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Feb 14, 2023 at 19:34 comment added Jamie Ballingall The entropic risk measure (not to be confused with entropic value-at-risk) is an example of a risk measure that is convex but not coherent.
Dec 30, 2015 at 15:42 comment added Richi Wa Every coherent measure is convex. The reverse is not true (but maybe in a lot of cases ... still not in general).
Dec 30, 2015 at 15:41 comment added Richi Wa no, but if you have subadditivity and homogeneity then you automatically have a convex risk measure. This is what "implied" means. Coherent implies convex. Thus convex is more general.
Dec 30, 2015 at 15:05 comment added Elekko So a convex risk measure satisfies 3 axioms: convexity, subadditivity and homogeniety?
Dec 30, 2015 at 14:35 history answered Richi Wa CC BY-SA 3.0