The purpose of this paper is to analyse different implications of the stochastic behavior of asset prices volatilities for option hedging purposes. We present a simple stochastic volatility model for option pricing and illustrate its consistency with financial stylized facts. Then, assuming a...

In this paper, we consider Hopscotch methods for solving two - state financial models. We first derive a solution algorithm for two - dimensional partial differential equations with mixed boundary conditions. We then consider a number of financial applications including stochastic volatility...