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The Approximate Option Pricing Model: Performances and Dynamic Properties

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  • Gunther Capelle-Blancard

    (EconomiX - EconomiX - UPN - Université Paris Nanterre - CNRS - Centre National de la Recherche Scientifique, TEAM - Théories et Applications en Microéconomie et Macroéconomie - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique, CADRE - Université de Lille, Droit et Santé)

  • Emmanuel Jurczenko

    (ESCP-EAP - ESCP-EAP - Ecole Supérieure de Commerce de Paris)

  • Bertrand Maillet

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

Abstract

Using high frequency data from ParisBourse SA, this article examines pricing and hedging performances of the Jarrow and Rudd (Journal of Financial Economics 10 (1982) pp. 347–369) model. We first find that this model improves the pricing of CAC 40 index European call options whether in-sample or out-of-sample, and whatever economic or statistic criterion may be used. Moreover, simple models for implied moments lead—in a dynamic setting—to results very close to those from in-sample optimization. But, we also find that this model does not improve hedging strategy and that the Black and Scholes (Journal of Political Economy (1973) pp. 637–655) model is still difficult to beat.

Suggested Citation

  • Gunther Capelle-Blancard & Emmanuel Jurczenko & Bertrand Maillet, 2001. "The Approximate Option Pricing Model: Performances and Dynamic Properties," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-00308985, HAL.
    • Handle: RePEc:hal:cesptp:hal-00308985
    DOI: 10.1016/S1042-444X(01)00031-7
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    Cited by:

    1. Andreou, Panayiotis C. & Charalambous, Chris & Martzoukos, Spiros H., 2010. "Generalized parameter functions for option pricing," Journal of Banking & Finance, Elsevier, vol. 34(3), pages 633-646, March.
    2. Jurczenko, Emmanuel & Maillet, Bertrand & Negrea, Bogdan, 2002. "Revisited multi-moment approximate option pricing models a general comparison (Part 1)," LSE Research Online Documents on Economics 24950, London School of Economics and Political Science, LSE Library.
    3. Capelle-Blancard, Gunther & Jurczenko, Emmanuel & Maillet, Bertrand, 2001. "The approximate option pricing model: performances and dynamic properties," Journal of Multinational Financial Management, Elsevier, vol. 11(4-5), pages 427-443, December.
    4. Lim, G.C. & Martin, G.M. & Martin, V.L., 2006. "Pricing currency options in the presence of time-varying volatility and non-normalities," Journal of Multinational Financial Management, Elsevier, vol. 16(3), pages 291-314, July.
    5. León, à ngel & Mencía, Javier & Sentana, Enrique, 2009. "Parametric Properties of Semi-Nonparametric Distributions, with Applications to Option Valuation," Journal of Business & Economic Statistics, American Statistical Association, vol. 27(2), pages 176-192.
    6. Ozge Sezgin Alp, 2016. "The Performance of Skewness and Kurtosis Adjusted Option Pricing Model in Emerging Markets: A case of Turkish Derivatives Market," International Journal of Finance & Banking Studies, Center for the Strategic Studies in Business and Finance, vol. 5(3), pages 70-84, April.
    7. V. L. Martin & G. M. Martin & G. C. Lim, 2005. "Parametric pricing of higher order moments in S&P500 options," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 20(3), pages 377-404.
    8. Bogdan Negrea & Bertrand Maillet & Emmanuel Jurczenko, 2002. "Skewness and Kurtosis Implied by Option Prices: A Second Comment," FMG Discussion Papers dp419, Financial Markets Group.

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