On the nature of certainty equivalent functionals
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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- Gollier, C., 1997.
"Wealth Inequality and Asset Pricing,"
97.486, Toulouse - GREMAQ.
- Christian Gollier & Richard J. Zeckhauser, 1997.
"Horizon Length and Portfolio Risk,"
NBER Technical Working Papers
0216, National Bureau of Economic Research, Inc.
- 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.
- Monica Paiella & Luigi Guiso, 2004.
"Risk Aversion, Wealth and Background Risk,"
2004 Meeting Papers
525, Society for Economic Dynamics.
- Guiso, Luigi & Paiella, Monica, 2001. "Risk Aversion, Wealth and Background Risk," CEPR Discussion Papers 2728, C.E.P.R. Discussion Papers.
- 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.
- Luigi Guiso & Monica Paiella, 2007. "Risk Aversion, Wealth, and Background Risk," Economics Working Papers ECO2007/47, European University Institute.
- Chiaki Hara & James Huang & Christoph Kuzmics, 2006.
"Representative Consumer's Risk Aversion and Efficient Risk-Sharing Rules,"
KIER Working Papers
620, Kyoto University, Institute of Economic Research.
- Hara, Chiaki & Huang, James & Kuzmics, Christoph, 2007. "Representative consumer's risk aversion and efficient risk-sharing rules," Journal of Economic Theory, Elsevier, vol. 137(1), pages 652-672, November.
- 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.
- 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.
- Ogaki, Masao & Zhang, Qiang, 2001.
"Decreasing Relative Risk Aversion and Tests of Risk Sharing,"
Econometric Society, vol. 69(2), pages 515-26, March.
- Masao Ogaki & Qiang Zhang, 2000. "Decreasing Relative Risk Aversion and Tests of Risk Sharing," Econometric Society World Congress 2000 Contributed Papers 1588, Econometric Society.
- Masao Ogaki & Qiang Zhang, 1998. "Decreasing Relative Risk Aversion and Tests of Risk Sharing," Working Papers 98-02, Ohio State University, Department of Economics.
- 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.
- Kimball, Miles S, 1993.
"Standard Risk Aversion,"
Econometric Society, vol. 61(3), pages 589-611, May.
- Paul Milgrom & Robert J. Weber, 1981.
"A Theory of Auctions and Competitive Bidding,"
447R, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- 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.
- Matthew Rabin., 2000.
"Risk Aversion and Expected-Utility Theory: A Calibration Theorem,"
Economics Working Papers
E00-279, University of California at Berkeley.
- Matthew Rabin, 2000. "Risk Aversion and Expected-Utility Theory: A Calibration Theorem," Econometrica, Econometric Society, vol. 68(5), pages 1281-1292, September.
- Matthew Rabin, 2001. "Risk Aversion and Expected Utility Theory: A Calibration Theorem," Levine's Working Paper Archive 7667, David K. Levine.
- Matthew Rabin, 2001. "Risk Aversion and Expected-Utility Theory: A Calibration Theorem," Method and Hist of Econ Thought 0012001, EconWPA.
- Rabin, Matthew, 2000. "Risk Aversion and Expected-Utility Theory: A Calibration Theorem," Department of Economics, Working Paper Series qt731230f8, Department of Economics, Institute for Business and Economic Research, UC Berkeley.
- 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.
- 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.
- Paul L. McEntire, 1984. "Portfolio Theory for Independent Assets," Management Science, INFORMS, vol. 30(8), pages 952-963, August.
- Eeckhoudt, Louis & Gollier, Christian & Schlesinger, Harris, 1996.
"Changes in Background Risk and Risk-Taking Behavior,"
Econometric Society, vol. 64(3), pages 683-89, May.
- EECKHOUDT, Louis & Christian GOLLIER & Harris SCHLESINGER, 1994. "Changes in Background Risk and Risk Taking Behavior," Working Papers 005, Risk and Insurance Archive.
- 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.
- 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.
- Christian Ghiglino & Marielle Olszak-Duquenne, 2004. "On the Impact of Heterogeneity on Indeterminacy," Research Papers by the Institute of Economics and Econometrics, Geneva School of Economics and Management, University of Geneva 2004.09, Institut d'Economie et Econométrie, Université de Genève.
- 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.
- 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.
- 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.
- Athey, S., 1996. "Characterizing Properties of Stochastic Objective Functions," Working papers 96-1, Massachusetts Institute of Technology (MIT), Department of Economics.
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