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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...
Persistent link: https://www.econbiz.de/10005845998
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. ...
Persistent link: https://www.econbiz.de/10005845999
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...
Persistent link: https://www.econbiz.de/10005846358
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...
Persistent link: https://www.econbiz.de/10005846359
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.
Persistent link: https://www.econbiz.de/10005846360
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...
Persistent link: https://www.econbiz.de/10005846381
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...
Persistent link: https://www.econbiz.de/10005846581
Demand for ART products is growing, according to Swiss Re's latest sigma study, The picture of ART, particularly in areas where traditional risk transfer is either expensive or unavailable. The report creates transparency in a market segment that has rapidly grown in complexity over recent...
Persistent link: https://www.econbiz.de/10005846582
This publication compares several interesting, representative and illustrative rating systems and discusses the underlying theoretical pay-as-you-go models and funded schemes. It does not intend to define an ideal system but to work out the strengths and weaknesses of each model and to compare...
Persistent link: https://www.econbiz.de/10005846759
The paper addresses the financial reorganization and corporate restructuring required in the aftermath of an asset bubble. Although much has been written about macroeconomic policies monetary and fiscal measures to abate and respond to bubbles, too little attention hasbeen given to the...
Persistent link: https://www.econbiz.de/10005846983