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Df Structure Models For Options Pricing

Author

Listed:
  • Feng Dai

    (Zhengzhou Information Engineering University)

  • Zifu Qin

    (Zhengzhou Information Engineering University)

Abstract

Based on the Partial Distribution[16], [17], we presents the concepts and expressions of DF process and DF structure and put forward the DF structure models of pricing options on a non-dividend-paying underlying for the first time. The DF structure models are able to price the call and put options exercised at any time, so it is applicable to pricing the American and European options. Finally, examples are given to compare the options priced by DF formulas and by Black-Scholes formulas, they show, as a whole, that the DF¡¯ prices of options are closer to the trading prices than Black-Scholes¡¯ prices in many cases.

Suggested Citation

  • Feng Dai & Zifu Qin, 2004. "Df Structure Models For Options Pricing," Finance 0403005, University Library of Munich, Germany.
    • Handle: RePEc:wpa:wuwpfi:0403005
    Note: Type of Document - pdf; pages: 12
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    References listed on IDEAS

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    1. Johnson, H. E., 1983. "An Analytic Approximation for the American Put Price," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 18(1), pages 141-148, March.
    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. Whaley, Robert E., 1981. "On the valuation of American call options on stocks with known dividends," Journal of Financial Economics, Elsevier, vol. 9(2), pages 207-211, June.
    7. Miccichè, Salvatore & Bonanno, Giovanni & Lillo, Fabrizio & Mantegna, Rosario N, 2002. "Volatility in financial markets: stochastic models and empirical results," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 314(1), pages 756-761.
    8. 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.
    9. 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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    Citations

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    Cited by:

    1. Feng, Dai & Yuan-Zheng, Zhong, 2006. "The Stochastic Advance-Retreat Course: An Approach to Analyse Social-Economic Evolution," MPRA Paper 117, University Library of Munich, Germany.
    2. Feng Dai & Jianping Qi & Ling Liang, 2011. "Socio‐economic development model based on stochastic advance‐retreat course," International Journal of Social Economics, Emerald Group Publishing Limited, vol. 38(5), pages 416-437, April.
    3. 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.
    4. Feng Dai & Hui Liu & Ying Wang, 2005. "Multivariate Partial Distribution: A New Method of Pricing Group Assets and Analyzing the Risk for Hedging," Econometrics 0507012, University Library of Munich, Germany.
    5. Feng Dai & Lin Liang, 2005. "The Advance in Partial Distribution£ºA New Mathematical Tool for Economic Management," Econometrics 0508001, University Library of Munich, Germany.
    6. Feng Dai & Feng Han, 2004. "Optimal Choice Models for Executing Time to American Options," Finance 0412016, University Library of Munich, Germany.

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    More about this item

    Keywords

    Partial Distribution; DF structure; options pricing; analytic formula; non-dividend-paying;
    All these keywords.

    JEL classification:

    • G - Financial Economics

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