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Subordinated Market Index Models: A Comparison

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  • SIMON HURST
  • ECKHARD PLATEN
  • SVETLOZAR RACHEV

Abstract

The paper compares various processes subordinated to the Wiener process to model the leptokurtic characteristics of index returns. Empirical analysis is performed on the Dow Jones and Nikkei 225 indexes. A good model to capture the typical tail behaviour of these indexes turns out to be a long Student t distributed one. Copyright Kluwer Academic Publishers 1997

Suggested Citation

  • Simon Hurst & Eckhard Platen & Svetlozar Rachev, 1997. "Subordinated Market Index Models: A Comparison," Asia-Pacific Financial Markets, Springer;Japanese Association of Financial Economics and Engineering, vol. 4(2), pages 97-124, May.
    • Handle: RePEc:kap:apfinm:v:4:y:1997:i:2:p:97-124
    DOI: 10.1023/A:1009650313980
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    References listed on IDEAS

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    1. Benoit Mandelbrot, 1967. "The Variation of Some Other Speculative Prices," The Journal of Business, University of Chicago Press, vol. 40, pages 393-393.
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    4. Praetz, Peter D, 1972. "The Distribution of Share Price Changes," The Journal of Business, University of Chicago Press, vol. 45(1), pages 49-55, January.
    5. Madan, Dilip B & Seneta, Eugene, 1990. "The Variance Gamma (V.G.) Model for Share Market Returns," The Journal of Business, University of Chicago Press, vol. 63(4), pages 511-524, October.
    6. 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.
    7. Clark, Peter K, 1973. "A Subordinated Stochastic Process Model with Finite Variance for Speculative Prices," Econometrica, Econometric Society, vol. 41(1), pages 135-155, January.
    8. Hull, John C & White, Alan D, 1987. "The Pricing of Options on Assets with Stochastic Volatilities," Journal of Finance, American Finance Association, vol. 42(2), pages 281-300, June.
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