A Comparative Study of Mean-Variance and Mean Gini Portfolio Selection Using VaR and CVaR

DOI: 10.4236/jfrm.2015.42007   PDF   HTML   XML   4,610 Downloads   5,784 Views   Citations


This paper focuses on two methods for optimum market portfolio selection. We compare the Mean-Variance method with the Mean-Gini method using MADEX data from turbulent market periods in 2011, 2012 and 2013. We compare both strategies with reference to value at-risk (VaR) and conditional value-at-risk (CVaR) measures during periods of financial crisis. The results show that both strategies are profitable for investors. We consider the Mean-Gini strategy to be the more secure strategy during periods of market instability.

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Agouram, J. and Lakhnati, G. (2015) A Comparative Study of Mean-Variance and Mean Gini Portfolio Selection Using VaR and CVaR. Journal of Financial Risk Management, 4, 72-81. doi: 10.4236/jfrm.2015.42007.

Conflicts of Interest

The authors declare no conflicts of interest.


[1] Agouram, J., & Lakhnati, G. (2015). Mean-Gini Portfolio Selection: Forecasting VaR Using GARCH Models in Moroccan Financial Market. Journal of Economics and International Finance, 7, 51-58.
[2] Christoffersen, P. F. (1998). Evaluating Interval Forecasts. International Economic Review, 39, 841-862.
[3] Dorfman, R. (1979). A Formula for the Gini Coefficient. Review of Economics and Statistics, 61, 146-149.
[4] Favre, L., & Galeano, J. A. (2002). Mean-Modified Value-at-Risk Optimization with Hedge Funds. Journal of Alternative Investments, 5, 2-21.
[5] Kupiec, P. (1995). Technique for Verifying the Accuracy of Risk Measurement Models. Journal of Derivatives, 2, 173-184.
[6] Markowitz, H. (1952a). Porfolio Selection. Journal of Finance, 7, 77-91.
[7] Markowitz, H. (1952b). The Utility of Wealth. The Journal of Political Economy (Cowles Foundation Paper 57), LX (2), 151-158.
[8] Markowitz, H. (1959). Portfolio Selection: Efficient Diversification of Investments. New York: Wiley.
[9] Shalit, H., & Yitzhaki, S. (1984) Mean-Gini, Portfolio Theory, and the Pricing of Risky Asset. Journal of Finance, 39, 1449-1468.
[10] Shephard, N. (1996). Statistical Aspects of ARCH and Stochastic Volatility. Monographs on Statistics and Applied Probability, 65, 1-68.
[11] Yitzhaki, S. (1982). Stochastic Dominance, Mean-Variance, and Gini’s Mean Difference. American Economic Review, 2, 178-185.
[12] Zangari, P. (1996). A VaR Methodology for Portfolios That Include Options. RiskMetrics Monitor, JP Mogran-Reuters, First Quarter, 4-12.

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