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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.

Suggested Citation

  • Anisha Ghosh & Christian Julliard, 2011. "What is the Consumption-CAPM missing? An informative-Theoretic Framework for the Analysis of Asset Pricing Models," FMG Discussion Papers dp691, Financial Markets Group.
  • Handle: RePEc:fmg:fmgdps:dp691
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    Cited by:

    1. Gospodinov, Nikolay & Kan, Raymond & Robotti, Cesare, 2017. "Too Good to Be True? Fallacies in Evaluating Risk Factor Models," FRB Atlanta Working Paper 2017-9, Federal Reserve Bank of Atlanta.
    2. Taisuke Otsu & Chen Qiu, 2018. "Information theoretic approach to high dimensional multiplicative models: Stochastic discount factor and treatment effect," STICERD - Econometrics Paper Series 595, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
    3. Gospodinov, Nikolay & Maasoumi, Esfandiar, 2017. "General Aggregation of Misspecified Asset Pricing Models," FRB Atlanta Working Paper 2017-10, Federal Reserve Bank of Atlanta.

    More about this item

    JEL classification:

    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing
    • C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation, Validation, and Selection

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