In this paper, we consider a risk model which allows the insurer to partially reflect the recent claim experience in the determination of the next period’s premium rate. In a ruin context, similar mechanisms to the one proposed in this paper have been studied by, e.g., Tsai and Parker (2004),...

In this paper, we propose a new drawdown-based regime-switching (DBRS) Lévy insurance model in which the underlying drawdown process is used to model an insurer’s level of financial distress over time, and to trigger regime-switching transitions. By some analytical arguments, we derive...

In ruin theory, an insurer’s income process is usually assumed to grow at a deterministic rate of c 0 over time. For instance, both the well-known Cramér-Lundberg risk process and the Sparre Andersen risk model have this assumption built in the construction of their respective surplus...