... 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 ...

In a talk given at the Royal Statistical Society of London, Karl Borch in 1967 made the following statement (see Taksar 44):...It took some more time until the first papers on stochastic control in insurance appeared. Since then we can see a rapid development of this field with a series of...

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.

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...