This paper unifies the work on multiple reinsurers, distortion risk measures, premium budgets,and heterogeneous beliefs. An insurer minimizes a distortion risk measure, while seekingreinsurance with finitely many reinsurers. The reinsurers use distortion premium principles, andthey are allowed...

This paper examines the consequences for a life annuity insurance company if the Solvency II Solvency Capital Requirements (SCR) are calibrated based on Expected Shortfall (ES) instead of Value-at-Risk (VaR). We focus on the risk modules of the SCRs for the three risk classes equity risk,...

In this paper, we consider a one-period optimal reinsurance design model with n reinsurers and an insurer. For very general preferences of the insurer, we obtain that there exists a very intuitive pricing formula for all reinsurers that use a distortion premium principle. The insurer determines...

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...