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On the Insignificant Cross-Sectional Risk-Return Relationship

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DOI: 10.4236/jmf.2012.21004    4,201 Downloads   7,399 Views  


In their paper, “On the Cross-sectional Relation between Expected Returns and Betas”, Roll and Ross (1994) demonstrated that the expected returns and betas can have zero relationship even when the underlying market portfolio proxies are nearby the efficient frontier. In this note, we provide the mathematical details that lead to their conclusion and further show that their claim needs not hold for the entire set of MV portfolios.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

G. Cheang, J. Kang and M. Li, "On the Insignificant Cross-Sectional Risk-Return Relationship," Journal of Mathematical Finance, Vol. 2 No. 1, 2012, pp. 38-40. doi: 10.4236/jmf.2012.21004.


[1] E. F. Fama and K. R. French, “The Cross-Section of Expected Stock Returns,” Journal of Finance, Vol. 47, No. 2, 1992, pp. 427-466. doi:10.2307/2329112
[2] R. Roll and S. A. Ross, “On the Cross-Sectional Relation between Expected Returns and Betas,” Journal of Finance, Vol. 49, No. 1, 1994, pp. 101-121. doi:10.2307/2329137

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