AN OVERVIEW OF THE LITERATURE ABOUT DERIVATIVES
by Chiara Oldani1
JEL Classification: G0, E63, E44
Keywords: derivatives, monetary and fiscal policy, risks
1. Introduction
A derivative is defined by the BIS (1995) as “a contract whose value
depends on the price of underlying assets, but which does not require any
investment of principal in those assets. As a contract between two
counterparts to exchange payments based on underlying prices or yields, any
transfer of ownership of the underlying asset and cash flows becomes
unnecessary”. This definition is strictly related to the ability of derivatives of
replicating financial instruments2.
Derivatives can be divided into 5 types of contracts: Swap, Forward,
Future, Option and Repo, the last being the forward contract used by the ECB
to manage liquidity in the European inter-bank market. For a further
definition of contracts, which should although be known by the reader, see
Hull (2002).
These 5 types of contracts can be combined with each other in order to
create a synthetic asset/liability, which suits any kind of need; this extreme
flexibility and freedom widely explain the incredible growth of these
instruments on world financial markets.
In section 2 I will look at some micro-economic results about derivatives;
in section 3 the issue of risk is addressed; in section 4 monetary policy results
about derivatives are shown, and in section 5 fiscal policy results are shortly
presented. In a brief statistical appendix some relevant data are presented.
2. Some micro-economic results about derivatives
Derivatives are financial instruments widely used by all economic agents
to invest, speculate and hedge in financial market (Hull, 2002). These
functions are strictly related with the financial and mathematical definition of
instruments and do not consider the economic contents of financial assets.
1
Luiss Guido Carli University,
[email protected], viale Pola 12, Rome. I am grateful to
Prof. Paolo Savona for his precious advises. This survey is part of a research project about
derivatives supported by Guido Carli Association. Usual disclaimers apply.
2
See S. Neftci (2000) for maths details.
1
We will focus on economic functions of derivatives in the following parts of
this research project (Savona, 2003).
From a micro-economic point of view, we can shortly sum up results
about markets and instruments widely accepted in the literature.
Researches and analysis have focused on the properties of derivatives to
influence the underlying markets and the new derivative market itself.
With regard to the underlying markets, the influence on volatility and
information asymmetry are of central importance; whereas looking at the
derivatives markets, issues are liquidity, transparency and risk.
Generally speaking, the introduction of exchange traded derivative
products 1. increases information about the underlying; 2. does not seem to
increase volatility and risks of and on the underlying market; 3. price
discovery effect improves; 4. bid-ask spread and the noise component of
prices both decrease3.
The exchange-traded derivatives’ markets satisfy all requirements of
transparency, liquidity and risk monitoring and are looked at and controlled
by the Exchange Trade Authority and the Clearing House (BIS, 1995). The
BIS and IMF set out the rules for safe and sound markets structure. Some
central banks have also imposed modified capital ratios for banks and
financial institutions to include derivatives. Nowadays these markets do not
pose any particular safety problem most of all after 1987, when a crash of
exchange traded options gave rise to the control and monitoring activities.
Moreover, derivatives (e.g. options) are excellent substitutes of complex
investment strategies at a lower cost (Haugh and Lo, 2001) thus completing
markets for investors. Firms actively using derivatives show to have different
(few) risk exposure than non-using (Hentschel and Kothari, 2001), and banks
using interest rates derivatives experienced a greater growth in their
commercial and industrial loan portfolios than non-using (Brewer, Minton
and Moser, 2000). A size barrier to the use of OTC derivatives has been
underlined by Hogan and Malmquist (1999), which, however, is consistent
with profit-maximisation. Peek and Rosengren (1996) cast doubts about the
derivatives trading activities of troubled banks, most of all because there
seemed to be a risk loving behaviour (and then an increase in unmonitored
moral hazard).
Many of the available statistics and analyses look at exchange traded
derivatives; on the contrary, the growth of Over The Counter (OTC)
derivatives has an exponential pace (see BIS for some aggregate data) and
3
See B. Cohen (1999); J. Conrad (1989); A. Craig et al. (1995); M. Massa (2002); R. Violi
(2000) and many others on the Journal of Derivatives.
2
might pose some systemic problems, given the impossibility to quantify and
control the risks related4.
The continuous creation of different types of derivatives by financial
institution, in absence of any patent protection, confirms that the return on
this investment is high for the “creator” of the innovation, and pays back the
R&Ds expenditures too (Herrera and Schroth, 2002).
