiency.
Just by chance, some variables will be related to abnormal returns over a given period,
although in fact these relationships are unlikely to persist over time. Thus, analysts
using historical data can find patterns in security returns that appear to violate market
efficiency but are unlikely to recur in the future. If the analyst uses a 50/0 significance
level and examines the relationship between stock returns and 40 variables, two of the
variables are expected to show a statistically significant relationship with stock returns by
random chance. Recall that the significance level of a hypothesis test is the probability
that the null hypothesis (efficiency here) will be rejected purely by chance, even when
it is true. Investigating data until a statistically significant relation is found is referred
to as data mining or data snooping. Note that 1,000 analysts, each testing different
hypotheses on the same data set, could produce the same results as a single researcher
who performed 1,000 hypothesis tests.
To avoid data-mining bias, analysts should first ask if there is an economic basis for the
relationships they find between certain variables and stock returns and then test the
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discovered relationships with a large sample of data to determine if the relationships are
persistent and present in various subperiods.
ywutsronmlkihfedcaTSDCA
Anomalies in Time-Series Data
Calendar anomalies. The January effect or turn-of-the-year effect is the finding
that during the first five days of January, stock returns, especially for small firms, are
significantly higher than they are the rest of the year. In an efficient market, traders
would exploit this profit opportunity in January, and in so doing, eliminate it.
Possible explanations for the January effect are tax-loss selling, as investors sell losing
positions in December to realize losses for tax purposes and then repurchase stocks in
January, pushing their prices up, and window dressing, as portfolio managers sell risky
stocks in December to remove them from their year-end statements and repurchase them
in January. Evidence indicates that each of these explains only a portion of the January
effect. However, after adjustments are made for risk, the January effect does not appear
•
•
to persIst over time.
Other calendar anomalies that were found at one time but no longer appear to persist
are the turn-of the-month effect (stock returns are higher in the days surrounding month
end), the day-of the-week effect (average Monday returns are negative), the weekend effect
(positive Friday returns are followed by negative Monday returns), and the holiday effect
(pre-holiday returns are higher).
Overreaction and momentum anomalies. The overreaction effect refers to the finding
that firms with poor stock returns over the previous three or five years (losers) have
better subsequent returns than firms that had high stock returns over the prior period.
This pattern has been attributed to investor overreaction to both unexpected good
news and unexpected bad news. This pattern is also present for bonds and in some
international markets. Momentum effects have also been found where high shortterm returns are followed by continued high returns. This pattern is present in some
international markets as well.
Both the overreaction and momentum effects violate the weak form of market efficiency
because they provide evidence of a profitable strategy based only on market data. Some
researchers argue that the evidence of overreaction to new information is due to the
nature of the statistical tests used and that evidence of momentum effects in securities
prices reflects rational investor behavior.
Anomalies in Cross-Sectional Data
The size effect refers to initial findings that small-cap stocks outperform large-cap
stocks. This effect could not be confirmed in later studies, suggesting that either
investors had traded on, and thereby eliminated, this anomaly or that the initial finding
was simply a random result for the time period examined.
The value effect refers to the finding that value stocks [those with lower priceto-earnings (PIE), lower market-to-book (M/B), and higher dividend yields] have
outperformed growth stocks (those with higher PIE, higher MIB, and lower dividend
PMIEB
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yields). This violates the semi-strong form of market efficiency because the information
necessary to classify stocks as value or growth is publicly available. However, some
researchers attribute the value effect to greater risk of value stocks that is not captured in
the risk adjustment procedure used in the studies.
zwvutsrponmlkihgfedcaTSPONMIA
Other Anomalies
Closed-end investment funds. The shares of closed-end investment funds trade at
prices that sometimes deviate from the net asset value (NAV) of the fund shares, often
trading at large discounts to NAY. Such large discounts are an anomaly because, by
arbitrage, the value of the pool of assets should be the same as the market price for
closed-end shares. Various explanations have been put forth to explain this anomaly,
including management fees, taxes on future capital gains, and share illiquidity. None of
these explanations fully explains the pricing discrepancy. However, transactions costs
would eliminate any profits from exploiting the unexplained portion of closed-end fund
discounts.
Earnings announcements. An earnings surprise is that portion of announced earnings
that was not expected by the market. Positive earnings surprises (earnings higher than
expected) precede periods of positive risk-adjusted post-announcement stock returns,
and negative surprises lead to predictable negative risk-adjusted returns. The anomaly is
that the adjustment process does not occur entirely on the announcement day. Investors
could exploit this anomaly by buying positive earnings surprise firms and selling negative
earnings surprise firms. Some researchers argue that evidence of predictable abnormal
returns after earnings surprises is a result of estimating risk-adjusted returns incorrectly
in the tests and that transactions costs would eliminate any abnormal profits from
attempting to exploit this returns anomaly.
nA
Initial public offerings. IPOs are typically underpriced, with the offer price below the
market price once trading begins. However, the long-term performance of IPO shares
as a group is below average. This suggests that investors overreact, in that they are too
optimistic about a firm's prospects on the offer day. Some believe this is not an anomaly,
but rather a result of the statistical methodologies used to estimate abnormal returns.
Professor'sNote: The initial underpricing of IPOs is also discussed in the topic
review of Market Organization and Structure.
Economic fundamentals. Research has found that stock returns are related to known
economic fundamentals such as dividend yields, stock volatility, and interest rates.
However, we would expect stock returns to be related to economic fundamentals in
efficient markets. The relationship between stock returns and dividend yields is also not
consistent over all time periods.
Implications for Investors
The majority of the evidence suggests that reported anomalies are not violations of
market efficiency but are due to the methodologies used in the tests of market efficiency.
Furthermore, both underreaction and overreaction have been found in the markets,
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meaning that prices are efficient on average. Other explanations for the evidence of
anomalies are that they are transient relations, too small to profit from, or simply reflect
returns to risk that the researchers have failed to account for.
The bottom line for investors is that portfolio management based on previously
identified anomalies will likely be unprofitable. Investment management based solely on
anomalies has no sound economic basis.
LOS 48.g: Describe behavioral finance and its potential relevance to
understanding market anomalies.
urpomligecaVPCA
CPA ® Program Curriculum, Volume 5, page 136
Behavioral finance examines the actual decision-making processes of investors. Many
observers have concluded that investors are not the rational utility-maximizing decision
makers with complete information that traditional finance assumes they are. Investors
appear to exhibit bias in their decision making, base decisions on the actions of others,
and not evaluate risk in the way traditional models assume they do.
Various types of investor irrationality have been proposed as explanations for reported
pricing anomalies. Whether widespread investor irrationality is the underlying cause
of reported returns anomalies is an open question. Market efficiency does not require
an assumption that every investor acts rationally in accordance with traditional finance
theory. Semi-strong form market efficiency requires that investors cannot earn positive
abnormal returns on average (beat the market) using public information. The evidence
on market efficiency certainly suggests that this is the case. Evidence that some investors
exhibit bias, or other deviations from perfect rationality, in their investment decision
making does not necessarily mean that market prices themselves are irrational, at least
not in ways that lead to violations of market efficiency.
Observed investor behaviors and biases that are considered evidence of irrational
behavior include:
•
•
•
Loss aversion, which refers to the tendency of investors tobe more risk averse
when faced with potential losses than they are when faced with potential gains. Put
another way, investors dislike a loss more than they like a gain of an equal amount.
Investor overconfidence, which is a tendency of investors to overestimate their
abilities to analyze security information and identify differences between securities'
market prices and intrinsic values.
Herding, which is a tendency of investors to act in concert on the same side of the
market, acting not on private analysis, but mimicking the investment actions of
other investors.
An information cascade results when investors mimic the decisions of others. The idea
is that uninformed or less-informed traders watch the actions of informed traders and
follow their investment actions. If those who act first are more knowledgeable investors,
others following their actions may, in fact, be part of the process of incorporating new
information into securities prices and actually move market prices toward their intrinsic
values, improving informational efficiency.
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Behavioral finance can explain how securities' market prices can deviate from rational
prices and be biased estimates of intrinsic value. If investor rationality is viewed as a
prerequisite for market efficiency, then markets are not efficient. If market efficiency
only requires that investors cannot consistently earn abnormal risk-adjusted returns,
then research supports the belief that markets are efficient.
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LOS 48.a
In an informationally efficient capital market, security prices reflect all available
information fully, quickly, and rationally. The more efficient a market is, the quicker
its reaction will be to new information. Only unexpected information should elicit a
response from traders.
If the market is fully efficient, active investment strategies cannot earn positive riskadjusted returns consistently, and investors should therefore use a passive strategy.
LOS 48.b
An asset's market value is the price at which it can currently be bought or sold.
An asset's intrinsic value is the price that investors with full knowledge of the asset's
characteristics would place on the asset.
LOS 48.c
Large numbers of market participants and greater information availability tend to make
markets more efficient.
Impediments to arbitrage and short selling and high costs of trading and gathering
information tend to make markets less efficient.
LOS 48.d
The weak form of the efficient markets hypothesis (EM H) states that security prices fully
reflect all past price and volume information.
The semi-strong form of the EMH states that security prices fully reflect all publicly
available information.
The strong form of the EMH states that security prices fully reflect all public and private
information.
LOS 48.e
If markets are weak-form efficient, technical analysis does not consistently result in
abnormal profits.
If markets are semi-strong form efficient, fundamental analysis does not consistently
result in abnormal profits. However, fundamental analysis is necessary if market prices
are to be semi-strong form efficient.
If markets are strong-form efficient, active investment management does not consistently
result in abnormal profits.
Even if markets are strong-form efficient, portfolio managers can add value by
establishing and implementing portfolio risk and return objectives and assisting with
portfolio diversification, asset allocation, and tax minimization.
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LOS 48.£
A market anomaly is something that deviates from the efficient market hypothesis.
Most evidence suggests anomalies are not violations of market efficiency but are due to
the methodologies used in anomaly research, such as data mining or failing to adjust
adequately for risk.
Anomalies that have been identified in time-series data include calendar anomalies such
as the January effect (small firm stock returns are higher at the beginning of January),
overreaction anomalies (stock returns subsequently reverse), and momentum anomalies
(high short-term returns are followed by continued high returns).
Anomalies that have been identified in cross-sectional data include a size effect (smallcap stocks outperform large-cap stocks) and a value effect (value stocks outperform
growth stocks).
Other identified anomalies involve closed-end investment funds selling at a discount
to NAV, slow adjustments to earnings surprises, investor overreaction to and long-term
underperformance of lPOs, and a relationship between stock returns and prior economic
fundamen tals.
LOS 48.g
Behavioral finance examines whether investors behave rationally, how investor behavior
affects financial markets, and how cognitive biases may result in anomalies. Behavioral
finance describes investor irrationality but does not necessarily refute market efficiency
as long as investors cannot consistently earn abnormal risk-adjusted returns.
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1.
In
A.
B.
C.
an informationally efficient capital market:
active managers can generate abnormal profits.
security prices quickly reflect new information.
investors react to all information releases rapidly.
2.
In terms of market efficiency, short selling most likely:
A. leads to excess volatility, which reduces market efficiency.
B. promotes market efficiency by making assets less likely to become
overvalued.
C. has little effect on market efficiency because short sellers face the risk of
unlimited losses.
3.
The intrinsic value of an asset:
A. changes through time as new information is released.
B. is the price at which the asset can be bought or sold at a given point in time.
C. can be easily determined with a financial calculator, given investor risk
preferences.
4.
The weak-form EMH asserts that stock prices fully reflect which of the
following types of information?
A. Market only.
B. Market and public.
C. Public and private.
5.
Research has revealed that the performance of professional money managers
tends to be:
A. equal to the performance of a passive investment strategy.
B. inferior to the performance of a passive investment strategy.
C. superior to the performance of a passive investment strategy.
6.
Which of the following best describes the majority of the evidence regarding
anomalies in stock returns?
A. Weak-form market efficiency holds but semi-strong form efficiency does not.
B. Neither weak-form nor semi-strong form market efficiency holds.
C. Reported anomalies are not violations of market efficiency but are the result
of research methodologies.
7.
Investors who exhibit loss aversion most likely:
A. have symmetric risk preferences.
B. are highly risk averse.
C. dislike losses more than they like equal gains.
ytsomlkieb
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Page 260
1.
B
In informationally efficient capital markets, new information is quickly reflected
in security prices. Investors react only to unexpected information releases because
information releases that are expected will already be reflected in securities prices. Active
strategies will underperform in an efficient market because they have greater transactions
and management costs than passive strategies and will not consistently create positive
abnormal returns after adjusting for risk.
2.
B
Short selling promotes market efficiency because the sales pressure from short selling can
reduce the prices of assets that have become overvalued.
3.
A
Intrinsic value changes as new information arrives in the marketplace. It cannot be
known with certainty and can only be estimated. The price of an asset at a given point in
time is its market value, which will differ from its intrinsic value if markets are not fully
efficient.
4.
A
Weak-form EMH states that stock prices fully reflect all market (i.e., price and volume)
information.
5.
B
Tests indicate that mutual fund performance has been inferior to that of a passive index
strategy.
6.
C
The majority of evidence is that anomalies are not violations of market efficiency but are
due to the research methodologies used. Portfolio management based on anomalies will
likely be unprofitable after transactions costs are considered.
7.
C
Loss aversion refers to the tendency of investors to be more risk averse when faced
with potential losses and less risk averse when faced with potential gains. That is, they
dislike losses more than they like gains of an equal amount. Their risk preferences are
•
asymmetric.
©2015 Kaplan, Inc.
The following is a review of the Equity Analysis and Valuation principles designed to address the learning
outcome statements set forth by CFA Institute. Cross-Reference to CFA Institute Assigned Reading #49.YWVUTSRQOIEC
OVERVIEW" OF EQUITY SECURITIES
OF
Study Session 14XMEA
EXAM Focus
Equities have higher returns than bonds and bills, but also higher risk. Know the
characteristics of common and preferred equity types, as well as the methods of investing
in foreign stock. Understand the difference between the book value of equity and market
value of equity and what this difference represents.
LOS 49.a: Describe characteristics of types of equity securities.
urpomligecaVPFCA
CFA® Program Curriculum, Volume 5, page 155
Common shares are the most common form of equity and represent an ownership
interest. Common shareholders have a residual claim (after the claims of debtholders
and preferred stockholders) on firm assets if the firm is liquidated and govern the
corporation through voting rights. Firms are under no obligation to pay dividends on
common equity; the firm determines what dividend will be paid periodically. Common
stockholders are able to vote for the board of directors, on merger decisions, and on the
selection of auditors. If they are unable to attend the annual meeting, shareholders can
vote by proxy (having someone else vote as they direct them, on their behalf).
In a statutory voting system, each share held is assigned one vote in the election of each
member of the board of directors. Under cumulative voting, shareholders can allocate
their votes to one or more candidates as they choose. For example, consider a situation
where a shareholder has 100 shares and three directors will be elected. Under statutory
voting, the shareholder can vote 100 shares for his director choice in each election.
Under cumulative voting, the shareholder has 300 votes, which can be cast for a single
candidate or spread across multiple candidates. The three receiving the greatest number
of votes are elected. Cumulative voting makes it possible for a minority shareholder to
have more proportional representation on the board. The way the math works, a holder
of 300/0 of the firm's shares could choose three of ten directors with cumulative voting
but could elect no directors under statutory voting.
Callable common shares give the firm the right to repurchase the stock at a pre-specified
call price. Investors receive a fixed amount when the firm calls the stock. The call feature
benefits the firm because when the stock's market price is greater than the call price,
the firm can call the shares and reissue them later at a higher price. Calling the shares,
similarly to the repurchase of shares, allows the firm to reduce its dividend payments
without changing its per-share dividend.
Putable common shares give the shareholder the right to sell the shares back to the
firm at a specific price. A put option on the shares benefits the shareholder because it
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effectively places a floor under the share value. Shareholders pay for the put option
because other things equal, putable shares are sold for higher prices than non-putable
shares and raise more capital for the firm when they are issued.
Preference shares (or preferred stock) have features of both common stock and debt.
As with common stock, preferred stock dividends are not a contractual obligation, the
shares usually do not mature, and the shares can have put or call features. Like debt,
preferred shares typically make fixed periodic payments to investors and do not usually
have voting rights.
Cumulative preference shares are usually promised fixed dividends, and any dividends
that are not paid must be made up before common shareholders can receive dividends.
The dividends of non-cumulative preference shares do not accumulate over time
when they are not paid, but dividends for any period must be paid before common
shareholders can receive dividends.
Preferred shares have a stated par value and pay a percentage dividend based on the par
value of the shares. An $80 par value preferred with a 100/0 dividend pays a dividend of
$8 per year. Investors in participating preference shares receive extra dividends if firm
profits exceed a predetermined level and may receive a value greater than the par value
of the preferred stock if the firm is liquidated. Non-participating preference shares have
a claim equal to par value in the event of liquidation and do not share in firm profits.
Smaller and riskier firms whose investors may be concerned about the firm's future often
issue participating preferred stock so investors can share in the upside potential of the
firm.
nA
Convertible preference shares can be exchanged for common stock at a conversion ratio
determined when the shares are originally issued. It has the following advantages:
•
•
•
•
The preferred dividend is higher than a common dividend.
If the firm is profitable, the investor can share in the profits by converting his shares
into common stock.
The conversion option becomes more valuable when the common stock price
•
Increases.
Preferred shares have less risk than common shares because the dividend is stable
and they have priority over common stock in receiving dividends and in the event of
liquidation of the firm.
Because of their upside potential, convertible preferred shares are often used to finance
risky venture capital and private equity firms. The conversion feature compensates
investors for the additional risk they take when investing in such firms.
LOS 49.b: Describe differences in voting rights and other ownership
characteristics
among different
equity classes.
urpomligecaVPFCA
CFA® Program Curriculum, Volume 5, page 156
A firm may have different classes of common stock (e.g., "Class A" and "Class B"
shares). One class may have greater voting power and seniority if the firm's assets are
liquidated. The classes may also be treated differently with respect to dividends, stock
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splits, and other transactions with shareholders. Information on the ownership and
voting rights of different classes of equity shares can be found in the company's filings
with securities regulators, such as the Securities and Exchange Commission in the
United States.
LOS 49.c: Distinguish between public and private equity securities.
zyutsrponmligedcaVPCA
CPA ® Program Curriculum, Volume 5, page 162
The discussion so far has centered on equity that is publicly traded. Private equity is
usually issued to institutional investors via private placements. Private equity markets are
smaller than public markets but are growing rapidly.
Compared to public equity, private equity has the following characteristics:
•
•
•
•
•
•
•
Less liquidity because no public market for the shares exists.
Share price is negotiated between the firm and its investors, not determined in a
market.
More limited firm financial disclosure because there is nogovernment or exchange
requirement to do so.
Lower reporting costs because of less onerous reporting requirements.
Potentially weaker corporate governance because of reduced reporting requirements
and less public scrutiny.
