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Taking into account extreme events in European option pricing

Author

Listed:
  • Julien Idier

    (Centre de recherche de la Banque de France - Banque de France)

  • Caroline Jardet

    (Centre de recherche de la Banque de France - Banque de France)

  • Gaëlle Le Fol

    (DRM - Dauphine Recherches en Management - Université Paris Dauphine-PSL - PSL - Université Paris Sciences et Lettres - CNRS - Centre National de la Recherche Scientifique)

  • Alain Monfort

    (CREST - Centre de Recherche en Économie et Statistique - ENSAI - Ecole Nationale de la Statistique et de l'Analyse de l'Information [Bruz] - X - École polytechnique - IP Paris - Institut Polytechnique de Paris - ENSAE Paris - École Nationale de la Statistique et de l'Administration Économique - CNRS - Centre National de la Recherche Scientifique)

  • Fulvio Pegoraro

    (Centre de recherche de la Banque de France - Banque de France)

Abstract

According to traditional option pricing models,1 fi nancial markets underestimate the impact of tail risk. In this article, we put forward a European option pricing model based on a set of assumptions that ensure, inter alia, that extreme events are better taken into account. Using simulations, we compare the option prices obtained from the standard Black and Scholes model with those resulting from our model. We show that the traditional model leads to an overvaluation of at-the-money options, which are the most traded options, while the less liquid in-the-money and out-of-the-money options are undervalued.

Suggested Citation

  • Julien Idier & Caroline Jardet & Gaëlle Le Fol & Alain Monfort & Fulvio Pegoraro, 2008. "Taking into account extreme events in European option pricing," Post-Print halshs-00638450, HAL.
    • Handle: RePEc:hal:journl:halshs-00638450
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    Cited by:

    1. Avouyi-Dovi, S. & Idier, J., 2010. "Central bank liquidity and market liquidity: the role of collateral provision on the French government debt securities market," Working papers 278, Banque de France.

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