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Effects of Background Risks on Cautiousness with an Application to a Portfolio Choice Problem

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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 provide necessary and sufficient conditions on an individual’s expected utility function under which any zero-mean idiosyncratic risk increases cautiousness (the derivative of the reciprocal of the absolute risk aversion), which is the key determinant for this individual’s demand for options and portfolio insurance.

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File URL: http://www.kier.kyoto-u.ac.jp/DP/DP654.pdf
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Publisher Info
Paper provided by Kyoto University, Institute of Economic Research in its series KIER Working Papers with number 654.

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Length: 27pages
Date of creation: Jun 2008
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Handle: RePEc:kyo:wpaper:654

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Related research
Keywords: Risk aversion; risk tolerance; cautiousness; portfolio insurance; 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

References listed on IDEAS
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  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. 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. [Downloadable!]
    Other versions:
  3. Kihlstrom, Richard E & Romer, David & Williams, Steve, 1981. "Risk Aversion with Random Initial Wealth," Econometrica, Econometric Society, vol. 49(4), pages 911-20, June. [Downloadable!] (restricted)
  4. 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)
  5. 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!]
  6. 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)
    Other versions:
  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)
    Other versions:
  8. Miles S. Kimball, 1991. "Precautionary Motives for Holding Assets," NBER Working Papers 3586, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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