Greater ability to focus on long-term prospects because there is no public pressure
for short-term results.
Potentially greater return for investors once the firm goes public.
The three main types of private equity investments are venture capital, leveraged
buyouts, and private investments in public equity.
Venture capital refers to the capital provided to firms early in their life cycles to fund
their development and growth. Venture capital financing at various stages of a firm's
development is referred to as seed or start-up, early stage, or mezzanine financing.
Investors can be family, friends, wealthy individuals, or private equity funds. Venture
capital investments are illiquid and investors often have to commit funds for three to ten
years before they can cash out (exit) their investment. Investors hope to profit when they
can sell their shares after (or as part of) an initial public offering or to an established
firm.
In a leveraged buyout (LBO), investors buy all of a firm's equity using debt financing
(leverage). If the buyers are the firm's current management, the LBO is referred to as a
management buyout (MBO). Firms in LBOs usually have cash flow that is adequate to
service the issued debt or have undervalued assets that can be sold to pay down the debt
•
over time.
In a private investment in public equity (PIPE), a public firm that needs capital quickly
sells private equity to investors. The firm may have growth opportunities, be in distress,
or have large amounts of debt. The investors can often buy the stock at a sizeable
discount to its market price.
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LOS 49.d: Describe methods for investing in non-domestic equity securities.
utrponmligedcaVPCA
CPA ® Program Curriculum, Volume 5, page 164
When capital flows freely across borders, markets are said to be integrated. The world's
financial markets have become more integrated over time, especially as a result of
improved communications and trading technologies. However, barriers to global capital
flows still exist. Some countries restrict foreign ownership of their domestic stocks,
primarily to prevent foreign control of domestic companies and to reduce the variability
of capital flows in and out of their countries.
An increasing number of countries have dropped foreign capital restrictions. Studies
have shown that reducing capital barriers improves equity market performance.
Furthermore, companies are increasingly turning to foreign investors for capital by
listing their stocks on foreign stock exchanges or by encouraging foreign ownership of
shares.
From the firm's perspective, listing on foreign stock exchanges increases publicity for the
firm's products and the liquidity of the firm's shares. Foreign listing also increases firm
transparency due to the stricter disclosure requirements of many foreign markets.
Direct investing in the securities of foreign companies simply refers to buying a foreign
firm's securities in foreign markets. Some obstacles to direct foreign investment are that:
•
•
•
•
The investment and return are denominated in a foreign currency.
The foreign stock exchange may be illiquid.
The reporting requirements of foreign stock exchanges maybe less strict, impeding
analysis.
Investors must be familiar with the regulations and procedures of each market in
which they invest.
Other methods for investing in foreign companies are provided by global depository
receipts (GDRs), American depository receipts (ADRs), global registered shares (GRSs),
and baskets of listed depository receipts (BLDRs).
Depository receipts (DRs) represent ownership in a foreign firm and are traded in the
markets of other countries in local market currencies. A bank deposits shares of the
foreign firm and then issues receipts representing ownership of a specific number of the
foreign shares. The depository bank acts as a custodian and manages dividends, stock
splits, and other events. Although the investor does not have to convert to the foreign
currency, the value of the DR is affected by exchange rate changes, as well as firm
fundamentals, economic events, and any other factors that affect the value of any stock.
If the firm is involved with the issue, the depository receipt is a sponsored DR;
otherwise, it is an unsponsored DR. A sponsored DR provides the investor voting rights
and is usually subject to greater disclosure requirements. In an unsponsored DR, the
depository bank retains the voting rights.
Global depository receipts (GDRs) are issued outside the United States and the issuer's
home country. Most GDRs are traded on the London and Luxembourg exchanges.
Although not listed on U.S. exchanges, they are usually denominated in U.S. dollars
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and can be sold to u.s. institutional investors. GDRs are not subject to the capital flow
restrictions imposed by governments and thus offer the firm and the investor greater
opportunities for foreign investment. The firm usually chooses to list the GDR in a
market where many investors are familiar with the firm.
American depository receipts (ADRs) are denominated in U.S. dollars and trade in the
United States. The security on which the ADR is based is the American depository share
(ADS), which trades in the firm's domestic market. Some ADRs allow firms to raise
capital in the United States or use the shares to acquire other firms. Most require U.S.
Securities and Exchange Commission (SEC) registration, but some are privately placed
(Rule 144A or Regulation S receipts).
A
The four types of ADRs, with different levels of trading availability and firm
requirements, are summarized in Figure 1.
Figure 1: Types of ADRs
vurpomligecaVRPLICA
Level I
Level II
Level III
Rule 144A
Trading location
Over-thecounter (OTC)
NYSE, Nasdaq,
and AM EX
NYSE, Nasdaq,
andAMEX
Private
SEC registration
required
Yes
Yes
Yes
No
Ability to raise
capital in United
States
No
No
Yes
Yes
Firm listing
expenses
Low
High
High
Low
Global registered shares (GRS) are traded in different currencies on stock exchanges
around the world.
A basket of listed depository receipts (BLD R) is an exchange-traded fund (ETF) that is
a collection of DRs. ETF shares trade in markets just like common stocks.
LOS 49.e: Compare the risk and return characteristics of different types of
•
•
•
equity securrties.
CPA ® Program Curriculum, Volume 5, page 169
The returns on equity investments consist of price changes, dividend payments, and, in
the case of equities denominated in a foreign currency, gains or losses from changes in
exchange rates. A Japanese investor who invests in euro-denominated shares will have
greater yen-based returns if the euro appreciates relative to the yen.
Gains from dividends and the reinvestment of dividends have been an important part
of equity investors' long-term returns. For example, $1 invested in U.S. stocks in 1900
would have been worth $834 in real terms in 2011 with dividends reinvested but only
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Cross- Reference to CFA Institute Assigned Reading #49 - Overview of Equity Securities
$8.10 with price appreciation alone. Over the same time period, the terminal wealth for
bonds and bills would have been $9.30 and $2.80, respectively.!
The risk of equity securities is most commonly measured as the standard deviation of
returns. Preferred stock is less risky than common stock because preferred stock pays a
known, fixed dividend to investors that is a large part of the return, whereas common
dividends are variable and can vary with earnings. Also, preferred stockholders receive
their distributions before common shareholders and have a claim in liquidation equal to
the par value of their shares that has priority over the claims of common stock owners.
Because it is less risky, preferred stock has a lower average return than common stock.
Cumulative preferred shares have less risk than non-cumulative preferred shares because
they retain the right to receive any missed dividends before any common stock dividends
can be paid.
For both common and preferred shares, putable shares are less risky and callable shares
are more risky compared to shares with neither option. Putable shares are less risky
because if the market price drops, the investor can put the shares back to the firm at a
fixed price (assuming the firm has the capital to honor the put). Because of this feature,
putable shares usually pay a lower dividend yield than non-putable shares.
Callable shares are the most risky because if the market price rises, the firm can call the
shares, limiting the upside potential of the shares. Callable shares, therefore, usually have
higher dividend yields than non-callable shares.
LOS 49.f: Explain the role of equity securities in the financing of a company's
assets.
ywvutsrqpomligfecaVSPOECA
CPA ® Program Curriculum, Volume 5, page 172
Equity capital is used for the purchase of long-term assets, equipment, research and
development, and expansion into new businesses or geographic areas. Equity securities
provide the firm with "currency" that can be used to buy other companies or that can be
offered to employees as incentive compensation. Having publicly traded equity securities
provides liquidity, which may be especially important to firms that need to meet
regulatory requirements, capital adequacy ratios, and liquidity ratios.
LOS 49.g: Distinguish between the market value and book value of equity
•
•
secuntres.
CPA ® Program Curriculum, Volume 5, page 172
The primary goal of firm management is to increase the book value of the firm's equity
and thereby increase the market value of its equity. The book value of equity is the value
of the firm's assets on the balance sheet minus its liabilities. It increases when the firm
has positive net income and retained earnings that flow into the equity account. When
1. Ryan C. Fuhrmann, CFA, and Asjeet S. Lamba, CFA, Overview of Equity Securities, CFA
Program Level I 2015 Curriculum, Volume 5, (CFA Institute, 2014) p. 169.
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management makes decisions that increase income and retained earnings, they increase
the book value of equity.
The market value of equity is the total value of a firm's outstanding equity shares
based on market prices and reflects the expectations of investors about the firm's future
performance. Investors use their perceptions of the firm's risk and the amounts and
timing of future cash flows to determine the market value of equity. The market value
and book value of equity are seldom equal. Although management may be maximizing
the book value of equity, this may not be reflected in the market value of equity because
book value does not reflect investor expectations about future firm performance.
LOS 49.h: Compare a company's cost of equity, its (accounting) return on
equity, and investors' required rates of return.
ywvutsrqponmlihgfedcaVTPNFDCA
CFA ® Program Curriculum, Volume 5, page 172
A key ratio used to determine management efficiency is the accounting return on
equity, usually referred to simply as the return on equity (ROE). ROE is calculated as
net income available to common (net income minus preferred dividends) divided by the
average book value of common equity over the period:
ROE
=
t
t
.
NIt
average BVt
(BVt
+ BV
t-1)
/
2
Alternatively, ROE is often calculated using only beginning-of-year
(i.e., book value of equity for end of year t - 1):
book value of equity
The first method is more appropriate when it is the industry convention or when book
value is volatile. The latter method is more appropriate when examining ROE for a
number of years or when book value is stable.
Higher ROE is generally viewed as a positive for a firm, but the reason for an increase
should be examined. For example, if book value is decreasing more rapidly than net
income, ROE will increase. This is not, however, a positive for the firm. A firm can also
issue debt to repurchase equity, thereby decreasing the book value of equity. This would
increase the ROE but also make the firm's shares riskier due to the increased financial
leverage (debt).
Professor's Note: The DuPont formula discussed in the topic review of Financial
Analysis Techniques can help the analyst determine the reasonsfor changes in
ROE.
ROE
The book value of equity reflects a firm's financial decisions and operating results since
its inception, whereas the market value of equity reflects the market's consensus view of
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a firm's future performance. The price-to-book ratio (also called the market-to-book
ratio) is the market value of a firm's equity divided by the book value of its equity. The
more optimistic investors are about the firm's future growth, the greater its price-to-book
ratio. The price-to-book ratio is used as a measure of relative value. Often, firms with
low price-to-book ratios are considered value stocks, while firms with high price-to-book
ratios are considered growth stocks.
wvutsronlkihgedcaYFED
Example: ROE, market, and book value of equity calculations
Given the figures below for O'Grady Industries, calculate the return on average equity
for 20X9 and the total market value of equity, the book value per share, and the priceto-book ratio at the end of 20X9.
Index Firm Data
Fiscal Year-End Dec. 31
20X9
20XB
Total stockholder's equity
18,503
17,143
Net income available to common
3,526
3,056
Stock price
$16.80
$15.30
Shares outstanding
3,710
2,790
XB
Answer:
The return on average equity for 20X9 is:
ROE =
t
VB
NIt
average BVt
NIt
(BVt + BVt-1)
/
2
$3,526
= 19.780/0
($18,503 + $17,143) /2
The total market value of the firm's equity at the end of 20X9 is:
$16.80 x 3,710 = $62,328
The book value per share at the end of 20X9 is:
= $18,503 = $4.99
3,710
The price-to-book
ratio at the end of 20X9 is:
= $16.80 = 3.37
$4.99
Investors' Required Return and the Cost of Equity
A firm's cost of equity is the expected equilibrium total return (including dividends)
on its shares in the market. It is usually estimated in practice using a dividend-discount
model or the capital asset pricing model. At any point in time, a decrease in share
price will increase the expected return on the shares and an increase in share price will
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decrease expected returns, other things equal. Because the intrinsic value of a firm's
shares is the discounted present value of its future cash flows, an increase (decrease) in
the required return used to discount future cash flows will decrease (increase) intrinsic
value.
Investors also estimate the expected market returns on equity shares and compare this to
the minimum return they will accept for bearing the risk inherent in a particular stock.
If an investor estimates the expected return on a stock to be greater than her minimum
required rate of return on the shares, given their risk, then the shares are an attractive
investment. Investors can have different required rates of return for a given risk,
different estimates of a firm's future cash flows, and different estimates of the risk of a
firm's equity shares. A firm's cost of equity can be interpreted as the minimum rate of
return required by investors (in the aggregate) to compensate them for the risk of the
firm's equity shares.
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Cross- Reference to CFA Institute Assigned Reading #49 - Overview of Equity Securities
LOS 49.a
Common shareholders have a residual claim on firm assets and govern the corporation
through voting rights. Common shares have variable dividends which the firm is under
no legal obligation to pay.
Callable common shares allow the firm the right to repurchase the shares at a prespecified price. Putable common shares give the shareholder the right to sell the shares
back to the firm at a pre-specified price.
Preferred stock typically does not mature, does not have voting rights, and has dividends
that are fixed in amount but are not a contractual obligation of the firm.
Cumulative preferred shares require any dividends that were missed in the past
(dividends in arrears) to be paid before common shareholders receive any dividends.
Participating preferred shares receive extra dividends if firm profits exceed a prespecified level and a value greater than the par value if the firm is liquidated. Convertible
preferred stock can be converted to common stock at a pre-specified conversion ratio.
LOS 49.h
Some companies' equity shares are divided into different classes, such as Class A and
Class B shares. Different classes of common equity may have different voting rights and
priority in liquidation.
LOS 49.c
Compared to publicly traded firms, private equity firms have lower reporting costs,
greater ability to focus on long-term prospects, and potentially greater return for
investors once the firm goes public. However, private equity investments are illiquid,
firm financial disclosure may be limited, and corporate governance may be weaker.
LOS 49.d
Investors who buy foreign stock directly on a foreign stock exchange receive a return
denominated in a foreign currency, must abide by the foreign stock exchange's
regulations and procedures, and may be faced with less liquidity and less transparency
than is available in the investor's domestic markets. Investors can often avoid these
disadvantages by purchasing depository receipts for the foreign stock that trade on their
domestic exchange.
Global depository receipts are issued outside the United States and outside the issuer's
home country. American depository receipts are denominated in U.S. dollars and are
traded on U.S. exchanges.
Global registered shares are common shares of a firm that trade in different currencies on
stock exchanges throughout the world.
Baskets of listed depository receipts are exchange-traded funds that invest in depository
•
receipts.
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LOS 49.e
Equity investor returns consist of dividends, capital gains or losses from changes in share
prices, and any foreign exchange gains or losses on shares traded in a foreign currency.
Compounding of reinvested dividends has been an important part of an equity investor's
long-term return.
Preferred stock is less risky than common stock because preferred stock pays a known,
fixed dividend to investors; preferred stockholders must receive dividends before
common stock dividends can be paid; and preferred stockholders have a claim equal to
par value if the firm is liquidated. Putable shares are the least risky and callable shares are
the most risky. Cumulative preferred shares are less risky than non-cumulative preferred
shares, as any dividends missed must be paid before a common stock dividend can be
paid.
LOS 49.f
Equity securities provide funds to the firm to buy productive assets, to buy other
companies, or to offer to employees as compensation. Equity securities provide liquidity
that may be important when the firm must raise additional funds.
LOS 49.g
The book value of equity is the difference between the financial statement value of the
firm's assets and liabilities. Positive retained earnings increase the book value of equity.
Book values reflect the firm's past operating and financing choices.
The market value of equity is the share price multiplied by the number of shares
outstanding. Market value reflects investors' expectations about the timing, amount, and
risk of the firm's future cash flows.
LOS 49.h
The accounting return on equity (ROE) is calculated as the firm's net income divided by
the book value of common equity. ROE measures whether management is generating a
return on common equity but is affected by the firm's accounting methods.
The firm's cost of equity is the minimum rate of return that investors in the firm's equity
require. Investors' required rates of return are reflected in the market prices of the firm's
shares.
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Page 272
1.
Which of the following best describes the benefit of cumulative share voting?
A. It provides significant minority shareholders with proportional
representation on the board.
B. It prevents minority shareholders from exercising excessive control.
C. If cumulative dividends are not paid, preferred shareholders are given voting
rights.
2.
The advantage of participating preferred shares versus non-participating
preferred shares is that participating preferred shares can:
A. obtain voting rights.
B. receive extra dividends.
C. be converted into common stock.
3.
Compared to public equity, which of the following is least likely to characterize
private equity?
A. Lower reporting costs.
B. Potentially weaker corporate governance.
C. Lower returns because of its less liquid market.
4.
Global depository receipts are most often denominated in:
A. the currency of the country where they trade and issued outside the United
States.
B. U.S. dollars and issued in the United States.
C. U.S. dollars and issued outside the United States.
5.
Which of the following types of preferred shares has the most risk for investors?
A. Putable shares.
B. Callable shares.
C. Non-putable, non-callable shares.
6.
Which of the following best describes the book value of equity?
A. Management should attempt to maximize book value of equity.
B. Book value of equity decreases when retained earnings increase.
C. Book value of equity reflects investors' perceptions of the firm's future.
7.
Which of the following causes of an increase in return on equity is most likely a
positive sign for a firm's equity investors?
A. A firm issues debt to repurchase equity.
B. Net income is increasing at a faster rate than book value of equity.
C. Net income is decreasing at a slower rate than book value of equity.
ytsomlkieba
©2015 Kaplan, Inc.
Study Session 14
Cross-Reference to CFA Institute Assigned Reading #49 - Overview of Equity Securities
1.
A
Cumulative voting allows minority shareholders to gain representation on the board
because they can use all of their votes for specific board members.
2.
B
Participating preferred shares can receive extra dividends if firm profits exceed a prespecified level and a value greater than the par value if the firm is liquidated.
3.
C
Private equity has less liquidity because no public market for it exists. The lower
liquidity of private equity would increase required returns.
4.
C
Global Depository Receipts are not listed on u.s. exchanges and are most often
denominated in U.S. dollars. They are not issued in the United States.
5.
B
Callable shares are the most risky because if the market price rises, the firm can call
in the shares, limiting the investor's potential gains. Putable shares are the least risky
because if the market price drops, the investor can put the shares back to the firm at a
predetermined price. The risk of non-putable, non-callable shares falls in between.
6.
A
The primary goal of firm management is to increase the book value of equity. Ittsrnmkieca
increases
when retained earnings are positive. The market value of equity reflects the collective
expectations of investors about the firm's future performance.
7.
B
Net income increasing at a faster rate than book value of equity generally would be a
positive sign. If a firm issues debt to repurchase equity, this decreases the book value
of equity and increases the ROE. However, now the firm becomes riskier due to the
increased debt. Net income decreasing at a slower rate than book value of equity would
increase ROE, but decreasing net income is not a positive sign.
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The following is a review of the Equity Analysis and Valuation principles designed to address the learning
outcome statements set forth by CFA Institute. Cross-Reference to CFA Institute Assigned Reading #50.YUTSRPONMLIDCA
INTRODUCTION TO INDUSTRY AND
COMPANY ANALYSIS
Study Session 14XMEA
EXAM Focus
This topic provides a great deal of material on industry analysis. Understand the effects
of business cycles and the stage of an industry's life cycle. Porter's five forces and two
competitive strategies are very important to know. Beyond these, make sure that you
know the effects on price competition and profitability of the items considered in
industry analysis and of the various firm characteristics discussed.
