Portfolio selection based on a nonlinear neural network: An application on the Istanbul Stock Exchange (ISE30)
Abstract
Heuristic techniques have used frequently in portfolio optimization problem. However, almost none of these techniques used a neural network to allocate the proportion of stocks. The main goal of portfolio optimization problem is minimizing the risk of portfolio while maximizing the expected return of the portfolio. This study tackles a neural network in order to solve the portfolio optimization problem. The data set is the daily price of Istanbul Stock Exchange-30 (ISE-30) from May 2015 to May 2017. This study uses Markowitz’s Mean-Variance model. Indeed, the portfolio optimization model is quadratic programming (QP) problem. Therefore, many heuristic methods were used to solve portfolio optimization method such as particle swarm optimization, ant colony optimization etc. In fact, these methods do not satisfy stock markets demands in the financial world. This study proposed a nonlinear neural network to solve the portfolio optimization problem.
Keywords
References
- Markowitz, H., Portfolio Selection, Journal of finance, (1952).
- Markowitz, H., Portfolio selection efficient diversification of investment, Newyork Wiley, 1959.
- Konno, H. and Yamazaki, H., Mean absolute portfolio optimisation model and its application to Tokyo stock market, Management Science 37 (5), (1991), 519-531.
- Jorion, P.H., Value at Risk: A New Benchmark for Measuring Derivatives Risk, Chicago: Irwin Professional Publishers, 1996.
- Simaan, Y., Estimation risk in portfolio selection: The mean variance model and the mean-absolute deviation model, Management Science, 43, (1997), 1437-1446.
- Rockafellar T.R. and Uryaser S.P., Optimization of Conditional Value-at-risk, J. Risk, 2, (2000), 21-41.
- Yan, W. and Li, S., A Class of Multi-period Semi-variance Portfolio Selection with a Four-factor Futures Price Model, J. Appl. Math. Comput, 29, (2009), 19-34.
- Junhui, F., Weiguo, Z., Qian, L. and Qin, M., Nonlinear Futures Hedging Model Based on Skewness Risk and Kurtosis Risk, Systems Engineering, 27(10), (2009), 44-48.
Details
Primary Language
English
Subjects
Mathematical Sciences
Journal Section
Research Article
Publication Date
August 1, 2019
Submission Date
July 13, 2018
Acceptance Date
December 24, 2018
Published in Issue
Year 2019 Volume: 68 Number: 2
