We show that if an agent is uncertain about the precise form of his utility function, his actual relative risk aversion may depend on wealth even if he knows his utility function lies in the class of constant relative risk aversion (CRRA) utility functions. We illustrate the consequences of this...

Little is known about the degree to which individuals are uncertain about their future Social Security benefits, how this varies within the U.S. population, and whether this uncertainty influences financial decisions related to retirement planning. To illuminate these issues, we present...

Should you buy a stock or a corporate bond? A common belief is that the Pratt-Arrow risk aversion measure gives the answer: a more risk averse investor will prefer more a corporate bond to a stock. However, this is not always true. In a simple portfolio problem with a riskless bond, a stock and...

This paper studies the aggregation of a downside risk measure introduced by Fishburn (1977). Properties of aggregated downside risk are examined and compared to classical risk measures such as standard deviation and value-at-risk. The notion of downside-efficient portfolios that maximize the...

We introduce a family of Capital allocation rules (C.A.R) based on the dual representation for risk measures and inspired to the Aumann-Shapley allocation principle. These rules extend the one of Denault and Kalkbrener (for coherent risk measures) and the one of Tsanakas (convex case), to the...