Financial Risk Management: An
Introduction
François-Serge Lhabitant
■
Olivier Tinguely
Executive Summary
This article provides a brief introduction to risk management. It discusses the rationale for risk management for corporations, with a strong focus on financial risk management. It describes the various risks that a company is facing, as well as the various
steps to identify and manage them. An illustration of the major tools and methodologies is provided for the case of market risks. © 2001 John Wiley & Sons, Inc.
INTRODUCTION
R
isk management is in fashion. One cannot open a business magazine or an academic review without reading an article on financial risk management, derivatives, or Value at Risk (VaR). Three main reasons explain this growing
interest: the prevailing economic and financial conditions over the last threedecades, advances in economic and financial theory and, finally, the availability of computing power.
The need for management of financial risk has increased in the wake of two
major economic events: the progressive opening of national economies to the
world market since World War II and the breakdown of the Bretton Woods
fixed exchange rates system in the early 1970s. Since then, companies have
been increasingly exposed to several kinds of risk and various financial crises.
François-Serge Lhabitant is Head of Quantitative Risk Management at Union Bancaire Privée
(Geneva), Professor of Risk Management at H.E.C. University of Lausanne (Switzerland) and
Assistant Professor of Finance at Thunderbird (Europe), French-Geneva Campus. Olivier Tinguely
is Professor of Economics and Finance at University Carlos III (Madrid) and Suffolk University
(Madrid). The content of this article is the personal opinion of the authors, and does not necessarily represent the views or practices of any of the firms or organizations to which they belong.
The authors may be contacted via e-mail at:
[email protected].
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Examples include the world oil price crises, periods of explosive
interest rate volatility, successive stock and bond market crashes,
currency crises, the collapse of Long-Term Capital Management,
and the financial crises in Mexico, Asia, Russia, and Brazil. These
events directly affected the return that most firms received in the
course of their businesses, most of the time negatively. As a result,
instruments and methods of protection to counter these risks have
seen a marked rise in demand, contributing to the rapid growth in
the field of financial risk management.
. . . instruments
and methods of
protection to
counter these
risks have seen
a marked rise in
demand, contributing to the
rapid growth in
the field of
financial risk
management.
At the same time, economic and financial research has grown spectacularly. In economics, the early 1970s saw a new generation of
researchers who formulated the basis for new classical economics,
which has become the dominant paradigm. Among other things,
new classical economic theory elaborates a complete formalization
of the economics of uncertainty, of the economics of information
and initiated a renewal of the macroeconomic line of research,
which has profoundly renewed the way economists work and interpret economics (see, eg., Mankiw, 1990). At the same time, paralleling the developments in the area of economic theory, finance
has progressively become a science in itself and a major area of
research since the 1970s. New tools have been developed, and
those have proven to be useful and, in certain cases, very effective
in solving important issues. Financial risk management is an example of a subject in which academic and practical research has been
particularly fruitful.
The availability of powerful computers was the final necessary
development. Financial risk management tools rely heavily on
complex mathematical models that require both large datasets and
highly demanding numerical procedures.
This article is an introduction to financial risk management. We
would like to convince the reader that financial risk management is
an essential ingredient to successfully manage a company.
Although there will be more focus on financial management, most
of the arguments can be extended to risk management in general.
In the next section, we briefly explain the notion of risk. Then we
will present the major risks companies face and describe their possible responses. After that, we attempt to justify the utility of risk management. In the following section, the concept of Enterprise Risk
Management (ERM) is described. Then, we conclude with an application of risk management to some aspects of corporate finance.
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WHAT IS RISK?
Risk is inherent in human activities. It arises from the unknown
nature of future events. Roughly speaking, risk can be defined as the
exposure to uncertainty. Accordingly, two notions have to be understood and studied: the uncertainty itself and the exposure of an individual or company to this uncertainty.
Uncertainty can be thought of as the possibility of occurrence of one
or several events. Uncertainty is usually represented by a range of
possible realizations of future events, to which a probability distribution is assigned.1 Stated differently, each possible realization of all
the possible events may occur with a given probability. To study risk,
a precise description of future events and the determination of their
probability distribution are necessary. From a practical point of view,
two issues arise from this representation of uncertainty. First, the
possible realizations of an event may be difficult to determine.
Second, the probability distribution is often not known and has to
be inferred.
The second component of risk is the exposure to uncertainty.
Different human activities are not affected in the same way by the
same uncertainty. A typical example is future weather, which is obviously not known, but affects human activities heterogeneously:
weather conditions are crucial for agriculture, while they do not
affect most other economic activities. The identification of which
uncertainty is pertinent to a given activity represents the basic ingredient of risk management.
WHICH RISKS? WHAT CAN WE DO?
It is important to realize that risk by itself is neither good nor bad.
