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Efficient Risk-Sharing Rules with Heterogeneous Risk Attitudes and Background Risks

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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

In an exchange economy in which there is a complete set of markets for macroeconomic risks but no market for idiosyncratic risks, we consider how the efficient risk-sharing rules for the macroeconomic risk are affected by the heterogeneity in the consumers’ risk attitudes and idiosyncratic risks. We provide sufficient conditions under which an idiosyncratic risk increases cautiousness (the derivative of the reciprocal of the absolute risk aversion), the determinant of the curvatures of the efficient risk-sharing rules. While the curvature of the risk-sharing rules at high consumption levels are governed by the consumers’ risk attitudes, the curvature at low consumption levels depend not only on the risk attitudes but also on the lower tail distributions of the idiosyncratic risks.

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Publisher Info
Paper provided by Kyoto University, Institute of Economic Research in its series KIER Working Papers with number 621.

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Length: 30pages
Date of creation: May 2006
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Handle: RePEc:kyo:wpaper:621

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Related research
Keywords: Efficient risk-sharing rules; relative risk aversion; absolute risk tolerance; Inada condition; idiosyncratic risks; background risks; incomplete markets.;

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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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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 & Pratt, John W, 1996. "Risk Vulnerability and the Tempering Effect of Background Risk," Econometrica, Econometric Society, vol. 64(5), pages 1109-23, September. [Downloadable!] (restricted)
  2. David K. Levine & William Zame, 2001. "Does Market Incompleteness Matter," Levine's Working Paper Archive 78, David K. Levine. [Downloadable!]
    Other versions:
  3. Franke, Gunter & Stapleton, Richard C. & Subrahmanyam, Marti G., 1998. "Who Buys and Who Sells Options: The Role of Options in an Economy with Background Risk," Journal of Economic Theory, Elsevier, vol. 82(1), pages 89-109, September. [Downloadable!] (restricted)
  4. Brennan, M.J. & Solanki, R., 1981. "Optimal Portfolio Insurance," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 16(03), pages 279-300, September. [Downloadable!]
  5. Chiaki Hara, 2006. "Heterogeneous Risk Attitudes In A Continuous-Time Model," The Japanese Economic Review, Japanese Economic Association, vol. 57(3), pages 377-405. [Downloadable!] (restricted)
  6. Felix Kubler & Karl Schmedders, 2000. "Incomplete Markets, Transitory Shocks, and Welfare," Discussion Papers 1285, Northwestern University, Center for Mathematical Studies in Economics and Management Science. [Downloadable!]
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  7. Kimball, Miles S, 1990. "Precautionary Saving in the Small and in the Large," Econometrica, Econometric Society, vol. 58(1), pages 53-73, January. [Downloadable!] (restricted)
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  8. Philippe Weil, 1992. "Equilibrium Asset Prices With Undiversifiable Labor Income Risk," NBER Working Papers 3975, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  9. 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. [Downloadable!]
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  10. 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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  11. Günter Franke & Harris Schlesinger & Richard C. Stapleton, 2003. "Multiplicative Background Risk," CoFE Discussion Paper 03-05, Center of Finance and Econometrics, University of Konstanz. [Downloadable!]
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Cited by:
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  1. 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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