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American option pricing with discrete and continuous time models: An empirical comparison

Lars Stentoft

Journal of Empirical Finance, 2011, vol. 18, issue 5, 880-902

Abstract: This paper considers discrete time GARCH and continuous time SV models and uses these for American option pricing. We first of all show that with a particular choice of framework the parameters of the SV models can be estimated using simple maximum likelihood techniques. We then perform a Monte Carlo study to examine their differences in terms of option pricing, and we study the convergence of the discrete time option prices to their implied continuous time values. Finally, a large scale empirical analysis using individual stock options and options on an index is performed comparing the estimated prices from discrete time models to the corresponding continuous time model prices. The results show that, while the overall differences in performance are small, for the in the money put options on individual stocks the continuous time SV models do generally perform better than the discrete time GARCH specifications.

Keywords: American options; Augmented GARCH; Least squares Monte Carlo; Stochastic volatility (search for similar items in EconPapers)
JEL-codes: C22 C53 G13 (search for similar items in EconPapers)
Date: 2011
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (7)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:empfin:v:18:y:2011:i:5:p:880-902

DOI: 10.1016/j.jempfin.2011.09.004

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Journal of Empirical Finance is currently edited by R. T. Baillie, F. C. Palm, Th. J. Vermaelen and C. C. P. Wolff

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