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Taking into account extreme events in European option pricing

Author

Listed:
  • Idier, J.
  • Jardet, C.
  • Le Fol, G.
  • Monfort, A.
  • Pegoraro, J.

Abstract

According to traditional option pricing models,1 financial 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

  • Idier, J. & Jardet, C. & Le Fol, G. & Monfort, A. & Pegoraro, J., 2008. "Taking into account extreme events in European option pricing," Financial Stability Review, Banque de France, issue 12, pages 39-51, October.
    • Handle: RePEc:bfr:fisrev:2008:12:5
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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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