LOS SO.a: Explain uses of industry analysis and the relation of industry
analysis to company analysis.
vutsrponmligedcaVPCA
CPA® Program Curriculum, Volume 5, page 188
Industry analysis is important for company analysis because it provides a framework for
understanding the firm. Analysts will often focus on a group of specific industries so that
they can better understand the business conditions the firms in those industries face.
Understanding a firm's business environment can provide insight about the firm's
potential growth, competition, and risks. For a credit analyst, industry conditions can
provide important information about whether a firm will be able to meet its obligations
during the next recession.
In an active management strategy, industry analysis can identify industries that are
undervalued or overvalued in order to weight them appropriately. Some investors engage
in industry rotation, which is overweighting or underweighting industries based on the
current phase of the business cycle. A firm's industry has been found to be as important
as its home country in determining its performance.
In performance attribution analysis, the sources of portfolio return are determined
relative to a benchmark. The industry representation within a portfolio is often a
significant component of attribution analysis.
LOS SO.b: Compare methods by which companies can be grouped, current
industry classification systems, and classify a company, given a description of
its activities and the classification system.
CPA ® Program Curriculum, Volume 5, page 189
One way to group companies into an industry is by the products and services they offer.
For example, the firms that produce automobiles constitute the auto industry. A sector
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Study Session 14
to Industry and Company Analysis
is a group of similar industries. Hospitals, doctors, pharmaceutical firms, and other
industries are included in the health care sector. Systems that are grouped by products
and services usually use a firm's principal business activity (the largest source of sales
or earnings) to classify firms. Examples of these systems are discussed in the following
and include the Global Industry Classification Standard (GICS), Russell Global Sectors
(RGS), and Industry Classification Benchmark.
Firms can also be classified by their sensitivity to business cycles. This system has two main
classifications: cyclical and non-cyclical firms.
yvutsrponmlihgfedcbaSCB
Statistical methods, such as cluster analysis, can also be used. This method groups firms
that historically have had highly correlated returns. The groups (i.e., industries) formed
will then have lower returns correlations between groups.
This method has several limitations:
•
•
•
•
Historical correlations may not be the same as future correlations.
The groupings of firms may differ over time and across countries.
The grouping of firms is sometimes non-intuitive.
The method is susceptible to statistical error (i.e., firms can be grouped by a
relationship that occurs by chance, or not grouped together when they should be).
Industry Classification Systems
Classifying firms by industry provides a method of examining trends and firm valuations.
It also allows analysts to compare firms in different countries on a similar basis. The
following are the industry classification systems currently available to investors.
Commercial Classifications
Several index providers classify firms. Some use three levels of classification, while others
use four levels. The providers generally use firm fundamentals such as revenue to classify
firms. Although the nomenclature differs among providers, the broadest category is
generally the sector level, followed by industry and sub-industry.
Commercial industry classifications include the Global Industry Classification Standard
developed by Standard & Poor's and MSCI Barra, Russell Global Sectors, and the
Industry Classification Benchmark developed by Dow Jones and FTSE.
Sectors and firm compositions representative of those used by commercial providers are
as follows.
Basic materials and processing firms produce:
•
•
•
•
•
Building materials.
Chemicals.
Paper and forest products.
Containers and packaging.
Metals, minerals, and mining.
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Consumer discretionary firms are cyclical and sell goods and services in industries such as:
•
•
•
Automotive.
Apparel.
Hotels and restaurants.
Consumer staples firms are less cyclical and sell goods and services in industries such as:
•
•
•
•
Food.
Beverage.
Tobacco.
Personal care products.
Energy firms are involved in:
•
•
•
•
•
Energy exploration.
Refining.
Production.
Energy equipment.
Energy services.
Financial services firms include firms involved in:
•
•
•
•
•
Banking.
Insurance.
Real estate.
Asset management.
Brokerage.
Health care includes:
•
•
•
•
•
•
Pharmaceuticals.
Biotech.
Medical devices.
Health care equipment.
Medical supplies.
Health care services.
Industrial and producer durables firms produce capital goods for commercial services
industries including:
•
•
•
•
•
Heavy machinery and equipment.
Aerospace.
Defense.
Transportation.
Commercial services and supplies.
Technology firms sell or produce:
•
•
•
•
•
•
•
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Computers.
Software.
Semiconductors.
Communications equipment.
Internet services.
Electronic entertainment.
Consulting and services.
©2015 Kaplan, Inc.
Cross-Reference to CFA Institute Assigned Reading #50 - Introduction
Study Session 14
to Industry and Company Analysisywvutsrponmlihgfe
Telecommunications firms include wired and wireless service providers. Utilities
includes electric, gas, and water utilities. Some industry classification providers include
telecommunication and utilities in the same group, while others separate them.
To classify a firm accurately, an analyst should have detailed knowledge about the firm
and the delineation of industry classifications.
Government
Classifications
Several government bodies also provide industry classification of firms. They frequently
do so to organize the economic data they publish. A main thrust of their systems is to
make comparisons of industries consistent across time and country. The main systems
are similar to each other.
•
•
•
•
International Standard Industrial Classification of All Economic Activities (ISIC) was
produced by the United Nations in 1948 to increase global comparability of data.
Statistical Classification of Economic Activities in theEuropean Community is similar to
the ISIC but is designed for Europe.
Australian and New Zealand Standard Industrial Classification was jointly developed
by those countries.
North American Industry Classification System (NAICS) was jointly developed by the
United States, Canada, and Mexico.
The methodologies that government providers use in their compilation of industry
groups differ from those used by commercial providers. Most governments do not
identify individual firms in a group, so an analyst cannot know the groups' exact
composition. Commercial providers identify the constituent firms. Government
systems are updated less frequently; for example, the NAICS is updated every five years.
Governments do not distinguish between small and large firms, for-profit and not-forprofit organizations, or private and public firms. Commercial providers only include forprofit and public firms and can delineate by the size of the firm.
An analyst should not assume that two firms in the same narrowest industry
classification can be compared with each other for fundamental analysis and valuation.
Instead, the analyst should construct peer groups, as described later in this topic review.
LOS 50.c: Explain the factors that affect the sensitivity of a company to
the business cycle and the uses and limitations of industry and company
descri
. " an d "cyc1·IC al" •
escriptors sueh"as growt,h " "d e£ensrve,
la
CPA ® Program Curriculum, Volume 5, page 190
A cyclical firm is one whose earnings are highly dependent on the stage of the business
cycle. These firms have high earnings volatility and high operating leverage. Their
products are often expensive, non-necessities whose purchase can be delayed until
the economy improves. Examples of cyclical industries include basic materials and
processing, consumer discretionary, energy, financial services, industrial and producer
durables, and technology.
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In contrast, a non-cyclical firm produces goods and services for which demand is
relatively stable over the business cycle. Examples of non-cyclical industries include
health care, utilities, telecommunications, and consumer staples.
Sectors can also be classified by their sensitivity to the phase of the business cycle.
Cyclical sector examples include energy, financials, technology, materials, and consumer
discretionary. Non-cyclical sector examples include health care, utilities, and consumer
staples.
Non-cyclical industries can be further separated into defensive (stable) or growth
industries. Defensive industries are those that are least affected by the stage of the
business cycle and include utilities, consumer staples (such as food producers), and basic
services (such as drug stores). Growth industries have demand so strong they are largely
unaffected by the stage of the business cycle.
Descriptors such as "growth," "defensive," and "cyclical" should be used with caution.
Cyclical industries, which are supposed to be dependent on the business cycle, often
include growth firms that are less dependent on the business cycle. Non-cyclical
industries can be affected by severe recessions, as was the case in the 2008-09 downturn.
Defensive industries may not always be safe investments. For example, grocery stores
are classified as defensive, but they are subject to intense price competition that reduces
earnings. Defensive industries may also contain some truly defensive and some growth
firms. Because business cycle phases differ across countries and regions, two cyclical
firms operating in different countries may be simultaneously experiencing different
cyclical effects on earnings growth.
LOS 50.d: Explain how a company's industry classification can be used to
identify a potential "peer group" for equity valuation.
urpomligecaVPCA
CPA ® Program Curriculum, Volume 5, page 198
A peer group is a set of similar companies an analyst will use for valuation comparisons.
More specifically, a peer group will consist of companies with similar business activities,
demand drivers, cost structure drivers, and availability of capital.
To form a peer group, an analyst will often start by identifying companies in the
same industry classification, using the commercial classification providers previously
described. Usually, the analyst will use other information to verify that the firms in an
industry are indeed peers. An analyst might include a company in more than one peer
group.
nA
The following are steps an analyst would use to form a peer group:
•
•
•
•
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Use commercial classification providers to determine which firms are in the same
industry.
Examine firms' annual reports to see if they identify key competitors.
Examine competitors' annual reports to see if other competitors are named.
Use industry trade publications to identify competitors.
©2015 Kaplan, Inc.
Cross-Reference to CFA Institute Assigned Reading #50 - Introduction
•
•
Study Session 14
to Industry and Company Analysis
Confirm that comparable firms have similar sources of sales and earnings, have
similar sources of demand, and are in similar geographic markets.
Adjust financial statements of non-financial companies of r any financing subsidiary
data they include.
LOS 50.e: Describe the elements that need to be covered in a thorough
industry analysis.
urpomligecaVPFCA
CFA ® Program Curriculum, Volume 5, page 202
A thorough industry analysis should include the following elements:
•
•
•
•
•
•
•
•
•
•
Evaluate the relationships between macroeconomic variables and industry trends
using information from industry groups, firms in the industry, competitors,
suppliers, and customers.
Estimate industry variables using different approaches and scenarios.
Compare with other analysts' forecasts of industry variables to confirm the validity
of the analysis and potentially find industries that are misvalued as a result of
consensus forecasts.
Determine the relative valuation of different industries.
Compare the valuations of industries across time to determine the volatility of their
performance over the long run and during different phases of the business cycle.
This is useful for long-term investing as well as short-term industry rotation based
on the current economic environment.
Analyze industry prospects based on strategic groups, which are groups of firms that
are distinct from the rest of the industry due to the delivery or complexity of their
products or barriers to entry. For example, full-service hotels are a distinct market
segment within the hotel industry.
Classify industries by life-cycle stage, whether it is embryonic, growth, shakeout,
mature, or declining.
Position the industry on the experience curve, which showsthe cost per unit relative
to output. The curve declines because of increases in productivity and economies of
scale, especially in industries with high fixed costs.
Consider the forces that affect industries, which include demographic,
macroeconomic, governmental, social, and technological influences.
Examine the forces that determine competition within an industry.
LOS 50.£: Describe the principles of strategic analysis of an industry.
CFA® Program Curriculum, Volume 5, page 204
Industries differ markedly in profitability because of differences in economic
fundamentals, industry structure, and degree of competition. In some industries,
competition is intense and few firms earn economic profits. Economic profits, the return
on invested capital minus its cost, are greater than 200/0 in some industries and negative
in others. The degree of economic profits depends in part on pricing power (elasticity of
demand for the firm's products). An analyst should understand that industry conditions
and profits can change dramatically over time, so industry analysis should be forwardlooking.
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One component of an analyst's industry analysis should be strategic analysis, which
examines how an industry's competitive environment influences a firm's strategy. The
analysis framework developed by Michael Porter1 delineates five forces that determine
industry competition.
yxwvutsrponmlihgfedcbaTRPHB
1.
Rivalry among existing competitors. Rivalry increases when many firms of relatively
equal size compete within an industry. Slow growth leads to competition as firms
fight for market share, and high fixed costs lead to price decreases as firms try to
operate at full capacity. For example, the high fixed costs in the auto industry from
capital investments and labor contracts force firms to produce a large number of
vehicles that they can only sell at low margins. Industries with products that are
undifferentiated or have barriers (are costly) to exit tend to have high levels of
• •
cornpetrnon.
2.
Threat of entry. Industries that have significant barriers to entry (e.g., large capital
outlays for facilities) will find it easier to maintain premium pricing. It is costly to
enter the steel or oil production industries. Those industries have large barriers to
entry and thus less competition from newcomers. An analyst should identify factors
that discourage new entrants, such as economies of scale.
3.
Threat ofsubstitutes. Substitute products limit the profit potential of an industry
because they limit the prices firms can charge by increasing the elasticity of
demand. Commodity-like products have high levels of competition and low profit
margins. The more differentiated the products are within an industry, the less price
competition there will be. For example, in the pharmaceutical industry, patents
protect a producer from competition in the markets for patented drugs.
4.
Power of buyers. Buyers' ability to bargain for lower prices or higher quality
influences industry profitability. Bargaining by governments and ever-larger health
care providers have put downward pressure even on patented drugs.
5.
Power of suppliers. Suppliers' ability to raise prices or limit supply influences industry
profitability. Suppliers are more powerful if there are just a few of them and their
products are scarce. For example, Microsoft is one of the few suppliers of operating
system software and thus has pricing power.
The first two forces deserve further attention because almost all firms must be concerned
about the threat of new entrants and competition that would erode profits. Studying
these forces also helps the analyst better understand the subject firm's competitors
and prospects. The following summary describes how these two factors influence the
competitive environment in an industry:
•
•
•
1.
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Higher barriers to entry reduce competition.
Greater concentration (a small number of firms control a large part of the market)
reduces competition, whereas market fragmentation (a large number of firms, each
with a small market share) increases competition.
Unused capacity in an industry, especially if prolonged, er sults in intense price
competition. For example, under utilized capacity in the auto industry has resulted in
• •
•
•
very competitrve prIcIng.
Michael Porter, "The Five Competitive Forces That Shape Strategy, " Harvard Business
Review, Volume 86, No.1: pp. 78-93.
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•
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Study Session 14
to Industry and Company Analysis
Stability in market share reduces competition. For example, loyalty of a firm's
customers tends to stabilize market share and profits.
More price sensitivity in customer buying decisions results in greater competition.
Greater maturity of an industry results in slowing growth.
LOS 50.g: Explain the effects of barriers to entry, industry concentration,
industry capacity, and market share stability on pricing power and price
• •
competrtron.
urpomligecaVPCA
CPA ® Program Curriculum, Volume 5, page 205
Barriers to Entry
High barriers to entry benefit existing industry firms because they prevent new
competitors from competing for market share and reducing the existing firms' return
on capital. In industries with low barriers to entry, firms have little pricing power and
competition reduces existing firms' return on capital. To assess the ease of entry, the
analyst should determine how easily a new entrant to the industry could obtain the
capital, intellectual property, and customer base needed to be successful. One method of
determining the ease of entry is to examine the composition of the industry over time. If
the same firms dominate the industry today as ten years ago, entry is probably difficult.
High barriers to entry do not necessarily mean firm pricing power is high. Industries
with high barriers to entry may have strong price competition among existing firms. This
is more likely when the products sold are undifferentiated and commodity-like or when
high barriers to exit result in overcapacity. For example, an automobile factory may have
a low value in an alternative use, making firm owners less likely to exit the industry.
They continue to operate even when losing money, hoping to turn things around, which
can result in industry overcapacity and intense price competition.
Low barriers to entry do not ensure success for new entrants. Barriers to entry may
change over time, and so might the competitive environment.
Industry Concentration
High industry concentration does not guarantee pricing power.
•
•
•
Absolute market share may not matter as much as a firm's market share relative to
its competitors. A firm may have a 500/0 market share, but if a single competitor has
the other 500/0, their 500/0 share would not result in a great degree of pricing power.
Return on capital is limited by intense competition between the two firms.
Conversely, a firm that has a100/0 market share when no competitor has more than
20/0 may have a good degree of pricing power and high return on capital.
If industry products are undifferentiated and commodity-like, then consumers will
switch to the lowest-priced producer. The more importance consumers place on
price, the greater the competition in an industry. Greater competition leads to lower
return on capital.
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•
•
Industries with greater product differentiation in regard to features, reliability, and
service after the sale will have greater pricing power. Return on capital can be higher
for firms that can better differentiate their products.
If the industry is capital intensive, and therefore costlyto enter or exit, overcapacity
can result in intense price competition.
Tobacco, alcohol, and confections are examples of highly concentrated industries in
which firms' pricing power is relatively strong. Automobiles, aircraft, and oil refining are
examples of highly concentrated industries with relatively weak pricing power.
Although industry concentration does not guarantee pricing power, a fragmented market
does usually result in strong competition. When there are many industry members, firms
cannot coordinate pricing, firms will act independently, and because each member has
such a small market share, any incremental increase in market share may make a price
decrease profitable.
Industry Capacity
Industry capacity has a clear impact on pricing power. Undercapacity, a situation in
which demand exceeds supply at current prices, results in pricing power and higher
return on capital. Overcapacity, with supply greater than demand at current prices, will
result in downward pressure on price and lower return on capital.
An analyst should be familiar with the industry's current capacity and its planned
investment in additional capacity. Capacity is fixed in the short run and variable in the
long run. In other words, given enough time, producers will build enough factories
and raise enough capital to meet demand at a price close to minimum average cost.
However, producers may overshoot the optimal industry capacity, especially in cyclical
markets. For example, producers may start to order new equipment during an economic
expansion to increase capacity. By the time they bring the additional production on
to the market, the economy may be in a recession with decreased demand. A diligent
analyst can look for signs that the planned capacity increases of all producers (who may
not take into account the capacity increases of other firms) sum to more output than
industry demand will support.
Capacity is not necessarily physical. For example, an increase in demand for insurance
can be more easily and quickly met than an increase in demand for a product requiring
physical capacity, such as electricity or refined petroleum products.
If capacity is physical and specialized, overcapacity can exist for an extended period if
producers expand too much over the course of a business cycle. Specialized physical
capacity may have a low liquidation value and be costly to reallocate to a different
product. Non-physical capacity (e.g., financial capital) can be reallocated more quickly
to new industries than physical capacity.
Market Share Stability
An analyst should examine whether firms' market shares in an industry have been stable
over time. Market shares that are highly variable likely indicate a highly competitive
industry in which firms have little pricing power. More stable market shares likely
indicate less intense competition in the industry.
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to Industry and Company Analysis
Factors that affect market share stability include barriers to entry, introductions of new
products and innovations, and the switching costs that customers face when changing
from one firm's products to another. Switching costs, such as the time and expense of
learning to use a competitor's product, tend to be higher for specialized or differentiated
products. High switching costs contribute to market share stability and pricing power.
LOS 50.h: Describe industry life cycle models, classify an industry as to life
cycle stage, and describe limitations of the life-cycle concept in forecasting
industry performance.
ywvutsrqponmlkihgfedcbaVSRPLIHFCA
CFA® Program Curriculum, Volume 5, page 213
Industry life cycle analysis should be a component of an analyst's strategic analysis. An
industry's stage in the cycle has an impact on industry competition, growth, and profits.
