Stochastic discounting models are generally recognized as extremely strong analytical tools for a very wide variety of fundamental areas in the actuarial discipline. The paper is mainly devoted to the formulation, investigation and application in the actuarial discipline of a stochastic...

This paper is concerned with an insurance risk model whose claim process is described by a Lévy subordinator process. Lévy-type risk models have been the object of much research in recent years. Our purpose is to present, in the case of a subordinator, a simple and direct method for...