Companies must take risks to stay in business and to gain competitive
advantage. What is important for them is to identify and handle risks
correctly. This ability can actually become a source of profit. Conversely,
an unidentified, mismanaged, misunderstood, unintended or incorrectly priced risk may adversely affect the company’s profit. Successful organizations should take risks that are necessary to achieve their goals, while
avoiding undesired risks. Accordingly, risk management is not about
seeking or avoiding risk. It is about optimizing risk exposures.
See Savage (1954) and Von Neuman-Morgenstern (1953) for the first formalization of uncertainty in economics. A survey can also be found in Drèze (1974).
1
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Which Risks Does the Company Face?
In addition to traditional business risks (production risks, supply
and demand risks, management risks, human capital risks, etc.),
most business activities face financial risks. These can be classified
into several basic categories.2
Market risk includes all potential losses due to adverse changes in some
financial market variables (such as interest rates, foreign exchange rates,
equity and commodity prices, etc.). Their impact can be direct (erosion
of own operating margins) or indirect (through the consequences of the
exposure faced by competitors, suppliers, or customers).
As we will see, the measurement of market risk benefits from the most
advanced methodology for risk measurement. Once identified, management of these risks is generally straightforward, because market risks are
by definition exchangeable on markets.
Credit risk refers to the possibility that a loss will be incurred because
some counterpart fails to make payments as due (nonpayment or
delayed payment). Most transactions involve credit risk, ranging from
nonpayment of anything from conventional loans and securities to trade
credits and receivables. Traditional credit risk management consisted of
evaluating the creditworthiness of counterparts (through the use of ratings, for example), of setting prudential risk limits to avoid excessive
concentration of debt by a single payer, and of measuring nominal exposures and monitoring them against predefined limits. The securitization
of credit has progressively transformed both the definition and the management of credit risk. Credit risk can be managed to the same degree
as market risk using credit derivatives, that is, derivatives whose underlying asset is the credit risk of a borrower. The emergence of on-line
credit trading platforms (such as Credittrade.com and creditex.com)
should further act as a catalyst in this process of improving manageability by providing liquidity and transparency.
Operational risk is the risk that human errors, system failures, or inadequate procedures or controls will result in unexpected losses.
Although operational risk has always existed, it has taken a back seat to
both market and credit risk in the past. Indeed, even finding a working
definition of operational risk is a difficult task, and this has slowed
down the possibility of managing it. Today, operational risk management is a discipline with its own management structure, methodology,
tools, and processes. It cannot really prevent losses, but it aims to minSee Esseghaier & Rahl (2000) for an exhaustive list of financial risks faced by companies.
2
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imize surprises by anticipating what could go wrong and the possible
financial impact. On the qualitative side, it focuses primarily on internal controls, “what if” scenarios and regular reviews of systems, documentation, and operational procedures. On the quantitative side, it has
started collecting data on operational losses and developing metrics and
tracking based on reliability theory, a well-established discipline in
Operational Research.
Liquidity risk can be defined as the facility with which a corporation
can convert an asset into a cash amount equal to its current market
value. The conversion typically consists in either selling the asset, or in
using it as collateral to secure a loan. Lack of liquidity can arise because
of insufficient market depth, or because of disruptions in the marketplace. Liquidity risk is particularly high in over-the-counter markets.
Because firms rely heavily on quantitative models (in particular for pricing financial instruments, hedging their positions and monitoring risks),
they are exposed to model risk. This new risk category covers several
possible failures: a model is inappropriately applied, an incorrect model
is used, or a model is simply wrong. Consequently, inadequate decisions
are made and subsequent losses appear.
Attitudes with Respect to Risk
Firms can adopt several attitudes with respect to risk.
. . . it aims to
minimize surprises by anticipating what
could go wrong
and the possible
financial impact.
Avoid risk. Risk, to state the obvious, is inherent in all business and
financial activity. It is therefore simply impossible to avoid risk in
any economic environment, where at least some of the firm’s suppliers, consumers, or competitors will face risk and will indirectly
expose it. In addition, avoiding risk is generally not optimal for
firm’s owners.
Ignore risk. Even though risk is considered a factor that significantly
affects earnings and share prices, several firms do not take any measures
against risk.3 Three types of arguments are usually made to try to justify this attitude.
1. The company does not master the necessary quantitative tools to
measure the risk exposure and it is intimidated by the complexity of derivatives.
2. Managers estimate that financial manipulations lie outside the
firm’s field of expertise and shareholders should manage the
See, for instance, Loderer and Pichler (2000), who find that most Swiss firms do not know
their foreign exchange exposure.
3
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risks by themselves. A typical assertion is “our business is to
produce goods, not to speculate on financial markets.”
3. Managers believe that hedging costs systematically exceed the
potential benefits of risk management, so that bearing risks is
more profitable than hedging them. This is often the case when
risk exposure is small. This explains why most large companies
self-insure against minor unexpected losses. The same policy is
not necessarily acceptable for smaller or less profitable companies.
Whatever the motive, ignoring risk is no longer a safe option. Due to
spectacular losses, legislators, investors, regulators, customers, and the
public are demanding greater accountability and effective controls.