An industry's stage will change over time, so the analyst must monitor the industry on
an ongoing basis. The five phases of the industry life-cycle model are illustrated in Figure 1.
Figure 1: Stages of the Industry Life Cycle
Matul_::re~
Demand
....
Shakeout
Embryonic
~~~-----------------------------------------------Time
In the embryonic stage, the industry has just started. The characteristics of this stage are
as follows:
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•
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•
Slow growth: customers are unfamiliar with the product.
High prices: the volume necessary for economies of scale has not been reached.
Large investment required: to develop the product.
High risk of failure: most embryonic firms fail.
In the growth stage, industry growth is rapid. The characteristics of this stage are as
follows:
•
•
Rapid growth: new consumers discover the product.
Limited competitive pressures:the threat of new firms coming into the market peaks
•
•
during the growth phase, but rapid growth allows firms to grow without competing
•
on price.
Falling prices: economies of scale are reached and distribution channels increase.
Increasing profitability: due to economies of scale.
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to Industry and Company Analysis
In the shakeout stage, industry growth and profitability are slowing due to strong
competition. The characteristics of this stage are as follows:
ywvutsrponmlkihgfedcbaSNIHGDC
•
•
•
•
•
•
Growth has slowed: demand reaches saturation level with few new customers to be
found.
Intense competition: industry growth has slowed, so firm growth must come at the
expense of competitors.
Increasing industry overcapacity: firm investment exceeds increases in demand.
Declining profitability: due to overcapacity.
Increased cost cutting: firms restructure to survive and attempt to build brand loyalty.
Increased failures: weaker firms liquidate or are acquired.
In the mature stage, there is little industry growth and firms begin to consolidate. The
characteristics of this stage are as follows:
•
•
•
•
•
Slow growth: market is saturated and demand is only for replacement.
Consolidation: market evolves to an oligopoly.
High barriers to entry: surviving firms have brand loyalty and low cost structures.
Stable pricing: firms try to avoid price wars, although periodic price wars may occur
during recessions.
Superior firms gain market share:the firms with better products may grow faster than
the industry average.
In the decline stage, industry growth is negative. The characteristics of this stage are as
follows:
•
•
•
Negative growth: due to development of substitute products, societal changes, or
global competition.
Declining prices: competition is intense and there are price wars due to overcapacity.
Consolidation: failing firms exit or merge.
An analyst should determine whether a firm is "acting its age" or stage of industry
development. Growth firms should be reinvesting in operations in an attempt to increase
product offerings, increase economies of scale, and build brand loyalty. They are not
yet worried about cost efficiency. They should not payout cash flows to investors but
save them for internal growth. On the other hand, mature firms focus on cost efficiency
because demand is largely from replacement. They find few opportunities to introduce
new products. These firms should typically payout cash to investors as dividends or
stock repurchases because cash flows are strong but internal growth is limited. An analyst
should be concerned about firms that do not act their stage, such as a mature firm that is
investing in low-return projects for the sake of increasing firm size.
nA
Although life-cycle analysis is a useful tool, industries do not always conform to its
framework. Life-cycle stages may not be as long or short as anticipated, or they might
be skipped altogether. An industry's product may become obsolete quickly due to
technological change, government regulation, societal change, or demographics. Lifecycle analysis is likely most useful during stable periods, not during periods of upheaval
when conditions are changing rapidly. Furthermore, some firms will experience growth
and profits that are dissimilar to others in their industries due to competitive advantages
or disadvantages.
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LOS 50.i: Compare characteristics of representative industries from the various
•
economic sectors.
nA
yvutsrponmljihgfedcbaVTSPMLIGDCBA
CPA® Program Curriculum, Volume 5, page 219
To illustrate the long list of factors to be considered in industry analysis, we use the
following strategic analysis of the candy/confections industry.
•
•
•
•
•
•
•
•
•
•
•
•
Major firms: Cadbury, Hershey, Mars, and Nestle.
Barriers to entry and success:Very high. Low capital and technological barriers, but
consumers have strong brand loyalty.
Industry concentration: Very concentrated. Largest four firms dominate global market
share.
Influence of industry capacity on pricing: None. Pricing is determined by strength of
brand, not production capacity.
Industry stability: Very stable. Market share changes slowly.
Life cycle:Very mature. Growth is driven by population changes.
Competition: Low. Lack of unbranded candy makers in market reduces competition.
Consumer decision is based on brand awareness, not price.
Demographic influences: Not applicable.
Government influence: Low. Industry is largely unregulated, but regulation arising
from concerns about obesity is possible.
Social influence: Not applicable.
Technological influence: Very low. Limited impact from technology.
Business cycle sensitivity: Non-cyclical and defensive. Demand for candy is very stable.
LOS 50.j: Describe macroeconomic, technological, demographic,
governmental, and social influences on industry growth, profitability, and risk.
CPA ® Program Curriculum, Volume 5, page 222
The external influences on industry growth, profitability, and risk should be
a component of an analyst's strategic analysis. These external factors include
macroeconomic, technological, demographic, governmental, and social influences.
Macroeconomic factors can be cyclical or structural (longer-term) trends, most notably
economic output as measured by GDP or some other measure. Interest rates affect
financing costs for firms and individuals, as well as financial institution profitability.
Credit availability affects consumer and business expenditures and funding. Inflation
affects costs, prices, interest rates, and business and consumer confidence. An example of
a structural economic factor is the education level of the work force. More education can
increase workers' productivity and real wages, which in turn can increase their demand
for consumer goods.
Technology can change an industry dramatically through the introduction of new
or improved products. Computer hardware is an example of an industry that
has undergone dramatic transformation. Radical improvements in circuitry were
assisted by transformations in other industries, including the computer software and
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to Industry and Company Analysis
telecommunications industries. Another example of an industry that has been changed
by technology is photography, which has largely moved from film to digital media.
ywvutsrponmlihgfecaVSPGDCA
Demographic factors include age distribution and population size, as well as other changes
in the composition of the population. As a large segment of the population reaches their
twenties, residential construction, furniture, and related industries see increased demand.
An aging of the overall population can mean significant growth for the health care
industry and developers of retirement communities. For example, the aging of the postWorld War II Baby Boomers is an example of demographics that will increase demand in
these industries.
Governments have an important and widespread effect on businesses through various
channels, including taxes and regulation. The level of tax rates certainly affects
industries, but analysts should also be aware of the differential taxation applied to some
goods. For example, tobacco is heavily taxed in the United States. Specific regulations
apply to many industries. Entry into the health care industry, for example, is controlled
by governments that license doctors and other providers. Governments can also empower
self-regulatory organizations, such as stock exchanges that regulate their members. Some
industries, such as the U.S. defense industry, depend heavily on government purchases
of goods and services.
Social influences relate to how people work, play, spend their money, and conduct
their lives; these factors can have a large impact on industries. For example, when
women entered the U.S. workforce, the restaurant industry benefitted because there
was less cooking at home. Child care, women's clothing, and other industries were also
dramatically affected.
LOS 50.k: Describe the elements that should be covered in a thorough
company analysis.
CPA ® Program Curriculum,
Volume 5, page 228
Having gained understanding of an industry's external environment, an analyst can
then focus on company analysis. This involves analyzing the firm's financial condition,
products and services, and competitive strategy. Competitive strategy is how a firm
responds to the opportunities and threats of the external environment. The strategy may
be defensive or offensive.
Porter has identified two important competitive strategies that can be employed by
firms within an industry: a cost leadership (low-cost) strategy or a product or service
differentiation strategy. According to Porter, a firm must decide to focus on one of these
two areas to compete effectively.
In a low-cost strategy, the firm seeks to have the lowest costs of production in its industry,
offer the lowest prices, and generate enough volume to make a superior return. The
strategy can be used defensively to protect market share or offensively to gain market
share. If industry competition is intense, pricing can be aggressive or even predatory.
In predatory pricing, the firm hopes to drive out competitors and later increase prices.
Although there are often laws prohibiting predatory pricing, it can be hard to prove if
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to Industry and Company Analysis
the firm's costs are not easily traced to a particular product. A low-cost strategy firm
should have managerial incentives that are geared toward improving operating efficiency.
In a differentiation strategy, the firm's products and services should be distinctive in terms
of type, quality, or delivery. For success, the firm's cost of differentiation must be less
than the price premium buyers place on product differentiation. The price premium
should also be sustainable over time. Successful differentiators will have outstanding
marketing research teams and creative personnel.
ywvutsrqponmlihgfedcaTRPONFEDA
A company analysis should include the following elements:
•
•
•
•
•
•
•
Firm overview, including information on operations, governance, and strengths and
weaknesses.
Industry characteristics.
Product demand.
Product costs.
Pricing environment.
Financial ratios, with comparisons to other firms and overtime.
Projected financial statements and firm valuation.
A firm's return on equity (ROE) should be part of the financial analysis. The ROE is a
function of profitability, total asset turnover, and financial leverage (debt).
Professor's Note: The DuPont formula discussed in the topic review of Financial
Analysis Techniques can help an analyst understand what drives ROE.
Analysts often use spreadsheet modeling to analyze and forecast company fundamentals.
The problem with this method is that the models' complexity can make their
conclusions seem precise. However, estimation is performed with error that can
compound over time. As a check on a spreadsheet model's output, an analyst should
consider which factors are likely to be different going forward and how this will affect
the firm. Analysts should also be able to explain the assumptions of a spreadsheet model.
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LOS 50.a
Industry analysis is necessary for understanding a company's business environment
before engaging in analysis of the company. The industry environment can provide
information about the firm's potential growth, competition, risks, appropriate debt
levels, and credit risk.
Industry valuation can be used in an active management strategy to determine which
industries to overweight or underweight in a portfolio.
Industry representation is often a component in a performance attribution analysis of a
portfolio's return.
LOS 50.h
Firms can be grouped into industries according to their products and services or business
cycle sensitivity, or through statistical methods that group firms with high historical
correlation in returns.
Industry classification systems from commercial providers include the Global Industry
Classification Standard (Standard & Poor's and MSCI Barra), Russell Global Sectors,
and the Industry Classification Benchmark (Dow Jones and FTSE).
Industry classification systems developed by government agencies include the
International Standard Industrial Classification (ISIC), the North American Industry
Classification System (NAICS), and systems designed for the European Union and
Australia/New Zealand.
LOS 50.c
A cyclical firm has earnings that are highly dependent on the business cycle. A noncyclical firm has earnings that are less dependent on the business cycle. Industries can
also be classified as cyclical or non-cyclical. Non-cyclical industries or firms can be
classified as defensive (demand for the product tends not to fluctuate with the business
cycle) or growth (demand is so strong that it is largely unaffected by the business cycle).
Limitations of descriptors such as growth, defensive, and cyclical include the facts
that cyclical industries often include growth firms; even non-cyclical industries can
be affected by severe recessions; defensive industries are not always safe investments;
business cycle timing differs across countries and regions; and the classification of firms
is somewhat arbitrary.
LOS 50.d
A peer group should consist of companies with similar business activities, demand
drivers, cost structure drivers, and availability of capital. To form a peer group, the
analyst will often start by identifying companies in the same industry, but the analyst
should use other information to verify that the firms in an industry are comparable.
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Study Session 14
to Industry and Company Analysis
LOS 50.e
A thorough industry analysis should:
•
Evaluate the relationships between macroeconomic variables and industry trends.
•
Estimate industry variables using different approaches and scenarios.
•
Check estimates against those from other analysts.
•
Compare the valuation for different industries.
•
Compare the valuation for industries across time to determine risk and rotation
•
strategIes.
•
Analyze industry prospects based on strategic groups.
•
Classify industries by their life-cycle stage.
•
Position the industry on the experience curve.
•
Consider demographic, macroeconomic, governmental, social, and technological
influences.
•
Examine the forces that determine industry competition.
LOS 50.f
Strategic analysis of an industry involves analyzing the competitive forces that determine
the possibility of economic profits.
Porter's five forces that determine industry competition are:
1. Rivalry among existing competitors.
2. Threat of entry.
3. Threat of substitutes.
4. Power of buyers.
5. Power of suppliers.
LOS 50.g
High barriers to entry prevent new competitors from taking away market share, but they
do not guarantee pricing power or high return on capital, especially if the products are
undifferentiated or barriers to exit result in overcapacity. Barriers to entry may change
•
over time.
While market fragmentation usually results in strong competition and low return on
capital, high industry concentration may not guarantee pricing power. If industry
products are undifferentiated, consumers will switch to the cheapest producer.
Overcapacity may result in price wars.
Capacity is fixed in the short run and variable in the long run. Undercapacity typically
results in pricing power. Producers may overinvest in new capacity, especially in cyclical
industries or if the capacity is physical and specialized. Non-physical capacity comes into
production and can be reallocated more quickly than physical capacity.
Highly variable market shares indicate a highly competitive industry. Stable market
shares suggest less intense competition. High switching costs contribute to market share
stability.
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Cross-Reference to CFA Institute Assigned Reading #50 - Introduction to Industry and Company Analysis
LOS 50.h
Phases of the industry life-cycle model are the embryonic, growth, shakeout, maturity,
and decline stages.
•
Embryonic stage: Slow growth; high prices; large investment required; high risk of
failure.
•
Growth stage: Rapid growth; little competition; falling prices; increasing
profi tabili ty.
•
Shakeout stage: Slowing growth; intense competition; industry overcapacity;
declining profitability; cost cutting; increased failures.
•
Mature stage: Slow growth; consolidation; high barriers ot entry; stable pricing;
superior firms gain market share.
•
Decline stage: Negative growth; declining prices; consolidation.
A limitation of life-cycle analysis is that life-cycle stages may not be as long or short as
anticipated or might be skipped altogether due to technological change, government
regulation, societal change, or demographics. Firms in the same life-cycle stage will
experience dissimilar growth and profits due to their competitive positions.
LOS 50.i
The elements of an industry strategic analysis are the major firms, barriers to entry,
industry concentration, influence of industry capacity on pricing, industry stability, life
cycle, competition, demographic influences, government influence, social influence,
technological influence, and whether the industry is growth, defensive, or cyclical.
LOS 50.j
Macroeconomic influences on industries include long-term trends in factors such
as GDP growth, interest rates, and inflation, as well as structural factors such as the
education level of the workforce.
Demographic
influences include the size and age distribution
of the population.
Government factors include tax rates, regulations, empowerment
organizations, and government purchases of goods and services.
of self-regulatory
Social influences relate to how people interact and conduct their lives.
Technology can dramatically change an industry through the introduction
improved products.
of new or
LOS 50.k
Company analysis should include an overview of the firm, industry characteristics, and
analysis of product demand, product costs, the pricing environment, the firm's financial
ratios, and projected financial statements and firm valuation. The analysis should
describe the company's competitive strategy.
Companies can employ a cost leadership (low-cost) strategy or a product or service
differentiation strategy. A cost leadership firm seeks to have the lowest costs of
production in its industry, offer the lowest prices, and generate enough volume to make
a superior return. A differentiating firm's products and services should be distinctive in
terms of type, quality, or delivery.
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©2015 Kaplan, Inc.
Cross-Reference to CFA Institute Assigned Reading #50 - Introduction
Study Session 14
to Industry and Company Analysis
1.
Industry classification systems from commercial index providers typically classify
firms by:
A. statistical methods.
B. products and services.
C. business cycle sensitivity.
2.
Firms and industries are most appropriately classified as cyclical or non-cyclical
based on:
A. their stock price fluctuations relative to the market.
B. the sensitivity of their earnings to the business cycle.
C. the volatility of their earnings relative to a peer group.
3.
ytsrpomlkieba
nA
An analyst should most likely include two firms in the same peer group for
analysis if the firms:
A. are both grouped in the same industry classification.
B. are similar in size, industry life-cycle stage, and cyclicality.
C. derive their revenue and earnings from similar business activities.
4.
The industry experience curve shows the cost per unit relative to:
A. output.
B. age of firms.
C. industry life-cycle stage.
5.
Greater pricing power is most likely to result from greater:
A. unused capacity.
B. market concentration.
C. volatility in market share.
6.
Which of the following statements best describes the relationship between
pricing power and ease of entry and exit? Greater ease of entry:
A. and greater ease of exit decrease pricing power.
B. and greater ease of exit increase pricing power.
C. decreases pricing power and greater ease of exit increases pricing power.
7.
Industry overcapacity and increased cost cutting characterize which stage of the
industry life cycle?
A. Growth.
B. Shakeout.
C. Maturity.
8.
Which of the following is least likely a significant external influence on industry
growth?
A. Social influences.
B. Macroeconomic factors.
C. Supplier bargaining power.
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Page 292
9.
Which of the following is least likely an element of an industry strategic analysis?
A. Market correlations.
B. Demographic influences.
C. Influence of industry capacity on pricing.
10.
Which of the following best describes a low-cost competitive strategy?
A. Volume sold is typically modest.
B. Managerial incentives promote operational efficiency.
C. Success depends heavily on creative marketing and product development.
ytslkieba
©2015 Kaplan, Inc.
Cross-Reference to CFA Institute Assigned Reading #50 - Introduction
Study Session 14
to Industry and Company Analysis
1.
B
The classification systems provided by S&P/MSCI Barra, Russell, and Dow Jones/FTSE
classify firms according to the product or service they produce.
2.
B
For industry analysis, cyclical firms and industries are those with earnings that are highly
dependent on the business cycle, while non-cyclical firms and industries are those with
earnings that are relatively less sensitive to the business cycle.
3.
C
Firms should be included in a peer group if their business activities are comparable. An
analyst may begin with available industry classifications when forming peer groups but
should refine them based on factors including the firms' sources of demand and earnings
and the geographic markets in which they operate.
4.
A
The experience curve shows the cost per unit relative to output. Unit cost declines
at higher output volume because of increases in productivity and economies of scale,
especially in industries with high fixed costs.
5.
B
Greater concentration (a small number of firms control a large part of the market)
typically reduces competition and results in greater pricing power. Greater unused
capacity in an industry, especially if chronic, results in greater price competition and
less pricing power. Greater stability in market share is typically associated with greater
• •
prIcIng power.
6.
C
In industries with greater ease of entry, firms have little pricing power because new
competitors can take away market share. High costs of exiting result in overcapacity and
likely price wars. Greater ease of exit (i.e., low costs of exit) increases pricing power.
7.
B
The shakeout stage is characterized by slowed growth, intense competition, industry
overcapacity, increased cost cutting, declining profitability, and increased failures.
8.
C
Supplier bargaining power is best characterized as a force internal to the industry.
External influences on industry growth, profitability, and risk include macroeconomic,
technological, demographic, governmental, and social influences.
9.
A
Elements of an industry strategic analysis include the major firms, barriers to entry/
success, industry concentration, influence of industry capacity on pricing, industry
stability, life cycle, competition, demographic influences, government influence, social
influence, technological influence, and whether the industry is growth, defensive, or
cyclical.
