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Calculating the Miss-specification in Beta from Using a Proxy for the Market Portfolio

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  • Steve Satchell
  • Soosung Hwang

Abstract

This study investigates the effects of the market portfolio being unknown on the estimation of beta in the CAPM. Providing an analysis of the impact of using a proxy for the market portfolio when the market portfolio is known. This allows one to ask and answer 'if what' questions, such as if portfolio A is the true market portfolio, what happens to beta if one uses portfolio B as a proxy for A. It is shown that for a given universe of investible assets, frequently used equally weighted and value weighted portfolios are far from the Markowitz market portfolio and thus the betas calculated with the equally weighted and value weighted portfolios are quite different from those obtained with the Markowitz portfolio. These calculations are based on sequential assumptions that one portfolio is a proxy whilst another is the actual market.
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Suggested Citation

  • Steve Satchell & Soosung Hwang, 2000. "Calculating the Miss-specification in Beta from Using a Proxy for the Market Portfolio," Working Papers wp00-04, Warwick Business School, Finance Group.
  • Handle: RePEc:wbs:wpaper:wp00-04
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    File URL: http://www2.warwick.ac.uk/fac/soc/wbs/research/wfri/rsrchcentres/ferc/wrkingpaprseries/fwp00-04.pdf
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    References listed on IDEAS

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    1. Fama, Eugene F, 1970. "Multiperiod Consumption-Investment Decisions," American Economic Review, American Economic Association, vol. 60(1), pages 163-174, March.
    2. Fama, Eugene F & MacBeth, James D, 1973. "Risk, Return, and Equilibrium: Empirical Tests," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 607-636, May-June.
    3. Kraus, Alan & Litzenberger, Robert H, 1976. "Skewness Preference and the Valuation of Risk Assets," Journal of Finance, American Finance Association, vol. 31(4), pages 1085-1100, September.
    4. Roll, Richard, 1977. "A critique of the asset pricing theory's tests Part I: On past and potential testability of the theory," Journal of Financial Economics, Elsevier, vol. 4(2), pages 129-176, March.
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    Cited by:

    1. Zion Guo & Hsin-Yi Huang, 2012. "An Analytic Derivation of the Efficient Market Portfolio," Journal for Economic Forecasting, Institute for Economic Forecasting, vol. 0(4), pages 104-116, December.
    2. Omran, M.F., 2007. "An analysis of the capital asset pricing model in the Egyptian stock market," The Quarterly Review of Economics and Finance, Elsevier, vol. 46(5), pages 801-812, February.

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