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Risk aversion under preference uncertainty

  • Kräussl, Roman
  • Lucas, André
  • Siegmann, Arjen

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 result for asset allocation: poor agents that are uncertain about their risk aversion parameter invest less in risky assets than wealthy investors with identical risk aversion uncertainty.

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Paper provided by Center for Financial Studies (CFS) in its series CFS Working Paper Series with number 2010/24.

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Date of creation: 2010
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Handle: RePEc:zbw:cfswop:201024
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  1. Masao Ogaki & Qiang Zhang, 1998. "Decreasing Relative Risk Aversion and Tests of Risk Sharing," Working Papers 98-02, Ohio State University, Department of Economics.
  2. Elke U. Weber & Richard A. Milliman, 1997. "Perceived Risk Attitudes: Relating Risk Perception to Risky Choice," Management Science, INFORMS, vol. 43(2), pages 123-144, February.
  3. Ariel Rubinstein, 2010. "Perfect Equilibrium in a Bargaining Model," Levine's Working Paper Archive 252, David K. Levine.
  4. Luigi Guiso & Monica Paiella, 2003. "Risk Aversion, Wealth and Background Risk," Temi di discussione (Economic working papers) 483, Bank of Italy, Economic Research and International Relations Area.
  5. Peter Klibanoff & Massimo Marinacci & Sujoy Mukerji, 2002. "A smooth model of decision making under ambiguity," ICER Working Papers - Applied Mathematics Series 11-2003, ICER - International Centre for Economic Research, revised Apr 2003.
  6. Markus K. Brunnermeier & Jonathan A. Parker, 2002. "Optimal expectations," LSE Research Online Documents on Economics 24954, London School of Economics and Political Science, LSE Library.
  7. Valery Polkovnichenko, 2007. "Life-Cycle Portfolio Choice with Additive Habit Formation Preferences and Uninsurable Labor Income Risk," Review of Financial Studies, Society for Financial Studies, vol. 20(1), pages 83-124, January.
  8. Merton, Robert C., 1971. "Optimum consumption and portfolio rules in a continuous-time model," Journal of Economic Theory, Elsevier, vol. 3(4), pages 373-413, December.
  9. Steffen Andersen & Glenn W. Harrison & Morten I. Lau & E. Elisabet Rutström, 2008. "Lost In State Space: Are Preferences Stable?," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 49(3), pages 1091-1112, 08.
  10. G. Cornelis van Kooten & Emina Krcmar & Erwin H. Bulte, 2001. "Preference Uncertainty in Non-Market Valuation: A Fuzzy Approach," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 83(3), pages 487-500.
  11. Heaton, John & Lucas, Deborah, 2000. "Portfolio Choice in the Presence of Background Risk," Economic Journal, Royal Economic Society, vol. 110(460), pages 1-26, January.
  12. Roland Bénabou & Jean Tirole, 2002. "Self-Confidence And Personal Motivation," The Quarterly Journal of Economics, MIT Press, vol. 117(3), pages 871-915, August.
  13. Akter, Sonia & Bennett, Jeff & Akhter, Sanzida, 2008. "Preference uncertainty in contingent valuation," Ecological Economics, Elsevier, vol. 67(3), pages 345-351, October.
  14. Peter Klibanoff & Massimo Marinacci & Sujoy Mukerji, 2006. "Recursive Smooth Ambiguity Preferences," Carlo Alberto Notebooks 17, Collegio Carlo Alberto, revised 2008.
  15. Gregory W. Fischer & Mary Frances Luce & Jianmin Jia, 2000. "Attribute Conflict and Preference Uncertainty: Effects on Judgment Time and Error," Management Science, INFORMS, vol. 46(1), pages 88-103, January.
  16. Li Chuan-Zhong & Mattsson Leif, 1995. "Discrete Choice under Preference Uncertainty: An Improved Structural Model for Contingent Valuation," Journal of Environmental Economics and Management, Elsevier, vol. 28(2), pages 256-269, March.
  17. Levy, Haim, 1994. "Absolute and Relative Risk Aversion: An Experimental Study," Journal of Risk and Uncertainty, Springer, vol. 8(3), pages 289-307, May.
  18. Joao F. Cocco, 2005. "Consumption and Portfolio Choice over the Life Cycle," Review of Financial Studies, Society for Financial Studies, vol. 18(2), pages 491-533.
  19. Bodie, Zvi & Detemple, Jerome B. & Otruba, Susanne & Walter, Stephan, 2004. "Optimal consumption-portfolio choices and retirement planning," Journal of Economic Dynamics and Control, Elsevier, vol. 28(6), pages 1115-1148, March.
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