Funahashi and Kijima (2013) have proposed an approximation method based on the Wiener-Ito chaos expansion for the pricing of European-style contingent claims. In this paper, we extend the method to the multi-asset case with general local volatility structure for the pricing of exotic basket...

Funahashi and Kijima (in press, A chaos expansion approach for the pricing of contingent claims, <italic>Journal of Computational Finance</italic>) have proposed an approximation method based on the Wiener--Ito chaos expansion for the pricing of European-style contingent claims. In this paper, we extend the...

In this paper, we propose an approximation method based on the Wiener-Ito chaos expansion for the pricing of European-style contingent claims. Our method is applicable to the general class of continuous Markov processes. The resulting approximation formula requires at most three-dimensional...

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....

Funahashi and Kijima (2013) have proposed an approximation method based on the Wiener-Ito chaos expansion for the pricing of European-style contingent claims. In this paper, we extend the method to the multi-asset case with general local volatility structure for the pricing of exotic basket...