CIRJE-F-725 "Pricing Discrete Barrier Options under Stochastic Volatility"
Author Name Shiraya, Kenichiro, Akihiko Takahashi and Toshihiro Yamada
Date March 2010
Full Paper  
Remarks @@Revised in April 2010, February 2011 and August 2011; subsequently published in Asia Pacific Financial Markets.
Abstract

This paper proposes a new approximation method for pricing barrier options with discrete monitoring under stochastic volatility environment. In particular, the integration-by-parts formula and the duality formula in Malliavin calculus are effectively applied in pricing barrier options with discrete monitoring. To the best of our knowledge, this paper is the first one that shows an analytical approximation for pricing discrete barrier options with stochastic volatility models. Furthermore, it provides numerical examples for pricing double barrier call options with discrete monitoring under Heston and λ-SABR models.