The Use of Bayes Statistical Technique in Portfolios Optimization in Damascus Stock Exchange: ( James-Stein Shrinkage model)

  • fedaa alsarmini سوريا
  • Dr. Othman Nakkar
الكلمات المفتاحية: Bayes statistical technique, Shrinkage, (mean-variance) model, Portfolios Optimization

الملخص

The aim of this research is to demonstrate the effectiveness of using the Bayes statistical technique in selecting the components of the optimal investment portfolios, by using the James-Stein model in the portfolio selection process, by applying it to a sample of the shares of companies listed in the Damascus Stock Exchange during the period(20/2/2019-20/3/2023), and to achieve this goal, the expected returns from each share and the associated risk levels were calculated, based on the techniques of the (mean-varianc) model, based on the fact that it is the basis that will be re-estimated within the framework of the James-Stein model and then used In the process of selecting the components of the investment portfolios, and after re-estimating each of the expected returns and the covariance matrix, the selection process was started and the components of the stock portfolios were determined by finding the weights of the components of each of them, and then the expected returns from the portfolios and the accompanying degrees of risk up to to design the efficient limit curve By comparing the characteristics of the portfolios resulting from the application, it is clear how effective the use of Bayes statistical technique is in the examples of investment portfolios. Despite its modification of the mechanism of the estimation process, its practical procedures do not include any steps that limit the tendency of capital concentration and the irrational selection and exclusion of the components, in addition to not taking into account the different patterns of investors and their inclinations towards risk.

References

1. مفلح، هزاع، كنجو، كنجو (2019) إدارة الاستثمار والمَحَافِظ الاستِثمَاريّة، منشورات جامعة حماة، سورية.
2. مفلح، هزاع، خلف، اسمهان (2020) الأسواق المَاليّة، منشورات جامعة حماة، سورية.
15-2- المراجع الأجنبية:
1. Baker, H. K., & Filbeck, G. (Eds.). (2013). Portfolio theory and management. Oxford university press.
2. Bodie, Z., Kane, A., & Marcus, A. J. (2014). Investments 10th e, McGraw-Hill Education.
3. Braga, M. D. (2015). Risk-Based Approaches to Asset Allocation: Concepts and Practical Applications. Springer.
4. Chopra, V. K., Hensel, C. R., & Turner, A. L. (1993). Massaging mean-variance inputs: returns from alternative global investment strategies in the 1980s. Management Science, 39(7), 845-855.
5. Fabozzi, F. J., Focardi, S. M., & Kolm, P. N. (2006). Financial modeling of the equity market: from CAPM to cointegration (Vol. 146). John Wiley & Sons.
6. Fabozzi, F. J., Kolm, P. N., Pachamanova, D. A., & Focardi, S. M. (2007). Robust portfolio optimization and management. John Wiley & Sons.
7. Frahm, G. (2010). An analytical investigation of estimators for expected asset returns from the perspective of optimal asset allocation. Available at SSRN 1564893.
8. Jorion, P. (1986). Bayes-Stein estimation for portfolio analysis. Journal of Financial and Quantitative analysis, p:283.
9. Jorion, P. (1991). Bayesian and CAPM estimators of the means: Implications for portfolio selection. Journal of Banking & Finance, 15(3), p:719.
10. Kim, W. C., Kim, J. H., & Fabozzi, F. J. (2016). Robust Equity Portfolio Management,+ Website: Formulations, Implementations, and Properties using MATLAB. John Wiley & Sons.
11. Lehmann, E. L., & Casella, G. (2006). Theory of point estimation. Springer Science & Business Media, 230-262.
12. Markowitz, H. (1987). Mean-variance Analysis in Portfolio Choice and Capital Markets. , New York: Basil Blackwel..
13. Markowitz, H. (2014). Risk-Return Analysis, Volume 1: The Theory and Practice of Rational Investing. McGraw Hill Professional
14. Markowitz, H. M., & Todd, G. P. (2000). Mean-variance analysis in portfolio choice and capital markets (Vol. 66). John Wiley & Sons.
15. Meyer-Bullerdiek, F. (2021). Out-of-sample performance of the Black-Litterman model. Journal of Finance and Investment Analysis, 10(2), 29-51.
16. Michaud, R. O., & Michaud, R. O. (2008). Efficient asset management: a practical guide to stock portfolio optimization and asset allocation. Oxford University Press
17. Nguyen, N., Nguyen, T., Tran, T., & Mai, A. (2020). Shrinkage model selection for portfolio optimization on Vietnam stock market. The Journal of Asian Finance, Economics, and Business, 7(9), 135-145.
18. Peleg, D. (2014). Fundamental Models in financial theory. MIT Press. Cambridge. London..
19. Petrone, S., Rousseau, J., & Scricciolo, C. (2014). Bayes and empirical Bayes: do they merge?. Biometrika, 101(2), p:285-286.
20. Prigent, J. L. (2007). Portfolio optimization and performance analysis. CRC Press. p:84.
21. Rachev, S. T., Hsu, J. S., Bagasheva, B. S., & Fabozzi, F. J. (2008). Bayesian methods in finance (Vol. 153). John Wiley & Sons.
22. Rachev, S.T., Stoyanov, S.V., Fabozzi, F.J., (2008). Advanced Stochastic Models, Risk Assessment, and Portfolio Optimization. John Wiley & Sons.
23. Rasmussen, M. (2002). Quantitative Portfolio Optimization, Asset Allocation and Risk Management: A Practical Guide to Implementing Quantitative Investment Theory. Springer.
24. Read, C. (2011). The Portfolio Theorists (Vol. 240). Basingstoke: Palgrave Macmillan.
25. Scherer, B. (2007). Portfolio construction and risk budgeting, Risk Books, a division of the Risk Waters Group.
26. Stein, C. (1955). Inadmissibility of the usual estimator for the mean of a multivariate normal distribution. In Contribution to the Theory of Statistics, University of California Press.
27. Stein, C. (1956). Inadmissibility of the usual estimator for the mean of a multivariate normal distribution. Stanford University Stanford United States.
28. Stein, C., & James, W. (1961). Estimation with quadratic loss. In Proc. 4th Berkeley Symp. Mathematical Statistics Probability (Vol. 1, pp. 361-379).
منشور
2024-02-28
How to Cite
alsarmini, fedaa, & Dr. Othman Nakkar. (2024). The Use of Bayes Statistical Technique in Portfolios Optimization in Damascus Stock Exchange: ( James-Stein Shrinkage model). Journal of Hama University , 6(السادس عشر). Retrieved from https://hama-univ.edu.sy/ojs/index.php/huj/article/view/1694