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2013/1 (Vol. 34)

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Pages 7 - 41 Next



The market portfolio efficiency remains controversial. This paper develops a new test of portfolio mean-variance efficiency relying on the realistic assumption that all assets are risky. The test is based on the vertical distance of a portfolio from the efficient frontier. Monte Carlo simulations show that our test outperforms the previous mean-variance efficiency tests for large samples since it produces smaller size distortions for comparable power. Our empirical application to the U.S. equity market highlights that the market portfolio is not mean-variance efficient, and so invalidates the zero-beta CAPM.


  1. Introduction
  2. The Vertical Test of Mean-Variance Efficiency
  3. Power and Size Performances
    1. False Rejection of Efficient Portfolios
    2. Rejection of Inefficient Portfolios
    3. Robustness Checks on the Slope of the Efficient Frontier
  4. Is the Market Portfolio Efficient?
  5. Conclusion

To cite this article

Marie Brière, Bastien Drut, Valérie Mignon, Kim Oosterlinck, Ariane Szafarz, “ Is the Market Portfolio Efficient? A New Test of Mean-Variance Efficiency when all Assets are Risky* ”, Finance 1/2013 (Vol. 34) , p. 7-41
URL : www.cairn.info/revue-finance-2013-1-page-7.htm.

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