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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

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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Web page: http://www.elsevier.com/locate/jmateco

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  1. Miles S. Kimball, 1991. "Standard Risk Aversion," NBER Technical Working Papers 0099, National Bureau of Economic Research, Inc.
  2. 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.
  3. Guiso, Luigi & Paiella, Monica, 2001. "Risk Aversion, Wealth and Background Risk," CEPR Discussion Papers 2728, C.E.P.R. Discussion Papers.
  4. Hara, C. & Christoph Kuzmics, 2004. "Representative Consumer's Risk Aversion and Efficient Risk-Sharing Rules," Cambridge Working Papers in Economics 0452, Faculty of Economics, University of Cambridge.
  5. 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.
  6. 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.
  7. Ogaki, Masao & Zhang, Qiang, 2001. "Decreasing Relative Risk Aversion and Tests of Risk Sharing," Econometrica, Econometric Society, vol. 69(2), pages 515-26, March.
  8. Christian Gollier & Richard J. Zeckhauser, 1997. "Horizon Length and Portfolio Risk," NBER Technical Working Papers 0216, National Bureau of Economic Research, Inc.
  9. 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.
  10. 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.
  11. Paul L. McEntire, 1984. "Portfolio Theory for Independent Assets," Management Science, INFORMS, vol. 30(8), pages 952-963, August.
  12. Matthew Rabin, 2001. "Risk Aversion and Expected-Utility Theory: A Calibration Theorem," Method and Hist of Econ Thought 0012001, EconWPA.
  13. 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.
  14. Gollier, C., 1997. "Wealth Inequality and Asset Pricing," Papers 97.486, Toulouse - GREMAQ.
  15. Paul Milgrom & Robert J. Weber, 1981. "A Theory of Auctions and Competitive Bidding," Discussion Papers 447R, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  16. Hennessy, David A. & Lapan, Harvey E., 2006. "On the Nature of Certainty Equivalent Functionals," Staff General Research Papers 12552, Iowa State University, Department of Economics.
  17. EECKHOUDT, Louis & Christian GOLLIER & Harris SCHLESINGER, 1994. "Changes in Background Risk and Risk Taking Behavior," Working Papers 005, Risk and Insurance Archive.
  18. Athey, S., 1996. "Characterizing Properties of Stochastic Objective Functions," Working papers 96-1, Massachusetts Institute of Technology (MIT), Department of Economics.
  19. 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.
  20. 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.
  21. 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.
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Cited by:
  1. 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.
  2. Hennessy, David A. & Lapan, Harvey E., 2006. "On the Nature of Certainty Equivalent Functionals," Staff General Research Papers 12552, Iowa State University, Department of Economics.
  3. Colin Lizieri & Gianluca Marcato & Paul Ogden & Andrew Baum, 2012. "Pricing Inefficiencies in Private Real Estate Markets Using Total Return Swaps," The Journal of Real Estate Finance and Economics, Springer, vol. 45(3), pages 774-803, October.

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