CEOs, directors, and managers increasingly become personally
accountable for losses. Therefore, they need to understand the implications and risks associated with each decision they take.
Limit risk. It is common practice that higher levels of management
place limits on the amount of risk that lower levels of management can
take. However, the effectiveness of such limits is contingent upon the
ability of both upper and lower management to measure and monitor
risk exposures, i.e., in having implemented the first steps of a risk management program.
Diversify risks. Diversification—taking multiple uncorrelated risks—
provides an effective method to reduce risk at virtually no cost. Usually,
it is automatically integrated into the operations of larger firms, which
have more product lines, but is harder to achieve for smaller firms that
are more specialized.
Manage risks. Finally, risk can be managed, which does not necessarily mean eliminated. Firms can decide which risks are part of their
core activities and should be retained, and which ones should be
transferred or insured to third parties. Through financial engineering,
risks can be unbundled and reallocated in a highly calibrated manner
among people that are interested in bearing them. Nevertheless, it is
important to recall the law of the “conservation of risk”: financial
engineering does not alter the underlying risk. The risk remains present, but in someone else’s hands.
A RATIONALE FOR RISK MANAGEMENT
At its most general level, the term “risk management” denotes the decisions and actions taken independently of the operating business by an
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individual or a firm to alter the risk/return profile of its future cash
flows. Typically, an attempt to reduce risk through such actions is called
hedging, while an increase in risk exposure is called speculation.4
From the perspective of an individual, risk sharing and thus risk management increases a sense of well-being because, by nature,
humankind is risk averse. For example, the risk of a serious disease is
a major concern for most of the population. Individuals typically
share this risk through health insurance contracts. This behavior can
be viewed as risk management at the individual level.
Unfortunately, this type of explanation cannot be applied directly to
firms. The usefulness of risk management in a firm is not so clear.
Improving shareholder value5 is the primary objective of most publicly held companies. Therefore, a fundamental question needs to be
addressed, namely, does risk management add value for shareholders?
The answer is not obvious.
Early academic research gives no motivation for hedging. Nobel Prize
winners Miller and Modigliani (1958) showed that financial manipulation—such as hedging—does not influence a firm’s value in a perfect world.6 Their fundamental premise is that shareholders can hedge
risks more effectively in their own portfolio than managers at the firm
level. Shareholders can account for their respective risk aversion and
preferences, and benefit from the cost-free diversification of offsetting risk exposures between different stocks.
. . . risk management
increases a
sense of wellbeing because,
by nature,
humankind is
risk averse.
Similarly, another line of reasoning suggests that risk management
wastes resources because economies tend to follow equilibrium longterm relationships.7 In this environment, there is no risk in the long
term, and the rationale for risk management is found in short-term deviations from long-term relationships. The cost of eliminating this shortterm risk can easily offset the profit and, therefore, risk management
represents only a dead-weight cost that destroys shareholder value.
Hereafter, we will not mention the word “speculation” because of its negative connotation,
but the frontier between “hedging” and “speculation” is rather thin.
5
Shareholder value regroups all the benefits derived by shareholders from investing in a firm. It
includes dividends and captial appreciation.
6
By “perfect world,” we mean a world with no taxes, no bankruptcy costs, and where economic
agents have perfect information.
7
Examples of such relationships are the purchasing power parity, the international Fisher effect,
and the unbiased forward rate theory. The purchasing power parity states that the exchange rate
between two countries is equal to the ratio of the level of prices in the two countries. The Fisher
effect asserts that variations in the nominal interest rate are equal to the variations in the monetary growth rate. The unbiased forward rate theory affirms that today’s forward rates are unbiased predictors of future prevailing spot rates.
4
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The growing interest in risk management suggests that new factors
have to be considered. In addition to regulator influence,8 there are
two primary nonmutually exclusive influences driving the demand for
risk management: the presence of market imperfections and managerial risk aversion.
Market Imperfections
Several market imperfections move us away from the perfect world
assumptions and create opportunities for risk management activities.
Taxes. The asymmetric treatment of tax losses (positive taxes due as
earned, tax losses only realized at a later date with no allowance for
the time-value of money) combined with the presence of a convex
income tax schedule (increasing marginal corporate tax rate) motivate
a firm to smooth earnings to lower its average tax bill.
Transaction costs. Firms generally face lower transaction costs than
individual investors in securities markets because of the size of the
trades they undertake. As a result, hedging is less costly at the firm
level. In this case, shareholders are delegating risk management operations to firms to reduce transaction costs.
Financial distress costs. Large losses can trigger financial distress.
Such a situation usually generates costs for the company in a direct
way (legal costs, accounting, auditing, etc.) and in an indirect way
(diversion of management time, actions of suppliers, customers, and
employees, who may be concerned about the financial status of a
company and its future capacity to honor its engagements).
Reducing earnings volatility lowers the probability of financial distress and thus its cost.
