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Optimal Choice Models for Executing Time to American Options


  • Feng Dai

    (Zhengzhou Information Engineering University)

  • Feng Han

    (Zhengzhou Information Engineering University)


Based on the structure models of options pricing on non-dividend-paying stock [16], this paper presents the choosing models and methods of optimal time of executing an American options for the first time. By using the models and methods, we can find the choosing criterion and optimal time to exercise the American options, i.e. the product of options price and its occurring probability is at maximum. So we can decide that an American option should be exercised or not in any time. The conclusions in this paper are more important in its consulting effect for single trader and organization investors to make their security market trade.

Suggested Citation

  • Feng Dai & Feng Han, 2004. "Optimal Choice Models for Executing Time to American Options," Finance 0412016, EconWPA.
  • Handle: RePEc:wpa:wuwpfi:0412016
    Note: Type of Document - pdf; pages: 10

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    References listed on IDEAS

    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. Barone-Adesi, Giovanni & Whaley, Robert E, 1987. " Efficient Analytic Approximation of American Option Values," Journal of Finance, American Finance Association, vol. 42(2), pages 301-320, June.
    3. Merton, Robert C., 1976. "Option pricing when underlying stock returns are discontinuous," Journal of Financial Economics, Elsevier, vol. 3(1-2), pages 125-144.
    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. Peter Carr & Robert Jarrow & Ravi Myneni, 2008. "Alternative Characterizations Of American Put Options," World Scientific Book Chapters,in: Financial Derivatives Pricing Selected Works of Robert Jarrow, chapter 5, pages 85-103 World Scientific Publishing Co. Pte. Ltd..
    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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    More about this item


    partial distribution; American options; structure pricing; optimal executing; analytic formula;

    JEL classification:

    • G - Financial Economics

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