Evaluating Volatility Forecasts in Option Pricing in the Context of a Simulated Options Market

Computational Statistics and Data Analysis, Vol. 49, No. 2, pp. 611-629, 2005

17 Pages Posted: 12 Sep 2005

See all articles by Evdokia Xekalaki

Evdokia Xekalaki

Athens University of Economics and Business

Stavros Antonios Degiannakis

Department of Economic and Regional Development, Panteion University of Political and Social Sciences

Abstract

The performance of an ARCH model selection algorithm based on the standardized prediction error criterion (SPEC) is evaluated. The evaluation of the algorithm is performed by comparing different volatility forecasts in option pricing through the simulation of an options market. Traders employing the SPEC model selection algorithm use the model with the lowest sum of squared standardized one-step-ahead prediction errors for obtaining their volatility forecast. The cumulative profits of the participants in pricing one-day index straddle options always using variance forecasts obtained by GARCH, EGARCH and TARCH models are compared to those made by the participants using variance forecasts obtained by models suggested by the SPEC algorithm. The straddles are priced on the Standard and Poor 500 (S&P500) index. It is concluded that traders, who base their selection of an ARCH model on the SPEC algorithm, achieve higher profits than those, who use only a single ARCH model. Moreover, the SPEC algorithm is compared with other criteria of model selection that measure the ability of the ARCH models to forecast the realized intra-day volatility. In this case too, the SPEC algorithm users achieve the highest returns. Thus, the SPEC model selection method appears to be a useful tool in selecting the appropriate model for estimating future volatility in pricing derivatives.

Keywords: ARCH models, Forecast Volatility, Model selection, Predictability, Standardized Prediction Error Criterion, Option Pricing

Suggested Citation

Xekalaki, Evdokia and Degiannakis, Stavros Antonios, Evaluating Volatility Forecasts in Option Pricing in the Context of a Simulated Options Market. Computational Statistics and Data Analysis, Vol. 49, No. 2, pp. 611-629, 2005, Available at SSRN: https://ssrn.com/abstract=798433

Evdokia Xekalaki

Athens University of Economics and Business ( email )

76 Patission Street
GR-10434 Athens
Greece

Stavros Antonios Degiannakis (Contact Author)

Department of Economic and Regional Development, Panteion University of Political and Social Sciences ( email )

136 Sygrou
Athens
Greece

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