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Asymmetric Jump Processes: Option Pricing Implications


  • Brice Dupoyet


This article proposes and tests a convenient, easy to use closed-form solution for the pricing of a European Call option where the underlying asset is subject to upward and downward jumps displaying separate distributions and probabilities of occurrence. The setup presented in this article lays in contrast to the assumption of lognormality in the jump magnitude generally made in the option pricing literature and can be used by academics and practitioners alike as it allows for a more precise modeling of the implied volatility smile. Through the use of both simulations and actual options data on the S&P 500 index it is shown that the asymmetric jump model captures deviations from the standard geometric Brownian motion with more precision than the lognormal jump setup is able to achieve

Suggested Citation

  • Brice Dupoyet, 2004. "Asymmetric Jump Processes: Option Pricing Implications," Computing in Economics and Finance 2004 40, Society for Computational Economics.
  • Handle: RePEc:sce:scecf4:40

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    References listed on IDEAS

    1. Gerking, Shelby & Stanley, Linda R, 1986. "An Economic Analysis of Air Pollution and Health: The Case of St. Louis," The Review of Economics and Statistics, MIT Press, vol. 68(1), pages 115-121, February.
    2. Williams, Roberton III, 2002. "Environmental Tax Interactions when Pollution Affects Health or Productivity," Journal of Environmental Economics and Management, Elsevier, vol. 44(2), pages 261-270, September.
    3. Jesse Schwartz & Robert Repetto, 2000. "Nonseparable Utility and the Double Dividend Debate: Reconsidering the Tax-Interaction Effect," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 15(2), pages 149-157, February.
    4. Mayeres, Inge & Proost, Stef, 1997. " Optimal Tax and Public Investment Rules for Congestion Type of Externalities," Scandinavian Journal of Economics, Wiley Blackwell, vol. 99(2), pages 261-279, June.
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    Cited by:

    1. Kaeck, Andreas, 2013. "Asymmetry in the jump-size distribution of the S&P 500: Evidence from equity and option markets," Journal of Economic Dynamics and Control, Elsevier, vol. 37(9), pages 1872-1888.

    More about this item


    derivative securities;

    JEL classification:

    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing


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