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On the power of cross-sectional and multivariate tests of the CAPM

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  • Grauer, Robert R.
  • Janmaat, Johannus A.

Abstract

This paper examines the power of the cross-sectional and multivariate tests of the CAPM under ideal conditions. When the CAPM is true the positively weighted market portfolio is MV-efficient and securities plot on the security market line. When the CAPM is false an alternative asset pricing model determines prices. An examination of the population intercepts, slopes and R2 from cross-sectional regressions of expected returns on betas indicates that all three are unreliable indicators of whether the CAPM holds. Simulation analysis of the power of the cross-sectional tests expands on and reinforces the analysis based on the population values. The Gibbons et al. (1989) multivariate test fares much better.

Suggested Citation

  • 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.
  • Handle: RePEc:eee:jbfina:v:33:y:2009:i:5:p:775-787
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    Cited by:

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    2. Lozano, Martín & Rubio, Gonzalo, 2011. "Evaluating alternative methods for testing asset pricing models with historical data," Journal of Empirical Finance, Elsevier, vol. 18(1), pages 136-146, January.
    3. Murtazashvili, Irina & Vozlyublennaia, Nadia, 2012. "The role of data limitations, seasonality and frequency in asset pricing models," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 22(3), pages 555-574.
    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. 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.
    6. Ferreira, Eva & Gil-Bazo, Javier & Orbe, Susan, 2011. "Conditional beta pricing models: A nonparametric approach," Journal of Banking & Finance, Elsevier, vol. 35(12), pages 3362-3382.
    7. Yacine Hammami, 2014. "An empirical investigation of asset pricing models under divergent lending and borrowing rates," Financial Markets and Portfolio Management, Springer;Swiss Society for Financial Market Research, vol. 28(3), pages 263-279, August.
    8. Raymond Kan & Cesare Robotti & Jay Shanken, 2013. "Pricing Model Performance and the Two‐Pass Cross‐Sectional Regression Methodology," Journal of Finance, American Finance Association, vol. 68(6), pages 2617-2649, December.
    9. Balduzzi, Pierluigi & Robotti, Cesare, 2008. "Mimicking Portfolios, Economic Risk Premia, and Tests of Multi-Beta Models," Journal of Business & Economic Statistics, American Statistical Association, vol. 26, pages 354-368.
    10. Levy, Moshe & Levy, Haim, 2015. "Keeping up with the Joneses and optimal diversification," Journal of Banking & Finance, Elsevier, vol. 58(C), pages 29-38.
    11. Ahn, Seung C. & Perez, M. Fabricio & Gadarowski, Christopher, 2013. "Two-pass estimation of risk premiums with multicollinear and near-invariant betas," Journal of Empirical Finance, Elsevier, vol. 20(C), pages 1-17.
    12. Darolles, Serge & Gourieroux, Christian, 2010. "Conditionally fitted Sharpe performance with an application to hedge fund rating," Journal of Banking & Finance, Elsevier, vol. 34(3), pages 578-593, March.
    13. Guermat, Cherif, 2014. "Yes, the CAPM is testable," Journal of Banking & Finance, Elsevier, vol. 46(C), pages 31-42.
    14. Grauer, Robert R. & Janmaat, Johannus A., 2010. "Cross-sectional tests of the CAPM and Fama-French three-factor model," Journal of Banking & Finance, Elsevier, vol. 34(2), pages 457-470, February.
    15. Huang, Dayong & Wang, Fang, 2009. "Cash, investments and asset returns," Journal of Banking & Finance, Elsevier, vol. 33(12), pages 2301-2311, December.
    16. Gray, Philip & Johnson, Jessica, 2011. "The relationship between asset growth and the cross-section of stock returns," Journal of Banking & Finance, Elsevier, vol. 35(3), pages 670-680, March.
    17. Mădălina - Gabriela Anghel & Liliana (Dincă) Paschia, 2013. "Using The Capm Model To Estimate The Profitability Of A Financial Instrument Portfolio," Annales Universitatis Apulensis Series Oeconomica, Faculty of Sciences, "1 Decembrie 1918" University, Alba Iulia, vol. 2(15), pages 1-19.
    18. Balvers, Ronald J. & Huang, Dayong, 2009. "Evaluation of linear asset pricing models by implied portfolio performance," Journal of Banking & Finance, Elsevier, vol. 33(9), pages 1586-1596, September.

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