Option prices seem to behave in ways inconsistent with the Black-Scholes model. Implied volatility varies with the … strike price in a parabolic shape that is often called the volatility 'smile.' My objective in this paper is to identify … promising in explaining the volatility smile. Applying this to the ERM data, I find that the probability of a devaluation in the …

An efficient method is developed for pricing American options on combination stochastic volatility …/jump-diffusion processes when jump risk and volatility risk are systematic and nondiversifiable, thereby nesting two major option pricing … models. The parameters implicit in PHLX-traded Deutschemark options of the stochastic volatility/jump- diffusion model and …

We introduce an asymptotic expansion for forward start options in a multi-factor local-stochastic volatility model. We … derive explicit approximation formulas for the so-called forward implied volatility which can be useful to price complex path … generalized to a wider class of local-stochastic volatility models. We illustrate the effectiveness of the technique through some …