This article considers the dividend optimization problem for an insurer with a jumpdiffusion risk process in the presence of fixed and proportional transaction costs. Due to the presence of a fixed transaction cost, the mathematical problem becomes an impulse stochastic control problem. Using a stochastic impulse control approach, we transform the stochastic control problem into a quasi-variati...

We consider in this paper the optimal dividend problem for an insurance company whose uncontrolled reserve process evolves as a classical Cramér–Lundberg model with arbitrary claim-size distribution. Our objective is to find the dividend payment policy which maximizes the cumulative expected discounted dividend pay-outs until the time of bankruptcy imposing a ceiling on the dividend rates. We c...

We analyse the interaction between dividend policy and investment decision in a growth opportunity of a liquidity constrained firm. This leads us to study a mixed singular control/optimal stopping problem for a diffusion that we solve quasi-explicitly establishing connections with two auxiliary optimal stopping problems. We characterize situations where it is optimal to postpone dividend distri...

Effects of dividend policy on corporate financial growth, is a major concern of most entities. Whether dividends have an influence on the value of the firm, is an important question in dividend policy. This study aimed at investigating the effects of dividend policy on financial growth of media firms. The study was conducted in Nairobi at The Nation media Group Headquarters. Respondents were se...

We consider a mixed stochastic control problem that arises in Mathematical Finance literature with the study of interactions between dividend policy and investment. This problem combines features of both optimal switching and singular control. We prove that our mixed problem can be decoupled in two pure optimal stopping and singular control problems. Furthermore, we describe the form of the opt...

In this paper, the optimal dividend (subject to transaction costs) and reinsurance (with two reinsurers) problem is studied in the limit diffusion setting. It is assumed that transaction costs and taxes are required when dividends occur, and that the premiums charged by two reinsurers are calculated according to the exponential premium principle with different parameters, which makes the stocha...

We consider a model of a nancial corporation which has to nd an optimal policy balancing its risk and expected proots. The example treated in this paper is related to an insurance company with the risk control method known in the industry as excess-of-loss reinsurance. Under this scheme the insurance company divert part of its premium stream to another company in exchange of an obligation to pi...

This paper studies financial policy, investment decisions and the threat of dismissal when managers value control and investments generate manager-specific value. A high probability of investigation focuses the manager on the profitability of replacement and therefore managerspecific value. The probability of an investigation increases when the firm enters bankruptcy. Thus, high debt levels foc...

In this paper we consider the optimal dividend problem for an insurance company whose risk process evolves as a spectrally negative Lévy process in the absence of dividend payments. The classical dividend problem for an insurance company consists in finding a dividend payment policy that maximizes the total expected discounted dividends. Related is the problem where we impose the restriction th...