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Orthogonalized Equity Risk Premia and Systematic Risk Decomposition

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  • Rudolf F. Klein

    (Department of Economics, West Virginia University)

  • K. Victor Chow

    (Department of Finance, West Virginia University)

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    Abstract

    To solve the dependency problem between factors, in the context of linear multi-factor models, this study proposes an optimal procedure to find orthogonalized risk premia, which also facilitates the decomposition of the coefficient of determination. Importantly, the new risk premia may diverge significantly from the original ones. The decomposition of risk allows one to explicitly examine the impact of individual factors on the return variation of risky assets, which provides discriminative power for factor selection. The procedure is experimentally robust even for small samples. Empirically we find that even though on average, approximately eighty (sixtyfive) percent of style (industry) portfolios’ volatility is explained by the market and size factors, other factors such as value, momentum and contrarian still play an important role for certain portfolios. The components of systematic risk, while dynamic over time, generally exhibit negative correlation between market, on one side, and size, value, momentum and contrarian, on the other side.

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    File URL: http://www.be.wvu.edu/phd_economics/pdf/10-05.pdf
    File Function: First version, 2010
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    Bibliographic Info

    Paper provided by Department of Economics, West Virginia University in its series Working Papers with number 10-05.

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    Length: 32 pages
    Date of creation: 2010
    Date of revision:
    Handle: RePEc:wvu:wpaper:10-05

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    Related research

    Keywords: Orthogonalization; Systematic Risk; Decomposition; Fama-French Model; Asset Pricing.;

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    1. Malkiel, Burton & Campbell, John & Lettau, Martin & Xu, Yexiao, 2001. "Have Individual Stocks Become More Volatile? An Empirical Exploration of Idiosyncratic Risk," Scholarly Articles 3128707, Harvard University Department of Economics.
    2. Campbell, John Y. & Mei, Jianping, 1993. "Where Do Betas Come From? Asset Price Dynamics and the Sources of Systematic Risk," Scholarly Articles 3353757, Harvard University Department of Economics.
    3. William F. Sharpe, 1964. "Capital Asset Prices: A Theory Of Market Equilibrium Under Conditions Of Risk," Journal of Finance, American Finance Association, vol. 19(3), pages 425-442, 09.
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    5. Chan, Louis K C & Jegadeesh, Narasimhan & Lakonishok, Josef, 1996. " Momentum Strategies," Journal of Finance, American Finance Association, vol. 51(5), pages 1681-1713, December.
    6. Acharya, Viral V. & Pedersen, Lasse Heje, 2005. "Asset pricing with liquidity risk," Journal of Financial Economics, Elsevier, vol. 77(2), pages 375-410, August.
    7. Jegadeesh, Narasimhan & Titman, Sheridan, 1993. " Returns to Buying Winners and Selling Losers: Implications for Stock Market Efficiency," Journal of Finance, American Finance Association, vol. 48(1), pages 65-91, March.
    8. Ronald Balvers & Yangru Wu & Erik Gilliland, 2000. "Mean Reversion across National Stock Markets and Parametric Contrarian Investment Strategies," Journal of Finance, American Finance Association, vol. 55(2), pages 745-772, 04.
    9. Narasimhan Jegadeesh, 2001. "Profitability of Momentum Strategies: An Evaluation of Alternative Explanations," Journal of Finance, American Finance Association, vol. 56(2), pages 699-720, 04.
    10. De Bondt, Werner F M & Thaler, Richard, 1985. " Does the Stock Market Overreact?," Journal of Finance, American Finance Association, vol. 40(3), pages 793-805, July.
    11. De Bondt, Werner F M & Thaler, Richard H, 1987. " Further Evidence on Investor Overreaction and Stock Market Seasonalit y," Journal of Finance, American Finance Association, vol. 42(3), pages 557-81, July.
    12. Fama, Eugene F & French, Kenneth R, 1992. " The Cross-Section of Expected Stock Returns," Journal of Finance, American Finance Association, vol. 47(2), pages 427-65, June.
    13. Fama, Eugene F & French, Kenneth R, 1996. " Multifactor Explanations of Asset Pricing Anomalies," Journal of Finance, American Finance Association, vol. 51(1), pages 55-84, March.
    14. Fama, Eugene F. & French, Kenneth R., 1993. "Common risk factors in the returns on stocks and bonds," Journal of Financial Economics, Elsevier, vol. 33(1), pages 3-56, February.
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    Cited by:
    1. Wolfgang Bessler & Julian Holler & Philipp Kurmann, 2012. "Hedge funds and optimal asset allocation: Bayesian expectations and spanning tests," Financial Markets and Portfolio Management, Springer, vol. 26(1), pages 109-141, March.

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