Hierarchical structure in financial markets

I find a hierarchical arrangement of stocks traded in a financial market by investigating the daily time series of the logarithm of stock price. The topological space is a subdominant ultrametric space associated with a graph connecting the stocks of the portfolio analyzed. The graph is obtained starting from the matrix of correlation coefficient computed between all pairs of stocks of the portfolio by considering the synchronous time evolution of the difference of the logarithm of daily stock price. The hierarchical tree of the subdominant ultrametric space associated with the graph provides a meaningful economic taxonomy.

Authors and Affiliations

1. Istituto Nazionale per la Fisica della Materia, Unità di Palermo, 90128, Palermo, Italy

   R. N. Mantegna

2. Dipartimento di Energetica ed Applicazioni di Fisica, Università di Palermo, Viale delle Scienze, 90128, Palermo, Italy

   R. N. Mantegna

Corresponding author

Correspondence to R. N. Mantegna.

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