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Journal of Convex Analysis 22 (2015), No. 3, 603--626 Copyright Heldermann Verlag 2015 Risk Measures, Convexity, and Max-Min Shortfalls Sjur Didrik Flåm Economics Department, University of Bergen, 5020 Bergen, Norway sjur.flaam@econ.uib.no Monetary risk measures are studied here in terms of acceptable outcomes, normalized non-negative prices, and resulting shortfalls. At center stage stand convex analysis, saddle functions and associated max-min formulae. The latter comply with common sense and established theory. Keywords: Convex risk measures, normalized prices, max-min shortfall, asset pricing, ambiguity aversion. MSC: 46N10, 47H07, 91B30, 91G80 [ Fulltext-pdf (233 KB)] for subscribers only. |