%0 Journal Article %T Higher Moments Portfolio Optimization with Entropy Based Polynomial Goal Programming %J Financial Research Journal %I University of Tehran %Z 1024-8153 %A Nabizade, Ahmad %A Behzadi, Adel %D 2018 %\ 06/22/2018 %V 20 %N 2 %P 193-210 %! Higher Moments Portfolio Optimization with Entropy Based Polynomial Goal Programming %K Diversity index %K Entropy %K higher Moment portfolio %K Portfolio optimization %K Portfolio performance measure %R 10.22059/frj.2018.255731.1006645 %X Objective: Portfolio selection is a critical factor in investment. Having considered a number of risky assets, fund  managers must choose the optimum portfolio. Stock values can be affected by different types of events  such as governmental crises, economic turmoil and industrial improvements. Due to the vague nature  of these events, it is difficult to estimate the future value of stocks. However, Markowitz’s Modern  portfolio theory, which is principally focused on portfolio risk, has introduced a novel model for stock  diversification. When the normality assumption  of return series of assets are not valid, higher moments can also be added to ensure the efficiency of  the Markowitz model. On other hand, entropy can be used as diversification creteria in portfolio theory. In this paper, the affect of simulatnus usage higher moment and entropy is examined. Methods: In this paper, a polynomial goal programming based on the model of meanvariance-skidding-elongation-entropy and direct search algorithms is used. For estimation of entropy, Shannon and Ginny Simpson criteria have been used.  Results: Tehran Stock Exchange data was used to evaluate the models. The findings indicate portfolio performance measure is enhanced by using the proposed approach. Conclusion: Using a combination of higher moments and entropy, although it does not improve some of the target functions, but generally improves the performance of the portfolios.     %U https://jfr.ut.ac.ir/article_67698_f3fb6ff932c85cbc33d88cc9685f6b42.pdf