Centro de Documentacion de Fundación MAPFRE - On the risk consistency and monotonicity of ruin theory

Notas: Sumario: Setting a proper minimum capital requirement is one of the most fundamental problems in the insurance industry. Ruin theory proposes a solution to this problem by identifying the minimum capital that a company needs to hold in order to stay solvent with a high probability. In this note we discuss the ruin theory risk consistency. More precisely we show that the ruin-consistent Value-at-Risk (VaR) is not continuous in probability, in Lp,0=p<8, and in weak convergence. Furthermore, it is not a monotone measure of risk.Registros relacionados: En: European Actuarial Journal. - Cham, Switzerland : Springer Nature Switzerland AG, 2021-2022. - 06/12/2021 Volúmen 11 - Número 2 - diciembre 2021 , p. 709-715Materia / lugar / evento: Evaluación de riesgos Probabilidad de ruina Cálculo actuarial Otros autores: Constantinescu, Corina
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