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

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Author Info
Chiaki Hara () (Institute of Economic Research, Kyoto University)
James Huang () (Department of Accounting and Management, Lancaster University Management School)
Christoph Kuzmics () (MEDS, Kellogg School of Management, Northwestern University)

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Abstract

We study the representative consumer’s risk attitude and efficient risk-sharing rules in a singleperiod, 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. Furthermore, we discuss some consequences of these results and refinements of these results for the class of HARA utility functions.

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Publisher Info
Paper provided by Kyoto University, Institute of Economic Research in its series KIER Working Papers with number 620.

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Length: 26pages
Date of creation: May 2006
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Handle: RePEc:kyo:wpaper:620

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Related research
Keywords: Aggregation; heterogeneous consumers; absolute risk tolerance; mutual fund theorem.;

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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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    Other versions:
  2. 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!]
    Other versions:
  3. Robert B. Barsky & Miles S. Kimball & F. Thomas Juster & Matthew D. Shapiro, 1997. "Preference Parameters and Behavioral Heterogeneity: An Experimental Approach in the Health and Retirement Survey," NBER Working Papers 5213, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  5. 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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  11. 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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  13. Guenter Franke & Richard C. Stapleton & Marti G. Subrahmanyam, 1999. "When are Options Overpriced? The Black-Scholes Model and Alternative Characterisations of the Pricing Kernel," Finance 9904004, EconWPA. [Downloadable!]
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Full references

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, 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:
  2. Christian Gollier, 2003. "Collective Risk-Taking Decisions with Heterogeneous Beliefs," CESifo Working Paper Series CESifo Working Paper No. , CESifo Group Munich. [Downloadable!]
  3. 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!]
  4. repec:bep:thetop:v:7:y:2008:i:1:p:1394-1394 is not listed on IDEAS
  5. 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!]
  6. Chiaki Hara, 2005. "Heterogeneous Risk Attitudes in a Continuous-Time Model," KIER Working Papers 609, Kyoto University, Institute of Economic Research. [Downloadable!]
  7. 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:
  8. 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:
  9. 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:
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