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

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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," Supervisory Research and Analysis Working Papers QAU09-3, Federal Reserve Bank of Boston.
    • Handle: RePEc:fip:fedbqu:qau09-3
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    Cited by:

    1. Michael Nwogugu, 2020. "Regret Theory And Asset Pricing Anomalies In Incomplete Markets With Dynamic Un-Aggregated Preferences," Papers 2005.01709, arXiv.org.
    2. Michael C. Nwogugu, 2020. "Decision-Making, Sub-Additive Recursive "Matching" Noise And Biases In Risk-Weighted Stock/Bond Index Calculation Methods In Incomplete Markets With Partially Observable Multi-Attribute Pref," Papers 2005.01708, arXiv.org.
    3. Todd Prono, 2008. "GARCH-based identification and estimation of triangular systems," Supervisory Research and Analysis Working Papers QAU08-4, Federal Reserve Bank of Boston.

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    Keywords

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    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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