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In finance, a contingent claim is a
derivative In mathematics, the derivative of a function of a real variable measures the sensitivity to change of the function value (output value) with respect to a change in its argument (input value). Derivatives are a fundamental tool of calculus. ...
whose future payoff depends on the value of another “ underlying” asset,Dale F. Gray, Robert C. Merton 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?
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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 Option or Options may refer to: Computing *Option key, a key on Apple computer keyboards *Option type, a polymorphic data type in programming languages *Command-line option, an optional parameter to a command *OPTIONS, an HTTP request method ...
, the right to buy or sell the underlying asset at a specified exercise price by a certain expiration date; whereas (
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) swaps, forwards, and
futures Futures may mean: Finance *Futures contract, a tradable financial derivatives contract *Futures exchange, a financial market where futures contracts are traded * ''Futures'' (magazine), an American finance magazine Music * ''Futures'' (album), a ...
are forward commitments, since these grant no such optionality. Contingent claims are applied under
financial economics Financial economics, also known as finance, 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"Financia ...
in developing models and theory, and in corporate finance as a valuation framework. This approach originates with Robert C. Merton, decomposing the value of a corporate into a set of options in his "
Merton model The Merton model, developed by Robert C. Merton in 1974, is a widely used credit risk model. Analysts and investors utilize the Merton model to understand how capable a company is at meeting financial obligations, servicing its debt, and weighing ...
" of credit risk.


Financial economics

In
financial economics Financial economics, also known as finance, 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"Financia ...
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
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... 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. 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. 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 Frank J. Fabozzi is an American economist, educator, writer, and investor, currently Professor of Practice at The Johns Hopkins University Carey Business School and a Member of Edhec Risk Institute. He was previously a Professor of Finance at EDHE ...
(2012). Introduction to Contingent Claims Analysis, in Encyclopedia of Financial Models, Frank Fabozzi ed. Wiley (2012)
Mark Rubinstein. (2005). "Great Moments in Financial Economics: IV. The Fundamental Theorem (Part I)", '' Journal of Investment Management'', Vol. 3, No. 4, Fourth Quarter 2005; ~ (2006). Part II, Vol. 4, No. 1, First Quarter 2006. See Arrow-Debreu security, Risk-neutral measure, .


Corporate finance

A recent development in corporate finance,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 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 enabling disclosure of the invention."A p ...
, undeveloped natural resource reserves, and contingent value rights – all of these exhibiting optionality. See . Funding dependent, corporate specific financial investments and
special purpose entities A special-purpose entity (SPE; or, in Europe and India, special-purpose vehicle/SPV; or, in some cases in each EU jurisdiction, FVC, financial vehicle corporation) is a legal entity (usually a limited company of some type or, sometimes, a limited ...
also often inhere optionality and must be modeled correspondingly. Contingent claim valuation is also used here 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 busine ...
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.''
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.
Examples are employee stock options, warrants and other convertible securities, and investments with embedded options such as callable bonds or contingent convertible bonds.


References

{{Reflist, 30em Derivatives (finance)