In
finance
Finance refers to monetary resources and to the study and Academic discipline, discipline of money, currency, assets and Liability (financial accounting), liabilities. As a subject of study, is a field of Business administration, Business Admin ...
, a contingent claim is a
derivative
In mathematics, the derivative is a fundamental tool that quantifies the sensitivity to change of a function's output with respect to its input. The derivative of a function of a single variable at a chosen input value, when it exists, is t ...
whose future payoff depends on the value of another “
underlying
In finance, a derivative is a contract between a buyer and a seller. The derivative can take various forms, depending on the transaction, but every derivative has the following four elements:
# an item (the "underlier") that can or must be bou ...
” asset,
[Dale F. Gray, ]Robert C. Merton
Robert Cox Merton (born July 31, 1944) is an American economist, Nobel Memorial Prize in Economic Sciences laureate, and professor at the MIT Sloan School of Management, known for his pioneering contributions to continuous-time finance, especia ...
and Zvi Bodie. (2007). Contingent Claims Approach to Measuring and Managing Sovereign Credit Risk. ''Journal of Investment Management'', Vol. 5, No. 4, (2007), pp. 5–28[ M. J. Brennan (1979). The Pricing of Contingent Claims in Discrete Time Models. ''The Journal of Finance''. Vol. 34, No. 1 (Mar., 1979), pp. 53-68] or more generally, that is dependent on the realization of some uncertain future event.
[Sean Ross]
What kinds of derivatives are types of contingent claims?
Investopedia
Investopedia is a global financial media website headquartered in New York City. Founded in 1999, Investopedia provides investment dictionaries, advice, reviews, ratings, and comparisons of financial products, such as securities accounts. It ...
These are so named, since there is only a payoff under certain contingencies.
["Approaches to valuation", Ch2. in Aswath Damodaran (2012). ''Investment Valuation: Tools and Techniques for Determining the Value of any Asset''. John Wiley & Sons. ]
Any derivative instrument that is not a contingent claim is called a forward commitment.
The prototypical contingent claim is an
option,
the right to buy or sell the underlying asset at a specified exercise price by a certain expiration date; whereas (
vanilla
Vanilla is a spice derived from orchids of the genus ''Vanilla (genus), Vanilla'', primarily obtained from pods of the flat-leaved vanilla (''Vanilla planifolia, V. planifolia'').
''Vanilla'' is not Autogamy, autogamous, so pollination ...
)
swaps,
forwards, and
futures are forward commitments, since these grant no such optionality.
Contingent claims are applied under
financial economics
Financial economics is the branch of economics characterized by a "concentration on monetary activities", in which "money of one type or another is likely to appear on ''both sides'' of a trade".William F. Sharpe"Financial Economics", in
Its co ...
in developing models and theory, and in
corporate finance
Corporate finance is an area of finance that deals with the sources of funding, and the capital structure of businesses, the actions that managers take to increase the Value investing, value of the firm to the shareholders, and the tools and analy ...
as a
valuation framework.
This approach originates with
Robert C. Merton
Robert Cox Merton (born July 31, 1944) is an American economist, Nobel Memorial Prize in Economic Sciences laureate, and professor at the MIT Sloan School of Management, known for his pioneering contributions to continuous-time finance, especia ...
,
decomposing the value of a corporate into a set of options in his "
Merton model" of credit risk.
Financial economics
In
financial economics
Financial economics is the branch of economics characterized by a "concentration on monetary activities", in which "money of one type or another is likely to appear on ''both sides'' of a trade".William F. Sharpe"Financial Economics", in
Its co ...
, contingent claim analysis is widely used as a framework both for developing pricing models, and for extending the theory.
Thus, from its origins in option pricing and the valuation of corporate liabilities, it has become a major approach to
intertemporal equilibrium under uncertainty.
[ Simon Babbs and Michael Selby (1992)]
Contingent Claims Analysis
in The New Paigrave Dictionary of Money and Finance, eds J Eatwell, M Milgate and P Newman, Macmillan (1992), pp 437-440
The general approach here is to define risky outcomes relative to
states of the world, and to then use claims to represent and value state outcomes:
:
::where
are the states,
are the claims (or cashflows),
are the
risk neutral probabilities,
is the "
risk-free rate".
Thus given a definition of risky states, all financial instruments and arrangements can be represented as combinations of contingent claims on those states.
