Optimal dividend payments for a two-dimensional insurance risk process
Optimization and Control
2018-04-12 v3 Portfolio Management
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.
Cite
@article{arxiv.1603.07019,
title = {Optimal dividend payments for a two-dimensional insurance risk process},
author = {Pablo Azcue and Nora Muler and Zbigniew Palmowski},
journal= {arXiv preprint arXiv:1603.07019},
year = {2018}
}