We introduce a class of quantile-based risk measures that generalize Value at Risk (VaR) and, likewise Expected … probability of occurrence. The corresponding risk measure, called Loss VaR (LVaR), determines the minimal capital injection that … and applications to capital adequacy, portfolio risk management and catastrophic risk are presented …

Risk transfer is a key risk and capital management tool for insurance companies. Transferring risk between insurers is … used to mitigate risk and manage capital re- quirements. We investigate risk transfer in the context of a network … demonstrate that the optimisation of profitability across the network can be achieved through risk transfer. Considering only …

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 …

reinsurance amounts are obtained under certain assumptions about the dependence structure …

Reinsurance is a versatile risk management strategy commonly employed by insurers to optimize their risk profile. In … this paper, we study an optimal reinsurance design problem minimizing a general law-invariant coherent risk measure of the … net risk exposure of a generic insurer, in conjunction with a general law-invariant comonotonic additive convex …

In this paper we consider the problem of optimal reinsurance design for general distortion risk measures and premiums …. In the first part of the paper, we find the Lagrangian dual of the primal optimal reinsurance problem and show the strong … duality holds. Therefore we characterize the optimal reinsurance policies by solving the dual problem and we will see that the …

modelling problems in insurance, finance, and other fields. Risk levels of a loss variable and its transforms are often measured … by risk measures. When only partial information on a loss variable is available, risk measures of the loss variable and …-case values of risk measures of a loss variable over an uncertainty set, describing all the possible distributions of the loss …