This thesis deals with the portfolio optimization problem of an investor who aims to maximize the expected utility of her terminal wealth. The considered multidimensional asset price model incorporates several risk factors modeled both by diffusion processes and by a Markov chain. Based on the...

In this paper, we present a stochastic optimal control model to optimize an insurance firm problem in the case where its cash-balance process is assumed to be described by a stochastic differential equation driven by Teugels martingales. Noticing that the insurance firm is able to control its...