The GARCH-stable option pricing model

The GARCH-stable option pricing model

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Article ID: iaor2004552
Country: Netherlands
Volume: 34
Issue: 9/11
Start Page Number: 1199
End Page Number: 1212
Publication Date: Nov 2001
Journal: Mathematical and Computer Modelling
Authors: ,
Keywords: stochastic processes
Abstract:

An option pricing model is developed based on a generalized autoregressive conditonal heteroskedastic (GARCH) asset return process with stable Paretian innovations. Our approach is based on the locally risk-neutral valuation relationship. Methods for maximum likelihood estimation of GARCH-stable processes are presented as well as empirical results for the DAX index. Finally, the results of Monte Carlo simulations evaluating prices of European call options, implied volatility, delta hedging parameters, and value at risk are presented.

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