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...

Im Zuge des europäischen Binnenmarktes kam es im Lebensversicherungsbereich 1994 zur Umsetzung der dritten EG Richtlinie. Dadurch fiel insbesondere die Vorgabe der Rechnungsgrundlagen und die Notwendigkeit einer Vorabgenehmigung von Versicherungstarifen weg.(...)

In jüngster Vergangenheit hat die Versicherungswirtschaft einen grundlegenden Wandel durchlaufen. Deregulierung, Globalisierung sowie Substitutionskonkurrenz führten zu einem verschärften Wettbewerb um Marktanteile bei sinkenden Gewinnmargen.Aufgrund dieser neuen Wettbewerbsdynamik und den...

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...

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...

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.

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...

In 2002 losses from natural catastrophes and man-made losses cost non-life insurers USD 13.5 bilion across the globe. This was markedly below the previous year´s level of USD 35 billion. While natural catastrophes caused losses of USD 11.4 billion, property losses from man-made disasters...