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On the Cross‐Sectional Relation between Expected Returns, Betas, and Size

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  • Robert R. Grauer

Abstract

In this paper, I set up scenarios where the mean‐variance capital asset pricing model is true and where it is false. Then I investigate whether the coefficients from regressions of population expected excess returns on population betas, and expected excess returns on betas and size, allow us to distinguish between the scenarios. I show that the coefficients from either ordinary least squares or generalized least squares regressions do not allow us to tell whether the model is true or false.

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  • Robert R. Grauer, 1999. "On the Cross‐Sectional Relation between Expected Returns, Betas, and Size," Journal of Finance, American Finance Association, vol. 54(2), pages 773-789, April.
    • Handle: RePEc:bla:jfinan:v:54:y:1999:i:2:p:773-789
    DOI: 10.1111/0022-1082.00125
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    Cited by:

    1. Murtazashvili, Irina & Vozlyublennaia, Nadia, 2012. "The performance of cross-sectional regression tests of the CAPM with non-zero pricing errors," Journal of Banking & Finance, Elsevier, vol. 36(4), pages 1057-1066.
    2. Grauer, Robert R. & Janmaat, Johannus A., 2004. "The unintended consequences of grouping in tests of asset pricing models," Journal of Banking & Finance, Elsevier, vol. 28(12), pages 2889-2914, December.
    3. Yuenan Wang & Amalia Di Iorio, 2007. "The cross-sectional relationship between stock returns and domestic and global factors in the Chinese A-share market," Review of Quantitative Finance and Accounting, Springer, vol. 29(2), pages 181-203, August.
    4. Semenov, Andrei, 2021. "Measuring the stock's factor beta and identifying risk factors under market inefficiency," The Quarterly Review of Economics and Finance, Elsevier, vol. 80(C), pages 635-649.
    5. Sainan Jin & Liangjun Su & Yonghui Zhang, 2015. "Nonparametric testing for anomaly effects in empirical asset pricing models," Empirical Economics, Springer, vol. 48(1), pages 9-36, February.
    6. Guermat, Cherif, 2014. "Yes, the CAPM is testable," Journal of Banking & Finance, Elsevier, vol. 46(C), pages 31-42.
    7. 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.
    8. Niedermayer, Daniel & Zimmermann, Heinz, 2007. "The Cross-Section of Positively Weighted Portfolios," Working papers 2007/15, Faculty of Business and Economics - University of Basel.

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