Purpose The authors consider the mutual benefits of the ceding company and reinsurance company in the design of reinsurance contracts. Two objective functions to maximize social expected utilities are established, which are to maximize the sum of the expected utilities of both the ceding company...

In this article, we discuss the determination of the optimal capital level under the consideration of systemic risk. We establish several models for calculating optimal capital level in different conditions including without constraint, with constraints of the value of systemic risk (STVaR) and...

In this paper, we discuss how to determine the optimal investment portfolio and reinsurance strategy of insurance company based on zero-sum stochastic differential game between the market and the insurer. We extend Zhang and Siu (2009)’s model by (1) including a risk-free asset, (2)...

In this article, we discuss whether and when the risk taking and moral hazard is beneficial to the insured and to the society as well. We establish model by stochastic optimal control theory. We obtain the optimal levels of risk taking and moral hazard from perspectives of the insured and the...