Quantifying the degree of risk aversion of spectral risk measures
I propose a functional on the space of spectral risk measures that quantifies their `degree of risk aversion''. This quantification formalizes the idea that some risk measures are `more risk-averse'' than others. I construct the functional using two axioms: a normalization on the space of CVaRs and a linearity axiom. I present two formulas for the functional and discuss several properties and interpretations.
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