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A GARCH-based method for clustering of financial time series: International stock markets evidence

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Author Info
Caiado, Jorge
Crato, Nuno

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Abstract

In this paper, we introduce a volatility-based method for clustering analysis of financial time series. Using the generalized autoregressive conditional heteroskedasticity (GARCH) models we estimate the distances between the stock return volatilities. The proposed method uses the volatility behavior of the time series and solves the problem of different lengths. As an illustrative example, we investigate the similarities among major international stock markets using daily return series with different sample sizes from 1966 to 2006. From cluster analysis, most European markets countries, United States and Canada appear close together, and most Asian/Pacific markets and the South/Middle American markets appear in a distinct cluster. After the terrorist attack on September 11, 2001, the European stock markets have become more homogenous, and North American markets, Japan and Australia seem to come closer.

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Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 2074.

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Date of creation: 2007
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Handle: RePEc:pra:mprapa:2074

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Related research
Keywords: Cluster analysis GARCH International stock markets Volatility.

Find related papers by JEL classification:
C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models
G15 - Financial Economics - - General Financial Markets - - - International Financial Markets

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References listed on IDEAS
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  1. Theodore Syriopoulos, 2004. "International portfolio diversification to Central European stock markets," Applied Financial Economics, Taylor and Francis Journals, vol. 14(17), pages 1253-1268, November. [Downloadable!] (restricted)
  2. Caiado, Jorge & Crato, Nuno & Peña, Daniel, 2007. "Comparison of time series with unequal length," MPRA Paper 6605, University Library of Munich, Germany. [Downloadable!]
  3. Clifford Ball & Walter Torous, 2000. "Stochastic Correlation Across International Stock Markets," University of California at Los Angeles, Anderson Graduate School of Management 1063, Anderson Graduate School of Management, UCLA. [Downloadable!]
  4. A. Tahai & Robert W. Rutledge & Khondkar E. Karim, 2004. "An examination of financial integration for the group of seven (G7) industrialized countries using an I( 2 ) cointegration model," Applied Financial Economics, Taylor and Francis Journals, vol. 14(5), pages 327-335, March. [Downloadable!] (restricted)
  5. Ramchand, Latha & Susmel, Raul, 1998. "Volatility and cross correlation across major stock markets," Journal of Empirical Finance, Elsevier, vol. 5(4), pages 397-416, October. [Downloadable!] (restricted)
  6. Ammer, John & Mei, Jianping, 1996. " Measuring International Economic Linkages with Stock Market Data," Journal of Finance, American Finance Association, vol. 51(5), pages 1743-63, December. [Downloadable!] (restricted)
  7. Ball, Clifford A. & Torous, Walter N., 2000. "Stochastic correlation across international stock markets," Journal of Empirical Finance, Elsevier, vol. 7(3-4), pages 373-388, November. [Downloadable!] (restricted)
  8. Bollerslev, Tim, 1986. "Generalized autoregressive conditional heteroskedasticity," Journal of Econometrics, Elsevier, vol. 31(3), pages 307-327, April. [Downloadable!] (restricted)
  9. Bessler, David A. & Yang, Jian, 2003. "The structure of interdependence in international stock markets," Journal of International Money and Finance, Elsevier, vol. 22(2), pages 261-287, April. [Downloadable!] (restricted)
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This page was last updated on 2008-11-17.


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