Investigating the Efficiency of the 1/N Model in Portfolio Selection

Document Type : Research Paper

Authors

1 Prof., Department of Finance and Insurance, Faculty of Management, University of Tehran, Tehran, Iran.

2 Assistant Prof., Finance and Insurance Department, Faculty of Management, University of Tehran, Tehran, Iran

3 Ph.D. Candidate, Department of Finance and Insurance, Faculty of Management, University of Tehran, Tehran, Iran.

Abstract

Objective: Since Markowitz's (1952) pioneering work on a single-period investment model, mean-variance portfolio optimization problem has become a cornerstone of investment management in both academic and industrial fields. Despite the presence of various theories and methods, the  model continues to be considered in the portfolio selection, because it doesn`t need to estimate other parameters in optimization and computes simply. The objective of this study was to investigate the performance of Model  in the portfolio.
Methods:In this paper, various models and methods have been used to select the optimal portfolios and to evaluate the performance of the portfolio. At the end of the paper, the ELECTRE multi-criteria decision-making method has been used to rank the portfolio selection models. Portfolio selection models in this paper include  model, mean-variance model, minimum-variance model and composition of the minimum-variance model and  model. In this paper, various criteria such as Sharpe ratio, Trainer ratio, Modigliani and Modigliani ratio, Sortino ratio, Information ratio have been used to measure portfolio performance.
Results: Relatively, the performance of the  model was better in terms of Sharpe ratio and Modigliani and Modigliani ratio, the performance of the mean-variance model in terms of Trainer ratio, and the performance of the composition of the minimum-variance model and  model in terms of Sortino ratio and Information ratio.
Conclusion: Finally, the ELECTRE multi-criteria decision-making method has been used to rank the portfolio selection models. The results indicate that  model and minimum-variance model is superior to other models.

Keywords


Abrishami, A. and Yousefi Zenouz, R. (2016). Portfolio Selection by Robust Optimization. Journal of Financial Researches, 16(2), 201-218. (in Persian)
Asgharpoor, M. J. (2006). Multiple Criteria Decision Analysis. Tehran: University of Tehran Publication. (in Persian)
Behr, P., Guettler, A. & Truebenbach, F. (2011). Using industry momentum to improve portfolio performance. Journal of Banking & Finance, 36(5), 1414-1423.
Chaves, D. B., Hsu, J. C. & Shakernia, O. (2011). Efficient Algorithms for Computing Risk Parity Portfolio Weights. Journal of Investing, 3, 150-163.
DeMiguel, V., Garlappi L., & Uppal, R. (2009). Optimal versus naive diversification: How inefficient is the 1/N portfolio strategy? Review of Financial Studies, 22(5), 1915–1953.
Fabozzi, F. J., Neave, E. H. and Zhou, G. (2011). Financial Economics. Wiley.
Fletcher, J. (2015). Exploring the benefits of using stock characteristics in optimal portfolio strategies. European Journal of Finance, 19, 192-210.
Ghasemi, H. and Najafi, A. (2014). Portfolio Optimization in terms of Justifiability Short Selling and Some Market Practical Constraints. Journal of Financial Researches, 14(2), 117-132. (in Persian)
Kirby, C. & Ostdiek, B. (2012). It’s All in the Timing: Simple Active Portfolio Strategies that Outperform Naïve Diversification. Journal of Financial and Quantitative Analysis, 47(2), 437-467.
Le Sourd, V. (2007). Performance Measurement for Traditional Investment. Literature Survey, London: EDHEC Risk and Asset Management Research Centre.
Low, R., Faff, R. & Aas, K. (2016). Enhancing Mean-Variance Portfolio Selection by Modeling Distributional Asymmetries. Journal of Economics and Business, 85, 49–72.
Markowitz, H. (1952). Portfolio selection. Journal of Finance, 7(1), 77-91.
Markowitz, H. (1959). Portfolio allocation: Efficient diversification of investments. New York: John Wiley & Sons.
Michaud, R. O. (1989). The Markowitz Optimization Enigma: is Optimized Optimal? Financial Analysts Journal, 45(1), 31-42.
Mohaghar, A. & Yonesifar, S. (2016). Decision Making Techniques in MADM. Tehran: University of Tehran Press. (in Persian)
Mousseau, V. & Slowinski, R. (1998). Inferring an ELECTRE TRI model from Assignment Examples. Journal of Global Optimization, 12, 157-174.
Pertalta, G., & Zareei, A. (2016). A Network Approach to Portfolio Selection. Journal of Empirical Finance, 38(1), 157-180.
Raei, R., & Pooyanfar, A. (2010). Advanced Investment Management. Tehran, Samt.
(in Persian)
Sortino, F. A., & Price, L. N. (1994). Performance measurement in a downside risk framework. The Journal of Investing, 3(3), 59-64.