Belirli Kısıtlar Altında Doğrusal Programlamaya Dayalı Bir Portföy Optimizasyonu Modelinin Geliştirilmesi: Borsa İstanbul 30 Endeksi Üzerine Bir Uygulama

Abstract

The aims of this study are to lend assistance for the account owners who plan to make an investment in the financial markets to make the most accurate investments possible; accordingly, to develop a portfolio selection model and present it with its implementations. Instead of the L 2 (standard deviation), risk function which is approached as a risk by Markowitz, the L 1 (absolute deviation) risk function was used in the study and the optimal portfolios were trying to be attained. After the data acquired from the index of the Borsa Istanbul 30 index, the portfolio optimization model which is based on linear programming and was developed by Ching-Ter Chang (2005) was embraced in order to create an optimal portfolio. In this model, a new model was proposed by adding a limit on trading volume to reduce the systematic risk of the portfolio with the idea that it is one of the important indicators of the market and that it can create a decision-making risk perception. Thus, it was enabled for the portfolio to contain the equities from the industrial branch in desired numbers in accordance with the desire of the investors by adding the preference constraints on the Chang model. It can be said that this study will be useful for the investors and the finance executives who want to create a portfolio on specific risk and return level.

Portfolio Optimization with a Mean–Absolute Deviation–Entropy Multi-Objective Model

“…The MAD model has been studied for stock-bond portfolio optimization [14]. Erdas [15] has investigated the MAD model for the Borsa Istanbul 30 Index. Ghahtarani and Najafi [16] have studied the MAD model in portfolio optimization for investments.…”