GARCH vs stochastic volatility. Option pricing and risk management.

Alfred Lehar, Martin Scheicher, Christian Schittenkopf

Publication: Working/Discussion PaperWU Working Paper

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Abstract

This paper examines the out-of-sample performance of two common extensions of the Black-Scholes framework, namely a GARCH and a stochastic volatility option pricing model. The models are calibrated to intraday FTSE 100 option prices. We apply two sets of performance criteria, namely out-of-sample valuation errors and Value-at-Risk oriented measures. When we analyze the fit to observed prices, GARCH clearly dominates both stochastic volatility and the benchmark Black Scholes model. However, the predictions of the market risk from hypothetical derivative positions show sizable errors. The fit to the realized profits and losses is poor and there are no notable differences between the models. Overall we therefore observe that the more complex option pricing models can improve on the Black Scholes methodology only for the purpose of pricing, but not for the Value-at-Risk forecasts. (author's abstract)
Original languageEnglish
Place of PublicationVienna
PublisherSFB Adaptive Information Systems and Modelling in Economics and Management Science, WU Vienna University of Economics and Business
Publication statusPublished - 2001

Publication series

NameReport Series SFB "Adaptive Information Systems and Modelling in Economics and Management Science"
No.52

WU Working Paper Series

  • Report Series SFB \Adaptive Information Systems and Modelling in Economics and Management Science\

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