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An Analytical Framework For Explaining Relative Performance Of Capm Beta And Downside Beta

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  • DON U. A. GALAGEDERA

    (Department of Econometrics and Business Statistics, Monash University, 900 Dandenong Road, Caulfield East, Victoria 3145, Australia)

Abstract

Even though investors' view of risk is generally regarded as related to the downside of the return distribution the CAPM beta is still a widely used measure of systematic risk. A number of studies compare the empirical performance of CAPM beta and downside beta in explaining the variation in portfolio returns and report mixed results. This paper provides a basis for explaining such mixed results. Using data generating processes in the mean-variance and mean-lower partial moment frameworks, analytical relationships between the CAPM beta and downside beta are derived. The derived relationships reveal that the association between the two systematic risk measures is to a great extent dependent on the volatility of the market portfolio returns and the deviation of the target rate from the risk-free rate. How the relationships derived here may be used in practice is demonstrated using empirical data.

Suggested Citation

  • Don U. A. Galagedera, 2009. "An Analytical Framework For Explaining Relative Performance Of Capm Beta And Downside Beta," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 12(03), pages 341-358.
    • Handle: RePEc:wsi:ijtafx:v:12:y:2009:i:03:n:s0219024909005257
    DOI: 10.1142/S0219024909005257
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    Citations

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    Cited by:

    1. Lesław Markowski, 2015. "Conditional Volatility Exposures in Asset Pricing in the Downside and Classical Framework," Research in Economics and Business: Central and Eastern Europe, Tallinn School of Economics and Business Administration, Tallinn University of Technology, vol. 7(1).
    2. Anna Rutkowska-Ziarko & Lesław Markowski, 2022. "Accounting and Market Risk Measures of Polish Energy Companies," Energies, MDPI, vol. 15(6), pages 1-21, March.
    3. Rutkowska-Ziarko, Anna & Markowski, Lesław & Pyke, Christopher & Amin, Saqib, 2022. "Conventional and downside CAPM: The case of London stock exchange," Global Finance Journal, Elsevier, vol. 54(C).

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