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The Structure Models for Futures Options Pricing and Related Researches

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  • Feng Dai
  • Yajun Sun
  • Songtao Wu

Abstract

Based on the structure model of option pricing (Dai and Qin, 2005) and partial distribution (Dai, 2001), this paper designs a new kind of expression of futures price. It presents the structure pricing model for American futures options on underlying non-dividend-paying stocks, and provides three put-call parities between American call and put option on spots, call and put option on futures, and spot options and futures options. These are different from the current put-call parity on European options.The paper also proves analytically that an American call option on futures must be worth more than the corresponding American call option on spot and an American put option on futures must be worth less than the corresponding American put option on spot in a normal market; and the opposite holds true in an inverted market.

Suggested Citation

  • Feng Dai & Yajun Sun & Songtao Wu, 2008. "The Structure Models for Futures Options Pricing and Related Researches," The IUP Journal of Applied Economics, IUP Publications, vol. 0(3), pages 61-76, May.
    • Handle: RePEc:icf:icfjae:v:07:y:2008:i:3:p:61-76
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    References listed on IDEAS

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    1. DAI & Feng QIN & Zifu, 2005. "DF Structure Models for Options Pricing," The IUP Journal of Applied Economics, IUP Publications, vol. 0(6), pages 61-77, November.
    2. Cox, John C. & Ross, Stephen A., 1976. "The valuation of options for alternative stochastic processes," Journal of Financial Economics, Elsevier, vol. 3(1-2), pages 145-166.
    3. Miltersen, Kristian R. & Schwartz, Eduardo S., 1998. "Pricing of Options on Commodity Futures with Stochastic Term Structures of Convenience Yields and Interest Rates," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 33(1), pages 33-59, March.
    4. Merton, Robert C., 1976. "Option pricing when underlying stock returns are discontinuous," Journal of Financial Economics, Elsevier, vol. 3(1-2), pages 125-144.
    5. 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.
    6. Geske, Robert & Roll, Richard, 1984. "On Valuing American Call Options with the Black-Scholes European Formula," Journal of Finance, American Finance Association, vol. 39(2), pages 443-455, June.
    7. Peter Ritchken & Rob Trevor, 1999. "Pricing Options under Generalized GARCH and Stochastic Volatility Processes," Journal of Finance, American Finance Association, vol. 54(1), pages 377-402, February.
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    Cited by:

    1. Feng Dai & Lin Liang, 2005. "The Advance in Partial Distribution£ºA New Mathematical Tool for Economic Management," Econometrics 0508001, University Library of Munich, Germany.

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    More about this item

    JEL classification:

    • F3 - International Economics - - International Finance
    • F4 - International Economics - - Macroeconomic Aspects of International Trade and Finance

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