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Representative Consumer's Risk Aversion and Efficient Risk-Sharing Rules

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Author Info
Hara, C.
Christoph Kuzmics

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Abstract

We study the representative consumer's risk attitude and efficient risk-sharing rules in a single-period, single-good economy in which consumers have homogeneous probabilistic beliefs but heterogeneous risk attitudes. We prove that if all consumers have convex absolute risk tolerance, so must the representative consumer. We also identify a relationship between the curvature of an individual consumer's individual risk sharing rule and his absolute cautiousness, the first derivative of absolute risk-tolerance. Some consequences of these results and refinements of these results for the class of HARA utility functions are discussed.

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Paper provided by Faculty of Economics, University of Cambridge in its series Cambridge Working Papers in Economics with number 0452.

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Length: 29
Date of creation: Jul 2004
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Handle: RePEc:cam:camdae:0452

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Related research
Keywords: aggregation; heterogeneous consumers; absolute risk tolerance; mutual fund theorm;

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Find related papers by JEL classification:
D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies
D58 - Microeconomics - - General Equilibrium and Disequilibrium - - - Computable and Other Applied General Equilibrium Models
D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
G12 - Financial Economics - - General Financial Markets - - - Asset Pricing
G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
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  4. Laurent Calvet ; Jean-Michel Grandmont ; Isabelle Lemaire, 2001. "Aggregation of Heterogenous Beliefs and Asset Pricing in Complete Financial Markets," Working Papers 2001-01, Centre de Recherche en Economie et Statistique. [Downloadable!]
  5. James Huang, 2003. "Impact of Divergent Consumer Confidence on Option Prices," Review of Derivatives Research, Springer, vol. 6(3), pages 165-177, October. [Downloadable!] (restricted)
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  7. Leland, Hayne E, 1980. " Who Should Buy Portfolio Insurance?," Journal of Finance, American Finance Association, vol. 35(2), pages 581-94, May. [Downloadable!] (restricted)
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  8. Gollier, Christian & Zeckhauser, Richard J, 2002. " Horizon Length and Portfolio Risk," Journal of Risk and Uncertainty, Springer, vol. 24(3), pages 195-212, May. [Downloadable!] (restricted)
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  9. Dumas, Bernard, 1989. "Two-Person Dynamic Equilibrium in the Capital Market," Review of Financial Studies, Oxford University Press for Society for Financial Studies, vol. 2(2), pages 157-88. [Downloadable!] (restricted)
  10. John Y. Campbell & John H. Cochrane, 1994. "By Force of Habit: A Consumption-Based Explanation of Aggregate Stock Market Behavior," CRSP working papers 412, Center for Research in Security Prices, Graduate School of Business, University of Chicago. [Downloadable!]
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  11. Ravi Jagannathan & Ellen R. McGrattan & Anna Scherbina., 2000. "The declining U.S. equity premium," Quarterly Review, Federal Reserve Bank of Minneapolis, issue Fall, pages 3-19. [Downloadable!]
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  12. Guiso, Luigi & Jappelli, Tullio & Terlizzese, Daniele, 1994. "Income Risk, Borrowing Constraints and Portfolio Choice," CEPR Discussion Papers 888, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
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  13. Benninga, Simon & Mayshar, Joram, 2000. "Heterogeneity and option pricing," Research Report 00E08, University of Groningen, Research Institute SOM (Systems, Organisations and Management). [Downloadable!]
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  17. Jiang, Wang, 1996. "The term structure of interest rates in a pure exchange economy with heterogeneous investors," Journal of Financial Economics, Elsevier, vol. 41(1), pages 75-110, May. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Gollier, Christian, 2003. "Who Should we Believe? Collective Risk-Taking Decisions with Heterogeneous Beliefs," IDEI Working Papers 201, Institut d'Économie Industrielle (IDEI), Toulouse. [Downloadable!]
  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.
    Other versions:
  3. Gollier, Chrsitian & Zeckhauser, Richard, 2003. "Collective Investment Decision Making with Heterogeneous Time Preferences," CESifo Working Paper Series CESifo Working Paper No. , CESifo Group Munich. [Downloadable!]
    Other versions:
  4. Christian Gollier, 2003. "Collective Risk-Taking Decisions with Heterogeneous Beliefs," CESifo Working Paper Series CESifo Working Paper No. , CESifo Group Munich. [Downloadable!]
  5. Christian Ghiglino & Alain Venditti, 2008. "The role of the wealth distribution on output volatility," Economics Discussion Papers 653, University of Essex, Department of Economics. [Downloadable!]
    Other versions:
  6. Chiaki Hara & James Huang & Christoph Kuzmics, 2008. "Effects of Background Risks on Cautiousness with an Application to a Portfolio Choice Problem," KIER Working Papers 654, Kyoto University, Institute of Economic Research. [Downloadable!]
    Other versions:
  7. repec:bep:thetop:v:7:y:2008:i:1:p:1394-1394 is not listed on IDEAS
  8. Chiaki Hara & James Huang & Christoph Kuzmics, 2006. "Efficient Risk-Sharing Rules with Heterogeneous Risk Attitudes and Background Risks," KIER Working Papers 621, Kyoto University, Institute of Economic Research. [Downloadable!]
  9. Chiaki Hara, 2005. "Heterogeneous Risk Attitudes in a Continuous-Time Model," KIER Working Papers 609, Kyoto University, Institute of Economic Research. [Downloadable!]
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