Micro-economic results about derivatives can be summed up also looking
at the single instrument:
a. Future contracts increase market efficiency (by lowering trading costs
and information asymmetry) and liquidity (given all expiration dates
and daily setting of margins). Transparency depends on the
international and national laws and is generally very high. Futures are
widely used to hedge and speculate, both on financial and commodity
markets. Notional value of future contract does not represent the
exposure of the two counterparts, as long as they settle their position
each day through margins.
b. Option contracts have the same effects of futures on markets. The only
drawback can be the unclear effect on volatility of the underlying,
because futures tend to lower underlying asset’s volatility, whereas
option do not give unique empirical results. The option notional value
is not a proxy of the exposure, but the premium paid to open/close the
position represents resources invested.
c. Swaps are generally OTC contracts with a longer duration than futures
and options, and satisfy the need of a single client of the bank (a firm
or financial institution). They tend to create new investment
opportunities in order to hedge against any type of risk or speculate
(currency, interest rate, hearth-quake, credit default, and so on). In
these contracts the notional value of the contract do not represent the
risk taken by the two (or more) counterparts, but periodical payments.
d. Forwards are OTC future contracts, not standardised and created on the
client needs. They showed to have almost the same properties of
futures.
e. Repos are time financing operations between the ECB and the European
inter-bank system; they are used to finance liquidity and not to
speculate or hedge, so that the inclusion of them is given only to their
structure of time operations, but not to their financial function.
The legal risk related with the absence in some countries of a strong
market regulation, both for exchange traded derivatives, underlying markets
and OTC, is somehow solved using codes of conduct and self-regulation
4
P. Barrieu and N. El-Karoui (2002) look at illiquid markets, from a utility maximisation
point of view, where derivatives on earth-quake and other catastrophic events are traded, but
no certain data about exchanges and risks are given.
3
agreements. This is sustainable as long as a monetary authority acts as a
lender of last resort for the entire financial system.
3. Derivatives and risks
The introduction of derivatives by completing information of markets on
prices of the underlying on the expiring date of the contract satisfies the price
discovery property, that is the expiring date derivative price can be
approximated with the capitalised today spot price, given constant risk free
interest rate.
Ft+n = St(er(t+n))
(3.1)
Liquidity of derivatives and underlying markets has increased according
to the wide use of these instruments by firms, financial institutions and banks
(see Statistical Appendix).
The introduction of derivatives might affect the risk of financial markets:
from a macroeconomic point of view risk can be divided in systemic and not
systemic. The first can be diversified and thus lowered; the second is not
affected by portfolio diversification and is a characteristic of the market and
country5. Systemic risk can be lowered by portfolio diversification and
derivatives play a central role in this process, given the absence of exogenous
shocks; in the presence of shocks, they behave like other financial
instruments, and can exacerbate the effects of shocks for traders, brokers and
markets as a whole.
From a macro-prudential point of view, risks related with international
exchange traded derivatives is settled by the BIS regulations, whereas risks
related with OTC derivatives is settled basically by codes of conduct and
self-regulation6.
Capital ratios and regulation, facing the Basle Capital Accords, have been
partially adjusted with derivatives in order to let them emerge in the balance
sheets of banks and financial institutions. The Balance of Payments has an
enter in the Financial Account with the sum of all margins of international
derivatives in order to give a rough idea of trading on these instruments.
Some central banks impose further (in or off-balance) information on banks
and financial institutions about derivatives’ investments.
The role of international institutions in quantifying the phenomenon is of
central importance in our analysis, but the general lack of data about OTC
instruments might limit our ability to get to a unique conclusion7.
5
See W.C. Hunter and D. Marshall (1999) for a broader definition of systemic risk.
R.S. Kroszner (1999).
7
V. Bhasin (1996); BIS (1996); M.R. Darby (1994) and F.R. Edwards (1995).
6
4
Donmez and Yilmaz (1999) state that “a mature derivatives market on an
organised exchange leads to a better risk management and better allocation of
resources in the economy”. This is confirmed also by Hunter and Marshall
(1999), who affirm “derivatives trading may increase informational
efficiency of financial markets and provide instruments for more effective
risk management”.
