Fourier Transform Methods for Regime-Switching Jump-Diffusions and the Pricing of Forward Starting Options
Abstract
In this paper we consider a jump-diffusion dynamic whose parameters are driven by a continuous time and stationary Markov Chain on a finite state space as a model for the underlying of European contingent claims. For this class of processes we firstly outline the Fourier transform method both in log-price and log-strike to efficiently calculate the value of various types of options and as a concrete example of application, we present some numerical results within a two-state regime switching version of the Merton jump-diffusion model. Then we develop a closed-form solution to the problem of pricing a Forward Starting Option and use this result to approximate the value of such a derivative in a general stochastic volatility framework.
Cite
@article{arxiv.1105.4567,
title = {Fourier Transform Methods for Regime-Switching Jump-Diffusions and the Pricing of Forward Starting Options},
author = {Alessandro Ramponi},
journal= {arXiv preprint arXiv:1105.4567},
year = {2011}
}
Comments
25 pages, 6 figures