Asymmetric information. When two agents decide to enter into
a transaction, the information they possess about this transaction
determines the structure and the gain of the exchange. In an
extreme case, an important information asymmetry may prevent
the transaction from taking place (see Akerlof, 1970). Financial
markets are adversely affected by asymmetric information. In the
credit market, for example, the lender has less information than the
borrower on the latter’s future cash flows. These determine the
solvency of the debt contract. Consequently, lenders face difficulFor instance, the German Corporate Act (Akitengesetz, section 91.2), as amended in March
1998, requires the Board of Directors of German public corporations to set up an adequate risk
management system. In this context, one can wonder what is the reason for such an act.
Indeed, legislation has an aim!
8
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Financial Risk Management
ties in discriminating “good” from “bad” borrowers, resulting in a
higher interest rate or in some credit constraints. In the context of
risk management, asymmetric information may be a pertinent issue
in the following contexts:
• Financing costs. As argued above, firms need to show the
intention to repay their debts to obtain attractive credit conditions. Financial risk management helps to achieve this goal, by
avoiding unexpected cash flow shortfalls, by reducing the need
for costly urgent external financing, by stabilizing cash flows
and lowering stock volatility, and therefore the cost of equity.
• Creation of new business opportunities. Firms with smooth cash
flows can invest when necessary. This represents an important
competitive advantage over their competitors.
• Insider-outsider information sets. Individual risk management is
less efficient than corporate risk management because a precise
identification of the risks faced by a company usually requires
more information and knowledge than the average stockholder may possess. Thus, mandating a risk manager for this job is
a rational decision by shareholders.
Managerial Risk Aversion
Empirical evidence suggests the existence of a relationship between
risk management and managerial risk aversion.9 Some stakeholders,
such as employees and managers, may engage in hedging strategies
because they have disproportionately large investments in a firm.
These investments are often nonvisible, in the form of human capital
and business specific skills, and poorly diversified. In this case, hedging becomes a natural form of job protection.
. . . lenders
face difficulties
in discriminating “good”
from “bad”
borrowers,
resulting in a
higher interest
rate or in
some credit
constraints.
Along the same lines, managers may decide to hedge or speculate
because of specific incentive issues. For instance, performance bonuses can encourage taking larger risks toward the end of bad years
(“double-or-quit”), as well as lowering risk exposure tolerance
toward the end of good years (“freeze and wait”). This suggests that
risk management performance benchmarks need to be carefully
aligned with shareholder objectives to avoid perverse behaviors.
Last, but not least, a pragmatic approach would be to assert that
firms increasingly manage their risks because they consider this
activity profitable.
See, for example, Tufano (1996), who analyzes risk management strategies in the U.S. gold
mining industry and observes that the main determinants of hedging discussions are the level
of management ownership and the nature of management compensation contracts.
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In conclusion, the true motive for risk management is difficult to
determine. Does risk management increase managers’ utility or the
value of the firm? Although these two objectives conflict most of the
time, their respective theories (managerial risk aversion and the presence of market imperfections) accounting for the growth of risk management are not mutually exclusive. That is to say, both theories
could be independently contributing to growth in this area.
ENTERPRISE RISK MANAGEMENT (ERM): A GLOBAL VIEW
A firm represents a complex network of activities that are generally
managed by functional and operational areas. Historically, many
organizations adopted a decentralized approach to risk management,
encouraging each department or business unit to dutifully manage its
risks. Consequently, risk managers focused on segregated risks without a clear picture of their combined impact.
Over the last few years, firms have begun to consider the sum of individual risks as a combination of risks that are interrelated. For example, market risk certainly influences default probabilities and recovery
potentials. Operational risk is created by the same activities that create market and credit risk. The progressive recognition that risks
influence one another, and that they jointly affect the performance of
a company has promoted the management of risk at a global level
instead of at the level of separate entities.
This concept, usually referred to as Enterprise Risk Management
(ERM), provides two important immediate tangible benefits. It allows
for better identification, understanding, and control of all existing
risks simultaneously. Moreover, it improves the efficiency of hedging:
offsetting positions significantly reduce transaction costs and lead to
improvements in procedures or systems that may reduce operational
risk. Through a comprehensive risk management framework, ERM
helps companies to develop broader risk management practices and it
improves the quality of business decision making at all levels.
The ERM process can be decomposed down into three phases. It
begins with an enterprise risk diagnostic, devoted to identifying,
understanding and prioritizing the critical risks that affect enterprise
value. It continues with the quantification of these risks, both individually and jointly, so that correlations among risks can be understood. It concludes with the adoption of organizational and
financial strategies to control and manage risk at a firm wide level.
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ERM should not be a static process but rather a dynamic and ongoing one. It is as much about identifying opportunities as it is about
avoiding losses. It should raise risk awareness, and enable the company to address new risk exposures.
