Abstract
Portfolio selection methods are developed in many fields. Many techniques and mathematical models are used to settle related problems based on mean-variance model developed in the stock markets. Many researches focus on evaluating items and formulate portfolio from good items and the methods belong to forward-type. On the contrary, this study aims to use “backward-type” portfolio selection method. In the perspective of backward-type selection, this thesis identifies the portfolio attributes into three categories such as independent, interrelated and synergistic portfolio attributes. Other than the mean-variance model considers the risk as the selected criteria. The thesis used the performance (i.e. future return) what the investor emphasized as the target. By the statistic of partial R squares from stepwise-regression method toward performance, the investors’ attitude (i.e. relative importance) of each attribute is obtained periodically and the evaluation index is constructed. Based on the index, the study then constructed multi-criteria mixed-integer quadratic programming model and quadratic programming by different definition of synergistic attributes to obtain invested position of stocks in the portfolio. Finally, This study will have illustrations in Taiwan Stock market and find that the backward-type selection methods, company profitability and synergistic attribute including in the model will have good performance.