Optimal risk and dividend distribution control models for an insurance company (Q1974020)

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scientific article; zbMATH DE number 1441489
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Optimal risk and dividend distribution control models for an insurance company
scientific article; zbMATH DE number 1441489

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    Optimal risk and dividend distribution control models for an insurance company (English)
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    12 November 2000
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    This paper gives a short survey of stochastic models of risk control and dividend optimization techniques for a financial corporation. The objective in the models presented in this paper is the maximization of the dividend pay-outs. Models with different types of condition imposed upon a company and different types of reinsurance available, such as proportional, noncheap, proportional in a presence of a constant debt liability, excess-of-loss, are discussed. It is shown that in the most cases the optimal divident distribution scheme is a barrier type, while the risk control policy depends significantly on the nature of the reinsurance available.
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    stochastic control
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    stochastic differential equations
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    reinsurance
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    Hamilton-Jacobi-Bellman equation
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    ruin problem
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    short survey
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