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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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    References listed on IDEAS

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    1. Gabriel Jiménez & Jesús Saurina, 2006. "Credit Cycles, Credit Risk, and Prudential Regulation," International Journal of Central Banking, International Journal of Central Banking, vol. 2(2), May.
    2. Gordy, Michael B. & Howells, Bradley, 2006. "Procyclicality in Basel II: Can we treat the disease without killing the patient?," Journal of Financial Intermediation, Elsevier, vol. 15(3), pages 395-417, July.
    3. Martin Hellwig, 1995. "Systemic Aspects of Risk Management in Banking and Finance," Swiss Journal of Economics and Statistics (SJES), Swiss Society of Economics and Statistics (SSES), vol. 131(IV), pages 723-737, December.
    4. Borio, Claudio & Tsatsaronis, Kostas, 2004. "Accounting and prudential regulation: from uncomfortable bedfellows to perfect partners?," Journal of Financial Stability, Elsevier, vol. 1(1), pages 111-135, September.
    5. Nikola Tarashev & Claudio Borio & Kostas Tsatsaronis, 2009. "The systemic importance of financial institutions," BIS Quarterly Review, Bank for International Settlements, September.
    6. Claudio Borio, 2010. "Ten propositions about liquidity crises," CESifo Economic Studies, CESifo, vol. 56(1), pages 70-95, March.
    7. Charles Goodhart, 2004. "Per Jacobsson Lecture: Some New Directions for Financial Stability?," FMG Special Papers sp158, Financial Markets Group.
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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.

    More about this item

    JEL classification:

    • G19 - Financial Economics - - General Financial Markets - - - Other

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