A Novel Portfolio Selection Model with Preemptive Fuzzy Goal Programming

In the Financial Markets, the investors mostly take into account the different kinds of the objectives to achieve the best performance. The multi-objective programming methods allow the investors to handle these objectives simultaneously. Preemptive fuzzy goal programming is one of the most efficient methods in the multi-objective programming, because it assigns the fuzzy goals to the objectives having different priorities among each other. In this article; the portfolio risk, the return levels and the beta coefficient defined in the Capital Asset Pricing Model are handled as different objectives. In order to assign the fuzzy goals to these objectives, the fuzzy membership functions are constituted with respect to the different types of investor strategies based on the market moving trends. By using these fuzzy membership functions in the preemptive fuzzy goal programming approach, a novel portfolio selection model is proposed. In the application sections, the two different periods having the upward and the downward moving trends in the Istanbul Stock Exchange National 30 Index are handled separately, then the optimal portfolios are determined using the proposed portfolio selection model in accordance with different investment strategies. Finally, the optimal portfolios are compared in terms of their performances based on the selling prices in the test periods.