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Pricing European commodity swaptions

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  • Sami Jarvinen
  • Harri Toivonen

Abstract

In this paper, formulas for commodity swaptions are presented. By utilizing the forward price based approach a simple closed form solution for European swaptions is derived based on the assumption of deterministic volatility for lognormal variables. The formulas result from applying the Margrabe (1978) exchange option concept to the present problem. A special case of constant volatility yields the Black (1976) formula that has been the market standard in the interest rate swaption markets for many years.

Suggested Citation

  • Sami Jarvinen & Harri Toivonen, 2004. "Pricing European commodity swaptions," Applied Economics Letters, Taylor & Francis Journals, vol. 11(15), pages 925-929.
    • Handle: RePEc:taf:apeclt:v:11:y:2004:i:15:p:925-929
    DOI: 10.1080/1350485042000291394
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    References listed on IDEAS

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    1. David Heath & Robert Jarrow & Andrew Morton, 2008. "Bond Pricing And The Term Structure Of Interest Rates: A New Methodology For Contingent Claims Valuation," World Scientific Book Chapters, in: Financial Derivatives Pricing Selected Works of Robert Jarrow, chapter 13, pages 277-305, World Scientific Publishing Co. Pte. Ltd..
    2. Miltersen, Kristian R & Sandmann, Klaus & Sondermann, Dieter, 1997. "Closed Form Solutions for Term Structure Derivatives with Log-Normal Interest Rates," Journal of Finance, American Finance Association, vol. 52(1), pages 409-430, March.
    3. Gibson, Rajna & Schwartz, Eduardo S, 1990. "Stochastic Convenience Yield and the Pricing of Oil Contingent Claims," Journal of Finance, American Finance Association, vol. 45(3), pages 959-976, July.
    4. Black, Fischer & Scholes, Myron S, 1973. "The Pricing of Options and Corporate Liabilities," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 637-654, May-June.
    5. Hilliard, Jimmy E. & Reis, Jorge, 1998. "Valuation of Commodity Futures and Options under Stochastic Convenience Yields, Interest Rates, and Jump Diffusions in the Spot," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 33(1), pages 61-86, March.
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