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Une application de la formule de Jarrow et Rudd aux options sur indice CAC 40

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  • Gunther Capelle-Blancard

    (TEAM - Théories et Applications en Microéconomie et Macroéconomie - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique)

  • Emmanuel Jurczenko

    (TEAM - Théories et Applications en Microéconomie et Macroéconomie - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique)

Abstract

Many empirical studies pointed out that the Black-Scholes model led to a wrong evaluation of deep in-the-money options and deep out-the-money options. These biases are usually attributed to the hypothesis of log-normality of the underlying asset. In order to remove these biaises, Jarrow and Rudd (1982) propose to use a series expansion for the state price density. This approach allows to take non-normal skewness and kurtosis in asset returns into account. Using high frequency data from the SBF database, we examine the explicative and predictive performance of the Jarrow and Rudd option valuation. We find that Jarrow and Rudd's model improves the valuation of CAC 40 index option (PXL).

Suggested Citation

  • Gunther Capelle-Blancard & Emmanuel Jurczenko, 2000. "Une application de la formule de Jarrow et Rudd aux options sur indice CAC 40," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-03723832, HAL.
    • Handle: RePEc:hal:cesptp:halshs-03723832
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-03723832
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    References listed on IDEAS

    as
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    More about this item

    Keywords

    option pricing models; density probability functions; volatility forecast; Edgeworth expansion; modèles d'évaluation d'options; fonction de densité de probabilité; prévision de volatilité; développement d'Edgeworth;
    All these keywords.

    JEL classification:

    • G10 - Financial Economics - - General Financial Markets - - - General (includes Measurement and Data)
    • 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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