On the Optimal Dividend Problem in the Dual Model with Surplus-Dependent Premiums
Pricing of Securities
2016-05-17 v1 Optimization and Control
Abstract
This paper concerns the dual risk model, dual to the risk model for insurance applications, where premiums are surplus-dependent. In such a model premiums are regarded as costs, while claims refer to profits. We calculate the mean of the cumulative discounted dividends paid until ruin, if the barrier strategy is applied. We formulate associated Hamilton-Jacobi-Bellman equation and identify sufficient conditions for a barrier strategy to be optimal. Some numerical examples are provided when profits have exponential law.
Keywords
Cite
@article{arxiv.1605.04584,
title = {On the Optimal Dividend Problem in the Dual Model with Surplus-Dependent Premiums},
author = {Ewa Marciniak and Zbigniew Palmowski},
journal= {arXiv preprint arXiv:1605.04584},
year = {2016}
}