In this paper, we propose an approximation method based on the Wiener-Ito chaos expansion for the pricing of European contingent claims. Our method is applicable to widely used option pricing models such as local volatility models, stochastic volatility models, and their combinations. This...

This study examines the effect of fractional volatility on option prices. To this end, we develop an approximation method for the pricing of European-style contingent claims when volatility follows a fractional Brownian motion. Through extensive numerical experiments, we confirm that the...

In the option pricing literature, it is well known that:(i) the decrease in the smile amplitude is much slower than standard stochastic volatility models and, (ii) the term structure of the at-the-money volatility skew is approximated by a power-law function with the exponent close to zero....