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Distance-Based Metrics: A Bayesian Solution to the Power and Extreme-Error Problems in Asset-Pricing Tests

Author

Listed:
  • Amit Goyal

    (University of Lausanne)

  • Zhongzhi Lawrence He

    (Brock University, Goodman School of Business)

  • Sahn-Wook Huh

    (State University of New York (SUNY) - Department of Finance)

Abstract

We propose a unified set of distance-based performance metrics that address the power and extreme-error problems inherent in traditional measures for asset-pricing tests. From a Bayesian perspective, the distance metrics coherently incorporate both pricing errors and their standard errors. Measured in units of return, they have an economic interpretation as the minimum cost of holding a dogmatic belief in a model. Our metrics identify Fama and French (2015) factor model (augmented with the momentum factor and/or without the value factor) as the best model and thus highlight the importance of the momentum factor. In contrast, the traditional alpha-based statistics often lead to inconsistent and counter-intuitive model rankings.

Suggested Citation

  • Amit Goyal & Zhongzhi Lawrence He & Sahn-Wook Huh, 2018. "Distance-Based Metrics: A Bayesian Solution to the Power and Extreme-Error Problems in Asset-Pricing Tests," Swiss Finance Institute Research Paper Series 18-78, Swiss Finance Institute.
  • Handle: RePEc:chf:rpseri:rp1878
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    Citations

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    Cited by:

    1. Ali, Fahad & Ülkü, Numan, 2021. "Quest for a parsimonious factor model in the wake of quality-minus-junk, misvaluation and Fama-French-six factors," Finance Research Letters, Elsevier, vol. 41(C).
    2. Svetlana Bryzgalova & Jiantao Huang & Christian Julliard, 2023. "Bayesian Solutions for the Factor Zoo: We Just Ran Two Quadrillion Models," Journal of Finance, American Finance Association, vol. 78(1), pages 487-557, February.

    More about this item

    Keywords

    Asset-Pricing Tests; Power Problem; Extreme-Error Problem; Distance-Based Metrics; Optimal Transport Theory; Bayesian Interpretations; Model Comparisons and Rankings;
    All these keywords.

    JEL classification:

    • C11 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Bayesian Analysis: General
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

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