Conlon, Thomas, Ruskin, Heather J. ORCID: 0000-0001-7101-2242 and Crane, Martin ORCID: 0000-0001-7598-3126 (2009) Multiscaled cross-correlation dynamics in financial time series. Advances in Complex Systems, 12 (4-5). pp. 439-454. ISSN 0219-5259
Abstract
The cross-correlation matrix between equities comprises multiple interactions between traders with varying strategies and time horizons. In this paper, we use the Maximum Overlap Discrete Wavelet Transform (MODWT) to calculate correlation matrices over different time scales and then explore the eigenvalue spectrum over sliding time windows. The dynamics of the eigenvalue spectrum at different scales provides insight into the
interactions between the numerous constituents involved.
A study of the eigenvalue spectrum in its entirety provides further insight. On partitioning the eigenvalue time series, we show that negative index returns, (drawdowns),
are associated with periods where the largest eigenvalue is greatest, while positive index returns, (drawups), are associated with periods where the largest eigenvalue is smallest. Furthermore, through the study of the small eigenvalues of the correlation matrix, we
show that information about the correlation dynamics is visible at both ends of the eigenspectrum across all scales.
Metadata
Item Type: | Article (Published) |
---|---|
Refereed: | Yes |
Uncontrolled Keywords: | random matrix theory (RMT); wavelets; eigenvalues; eigenanalysis; financial time series; equity returns; |
Subjects: | Mathematics > Numerical analysis Mathematics > Statistics Physical Sciences > Statistical physics |
DCU Faculties and Centres: | DCU Faculties and Schools > Faculty of Engineering and Computing > School of Computing |
Publisher: | World Scientific Publishing |
Official URL: | http://dx.doi.org/10.1142/S0219525909002325 |
Copyright Information: | Copyright © 2009 World Scientific Publishing Co. |
Use License: | This item is licensed under a Creative Commons Attribution-NonCommercial-Share Alike 3.0 License. View License |
ID Code: | 14915 |
Deposited On: | 01 Oct 2009 09:44 by Martin Crane . Last Modified 03 Oct 2018 11:21 |
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