A Mu-Sigma Risk Aversion Paradox and Wealth Dependent Utility.
We report a surprising property of mu-sigma-preferences: the assumption of nonincreasing relative risk aversion implies the optimal portfolio being riskless. We discuss a solution of that paradox using wealth dependent utility functions in detail. Using the revealed preference theory we show that (general, i.e. not necessary mu-sigma) wealth dependent utility functions can be characterized by Wald's axiom. Copyright 2001 by Kluwer Academic Publishers