10. B
Firms that use a low-cost strategy should have managerial incentives suitable to create
efficient operations. In a low-cost strategy, the firm seeks to generate high enough sales
volume to make a superior return. Marketing and product development are key elements
of a differentiation strategy.
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Page 293
The following is a review of the Equity Analysis and Valuation principles designed to address the learning
outcome statements set forth by CFA Institute. Cross-Reference to CFA Institute Assigned Reading #51.YVUTSQPONLIEDCBA
EQUITY VALUATION: CONCEPTS AND
BASIC TOOLS
Study Session 14XMEA
EXAM Focus
This topic review discusses the use of discounted cash flow models, price multiples, and
asset-based models for stock valuation. Know when the various models are appropriate,
how to apply them, and their advantages and disadvantages. This topic is foundational
material for all three levels of the CFA exams. Be sure you understand these fundamental
concepts.
LOS 51.a: Evaluate whether a security, given its current market price and a
value estimate, is overvalued, fairly valued, or undervalued by the market.
urpomligecaVPCA
CPA ® Program Curriculum, Volume 5, page 244
Recall from the topic review of Market Efficiency that intrinsic value or fundamental
value is defined as the rational value investors would place on the asset if they had full
knowledge of the asset's characteristics. Analysts use valuation models to estimate the
intrinsic values of stocks and compare them to the stocks' market prices to determine
whether individual stocks are overvalued, undervalued, or fairly valued. In doing
valuation analysis for stocks, analysts are assuming that some stocks' prices deviate
significantly from their intrinsic values.
To the extent that market prices deviate from intrinsic values, analysts who can estimate
a stock's intrinsic value better than the market can earn abnormal profits if the stock's
market price moves toward its intrinsic value over time. There are several things to
consider, however, in deciding whether to invest based on differences between market
prices and estimated intrinsic values.
1. The larger the percentage difference between market prices and estimated values, the
more likely the investor is to take a position based on the estimate of intrinsic value.
Small differences between market prices and estimates of intrinsic values are to be
expected.
2. The more confident the investor is about the appropriateness of the valuation model
used, the more likely the investor is to take an investment position in a stock that is
identified as overvalued or undervalued.
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to CFA Institute Assigned Reading #51 - Equity Valuation: Concepts and Basic Tools
3. The more confident the investor is about the estimated inputs used in the valuation
model, the more likely the investor is to take an investment position in a stock that
is identified as overvalued or undervalued. Analysts must also consider the sensitivity
of a model value to each of its inputs in deciding whether to act on a difference
between model values and market prices. If a decrease of one-half percent in the
long-term growth rate used in the valuation model would produce an estimated
value equal to the market price, an analyst would have to be quite sure of the
model's growth estimate to take a position in the stock based on its estimated value.
4.
Even if we assume that market prices sometimes deviate from intrinsic values,
market prices must be treated as fairly reliable indications of intrinsic value.
Investors must consider why a stock is mispriced in the market. Investors may be
more confident about estimates of value that differ from market prices when few
analysts follow a particular security.
5. Finally, to take a position in a stock identified as mispriced in the market, an
investor must believe that the market price will actually move toward (and certainly
not away from) its estimated intrinsic value and that it will do so to a significant
extent within the investment time horizon.
LOS Sl.b: Describe major categories of equity valuation models.
ywvutsrqponmlihgfedcaVPFCA
CFA® Program Curriculum, Volume 5, page 246
Analysts use a variety of models to estimate the value of equities. Usually, an analyst will
use more than one model with several different sets of inputs to determine a range of
possible stock values.
In discounted cash How models (or present value models), a stock's value is estimated
as the present value of cash distributed to shareholders (dividend discount models) or the
present value of cash available to shareholders after the firm meets its necessary capital
expenditures and working capital expenses (free cashflow to equity models).
There are two basic types of multiplier models (or market multiple models) that can
be used to estimate intrinsic values. In the first type, the ratio of stock price to such
fundamentals as earnings, sales, book value, or cash flow per share is used to determine if
a stock is fairly valued. For example, the price to earnings (PIE) ratio is frequently used
by analysts.
PIE
The second type of multiplier model is based on the ratio of enterprise value to either
earnings before interest, taxes, depreciation, and amortization (EBITDA) or revenue.
Enterprise value is the market value of all a firm's outstanding securities minus cash and
short-term investments. Common stock value can be estimated by subtracting the value
of liabilities and preferred stock from an estimate of enterprise value.
In asset-based models, the intrinsic value of common stock is estimated as total asset
value minus liabilities and preferred stock. Analysts typically adjust the book values of
the firm's assets and liabilities to their fair values when estimating the market value of its
equity with an asset-based model.
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Cross-Reference to CFA Institute Assigned Reading #51 - Equity Valuation: Concepts and Basic Tools
LOS Sl.c: Explain the rationale for using present value models to value equity
and describe the dividend discount and free-cash-How-to-equity
models.
urpomligecaVPFCA
CFA ® Program Curriculum, Volume 5, page 248
The dividend discount model (OOM) is based on the rationale that the intrinsic value
of stock is the present value of its future dividends.
The most general form of the model is as follows:
where:
Vo = current stock value
Dt = dividend at time t
ke = required rate of return on common equity
toD
t
One-year holding period OOM. For a holding period of one year, the value of the stock
today is the present value of any dividends during the year plus the present value of the
expected price of the stock at the end of the year (referred to as its terminal value).
The one-year holding period OOM is simply:
v alue =
dividend to be received
(l+ke)
year-end price
+ ..:...__----=--(l+ke)
Example: One-period OOM valuation
Calculate the value of a stock that paid a $1 dividend last year, if next year's dividend
will be 50/0higher and the stock will sell for $13.45 at year-end. The required return is
13.20/0.
Answer:
The next dividend is the current dividend increased by the estimated growth rate. In
this case, we have:
01
= Do x (1 + dividend growth rate) = $1.00 x (1 + 0.05) = $1.05
The present value of the expected future cash flows is:
divid
IVI en d : $1.05 = $0.93
1.132
.
$13.45 = $ 11.88
year-en d prIce:
1.132
The current value based on the investor's expectations is:
stock value
Page 296
= $0.93
+ $11.88
= $12.81
©2015 Kaplan, Inc.
Study Session 14
to CFA Institute Assigned Reading #51 - Equity Valuation: Concepts and Basic Tools
Cross-Reference
Multiple-year holding period DDM. With a multiple-year holding period, we simply
sum the present values of the estimated dividends over the holding period and the
estimated terminal value.
For a two-year holding period, we have:
yxvutsrqponmlkihgfedcbaYTPNIFD
Professor'sNote: It is useful to think of the subscript t on dividends (Dt) and
prices (Pt) as the end of period t. For example, in the preceding equation, P2
is the price at the end of Year 2. Think of it as the selling price of a share,
immediately after D 2 is received.
t
Example: Multiple-period
DDM valuation
A stock recently paid a dividend of $1.00 which is expected to grow at 50/0per year.
The required rate of return of 13.20/0. Calculate the value of this stock assuming that
it will be priced at $14.12 two years from now.
Answer:
Find the PV of the future dividends:
D : $1.05 = $0.93
1 1.132
D : $1.05(1.05) = $1.103 = $0.86
2
(1.132)2
1.2814
PV of dividends
=
0.93 + 0.86
=
$1.79
Find the PV of the future price:
$14.12 = $11.02
(1.132)2
Add the present values. The current value based on the investor's expectations is
$1.79 + $11.02 = $12.81.
The most general form of the DDM uses an infinite holding period because a
corporation has an indefinite life. In an infinite-period DDM model, the present value
of all expected future dividends is calculated and there is no explicit terminal value for
the stock. In practice, as we will see, a terminal value can be calculated at a time in the
future after which the growth rate of dividends is expected to be constant.
Free cash flow to equity (FCFE) is often used in discounted cash flow models instead of
dividends because it represents the potential amount of cash that could be paid out to
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Cross-Reference to CFA Institute Assigned Reading #51 - Equity Valuation: Concepts and Basic Tools
common shareholders. That is, FCFE reflects the firm's capacity to pay dividends. FCFE
is also useful for firms that do not currently pay dividends.
FCFE is defined as the cash remaining after a firm meets all of its debt obligations
and provides for the capital expenditures necessary to maintain existing assets and to
purchase the new assets needed to support the assumed growth of the firm. In other
words, it is the cash available to the firm's equity holders after a firm meets all of its
other obligations. FCFE for a period is often calculated as:
FCFE
:=
net income + depreciation - increase in working capital - fixed capital
investment (FCInv) - debt principal repayments + new debt issues
i
FCFE can also be calculated as:
FCFE
:=
cash flow from operations - FCInv + net borrowing
In the second formula, net borrowing is the increase in debt during the period (i.e.,
amount borrowed minus amount repaid) and is assumed to be available to shareholders.
Fixed capital investment must be subtracted because the firm must invest in assets to
sustain itself. FCFE is projected for future periods using the firm's financial statements.
Restating the general form of the DDM in terms of FCFE, we have:
yutsrqponmlihgfedcaTSRPNMECA
Estimating the Required Return for Equity
The capital asset pricing model (CAPM) provides an estimate of the required rate of
return (ki) for security i as a function of its systematic risk (!3i)' the risk-free rate (Rf),
and the expected return on the market [E(Rmkt)] as:
kifR
ki = Rf
+ ~i[E(Rmkt ) -
Rf ]
There is some controversy over whether the CAPM is the best model to calculate the
required return on equity. Also, different analysts will likely use different inputs, so there
is no single number that is correct.
Professor'sNote: The CAPM is discussed in detail in the Study Session on
portfolio management.
Recall from the topic review of Cost of Capital that for firms with publicly traded debt,
analysts often estimate the required return on the firm's common equity by adding a risk
premium to the firm's current bond yield. If the firm does not have publicly traded debt,
an analyst can add a larger risk premium to a government bond yield.
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to CFA Institute Assigned Reading #51 - Equity Valuation: Concepts and Basic Tools
Cross-Reference
LOS Sl.d: Calculate the intrinsic value of a non-callable, non-convertible
preferred stock.
urpomligecaVPCA
CPA ® Program Curriculum, Volume 5, page 251
Preferred stock pays a dividend that is usually fixed and usually has an indefinite
maturity. When the dividend is fixed and the stream of dividends is infinite, the infinite
period dividend discount model reduces to a simple ratio:
Example: Preferred stock valuation
A company's $100 par preferred stock pays a $5.00 annual dividend and has a required
return of 8%. Calculate the value of the preferred stock.
Answer:
Value of the preferred stock: Op I kp
IF
= $5.00 I 0.08 = $62.50
In the previous example, if the dividends were paid semiannually and the preferred stock
had a maturity of one year, we would use a formula similar to the one we examined
earlier for common stock. Instead of the price, we would use the par value (F) paid by
the firm. Instead of the required return on common, we would use the required return
on preferred:
value = __0-=-1_ + --0_;:2=-----2
k
k
1+ p
1+ p
222
+ __ F--=2'---_
1+
k
2
p
With a I-year maturity, there are two semiannual dividends of $2.50 remaining, and
with a required semiannual return of 40/0 we have:
value =
$2.50 +
$2.50
+
$100
= $97.17
(1+ 0.04)1 (1+ 0.04)2
(1+ 0.04)2
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LOS Sl.e: Calculate and interpret the intrinsic value of an equity security
based on the Gordon (constant) growth dividend discount model or a twostage dividend discount model, as appropriate.
zywvutsrponmlkihgfedcaWVPNMIGDCA
CPA ® Program Curriculum, Volume 5, page 254
The Gordon growth model (or constant growth model) assumes the annual growth
rate of dividends, gc' is constant. Hence, next period's dividend, D1, is Do(l + gc)' the
second year's dividend, Dz' is Do(l + gc)2, and so on. The extended equation using this
assumption gives the present value of the expected future dividends (Vo) as:
gVD
okgD
When the growth rate of dividends is constant, this equation simplifies to the Gordon
(constant) growth model:
Vo
= Do (1 + gc) =
01
k, - gc
k, -gc
Professor's Note: In much of the finance literature, you will see this model
referred to as the constant growth DDM, infinite period DDM, or the Gordon
growth model. Whatever you call it, memorize D lover (k minus g). Note that
our valuation model for preferred stock is the same as the constant growth model
with no growth (g :;:0).
The assumptions of the Gordon growth model are:
•
•
•
Dividends are the appropriate measure of shareholder wealth.
The constant dividend growth rate, gc' and required return on stock, ke' are never
expected to change.
ke must be greater than gc. If not, the math will not work.
If anyone of these assumptions is not met, the model is not appropriate.
Example: Gordon growth model valuation
Calculate the value of a stock that paid a $2 dividend last year, if dividends are
expected to grow at 50/0forever and the required return on equity is 120/0.
Answer:
Calculate the stock's value
«
D 1 / (k, - g.)
:;:$2.10/
:;:$30.00
Page 300
(0.12 - 0.05)
©2015 Kaplan, Inc.
Cross-Reference
Study Session 14
to CFA Institute Assigned Reading #51 - Equity Valuation: Concepts and Basic Toolsyxwvutsrponmlkjihg
Professor'sNote: When doing stock valuation problems on the exam, watch for
words like "forever," "infinitely, " "indefinitely, " "for the foreseeable future, " and
so on. This will tell you that the Gordon growth model should be used. Also
watch for words like (Justpaid" or "recentlypaid. " These will refer to the last
dividend, Do. Words like "will pay" or "is expected to pay" refer to Dj•
This example demonstrates that the stock's value is determined by the relationship
between the investor's required rate of return on equity, ke' and the projected growth rate
of dividends, gc:
•
•
•
As the
As the
Small
stock's
difference between ke and gc widens, the value of the stock falls.
difference narrows, the value of the stock rises.
changes in the difference between ke and gc can cause large changes in the
value.
Because the estimated stock value is very sensitive to the denominator, an analyst should
calculate several different value estimates using a range of required returns and growth
rates.
An analyst can also use the Gordon growth model to determine how much of the
estimated stock value is due to dividend growth. To do this, assume the growth rate is
zero and calculate a value. Then, subtract this value from the stock value estimated using
a positive growth rate.
Example: Amount of estimated stock value due to dividend growth
Using the data from the previous example, calculate how much of the estimated stock
value is due to dividend growth.
Answer:
The estimated stock value with a growth rate of zero is:
Vo = D / k
=
$2.00 / 0.12
=
$16.67
The amount of the estimated stock value due to estimated dividend growth is:
$30.00 - $16.67
=
$13.33
Estimating the Growth Rate in Dividends
To estimate the growth rate in dividends, the analyst can use three methods:
1. Use the historical growth in dividends for the firm.
2. Use the median industry dividend growth rate.
3.
Estimate the sustainable growth rate.
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The sustainable growth rate is the rate at which equity, earnings, and dividends can
continue to grow indefinitely assuming that ROE is constant, the dividend payout ratio
is constant, and no new equity is sold.
gROE
sustainable growth
«
(1 - dividend payout ratio) x ROE
The quantity (1 - dividend payout ratio) is also referred to as the retention rate, the
proportion of net income that is not paid out as dividends and goes to retained earnings,
thus increasing equity.
Example: Sustainable growth rate
Green, Inc., is expected to pay dividends equal to 250/0 of earnings. Green's ROE is
210/0. Calculate and interpret its sustainable growth rate.
Answer:
g:;:; (1-
0.25) x 210/0:;:; 15.750/0
With long-run economic growth typically in the single digits, it is unlikely that a firm
could sustain 15.750/0 growth forever. The analyst should also examine the growth
rate for the industry and the firm's historical growth rate to determine whether the
estimate is reasonable.
Some firms do not currently pay dividends but are expected to begin paying dividends
at some point in the future. A firm may not currently pay a dividend because it is in
financial distress and cannot afford to payout cash or because the return the firm can
earn by reinvesting cash is greater than what stockholders could expect to earn by
investing dividends elsewhere.
For these firms, an analyst must estimate the amount and timing of the first dividend in
order to use the Gordon growth model. Because these parameters are highly uncertain,
the analyst should check the estimate from the Gordon growth model against estimates
made using other models.
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Example: A firm with no current dividend
A firm currently pays no dividend but is expected to pay a dividend at the end of Year
4. Year 4 earnings are expected to be $1.64, and the firm will maintain a payout ratio
of 500/0. Assuming a constant growth rate of 50/0and a required rate of return of 100/0,
estimate the current value of this stock.
Answer:
The first step is to find the value of the stock at the end of Year 3. Remember, P3 is
the present value of dividends in Years 4 through infinity, calculated at the end of Year
3, one period before the first dividend is paid.
rogfecbVP
Calculate D4' the estimate of the dividend that will be paid at the end of Year 4:
D
D4
= (dividend payout ratio)(E4) =
(0.5)(1.64)
=
$0.82
Apply the constant growth model to estimate V3:
V3
=
D4 /kgD(k, - g.)
=
$0.82 / (0.10 - 0.05)
=
$16.40
The second step is to calculate the current value, Vo:
Vo = 16.40/
1.13 = $12.32
Multistage Dividend Growth Models
A firm may temporarily experience a growth rate that exceeds the required rate of return
on the firm's equity, but no firm can maintain this relationship indefinitely. A firm with
an extremely high growth rate will attract competition, and its growth rate will eventually
fall. We must assume the firm will return to a more sustainable rate of growth at some
point in the future in order to calculate the present value of expected future dividends.
One way to value a dividend-paying firm that is experiencing temporarily high growth
is to add the present values of dividends expected during the high-growth period to the
present value of the constant growth value of the firm at the end of the high-growth
period. This is referred to as the multistage dividend discount model.
where P =
n
D
k,
n+l
- gc
is the terminal stock value, assuming that dividends at t = n + 1
and beyond grow at a constant rate of gc.
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Steps in using the multistage model:
•
•
•
•
•
•
•
Determine the discount rate, ke.
Project the size and duration of the high initial dividend growth rate, t'.
Estimate dividends during the high-growth period.
Estimate the constant growth rate at the end of the high-growth period, gc.
Estimate the first dividend that will grow at the constant rate.
Use the constant growth value to calculate the stock value at the end of the highgrowth period.
Add the PVs of all dividends to the PV of the terminal value of the stock.
tgcPD
Example: Multistage growth
Consider a stock with dividends that are expected to grow at 200/0per year for four
years, after which they are expected to grow at 50/0per year, indefinitely. The last
dividend paid was $1.00, and ke = 100/0.Calculate the value of this stock using the
multistage growth model.
Answer:
Calculate the dividends over the high-growth period:
D.
= Do(l
+ g*)
= 1.00(1.20) = $1.20
D2
= D1(1
+ g")
= 1.20(1.20) = 1.22 = $1.44
= D2(1
D 4 = D3(1
+ g*)
= 1.44(1.20) = 1.23 = $1.73
+ g*)
= 1.73(1.20) = 1.24 = $2.08 (rounded up)
D3
Although we increase D3 by the high growth rate of 200/0to get D 4' D 4 will grow at
the constant growth rate of 50/0for the foreseeable future. This property of D4 allows
us to use the constant growth model formula with D4 to get P3' a time = 3 value for
all the (infinite) dividends expected from time = 4 onward.
