In this paper, we study two classes of optimal reinsurance models by minimizing the total risk exposure of an insurer under the criteria of value at risk (VaR) and conditional value at risk (CVaR). We assume that the reinsurance premium is calculated according to the expected value principle....

To control downside risk of a defined benefit (DB) pension plan arising from unexpected mortality improvements and severe market turbulence, this paper proposes an optimization model by imposing two conditional value at risk (CVaR) constraints to control tail risks of pension funding status and...