American option valuation: implied calibration of GARCH pricing models

Weber, M. and Prokopczuk, M. (2011) American option valuation: implied calibration of GARCH pricing models. The Journal of Futures Markets, 31 (10). pp. 971-994. ISSN 1096-9934 doi: 10.1002/fut.20496

Abstract/Summary

This study analyzes the issue of American option valuation when the underlying exhibits a GARCH-type volatility process. We propose the usage of Rubinstein's Edgeworth binomial tree (EBT) in contrast to simulation-based methods being considered in previous studies. The EBT-based valuation approach makes an implied calibration of the pricing model feasible. By empirically analyzing the pricing performance of American index and equity options, we illustrate the superiority of the proposed approach.