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On interrelations of recurrences and connectivity trends between stock indices

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  • Goswami, B.
  • Ambika, G.
  • Marwan, N.
  • Kurths, J.

Abstract

Financial data has been extensively studied for correlations using Pearson’s cross-correlation coefficient ρ as the point of departure. We employ an estimator based on recurrence plots — the correlation of probability of recurrence (CPR) — to analyze connections between nine stock indices spread worldwide. We suggest a slight modification of the CPR approach in order to get more robust results. We examine trends in CPR for an approximately 19-month window moved along the time series and compare them to trends in ρ. Binning CPR into three levels of connectedness (strong, moderate, and weak), we extract the trends in number of connections in each bin over time. We also look at the behavior of CPR during the dot-com bubble by shifting the time series to align their peaks. CPR mainly uncovers that the markets move in and out of periods of strong connectivity erratically, instead of moving monotonically towards increasing global connectivity. This is in contrast to ρ, which gives a picture of ever-increasing correlation. CPR also exhibits that time-shifted markets have high connectivity around the dot-com bubble of 2000. We use significance tests using twin surrogates to interpret all the measures estimated in the study.

Suggested Citation

  • Goswami, B. & Ambika, G. & Marwan, N. & Kurths, J., 2012. "On interrelations of recurrences and connectivity trends between stock indices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(18), pages 4364-4376.
  • Handle: RePEc:eee:phsmap:v:391:y:2012:i:18:p:4364-4376
    DOI: 10.1016/j.physa.2012.04.018
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    References listed on IDEAS

    as
    1. Onnela, J.-P. & Chakraborti, A. & Kaski, K. & Kertész, J., 2003. "Dynamic asset trees and Black Monday," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 324(1), pages 247-252.
    2. Eom, Cheoljun & Oh, Gabjin & Kim, Seunghwan, 2007. "Deterministic factors of stock networks based on cross-correlation in financial market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 383(1), pages 139-146.
    3. G. Bonanno & G. Caldarelli & F. Lillo & S. Micciché & N. Vandewalle & R. Mantegna, 2004. "Networks of equities in financial markets," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 38(2), pages 363-371, March.
    4. Cheoljun Eom & Gabjin Oh & Seunghwan Kim, 2007. "Deterministic Factors of Stock Networks based on Cross-correlation in Financial Market," Papers 0705.0076, arXiv.org.
    5. Jean Imbs, 2004. "Trade, Finance, Specialization, and Synchronization," The Review of Economics and Statistics, MIT Press, vol. 86(3), pages 723-734, August.
    6. R. Mantegna, 1999. "Hierarchical structure in financial markets," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 11(1), pages 193-197, September.
    7. Bouchaud, Jean-Philippe & Potters, Marc, 2001. "More stylized facts of financial markets: leverage effect and downside correlations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 299(1), pages 60-70.
    8. Bonanno, Giovanni & Lillo, Fabrizio & Mantegna, Rosario N., 2001. "Levels of complexity in financial markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 299(1), pages 16-27.
    9. Granger, C. W. J., 1981. "Some properties of time series data and their use in econometric model specification," Journal of Econometrics, Elsevier, vol. 16(1), pages 121-130, May.
    10. Annalisa Fabretti & Marcel Ausloos, 2005. "Recurrence analysis of the NASDAQ crash of April 2000," Papers physics/0505170, arXiv.org.
    11. Conlon, T. & Ruskin, H.J. & Crane, M., 2009. "Cross-correlation dynamics in financial time series," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(5), pages 705-714.
    12. Coelho, R. & Hutzler, S. & Repetowicz, P. & Richmond, P., 2007. "Sector analysis for a FTSE portfolio of stocks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 373(C), pages 615-626.
    13. Çukur, Sadik & Eryiğit, Mehmet & Eryiğit, Resul, 2007. "Cross correlations in an emerging market financial data," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 376(C), pages 555-564.
    14. Drożdż, S & Grümmer, F & Ruf, F & Speth, J, 2001. "Towards identifying the world stock market cross-correlations: DAX versus Dow Jones," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 294(1), pages 226-234.
    15. Engle, Robert & Granger, Clive, 2015. "Co-integration and error correction: Representation, estimation, and testing," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 39(3), pages 106-135.
    16. Bastos, João A. & Caiado, Jorge, 2011. "Recurrence quantification analysis of global stock markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(7), pages 1315-1325.
    17. Kwapień, J & Drożdż, S & Speth, J, 2004. "Time scales involved in emergent market coherence," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 337(1), pages 231-242.
    18. Strozzi, Fernanda & Zaldı́var, José-Manuel & Zbilut, Joseph P, 2002. "Application of nonlinear time series analysis techniques to high-frequency currency exchange data," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 312(3), pages 520-538.
    19. Annalisa Fabretti & Marcel Ausloos, 2006. "Recurrence analysis near the NASDAQ crash of April 2000," Springer Books, in: Hideki Takayasu (ed.), Practical Fruits of Econophysics, pages 52-56, Springer.
    20. Guhathakurta, Kousik & Bhattacharya, Basabi & Chowdhury, A. Roy, 2010. "Using recurrence plot analysis to distinguish between endogenous and exogenous stock market crashes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(9), pages 1874-1882.
    21. Coelho, Ricardo & Gilmore, Claire G. & Lucey, Brian & Richmond, Peter & Hutzler, Stefan, 2007. "The evolution of interdependence in world equity markets—Evidence from minimum spanning trees," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 376(C), pages 455-466.
    22. Dror Y Kenett & Michele Tumminello & Asaf Madi & Gitit Gur-Gershgoren & Rosario N Mantegna & Eshel Ben-Jacob, 2010. "Dominating Clasp of the Financial Sector Revealed by Partial Correlation Analysis of the Stock Market," PLOS ONE, Public Library of Science, vol. 5(12), pages 1-14, December.
    23. Marc Potters & Jean-Philippe Bouchaud, 2001. "More stylized facts of financial markets: leverage effect and downside correlations," Science & Finance (CFM) working paper archive 29960, Science & Finance, Capital Fund Management.
    24. Wilcox, Diane & Gebbie, Tim, 2004. "On the analysis of cross-correlations in South African market data," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 344(1), pages 294-298.
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