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Testing CAPM with a Large Number of Assets

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Author Info

  • Pesaran, M. Hashem

    ()
    (University of Cambridge)

  • Yamagata, Takashi

    ()
    (University of York)

Abstract

This paper is concerned with testing the time series implications of the capital asset pricing model (CAPM) due to Sharpe (1964) and Lintner (1965), when the number of securities, N, is large relative to the time dimension, T, of the return series. In the case of cross-sectionally correlated errors, using a threshold estimator of the average squares of pair-wise error correlations a test is proposed and is shown to be valid even if N is much larger than T. Monte Carlo evidence show that the proposed test works well in small samples. The test is then applied to all securities in the S&P 500 index with 60 months of return data at the end of each month over the period September 1989-September 2011. Statistically significant evidence against Sharpe-Lintner CAPM is found mainly during the recent financial crisis. Furthermore, a strong negative correlation is found between a twelve-month moving average p-values of the test and the returns of long/short equity strategies relative to the return on S&P 500 over the period December 2006 to September 2011, suggesting that abnormal profits are earned during episodes of market inefficiencies.

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Bibliographic Info

Paper provided by Institute for the Study of Labor (IZA) in its series IZA Discussion Papers with number 6469.

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Length: 55 pages
Date of creation: Apr 2012
Date of revision:
Handle: RePEc:iza:izadps:dp6469

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Related research

Keywords: CAPM; testing for alpha; market efficiency; long/short equity returns; large panels; weak and strong cross-sectional dependence;

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References

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  1. Im, Kyung So & Pesaran, M. Hashem & Shin, Yongcheol, 2003. "Testing for unit roots in heterogeneous panels," Journal of Econometrics, Elsevier, vol. 115(1), pages 53-74, July.
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Cited by:
  1. Bailey, Natalia & Kapetanios, George & Pesaran, M. Hashem, 2012. "Exponent of Cross-sectional Dependence: Estimation and Inference," IZA Discussion Papers 6318, Institute for the Study of Labor (IZA).
  2. Marcelo Bianconi & Joe A. Yoshino, 2012. "Empirical Estimation of the Cost of Equity: An Application to Selected Brazilian Utilities Companies," Discussion Papers Series, Department of Economics, Tufts University 0765, Department of Economics, Tufts University.

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