Mean-Variance-Skewness Portfolio Selection Model Based on RBF-GA

Yuanyuan LU, Jiaming LI


The classical Markowitz’s mean-variance model in modern investment science uses variance as risk measure while it ignores the asymmetry of the return distribution. This article introduces skewness, V-type transaction costs, cardinality constraint and initial investment proportion, and builds a new class of nonlinear multi-objective portfolio model (mean-variance-skewness portfolio selection model). To solve the model, we develop a genetic algorithm(GA) which contains radial basis function(RBF) neural network, called RBF-GA. The experimental results show that the proposed model is more effective and more realistic than others.


Portfolio model; Skewness; RBF-GA

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Arditti, F. D., & Levy, H. (1975). Portfolio efficient analysis in three moments: The multi-period case. Journal of Finance, 30, 797-809.

Barak, S., & Abessia, M., & Modarres, M. (2013). Fuzzy turnover rate chance constraints portfolio model. European Journal of Operational Research, 228, 141-147.

Broomhead, D. S., & Lowe, D. (1988). Multivariable functional interpolation and adaptive networks. Complex Systems, 2, 321-55.

Chunhachinda, P., Dandapani, K., Hamid, S., & Prakash, A. J. (1997). Portfolio selection and skewness: Evidence from international stock markets. Journal of Banking and Finance, 21, 143-167.

de Athayde, G. M., & Flores, R. G. (2004). Finding a maximum skewness portfolio-a general solution to three-moments portfolio choice. Journal of Economic Dynamics and Control, 28, 1335-1352.

DeJong, K. A. (1975). The analysis of the behavior of a class of genetic adaptive systems. Ann Arbor University of Michigan.

Golldberg, D. E. (1989). Genetic algorithm in search, optimization and machine learning. Boston Addison-Wesley Longman Press.

Holland, J. H. (1975). Adaptation in natural and artificial systems. Ann Arbor University of Michigan Press.

Li, X., Qin, Z. F., & Samarjit, K. (2010). Mean-variance-skewness model for portfolio selection with fuzzy returns. European Journal of Operational Research, 202(1), 239-247.

Markowitz, H. (1952). Portfolio selection. Journal of Finance, 7, 77-91.

Rong, M., & Cui, H. Y. (2005). Adjust ment Model of Multi-Period Portfolio Based on Skewness. Operations Research and Management Science, 14(6), 104-108.

Samuelson, P. A. (1970). The fundamental approximation theorem of portfolio analysis in terms of means,variances and higher moments. Review of Economic Studies, 37, 537-542.

Tsaur, R.-C. (2013). Fuzzy portfolio model with different investor risk attitudes. European Journal of Operational Research, 227, 385-390.

Yu, L., Wang, S. Y., & Lai, K. K. (2008). Neural network-based mean-variance-skewness model for portfolio selection. Computers & Operations Research, 35, 34-46.



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