We analyze spectral risk measures with respect to comparative risk aversion following Arrow (1965) and Pratt (1964) on … widely-applied spectral Arrow-Pratt-measure is not a consistent measure of Arrow-Pratt-risk aversion. A decision maker with a … decision maker with a smaller spectral Arrow-Pratt-measure. We further show how a proper measure of Arrow-Pratt-risk aversion …

riskiness to continuous random variables. For many continuous random variables, the risk measure is equal to the worst-case risk … measure, i.e. the maximal possible loss incurred by that gamble. We also extend the Foster-Hart risk measure to dynamic …

This paper studies mean-risk portfolio selection in a one-period financial market, where risk is quantified by a star …-shaped risk measure ρ. We introduce two new axioms: weak and strong sensitivity to large losses. We show that the first axiom is … leads to a new class of risk measures that are suitable for portfolio selection. We show that ρ belongs to this class if and …

We introduce a family of Capital allocation rules (C.A.R) based on the dual representation for risk measures and … inspired to the Aumann-Shapley allocation principle. These rules extend the one of Denault and Kalkbrener (for coherent risk … measures) and the one of Tsanakas (convex case), to the case of non Gateaux differentiable risk measures. We also study their …

random variables. For many continuous random variables, the risk measure is equal to the worst--case risk measure, i.e. the …

We compare seven established risk elicitation methods and investigate how robustly they explain eleven kinds of risky … behavior with 760 individuals. Risk measures are positively correlated; however, their performance in explaining behavior is … heterogeneous and, therefore, difficult to assess ex ante. Greater diversification across risk measures is conducive to closing this …

This paper presents a new axiomatic characterization of risk measures that are additive for independent random … variables. In contrast to previous work, we include an axiom that guarantees monotonicity of the risk measure. Furthermore, the …. The risk measure characterized can be regarded as a mixed exponential premium. …

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 …

investment's Value-at-Risk as a reasonable calculation of the worst threat an action appears to make possible, and its return … offer. In exploring the extension of the Value-at-Risk approach from applications to investments in financial assets to … applications to investments in real assets, the properties of Value-at-Risk as a risk measure are reviewed. Recognizing that Value-at-Risk …

to incorporate information in the risk measurement and management process. In context of this dynamic setting we also …The question of measuring and managing systemic risk - especially in view of the recent financial crises - became more … and more important. We study systemic risk by taking the perspective of a financial regulator and considering the …