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What is the Consumption-CAPM missing? An informative-Theoretic Framework for the Analysis of Asset Pricing Models

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  • Anisha Ghosh

    ()

  • Christian Julliard

    ()

Abstract

We study a broad class of asset pricing models in which the stochastic discount factor (SDF) can be factorized into an observable component and a potentially unobservable, model-specific, one. Exploiting this decomposition we derive new entropy bounds that restrict the admissible regions for the SDF and its components. Without using this decomposition, to a second order approximation, entropy bounds are equivalent to the canonical Hansen-Jagannathan bounds. However, bounds based on our decomposition have higher information content, are tighter, and exploit the restriction that the SDF is a positive random variable. Our information-theoretic framework also enables us to extract a non-parametric estimate of the unobservable component of the SDF. Empirically, we find it to have a business cycle pattern, and significant correlations with both .nancial market crashes unrelated to economy-wide contractions, and the Fama-French factors. We apply our methodology to some leading consumption-based models, gaining new insights about their empirical performance.

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Bibliographic Info

Paper provided by Financial Markets Group in its series FMG Discussion Papers with number dp691.

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Date of creation: Oct 2011
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Handle: RePEc:fmg:fmgdps:dp691

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Web page: http://www.lse.ac.uk/fmg/

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  1. Backus, David & Chernov, Mikhail & Zin, Stanley E., 2011. "Sources of entropy in representative agent models," CEPR Discussion Papers 8488, C.E.P.R. Discussion Papers.
  2. Yacine Ait-Sahalia & Andrew W. Lo, 2000. "Nonparametric Risk Management and Implied Risk Aversion," NBER Working Papers 6130, National Bureau of Economic Research, Inc.
  3. Markus K. Brunnermeier & Christian Julliard, 2008. "Money Illusion and Housing Frenzies," Review of Financial Studies, Society for Financial Studies, vol. 21(1), pages 135-180, January.
  4. Stutzer, Michael, 1995. "A Bayesian approach to diagnosis of asset pricing models," Journal of Econometrics, Elsevier, vol. 68(2), pages 367-397, August.
  5. Joshua Rosenberg & Robert F. Engle, 2000. "Empirical Pricing Kernels," New York University, Leonard N. Stern School Finance Department Working Paper Seires 99-014, New York University, Leonard N. Stern School of Business-.
  6. Kitamura, Yuichi & Stutzer, Michael, 2002. "Connections between entropic and linear projections in asset pricing estimation," Journal of Econometrics, Elsevier, vol. 107(1-2), pages 159-174, March.
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