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A remark on mean‐semivariance behaviour: Downside risk and capital asset pricing

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  • Sree Vinutha Venkataraman

Abstract

In the conventional capital asset pricing model (CAPM), standard deviation as a measure of risk penalizes both upward and downward movements. However, while downward movements in investments are risky, upward movements are favourable. Therefore, standard semideviation that treats only those negative differences in returns over the benchmark as risky was proposed as a measure of downside risk. Attempts have been made to obtain the formulation of beta in this context, called downside beta. In this work, CAPM in the mean‐semivariance framework (D‐CAPM), with semivariance measured in terms of negative deviation around expected return, is derived and established that the model proposed earlier with a version of downside beta with respect to this definition of semivaraince is invalid. The appropriate version of downside beta is obtained, and under the rectified formulation, the validity of the true D‐CAPM is empirically tested during July 2013–July 2018. The solution to the tangent point is also obtained. The proportion of investment in the stocks in the tangent portfolio and the downside beta for the stocks in the tangent portfolio are determined. We find that there is no evidence to disprove that D‐CAPM holds true considering either Nifty 50 or S&P BSE Sensex as market portfolio.

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  • Sree Vinutha Venkataraman, 2023. "A remark on mean‐semivariance behaviour: Downside risk and capital asset pricing," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 28(3), pages 2683-2695, July.
    • Handle: RePEc:wly:ijfiec:v:28:y:2023:i:3:p:2683-2695
    DOI: 10.1002/ijfe.2557
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    1. Galagedera, Don U.A., 2007. "An alternative perspective on the relationship between downside beta and CAPM beta," Emerging Markets Review, Elsevier, vol. 8(1), pages 4-19, March.
    2. Mohammad Reza Tavakoli Baghdadabad & Paskalis Glabadanidis, 2014. "An extensile method on the arbitrage pricing theory based on downside risk (D-APT)," International Journal of Managerial Finance, Emerald Group Publishing Limited, vol. 10(1), pages 54-72, January.
    3. Mohammad Reza Tavakoli Baghdadabad & Paskalis Glabadanidis, 2014. "An extensile method on the arbitrage pricing theory based on downside risk (D-APT)," International Journal of Managerial Finance, Emerald Group Publishing Limited, vol. 10(1), pages 54-72, January.
    4. Mohammad Enamul Hoque & Soo-Wah Low, 2020. "Industry Risk Factors and Stock Returns of Malaysian Oil and Gas Industry: A New Look with Mean Semi-Variance Asset Pricing Framework," Mathematics, MDPI, vol. 8(10), pages 1-28, October.
    5. Mohammad Reza Tavakoli Baghdadabad & Paskalis Glabadanidis, 2014. "An extensile method on the arbitrage pricing theory based on downside risk (D-APT)," International Journal of Managerial Finance, Emerald Group Publishing Limited, vol. 10(1), pages 54-72, January.
    6. Hogan, William W. & Warren, James M., 1974. "Toward the Development of an Equilibrium Capital-Market Model Based on Semivariance," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 9(1), pages 1-11, January.
    7. Alles, Lakshman & Murray, Louis, 2013. "Rewards for downside risk in Asian markets," Journal of Banking & Finance, Elsevier, vol. 37(7), pages 2501-2509.
    8. Dar-Hsin Chen & Chun-Da Chen & Jianguo Chen, 2009. "Downside risk measures and equity returns in the NYSE," Applied Economics, Taylor & Francis Journals, vol. 41(8), pages 1055-1070.
    9. Beach, Steven L., 2011. "Semivariance decomposition of country-level returns," International Review of Economics & Finance, Elsevier, vol. 20(4), pages 607-623, October.
    10. 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, September.
    11. Harlow, W. V. & Rao, Ramesh K. S., 1989. "Asset Pricing in a Generalized Mean-Lower Partial Moment Framework: Theory and Evidence," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 24(3), pages 285-311, September.
    12. Ali, Heba, 2019. "Does downside risk matter more in asset pricing? Evidence from China," Emerging Markets Review, Elsevier, vol. 39(C), pages 154-174.
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