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A concave security market line

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  • De Giorgi, Enrico G.
  • Post, Thierry
  • Yalçın, Atakan

Abstract

We provide theoretical and empirical arguments in favor of a diminishing marginal premium for market risk. In capital market equilibrium with binding portfolio restrictions, investors with different risk aversion levels generally hold different sets of risky securities. Whereas the traditional linear relation breaks down, equilibrium can be described or approximated by a concave relation between expected return and market beta, and a concave relationship between market alpha and market beta. An empirical analysis of U.S. stock market data confirms the existence of a significant concave cross-sectional relation between average return and estimated market beta. We estimate that the market risk premium is at least four to six percent per annum, substantially above traditional estimates. A practical implication for active portfolio managers is that the alpha of “betting against beta” strategies seems dominated by the medium-minus-high-beta spread rather than the low-minus-medium-beta spread. The success of such strategies thus largely depends on underweighting or short selling high-beta stocks.

Suggested Citation

  • De Giorgi, Enrico G. & Post, Thierry & Yalçın, Atakan, 2019. "A concave security market line," Journal of Banking & Finance, Elsevier, vol. 106(C), pages 65-81.
    • Handle: RePEc:eee:jbfina:v:106:y:2019:i:c:p:65-81
    DOI: 10.1016/j.jbankfin.2019.05.010
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    More about this item

    Keywords

    Capital market equilibrium; Asset pricing; Investment restrictions; Portfolio theory; Market beta; Stock selection;
    All these keywords.

    JEL classification:

    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • C21 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Cross-Sectional Models; Spatial Models; Treatment Effect Models

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