A pioneer in ERM was Microsoft, whose financial systems barely kept
up with high-growth revenues, yielding numerous inefficiencies and
delays. As an illustration, the company had more than 30 separate
general ledgers around the world, with inconsistent data definitions,
and no fast access to financial reports (two weeks were necessary to
close the books). Former CFOs Michael Brown and Greg Maffei
started building a coherent, worldwide replacement for the company’s disconnected systems and created the Microsoft Risk
Management Group in 1997. Today, this group watches no fewer
than 144 separate risks, from market share and price wars to industrial espionage. An intranet-based risk-evaluation system called
RISKS (Risk Information System for Knowledge Sharing) provides
managers with near-real time financial information. Although it is not
considered to be a profit generator, the systematic foreign-exchange
hedging program for net revenues and short-term foreign receivables
has delivered about $100 million in insurance payouts, net of hedging costs. Last, but not least, the company’s portfolio ($26 billion in
the form of fixed-income, equity, and foreign-exchange holdings) is
now managed centrally. Although it was easy in the Microsoft case to
leverage internal resources and technology, the major problem in
implementing ERM systems is that it is extremely difficult to gather
all the required data across the institution, at the same time and in
the correct format.
. . . the major
problem in
implementing
ERM systems
is that it is
extremely difficult to gather
all the required
data across the
institution, at
the same time
and in the correct format.
AN ILLUSTRATION OF FINANCIAL RISK MANAGEMENT:
MARKET RISK
We will now provide an illustration of a market-risk management process. For the purposes of our analysis, we will take the case of a U.S. firm
(U.S. dollar based, U.S.D.) manufacturing goods in the United
Kingdom (costs in British pounds, GBP) and selling them mostly in
France (revenues in Euros, EUR). All investments are financed through
U.S.D. debt. We will also assume that managers seek to maximize shareholder’s value, measured as quoted stock price increase in U.S.D.
Identifying Market-Risk Factors
The first step consists of identifying the market risk factors that significantly affect the firm. Regressing the firm’s past revenues,
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expenses, or stock returns against various financial variables like market index returns, interest rates, commodity prices, etc., will often
provide valuable information. In our case, let us say that we obtain
the following results:
R (Firm)= 0.2 + 1.3 R(S&P500) + 1.5S(EUR) - 1.9S(GBP)
(
where R(Firm) denotes the return on the firm’s shares, R(S&P500) is
the return on the Standard and Poor’s 500 index, and S(EUR) and
S(GBP) are the Euro and British Pound exchange rates against the dollar. The interpretation of the above regression is that a 1% appreciation
of the dollar versus the Euro leads to a 1.5% increase in the firm’s value,
keeping all other market variables constant. Similar conclusions can be
reached for the other market variables. By looking at statistical coefficients such as t-stats and R-square (not shown here), one can also test
the statistical significance of these exposures and the quality of the
model. This provides managers with a simple, but powerful model for
estimating exposures.
However, regression analysis has caveats. Estimated coefficients are historical, and may not hold in the future. The linear specification may be
incorrect, for instance, if the market share depends on the exchange rate.
One may omit some risk factors in the regression; or one may use incorrect but correlated risk factors (such as, for instance, the Swiss franc
rather than the euro), which would lead to wrong hedging decisions.
Therefore, although the knowledge of the regression results is useful at
the strategic level and provides management with an indication of the
potential magnitude of the exposure to the various factors and the direction of the sensitivity, it cannot easily be turned into operational directives. To obtain detailed knowledge of the individual exposures, a finer
cut of the data is required.
The traditional approach (sometimes called pro forma approach) focuses on changes to cash flows as the key sensitivity measure. Starting from
the firm’s income statement or budget, single transactions are divided
into series of payable and receivable cash flows. In our case:
Profit=Sales(EUR)–Costs(GBP)–Taxes(USD)–Investment(USD)
As expected, we see that the firm is negatively exposed to the
pound/dollar and positively exposed to the euro/dollar exchange
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Financial Risk Management
rates.10 We can also estimate by how much each transaction profit
would change if the corresponding risk factors changed unexpectedly. The individual exposures are then pooled where applicable to
build an overall (net) position to be managed at the firm’s level.
Although simple, the pro-forma method has the disadvantage that it
requires precise knowledge of each future cash flow, which may be
impossible to determine with certainty. In addition, the number of
cash flows may become extremely large.
Quantify Exposures
Once risk factors have been identified, the next step is to decide on
the nature of the firm’s exposure to be managed. There are basically
three different exposures in a firm. The transaction exposure is the
effect that a price or rate change has on cash flow or firm value. It
concerns mostly near cash flows from past business deals and existing
contractual obligations. The operating exposure (also called economic exposure) is the effect that a price or rate change has on the
future expected cash flows, particularly with reference to the erosion
of competitive position. It affects both prices and quantities. The
translation exposure (also called accounting exposure) is the
degree to which market changes affect a firm’s financial statements.
This kind of risk is essentially due to accounting translations using
different book and market values (for instance, average rather than
closing exchange rates). Although no cash transactions arise, translation exposure results in bookkeeping losses or gains.
Once risk
factors have
been identified,
the next step is
to decide on the
nature of the
firm’s exposure
to be managed.
