This paper proposes a new approximation formula for pricing average options under Heston's stochastic volatility model. When using the formula based on the Gram-Charlier expansion, it is necessary to know any moments of an averaged underlying asset price. We try to derive an analytical solution...

This research is aimed at examining the theoretical relations between expected option returns and a pricing kernel. Under mild assumptions, it is demonstrated that the condition of the tail of the pricing kernel slope characterizes the slope and curvature of the expected option returns. This...

This paper presents an approximate formula for pricing average options when the underlying asset price is driven by time-changed Levy processes. Time-changed Levy processes are attractive to use for a driving factor of underlying prices because the processes provide a flexible framework for...

This paper proposes a new scheme for the static replication of European options and their portfolios. First, we derive a general approximation formula for efficient static replication as an extension of Carr and Chou (1997, 2002) and Carr and Wu (2002). Second, we present a concrete procedure...

This paper proposes a simple scheme for static hedging of defaultable contingent claims. It is a kind of generalization of the technique developed by Carr and Chou (1997), Carr and Madan (1998), and Takahashi and Yamazaki (2009a) into unified credit-equity modelings. Our scheme provides a...