We consider in this paper that the reserve of an insurance company follows the classical model, in which the aggregate claim amount follows a compound Poisson process. Our goal is to minimize the ruin probability of the company assuming that the management can invest dynamically part of the...

The paper is concerned with stochastic control problems of finite time horizon whose running cost function is of superlinear growth with respect to the control variable. We prove that, as the time horizon tends to infinity, the value function converges to a function of variable separation type...

Market making and optimal portfolio liquidation in the context of electronic limit order books are of considerably practical importance for high frequency (HF) market makers as well as more traditional brokerage firms supplying optimal execution services for clients. In general, the two problems...

We consider an investor who wants to select his optimal consumption, investment and insurance policies. Motivated by new insurance products, we allow not only the financial market but also the insurable loss to depend on the regime of the economy. The objective of the investor is to maximize his...

We study the dividend optimization problem for a company where surplus in the absence of dividend payments follows a Cramér–Lundberg process compounded by constant force of interest. The company controls the times and amounts of dividend payments subject to reserve constraints that dividends...

This paper considers an optimal investment and excess-of-loss reinsurance problem with delay for an insurer under Heston’s stochastic volatility (SV) model. Suppose that the insurer is allowed to purchase excess-of-loss reinsurance and invests her surplus in a financial market consisting of...

This paper analyzes the optimal proportional reinsurance and investment problem for an insurer in a defaultable market. We assume that the reinsurance premium is calculated via the exponential premium principle. The insurer can allocate his/her wealth among the following securities: a bank...