The existence of these simultaneous exposures illustrates several popular misconceptions about market risks. For instance, it is often said
that only firms with foreign operations are exposed to the exchange
rate, or that if a firm denominates all sales and purchases in its own
currency, it faces no exchange rate risk. Although this is true from a
transaction exposure perspective, it is false from the operating exposure perspective. Even if our firm invoices its French customers in
dollars, if the euro drops, its prices will have to adjust or local competitors will take advantage.
Despite the importance of long-term competitive exposure for a
firm’s future cash flows, firms tend to use financial instruments to
hedge primarily near-term (less than one year) transaction and
Although taxes first appear as irrelevant here, one has to remember that changing sales or costs
would actually affect taxes. There will also be lead-lag effects due to delays between production, sales, and tax payments. For the sake of simplicity, we have assumed that investments were
financed in dollars.
10
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Table 1. Major Market Risk Measures and Their Interpretation
Sensitivity
Meaning
Duration
How much a bond price changes (in relative terms) for a
change in interest rates
How much a duration changes for a change in interest rates
How much a bond price changes (in dollar terms) for a 0.01%
change in interest rates
How much a security’s value changes for a change of a market
index
How much a derivative’s value changes for a (small) change in
the underlying asset’s price
How much a delta changes for a change in the underlying asset
(similar to convexity)
How much a derivative’s value changes for a change in the
volatility
How much a derivative’s value changes as the deravative moves
closer to its expiration date
How much a derivative’s value changes in reponse to a change
in interest rates
Convexity
DV01
Beta
Delta
Gamma
Vega
Theta
Rho
contractual exposures (see, for instance, Bodnar & Gehardt,
1999). Even in this situation, there are numerous possible risks to
be hedged: net operating cash flows, taxable income, accounting
earnings, etc. The choice will often be driven by the effective
motives for risk management. If managers manage risks because of
financial constraints, they are more likely to hedge cash flows,
whereas if risk management is driven by managers’ risk aversion, it
is most likely that income or earnings will be hedged. In our case,
as we mentioned already, we assume that managers hedge the market value of the firm.
Often, risk exposures are simply defined as the nominal or notional
amounts of transactions, holdings, or liabilities. This is acceptable for
simple spot exposures such as foreign currencies or commodities. It
is inaccurate for complex positions such as bonds or derivative positions, because it does not reflect price sensitivity.
A battery of specific quantitative risk sensitivities measures exists for
financial instruments (see Table 1). Although they are more precise
than notional amounts, they are hard to communicate to end-users,
difficult to aggregate across risk factors, perceived subjectively,11 do
not facilitate controls, and, last but not least, irrelevant for nonfinancial firms. Value at Risk (VaR) was developed in the 1980s as an
answer to all these critiques, initially used at derivatives trading desks
The problem of sensitivities is that they are given without relative likelihood, so that their final
application is subjective—different people can reach different results.
11
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Figure 1. Illustration of the 95% Value at Risk Calculation
of major U.S. banks. Given the inherent simplicity of the concept and
its applicability at multiple levels (from a single position to the overall company), VaR has gained rapid acceptance as a valuable approach
to market risk aggregation, measurement, and communication, even
by nonfinancial firms.12
VaR is a summary statistic that quantifies the downside risk exposure
of an asset or portfolio to all aggregated market factors. Jorion
(1997) defines it as an estimate of “the worst expected loss (in value)
over a given time interval under normal market conditions at a given
confidence level.” For instance, saying that our manufacturing company has a VaR of $1 million over ten days at the 95% level is equivalent to saying that there is a 5% chance that the company’s market
value drops by more than 1 million over the next ten days.
Several nonfinancial corporations exposed to market risks have
embraced the “at Risk” concept, but prefer to focus on quantities
such as earnings, earnings per share, or cash flows. This has given
birth to alternative measures such as Earnings-at-Risk (EaR),
Earnings-per-Share-at-Risk (EPSaR), and Cash-Flow-at-Risk
(CFaR). All have the potential for being even more useful than
VaR, because they can also include sensitivity of supply/demand
functions to changes in financial variables, aggregating both business risk and financial risk.
For instance, Hallerbach and Menkveld (1999) extensively develop the case of KLM Royal
Dutch Airlines, which faces commodity risk (fuel price), foreign exchange risk (revenues), and
interest rate risk (leverage and leasing). They show that VaR is a useful tool for financial risk
management at KLM.
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Table 2. Derivatives Defined
Forward contract
Futures contract
Option
Intuitively, to
obtain an “atrisk” measure,
the idea is to
construct a distribution of possible outcomes
Swap
A private contract between two parties, a buyer and a
seller, for the buyer to purchase an asset from the seller at
a fixed price at a future date. The contract is negotiable
and flexible, but often illiquid, nonregulated, and subjects
each party to the possibility of default of the other.
A contract betwen a buyer and a seller, for the buyer
to purchase an aset from the seller at a fixed price at a
future date. The contract is traded on an organized
exchange, has standardized underlying assets, quantities,
and expirations. A clearinghouse guarantees execution,
and there is a daily settling of gains and losses to
avoid default events.
