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Increases in Risk Aversion and Portfolio Choice in a Complete Market

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Author Info
Philip H. Dybvig (Cowles Foundation, Yale University)

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Abstract

This note examines the effect of changes in risk aversion on the optimal portfolio choice in a complete market. It is shown that an agent who is less risk averse in the Pratt (1964) sense than another will choose a portfolio whose payoff is distributed as the other's payoff plus a nonnegative random variable plus conditional-mean-zero noise. The proof of the result uses simple first order conditions and basic results from stochastic dominance.

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File URL: http://cowles.econ.yale.edu/P/cd/d08b/d0859.pdf
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Publisher Info
Paper provided by Cowles Foundation, Yale University in its series Cowles Foundation Discussion Papers with number 859.

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Length: 10 pages
Date of creation: Feb 1988
Date of revision:
Handle: RePEc:cwl:cwldpp:859

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Postal: Yale University, Box 208281, New Haven, CT 06520-8281 USA
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Web page: http://cowles.econ.yale.edu/
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Postal: Cowles Foundation, Yale University, Box 208281, New Haven, CT 06520-8281 USA

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Related research
Keywords: Investments; portfolio theory; stochastic dominance; risk aversion; complete markets;

References listed on IDEAS
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  1. Hadar, Josef & Russell, William R, 1969. "Rules for Ordering Uncertain Prospects," American Economic Review, American Economic Association, vol. 59(1), pages 25-34, March. [Downloadable!] (restricted)
  2. Ross, Stephen A, 1981. "Some Stronger Measures of Risk Aversion in the Small and the Large with Applications," Econometrica, Econometric Society, vol. 49(3), pages 621-38, May. [Downloadable!] (restricted)
  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)
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