This paper proposes a unified approximation method for various options whose payoffs depend on the volume weighted average price (VWAP). Despite their popularity in practice, quite few pricing models have been developed in the literature. Also, in previous works, the underlying asset process has...

We advance a model of the tradable permit market and derive a pricing formula for contingent claims traded in the market in a general equilibrium framework. It is shown that prices of such contingent claims exhibit significantly different properties from those in the ordinary financial markets....

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...

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...

Stochastic orders and inequalities are very useful tools in various areas of economics and finance. The purpose of this paper is to describe main results obtained so far by using the idea of stochastic orders in financial optimization. Especially, the emphasis is placed on the demand and shift...

This paper examines the B¨uhlmann’s equilibrium pricing model (1980) in the presence of transaction cost and derives the (multivariate) Esscher transform within the framework under some assumptions. The result reveals that the Esscher transform is an appropriate probability transform for the...