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Pricing foreign currency options under stochastic interest rates

In: Financial Derivatives Pricing Selected Works of Robert Jarrow

Author

Listed:
  • KAUSHIK I. AMIN

    (School of Business Administration, The University of Michigan, Ann Arbor, MI 48109-1234, USA)

  • ROBERT A. JARROW

    (S.C. Johnson Graduate School of Management, Cornell University, Ithaca, NY 14853, USA)

Abstract

AbstractIn this paper, we build a general framework to price contingent claims on foreign currencies using the Heath et al. (1987) model of the term structure. Closed form solutions are obtained for European options on currencies and currency futures assuming that the volatility functions determining the term structure are deterministic. As such, this paper provides an example of a bond price process (for both the domestic and foreign economies) consistent with Grabbe's (1983) formulation of the same problem.

Suggested Citation

  • Kaushik I. Amin & Robert A. Jarrow, 2008. "Pricing foreign currency options under stochastic interest rates," World Scientific Book Chapters,in: Financial Derivatives Pricing Selected Works of Robert Jarrow, chapter 14, pages 307-326 World Scientific Publishing Co. Pte. Ltd..
  • Handle: RePEc:wsi:wschap:9789812819222_0014
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    Keywords

    Derivatives; Options; Hedging; HJM; Black–Scholes; Forwards; Futures; Martingale Measure; Calls; Puts; Market Manipulation; Margin Requirements;

    JEL classification:

    • B26 - Schools of Economic Thought and Methodology - - History of Economic Thought since 1925 - - - Financial Economics
    • O16 - Economic Development, Innovation, Technological Change, and Growth - - Economic Development - - - Financial Markets; Saving and Capital Investment; Corporate Finance and Governance
    • E44 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Financial Markets and the Macroeconomy

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