and the banking/insurance/reinsurance industry. Koch (2017) introduced a notion of spatial risk measure and a … the risk of extreme events since they appear as a natural extension of multivariate extreme-value theory to the level of …An accurate assessment of the risk of extreme environmental events is of great importance for populations, authorities …

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 …-continuous retained loss functions, the truncated stop-loss reinsurance is shown to be optimal. In contrast, under CVaR risk measure, the …