Paper: Some Mathematical Aspects of Combining Proportional and Non-proportional Reinsurance
by: Lourdes Centeno
Date: 1986
Abstract: This paper considers optimal reinsurance forms and limits in cases where the insurer has a choice between a pure quota-share treaty and an excess of loss treaty, or any combination of the two, and also, though in less detail, the situation where the insurer has a choice between a pure quota-share treaty and a stop loss treaty, or any combination of the two. Our criteria for optimality is divided in three groups: those involving moment functions of the retained risk, those involving the adjustment coefficient of the retained risk and those involving the expected utility (with respect to an exponential utility function) of the retained risk.