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The Partial Distribution: Definition, Properties and Applications in Economy

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  • feng dai

    (Zhengzhou Information Engineering University)

Abstract

In this discussed draft, we want to present the Partial Distribution (F.Dai, 2001) for discussing. We compare the partial distribution with lognormal and levy distribution. Though the levy distribution is better to describe the prices distribution of stock and stock indexes in a moderately large volatility range, the lognormal is better in a region of low values of volatility. We shall try to elucidate that the Partial Distribution is better than lognormal distribution in many respects. From partial distribution, we can acquire lots of interesting results, such as, describing the probability that stock price become zero if corresponding company collapses or the commodity price become zero if it lapses, expressing the average selling price of a commodity or stocks as the cost and average profits, and offering the accurate analytic model of American puts options pricing, etc. there are some related studies in appendix.

Suggested Citation

  • feng dai, 2004. "The Partial Distribution: Definition, Properties and Applications in Economy," Econometrics 0403008, University Library of Munich, Germany.
    • Handle: RePEc:wpa:wuwpem:0403008
    Note: Type of Document - pdf; pages: 11
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    References listed on IDEAS

    as
    1. Blomeyer, Edward C. & Johnson, Herb, 1988. "An Empirical Examination of the Pricing of American Put Options," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 23(1), pages 13-22, March.
    2. Ofer Biham & Zhi-Feng Huang & Ofer Malcai & Sorin Solomon, 2002. "Long-Time Fluctuations in a Dynamical Model of Stock Market Indices," Papers cond-mat/0208464, arXiv.org.
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    4. Ernst Eberlein & Jean Jacod, 1997. "On the range of options prices (*)," Finance and Stochastics, Springer, vol. 1(2), pages 131-140.
    5. Boyle, Phelim P., 1988. "A Lattice Framework for Option Pricing with Two State Variables," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 23(1), pages 1-12, March.
    6. Bunch, David S & Johnson, Herb, 1992. "A Simple and Numerically Efficient Valuation Method for American Puts Using a Modified Geske-Johnson Approach," Journal of Finance, American Finance Association, vol. 47(2), pages 809-816, June.
    7. 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.
    8. 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.
    9. Dario Villani & Andrei E. Ruckenstein, 2000. "Looking Forward to Pricing Options from Binomial Trees," Finance 0004009, University Library of Munich, Germany.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    partial distribution; economic analysis; commodity pricing; American puts option; accurate pricing formula;
    All these keywords.

    JEL classification:

    • C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General
    • C2 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables
    • C3 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables
    • C4 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics
    • C5 - Mathematical and Quantitative Methods - - Econometric Modeling
    • C8 - Mathematical and Quantitative Methods - - Data Collection and Data Estimation Methodology; Computer Programs

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