Dynamical Hierarchical Tree in Currency Markets

• Juan Gabriel Brida ^[1] ; David Matesanz Gómez ^[2] ; Wiston Adrián Risso ^[3]
  1. [1] Free University of Bozen-Bolzano

     Free University of Bozen-Bolzano

     Bolzano, Italia

     
  2. [2] Universidad de Oviedo

     Universidad de Oviedo

     Oviedo, España

     
  3. [3] Università degli Studi di Siena

     Università degli Studi di Siena

     Siena, Italia

     

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• Localización: Notas técnicas: [continuación de Documentos de Trabajo FUNCAS], ISSN-e 1988-8767, Nº. 332, 2007
• Idioma: español
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• Resumen

  • In this paper we introduce a new method to describe dynamical patterns of the real exchange rate movements time series and to analyze contagion in currency crisis. The method combines the tools of Symbolic Time Series Analysis [19] with the nearest neighbor single linkage clustering algorithm [35]. Data symbolization allows to obtain a metric distance between two different time series that is used to construct an ultrametric distance. By analyzing the data of various countries, we derive a hierarchical organization, constructing minimal-spanning and hierarchical trees.

    From these trees we detect different clusters of countries according to their proximity. We show that the derived clusters corresponds with the geographical location of the countries. The obtained classification of countries can be used to study the contagion phenomena in currency crisis.