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Approximate CAPM When Preferences are CRRA

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Author Info
P. Herings ()
Felix Kubler

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Abstract

In general equilibrium models of financial markets, the capital 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 endowments and dividends 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. Copyright Springer Science+Business Media, LLC 2007

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File URL: http://hdl.handle.net/10.1007/s10614-006-9061-3
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Publisher Info
Article provided by Springer in its journal Computational Economics.

Volume (Year): 29 (2007)
Issue (Month): 1 (February)
Pages: 13-31
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Handle: RePEc:kap:compec:v:29:y:2007:i:1:p:13-31

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Web page: http://www.springerlink.com/link.asp?id=100248

For technical questions regarding this item, or to correct its listing, contact: (Christopher F. Baum).

Related research
Keywords: asset pricing; general equilibrium; incomplete markets; D52; D58; G11; G12;

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References listed on IDEAS
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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)
  2. Levy, H & Markowtiz, H M, 1979. "Approximating Expected Utility by a Function of Mean and Variance," American Economic Review, American Economic Association, vol. 69(3), pages 308-17, June.
  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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