Research Article

Portfolio selection based on a nonlinear neural network: An application on the Istanbul Stock Exchange (ISE30)

Volume: 68 Number: 2 August 1, 2019
EN

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

  1. Markowitz, H., Portfolio Selection, Journal of finance, (1952).
  2. Markowitz, H., Portfolio selection efficient diversification of investment, Newyork Wiley, 1959.
  3. Konno, H. and Yamazaki, H., Mean absolute portfolio optimisation model and its application to Tokyo stock market, Management Science 37 (5), (1991), 519-531.
  4. Jorion, P.H., Value at Risk: A New Benchmark for Measuring Derivatives Risk, Chicago: Irwin Professional Publishers, 1996.
  5. Simaan, Y., Estimation risk in portfolio selection: The mean variance model and the mean-absolute deviation model, Management Science, 43, (1997), 1437-1446.
  6. Rockafellar T.R. and Uryaser S.P., Optimization of Conditional Value-at-risk, J. Risk, 2, (2000), 21-41.
  7. 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.
  8. 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

APA
Yaman, İ., & Erbay Dalkılıç, T. (2019). Portfolio selection based on a nonlinear neural network: An application on the Istanbul Stock Exchange (ISE30). Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 68(2), 1709-1723. https://doi.org/10.31801/cfsuasmas.443670
AMA
1.Yaman İ, Erbay Dalkılıç T. Portfolio selection based on a nonlinear neural network: An application on the Istanbul Stock Exchange (ISE30). Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019;68(2):1709-1723. doi:10.31801/cfsuasmas.443670
Chicago
Yaman, İlgım, and Türkan Erbay Dalkılıç. 2019. “Portfolio Selection Based on a Nonlinear Neural Network: An Application on the Istanbul Stock Exchange (ISE30)”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68 (2): 1709-23. https://doi.org/10.31801/cfsuasmas.443670.
EndNote
Yaman İ, Erbay Dalkılıç T (August 1, 2019) Portfolio selection based on a nonlinear neural network: An application on the Istanbul Stock Exchange (ISE30). Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68 2 1709–1723.
IEEE
[1]İ. Yaman and T. Erbay Dalkılıç, “Portfolio selection based on a nonlinear neural network: An application on the Istanbul Stock Exchange (ISE30)”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 68, no. 2, pp. 1709–1723, Aug. 2019, doi: 10.31801/cfsuasmas.443670.
ISNAD
Yaman, İlgım - Erbay Dalkılıç, Türkan. “Portfolio Selection Based on a Nonlinear Neural Network: An Application on the Istanbul Stock Exchange (ISE30)”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68/2 (August 1, 2019): 1709-1723. https://doi.org/10.31801/cfsuasmas.443670.
JAMA
1.Yaman İ, Erbay Dalkılıç T. Portfolio selection based on a nonlinear neural network: An application on the Istanbul Stock Exchange (ISE30). Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019;68:1709–1723.
MLA
Yaman, İlgım, and Türkan Erbay Dalkılıç. “Portfolio Selection Based on a Nonlinear Neural Network: An Application on the Istanbul Stock Exchange (ISE30)”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 68, no. 2, Aug. 2019, pp. 1709-23, doi:10.31801/cfsuasmas.443670.
Vancouver
1.İlgım Yaman, Türkan Erbay Dalkılıç. Portfolio selection based on a nonlinear neural network: An application on the Istanbul Stock Exchange (ISE30). Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019 Aug. 1;68(2):1709-23. doi:10.31801/cfsuasmas.443670

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics

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