A contract between two parties in which one party (the
buyer) has the right to buy (call option) or sell (put option)
an asset at a fixed price for a definite period. To obtain this
right, the buyer pays a premium to the other party (the seller
or writer). The fixed price is called the exercise price. If the
option can be exercised at any time up to expiration, it is
called an American option. If the option can be exercised
only at expiration, it is called a European option.
An agreement between two parties for each party to pay
periodically the other a series of cash flows over an agreed
period.The payments are generally based upon different
rates applied on a notional amount of principal, which may
or may not be exchanged.
Intuitively, to obtain an “at-risk” measure, the idea is to construct a
distribution of possible outcomes, and then disregard the tail value
leaving the desired percentage of the outcomes to the left (see
Figure 1). Although the methodology has become a de facto industry standard, there are several competing approaches (parametric,
historical, simulated, etc.) to estimate this distribution, with very different assumptions, limitations . . . and results.
Therefore, firms design and supplement “at-risk” calculations with
several add-ons. These include sensitivity analysis (to show how the
figure varies with different assumptions, different data, etc.), scenario
analysis and stress testing (to assess the risk of an unusually turbulent
market environment and to be aware of worst-case situations), as well
as back testing (to determine if the computed figure proves to be
accurate after the fact).
Manage the Risk
Once individual and global market risk(s) exposure(s) are available,
strategies to control and manage them can start. To be honest, the
optimal risk management strategy is often company specific—an
assertion consistent with the observation that there is wide variety in
the risk management practices of companies. Each firm needs to
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assess which method best suits its objectives, its business, its view of
the world, and its budget.
Bearing some risks up to a given limit is a normal part of business
activity. Firms may set these limits on net positions, gross positions,
or both; they may be specified in terms of notional amounts, maximum allowable loss (stop loss), specific quantitative measures (maturity gaps, betas, deltas, etc.) or in terms of value at risk. When risk
exposure is judged excessive, firms have two possible routes to return
to an acceptable situation: change operations, or use financial markets
to modify exposures.
A change in operations is often referred to as operational hedging.
Examples include changing sources of supply, locating plants in countries where the products are primarily sold, and so on, to reduce the
impact of risk factors. The firm may also seek to match inflows and
outflows in foreign currencies (accounts payable vs. accounts receivables) to become self-hedged.
Using financial markets, firms can undertake two different kinds of
risk management. The first is hedging, that is, offsetting one risk
with an opposite position in the same (or similar) risk. The second
involves insurance, that is, the transfer of risk or a part of it to another party.
Derivatives have become a key component for financial-risk management, but it is worthwhile noting that financial hedging is not limited to the use of derivatives. For instance, issuing foreign
currency-denominated debt can reduce foreign exchange rate risk by
using foreign currency income to service the debt.
A Note on Derivatives
Derivatives are financial instruments that derive their price from the
value of another security or rate, called the underlying asset.
Traditional underlying assets are interest rates,13 exchange rates,
bonds, stocks, stock indices, and commodities. Among the latest
underlying assets for derivative products are credit (default risk),
catastrophe events, weather and electricity.
Basic derivatives include four major categories of instruments: forward contracts, futures contracts, options, and swaps (see Table 2).
As an illustration, the simplest derivative is probably a T-bill, which derives its price from the
level of interest rates.
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In recent years, over the counter (OTC) markets have succeeded in
creating a variety of new “exotic” products (zero-cost collars, range
forward deferred, average options, etc.). The attractiveness of their
complicated payoffs is that they can often achieve the specific risk
management objectives of some firms more precisely and at much
lower cost. Their economic function is the same: securitize and transfer risks to the capital markets, transforming an insurance risk into an
investment risk. “Efficient risk-sharing is what much of the futures
and options revolution has been all about,” wrote Merton Miller
(1992). Indeed, much of the financial engineering process involves
combining basic instruments so that new ones with different cash
flow patterns are created.
The public often perceives derivatives as esoteric financial instruments.
Because most derivatives’ positions are closed before maturity and
will, therefore, never result in the delivery of the underlying goods,
. . . derivative
users are carica- derivative users are caricatured as gamblers who find it more profitable
to speculate on financial markets rather than to invest in the productured as gamblers who find it tion of goods and services. This perception is incorrect, as discussed
Gibson and Zimmermann (1994). Any objective assessment of the
more profitable
economic functions performed by derivatives has to admit that they
to speculate on
financial markets have contributed positively to our ability to manage risks by providing
a low-cost efficient method to redistribute them and share them more
rather than to
invest in the pro- broadly. In particular, derivatives allow for the separation between
duction of goods ownership of an asset and the associated risk bearing. For instance,
using futures and options, inventories of commodities, or securities
and services.
can be carried without the necessity of also bearing the risk of price
fluctuation. This reduces the likelihood that owners will face financial
distress, lowers the cost of capital formation, increases market liquidity, and allows for a more efficient production outcome. Globally, this
stimulates economic growth and helps to stabilize employment.
