A GARCH Option Pricing Model with Filtered Historical Simulation

A-Tier
Journal: The Review of Financial Studies
Year: 2008
Volume: 21
Issue: 3
Pages: 1223-1258

Authors (3)

Giovanni Barone-Adesi (not in RePEc) Robert F. Engle (New York University (NYU)) Loriano Mancini (not in RePEc)

Score contribution per author:

1.341 = (α=2.01 / 3 authors) × 2.0x A-tier

α: calibrated so average coauthorship-adjusted count equals average raw count

Abstract

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, which enhances the model's 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. The Author 2008. Published by Oxford University Press on behalf of The Society for Financial Studies. All rights reserved. For permissions, please e-mail: [email protected]., Oxford University Press.

Technical Details

RePEc Handle
repec:oup:rfinst:v:21:y:2008:i:3:p:1223-1258
Journal Field
Finance
Author Count
3
Added to Database
2026-01-25