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On the nature of certainty equivalent functionals

  • Hennessy, David A.
  • Lapan, Harvey E.

We explore connections between the certainty equivalent return (CER) functional and the underlying utility function. Curvature properties of the functional depend upon how utility function attributes relate to hyperbolic absolute risk aversion (HARA) type utility functions. If the CER functional is concave, i.e., if risk tolerance is concave in wealth, then preferences are standard. The CER functional is linear in lotteries if utility is HARA and lottery payoffs are on a line in state space. Implications for the optimality of portfolio diversification are given. When utility is concave and non-increasing relative risk averse, then the CER functional is superadditive in lotteries. Depending upon the nature of association among lottery payoffs, CERs for constant absolute risk averse utility functions may be subadditive or superadditive in lotteries. Our approach lends itself to straightforward experiments to elicit higher order attributes on risk preferences.

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Article provided by Elsevier in its journal Journal of Mathematical Economics.

Volume (Year): 43 (2006)
Issue (Month): 1 (December)
Pages: 1-10

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Handle: RePEc:eee:mateco:v:43:y:2006:i:1:p:1-10
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  1. Gollier, Christian, 2002. "Time diversification, liquidity constraints, and decreasing aversion to risk on wealth," Journal of Monetary Economics, Elsevier, vol. 49(7), pages 1439-1459, October.
  2. Athey, S., 1996. "Characterizing Properties of Stochastic Objective Functions," Working papers 96-1, Massachusetts Institute of Technology (MIT), Department of Economics.
  3. Masao Ogaki & Qiang Zhang, 1998. "Decreasing Relative Risk Aversion and Tests of Risk Sharing," Working Papers 98-02, Ohio State University, Department of Economics.
  4. Luigi Guiso & Monica Paiella, 2007. "Risk Aversion, Wealth, and Background Risk," Economics Working Papers ECO2007/47, European University Institute.
  5. Hennessy, David A. & Lapan, Harvey E., 2006. "On the nature of certainty equivalent functionals," Journal of Mathematical Economics, Elsevier, vol. 43(1), pages 1-10, December.
  6. Masaaki Kijima, 1997. "The Generalized Harmonic Mean And A Portfolio Problem With Dependent Assets," Theory and Decision, Springer, vol. 43(1), pages 71-87, July.
  7. Eeckhoudt, Louis & Gollier, Christian & Schlesinger, Harris, 1996. "Changes in Background Risk and Risk-Taking Behavior," Econometrica, Econometric Society, vol. 64(3), pages 683-89, May.
  8. Hara, Chiaki & Huang, James & Kuzmics, Christoph, 2007. "Representative Consumer's Risk Aversion and Efficient Risk-Sharing Rules," Discussion Paper 323, Center for Intergenerational Studies, Institute of Economic Research, Hitotsubashi University.
  9. Matthew Rabin, 2000. "Risk Aversion and Expected-Utility Theory: A Calibration Theorem," Econometrica, Econometric Society, vol. 68(5), pages 1281-1292, September.
  10. Christian Ghiglino & Marielle Olszak-Duquenne, 2005. "On The Impact Of Heterogeneity On Indeterminacy," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 46(1), pages 171-188, 02.
  11. Miles S. Kimball, 1991. "Standard Risk Aversion," NBER Technical Working Papers 0099, National Bureau of Economic Research, Inc.
  12. Larry G. Epstein & Stephen M. Tanny, 1980. "Increasing Generalized Correlation: A Definition and Some Economic Consequences," Canadian Journal of Economics, Canadian Economics Association, vol. 13(1), pages 16-34, February.
  13. Milgrom, Paul R & Weber, Robert J, 1982. "A Theory of Auctions and Competitive Bidding," Econometrica, Econometric Society, vol. 50(5), pages 1089-1122, September.
  14. Gollier, Christian & Pratt, John W, 1996. "Risk Vulnerability and the Tempering Effect of Background Risk," Econometrica, Econometric Society, vol. 64(5), pages 1109-23, September.
  15. Gollier, Christian, 2001. "Wealth Inequality and Asset Pricing," Review of Economic Studies, Wiley Blackwell, vol. 68(1), pages 181-203, January.
  16. Samuelson, Paul A., 1967. "General Proof that Diversification Pays," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 2(01), pages 1-13, March.
  17. Paul L. McEntire, 1984. "Portfolio Theory for Independent Assets," Management Science, INFORMS, vol. 30(8), pages 952-963, August.
  18. David A. Hennessy & Harvey E. Lapan, 2003. "A Definition of 'More Systematic Risk' with Some Welfare Implications," Economica, London School of Economics and Political Science, vol. 70(279), pages 493-507, 08.
  19. Brumelle, Shelby L., 1974. "When Does Diversification between Two Investments Pay?," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 9(03), pages 473-483, June.
  20. Gollier, Christian & Zeckhauser, Richard J, 2002. " Horizon Length and Portfolio Risk," Journal of Risk and Uncertainty, Springer, vol. 24(3), pages 195-212, May.
  21. Qiang Zhang & Masao Ogaki, 2004. "Decreasing Relative Risk Aversion, Risk Sharing, and the Permanent Income Hypothesis," Journal of Business & Economic Statistics, American Statistical Association, vol. 22, pages 421-430, October.
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