Derivatives are also useful for managing and transforming liabilities.
For instance, using swaps, multinational corporations can alter their
ratio of fixed- to floating-rate debt and the currency composition of
that debt. This gives them the ability to obtain financing in the
cheapest capital market, wherever and however it is, and to transform
the resulting debt into the form that is desired. Similar constructions
exist on the equity side. For instance, Microsoft was one of the first
companies to sell put warrants on its own stock, reducing the cost
associated with its stock-repurchase program by $2 billion, or more
than 15%. Another example is Cephalon, a biotech company that
bought a large number of call options on its own stock. Its managers
reasoned that if the FDA were to approve Myotrophin (the firm’s
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Financial Risk Management
new drug), the firm’s stock would rise in value to reflect the future
value of the drug, its purchased call options would pay off, and the
firm could use these proceeds to finance part of its new capital needs.
Both examples are perfect illustration of the growing interactions
between risk management and capital management.
In addition to firms, governments can also benefit by learning from
derivative markets. By trading on derivatives markets, informed
agents reveal their information, which is incorporated into prices.
This reduces information asymmetry and increases market efficiency.
What about the safety and efficacy of derivatives? People often misinterpret some widely publicized losses in derivative markets as derivatives being too risky. It is important to recall that from a static
perspective, derivatives do not create new risks, but redistribute existing ones, spreading the impact of underlying economic shocks
among a larger set of investors in a better position to absorb them.
There are no fundamentally new or different risks in derivatives14 ;
indeed, familiar kinds of risks are just presented or combined in novel
ways. What is new is the coupling with leverage15: only a fraction of
the capital necessary to acquire the underlying asset is required to
open a derivative position. This has a magnifying potential and opens
the door to—but does not force—gambling. However, arguing that
derivatives are bad because they are very price sensitive is similar to
arguing that razors should be avoided because they are sharp!
Obviously, someone might injure himself if a sharp razor is not used
properly. Similarly, the inadequate use of derivatives can devastate an
organization. Should we all stop shaving?
Derivatives have also been at the center of an increasingly vociferous
public debate about their alleged destabilizing effect on the overall
stability of the financial system (“systemic risk”). Concerns have
been expressed that derivatives may exacerbate market moves
through increased trading and transmit financial shocks from one
market to another farther and faster than before. Although the
debate is still open, virtually every academic study concluded that
volatility was reduced with the introduction of derivatives. As summarized by Katiforis (1995), “the explosive growth of derivatives in
recent years was the result rather than the cause of volatility in forA good illustration is provided by Figlewski (1994): “The reason so many holders of derivatives positions took large losses in early 1994 is in most cases exactly the same as the reason that
many more investors lost money on ordinary bonds: interest rates rose very far and very fast.”
15
It is important to remember that derivatives are not leverage. It is simply one way to obtain
leverage.
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eign exchanges and in money markets.” As recognized by the
Financial Economists Roundtable (1994), “the widely publicized
losses on derivatives have been due to inadequate risk-management
systems and poor operations control and supervision. These losses
have not threatened the stability and efficiency of financial markets;
and, by encouraging the development of better risk-management
and operational controls, they have had a salutary effect.”
To summarize derivative instruments, we will say that they are now a
permanent feature of our financial markets. They are like finely tuned
racing cars in a competition open to all firms. For obvious reasons, it
is safer for untutored drivers not to join, but at the same time, nondrivers are unlikely to win the race . . .
CONCLUSIONS
. . . a complete
risk-management process
should define
and follow a
series of simple
steps . . .
Corporate risk management is a natural response to an uncertain future.
It is a matter of concern for all market participants: academics are interested in the rationality of hedging, investors are concerned by the sensitivity of stocks to given risk factors, managers are focused on efficient
ways to hedge, and regulators are preoccupied with the systemic impact
of risk and the existence of sufficient capital cushions to absorb losses.
An increased knowledge and understanding of exposure to risk is
desirable. It leads to a systematic, well-informed and thorough
method of decision making, a key step toward more effective strategic planning, better cost control and resource usage, and minimized
disruptions. Therefore, a complete risk-management process should
define and follow a series of simple steps, which involve the firm in:
(a) becoming aware of the risks; (b) measuring the risks, using
accounting information, future cash flow projections, and levels of
contingent or economic exposures; and finally, (c) adjusting the risks,
if necessary, through operational or financial actions, including the
use of derivatives.
The level of sophistication with which the risk management function
is performed has advanced significantly in recent years. Mathematics
and models play a proportionately greater role, but are not sufficient
to control risk. Qualitative input is just as important as quantitative
analysis. In fact, the two must be used in tandem for best effect.
Whatever the risk management strategy chosen, it is important to
establish good risk practices and clear standards, and to maintain the
independence of the risk management unit.
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Finally, if they truly want to increase shareholder value, firms
should also disclose their risk management practices beyond just a
footnote in their annual report, to make sure this function is
reflected in their share price.
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