To manage the risk of insurance companies, a reinsurance transaction is among the myriad risk management mechanisms the top ranked choice. In this paper, we study the design of optimal reinsurance contracts within a risk measure minimization framework and subject to the Vajda condition. The...

This paper studies an optimal reinsurance problem of Pareto-optimality when the contract is subject to default of the reinsurer. We assume that the reinsurer can invest a share of its wealth in a risky asset and default occurs when the reinsurer's end-of-period wealth is insufficient to cover...

This paper studies a bilateral risk-sharing problem where both agents are rank-dependent utility maximizers. The market restricts risk allocations to be comonotonic. We first characterize the optimal risk allocation in an implicit way through the calculus of variations. Then, based on the...

This paper studies the Bowley solution for a sequential game within the expected utility framework. We assume that the policyholders are expected utility maximizers, and there exists a representative policyholder who faces a fixed loss with given probability and no loss otherwise. This...

This paper studies the optimal insurance design from the perspective of an insured when there is possibility for the insurer to default on its promised indemnity. Default of the insurer leads to limited liability, and the promised indemnity is only partially recovered in case of a default. To...