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The Capital Asset Pricing Model as a General Equilibrium with Incomplete Markets

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Author Info
John Geanakoplos () (Cowles Foundation, Yale University)
Martin Shubik () (Cowles Foundation, Yale University)

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Abstract

We recast the capital asset pricing model (CAPM) in the broader context of general equilibrium with incomplete markets (GEI). In this setting we give proofs of three properties of CAPM equilibria: they are efficient, asset prices lie on a "security market line," and all agents hold the same two mutual funds. The first property requires a riskless asset, the latter two do not. We show that across all GEI only one of these three properties of equilibrium is generally valid: asset prices depend on covariances, not variances. We extend CAPM to many consumption goods in such a way that all three properties hold. But now the definition of a riskless asset depends on preferences and endowments, and so cannot be specified a priori.

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Publisher Info
Paper provided by Cowles Foundation, Yale University in its series Cowles Foundation Discussion Papers with number 913.

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Length: 34 pages
Date of creation: May 1989
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Publication status: Published in The Geneva Papers on Risk and Insurance Theory (May 1990), 15(1): 55-71
Handle: RePEc:cwl:cwldpp:913

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Postal: Cowles Foundation, Yale University, Box 208281, New Haven, CT 06520-8281 USA

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Related research
Keywords: Capital asset pricing model; incomplete markets; asset prices; CAPM; general equilibrium model;

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References listed on IDEAS
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.:
  1. Hart, Oliver D., 1975. "On the optimality of equilibrium when the market structure is incomplete," Journal of Economic Theory, Elsevier, vol. 11(3), pages 418-443, December. [Downloadable!] (restricted)
  2. Werner, Jan, 1985. "Equilibrium in economies with incomplete financial markets," Journal of Economic Theory, Elsevier, vol. 36(1), pages 110-119, June. [Downloadable!] (restricted)
  3. David Cass, 2006. "Competitive Equilibrium with Incomplete Financial Markets," PIER Working Paper Archive 06-010, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania. [Downloadable!]
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  4. Rubinstein, Mark, 1974. "An aggregation theorem for securities markets," Journal of Financial Economics, Elsevier, vol. 1(3), pages 225-244, September. [Downloadable!] (restricted)
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Cited by:
(explanations, 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.)

  1. Michael R. Powers & Martin Shubik, 1999. "Toward a Theory of Reinsurance and Retrocession," Cowles Foundation Discussion Papers 1227, Cowles Foundation, Yale University. [Downloadable!]
    Other versions:
  2. John Geanakoplos, 2003. "The Ideal Inflation Indexed Bond and Irving Fisher's Impatience Theory of Interest in an Overlapping Generations World," Cowles Foundation Discussion Papers 1429, Cowles Foundation, Yale University. [Downloadable!]
  3. Peter Bossaerts & Charles Plott & William R. Zame, 2006. "Prices and Portfolio Choices in Financial Markets: Theory and Experiment," Levine's Bibliography 122247000000001322, UCLA Department of Economics. [Downloadable!]
    Other versions:
  4. Palm, Franz C. & Smeekes, Stephan & Urbain, Jean-Pierre, 2006. "Bootstrap Unit Root Tests: Comparison and Extensions," Research Memoranda 015, Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization. [Downloadable!]
    Other versions:
  5. Robert J. Shiller, 1998. "Social Security and Institutions for Intergenerational, Intragenerational and International Risk Sharing," Cowles Foundation Discussion Papers 1185, Cowles Foundation, Yale University. [Downloadable!]
    Other versions:
  6. Gaël Giraud, 2004. "Walrasian non-tâtonnement with incomplete and imperfect markets," Cahiers de la Maison des Sciences Economiques b04119, Université Panthéon-Sorbonne (Paris 1). [Downloadable!]
  7. P. Jean-Jacques Herings & Felix Kubler, 2000. "The Robustness of the CAPM-A Computational Approach," Econometric Society World Congress 2000 Contributed Papers 0400, Econometric Society. [Downloadable!]
    Other versions:
  8. Péter Csóka & Jean-Jacques Herings & László Kóczy, 2006. "Coherent Measures of Risk from a General Equilibrium Perspective," IEHAS Discussion Papers 0611, Institute of Economics, Hungarian Academy of Sciences, revised 30 Aug 2006. [Downloadable!]
    Other versions:
  9. Thorsten Hens & Joerg Laitenberger & Andreas Loeffler, . "On Uniqueness of Equilibria in the CAPM - (This paper replaces "Existence and Uniqueness of Equilibria in the CAPM")," IEW - Working Papers iewwp039, Institute for Empirical Research in Economics - IEW. [Downloadable!]
  10. John Y. Campbell & Robert J. Shiller, 1996. "A Scorecard for Indexed Government Debt," NBER Working Papers 5587, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
    Other versions:
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