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 …

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 …

We introduce and study the main properties of a class of convex risk measures that refine Expected Shortfall by … adjusted Expected Shortfalls quantify risk as the minimum amount of capital that has to be raised and injected into a financial … probability level p\in[0,1]. Through the choice of the benchmark risk profile g one can tailor the risk assessment to the specific …

Monetary risk measures classify a financial position by the minimal amount of external capital that must be added to … the position to make it acceptable.We propose a new concept: intrinsic risk measures. The definition via external capital … is avoided and only internal resources appear. An intrinsic risk measure is defined by the smallest percentage of the …

We investigate how the spectral risk measure associated with holding stocks rather than a risk-free deposit, depends on … the holding period. Previous papers have shown that within a limited class of spectral risk measures, and when the stock … price follows specific processes, spectral risk becomes negative at long periods. We generalize this result for arbitrary …

We discuss risk measures representing the minimum amount of capital a financial institution needs to raise and invest …-additive risk measures, for which the eligible asset is a risk-free bond, on the grounds that the general case can be reduced to the … provide a variety of finiteness and continuity results for the corresponding risk measures and apply them to risk measures …