PD
__ 2_.0_8_ = 41.60
0.10 - 0.05
Finally, we can sum the present values of dividends 1, 2, and 3 and of P3 to get the
present value of all the expected future dividends during both the high- and constant
growth periods:
1.20
1.1
Page 304
+ 1.44 + 1.73 + 41.60
1.12
1.13
= $34.84
1.13
©2015 Kaplan, Inc.
Cross-Reference
Study Session 14
to CFA Institute Assigned Reading #51 - Equity Valuation: Concepts and Basic Toolsyxwvutsrqponmlkih
Professor's Note: Many finance textbooks solve multiple stage growth problems
like this one by using the first dividend that has grown at the constant long-term
rate to calculate the terminal value, one period after the dividend we have used.
Except for rounding, this results in the same current stock value. In fact, the
constant growth model can be employed using any dividend during the assumed
constant growth period.
A common mistake with multistage growth problems is to calculate the future
value, p 3 in this example, and then to either forget to discount it back to the
present or to discount over the number of periods until the constant growth
dividend is paid (four in this example) rather than using the correct number of
periods for discounting the constant growth value (three periods in the example).
Don't make these mistakes because question writers like to present these common
errors as answer choices.
LOS 51.f: Identify characteristics of companies for which the constant growth
or a multi-stage dividend discount model is appropriate.
CPA ® Program Curriculum, Volume 5, page 257
The Gordon growth model uses a single constant growth rate of dividends and is most
appropriate for valuing stable and mature, non-cyclical, dividend-paying firms.
For dividend-paying firms with dividends that are expected to grow rapidly, slowly, or
erratically over some period, followed by constant dividend growth, some form of the
multistage growth model should be employed. The important points are that dividends
must be estimable and must grow at a constant rate after some initial period so that the
constant growth model can be used to determine the terminal value of the stock. Thus,
we can apply multistage dividend growth models to a firm with high current growth that
will drop to a stable rate in the future or to a firm that is temporarily losing market share
and growing slowly or getting smaller, as long as its growth is expected to stabilize to a
constant rate at some point in the future.
One variant of a multistage growth model assumes that the firm has three stages
of dividend growth, not just two. These three stages can be categorized as growth,
transition, and maturity. A 3-stage model would be suitable for firms with an initial
high growth rate, followed by a lower growth rate during a second, transitional period,
followed by the constant growth rate in the long run, such as a young firm still in the
high growth phase.
When a firm does not pay dividends, estimates of dividend payments some years in the
future are highly speculative. In this case, and in any case where future dividends cannot
be estimated with much confidence, valuation based on FCFE is appropriate as long
as growth rates of earnings can be estimated. In other cases, valuation based on price
multiples may be more appropriate.
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LOS 5l.g: Explain the rationale for using price multiples to value equity, how
the price to earnings multiple relates to fundamentals, and the use of multiples
based on comparables.
urpomligecaVPCA
CPA ® Program Curriculum, Volume 5, page 263
Because the dividend discount model is very sensitive to its inputs, many investors rely
on other methods. In a price multiple approach, an analyst compares a stock's price
multiple to a benchmark value based on an index, industry group of firms, or a peer
group of firms within an industry. Common price multiples used for valuation include
price-to-earnings, price-to-cash flow, price-to-sales, and price-to-book value ratios.
Price multiples are widely used by analysts and readily available in numerous media
outlets. Price multiples are easily calculated and can be used in time series and crosssectional comparisons. Many of these ratios have been shown to be useful for predicting
stock returns, with low multiples associated with higher future returns.
A critique of price multiples is that they reflect only the past because historical (trailing)
data are often used in the denominator. For this reason, many practitioners use forward
(leading or prospective) values in the denominator (sales, book value, earnings, etc.).
The use of projected values can result in much different ratios. An analyst should be sure
to use price multiple calculations consistently across firms.
When we compare a price multiple, such as PIE, for a firm to those of other firms based
on market prices, we are using price multiples based on comparables. By contrast,
price multiples based on fundamentals tell us what a multiple should be based on some
valuation model and therefore are not dependent on the current market prices of other
companies to establish value.
SPIFECB
LOS 5l.h: Calculate and interpret the following multiples: price to earnings,
price to an estimate of operating cash flow, price to sales, and price to book
value.
CPA ® Program Curriculum, Volume 5, page 263
Price multiples used for valuation include:
•
•
•
•
Price-earnings (PIE) ratio: The PIE ratio is a firm's stock price divided by earnings
per share and is widely used by analysts and cited in the press.
Price-sales (PIS) ratio: The PIS ratio is a firm's stock price divided by sales per share.
Price-book value (P/B) ratio: The PIB ratio is a firm's stock price divided by book
value of equity per share.
Price-cash flow (P/CF) ratio: The PICF ratio is a firm's stock price divided by cash
flow per share, where cash flow may be defined as operating cash flow or free cash
flow.
Other multiples can be used that are industry specific. For example, in the cable
television industry, stock market capitalization is compared to the number of
subscribers.
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Cross-Reference
Multiples Based on Fundamentals
To understand fundamental price multiples, consider the Gordon growth valuation
model:
p
- D1
p.0-
k-g
If we divide both sides of the equation by next year's projected earnings, E1, we get:
IE
utsrqonlihgedaPIED
D1 I E1 , which is the leading PIE for this stock if it is valued in the market
k-g
according to the constant growth DDM.
This PIE based on fundamentals is also referred to as a justified PIE. It is "justified"
because, assuming we have the correct inputs for D1, E1, ke' and g, the equation above
will provide a PIE ratio that is based on the present value of the future cash flows. We
refer to this as a leading PIE ratio because it is based on expected earnings next period,
not on actual earnings for the previous period, which would produce a lagging or trailing
PIE ratio.
One advantage of this approach is that it makes clear how the firm's PIE ratio should be
related to its fundamentals. It illustrates that the PIE ratio is a function of:
•
•
•
D1 I E1 = expected dividend payout ratio.
k= required rate of return on the stock.
g= expected constant growth rate of dividends.
Example: PIE based on fundamentals
A firm has an expected dividend payout ratio of 600/0, a required rate of return of
110/0, and an expected dividend growth rate of 50/0. Calculate the firm's fundamental
(justified) leading PIE ratio.
Answer:
expected PIE ratio: 0.6 I (0.11 - 0.05) = 10
The justified PIE ratio serves as a benchmark for the price at which the stock should
trade. In the previous example, if the firm's actual PIE ratio (based on the market price
and expected earnings) was 16, the stock would be considered overvalued. If the firm's
market PIE ratio was 7, the stock would be considered undervalued.
PIE ratios based on fundamentals are very sensitive to the inputs (especially the
denominator, k - g), so the analyst should use several different sets of inputs to indicate
a range for the justified PIE.
Because we started with the equation for the constant growth DDM, the PIE ratio
calculated in this way is the PIE ratio consistent with the constant growth DDM. We
can see from the formula that, other things equal, the PIE ratio we have defined here will
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increase with (1) a higher dividend payout rate, (2) a higher growth rate, or (3) a lower
required rate of return. So, if the subject firm has a higher dividend payout ratio, higher
growth rate, and lower required return than its peers, a higher PIE ratio may be justified.
yxwvutsrqonmlihgfedcbaWPNIHEA
In practice, other things are not equal. An increase in the dividend payout ratio, for
example, will reduce the firm's sustainable growth rate. While higher dividends will
increase firm value, a lower growth rate will decrease firm value. This relationship is
referred to as the dividend displacement of earnings. The net effect on firm value of
increasing the dividend payout ratio is ambiguous. As intuition would suggest, firms
cannot continually increase their PIEs or market values by increasing the dividend
payout ratio. Otherwise, all firms would have 1000/0 payout ratios.
Professor's Note: Watch for the wording "other things equal" or "other variables
unchanged" in any exam questions about the effect of changing one variable.
Example: Fundamental PIE ratio comparison
Holt Industries makes decorative items. The figures below are for Holt and its
industry.
Holt Industries
Industry Average
Dividend payout ratio
25%
160/0
Sales growth
7.50/0
3.9%
Total debt to equity
113%
680/0
Which of these factors suggest a higher fundamental PIE ratio for Holt?
Answer:
•
•
•
The higher dividend payout ratio supports Holt having a higher PIE ratio than
the industry.
Higher growth in sales suggests that Holt will be able to increase dividends at a
faster rate, which supports Holt having a higher PIE ratio than the industry.
The higher level of debt, however, indicates that Holt has higher risk and a higher
required return on equity, which supports Holt having a lower PIE ratio than the
industry.
Multiples Based on Comparables
Valuation based on price multiple comparables (or cornps) involves using a price
multiple to evaluate whether an asset is valued properly relative to a benchmark.
Common benchmarks include the stock's historical average (a time series comparison)
or similar stocks and industry averages (a cross-sectional comparison). Comparing firms
within an industry is useful for analysts who are familiar with a particular industry. Price
multiples are readily calculated and provided by many media outlets.
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The economic principle guiding this method is the law of one price, which asserts that
two identical assets should sell at the same price, or in this case, two comparable assets
should have approximately the same multiple.
The analyst should be sure that any comparables used really are comparable. Price
multiples may not be comparable across firms if the firms are different sizes, are in
different industries, or will grow at different rates. Furthermore, using PIE ratios for
cyclical firms is complicated due to their sensitivity to economic conditions. In this case,
the PIS ratio may be favored over the PIE ratio because the sales are less volatile than
earnings due to both operating and financial leverage.
yutsronligedcaYSRPLIFECB
The disadvantages of using price multiples based on comparables are (1) a stock may
appear overvalued by the comparable method but undervalued by the fundamental
method, or vice versa; (2) different accounting methods can result in price multiples that
are not comparable across firms, especially internationally; and (3) price multiples for
cyclical firms may be greatly affected by economic conditions at a given point in time.
Example: Valuation using comparables
The following figures are for Renee's Bakery. All figures except the stock price are in
millions.
20)(3
20)(2
20XI
Total stockholder's equity
$55.60
$54.10
$52.60
Net revenues
$77.30
$73.60
$70.80
$3.20
$1.10
$0.40
Net cash flow from operations
$17.90
$15.20
$12.20
Stock price
$11.40
$14.40
$12.05
4.476
3.994
3.823
Fiscal Year-End
XI
Net income
Shares outstanding
Calculate Renee's lagging PIE, PICF, PIS, and PIB ratios. Judge whether the firm is
undervalued or overvalued using the following relevant industry averages for 20X3
and the firm's historical trend.
Lagging Industry Ratios
20)(3
Price- to-earnings
8.6
Price-to-cash flow
4.6
Price- to-sales
1.4
Price-to-book value
3.6
Answer:
To calculate the lagging price multiples, first divide the relevant financial statement
items by the number of shares to get per-share amounts. Then, divide the stock price
by this figure.
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For example, for the PIS ratio for 20X3, divide net revenue (net sales) by the number
of shares:
SPIFECB
sales
= $77.30 = 17.270
number of shares
4.476
Then, divide the stock price by sales per share:
p = $11.40 = 0.7
S
17.3
Using the net income for earnings, the net cash flow from operations for the cash
flow, and stockholder's equity for book value, the ratios for Renee's Bakery are:
XI
20X3
20)(2
20XISPIFECB
PIE
PICF
PIS
15.9
52.3
115.2
2.9
3.8
3.8
0.7
0.8
0.7
PIB
0.9
1.1
0.9
Comparing Renee's Bakery's ratios to the industry averages for 20X3, the price
multiples are lower in all cases except for the PIE multiple. This cross-sectional
evidence suggests that Renee's Bakery is undervalued.
The PIE ratio merits further investigation. Renee's Bakery may have a higher PIE
because its earnings are depressed by high depreciation, interest expense, or taxes.
Calculating the price-EBITDA ratio would provide an alternative measure that is
unaffected by these expenses.
On a time series basis, the ratios are trending downward. This indicates that Renee's
Bakery may be currently undervalued relative to its past valuations. We could also
calculate average price multiples for the ratios over 20XI-20X3 as a benchmark for
the current values:
Company average PIE 20XI-20X3
61.1
Company average PICF 20XI-20X3
3.5
Company average PIS 20XI-20X3
0.7
Company average PIB 20XI-20X3
1.0
The current PIE, PICF, and PIB ratios are lower than their 3-year averages. This
indicates that Renee's Bakery may be currently undervalued. It also may be the case,
however, that PIE ratios for the market as a whole have been decreasing over the
period due to systematic factors.
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LOS 51.i: Describe enterprise value multiples and their use in estimating
equity value.
urpomligecaVPFCA
CFA® Program Curriculum, Volume 5, page 271
Enterprise value (EV) measures total company value. EV can be viewed as what it would
cost to acquire the firm:
EV
=
market value of common and preferred stock + market value of debt - cash
and short-term investments
Cash and short-term investments are subtracted because an acquirer's cost for a firm
would be decreased by the amount of the target's liquid assets. Although an acquirer
assumes the firm's debt, it also receives the firm's cash and short-term investments.
Enterprise value is appropriate when an analyst wants to compare the values of firms that
have significant differences in capital structure.
EBITDA (earnings before interest, taxes, depreciation, and amortization are subtracted)
is probably the most frequently used denominator for EV multiples; operating income
can also be used. Because the numerator represents total company value, it should be
compared to earnings of both debt and equity owners. An advantage of using EBITDA
instead of net income is that EBITDA is usually positive even when earnings are not.
When net income is negative, value multiples based on earnings are meaningless. A
disadvantage of using EBITDA is that it often includes non-cash revenues and expenses.
A potential problem with using enterprise value is that the market value of a firm's debt
is often not available. In this case, the analyst can use the market values of similar bonds
or can use their book values. Book value, however, may not be a good estimate of market
value if firm and market conditions have changed significantly since the bonds were
issued.
Example: Calculating EV/EBITDA multiples
Daniel, Inc., is a manufacturer of small refrigerators and other appliances. The
following figures are from Daniel's most recent financial statements except for the
market value of long-term debt, which has been estimated from financial market data.
Stock price
$30.00
Shares outstanding
300,000
$800,000
Market value of long-term debt
Book value of long-term debt
$1,100,000
Book value of total debt
$2,600,000
Cash and marketable securities
$300,000
$1,200,000
EBITDA
Calculate the EV/EBITDA multiple.
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Answer:
First, we must estimate the market value of the firm's short-term debt and liabilities.
To do so, subtract the book value of long-term debt from the book value of total
debt: $2,600,000 - $1,100,000 = $1,500,000. This is the book value of the firm's
short-term debt. We can assume the market value of these short-term items is close
to their book value. (As we will see in the Study Session on fixed income valuation,
the market values of debt instruments approach their face values as they get close to
maturity.)
Add the market value of long-term debt to get the market value of total debt:
$800,000 + $1,500,000 = $2,300,000.
The market value of equity is the stock price multiplied by the number of shares:
$30 x 300,000 = $9,000,000.
The enterprise value of the firm is the sum of debt and equity minus cash:
$2,300,000 + $9,000,000 - $300,000 = $11,000,000.
EV/EBITDA
= $11,000,000 I $1,200,000 = 9.2.
I
If the competitor or industry average EV/EBITDA is above 9.2, Daniel is relatively
undervalued. If the competitor or industry average EV/EBITDA is below 9.2, Daniel
is relatively overvalued.
LOS 51.j: Describe asset-based valuation models and their use in estimating
equity value.
urpomligecaVPFCA
CFA® Program Curriculum, Volume 5, page 274
Our third category of valuation model is asset-based models, which are based on the
idea that equity value is the market or fair value of assets minus the market or fair
value of liabilities. Because market values of firm assets are usually difficult to obtain,
the analyst typically starts with the balance sheet to determine the values of assets and
liabilities. In most cases, market values are not equal to book values. Possible approaches
to valuing assets are to value them at their depreciated values, inflation-adjusted
depreciated values, or estimated replacement values.
Applying asset-based models is especially problematic for a firm that has a large amount
of intangible assets, on or off the balance sheet. The effect of the loss of the current
owners' talents and customer relationships on forward earnings may be quite difficult to
measure. Analysts often consider asset-based model values as floor or minimum values
when significant intangibles, such as business reputation, are involved. An analyst should
consider supplementing an asset-based valuation with a more forward-looking valuation,
such as one from a discounted cash flow model.
Asset-based model valuations are most reliable when the firm has primarily tangible
short-term assets, assets with ready market values (e.g., financial or natural resource
firms), or when the firm will cease to operate and is being liquidated. Asset-based models
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are often used to value private companies but may be increasingly useful for public firms
as they move toward fair value reporting on the balance sheet.
Example: Using an asset-based model for a public firm
Williams Optical is a publicly traded firm. An analyst estimates that the market value
of net fixed assets is 1200/0of book value. Liability and short-term asset market values
are assumed to equal their book values. The firm has 2,000 shares outstanding.
nA
Using the selected financial results in the table, calculate the value of the firm's net
assets on a per-share basis.
Cash
$10,000
Accounts receivable
$20,000
Inventories
$50,000
Net fixed assets
$120,000
Total assets
$200,000
Accounts payable
$5,000
Notes payable
$30,000
Term loans
$45,000
Common stockholder equity
$120,000
Total assets
$200,000
Answer:
Estimate the market value of assets, adjusting the fixed assets for the analyst's
estimates of their market values:
$10,000 + $20,000 + $50,000 + $120,000(1.20)
=
$224,000
Determine the market value of liabilities:
$5,000 + 30,000 + $45,000 = $80,000
Calculate the adjusted equity value:
$224,000 - $80,000
=
$144,000
Calculate the adjusted equity value per share:
I
$144,000 I 2,000 = $72
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LOS 51.k: Explain advantages and disadvantages of each category of valuation
model.
urpomligecaVPIFECA
CFA ® Program Curriculum, Volume 5, page 246
Advantages of discounted cash flow models:
•
•
They are based on the fundamental concept of discounted present value and are well
grounded in finance theory.
They are widely accepted in the analyst community.
Disadvantages of discounted cash flow models:
•
•
Their inputs must be estimated.
Value estimates are very sensitive to input values.
Advantages of comparable valuation using price multiples:
•
•
•
•
•
Evidence that some price multiples are useful for predicting stock returns.
Price multiples are widely used by analysts.
Price multiples are readily available.
They can be used in time series and cross-sectional comparisons.
EV/EBITDA multiples are useful when comparing firm values independent of
capital structure or when earnings are negative and the PIE ratio cannot be used.
Disadvantages of comparable valuation using price multiples:
•
•
•
•
•
•
Lagging price multiples reflect the past.
Price multiples may not be comparable across firms if the firms have different size,
products, and growth.
Price multiples for cyclical firms may be greatly affected by economic conditions at a
•
• • •
gIven pOInt In time.
A stock may appear overvalued by the comparable method but undervalued by a
fundamental method or vice versa.