In the current literature, there seems to be no clear evidence about an
increase of risk, either systemic or non-systemic, in the absence of shocks; in
presence of exogenous shocks, they tend to exacerbate the effects, according
to their different risk propensity. Hunter and Marshall (1999) and Hunter and
Smith (2002) underline the important relationship between systemic risk and
derivatives, given that the presence of systemic risk needs the central bank to
act as a liquidity supplier for financial markets. In the following section I will
discuss about some key elements of monetary policy, strictly related with this
issue.
4. Macro-economic results about derivatives: monetary policy
With the introduction of derivatives, markets are more perfect thus
influencing monetary policy actions (Vrolijk, 1997); the surprise effect is no
longer a way to influence markets because of the impossibility to
counterbalance their huge liquidity (von Hagen and Fender, 1998).
Financial innovation influences the structure and behaviour of the central
banker, and the process of development of financial markets goes together
with the process of changing of monetary theory and policy8.
The classical channels of modern monetary policy are credit and bank
(money) (given the impossibility of financing the Treasury in most countries
and the existence of floating exchange rates).
The credit channel relies its power on market imperfections, either on the
information side or the money side; with derivatives it gradually looses its
importance. Credit can be substituted by derivatives, as shown by Fender
(2000) and Gorton and Rosen (1995).
The money channel is the principal mean to influence markets and their
liquidity, although cash can be substituted by daily rolled-over derivatives.
The ECB uses Repos as the mean to finance the European banking system
with 15 days duration, confirming that the money channel is the first
instrument of modern monetary policy.
An important policy function of the monetary authority is the lender of
last resort. The Long Term Capital Management’s failure in 1998 posed a
8
See I. Angeloni and M. Massa (1994); Banca d’Italia (1995a and b); Deutsche Bundesbank
(1994); C.A.E. Goodhart (1995); L. Hentschel and C. W. Jr Smith (1997); C.J. Hooyman
(1993); T. Latter (2001) and M. Pawley (1993).
5
liquidity problem to the Federal Reserve System, which had to intervene as a
counterpart to avoid a credit crunch. Other important failures, like Enron,
MetallGesellSchaft and Barings, just to mention the most famous, posed
safety and liquidity problems to monetary authorities acting to the detriment
of the liquidity of the monetary and financial system. Donmez and Yilmaz
(1999) analysed many dramatic incidents involving derivatives markets
concluding, “they do not seem to create new risks, but only change the type,
structure and nature of the existing”. With derivatives the lender of last resort
function is not changed in its scope, but in its concrete management. Hunter
and Marshall (1999) and Hunter and Smith (2002) confirm this intuition,
saying that -given no consensus about the model of systemic risk- the role of
derivatives on financial markets is not disruptive, since they increase the
efficiency of markets. However, derivatives tend to make the conduct of
monetary policy more difficult, and to complicate the regulatory process.
Looking at emerging markets, there seems to be no certain evidence about
the real danger coming from derivatives markets; moreover, Morales (2001)
says that derivatives tend to incorporate news faster than the spot markets,
and that the introduction of restrictions on emerging financial markets
increases risk, by increasing the costs of investing and moving capital abroad.
The introduction of derivatives in emerging capital markets increases
international substitutability, attracting foreign investors (e.g. Tesobono swap
in Mexico).
Central banks in certain circumstance use derivatives as a substitute of the
channels of monetary policy; Tinsley (1998), Rossetti (1998), and others
explain which are the advantages for central banks in using derivatives to
manage the exchange and interest rates, most of all in the absence of a liquid
primary market, like in Switzerland.
Financial innovation might influence the degree of substitution between
financial assets in the portfolio of economic agents. We treat this property in
a Tobin’s framework (Savona, 2003). Given more perfect financial market,
the substitutability between financial assets and liabilities increases, thus
making the traditional demand for money function unstable in its parameters,
which do not include innovation. A part of the recent literature has analysed
the impact of financial innovation on the demand for money parameters, and
has come up with some interesting points to focus on9. The introduction of
derivatives on world markets decreases asymmetries, transaction and
investment costs, thus contributing to increase the possibilities for portfolio
diversification. The degree of substitution with traditional and new
investments increases, making money aggregates less meaningful10.
9
See M.I. Biefang-Frisacho et al. (1994); D. Glennon and J. Lane (1996); P. Ireland (1995)
and S.S. Sriram (1999).
10
See A. Estrella and F.S. Mishkin (1997).
6
The definition of money base used by monetary authority influences
directly the composition of money aggregates; using the analytic definition of
the money base (Fratianni and Savona, 1972) and given the econometric
results on derivatives and their property of reacting with interest rates, the
inclusion of derivatives into money aggregates should be straightforward.
