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Approximate CAPM When Preferences Are CRRA

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Author Info
Herings,P. Jean-Jacques
Kubler,Felix (METEOR)

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Abstract

In general equilibrium models of financial markets, the cpital asset pricing formula does not hold when agents have von Neumann-Morgenstern utility with constant relative risk aversion. In this paper we examine under which conditions on endownments and dividens the pricing formula provides a good benchmark for equilibrium returns. While it is easy to construct examples where equilibrium returns are arbitrarily far from those predicted by CAPM, we show that there is a large class of economies where CAPM provides a very good approximation. Although the pricing formula does not hold exactly for the chosen specification, it turns out that pricing-errors are extremely small.

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Paper provided by Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization in its series Research Memoranda with number 064.

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Date of creation: 2003
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Handle: RePEc:dgr:umamet:2003064

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Keywords: Economics ;

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  1. Fama, Eugene F & French, Kenneth R, 1992. " The Cross-Section of Expected Stock Returns," Journal of Finance, American Finance Association, vol. 47(2), pages 427-65, June. [Downloadable!] (restricted)
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  3. Heaton, John & Lucas, Deborah J, 1996. "Evaluating the Effects of Incomplete Markets on Risk Sharing and Asset Pricing," Journal of Political Economy, University of Chicago Press, vol. 104(3), pages 443-87, June. [Downloadable!] (restricted)
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  4. Tversky, Amos & Kahneman, Daniel, 1992. " Advances in Prospect Theory: Cumulative Representation of Uncertainty," Journal of Risk and Uncertainty, Springer, vol. 5(4), pages 297-323, October.
  5. Berk, Jonathan B., 1997. "Necessary Conditions for the CAPM," Journal of Economic Theory, Elsevier, vol. 73(1), pages 245-257, March. [Downloadable!] (restricted)
  6. Herings,P. Jean-Jacques & Kubler,Felix, 2002. "Computing Equilibria in Finance Economies," Research Memoranda 010, Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization. [Downloadable!]
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  7. Mehra, Rajnish & Prescott, Edward C., 1985. "The equity premium: A puzzle," Journal of Monetary Economics, Elsevier, vol. 15(2), pages 145-161, March. [Downloadable!] (restricted)
  8. Robert F. Dittmar, 2002. "Nonlinear Pricing Kernels, Kurtosis Preference, and Evidence from the Cross Section of Equity Returns," Journal of Finance, American Finance Association, vol. 57(1), pages 369-403, 02. [Downloadable!] (restricted)
  9. Andrew Ang & Joseph Chen & Yuhang Xing, 2005. "Downside Risk," NBER Working Papers 11824, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  10. Magill, Michael & Shafer, Wayne, 1991. "Incomplete markets," Handbook of Mathematical Economics, in: W. Hildenbrand & H. Sonnenschein (ed.), Handbook of Mathematical Economics, edition 1, volume 4, chapter 30, pages 1523-1614 Elsevier. [Downloadable!] (restricted)
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