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Dynamics of market correlations: Taxonomy and portfolio analysis

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Onnela, J.-P., Chakraborti, A., Kaski, K., Kertész, J., Kanto, A.·2003·Physical Review E

Abstract

The time dependence of the recently introduced minimum spanning tree description of correlations between stocks, called the "asset tree" has been studied in order to reflect the financial market taxonomy. The nodes of the tree are identified with stocks and the distance between them is a unique function of the corresponding element of the correlation matrix. By using the concept of a central vertex, chosen as the most strongly connected node of the tree, an important characteristic is defined by the mean occupation layer. During crashes, due to the strong global correlation in the market, the tree shrinks topologically, and this is shown by a low value of the mean occupation layer. The tree seems to have a scale-free structure where the scaling exponent of the degree distribution is different for "business as usual" and "crash" periods. The basic structure of the tree topology is very robust with respect to time. We also point out that the diversification aspect of portfolio optimization results in the fact that the assets of the classic Markowitz portfolio are always located on the outer leaves of the tree. Technical aspects such as the window size dependence of the investigated quantities are also discussed.

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Metadata

Authors
Onnela, J.-P., Chakraborti, A., Kaski, K., Kertész, J., & Kanto, A.
Venue
Physical Review E
Published
2003-11-13
Volume
68
Issue
5
Pages
056110-056110
ISSN
  • 1063-651X (ISSN-L)
  • 1095-3787
OpenAlex
W2123199877
Cited by
767
References
10
FWCI
40.56
Type
journal article
Language
en
Open access
green

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CoChat. (2026). Citation check: Dynamics of market correlations: Taxonomy and portfolio analysis. https://app.cochat.ai/papers/10.1103/physreve.68.056110
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Onnela, J.-P., Chakraborti, A., Kaski, K., Kertész, J., & Kanto, A. (2003). Dynamics of market correlations: Taxonomy and portfolio analysis. Physical Review E. https://doi.org/10.1103/physreve.68.056110

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

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