[ Edwin H. Neave and Frank J. Fabozzi (2012). Introduction to Contingent Claims Analysis, in Encyclopedia of Financial Models, Frank Fabozzi ed. Wiley (2012)]
This framework is therefore “broader than ‘option pricing’ because it encompasses the full gamut of valuation approaches directed toward the pricing of contingent claims.” This would include "the full range of models designed to price government, corporate, and
mortgage-backed securities
A mortgage-backed security (MBS) is a type of asset-backed security (an "Financial instrument, instrument") which is secured by a mortgage loan, mortgage or collection of mortgages. The mortgages are aggregated and sold to a group of individuals ( ...
... as well as options and futures on
fixed income securities."
[ David F. Babbel and Craig R. Merrill (1996). Valuation of Interest-Sensitive Financial Instruments (SOA Monograph M-FI96-1). Wiley. ][See for example: Jonathan E. Ingersoll (1977)]
A contingent-claims valuation of convertible securities
''Journal of Financial Economics
The ''Journal of Financial Economics'' is a peer-reviewed academic journal published by Elsevier, covering the field of finance. It is considered to be one of the premier finance journals. According to the ''Journal Citation Reports'', the journa ...
'' Volume 4, Issue 3, May 1977, Pages 289-321
Corporate finance
A recent development in
corporate finance
Corporate finance is an area of finance that deals with the sources of funding, and the capital structure of businesses, the actions that managers take to increase the Value investing, value of the firm to the shareholders, and the tools and analy ...
,
[David T. Larrabee, Jason A. Voss (2012). ''Valuation Techniques: Discounted Cash Flow, Earnings Quality, Measures of Value Added, and Real Options''. John Wiley & Sons, 2012. ] is “the acceptance, at least in some cases, that the value of an asset may be greater than the present value of expected cash flows, if the cash flows are contingent on the occurrence or non-occurrence of an event”.
This contingent claim valuation, uses
option pricing models to measure the value of assets that share option-like characteristics.
While these models were initially used to value traded options, there has been an attempt in recent years to extend the reach of these models into
more traditional valuation. The fundamental premise here, is that “discounted cash flow models tend to understate the value of assets that provide payoffs that are contingent on the occurrence of an event."
See
Real options valuation
Real options valuation, also often termed real options analysis,Adam Borison (Stanford University)''Real Options Analysis: Where are the Emperor's Clothes?''
(ROV or ROA) applies option (finance), option Valuation of options, valuation technique ...
generally, and
§ Applicability of standard techniques there. (One major modification here is that these models often rely on a
replicating portfolio as opposed to traditional risk neutral pricing.)
Typical
corporate finance "project" valuations would include
patents
A patent is a type of intellectual property that gives its owner the legal right to exclude others from making, using, or selling an invention for a limited period of time in exchange for publishing an sufficiency of disclosure, enabling discl ...
,
undeveloped natural resource reserves, and
"suffering companies" – all of these exhibiting optionality. See .
Funding dependent, corporate financial investments and
special purpose entities also often inhere optionality and must then be modeled correspondingly.
Contingent claim valuation is also used to value specific
balance sheet
In financial accounting, a balance sheet (also known as statement of financial position or statement of financial condition) is a summary of the financial balances of an individual or organization, whether it be a sole proprietorship, a business ...
assets
In financial accounting, an asset is any resource owned or controlled by a business or an economic entity. It is anything (tangible or intangible) that can be used to produce positive economic value. Assets represent value of ownership that can b ...
and
liabilities which similarly exhibit option-like characteristics.
[Kenneth D. Garbade (2001). ''Pricing Corporate Securities as Contingent Claims.'' ]MIT Press
The MIT Press is the university press of the Massachusetts Institute of Technology (MIT), a private research university in Cambridge, Massachusetts. The MIT Press publishes a number of academic journals and has been a pioneer in the Open Ac ...
. Examples are
employee stock option
Employee stock options (ESO or ESOPs) is a label that refers to compensation contracts between an employer and an employee that carries some characteristics of Options (finance), financial options.
Employee stock options are commonly viewed as ...
s,
contingent value rights,
warrants and other
convertible securities, and
investment
Investment is traditionally defined as the "commitment of resources into something expected to gain value over time". If an investment involves money, then it can be defined as a "commitment of money to receive more money later". From a broade ...
s with
embedded option
An embedded option
is a component of a financial bond or other security, which provides the bondholder or the issuer the right to take some action against the other party. There are several types of options that can be embedded into a bond; comm ...
s such as
callable bond
A callable bond (also called redeemable bond) is a type of bond ( debt security) that allows the issuer of the bond to retain the privilege of redeeming the bond at some point before the bond reaches its date of maturity. In other words, on the c ...
s or
contingent convertible bonds.
References
{{Reflist, 30em
Derivatives (finance)