The analytic definition of money base states that if the supply of a financial
instrument has a negative reaction on interest rate, it behaves like money base
and then is part of the base of the multiplication process of money and
deposits11.
Savona and Maccario (1998), Savona, Maccario and Oldani (2000) and
Oldani (2002) have tested this reaction property and concluded that for
certain instruments the inclusion into the aggregates should be meaningful.
The instability of the deposit and money multiplier experienced in the last
years in developed countries can be explained by looking at the simple
deposit multiplier coefficients:
DEP =
1
á +â + ã
(4.1)
Where α is the liquidity propensity of the private sector (firms and
households), β is the compulsory reserve coefficient, and γ is the liquidity
propensity of banks.
The coefficient β is set at a low level in many developed countries (2% in
Europe); the coefficient γ is low because cash is a costly asset for banks and
they manage to substitute it with daily rolled-over financial instruments, like
derivatives; the coefficient α in a mature financial system is quite low given
that households tend to use electronic money, and firms manage to minimise
cash in order to lower its costs, by using financial innovation and daily
rolled-over investment strategies.
The 3 coefficients are lower than 20 years ago12, and the multiplier tends
to increase and becomes unstable because there seems to be no built in
stabiliser; but capital ratios of banks, modified to include financial
innovation, should act as built in stabiliser in the international financial
system. Firms are still out of control in this mechanism13.
11
If the reaction has a positive sign, the instrument is considered as money (and not money
base).
12
See M. Pawley (1993); D. Glennon and J. Lane (1996).
13
See G.W. Brown and K.B. Toft (2002); S.D. Makar and S.P. Huffman (2001).
7
5. Macro-economic results about derivatives: fiscal policy
Studies about the relationship between derivatives and the fiscal policy
can be divided into two main categories: the first analysing the impact of
using derivatives to lower the cost of debt, and the second looking at the tax
rules about derivatives for investors and at tax savings.
The use of derivatives by the Government (or a Public Agency) to manage
debt and lower its cost is a very important field of study, especially in
Europe. Unfortunately, data about this trading/hedging activity are not
available and the study of Piga (2000) on the use of swaps by some
Government is the only available at the moment. His conclusion are quite
encouraging, because the use of derivatives (especially swaps) decreases the
cost of the debt service and lowers the need for further debt rollover. There
seems to be no direct effect on risk, which is a very important policy issue
related with public debt management and credibility. It seems to be a debt
management strategy coherent with the need to lower the burden of public
debt on European economies in the next future.
The advantages of using derivatives for tax savings are difficult to
describe in general. With regard to banks and firms, many countries try to
treat differently derivatives’ losses/gains if they come from hedging or
speculation. The tax saving is greater for hedging, and then firms and banks
might tend to declared losses and gains in this form rather than speculation
(Hull, 2002, Wong, 2000 and Anson, 2002).
In general, the problem of derivatives being off-balance sheet items poses
many barriers to a complete analysis of fiscal effects for all economic agents.
Breuer (2000) has measured off-balance sheet leverage for financial
institutions in order to give complete information about risks’ exposure and
capital adequacy, although at an aggregate level (market or institution).
The tax-saving effect is an important incentive to invest in derivatives
markets, and the books series on this topic by Wiley and Sons is a very useful
tool for practitioners and individual investors.
6. Conclusions
Derivatives are the widest financial innovation of the last 30 years and
their impact on financial markets and operators, investment strategies and
risk management, money and fiscal policy are very important theme to look
at for economists. Here a short survey of the recent literature about
derivatives and their effect is briefly presented and some interesting underdeveloped areas of the analysis are discussed. Monetary and fiscal policy lack
some deep and complete treatment, which should look at financial innovation
as a way to change traditional management of risks and effects; financial
literature has developed some mathematical tools for analysing effects of
financial innovation, but a behavioural analysis is still needed.
8
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13
STATISTICAL APPENDIX
Tab. 1 – Derivatives Financial Instruments Traded on Organised
Exchanges by Instruments and Location
(Notional principals in billions of US dollars)
Instruments/Location
Amounts Outstanding
1999 dec. 2000 dec. 2001 dec. 2002 sept.
