A GARCH Option Pricing Model with Filtered Historical Simulation

We propose a new method for pricing options based on GARCH models with filtered historical innovations. In an incomplete market framework, we allow for different distributions of historical and pricing return dynamics enhancing the model flexibility to fit market option prices. An extensive empirical analysis based on S&P 500 index options shows that our model outperforms other competing GARCH pricing models and ad hoc Black-Scholes models. We show that the flexible change of measure, the asymmetric GARCH volatility and the nonparametric innovation distribution induce the accurate pricing performance of our model. Using a nonparametric approach, we obtain decreasing state price densities per unit probability as suggested by economic theory and corroborating our GARCH pricing model. Implied volatility smiles appear to be explained by asymmetric volatility and negative skewness of filtered historical innovations.


Published in:
Review of Financial Studies, 21, 3, 1223-1258
Year:
2008
Keywords:
Note:
Best Paper in Quantitative Finance award at the Quantitative Methods in Finance Conference 2005, Sydney
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 Record created 2009-10-12, last modified 2018-03-17

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