Loss Functions in Option Valuation: A Framework for Selection

Christian Wolff, Dennis Bams () and Thorsten Lehnert
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Dennis Bams: Maastricht University

LSF Research Working Paper Series from Luxembourg School of Finance, University of Luxembourg

Abstract: In this paper we investigate the importance of different loss functions when estimating and evaluating option pricing models. Our analysis shows that it is important to take into account parameter uncertainty, since this leads to uncertainty in the predicted option price. We illustrate the effect on the out-of-sample pricing errors in an application of the ad-hoc Black-Scholes model to DAX index options. We confirm the empirical results of Christoffersen and Jacobs (2004) and find strong evidence for their conjecture that the squared pricing error criterion may serve as a general purpose loss function in option valuation applications. At the same time, we provide a first yardstick to evaluate the adequacy of the loss function. This is accomplished through a data-driven method to deliver not just a point estimate of the Root Mean Squared Pricing Error (RMSE), but a distribution.

Keywords: Option pricing; loss functions; estimation risk; GARCH; implied volatility (search for similar items in EconPapers)
JEL-codes: G12 (search for similar items in EconPapers)
Date: 2008
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Citations: View citations in EconPapers (5)

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Journal Article: Loss Functions in Option Valuation: A Framework for Selection (2009)
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Persistent link: https://EconPapers.repec.org/RePEc:crf:wpaper:08-11

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