IDEAS home Printed from https://ideas.repec.org/a/eco/journ1/2015-02-24.html
   My bibliography  Save this article

Chaotic Structure of the BRIC Countries and Turkey's Stock Market

Author

Listed:
  • Samet G nay

    (Department of Banking and Finance, School of Applied Sciences, Istanbul Arel University, Istanbul, Turkey.)

Abstract

In this study, the parameters of chaos are analyzed for the leading emerging stock markets: Brazil, Russia, India, China, and Turkey (BRIC-T). As chaos has properties such as nonlinearity, sensitivity to initial conditions, and fractality, we performed different methods to identify the existence of the chaos in stock index returns of the BRIC-T countries, using the Brock-Dechert-Scheinkman test, the Largest Lyapunov exponent and the Box-Counting method. Although there is widespread interest in chaos in finance theory, previous studies have neglected the long memory issue in their filtering model of nonlinear behaviors. Due to the fact that the Rescaled Range (R/S) analysis and Smith's (2005) modified GPH test indicated long memory in the index returns, we filtered the linear structure of the returns using the methods (ARFIMA, FIGARCH, FIEGARCH) which take long memory into account. Though the results have some significant evidence of chaos, the findings are too weak to support the presence of chaos in the stock markets of BRIC-T countries.

Suggested Citation

  • Samet G nay, 2015. "Chaotic Structure of the BRIC Countries and Turkey's Stock Market," International Journal of Economics and Financial Issues, Econjournals, vol. 5(2), pages 515-522.
  • Handle: RePEc:eco:journ1:2015-02-24
    as

    Download full text from publisher

    File URL: http://www.econjournals.com/index.php/ijefi/article/download/1051/pdf
    Download Restriction: no

