We consider an insurance company whose surplus is represented by the classical Cramer-Lundberg process. The company can invest its surplus in a risk free asset and in a risky asset, governed by the Black-Scholes equation. There is a constraint that the insurance company can only invest in the...

Given an insurance Portfolio, investment in new business is used to minimize the probability of technical ruin for the total position. This is a simple stochastic control problem for which solutions can be characterized and computed when the risk processes for old and new business are modelled...

This paper considers a problem of DU (Ee and Richardson in an economy in which there are two observable processes X and Y both driven by Brownian motions.

We consider a risk process modelled as a compound Poisson process. The ruin probability of this risk process is minimized by the choice of a suitable investment strategy for a capital market index. ...

An optimal control problem is considered where a risky asset is used for investment and this investment is ...nanced by initial wealth as well as by a state dependent income. The objektive function is accumulated discounted aspected utility of the wealth, where the utility function is increasing...

We consider a risk process modelled as a compound Poisson process. We find the otimal dynamic unlimited excess of loss reinsurance strategy to minimize infinite time ruin probability, and prove the existence of a smooth solution of the corresponding Hamilton-Jacobi-Bellman equation as well as a...

... The aim of the paper is to obtain the asymptotic behaviour of the ruin probability under the optimal investment strategy in the small claims case ...

Consider the following stylized model for insurance business: X1, X2,...the total sum of claims per period are iid nonnegative integer valued, c the total premium per period is a positive integer, and the initial surplus s is a non negative integer. The Reserve R(t) of the company without...