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Quantifying cross-correlation between Ibovespa and Brazilian blue-chips: The DCCA approach

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  • da Silva, Marcus Fernandes
  • Leão Pereira, Éder Johnson de Area
  • da Silva Filho, Aloisio Machado
  • Nunes de Castro, Arleys Pereira
  • Miranda, José Garcia Vivas
  • Zebende, Gilney Figueira

Abstract

The objective of this paper is to demonstrate the influence of the blue-chips companies in the stock market. In this, we apply the detrended cross-correlation coefficient ρDCCA at the São Paulo stock market (Ibovespa, Brazil). Initially we found that there is a positive cross-correlation between these companies and the index. Afterwards, we show that the cross-correlation coefficient value depends on the time scale and the specific company (blue-chips). Thus, this type of analysis lets to infer what is the most adherent company with Ibovespa. Also, in this paper we analyze, in the point of view of ρDCCA, the 2008 financial crisis (before/after). Altogether, the results show that there is more cross-correlation between Ibovespa index the blue-chips after the 2008 crisis.

Suggested Citation

  • da Silva, Marcus Fernandes & Leão Pereira, Éder Johnson de Area & da Silva Filho, Aloisio Machado & Nunes de Castro, Arleys Pereira & Miranda, José Garcia Vivas & Zebende, Gilney Figueira, 2015. "Quantifying cross-correlation between Ibovespa and Brazilian blue-chips: The DCCA approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 424(C), pages 124-129.
    • Handle: RePEc:eee:phsmap:v:424:y:2015:i:c:p:124-129
    DOI: 10.1016/j.physa.2015.01.002
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    Cited by:

    1. Cai, Yuxin & Lu, Xinsheng & Ren, Yongping & Qu, Ling, 2019. "Exploring the dynamic relationship between crude oil price and implied volatility indices: A MF-DCCA approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 536(C).
    2. Oussama Tilfani & Paulo Ferreira & My Youssef El Boukfaoui, 2021. "Dynamic cross-correlation and dynamic contagion of stock markets: a sliding windows approach with the DCCA correlation coefficient," Empirical Economics, Springer, vol. 60(3), pages 1127-1156, March.
    3. Nascimento Filho, A.S. & Pereira, E.J.A.L. & Ferreira, Paulo & Murari, T.B. & Moret, M.A., 2018. "Cross-correlation analysis on Brazilian gasoline retail market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 508(C), pages 550-557.
    4. da Silva, Marcus Fernandes & de Area Leão Pereira, Éder Johnson & da Silva Filho, Aloisio Machado & de Castro, Arleys Pereira Nunes & Miranda, José Garcia Vivas & Zebende, Gilney Figueira, 2016. "Quantifying the contagion effect of the 2008 financial crisis between the G7 countries (by GDP nominal)," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 453(C), pages 1-8.
    5. Sukpitak, Jessada & Hengpunya, Varagorn, 2016. "The influence of trading volume on market efficiency: The DCCA approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 458(C), pages 259-265.
    6. Ferreira, Paulo, 2016. "Does the Euro crisis change the cross-correlation pattern between bank shares and national indexes?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 463(C), pages 320-329.
    7. Ferreira, Paulo & Loures, Luís & Nunes, José Rato & Dionísio, Andreia, 2017. "The behaviour of share returns of football clubs: An econophysics approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 472(C), pages 136-144.
    8. Zhai, Lu-Sheng & Liu, Ruo-Yu, 2019. "Local detrended cross-correlation analysis for non-stationary time series," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 513(C), pages 222-233.
    9. Yong Tang & Jason Jie Xiong & Zi-Yang Jia & Yi-Cheng Zhang, 2018. "Complexities in Financial Network Topological Dynamics: Modeling of Emerging and Developed Stock Markets," Complexity, Hindawi, vol. 2018, pages 1-31, November.
    10. Dora Almeida & Andreia Dionísio & Paulo Ferreira & Isabel Vieira, 2023. "Impact of the COVID-19 Pandemic on Cryptocurrency Markets: A DCCA Analysis," FinTech, MDPI, vol. 2(2), pages 1-17, May.
    11. Derick Quintino & José Telo da Gama & Paulo Ferreira, 2021. "Cross-Correlations in Meat Prices in Brazil: A Non-Linear Approach Using Different Time Scales," Economies, MDPI, vol. 9(4), pages 1-12, September.
    12. Thiago B. Murari & Aloisio S. Nascimento Filho & Eder J.A.L. Pereira & Paulo Ferreira & Sergio Pitombo & Hernane B.B. Pereira & Alex A.B. Santos & Marcelo A. Moret, 2019. "Comparative Analysis between Hydrous Ethanol and Gasoline C Pricing in Brazilian Retail Market," Sustainability, MDPI, vol. 11(17), pages 1-12, August.
    13. Ferreira, Paulo & Pereira, Éder Johson de Area Leão & Silva, Marcus Fernandes da & Pereira, Hernane Borges, 2019. "Detrended correlation coefficients between oil and stock markets: The effect of the 2008 crisis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 517(C), pages 86-96.
    14. Ferreira, Paulo & Kristoufek, Ladislav, 2017. "What is new about covered interest parity condition in the European Union? Evidence from fractal cross-correlation regressions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 486(C), pages 554-566.
    15. Paulo Ferreira, 2020. "Dynamic long-range dependences in the Swiss stock market," Empirical Economics, Springer, vol. 58(4), pages 1541-1573, April.
    16. Ferreira, Paulo & Kristoufek, Ladislav, 2020. "Uncovered interest rate parity through the lens of fractal methods: Evidence from the European Union," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 553(C).
    17. Paulo Ferreira, 2017. "Portuguese and Brazilian stock market integration: a non-linear and detrended approach," Portuguese Economic Journal, Springer;Instituto Superior de Economia e Gestao, vol. 16(1), pages 49-63, April.
    18. Guedes, E.F. & Brito, A.A. & Oliveira Filho, F.M. & Fernandez, B.F. & de Castro, A.P.N. & da Silva Filho, A.M. & Zebende, G.F., 2018. "Statistical test for ΔρDCCA cross-correlation coefficient," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 501(C), pages 134-140.
    19. Jale, Jader S. & Júnior, Sílvio F.A.X. & Stošić, Tatijana & Stošić, Borko & Ferreira, Tiago A.E., 2019. "Information flow between Ibovespa and constituent companies," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 516(C), pages 233-239.
    20. Guedes, E. & Dionísio, A. & Ferreira, P.J. & Zebende, G.F., 2017. "DCCA cross-correlation in blue-chips companies: A view of the 2008 financial crisis in the Eurozone," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 479(C), pages 38-47.
    21. da Silva Filho, A.M. & Zebende, G.F. & de Castro, A.P.N. & Guedes, E.F., 2021. "Statistical test for Multiple Detrended Cross-Correlation Coefficient," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 562(C).

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