Abstract In this paper, we apply importance sampling to Heston's stochastic volatility model and Bates's stochastic volatility model with jumps. We propose an effective numerical scheme that dramatically improves the speed of importance sampling. We show how the Greeks can be computed using the...

The goal of this paper is to suggest a general approach for risk management by allowing jumps occurring in the underlying assets dynamics. This methodology is based on the generalized Fourier transform in line with the works of Lewis (2001), Boyarchenko and Levendorski i (2000) as well as...