Insurance, Reinsurance and Dividend Payment
Pricing of Securities
2008-12-10 v1 Optimization and Control
Probability
Abstract
The aim of this paper is to introduce an insurance model allowing reinsurance and dividend payment. Our model deals with several homogeneous contracts and takes into account the legislation regarding the provisions to be justified by the insurance companies. This translates into some restriction on the (maximal) number of contracts the company is allowed to cover. We deal with a controlled jump process in which one has free choice of retention level and dividend amount. The value function is given as the maximized expected discounted dividends. We prove that this value function is a viscosity solution of some first-order Hamilton-Jacobi-Bellman variational inequality. Moreover, a uniqueness result is provided.
Keywords
Cite
@article{arxiv.0804.3900,
title = {Insurance, Reinsurance and Dividend Payment},
author = {D. Goreac},
journal= {arXiv preprint arXiv:0804.3900},
year = {2008}
}
Comments
26 pages, submitted