EN
Comparison of the Global, Local and Semi-Local Chaotic Prediction Methods for Stock Markets: The Case of FTSE-100 Index
Abstract
Chaotic prediction methods are classified as global, local and semi-local methods. In this paper, unlike the studies in the literature, it is aimed to compare all these methods together for stock markets in terms of prediction performance and to determine the best prediction method for stock markets. For this purpose, Multi-Layer Perceptron (MLP) neural networks from global methods, nearest neighbour method from local methods, radial basis functions from semi-local methods are used. The FTSE-100 index is selected to represent the stock market and applied the all methods to these data. The prediction performance is measured in term of root mean square error (RMSE) and normalized mean square error (NMSE). As a result of the analysis; it has been determined that the best prediction method for the FTSE-100 index is the semi-local method. While it is possible to make a maximum of 5 days prediction with global and local methods, it has been determined that up to 20 days prediction can be made with the semi-local prediction methods. The results show that semi-local prediction methods are successful in predicting the behaviour of stock market.
Keywords
Supporting Institution
Eskişehir Osmangazi Üniversitesi Bilimsel Araştırma Projeleri Koordinasyon Birimi
Project Number
2016-1178
Thanks
This study was supported by the Scientific Research Project Unit of Eskisehir Osmangazi University (Project number: 2016-1178).
References
- Abarbanel, H. (1996). Analysis Of Observed Chaotic Data. New York: Spinger-Verlag.
- Abarbanel, H. D., Brown, R., Kadtke, J. B. (1990). “Prediction in chaotic nonlinear systems: methods for time series with broadband fourier spectra”. Physical Review A, 41(4), 1782-1807.
- Abhyankar, A., Copeland, L. S., Wong, W. (1995). “Nonlinear dynamics in real-time equity market indices: evidence from the United Kingdom”. The Economic Journal, 864-880.
- Abhyankar, A., Copeland, L. S., Wong, W. (1997). “Uncovering nonlinear structure in real-time stock-market indexes: The S&P 500, the DAX, the NIKKEI 225 and the FTSE 100”. Journal of Business and Economic Statistics, 15(1), 1-14.
- Aihara, K., Takabe, T., Toyoda, M. (1990). Chaotic neural networks”. Physics Letters A, 144(6-7), 333-340.
- Brock, W. A., Hsieh, D. A., Lebaron, B. D. (1991). Nonlinear Dynamics, Chaos and Instability: Statistical Theory and Economic Evidence. MIT Press.Cao, L. (1997). “Practical method for determining the minimum embedding dimension of a scalar time series”. Physica D: Nonlinear Phenomena, 110(1-2), 43-50.
- Casdagli, M. (1992). “Chaos and deterministic versus stochastic non-linear modelling”. Journal of The Royal Statistical Society, Series B (Methodological), 54(2), 303-328.
- Casdagli, M. (1989). “Nonlinear prediction of chaotic time series”. Physica D: Nonlinear Phenomena, 35(3), 335-356.
Details
Primary Language
English
Subjects
Operation
Journal Section
Research Article
Publication Date
December 31, 2019
Submission Date
August 5, 2019
Acceptance Date
December 22, 2019
Published in Issue
Year 1970 Volume: 7 Number: 2