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Information Journal Paper

Title

LINEAR PROGRAMMING FOR PORTFOLIO SELECTION BASED ON FUZZY DECISION-MAKING THEORY

Pages

  1-12

Abstract

 Markowitz’s mean-variance model of PORTFOLIO SELECTION is one the best known models in finance since 1950, which recognized to contribute in salient transformations. Financial theorists have had extremely efforts in making PORTFOLIO SELECTION models more applicable which have caused to drive them to the new models. In this paper, PORTFOLIO SELECTION in crisp and fuzzy cases is studied respectively, and corresponding model and algorithms in both cases are proposed; an effective way is given to transform and optimal problem with nonlinear objective function or non-linear constraint into a linear problem, which alleviate the computational difficulty greatly. In two models, the risk is taken as the sum of the absolute deviation of the risky assets instead of covariance, the TRANSACTION COST is taken as v-shaped function of the difference between the existing and new portfolio. Also, the investor’s subjective impact is reflected in the model of the fuzzy decision-making environment. In order to compare the two models, we have selected 13 top accepted firms in Tehran Securities Exchange among 50 firms as statistical sample in this research, which have been active between1382 to 1391. For achieving model’s portfolios, DEA SOLVER software was used. After determining portfolio and calculating the return and the risk of each of the models, the research hypothesis was tested by using SPSS software. The results show that between two models, the proposed model can generate a favorite portfolio strategy according to the investor’s satisfactory degree.

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    Cite

    APA: Copy

    AMIRHOSSEINI, ZAHRA, & GHOBADI, MASOUMEH. (2015). LINEAR PROGRAMMING FOR PORTFOLIO SELECTION BASED ON FUZZY DECISION-MAKING THEORY. FINANCIAL ENGINEERING AND SECURITIES MANAGEMENT (PORTFOLIO MANAGEMENT), 5(21), 1-12. SID. https://sid.ir/paper/197687/en

    Vancouver: Copy

    AMIRHOSSEINI ZAHRA, GHOBADI MASOUMEH. LINEAR PROGRAMMING FOR PORTFOLIO SELECTION BASED ON FUZZY DECISION-MAKING THEORY. FINANCIAL ENGINEERING AND SECURITIES MANAGEMENT (PORTFOLIO MANAGEMENT)[Internet]. 2015;5(21):1-12. Available from: https://sid.ir/paper/197687/en

    IEEE: Copy

    ZAHRA AMIRHOSSEINI, and MASOUMEH GHOBADI, “LINEAR PROGRAMMING FOR PORTFOLIO SELECTION BASED ON FUZZY DECISION-MAKING THEORY,” FINANCIAL ENGINEERING AND SECURITIES MANAGEMENT (PORTFOLIO MANAGEMENT), vol. 5, no. 21, pp. 1–12, 2015, [Online]. Available: https://sid.ir/paper/197687/en

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