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Option Pricing under GARCH models with Generalized Hyperbolic distribution (II) : Data and Results

Author

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  • Christophe Chorro

    () (CES - Centre d'économie de la Sorbonne - UP1 - Université Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique)

  • Dominique Guegan

    () (CES - Centre d'économie de la Sorbonne - UP1 - Université Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique)

  • Florian Ielpo

    () (CES - Centre d'économie de la Sorbonne - UP1 - Université Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique)

Abstract

In this paper, we provide a new dynamic asset pricing model for plain vanilla options and we discuss its ability to produce minimum mispricing errors on equity option books. The data set is the daily log returns of the French CAC40 index, on the period January 2, 1988, October 26, 2007. Under the historical measure, we adjust, on this data set, an EGARCH model with Generalized Hyperbolic innovations. We have shown (Chorro, Guégan and Ielpo, 2008) that when the pricing kernel is an exponential affine function of the state variables, the risk neutral distribution is unique and implies again a Generalized Hyperbolic dynamic, with changed parameters. Thus, using this theoretical result associated to Monte Carlo simulations, we compare our approach to natural competitors in order to test its efficiency. More generally, our empirical investigations analyze the ability of specific parametric innovations to reproduce market prices in the context of the exponential affine specification of the stochastic discount factor.

Suggested Citation

  • Christophe Chorro & Dominique Guegan & Florian Ielpo, 2008. "Option Pricing under GARCH models with Generalized Hyperbolic distribution (II) : Data and Results," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-00308687, HAL.
  • Handle: RePEc:hal:cesptp:hal-00308687 Note: View the original document on HAL open archive server: https://hal.archives-ouvertes.fr/hal-00308687
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    References listed on IDEAS

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    1. Christian Bordes & Laurent Clerc, 2007. "Price Stability And The Ecb'S Monetary Policy Strategy," Journal of Economic Surveys, Wiley Blackwell, vol. 21(2), pages 268-326, April.
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    4. Drumetz, F. & Avouyi-Dovi, S. & Brun, M. & Dreyfus, A. & Oung, V. & Sahuc, J-G., 2005. "La fonction de demande de monnaie pour la zone euro : un réexamen," Bulletin de la Banque de France, Banque de France, issue 142, pages 23-39.
    5. Frederic S. Mishkin, 2009. "Monetary Policy Strategy," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262513374, January.
    6. Carlson, John B. & Craig, Ben & Schwarz, Jeffrey C., 2000. "Structural uncertainty and breakpoint tests: an application to equilibrium velocity1," Journal of Economics and Business, Elsevier, vol. 52(1-2), pages 101-115.
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