Approximate CAPM When Preferences Are CRRA
AbstractIn 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.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoPaper provided by Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization in its series Research Memoranda with number 064.
Date of creation: 2003
Date of revision:
Contact details of provider:
Web page: http://www.maastrichtuniversity.nl/web/UMPublications.htm
Other versions of this item:
- Herings, P. Jean-Jacques & Kubler, Felix, 2007. "Approximate CAPM when preferences are CRRA," Open Access publications from Maastricht University urn:nbn:nl:ui:27-12150, Maastricht University.
- D52 - Microeconomics - - General Equilibrium and Disequilibrium - - - Incomplete Markets
- D58 - Microeconomics - - General Equilibrium and Disequilibrium - - - Computable and Other Applied General Equilibrium Models
- G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
- G12 - Financial Economics - - General Financial Markets - - - Asset Pricing
This paper has been announced in the following NEP Reports:
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.:
- 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.
- 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.
- Andrew Ang & Joseph Chen & Yuhang Xing, 2006.
Review of Financial Studies,
Society for Financial Studies, vol. 19(4), pages 1191-1239.
- Herings,P. Jean-Jacques & Kubler,Felix, 2000.
"Computing Equilibria in Finance Economies,"
010, Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization.
- 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.
- Herings, P. Jean-Jacques & Kubler, Felix, 2002. "Computing equilibria in finance economies," Open Access publications from Maastricht University urn:nbn:nl:ui:27-12170, Maastricht University.
- P.J.J. Herings & F. Kubler, 2001. "Computing Equilibria in Finance Economies," GE, Growth, Math methods 0205003, EconWPA.
- 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.
- John Heaton & Deborah Lucas, 1993.
"Evaluating the Effects of Incomplete Markets on Risk Sharing and Asset Pricing,"
NBER Working Papers
4249, National Bureau of Economic Research, Inc.
- 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.
- 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.
- 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.
- Berk, Jonathan B., 1997. "Necessary Conditions for the CAPM," Journal of Economic Theory, Elsevier, vol. 73(1), pages 245-257, March.
- R. Mehra & E. Prescott, 2010.
"The equity premium: a puzzle,"
Levine's Working Paper Archive
1401, David K. Levine.
- John Geanakoplos & Martin Shubik, 1989. "The Capital Asset Pricing Model as a General Equilibrium with Incomplete Markets," Cowles Foundation Discussion Papers 913, Cowles Foundation for Research in Economics, Yale University.
- Talman, A.J.J. & Thijssen, J.J.J., 2006.
"Existence of equilibrium and price adjustments in a finance economy with incomplete markets,"
Journal of Mathematical Economics,
Elsevier, vol. 42(3), pages 255-268, June.
- Talman, A.J.J. & Thijssen, J.J.J., 2003. "Existence of Equilibrium and Price Adjustments in a Finance Economy with Incomplete Markets," Discussion Paper 2003-79, Tilburg University, Center for Economic Research.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Charles Bollen).
If references are entirely missing, you can add them using this form.