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Multivariate Tests of Asset Pricing: The Comparative Power of Alternative Statistics

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  • Affleck-Graves, John
  • McDonald, Bill

Abstract

This paper examines estimation issues associated with multivariate tests of asset pricing. Two issues are considered: (1) the constraint that the sample size (N) must be less than the time series (T), and (2) the relative effect on power of using the multivariate statistic versus a univariate counterpart. We find that an alternative statistic that allows for large N does not dominate the usual portfolio tests. More notably, we find that the power of a simple diagonal statistic usually dominates the multivariate statistic for cases considered in this study.

Suggested Citation

  • Affleck-Graves, John & McDonald, Bill, 1990. "Multivariate Tests of Asset Pricing: The Comparative Power of Alternative Statistics," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 25(2), pages 163-185, June.
    • Handle: RePEc:cup:jfinqa:v:25:y:1990:i:02:p:163-185_00
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    Cited by:

    1. Dufour, Jean-Marie & Khalaf, Lynda, 2002. "Simulation based finite and large sample tests in multivariate regressions," Journal of Econometrics, Elsevier, vol. 111(2), pages 303-322, December.
    2. Sermin Gungor & Richard Luger, 2016. "Multivariate Tests of Mean-Variance Efficiency and Spanning With a Large Number of Assets and Time-Varying Covariances," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 34(2), pages 161-175, April.
    3. Bing Xiang, 1993. "The Choice of Return†Generating Models and Cross†Sectional Dependence in Event Studies," Contemporary Accounting Research, John Wiley & Sons, vol. 9(2), pages 365-394, March.
    4. Enrique Sentana, 2009. "The econometrics of mean-variance efficiency tests: a survey," Econometrics Journal, Royal Economic Society, vol. 12(3), pages 65-101, November.
    5. M Hashem Pesaran & Takashi Yamagata, 2024. "Testing for Alpha in Linear Factor Pricing Models with a Large Number of Securities," Journal of Financial Econometrics, Oxford University Press, vol. 22(2), pages 407-460.
    6. Hwang, Young-Soon & Min, Hong-Ghi & McDonald, Judith A. & Kim, Hwagyun & Kim, Bong-Han, 2010. "Using the credit spread as an option-risk factor: Size and value effects in CAPM," Journal of Banking & Finance, Elsevier, vol. 34(12), pages 2995-3009, December.
    7. M Hashem Pesaran & Takashi Yamagata, 2012. "Testing CAPM with a Large Number of Assets," Discussion Papers 12/05, Department of Economics, University of York.
    8. Pesaran, M. H. & Yamagata, T., 2012. "Testing CAPM with a Large Number of Assets (Updated 28th March 2012)," Cambridge Working Papers in Economics 1210, Faculty of Economics, University of Cambridge.
    9. Grauer, Robert R. & Janmaat, Johannus A., 2009. "On the power of cross-sectional and multivariate tests of the CAPM," Journal of Banking & Finance, Elsevier, vol. 33(5), pages 775-787, May.
    10. Gungor, Sermin & Luger, Richard, 2015. "Bootstrap Tests Of Mean-Variance Efficiency With Multiple Portfolio Groupings," L'Actualité Economique, Société Canadienne de Science Economique, vol. 91(1-2), pages 35-65, Mars-Juin.

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