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Market proxies, correlation, and relative mean-variance efficiency: still living with the roll critique

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  • Todd Prono

Abstract

A pricing restriction is developed to test the validity of the CAPM conditional on a prior belief about the correlation between the true market return and the proxy return used in the test. Distinguishing this pricing restriction from competing tests also based upon the relative efficiency of the proxy return is a consideration for the proxy's mismeasurement of the market return. Failure to account for this mismeasurement biases tests of the CAPM towards rejection by overstating the inefficiency of the proxy. A time-varying version of this pricing restriction links mismeasurement of the market return to time-variation in beta. This paper is a revision to Working Paper QAU07-2, "The Relative Efficiency of Endogenous Proxies: Still Living with the Roll Critique."

Suggested Citation

  • Todd Prono, 2009. "Market proxies, correlation, and relative mean-variance efficiency: still living with the roll critique," Risk and Policy Analysis Unit Working Paper QAU09-3, Federal Reserve Bank of Boston.
  • Handle: RePEc:fip:fedbqu:qau09-3
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    Cited by:

    1. Todd Prono, 2008. "GARCH-based identification and estimation of triangular systems," Risk and Policy Analysis Unit Working Paper QAU08-4, Federal Reserve Bank of Boston.

    More about this item

    Keywords

    Capital assets pricing model;

    JEL classification:

    • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

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