Employing Weight Limits in Robust Optimization of Stock Portfolios (An applied study in the Damascus Stock Exchange)
الملخص
The main objective of this research is to clarify how to employ weight limits in robust Optimization of stock portfolios listed in the Damascus Stock Exchange, by clarifying the concept of robust Optimization and how to use them in the field of selecting the components of the optimal investment portfolio, and then determining the inputs necessary to select the components of the optimal stock portfolio using weight limits and clarifying how to estimate them and clarify the amounts of expected return and the degree of risk associated with the portfolio formed using weight limits, and thus determining the extent of the effectiveness of employing these limits in selecting the components of the optimal stock portfolio. The application was carried out on a sample of 26 shares of companies listed on the Damascus Stock Exchange during the period (1-1-2020 to 23-6-2024) and using the Microsoft Office Excel 2013 spreadsheet program in the process of Optimization and comparing the outputs within the framework of several scenarios. The study reached a set of results, the most prominent of which is that using weight limits when choosing the components of the optimal stock portfolio helps the investor in the Damascus Stock Exchange to form portfolios that are consistent with his goals in terms of the desire to maximize returns or reduce risk, according to the mathematical program formulated by him and aimed at choosing the optimal formation of the portfolio, taking into account the primary goal of the investor when formulating the objective function, which is either the degree of risk required to be reduced or the expected return required to be maximized. The resulting portfolios are highly diversified portfolios due to their distribution of capital among all stocks nominated for investment, with the largest part of it concentrated in stocks with the characteristics desired by the investor, whether in terms of return or risk.
References
1. السرميني، فداء، مفلح، هزاع، نقار، عثمان، نمذجة اختيار المحفظة الاستثمارية المثلى: تحليل مقارن، اطروحة دكتوراه غير منشورة، جامعة حماة، كلية الاقتصاد، 2023.
2. السرميني، فداء، نقار، عثمان، استخدام تِقَنِية Bayes الإحصَائيّة في أَمثَلَة المَحافظَ الاستِثمَاريّة: نموذج انكماش James-Stein، مجلة جامعة حماة، المجلد السادس، 2023.
3. آل شبيب، دريد، مبادئ الادارة المالية واتخاذ القرار، مكتبة آفاق غزة، فلسطين، ط4، 2006.
4. قاسم، عبد الرزاق، العلي، أحمد، ادارة الاستثمارات والمحافظ الاستثمارية، منشورات جامعة دمشق، سورية، 2011.
5. مطر، محمد، إدارة الاستثمارات (الإطار النظري والتطبيقات العملية)، مؤسسة الوراق للنشر والتوزيع، عمان، الأردن 1999.
6. رمضان، زياد، مبادئ الاستثمار الحقيقي والمالي، دار وائل للنشر والتوزيع، عمّان، الاردن، 2002.
7. محمد الداغر، محمود، الأسواق المالية (مؤسسات، أوراق، بورصات)، دار الشروق للنشر والتوزيع، عمّان، الاردن، 2005.
8. مفلح، هزاع، كنجو، كنجو، إدارة الاستثمار والمحَافِظ الاستثماريّة، منشورات جامعة حماة، سورية، 2019.
ثانياً- المَراجِع الأجنبيّة:
1. Abate, G., Bonafini, T., & Ferrari, P. (2022). Portfolio Constraints: An Empirical Analysis. International Journal of Financial Studies, 10(1), 1-20.
2. Basile, I., & Ferrari, P. (Eds.). (2016). Asset management and institutional investors.
3. Behr, P., Guettler, A., & Miebs, F. (2013). On portfolio optimization: Imposing the right constraints. Journal of Banking & Finance, 37(4), 1232-1242
4. Braga, M. D. (2015). Risk-based approaches to asset allocation: Concepts and practical applications.
5. Carretta, A., Fiordelisi, F., & Mattarocci, G. (Eds.). (2008). New Drivers of Performance in a Changing World. Springer.
6. Frost, P. A., & Savarino, J. E. (1988). For better performance: Constrain portfolio weights. Journal of Portfolio Management, 15(1), 29-34
7. Kim, W. C., Kim, J. H., & Fabozzi, F. J. (2016). Robust Equity Portfolio Management,+ Website: Formulations, Implementations, and Properties using MATLAB.
8. Koumou, G. B. (2021). Weight Bound Constraints in Mean-Variance Models: A Re-examination Based on Machine Learning. Available at SSRN 4027548.
9. Marcus, S., Yves-Michel, L., & Ching-Hwa, E. (2015). Applied Asset and Risk Management: A Guide to Modern Portfolio Management and Behavior-Driven Markets. Springer Science Business Media.
10. Markowitz, H. (1955). The Optimization of a Quadratic Function Subject to Linear Constraints (No. RAND-P-637-REV). RAND CORP SANTA MONICA CA.
11. Markowitz, H. M. (1959), Portfolio Selection: Efficient Diversification of Investments.
12. Markowitz, H. M. (2014). Risk-Return Analysis, Volume 1: The Theory and Practice of Rational Investing.
13. Sharpe, W. F. (1963). A simplified model for portfolio analysis. Management science, 9(2), 277-293.
14. Svetlozar, T., Stoyan, S., & Fabozzi, F. (2008). Advanced Stochastic Models, Risk Assessment, and Portfolio Optimization: The ideal Risk, Uncertainty and Performance Measures. .
15. Weston J. Fred & Euguae F . Brigham,(1972), Managerial Finance, 4th.ed., Hinsdale, The Dryden Press, Illinois.