Different accounting methods can result in price multiples that are not comparable
across firms, especially internationally.
A negative denominator in a price multiple results in a meaningless ratio. The PIE
ratio is especially susceptible to this problem.
Advantages of price multiple valuations based on fundamentals:
•
•
They are based on theoretically sound valuation models.
They correspond to widely accepted value metrics.
Disadvantage of price multiple valuations based on fundamentals:
•
Price multiples based on fundamentals
the k - g denominator).
will be very sensitive to the inputs (especially
Advantages of asset-based models:
•
•
•
Page 314
They can provide floor values.
They are most reliable when the firm has primarily tangible short-term assets, assets
with ready market values, or when the firm is being liquidated.
They are increasingly useful for valuing public firms that report fair values.
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Cross-Reference to CFA Institute Assigned Reading #51 - Equity Valuation: Concepts and Basic Tools
Disadvantages of asset-based models:
•
•
•
•
Market values are often difficult to obtain.
Market values are usually different than book values.
They are inaccurate when a firm has a high proportion of intangible assets or future
cash flows not reflected in asset values.
Assets can be difficult to value during periods of hyperinflation.
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LOS 51.a
An asset is fairly valued if the market price is equal to its estimated intrinsic value,
undervalued if the market price is less than its estimated value, and overvalued if the
market price is greater than the estimated value.
For security valuation to be profitable, the security must be mispriced now and price
must converge to intrinsic value over the investment horizon.
Securities that are followed by many investors are more likely to be fairly valued than
securities that are neglected by analysts.
LOS 51.b
Discounted cash flow models estimate the present value of cash distributed to
shareholders (dividend discount models) or the present value of cash available to
shareholders after meeting capital expenditures and working capital expenses (free cash
flow to equity models).
Multiplier models compare the stock price to earnings, sales, book value, or cash flow.
Alternatively, enterprise value is compared to sales or EBITDA.
Asset-based models define a stock's value as the firm's total asset value minus liabilities
and preferred stock, on a per-share basis.
LOS 51.c
The dividend discount model is based on the rationale that a corporation has an
indefinite life, and a stock's value is the present value of its future cash dividends. The
most general form of the model is:
Free cash flow to equity (FCFE) can be used instead of dividends. FCFE is the cash
remaining after a firm meets all of its debt obligations and provides for necessary capital
expenditures. FCFE reflects the firm's capacity for dividends and is useful for firms that
currently do not pay a dividend. By using FCFE, an analyst does not need to project the
amount and timing of future dividends.
LOS 51.d
Preferred stock typically pays a fixed dividend and does not mature. It is valued as:
preferred stock value
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to CFA Institute Assigned Reading #51 - Equity Valuation: Concepts and Basic Tools
LOS 5l.e
The Gordon growth model assumes the growth rate in dividends is constant:
"vo -_
Dl
k, -gc
vongID
The sustainable growth rate is the rate at which earnings and dividends can continue to
grow indefinitely:
g = b x ROE
where:
b
= earnings retention rate = 1 - dividend payout rate
ROE = return on equity
A firm with high growth over some number of periods followed by a constant growth
rate of dividends forever can be valued using a multistage model:
vaIue
Dl
D2
n,
=(
)+
2 + ...+
+
1 + k, (1 + k, )
(1 + k, )n (1 + k, )n
where:
Dn+1
k, -gc
gc
n
=
=
constant growth rate of dividends
number of periods of supernormal growth
LOS 5l.f
The constant growth model is most appropriate for firms that pay dividends that grow at
a constant rate, such as stable and mature firms or noncyclical firms such as utilities and
food producers in mature markets.
A 2-stage DDM would be most appropriate for a firm with high current growth that will
drop to a stable rate in the future, an older firm that is experiencing a temporary high
growth phase, or an older firm with a market share that is decreasing but expected to
stabilize.
A 3-stage model would be appropriate for a young firm still in a high growth phase.
LOS 5l.g
The PIE ratio based on fundamentals is calculated as:
PIE
If the subject firm has a higher dividend payout ratio, higher growth rate, and lower
required return than its peers, it may be justified in having a higher PIE ratio.
Price multiples are widely used by analysts, are easily calculated and readily available,
and can be used in time series and cross-sectional comparisons.
©20 15 Kaplan, Inc.
Page 317
Study Session 14
Cross-Reference to CFA Institute Assigned Reading #51 - Equity Valuation: Concepts and Basic Tools
LOS 51.h
The price-earnings (PIE) ratio is a firm's stock price divided by earnings per share.
SPIFECB
The price-sales (PIS) ratio is a firm's stock price divided by sales per share.
The price-book value (P/B) ratio is a firm's stock price divided by book value per share.
The price-cash flow (P/CF) ratio is a firm's stock price divided by cash flow per share.
Cash flow may be defined as operating cash flow or free cash flow.
LOS 51.i
Enterprise value (EV) measures total company value:
EV
==
market value of common and preferred stock + market value of debt - cash
and short-term investments
EBITDA is frequently used as the denominator in EV multiples because EV represents
total company value, and EBITDA represents earnings available to all investors.
LOS 51.j
Asset-based models value equity as the market or fair value of assets minus liabilities.
These models are most appropriate when a firm's assets are largely tangible and have fair
values that can be established easily.
LOS 51.k
Advantages of discounted cash flow models:
•
Easy to calculate.
•
Widely accepted in the analyst community.
•
FCFE model is useful for firms that currently do not pay a dividend.
•
Gordon growth model is useful for stable, mature, noncyclical firms.
•
Multistage models can be used for firms with nonconstant growth.
Disadvantages of discounted cash flow models:
•
Inputs must be forecast.
•
Estimates are very sensitive to inputs.
•
For the Gordon growth model specifically:
•
Very sensitive to the k - g denominator.
•
Required return on equity must be greater than the growth rate.
•
Required return on equity and growth rate must remain constant.
•
Firm must pay dividends.
Page 318
©2015 Kaplan, Inc.
Cross-Reference
Study Session 14
to CFA Institute Assigned Reading #51 - Equity Valuation: Concepts and Basic Tools
Advantages of price multiples:
•
Often useful for predicting stock returns.
•
Widely used by analysts.
•
Easily calculated and readily available.
•
Can be used in time series and cross-sectional comparisons.
•
EV/EBITDA multiples are useful when comparing firm valuesindependent of
capital structure or when earnings are negative and the PIE ratio cannot be used.
SPIE
Disadvantages of price multiples:
•
PIE ratio based on fundamentals will be very sensitive to the inputs.
•
May not be comparable across firms, especially internationally.
•
Multiples for cyclical firms may be greatly affected by economic conditions. PIE
ratio may be especially inappropriate. (The PIS multiple may be more appropriate
for cyclical firms.)
•
A stock may appear overvalued by the comparable method but undervalued by the
fundamental method or vice versa.
•
Negative denominator results in a meaningless ratio; the PIE ratio is especially
susceptible to this problem.
•
A potential problem with EV/EBITDA multiples is that the market value of a firm's
debt is often not available.
Advantages of asset-based models:
•
Can provide floor values.
•
Most reliable when the firm has mostly tangible short-term assets, assets with a ready
market value, or when the firm is being liquidated.
•
May be increasingly useful for valuing public firms if theyreport fair values.
Disadvantages of asset-based models:
•
Market values of assets can be difficult to obtain and are usually different than book
values.
•
Inaccurate when a firm has a large amount of intangible assets or future cash flows
not reflected in asset value.
•
Asset values can be difficult to value during periods of hyperinflation.
©20 15 Kaplan, Inc.
Page 319
Study Session 14
Cross-Reference to CFA Institute Assigned Reading #51 - Equity Valuation: Concepts and Basic Tools
1.
nkgcA
An analyst estimates a value of $45 for a stock with a market price of $50. The
analyst is most likely to conclude that a stock is overvalued if:
A. few analysts follow the stock and the analyst has less confidence in his model
•
Inputs.
B. few analysts follow the stock and the analyst is confident in his model
•
Inputs.
C. many analysts follow the stock and the analyst is confident in his model
•
Inputs.
ytsomlkie
Page 320
2.
An analyst estimates that a stock will pay a $2 dividend next year and that it will
sell for $40 at year-end. If the required rate of return is 150/0,what is the value
of the stock?
A. $33.54.
B. $36.52.
c. $43.95.
3.
What would an investor be willing to pay for a share of preferred stock that pays
an annual $7 dividend if the required return is 7.750/0?
A. $77.50.
B. $87.50.
C. $90.32.
4.
The constant growth model requires which of the following?
A. g < k.
B. g> k.
c. g -:;e k.
5.
What is the intrinsic value of a company's stock if dividends are expected to
grow at 50/0,the most recent dividend was $1, and investors' required rate of
return for this stock is 100/0?
A. $20.00.
B. $21.00.
C. $22.05.
6.
Next year's dividend is expected to be $2, g = 70/0,and k = 120/0.What is the
stock's intrinsic value?
A. $28.57.
B. $40.00.
C. $42.80.
7.
The XX Company paid a $1 dividend in the most recent period. The company
is expecting dividends to grow at a 60/0rate into the future. What is the value of
this stock if an investor requires a 15% rate of return on stocks of this risk class?
A. $10.60.
B. $11.11.
C. $11.78.
©2015 Kaplan, Inc.
Cross-Reference
8.
Study Session 14
to CFA Institute Assigned Reading #51 - Equity Valuation: Concepts and Basic Tools
Assume that a stock is expected to pay dividends at the end of Year 1 and Year
2 of $1.25 and $1.56, respectively. Dividends are expected to grow at a 50/0rate
thereafter. Assuming that ke is 110/0,the value of the stock is closest to:
A. $22.30.
B. $23.42.
c. $24.55.
ytsrpomlkieca
c
9.
An analyst feels that Brown Company's earnings and dividends will grow at
25% for two years, after which growth will fall to a constant rate of 60/0.If the
projected discount rate is 100/0,and Brown's most recently paid dividend was $1,
the value of Brown's stock using the multistage dividend discount model is closest to:
A. $31.25.
B. $33.54.
c. $36.65.
10.
A firm has an expected dividend payout ratio of 60% and an expected future
growth rate of 70/0.What should the firm's fundamental price-to-earnings (PIE)
ratio be if the required rate of return on stocks of this type is 150/0?
A. 5.0x.
B. 7.5x.
C. 10.0x.
PIE
11.
Which of the following firms would most likely be appropriately valued using the
constant growth DDM?
A. An auto manufacturer.
B. A producer of bread and snack foods.
C. A biotechnology firm in existence for two years.
12.
Which of the following is least likely a rationale for using price multiples?
A. Price multiples are easily calculated.
B. The fundamental PIE ratio is insensitive to its inputs.
C. The use of forward values in the divisor provides an incorporation of the
future.
13.
Which of the following firms would most appropriately be valued using an assetbased model?
A. An energy exploration firm in financial distress that owns drilling rights for
offshore areas.
B. A paper firm located in a country that is experiencing high inflation.
C. A software firm that invests heavily in research and development and
frequently introduces new products.
©20 15 Kaplan, Inc.
Page 321
Study Session 14
Cross-Reference to CFA Institute Assigned Reading #51 - Equity Valuation: Concepts and Basic Tools
1.
B
If the analyst is more confident of his input values, he is more likely to conclude that
the security is overvalued. The market price is more likely to be correct for a security
followed by many analysts and less likely correct when few analysts follow the security.
2.
B
($40 + $2) / 1.15 = $36.52
3.
C
The share value is 7.0 / 0.0775 = $90.32.
4.
A
For the constant growth model, the constant growth rate (g) must be less than the
required rate of return (k).
5.
B
Using the constant growth model, $1(1.05) / (0.10 - 0.05) = $21.00.
6.
B
Using the constant growth model, $2 / (0.12 - 0.07) = $40.00.
7.
C
Using the constant growth model, $1 (1.06) / (0.15 - 0.06) =B$11.7B.
B.nCA C
9.
Page 322
C
($1.25/1.11)+[1.56/(0.11-0.05)]/1.11=$24.55.
$1(1.25) / 1.1
+
[$1(1.25)2/ (0.10 - 0.06)] / 1.1 = $36.65.
10. B
Using the earnings multiplier model, 0.6/ (0.15 - 0.07) = 7.5x.
11. B
The constant growth DDM assumes that the dividend growth rate is constant. The most
likely choice here is the bread and snack producer. Auto manufacturers are more likely
to be cyclical than to experience constant growth. A biotechnology firm in existence for
two years is unlikely to pay a dividend, and if it does, dividend growth is unlikely to be
constant.
12. B
The fundamental PIE ratio is sensitive to its inputs. It uses the DDM as its framework,
and the denominator k - g in both has a large impact on the calculated PIE or stock
value.
13. A
The energy exploration firm would be most appropriately valued using an asset-based
model. Its near-term cash flows are likely negative, so a forward-looking model is
of limited use. Furthermore, it has valuable assets in the form of drilling rights that
likely have a readily determined market value. The paper firm would likely not be
appropriately valued using an asset-based model because high inflation makes the
values of a firm's assets more difficult to estimate. An asset-based model would not
be appropriate to value the software firm because the firm's value largely consists of
internally developed intangible assets.
©2015 Kaplan, Inc.
12 questions: 18 minutes
1.
ncA
An investor purchased 550 shares of Akley common stock for $38,500 in a
margin account and posted initial margin of 500/0.The maintenance margin
requirement is 35%. The price of Akley, below which the investor would get a
margin call, is closest to:
A. $45.00.
B. $54.00.
c. $59.50.
ytsrpomlkiecba
2.
Adams owns 100 shares of Brikley stock, which is trading at $86 per share, and
Brown is short 200 shares of Brikley. Adams wants to buy 100 more shares if the
price rises to $90, and Brown wants to cover his short position and take profits if
the price falls to $75. The orders Adams and Brown should enter to accomplish
their stated objectives are:
Adams
Brown
A. Limit buy @ 90 Limit buy @ 75
B. Limit buy @ 90 Stop buy @ 75
c. Stop buy @ 90 Limit buy @ 75
3.
Which of the factors that determine the intensity of industry competition is most
likely to be affected by the presence of significant economies of scale?
A. Threat of entry.
B. Threat of substitutes.
c. Power of suppliers.
4.
Price-to-book value ratios are most appropriate for measuring the relative value of
a:
A. bank.
B. manufacturing company.
c. mature technology company.
5.
An index of three non-dividend paying stocks is weighted by their book values
of equity. After one year, the stock with the largest weight is down 150/0,the
next-largest is down 100/0,and the smallest is down 5%. The total return of this
index for the year is:
A. less than the price return of the index.
B. equal to the price return of the index.
c. greater than the price return of the index.
6.
Financial intermediaries that buy securities from and sell securities to investors
are best described as:
A. dealers.
B. brokers.
c. investment bankers.
©20 15 Kaplan, Inc.
a
Page 323
Self-Test: Equity Investments
7.
Among the types of assets that trade in organized markets, asset-backed
securities are best characterized as:
A. real assets.
ytsomlkiecba
B
B.
•
•
•
equity secunties.
C. pooled investment vehicles.
8.
Which of the following market indexes is likely to be reconstituted most
frequently? An index that is designed to measure:
A. real estate returns.
B. growth stock prices.
C. commercial paper yields.
nA
9.
Rogers Partners values stocks using a dividend discount model and the CAPM.
Holding all other factors constant, which of the following is least likely to
increase the estimated value of a stock?
A. An increase in the next period's expected dividend.
B. A decrease in the stock's systematic risk.
C. A decrease in the expected growth rate of dividends.
10.
Brandy Clark, CFA, has forecast that Aceler, Inc., will pay its first dividend two
years from now in the amount of $1.25. For the following year she forecasts a
dividend of $2.00 and expects dividends to increase at an average rate of 70/0
for the foreseeable future after that. If the risk-free rate is 4.50/0, the market risk
premium is 7.50/0, and Aceler's beta is 0.9, Clark would estimate the current
value of Aceler shares as being closest to:
A. $37.
B. $39.
C. $47.
Page 324
11.
An arbitrageur buys a security on a European exchange, where it is quoted in
euros, and simultaneously sells the same security on a U.S. exchange, where it is
quoted in dollars. The security is most likely a:
A. global registered share.
B. global depository receipt.
C. sponsored depository receipt.
12.
Under what financial market conditions can active portfolio management
outperform a passive index tracking strategy consistently over time? Active
management:
A. cannot outperform a passive strategy if markets are weak-form efficient.
B. can outperform a passive strategy if markets are weak-form efficient but not
semistrong-form efficient.
C. can outperform a passive strategy if markets are semistrong-form efficient
but not strong-form efficient.
©2015 Kaplan, Inc.
Self-Test: Equity Investments
1.
B
The price below which the investor would receive a margin call is:
38,500
1-0.5
550
1- 0.35
= $53.85
2.
C
Adams should enter a stop buy at 90, which will be executed only if the stock price rises
to 90. Brown should enter a buy order with a limit at 75 because he wants to buy stock
to close out his short position if he can purchase it at 75 (or less).
3.
A
Economies of scale represent a barrier to entry into an industry. Existing competitors
are likely to be operating on a large scale that new entrants would find difficult and
expensive to develop, reducing the threat of entry.
4.
A
Price-to-book value is an appropriate measure of relative value for firms that hold
primarily liquid assets, such as banks. Manufacturing companies typically have a large
proportion of fixed assets for which the book value (historical cost less depreciation) may
be less relevant as a measure of their economic value. A mature technology company
likely has valuable intangible assets, such as patents and human capital, that may not be
reflected fully (or at all) on the balance sheet.
5.
B
Because the stocks in the index do not pay dividends, there is no difference between the
price return and the total return, regardless of the weighting system used or the direction
of price movement.
6.
A
Dealers maintain inventories of securities and buy them from and sell them to investors.
Brokers do not trade directly with clients but find buyers for and sellers of securities to
execute customer orders. Investment banks are primarily involved in assisting with the
issuance of new securities.
7.
C
Asset-backed securities represent claims to a portion of a financial asset pool.
8.
C
An index of commercial paper yields needs to be reconstituted frequently because its
constituent securities need to be replaced when they mature and commercial paper
matures in 270 days or less. Indexes of growth stocks and real estate are likely to be
reviewed periodically to confirm that their constituent assets still meet the qualifications
to be included in the index.
9.
C
Other things equal, a decrease in the expected growth rate of dividendsg (g) will decrease
the value of a stock estimated with the dividend discount model. Using the CAPM, a
decrease in the stock's systematic risk would decrease the required return on equity and
increase the present value of the future dividends.
10. B
The required rate of return on Aceler shares is 4.5 + 0.9(7.5)
=
11.250/0.
The dividend at t = 3, $2.00, is expected to grow at 7% for the foreseeable future so the
DDM value of Aceler shares at t = 2 is 2 / (0.1125 - 0.07) = 47.06.
The t
=
0 value of the shares is (47.06 + 1.25) / 1.11252
©20 15 Kaplan, Inc.
