TAILIEUCHUNG - Portfolio selection using genetic algorithm

The selection of optimal portfolios is the central problem of financial investment decisions. Mathematically speaking, portfolio selection refers to the formulation of an objective function that determines the weights of the portfolio invested in each asset as to maximize return and minimize risk. This paper applies the method of genetic algorithm (GA) to obtain an optimal portfolio selection. However, the GA parameters are of great importance in the procedure of convergence of this algorithm towards the optimal solution such as crossover. While, a five stock portfolio example is used in this paper to illustrate the applicability and efficiency of genetic algorithm method, GA method can also be used however for a larger number of portfolio compositions. The results obtained confirm previous research studies about the validity and efficiency of genetic algorithm in selecting optimal portfolios. | Journal of Applied Finance Banking 2012 143-154 ISSN 1792-6580 print version 1792-6599 online Scienpress Ltd 2012 Portfolio Selection Using Genetic Algorithm Slimane Sefiane1 and Mohamed Benbouziane2 Abstract The selection of optimal portfolios is the central problem of financial investment decisions. Mathematically speaking portfolio selection refers to the formulation of an objective function that determines the weights of the portfolio invested in each asset as to maximize return and minimize risk. This paper applies the method of genetic algorithm GA to obtain an optimal portfolio selection. However the GA parameters are of great importance in the procedure of convergence of this algorithm towards the optimal solution such as crossover. While a five stock portfolio example is used in this paper to illustrate the applicability and efficiency of genetic algorithm method GA method can also be used however for a larger number of portfolio compositions. The results obtained confirm previous research studies about the validity and efficiency of genetic algorithm in selecting optimal portfolios. JEL classification numbers G11 Keywords portfolio optimization objective function artificial intelligence methods genetic algorithm 1 Introduction Portfolio optimization is one of the most challenging problems in the field of finance. Selecting the weights of assets to invest in a portfolio as to meet the 1 University of Relizane Algeria e-mail ssefiane@ 2 University of Tlemcen Algeria e-mail mbenbouziane@ Article Info Received April 29 2012. Revised June 3 2012 Published online August 31 2012 144 Portfolio Selection Using Genetic Algorithm expectations about risk and return makes this problem more crucial. In dealing with this problem Harry Markowitz 1959 developed a quantitative model also called mean-variance model. The mean-variance model has been usually considered as either the minimization of an objective function representing the portfolio

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