Recent developments in ruin theory have seen the growing popularity of jump diffusion processes in modeling an insurer's assets and liabilities. Despite the variations of technique, the analysis of ruin-related quantities mostly relies on solutions to certain differential equations. In this...

This paper considers the optimal dividend payment problem in piecewise-deterministic compound Poisson risk models. The objective is to maximize the expected discounted dividend payout up to the time of ruin. We provide a comparative study in this general framework of both restricted and...

Exponential functionals of Brownian motion have been extensively studied in nancial and insurance mathematics due to their broad applications, for example, in the pricing of Asian options. The Black-Scholes model is appealing because of mathematical tractability, yet empirical evidence shows...

It is fairly common in developed economies that a small set of insurers with large capitalization often account for the majority of their insurance markets. While tight regulations of the insurance industry are well-intended to protect the interests of policyholders and ensure market stability,...

Peer-to-peer insurance models combine insurer's underwriting with peers' risk sharing. This paper presents a mathematical formulation of two emerging peer-to-peer insurance models: the individual-covered model and the group-covered model, and establishes their equivalence for a homogeneous...

Downgrade-triggered termination clause is a recent innovation in credit risk management to control counterparty credit risk. It allows one party of an over-the-counter derivative to close off its position at marked-to-market price when the other party's credit rating downgrades to an agreed...