Portfolio Optimization with Minimum Average Absolute Deviations of Cross- efficiency

Document Type : Research Paper


1 1. MSc Management, University of Guilan, Rasht- Iran

2 Assistant Professor of Management, University of Guilan, Rasht- Iran


Investing in the stock market has always been a key issue that how liquid assets are specialized among stocks of the companies to meet the interests of the investor. This research is tried to help investors to choose portfolio optimization more effectively by offering two new approaches .The approach of using cross-efficiency table instead of stock return is presented as the basis to solve the model of the minimum mean of absolute deviations from the average, in which financial indicators were used as initial data to form the portfolio. Another approach is a two-stage algorithm in which the requirement for segmentation of the market to various industries has been considered when using financial indicators. Finally, sharp criteria shows that there is a significant difference between the proposed approaches and the current methods. The results show that these two approaches are more suitable than similar ones.


Chang, T. J., Meade, N., Beasley, J. E., Sharaiha, Y. M.) 2000(. Heuristics for cardinality constrained portfolio optimisation. Computers and Operations Research,  27(1), 271–302.
Darabi, R., Vaghfi, H., Habibzadeh, J., & Ahangari, M. (2016). Select Optimal Portfolio of Stock in Companies Listed at Tehran Stock Exchange, Financial Knowlage of Securities Analaysis, 9(31), 11-122. (in Persian)
Deng, G. F., Lin, W. T., & Lo, C. C. (2012). Markowitz-based portfolio selection with cardinality constraints using improved particle swarm optimization. Expert Systems with Applications, 39(4), 4558-4566.
Edirisinghe, N. C. P., & Zhang, X. (2008). Portfolio selection under DEA-based relative financial strength indicators: case of US industries. Journal of the Operational Research Society, 59(6), 842-856.
Elahi, M., Yoosefi, M. (2014). Mean-variance portfolio optimization approach using the Search Algorithm for hunting. Journal of financial research, 16(1), 37-56. (in Persian)
Goodarzi, M., Yakideh, K., Mahfoozi, GH. (2016). Portfolio optimization by combining data envelopment analysis and decision-making Hurwicz method, Modern Researches in Decision Making, 4(1), 165-143. (in Persian)
Goodarzi, M., Yakideh.K., Mahfoozi.GH. (2017). Portfolio optimization by synthesis of cross efficiency and Game theory, Journal of Industrial Management, 8(4), (2017), 685-706. (in Persian)
Konno, H., & Yamazaki, H. (1991). Mean-absolute deviation portfolio optimization model and its applications to Tokyo stock market. Management science, 37(5), 519-531.
Li, P., Han, Y., Xia, Y. (2016). Portfolio Optimization Using Asymmetry Robust Mean Absolute Deviation Model. Finance Research Letters, 21(44), 1-10.
Lim, S., Oh, K. W., & Zhu, J. (2014). Use of DEA cross-efficiency evaluation in portfolio selection: An application to Korean stock market. European Journal of Operational Research, 236(1), 361-368.
Mansini, R., Ogryczak, W. & Speranza, M.G. (2003). LP Solvable Models for Portfolio Optimization: A Classification and Computational Comparison. IMA Journal of Management Mathematics, 14, 187-220.
Mansini, R., Ogryczak, W., Grazia, M.C. (2015). Linear and Mixed Integer Programming for Potfolio Optimization, New York: AG Switzerland.
Markowitz, H. (1952). Portfolio selection. The journal of finance, 7(1), 77-91.
Momeni, M. (2015). New Operational Research Topics. Gange Shaygan, Tehran.
(in Persian)
Oh, K. J., Kim, T. Y., & Min, S. (2005). Using genetic algorithm to support portfolio optimization for index fund management. Expert Systems with Applications, 28(2), 371-379.
Papahristodoulou, C., Dotzauer, E. (2004). Optimal portfolios using linear programming models. Journal of the Operational Research Society, 55, 1169–1177.
Qodsi, S., Tehrani, R., Bashiri, M. (2015). Portfolio optimization with simulated annealing algorithm. Journal Of Financial Research, 17(1), 141-158.
(in Persian)
Samaras, G. D., Matsatsinis, N. F., & Zopounidis, C. (2008). A multi criterion DSS for stock evaluation using fundamental analysis. European Journal of Operational Research, 187(3), 1380–1401.
Shalit, H., & Yitzhaki, S. (2005). The mean-gini efficient portfolio frontier. Journal of Financial Research, 28(1), 59-75.
Sharma, A., Mehra, A. (2016). Financial analysis based sectoral portfolio optimization under second order stochastic dominance. Annals of Operations Research, 256(1), 171-197.
Sharpe, W. F. (1964). Capital asset prices: A theory of market equilibrium underconditions of risk. The journal of finance, 19(3), 425-442.