Journal of Applied Mathematics and Stochastic Analysis
Volume 2008 (2008), Article ID 474623, 30 pages
doi:10.1155/2008/474623
Abstract
We propose a model for valuing participating life insurance products under a generalized jump-diffusion model with a Markov-switching compensator. It also nests a number of important and popular models in finance, including the classes
of jump-diffusion models and Markovian regime-switching models. The Esscher
transform is employed to determine an equivalent martingale measure. Simulation
experiments are conducted to illustrate the practical implementation of the model
and to highlight some features that can be obtained from our model.