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A Comparison of the Linear Model and the Efficient Frontier for the Evaluation of Portfolio Performance | ||
| Journal of Mathematics and Modeling in Finance | ||
| دوره 4، شماره 1، مهر 2024، صفحه 83-96 اصل مقاله (240.64 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22054/jmmf.2024.76182.1115 | ||
| نویسندگان | ||
| Fatemeh Fattahi* 1؛ Farhad Hosseinzadeh Lotfi2؛ Andrew C. Worthington3 | ||
| 1Department of Mathematics and Computer Sciences, Kharazmi University, Tehran, Iran | ||
| 2Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran | ||
| 3Department of Accounting, Finance and Economics, Griffith University, Brisbane, QLD, Australia | ||
| چکیده | ||
| Data envelopment analysis (DEA) is a methodology widely used for evaluating the relative performance of portfolios under a mean–variance framework. However, there has been little discussion of whether nonlinear models best suit this purpose. Moreover, when using DEA linear models, the portfolio efficiency obtained is not comparable to those on the efficient portfolio frontier. This is because a separable piecewise linear boundary usually below the efficient frontier is considered the efficient frontier, so the model does not fully explore the possibility of portfolio benchmarks. In this paper, and with use of the dual-Lagrangian function, we propose a linear model under a mean–variance framework to evaluate better the performance of portfolios relative to those on the efficient frontier. | ||
| کلیدواژهها | ||
| Data Envelopment Analysis؛ Efficiency؛ Portfolio؛ Dual-lagrangine | ||
| مراجع | ||
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[1] M. Branda, M. Kopa, DEA-risk efficiency and stochastic dominance efficiency of stock indices, FinancUver-Czech J Econ Financ, (2012), 62(2), 10624. [2] W. Briec, K. Kerstens, and O. Jokung,Mean-Variance-Skewness Portfolio Performance Gauging: A General Shortage Function and Dual Approach, Management Science, (2006), 53, pp. 153-149. [3] F. Choobineh, D. Branting, A Simple Approximation for Semi variance, European Journal of Operational Research, (1986), Vol. 27, pp. 364-370. [4] G. Hanoch, H. Levy , The efficient analysis of choices involving risk, Review of Economic Studies, (1969), 36 (3) 335346. [5] G. Iazzolino, M. E. Bruni, S. Veltri, D. Morea, and G. Baldissarro,The impact of ESG factors on financial efficiency: An empirical analysis for the selection of sustainable firm portfolios, Corporate Social Responsibility and Environmental Management, (2023), 30(4), 1917-1927. [6] M. C. Jensen , The performance of mutual funds in the period, 19451968. Journal of Finance, (1968), 23, 389416. [7] T. Joro, P. Na ,Portfolio performance evaluation in a meanvarianceskewness framework, European Journal of Operational Research, (2006), 175(1), 446461. [8] P. D. Kaplan, R. H. Alldredge ,Semi variance in Risk-Based Index Construction: Quantidex Global Indexes, The Journal of Investing,(1997), Vol. 6, pp. 82-87. [9] K. Kerstens, A. Mounir , and I. V. Woestyne ,Geometric Representation of the MeanVariance Skewness Portfolio Frontier Based Upon the Shortage Function, European Journal of Operational Research, (2011), 210, pp. 81-94. [10] Q. Y. E. Lim, Q. Cao, and C. Quek, Dynamic portfolio rebalancing through reinforcement learning, Neural Computing and Applications, (2022), 34(9), 7125-7139. [11] W. Liu, Z. Zhou, D. Liu, and H. Xiao,Estimation of portfolio efficiency via DEA, Omega, (2015), 52, 107118. [12] S. Lozano, E. Gutierrez ´ ,Data envelopment analysis of mutual funds based on second-order stochastic dominance, European Journal of Operational Research, (2008), 189(1), 230244. [13] S. O. Lozza, E. Angelelli, and D. Toninelli ,Set-portfolio selection with the use of market stochastic bounds, Emerging Markets Finance and Trade, (2011), 47(5): 524. [14] Y. Ma, R. Han, and W. Wang, Portfolio optimization with return prediction using deep learning and machine learning, Expert Systems with Applications, (2021), 165, 113973. [15] H. Markowitz, Portfolio selection, The Journal of Finance, (1952), 7(1), 7791. [16] H. Markowitz, Portfolio Selection: Efficient Diversification of Investments, New York: Yale University Press, John Wiley,(1992), Vol. 119, pp. 165-166. [17] M. R. Morey, R. C. Morey ,Mutual fund performance appraisals: a multi-horizon perspective with endogenous benchmarking, Omega, International Journal of Management Science,(1999), 27, 241258. [18] W. F. Sharpe , Mutual fund performance, Journal of Business,(1966), 39(1), 119138. [19] W.F. Sharpe, J.A. Gordon, and V.B. Jeffry, Investment, 5th. Ed, Prentice HallCollege Div,(1995). [20] H. Soleimani, H. R. Golmakani, and M. H. Salimi ,Markowitz-based portfolio selection with minimum transaction lots, cardinality constraints and regarding sector capitalization using genetic algorithm, Expert Systems with Applications,(2009), 36, 50585063. [21] J. Tobin, Liquidity Preference as Behavior Toward Risk, Review of Economic Studies, (1958), 25, pp.65-86. [22] J. Treynor ,How to rate management of investment funds, Harvard Business Review,(1965), 43(1), 6375. [23] A. L. Turner, and E. J. Weigel, Daily Stock Market Volatility: 1928-1989, Management Science,(1992), 38, pp. 1586-1609. [24] P. Wolfe, A duality theorem for non-linear programming, Quarterly of applied mathematics, (1961), 19(3), 239-244. [25] A. Yoshimoto , The meanvariance approach to portfolio optimization subject to transaction costs, Journal of the Operations Research Society of Japan,(1996), 39(1), 99117. [26] Z. Zhou,H. Xiao,Q. Jin and W. Liu,DEA frontier improvement and portfolio rebalancing: An application of China mutual funds on considering sustainability information disclosure, European Journal of Operational Research,(2017), 121. | ||
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