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Changes of Numeraire for Pricing Futures, Forwards, and Options

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Author Info
Schroder, Mark
Abstract

A change of numeraire argument is used to derive a general option parity, or equivalence, result relating American call and put prices, and to obtain new expressions for futures and forward prices. The general parity result unifies and extends a number of existing results. The new futures and forward pricing formulas are often simpler to compute in multifactor models than existing alternatives. We also extend previous work by deriving a general formula relating exchange options to ordinary call options. A number of applications to diffusion models, including stochastic volatility, stochastic interest rate, and stochastic dividend rate models, and jump-diffusion models are examined. Article published by Oxford University Press on behalf of the Society for Financial Studies in its journal, The Review of Financial Studies.

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Publisher Info
Article provided by Oxford University Press for Society for Financial Studies in its journal Review of Financial Studies.

Volume (Year): 12 (1999)
Issue (Month): 5 ()
Pages: 1143-63
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Handle: RePEc:oup:rfinst:v:12:y:1999:i:5:p:1143-63

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  1. Giorgio Santis & Bruno Gerard & Fulvio Ortu, 2000. "Generalized Numeraire Portfolios," University of California at Los Angeles, Anderson Graduate School of Management 1027, Anderson Graduate School of Management, UCLA. [Downloadable!]
  2. José Fajardo & Ernesto Mordecki, 2006. "Skewness Premium with Lévy Processes," IBMEC RJ Economics Discussion Papers 2006-04, Economics Research Group, IBMEC Business School - Rio de Janeiro. [Downloadable!]
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  3. Fajardo, J. & Mordeckiz, E., 2004. "Duality and Derivative Pricing with Lévy Processes," Finance Lab Working Papers flwp_71, Finance Lab, Ibmec São Paulo. [Downloadable!]
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  4. Ernesto Mordecki & José Fajardo, 2004. "Pricing Derivatives on Two Lé}vy-driven Stocks," Econometric Society 2004 North American Winter Meetings 139, Econometric Society. [Downloadable!]
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  5. José Fajardo & Ernesto Mordecki, 2005. "Duality and Derivative Pricing with Time-Changed Lévy Processes," IBMEC RJ Economics Discussion Papers 2005-12, Economics Research Group, IBMEC Business School - Rio de Janeiro. [Downloadable!]
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