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      • Open Access Article

        1 - Fuzzy Mean-CVaR Portfolio Selection Based on Credibility Theory
        S. Babak Ebrahimi Amirsina Jirofti Matin Abdi
        This paper develops a fuzzy portfolio selection problem that minimizes conditional value-at-risk (CVaR) and estimates CVaR by fuzzy credibility theory and also calculates expected return by fuzzy credibility mean. Using fuzzy techniques makes the model more precise and More
        This paper develops a fuzzy portfolio selection problem that minimizes conditional value-at-risk (CVaR) and estimates CVaR by fuzzy credibility theory and also calculates expected return by fuzzy credibility mean. Using fuzzy techniques makes the model more precise and accurate due to uncertainty of financial data. The use of CVaR helps investors make better decisions because it indicates the size of loss. This study considers some constraints for model including liquidity, cardinality, minimum and maximum investment proportion. The liquidity constraint is measured by turnover of each asset as a trapezoidal fuzzy number. The liquidity constraint converts to a linear constraint by using fuzzy credibility theory. Using CVaR as a risk measurement and efficient constraints makes the model appropriate and adequate for portfolio selection. Finally, a numerical example is provided by 10 stocks chosen from Tehran Stock Exchange Market in 2015 and it shows the effectiveness and applicability of the proposed model Manuscript profile
      • Open Access Article

        2 - Solving portfolio selection problem using Dantzig-Wolfe algorithm
        Javad Behnamian Mohammad Moshrefi
        Portfolio selection process is one of the problems that have been attracted many researchers. Various criteria that have been applied in this case have changed over time and this situation makes necessary the using of appropriate tools to support investment decisions. T More
        Portfolio selection process is one of the problems that have been attracted many researchers. Various criteria that have been applied in this case have changed over time and this situation makes necessary the using of appropriate tools to support investment decisions. The purpose of this research is modeling and solving of portfolio selection problem. On the other hand, in some cases of a portfolio optimization, due to largeness of problem size, the problem would be impossible to solve in a reasonable time. In such situation, applying the methods that reduce the scale of problem can be useful. In current paper a Dantzig-Wolfe algorithm is used to solve the problem in which, after decomposing the basic problem into several sub problems and solving them, individually, the obtained results are aggregated. The results of applying this method showed its efficiency in solving the large-scale problems show.   Manuscript profile