    File URL: http://www.econjournals.com/index.php/ijefi/article/view/1051/pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. 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 & Economic Statistics, American Statistical Association, vol. 15(1), pages 1-14, January.
    2. Brock, W. A., 1986. "Distinguishing random and deterministic systems: Abridged version," Journal of Economic Theory, Elsevier, vol. 40(1), pages 168-195, October.
    3. Guglielmo Maria Caporale, 2005. "The BDS Test as a Test for the Adequacy of a GARCH(1,1) Specification: A Monte Carlo Study," Journal of Financial Econometrics, Oxford University Press, vol. 3(2), pages 282-309.
    4. Bajo-Rubio, Oscar & Fernandez-Rodriguez, Fernando & Sosvilla-Rivero, Simon, 1992. "Chaotic behaviour in exchange-rate series : First results for the Peseta--U.S. dollar case," Economics Letters, Elsevier, vol. 39(2), pages 207-211, June.
    5. Arjun Chatrath & Bahram Adrangi & Todd Shank, 2001. "Nonlinear Dependence in Gold and Silver Futures: Is it Chaos?," The American Economist, Sage Publications, vol. 45(2), pages 25-32, October.
    6. John Barkoulas & Nickolaos Travlos, 1998. "Chaos in an emerging capital market? The case of the Athens Stock Exchange," Applied Financial Economics, Taylor & Francis Journals, vol. 8(3), pages 231-243.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Ivani Bora & Naliniprava Tripathy, 2016. "Random or Deterministic? Evidence from Indian Stock Market," International Journal of Economics and Financial Issues, Econjournals, vol. 6(4), pages 1716-1721.
    2. Zouhaier Dhifaoui, 2022. "Determinism and Non-linear Behaviour of Log-return and Conditional Volatility: Empirical Analysis for 26 Stock Markets," South Asian Journal of Macroeconomics and Public Finance, , vol. 11(1), pages 69-94, June.
    3. Adil Yilmaz & Gazanfer Unal, 2016. "Chaos in Fractionally Integrated Generalized Autoregressive Conditional Heteroskedastic Processes," Papers 1601.08099, arXiv.org, revised Feb 2016.
    4. Gencer, Murat & Unal, Gazanfer, 2016. "Testing Non-Linear Dynamics, Long Memory and Chaotic Behaviour of Energy Commodities," MPRA Paper 74115, University Library of Munich, Germany.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Marisa Faggini, 2011. "Chaotic Time Series Analysis in Economics: Balance and Perspectives," Working papers 25, Former Department of Economics and Public Finance "G. Prato", University of Torino.
    2. Ohashi, Alberto Masayoshi F ., 2001. "Instability and chaotic dynamics in stock returns," Brazilian Review of Econometrics, Sociedade Brasileira de Econometria - SBE, vol. 21(2), November.
    3. McKenzie, Michael D., 2001. "Chaotic behavior in national stock market indices: New evidence from the close returns test," Global Finance Journal, Elsevier, vol. 12(1), pages 35-53.
    4. Kian-Ping Lim & Venus Khim-Sen Liew & Hock-Tsen Wong, 2003. "Weak-form Efficient Market Hypothesis, Behavioural Finance and Episodic Transient Dependencies: The Case of the Kuala Lumpur Stock Exchange," Finance 0312012, University Library of Munich, Germany.
    5. Zhong, Ming & Chang,Tsangyao & Tzeng, Han-Wen, 2014. "International Equity Diversification Between the United States and Brics Countries," Journal for Economic Forecasting, Institute for Economic Forecasting, vol. 0(1), pages 123-138, March.
    6. Bunyamin Demir & Nesrin Alptekin & Yilmaz Kilicaslan & Mehmet Ergen & Nilgun Caglairmak Uslu, 2015. "Forecasting Agricultural Production: A Chaotic Dynamic Approach," World Journal of Applied Economics, WERI-World Economic Research Institute, vol. 1(1), pages 65-80, June.
    7. Degiannakis, Stavros & Xekalaki, Evdokia, 2007. "Assessing the Performance of a Prediction Error Criterion Model Selection Algorithm in the Context of ARCH Models," MPRA Paper 96324, University Library of Munich, Germany.
    8. Olmedo, Elena, 2011. "Is there chaos in the Spanish labour market?," Chaos, Solitons & Fractals, Elsevier, vol. 44(12), pages 1045-1053.
    9. Hock-Ann Lee & Kian-Ping Lim & Venus Khim-Sen Liew, 2009. "Is There Any International Diversification Benefits in ASEAN Stock Markets?," Economics Bulletin, AccessEcon, vol. 29(1), pages 392-406.
    10. Borusyak, K., 2011. "Nonlinear Dynamics of the Russian Stock Market in Problems of Risk Management," Journal of the New Economic Association, New Economic Association, issue 11, pages 85-105.
    11. Kian-Ping Lim & Hock-Ann Lee & Venus Khim-Sen Liew, 2003. "International Diversification Benefits in ASEAN Stock Markets: a Revisit," Finance 0308003, University Library of Munich, Germany.
    12. Elena Olmedo & Ricardo Gimeno & Lorenzo Escot & Ruth Mateos, 2007. "Convergencia y Estabilidad de los Tipos de Cambio Europeos: Una Aplicación de Exponentes de Lyapunov," Latin American Journal of Economics-formerly Cuadernos de Economía, Instituto de Economía. Pontificia Universidad Católica de Chile., vol. 44(129), pages 91-108.
    13. Olmedo,E. & Velasco, F. & Valderas, J.M., 2007. "Caracterización no lineal y predicción no paramétrica en el IBEX35/Nonlinear Characterization and Predictions of IBEX 35," Estudios de Economia Aplicada, Estudios de Economia Aplicada, vol. 25, pages 815-842, Diciembre.
    14. Mototsugu Shintani & Oliver Linton, 2003. "Is There Chaos in the World Economy? A Nonparametric Test Using Consistent Standard Errors," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 44(1), pages 331-357, February.
    15. Cecen, A. Aydin & Erkal, Cahit, 1996. "Distinguishing between stochastic and deterministic behavior in high frequency foreign exchange rate returns: Can non-linear dynamics help forecasting?," International Journal of Forecasting, Elsevier, vol. 12(4), pages 465-473, December.
    16. Kian-Ping Lim & M. Azali & M.S. Habibullah & Venus Khim-Sen Liew, 2003. "Are Non-Linear Dynamics a Universal Occurrence? Further Evidence From Asian Stock Markets," Finance 0308001, University Library of Munich, Germany.
    17. Kian-Ping Lim & Venus Khim-Sen Liew, 2003. "Testing for Non-Linearity in ASEAN Financial Markets," Finance 0308002, University Library of Munich, Germany.
    18. Oliver Moritz, 2001. "Is the German Stock Market Chaotic ? Some NEGM- and BDS-test results for the DAX," CeNDEF Workshop Papers, January 2001 3A.2, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
    19. Anagnostidis, Panagiotis & Emmanouilides, Christos J., 2015. "Nonlinearity in high-frequency stock returns: Evidence from the Athens Stock Exchange," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 421(C), pages 473-487.
    20. Marcos Álvarez-Díaz & Alberto Álvarez, 2002. "Predicción No-Lineal De Tipos De Cambio: Algoritmos Genéticos, Redes Neuronales Y Fusión De Datos," Working Papers 0205, Universidade de Vigo, Departamento de Economía Aplicada.

    More about this item

    Keywords

    Chaos; Fractals; Largest Lyapunov Exponent; Brock-Dechert-Scheinkman Test; Fractal Dimension;
    All these keywords.

    JEL classification:

    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • G10 - Financial Economics - - General Financial Markets - - - General (includes Measurement and Data)

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eco:journ1:2015-02-24. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Ilhan Ozturk (email available below). General contact details of provider: http://www.econjournals.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.