Developing the Markowitz Portfolio Optimization Model Concerning Investor Non - financial Considerations and Supporting Domestic Products

Nowadays, the capital market is considered an important source of financing for companies and if a suitable model for portfolio selection by considering different preferences of investors is designed, the existing capital can be directed to this market and support domestic products. This study develops the Markowitz model to consider the non-financial preferences of investors in addition to financial indicators.

Range Adjusted Measure (RAM) and Conditional Value at Risk (CVaR) model on Cross-efficiency were applied respectively to measure the Corporate Social Responsibility (CSR) score and risk, and then the multi-objective portfolio optimization model was proposed using the LP-Metric method.

Single-objective and multi-objective models (LP-Metric) with different powers were implemented in GAMS software. Examining the performance of these models using the Sharpe ratio showed that the single-objective models of maximizing returns and minimizing risk have the highest performance and the single-objective model of maximizing social responsibility have the lowest performance, respectively. The proposed model also meets at least 74.5 percent of the triple and contradictory goals according to the Sharpe ratio.

While the proposed model optimizes the three objective functions simultaneously and establishing a trade-off between these conflicting goals, has obtained a good Sharpe score compared to other models and market portfolio and a suitable portfolio on a Pareto Front has been selected and introduced among the companies with maximum return and minimum risk that have a high score of social responsibility, and if the model is applied with more powers, it will provide more companies and scenarios to investors.