We investigate the problem of optimal dividend distribution for a company in the presence of regime shifts. We consider a company whose cumulative net revenues evolve as a Brownian motion with positive drift that is modulated by a finite state Markov chain, and model the discount rate as a...

Suppose that risk reserves of an insurance company are governed by a Markov-modulated classical risk model with parameters modulated by a finite-state irreducible Markov chain. The main purpose of this paper is to calculate ultimate ruin probability that ruin time, the first time when risk...

This paper investigates risk-neutral price of European option under dividend barrier strategy when cumulative log-return during time interval [0,t] of the underlying stock in the absence of dividends follows a Brownian motion with drift. Such a dividend barrier strategy means that in the...

We study the problem of optimal dividend payments for a company of limited liability whose cash reserves in the absence of dividends follow a Markov-modulated jump-diffusion process with positive drifts, where parameters and the discount rate are modulated by a finite-state irreducible Markov...