Optimal dividend payments for a two-dimensional insurance risk process

Pablo Azcue, Nora Muler and Zbigniew Palmowski

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Abstract: We consider a two-dimensional optimal dividend problem in the context of two branches of an insurance company with compound Poisson surplus processes dividing claims and premia in some specified proportions. We solve the stochastic control problem of maximizing expected cumulative discounted dividend payments (among all admissible dividend strategies) until ruin of at least one company. We prove that the value function is the smallest viscosity supersolution of the respective Hamilton-Jacobi-Bellman equation and we describe the optimal strategy. We analize some numerical examples.

Date: 2016-03, Revised 2018-04
New Economics Papers: this item is included in nep-ias
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