Euler equation errors

Martin Lettau, Sydney Ludvigson

    Research output: Contribution to journalArticle

    Abstract

    The standard, representative agent, consumption-based asset pricing theory based on CRRA utility fails to explain the average returns of risky assets. When evaluated on cross-sections of stock returns, the model generates economically large unconditional Euler equation errors. Unlike the equity premium puzzle, these large Euler equation errors cannot be resolved with high values of risk aversion. To explain why the standard model fails, we need to develop alternative models that can rationalize its large pricing errors. We evaluate whether four newer theories at the vanguard of consumption-based asset pricing can explain the large Euler equation errors of the standard consumption-based model. In each case, we find that the alternative theory counterfactually implies that the standard model has negligible Euler equation errors. We show that the models miss on this dimension because they mischaracterize the joint behavior of consumption and asset returns in recessions, when aggregate consumption is falling. By contrast, a simple model in which aggregate consumption growth and stockholder consumption growth are highly correlated most of the time, but have low or negative correlation in severe recessions, produces violations of the standard model's Euler equations and departures from joint lognormality that are remarkably similar to those found in the data.

    Original languageEnglish (US)
    Pages (from-to)255-283
    Number of pages29
    JournalReview of Economic Dynamics
    Volume12
    Issue number2
    DOIs
    StatePublished - Apr 2009

    Fingerprint

    Euler equations
    Consumption growth
    Recession
    Aggregate consumption
    Consumption-based asset pricing
    Risk aversion
    Pricing errors
    Asset returns
    Violations
    Stockholders
    Representative agent
    Assets
    Alternative models
    Equity premium puzzle
    Cross-section of stock returns

    Keywords

    • Equity premium puzzle
    • Euler equation
    • Pricing errors
    • Recessions

    ASJC Scopus subject areas

    • Economics and Econometrics

    Cite this

    Euler equation errors. / Lettau, Martin; Ludvigson, Sydney.

    In: Review of Economic Dynamics, Vol. 12, No. 2, 04.2009, p. 255-283.

    Research output: Contribution to journalArticle

    Lettau, M & Ludvigson, S 2009, 'Euler equation errors', Review of Economic Dynamics, vol. 12, no. 2, pp. 255-283. https://doi.org/10.1016/j.red.2008.11.004
    Lettau, Martin ; Ludvigson, Sydney. / Euler equation errors. In: Review of Economic Dynamics. 2009 ; Vol. 12, No. 2. pp. 255-283.
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