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Towards identifying the world stock market cross-correlations: DAX versus Dow Jones

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  • Drożdż, S
  • Grümmer, F
  • Ruf, F
  • Speth, J

Abstract

Effects connected with the world globalization affect also the financial markets. In quantifying the related characteristics, we study the financial empirical correlation matrix of the 60 companies which both the Deutsche Aktienindex (DAX) and the Dow Jones (DJ) industrial average comprised during the years 1990–99. The time-dependence of the underlying cross-correlations is monitored using a time window of 60 trading days. Our study shows that if the time-zone delays are properly accounted for the two distant markets largely merge into one. This effect is particularly visible during the last few years. It is however, the Dow Jones which dictates the trend.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:294:y:2001:i:1:p:226-234
    DOI: 10.1016/S0378-4371(01)00119-4
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    Cited by:

    1. Martins, André C.R., 2007. "Non-stationary correlation matrices and noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 379(2), pages 552-558.
    2. James, Nick & Menzies, Max & Chok, James & Milner, Aaron & Milner, Cas, 2023. "Geometric persistence and distributional trends in worldwide terrorism," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).
    3. Bommarito, Michael J. & Duran, Ahmet, 2018. "Spectral analysis of time-dependent market-adjusted return correlation matrix," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 503(C), pages 273-282.
    4. El Alaoui, Marwane & Benbachir, Saâd, 2013. "Multifractal detrended cross-correlation analysis in the MENA area," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(23), pages 5985-5993.
    5. Sandoval, Leonidas, 2014. "To lag or not to lag? How to compare indices of stock markets that operate on different times," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 403(C), pages 227-243.
    6. James, Nick & Menzies, Max, 2023. "An exploration of the mathematical structure and behavioural biases of 21st century financial crises," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 630(C).
    7. Marcin Wk{a}torek & Jaros{l}aw Kwapie'n & Stanis{l}aw Dro.zd.z, 2021. "Financial Return Distributions: Past, Present, and COVID-19," Papers 2107.06659, arXiv.org.
    8. Adriana AnaMaria Davidescu & Eduard Mihai Manta & Razvan Gabriel Hapau & Mihaela Gruiescu & Oana Mihaela Vacaru (Boita), 2023. "Exploring the Contagion Effect from Developed to Emerging CEE Financial Markets," Mathematics, MDPI, vol. 11(3), pages 1-50, January.
    9. Stanis{l}aw Dro.zd.z & Jaros{l}aw Kwapie'n & Marcin Wk{a}torek, 2023. "What is mature and what is still emerging in the cryptocurrency market?," Papers 2305.05751, arXiv.org.
    10. Wang, Gang-Jin & Xie, Chi, 2015. "Correlation structure and dynamics of international real estate securities markets: A network perspective," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 424(C), pages 176-193.
    11. Mario González & María del Mar Alonso-Almeida & David Dominguez, 2018. "Mapping global sustainability report scoring: a detailed analysis of Europe and Asia," Quality & Quantity: International Journal of Methodology, Springer, vol. 52(3), pages 1041-1055, May.
    12. 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.
    13. Batmunkh John Munkh-Ulzii & Michael McAleer & Massoud Moslehpour & Wing-Keung Wong, 2018. "Confucius and Herding Behaviour in the Stock Markets in China and Taiwan," Sustainability, MDPI, vol. 10(12), pages 1-16, November.
    14. Menezes, Rui & Dionísio, Andreia & Hassani, Hossein, 2012. "On the globalization of stock markets: An application of Vector Error Correction Model, Mutual Information and Singular Spectrum Analysis to the G7 countries," The Quarterly Review of Economics and Finance, Elsevier, vol. 52(4), pages 369-384.
    15. James, Nick & Menzies, Max & Chin, Kevin, 2022. "Economic state classification and portfolio optimisation with application to stagflationary environments," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
    16. B. Goswami & G. Ambika & N. Marwan & J. Kurths, 2011. "On interrelations of recurrences and connectivity trends between stock indices," Papers 1103.5189, arXiv.org.
    17. Sandoval, Leonidas Junior, 2013. "To lag or not to lag? How to compare indices of stock markets that operate at different times," Insper Working Papers wpe_319, Insper Working Paper, Insper Instituto de Ensino e Pesquisa.
    18. Sandoval, Leonidas & Franca, Italo De Paula, 2012. "Correlation of financial markets in times of crisis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(1), pages 187-208.
    19. James, Nick, 2021. "Dynamics, behaviours, and anomaly persistence in cryptocurrencies and equities surrounding COVID-19," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 570(C).
    20. Rui Menezes, 2013. "Globalization and Granger Causality in International Stock Markets," International Journal of Finance, Insurance and Risk Management, International Journal of Finance, Insurance and Risk Management, vol. 3(1), pages 413-413.
    21. 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.
    22. Tao You & Paweł Fiedor & Artur Hołda, 2015. "Network Analysis of the Shanghai Stock Exchange Based on Partial Mutual Information," JRFM, MDPI, vol. 8(2), pages 1-19, June.
    23. Gang-Jin Wang & Chi Xie & H. Eugene Stanley, 2018. "Correlation Structure and Evolution of World Stock Markets: Evidence from Pearson and Partial Correlation-Based Networks," Computational Economics, Springer;Society for Computational Economics, vol. 51(3), pages 607-635, March.

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    Keywords

    Econophysics; Cross-correlations;

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