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Mixed Modified Fractional Merton model of the bear spread Basket put option using the multidimensional Mellin transform

Author

Listed:
  • Eric Djeutcha

    (UMa - University of Maroua)

  • Jules Sadefo-Kamdem

    (MRE - Montpellier Recherche en Economie - UM - Université de Montpellier)

  • Louis Aimé Fono

    (Faculté des Sciences [Douala] - Université de Douala)

Abstract

In this paper, The generalized Mixed-Modified-Fractional-Merton like partial differential equation with multi-assets under mixed modified fractional geometric Brownian motion was derived. The multidimensional Mellin transform was applied to derive the integral equation for the price of the European put option on a bear spread basket of multi-assets.

Suggested Citation

  • Eric Djeutcha & Jules Sadefo-Kamdem & Louis Aimé Fono, 2021. "Mixed Modified Fractional Merton model of the bear spread Basket put option using the multidimensional Mellin transform," Working Papers hal-03330043, HAL.
    • Handle: RePEc:hal:wpaper:hal-03330043
    DOI: 10.13140/RG.2.2.22786.40647
    Note: View the original document on HAL open archive server: https://hal.science/hal-03330043
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    References listed on IDEAS

    as
    1. Xu, Guoping & Zheng, Harry, 2010. "Basket options valuation for a local volatility jump-diffusion model with the asymptotic expansion method," Insurance: Mathematics and Economics, Elsevier, vol. 47(3), pages 415-422, December.
    2. Guoping Xu & Harry Zheng, 2010. "Basket Options Valuation for a Local Volatility Jump-Diffusion Model with the Asymptotic Expansion Method," Papers 1003.1848, arXiv.org.
    3. Jules Sadefo Kamdem, 2006. "Option pricing with Levy process using Mellin Transform," Post-Print hal-02939009, HAL.
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    6. Eric Djeutcha & Didier Alain Njamen Njomen & Louis-Aimé Fono, 2019. "Solving Arbitrage Problem on the Financial Market Under the Mixed Fractional Brownian Motion With Hurst Parameter H ∈]1/2,3/4[," Journal of Mathematics Research, Canadian Center of Science and Education, vol. 11(1), pages 76-92, February.
    7. Merton, Robert C., 1976. "Option pricing when underlying stock returns are discontinuous," Journal of Financial Economics, Elsevier, vol. 3(1-2), pages 125-144.
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