Using regular variation to define heavy tailed distributions, we show that prominent downside risk measures produce … similar and consistent ranking of heavy tailed risk. Thus regardless of the particular risk measure being used, assets will be …

In this paper we compare overall as well as downside risk measures with respect to the criteria of first and second … order stochastic dominance. While the downside risk measures, with the exception of tail conditional expectation, are … consistent with first order stochastic dominance, overall risk measures are not, even if we restrict ourselves to two …