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E-V and E-S Capital Asset Pricing Models: Some Empirical Tests

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  • Jahankhani, Ali

Abstract

The purpose of this study was to test empirically the risk and return relationships for a mean-variance (E-V) and a mean-semivariance (E-S) capital asset pricing model (CAPM). To date, virtually all empirical work has focused on the Sharpe-Lintner [28,17] E-V model. In the E-V model, the risk of an efficient portfolio is measured by the standard deviation of return, σp. For individual securities, the appropriate measure of risk is the covariance of return on the security and the market portfolio. The E-V model states that the expected return of any security or portfolio equals the risk-free rate of return plus a risk premium that is η times the difference between the expected return on the market portfolio and the risk-free rate of return, i.e.,where the tildes denote random variables, and = expected rate of return on security i,Rf = risk-free rate of return, = expected rate of return on the market portfolio, and.

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  • Jahankhani, Ali, 1976. "E-V and E-S Capital Asset Pricing Models: Some Empirical Tests," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 11(4), pages 513-528, November.
    • Handle: RePEc:cup:jfinqa:v:11:y:1976:i:04:p:513-528_02
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    Cited by:

    1. Turan G. Bali & Nusret Cakici & Robert F. Whitelaw, 2013. "Hybrid Tail Risk and Expected Stock Returns: When Does the Tail Wag the Dog?," NBER Working Papers 19460, National Bureau of Economic Research, Inc.
    2. Don Galagedera & Elizabeth Maharaj & Robert Brooks, 2008. "Relationship between downside risk and return: new evidence through a multiscaling approach," Applied Financial Economics, Taylor & Francis Journals, vol. 18(20), pages 1623-1633.
    3. Atanasov, Victoria & Nitschka, Thomas, 2014. "Currency excess returns and global downside market risk," Journal of International Money and Finance, Elsevier, vol. 47(C), pages 268-285.
    4. Ruili Sun & Tiefeng Ma & Shuangzhe Liu & Milind Sathye, 2019. "Improved Covariance Matrix Estimation for Portfolio Risk Measurement: A Review," JRFM, MDPI, vol. 12(1), pages 1-34, March.
    5. Rui Ding, 2016. "Disclosure of Downside Risk and Investors' Use of Qualitative Information: Evidence from the IPO Prospectus's Risk Factor Section," International Review of Finance, International Review of Finance Ltd., vol. 16(1), pages 73-126, March.
    6. Houda Hafsa & Dorra Hmaied, 2012. "Are Downside Higher Order Co-Moments Priced? : Evidence From The French Market," The International Journal of Business and Finance Research, The Institute for Business and Finance Research, vol. 6(1), pages 65-81.
    7. Yaron Levi & Ivo Welch & Andrew Karolyi, 2020. "Symmetric and Asymmetric Market Betas and Downside Risk [Downside risk]," Review of Financial Studies, Society for Financial Studies, vol. 33(6), pages 2772-2795.
    8. Asgar Ali & K. N. Badhani, 2023. "Tail risk, beta anomaly, and demand for lottery: what explains cross-sectional variations in equity returns?," Empirical Economics, Springer, vol. 65(2), pages 775-804, August.
    9. Andrew Ang & Joseph Chen & Yuhang Xing, 2006. "Downside Risk," Review of Financial Studies, Society for Financial Studies, vol. 19(4), pages 1191-1239.
      • Andrew Ang & Joseph Chen & Yuhang Xing, 2005. "Downside risk," Proceedings, Board of Governors of the Federal Reserve System (U.S.).
    10. Roger P. Bey, 1979. "Mean-Variance, Mean-Semivariance, And Dcf Estimates Of A Public Utility'S Cost Of Equity," Journal of Financial Research, Southern Finance Association;Southwestern Finance Association, vol. 2(1), pages 13-26, March.
    11. Liu, Jinjing, 2023. "A novel downside beta and expected stock returns," International Review of Financial Analysis, Elsevier, vol. 85(C).
    12. Post, G.T. & van Vliet, P., 2004. "Conditional Downside Risk and the CAPM," ERIM Report Series Research in Management ERS-2004-048-F&A, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
    13. Zhangxin (Frank) Liu & Michael J. O'Neill, 2018. "Partial moment volatility indices," Accounting and Finance, Accounting and Finance Association of Australia and New Zealand, vol. 58(1), pages 195-215, March.
    14. Galagedera, Don U.A. & Brooks, Robert D., 2007. "Is co-skewness a better measure of risk in the downside than downside beta?: Evidence in emerging market data," Journal of Multinational Financial Management, Elsevier, vol. 17(3), pages 214-230, July.

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