Pricing Financial Derivatives by Gram-Charlier Expansions
In this paper we provide several applications of Gram-Charlier expansions in financial derivative pricing. We first give an exposition on how to calculate swaption prices under a two-factor Cox-Ingersoll-Ross (CIR2) model. Then we apply this method to an extended version of the model (CIR2++). We also develop a procedure to calculate European call options under Heston’s model of stochastic volatility by the Gram-Charlier Expansions.