FUTURES
All Markets
Interest rat
Currency
Equity index
8305,8
7924,8
36,7
344,2
8359,5
7907,8
74,4
377,3
9672,5
9265,3
65,6
341,7
10687,7
10326,8
37,6
323,3
North America
3553,3
4283
5906,4
6249,6
Europe
2379,9
2322,8
2444,9
3118,5
Asia and the Pacific
2160,6
1502,8
1240,8
1225,6
Other Markets
211,9
250,9
80,4
94,1
OPTIONS
All markets
Interest rat
Currency
Equity index
5299,9
3755,5
22,4
1522,1
5918,5
4734,2
21,4
1162,9
14125,5
12492,8
27,4
1605,2
17929,9
16142
30,9
1757,1
North America
3377,3
3884,8
10292,5
11605,9
Europe
1644,3
1894,9
3734,6
6216,6
Asia and the Pacific
240,7
103,4
67,6
79,2
Other Markets
37,7
35,3
30,8
28,3
Source: BIS Quarterly Review, December 2002
14
Tab. 2 – Derivatives Financial Instruments Traded on Organised
Exchanges by Instruments and Location
(Notional principals in billions of US dollars)
Instruments/
Location
Turnover
2000 Year
2001 Year
2001 Q4
FUTURES
All Markets 318201,8
446358
117647,6
Interest rat 292204,3 420934,2
111133,3
Currency
2416,8
2499,3
675,1
Equity index 23580,9
22924,5
5839,2
North
150916,5 243993,9
65119,9
America
Europe
111591,4
154490
40516,5
Asia and the
52440,2
43369,7
10210,4
Pacific
Other
3253,8
4504,4
1800,8
Markets
OPTIONS
All markets 66459,8
148547,9
46139
Interest rat 47378,9
122765,9
38722
Currency
211,8
355,9
97,5
Equity index 18869,1
25426
7319,6
North
43999,9
107679,5
33240,6
America
Europe
17704,1
33655,8
10168,3
Asia and the
4165,8
6533,7
2538,3
Pacific
Other
590
678,9
191,8
Markets
Source: BIS Quarterly Review, December 2002
15
2002 Q1
2002 Q2
2002 Q3
119053,6 123990,6 138910,3
112417,2 116679,3 130868,3
577,3
689,1
633,4
6059,2
6622,2
7408,7
69656,7
71750,9
74375,5
38973,4
40584,6
51939,9
9500,2
10545,7
11927,1
923,4
1109,4
667,8
42851,9
34912,5
102,8
7836,7
45047,3
36134,3
124,8
8788,2
53574,9
43520,9
104
9949,9
30418,7
33408,8
35136,5
9217,3
7631,2
14112,2
3035
3845,4
4192,9
180,9
162
133,3
Tab. 3 – Amounts Outstanding of Over-The-Counter (OTC) Derivatives
by Risk Category and Instrument
(in billions of US dollars)
Risk
Category/
Instrument
Notional Amounts
2000
June
Total
Contracts
Foreign
Exchange
Interest rate
Equity
linked
Commodity
2000
Dec.
2001
June
Gross Market Values
2000
June
2000
Dec.
2001
June
2001 2002
dec. June
94008 95199 99755 111115 127564
2572
3183
3045
3788 4450
15494 15666 16910
16748
18075
578
849
773
779
64125 64668 67465
77513
89995
1230
1426
1573
2210 2468
1645
1891
1884
1881
2214
293
289
199
205
243
584
662
590
598
777
80
133
83
75
78
14375
16503
392
485
417
519
609
-
-
937
1080
1019
1171 1316
Other
12159 12313 12906
Gross
Credit
Exposure
2001
dec.
2002
June
Source: BIS Quarterly Review, December 2002
16
1052
Tab. 4 - Amounts Outstanding of OTC Foreign Exchange Derivatives
by Instrument and Counterpart
(in billions of US dollars)
Risk Category/
Instrument
Total Contracts
Outright Forward and
Foreign Exchange
Swaps
Currency Swaps
Options
Risk Category/
Instrument
Total Contracts
Outright Forward and
Foreign Exchange
Swaps
Notional Amounts
2000 June 2000 Dec. 2001 June 2001 dec. 2002 June
15494
15666
16910
16748
18075
10504
10134
10582
10336
10427
2605
2385
3194
2338
3832
2496
3942
2470
4220
3427
Gross Market Values
2000 June 2000 Dec. 2001 June 2001 dec. 2002 June
578
849
773
779
1052
283
469
Currency Swaps
239
313
Options
55
67
Source: BIS Quarterly Review, December 2002
17
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395
374
615
314
63
335
70
340
97