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Optimizing expected utility of dividend payments for a Cram\'er-Lundberg risk proces

Computational Finance 2017-05-08 v3 Probability Portfolio Management

Abstract

We consider the problem of maximizing the discounted utility of dividend payments of an insurance company whose reserves are modeled as a classical Cram\'er-Lundberg risk process. We investigate this optimization problem under the constraint that dividend rate is bounded. We prove that the value function fulfills the Hamilton-Jacobi-Bellman equation and we identify the optimal dividend strategy.

Keywords

Cite

@article{arxiv.1110.5446,
  title  = {Optimizing expected utility of dividend payments for a Cram\'er-Lundberg risk proces},
  author = {Zbigniew Palmowski and Sebastian Baran},
  journal= {arXiv preprint arXiv:1110.5446},
  year   = {2017}
}