=
$39.03.
Page 325
Self-Test: Equity Investments
Page 326
11. A
Global registered shares are identical shares of the same issuer that trade on multiple
global exchanges in the local currencies.
12. B
One of the implications of market efficiency is that if markets are semistrong-form
efficient, active portfolio management cannot consistently achieve abnormal riskadjusted returns.
©20 15 Kaplan, Inc.
FORMULAS
yxwvutsrqponmlkjihgfedcbaYVUTSRQPONMKJIFEDCA
CF1
IRR: 0 = CFo + (1 + IRR)l
pokED
CF2
+ (1 + IRR)2
. d full
'1
pay b ack perlO =
years unti recovery
CFn
~
CFt
+...+ (1 + IRR)n = ~ (1 + IRR)t
unrecovered cost at the beginning of the last year
+ -------------='-----_____:=-----------''---cash flow during the last year
PI = PV of future cash flows = 1 + NPV
CFo
CFo
after-tax cost of debt = kd (1 - t)
cost of preferred stock
=
kps = D ps / P
cost of common equity:
D
kce = p. 1 + g
o
kce = bond yield + risk premium
unlevered asset beta:
project beta:
1
D
~ASSET= ~EQUITY
+
~PROJECT= ~ASSET 1
1+ (l-t)-
D
(1- t)E
E
cost of common equity with a country risk premium:
kce = Rp
+ ~[E(RMKT
) - Rp
+ country
risk premium]
©20 15 Kaplan, Inc.
Page 327
Book 4 - Corporate Finance, Portfolio Management, and Equity Investments
Formulas
ak ooi
amount of capital at which the component's cost of capital changes
b re pOint =
weight of the component in the capital structure
XQOLFD
Q(P-V)
degree of operating leverage = (
)
Q P-V -F
.
EBIT
degree of financial leverage = ---EBIT-I
degree of total leverage = DOL
.
b re ak even quantity
X
%~EBIT
%~sales
%~EPS
%~EBIT
%~EPS
D FL = --%~sales
f al
fIXedoperating costs + fIXedfinancing costs
0 s es =
price - variable cost per unit
.
.
fixed operating costs
operating breakeven quantity of sales =..
.
price - variable cost per unit
•
current assets
current ratio = ------current liabilities
. k
.
cash + short-term marketable securities + receivables
qUlc ratio = -------------------current liabilities
credit sales
receivables turnover = ------average receivables
number of days of receivables =
average receivables
365
receivables turnover
average day's credit sales
.
costof~o~sold
Inventory turnover = -------'=-.---average Inventory
•
average Inventory
365
number of days of inventory = -.------Inventory turnover
average day's COGS
.
purchases
payables turnover ratio = ------"-------average trade payables
number of days of payables =
365
.
payables turnover ratio
average payables
average day's purchases
operating cycle = average days of inventory + average days of receivables
Page 328
©2015 Kaplan, Inc.
Book 4 - Corporate Finance, Portfolio Management, and Equity Investments
Formulas
.
average days + average days
cash conversion cycle = f
. bl
o recerva es
of inventory
average days
of payables
tnT
0/0
discount
==
face value - price
face value
discount-basis yield
==
360
face value - price
==
face value
days
C
360
face value - price
365
prIce
days to maturity
.
= holding period yield X
days
= holding period yield X
days
bond equivalent yield =
% discount x
360
360
days
365
days
365
cost of trade credit
==
where:
days past discount
ldi
1+
==
% discount
days past discount -1
1- % discount
number of days after the end of the discount period
. d
end-of-period value
Pt + Div t
Pt - Po + Div t
- 1=
-1 = --=--....::...._---=h o Ing perlO return =
beginning-of-period value
Po
Po
..
(R1 +R2 +R3 + ... +Rn)
arithmetic mean return = -.:;__-..:::...._---=-----~
n
geometric mean return = ~(1 + R1)x
(1+
R2)X (1 + R3) x ... x (1 + Rn)-l
T
L:(Rt-~)2
population variance from historical data: 0"2= ~t---,l,--T
T
_
2
L:(Rt -R)
sample variance from historical data: s2 = ~t---,l=---- _
T-1
n
L: {[Rt,l -R1][Rt,2
sample covariance from historical data:
correlation: Pl,2 =
-R2]}
t=l
CoVl,2 = ..::.__:..__--------n-1
Cov12
'
0"1X0"2
©20 15 Kaplan, Inc.
Page 329
Book 4 - Corporate Finance, Portfolio Management, and Equity Investments
Formulas
standard deviation for a two-asset portfolio:
eq uation of the CML:
E(R p ) = Rf
+
E(Rp) = Rf
+ (E(RM)
xpigfDA
E(R M) - Rf
O"M
O"p
- Rf)
O"p
O"M
total risk = systematic risk + unsystematic risk
A
_
I-'i -
COVi,mkt _
2
O"mkt
-
Pi,mkt
O"i
O"mkt
capital asset pricing model (CAPM):
margin call price = Po
.
. h di d
price-weig te In ex =
E(Ri)
=
RFR + f3i[E(Rmkt)
-
RFR]
1- initial margin
1- maintenance margin
sum of stock prices
number of stocks in index adjusted for splits
L[(price today )(number
L
of shares outstanding)]
market cap-weighted index = -::----'-----------------~
L[(pricebase year) (number of shares outstanding)]
x base year index value
preferred stock valuation model: Po =
D
p
kp
one-period stock valuation model: Po =
Dl
_...!:..__
+
1 + ke
infinite period model: Po
Page 330
Dl
= -~
ke - g
Do x(l+g)
ke - g
©2015 Kaplan, Inc.
Book 4 - Corporate Finance, Portfolio Management, and Equity Investments
Formulas
where:
Pn = Dn+1 ,and Dn+1 is a dividend that will grow
ke -gc
at the constant rate of gc forever
ROE
D1
earnings multiplier:
Po _ E1
E1
k-g
expected growth rate: g = (retention rate) (ROE)
'1' PIE
trating
=
market price per share
EPS over previous 12 months
di PIE
1ea Ing
=
market price per share
forecast EPS over next 12 months
lePIFEB
.
market value of equity
market price per share
= -----==-------==-----PIB rano =
book value of equity
book value per share
where:
book value of equity = common shareholders' equity
= (total assets - total liabilities) - preferred stock
.
market value of equity
market price per share
= -----==--------==-----PIS rano =
SI
total sales
.
PleF ratio =
market value of equity
cash flow
sales per share
market price per share
= ------==-----==------
cash flow per share
enterprise value = market value of common and preferred stock
+ market value of debt
- cash and short-term investments
©20 15 Kaplan, Inc.
Page 331
INDEX
BA
AzyxwvutsrqponmlkjihgfedcbaTSRPMLKIDCBA
ability to bear risk 188
abnormal profit 251
accelerated book build 216
accounting return on equity 267
accounting risk 129
accounts payable management 86
acid-test ratio 79
active invesrment strategy 248
activelymanaged funds 118
active portfolio management 165
adverseselection 208
after-tax cost of debt 28
after-tax nominal return 140
aging schedule 84
allocational efficiency 220
ali-or-nothing orders 214
alternative markets 202
alternative trading systems (ATS) 206
American depository receipts (ADRs) 265
American depository share (ADS) 265
arbitrage 208, 250
arithmetic mean return 137
ask price 212
ask size 213
asset-backedsecurities 204
asset-based models 295,312
audit committee 97
averagedays' sales outstanding 80
averageinventory processing period 80
B
bank 115
bank discount yield 83
banker's acceptances 88
basket of listed depository receipts (BLDR) 265
behavioral finance 255
best efforts 216
beta 129, 172
bias 119
bid-ask spread 213
bid price 212
bid size 213
blanket lien 88
block brokers 206
board elections 95
bond equivalent yield 83
bond mutual funds 118
book runner 216
Page 332
book value of equity 266
breakeven quantity of sales 55
break points 35
broker-dealers 207
brokered markets 219
brokers 206
business risk 49
buyout funds 119
c
calendar anomalies 253
callable common shares 261
call markets 217
call money rate 210
call option 205
cannibalization 3
capital allocation line (CAL) 151, 161
capital asset pricing model (CAPM) 30, 171
capital budgeting 1
capital components 24
capital market line (CML) 163
capital markets 202
capital rationing 4
cash conversion cycle 81
cash dividends 64
liquidating 64
regular 64
special 64
cash management investment policy 83
characteristic line 170
classesof common equity 102
classifiedboard 95
clearinghouses 209
closed-end funds 118, 254
commercial paper 88
commodities 205
commodity indexes 239
common shares 261
common stock 203
company analysis 286
competitive strategy 286
complete markets 219
component cost of capital 24
confidential voting 100
conflicting project rankings 14
constant growth model 300
constituent securities 229
continuous markets 218
contracts 204
contribution margin 55
©20 15 Kaplan, Inc.
Book 4 - Corporate Finance, Portfolio Management, and Equity Investments
Index
conventional cash flow pattern 3
convertible bond arbitrage funds 119
convertible preference shares 262
core-satellite approach 192
corporate governance 94
correlation 143
cost leadership (low-cost) strategy 286
cost of debt capital 28, 29
cost of equity capital 30, 268
cost of preferred stock 29
counterparty risk 209
countty risk premium 34
covariance 142
credit default swaps 205
credit risk 128
crossover rate 12
cumulative preference shares 262
cumulative voting 101,261
currencies 204
current ratio 79
custodians 209
cyclical firm 277FD
D
daily cash position 81
data mining 252
dayorders 214
dealer markets 218
debt securities 202
declaration date 67
decline stage 284
defensive industries 278
defined benefit pension plan 116
defined contribution pension plan 116
degree of financial leverage (DFL) 52
degree of operating leverage (DOL) 50
degree of total leverage (DTL) 53
delta 130
depository bank 264
depository institutions 207
depository receipts (DRs) 264
derivative contracts 202
derivatives risks 130
direct investing 264
disadvan tages of the lRR method 14
discount-basis yield 83
discounted cash flow models 295
discounted payback method 9
diversifiable risk 165
diversification 131
diversification ratio 114
dividend discount modelMD
(DDM) 296
dividend displacement of earnings 308
dividend reinvestment plan 217
downside risk 130
duration 130
E
earnings surprise 254
economic profits 279
effect of a share repurchase on book value per
share 71
efficient frontier 148
efficient market hypothesis (EMH) 250
electronic communication networks (ECNs)
206
embryonic stage 283
endowment 115
enterprise value 295, 311
equal-weighted index 231
equilibrium interest rate 201
equity market-neutral funds 119
equity securities 202, 203
event-driven funds 119
event study 251
exchanges 206
exchange-traded funds (ETFs) 118, 204
exchange-traded notes (E'fNs) 204
ex-dividend date 67
execution step 117
expansion projects 2
experience curve 279
externalities 3
F
factoring 88
factor loading 167
factor sensitivity 167
feedback step 117
fidelity bonds 132
fill-or-kill order 214
finance companies 88
financial assets 202
financial derivative contracts 202
financial intermediaries 206
financial leverage 210
financial risk 49
financial risks 128
firm-specific risk 165
fixed-income arbitrage funds 119
fixed income securities 203
float-adjusted market capitalization-weighted
index 232
flotation costs 37
forward contract 204
foundation 115
free cash flow to equity (FCFE) 297
free float 231
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Book 4 - Corporate Finance, Portfolio Management, and Equity Investments
Index
fundamental analysis 251
fundamental value 249,294
fundamental weighting 232
futures contract 204MLIHG
investment banks 206
investment companies 116
investment constraints 188
investment opportunity schedule 27
investment policy statement (IPS) 117, 186
investor overconfidence 255
G
gamma 130
geometnc mean return 138
global depository receipts (GDRs) 264
global macro funds 119
global minimum-vatiance portfolio 148
global registered shares (GRS) 265
good-on-close orders 214
good-on-open orders 214
good-till-cancelled orders 214
Gordon growth model 300
governmental risk 128
gross return 139
growth industries 278
growth stage 283
growth stocks 253
H
hedge fund indexes 239
hedge funds 119,204
herding 255
historical data 142
holder-of-record date 67
holding period return (HPR) 137
I
immediate-or-cancelorders 214
incremental cash flows 2
independent projects 4
index funds 118
indications of interest 216
indifference curve 149
individual investors 115
industry life cycle 283
industry rotation 274
informational efficiency 219
informationally efficient capital market 248
information cascade 255
initial margin requirement 210
initial public offerings (1POs) 216,254
institutions 115
insurance companies 115, 208
insurance contract 205
internal rate of return (IRR) 6
disadvantages 14
IRR decision rule 7
intrinsic value 249,294
inventory management 85
inventory turnover 80
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J
January effect 253
Jensen's alpha 179
justifiedPIE
PIE 307
L
legal and regulatory constraints 189
legal risk 129
leverage 49
leveraged buyout (LBO) 263
leveraged position 210
leveraged return 140
leverageratio 211
life-cyclestage 279
lines of credit 88
liquidity 189
liquidity ratios 79
liquidity risk 128
load funds 118
longevity risk 129
long position 209
long/short funds 119
loss aversion 255
M
maintenance margin requirement 212
mandatory projects 2
marginal cost of capital (MCC) 24, 35
marginal cost of capital schedule 27, 35
margin call 212
margin loan 210
market anomaly 252
market capitalization-weighted index 231
market float 231
market model 168
market multiple models 295
market-on-close orders 214
market portfolio 162
market risk 128, 165
market risk premium 163
market-to-book ratio 268
market value 249
market value of equity 267
market value-weighted index 234
matrix pricing 29
mature stage 284
minimum-variance frontier 148
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Book 4 - Corporate Finance, Portfolio Management, and Equity Investments
Index
minimum-variance portfolio 148
model risk 129
momentum effects 253
money market funds 118
money markets 202
money market yield 83
money-weighted rate of return 138
moral hazard 208
mortality risk 129
M-squared 178
mulrifactor models 167
multilateral trading facilities (MTFs) 206
"multiple lRR" and "no IRR" problems 15
multiplier models 295
mutual funds 116, 117, 204
mutually exclusive projectspN4
N
net asset value (NAY) 118, 254
net borrowing 298
net operating cycle 81
net present value (NPV) 4
NPY and stock price 16
NPY profile 12
net return 139
no-load funds 118
nominations committee 98
non-cumulative preference shares 262
non-cyclical firm 278
nondiversifiable risk 165
non-financial risks 128
non-participating preference shares 262
number of days of payables 81
number of days of receivables 80
o
offer price 212
open-end fund 118
operating breakeven quantity of sales 57
operating cycle 81
operating risk 49
operational efficiency 219
operational risk 128
opportunity costs 3
optimal capital budget 28
option contract 205
order-driven markets 218
order matching rules 218
overreaction effect 253
over-the-counter markets 218
p
participating preference shares 262
passive investment strategy 165, 248
payables payment period 81
payables turnover ratio 81
payback period 8
paymen t date 67
paymen ts- in-lieu 210
peer group 278
personal use of company assets 99
physical derivative contracts 202
planning step 117
political risk 128
pooled investments 117, 203
portfolio perspective 114
post-trade transparent 219
predatory pricing 286
preference shares 262
preferred stock 203, 262, 299
present value models 295
pretax nominal return 140
pre-trade transparent 219
price-book value (P/B) ratio 268,306
price-cash flow (P/CF) ratio 306
price-driven markets 218
price-earnings (PIE) ratio 306
price index 229
price multiple approach 306
price multiples based on com parables 306
price multiples based on fundamentals 306
price prioriry 218
price return 229
price-sales (PIS) ratio 306
price versus market value weighting 234
price-weighted index 230, 232
primary capital markets 216
primary dealers 207
primary market 202
primary sources of liquidity 78
principal business activiry 275
private equity funds 119
private investment in public equiry (PIPE) 263
private placement 217
private securities 202
product or service differentiation strategy 286
profitability index 10, 11
project beta 32
project sequencing 4
proxy 261
public securities 202
pure-play method 32
putable common shares 261
put option 205
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Book 4 - Corporate Finance, Portfolio Management, and Equity InvestmentsxnedI
Index
Q
qualifications of board members 96
quick ratio 79
quote-driven markets 218R
R
real assets 205
real estate indexes 239
real return 140
rebalancing 236
receivablesturnover 79
reconstitution 236
regulatory risk 128
related-party transactions 99
relative risk objectives 187
remuneration! compensation committee 98
replacement projects 2
return generating models 167
return index 229
return on equity (ROE) 267
reversestock splits 67
rho 130
rights offering 217
risk-adjusted returns 251
risk-averse 144
risk aversion coefficient 150
risk budgeting 128, 192
risk governance 127
risk management 126
risk management framework 127
risk-neutral 145
risk objectives 187
risk-seeking 145
risk shifting 132
risk tolerance 127
risk transfer 132
s
sales risk 49
scenario analysis 130
seasoned offerings 216
secondary financial markets 216
secondary issues 216
secondary market 202
secondary precedence rule 218
securities 203
security charactetistic line 170
security market index 229
security market line (SML) 170
self-insurance 131
semi-strong form market efficiency 250
separately managed account 119
shakeout stage 284
Page 336
share blocking 100
shareowner legal rights 103
share repurchase 68
using borrowed funds 70
Sharpe ratio 177
shelf registration 217
short position 209
short rebate rate 210
short sale 210
short-term funding 87
single-index model 168
size effect 253
solvency risk 128
sovereign wealth funds 116
sovereign yield spread 34
sponsored depository receipt 264
spot markets 202
spreadsheet modeling 287
standard deviation 129
standing limit orders 214
statutory voting 261
stock dividends 65
stock mutual funds 118
stock splits 65
stop-buy 214
stop loss orders 214
stop orders 214
stop-sell order 214
strategic analysis 280
strategic asset allocation 190
strategic groups 279
stress testing 130
strong-form market efficiency 250
sunk costs 2
surety bond 132
sustainable growth rate 302
swap contract 205
switching costs 283
systematic risk 165
T
tactical asset allocation 192
tail risk 129,130
takeover defenses 103
target capital structure 26
tax-loss selling 253
tax risk 128
tax situation 189
technical analysis 251
tender offer 68
terminal value 296
time horizon 189
trade pricing rules 218
traditional investment markets 202
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Book 4 - Corporate Finance, Portfolio Management, and Equity Investments
Index
tranches 204
Treynor measure 179
turn-of-the-year effect 253
rwo-fund separation theorem 151wvu
u
unconventional cash flow pattern 3
underwritten offering 216
unique circumstances 189
unique risk 165
unsponsored depository receipt 264
unsystematic risk 165
unweighted index bias 235
utility function 149
w
warrants 203
weak-form market efficiency 250
weighted average collection period 84
weighted average cost of capital (WACC) 24
willingness to bear risk 188
window dressing 253
working capital 79
v
value at risk (VaR) 130
value effect 253
value stocks 253
value-weighted index 231
vega 130
venture capital 263
venture capital funds 120
©20 15 Kaplan, Inc.
Page 337
Notes
Notes