We consider the problem of valuing a European option written on an asset whose dynamics are described by an exponential Lévy-type model. In our framework, both the volatility and jump-intensity are allowed to vary stochastically in time through common driving factors-one fast-varying and one...

We introduce a new class of local volatility models. Within this framework, we obtain expressions for both (i) the price of any European option and (ii) the induced implied volatility smile. As an illustration of our framework, we perform specific pricing and implied volatility computations for...

In a market with stochastic interest rates, we consider an investor who can either (i) invest all of his wealth in a money market account or (ii) purchase zero-coupon bonds and invest the remainder of his wealth in the money market account. The indifference price of the zero-coupon bond is the...