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Pricing multivariate european equity option using gaussian mixture distributions and evt-based copulas

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  • Hassane Abba Mallam
  • Diakarya Barro
  • Yameogo WendKouni
  • Bisso Saley

Abstract

In this article, we present an approach which allows to take into account the effect of extreme values in the modeling of financial asset returns and in the valorisation of associeted options. Specifically, the marginal distribution of assets returns is modeled by a mixture of two gaussiens distributions. Moreover, we model the joint dependence structure of the returns using an extremal copula which is suitable for our financial data. Applications are made on the Atos and Dassault Systems actions of the CAC40 index. Monte-Carlo method is used to compute the values of some equity options: the call on maximum, the call on minimum, the digital option and the spreads option with the basket (Atos, Dassault systems).

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  • Hassane Abba Mallam & Diakarya Barro & Yameogo WendKouni & Bisso Saley, 2021. "Pricing multivariate european equity option using gaussian mixture distributions and evt-based copulas," Papers 2105.10599, arXiv.org.
    • Handle: RePEc:arx:papers:2105.10599
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    References listed on IDEAS

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    1. Joshua Rosenberg, 1999. "Semiparametric Pricing of Multivariate Contingent Claims," New York University, Leonard N. Stern School Finance Department Working Paper Seires 99-028, New York University, Leonard N. Stern School of Business-.
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    5. Johnson, Herb, 1987. "Options on the Maximum or the Minimum of Several Assets," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 22(3), pages 277-283, September.
    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.
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