Asymptotics for a discrete-time risk model with the emphasis on financial risk

Abstract

This paper focuses on a discrete-time risk model in which both insurance risk and financial risk are taken into account. We study the asymptotic behaviour of the ruin probability and the tail probability of the aggregate risk amount. Precise asymptotic formulas are derived under weak moment conditions on involved risks. The main novelty of our results lies in the quantification of the impact of the financial risk.