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Option pricing under GARCH models with generalized hyperbolic innovations (II) : data and results

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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 CAC 40 index, on the period January 2, October 26, 2007. Under the historical measure, we estimate an EGARCH model with Generalized Hyperbolic innovations, using this dataset. We showed in 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.

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File URL: ftp://mse.univ-paris1.fr/pub/mse/CES2008/B08047.pdf
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Bibliographic Info

Paper provided by Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne in its series Documents de travail du Centre d'Economie de la Sorbonne with number b08047.

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Length: 19 pages
Date of creation: Jul 2008
Date of revision:
Handle: RePEc:mse:cesdoc:b08047

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Keywords: Generalized Hyperbolic Distribution; option pricing; incomplete market; CAC 40; GARCH models.;

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Cited by:
  1. Christophe Chorro & Dominique Guegan & Florian Ielpo, 2009. "Martingalized historical approach for option pricing," Documents de travail du Centre d'Economie de la Sorbonne 09021, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
  2. Petr Gapko & Martin Šmíd, 2010. "Modeling a Distribution of Mortgage Credit Losses," Working Papers IES 2010/23, Charles University Prague, Faculty of Social Sciences, Institute of Economic Studies, revised Sep 2010.

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