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Degree stability of a minimum spanning tree of price return and volatility

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  • Miccichè, Salvatore
  • Bonanno, Giovanni
  • Lillo, Fabrizio
  • N. Mantegna, Rosario

Abstract

We investigate the time series of the degree of minimum spanning trees (MSTs) obtained by using a correlation-based clustering procedure which starts from (i) asset return and (ii) volatility time series. The MST is obtained at different times by computing correlation among time series over a time window of fixed length T. We find that the MST of asset return is characterized by stock degree values, which are more stable in time than the ones obtained by analyzing a MST computed starting from volatility time series. Our analysis also shows that the degree of stocks has a very slow dynamics with a time scale of several years in both cases.

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Bibliographic Info

Article provided by Elsevier in its journal Physica A: Statistical Mechanics and its Applications.

Volume (Year): 324 (2003)
Issue (Month): 1 ()
Pages: 66-73

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Handle: RePEc:eee:phsmap:v:324:y:2003:i:1:p:66-73

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Web page: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/

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Keywords: Econophysics; Correlation-based clustering; Volatility;

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Cited by:
  1. M. Tumminello & F. Lillo & R. N. Mantegna, 2008. "Correlation, hierarchies, and networks in financial markets," Papers 0809.4615, arXiv.org.
  2. Trancoso, Tiago, 2014. "Emerging markets in the global economic network: Real(ly) decoupling?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 395(C), pages 499-510.
  3. Leonidas Sandoval Junior, 2011. "Cluster formation and evolution in networks of financial market indices," Papers 1111.5069, arXiv.org.
  4. Cheong, Siew Ann & Fornia, Robert Paulo & Lee, Gladys Hui Ting & Kok, Jun Liang & Yim, Woei Shyr & Xu, Danny Yuan & Zhang, Yiting, 2011. "The Japanese economy in crises: A time series segmentation study," Economics Discussion Papers 2011-24, Kiel Institute for the World Economy.
  5. Sandoval, Leonidas, 2012. "Pruning a minimum spanning tree," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(8), pages 2678-2711.
  6. 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.
  7. Kantar, Ersin & Keskin, Mustafa, 2013. "The relationships between electricity consumption and GDP in Asian countries, using hierarchical structure methods," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(22), pages 5678-5684.
  8. 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.
  9. Hawkins, Raymond & Aoki, Masanao, 2008. "Macroeconomic Relaxation: Adjustment Processes of Hierarchical Economic Structures," Economics Discussion Papers 2008-35, Kiel Institute for the World Economy.
  10. Miśkiewicz, Janusz, 2013. "Power law classification scheme of time series correlations. On the example of G20 group," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(9), pages 2150-2162.
  11. 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.
  12. Leonidas Sandoval Junior, 2011. "A Map of the Brazilian Stock Market," Papers 1107.4146, arXiv.org, revised Mar 2013.
  13. Cheong, Siew Ann & Fornia, Robert Paulo & Lee, Gladys Hui Ting & Kok, Jun Liang & Yim, Woei Shyr & Xu, Danny Yuan & Zhang, Yiting, 2012. "The Japanese economy in crises: A time series segmentation study," Economics - The Open-Access, Open-Assessment E-Journal, Kiel Institute for the World Economy, vol. 6(5), pages 1-81.
  14. Leonidas Sandoval Junior, 2011. "Pruning a Minimum Spanning Tree," Papers 1109.0642, arXiv.org.
  15. Ulusoy, Tolga & Keskin, Mustafa & Shirvani, Ayoub & Deviren, Bayram & Kantar, Ersin & Çaǧrı Dönmez, Cem, 2012. "Complexity of major UK companies between 2006 and 2010: Hierarchical structure method approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(21), pages 5121-5131.

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