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On the Nature of Certainty Equivalent Functionals

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

Abstract

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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Bibliographic Info

Paper provided by Iowa State University, Department of Economics in its series Staff General Research Papers with number 12552.

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Date of creation: 23 Mar 2006
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Publication status: Published in Journal of Mathematical Economics, December 2006, vol. 43, pp. 1-10
Handle: RePEc:isu:genres:12552

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Postal: Iowa State University, Dept. of Economics, 260 Heady Hall, Ames, IA 50011-1070
Phone: +1 515.294.6741
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Web page: http://www.econ.iastate.edu
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  1. Gollier, Christian & Zeckhauser, Richard J, 2002. " Horizon Length and Portfolio Risk," Journal of Risk and Uncertainty, Springer, vol. 24(3), pages 195-212, May.
  2. 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.
  3. Christian Ghiglino & Marielle Olszak-Duquenne, 2004. "On the Impact of Heterogeneity on Indeterminacy," Research Papers by the Department of Economics, University of Geneva 2004.09, Département des Sciences Économiques, Université de Genève.
  4. Guiso, Luigi & Paiella, Monica, 2001. "Risk Aversion, Wealth and Background Risk," CEPR Discussion Papers 2728, C.E.P.R. Discussion Papers.
  5. 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.
  6. Gollier, Christian, 2001. "Wealth Inequality and Asset Pricing," Review of Economic Studies, Wiley Blackwell, vol. 68(1), pages 181-203, January.
  7. 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.
  8. Milgrom, Paul R & Weber, Robert J, 1982. "A Theory of Auctions and Competitive Bidding," Econometrica, Econometric Society, vol. 50(5), pages 1089-1122, September.
  9. Masao Ogaki & Qiang Zhang, 2000. "Decreasing Relative Risk Aversion and Tests of Risk Sharing," Econometric Society World Congress 2000 Contributed Papers 1588, Econometric Society.
  10. Athey, S., 1996. "Characterizing Properties of Stochastic Objective Functions," Working papers 96-1, Massachusetts Institute of Technology (MIT), Department of Economics.
  11. EECKHOUDT, Louis & Christian GOLLIER & Harris SCHLESINGER, 1994. "Changes in Background Risk and Risk Taking Behavior," Working Papers 005, Risk and Insurance Archive.
  12. Paul L. McEntire, 1984. "Portfolio Theory for Independent Assets," Management Science, INFORMS, vol. 30(8), pages 952-963, August.
  13. 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.
  14. Kimball, Miles S, 1993. "Standard Risk Aversion," Econometrica, Econometric Society, vol. 61(3), pages 589-611, May.
  15. 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.
  16. 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.
  17. 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.
  18. Matthew Rabin, 2000. "Risk Aversion and Expected-Utility Theory: A Calibration Theorem," Econometrica, Econometric Society, vol. 68(5), pages 1281-1292, September.
  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. 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.
  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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Cited by:
  1. Guiso, Luigi & Paiella, Monica, 2001. "Risk Aversion, Wealth and Background Risk," CEPR Discussion Papers 2728, C.E.P.R. Discussion Papers.
  2. 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.

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