Temporal evolution of financial-market correlations

We investigate financial market correlations using random matrix theory and principal component analysis. We use random matrix theory to demonstrate that correlation matrices of asset price changes contain structure that is incompatible with uncorrelated random price changes. We then identify the pr...

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Main Authors: Fenn, D, Porter, M, Williams, S, McDonald, M, Johnson, N, Jones, N
Format: Journal article
Language:English
Published: 2011
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author Fenn, D
Porter, M
Williams, S
McDonald, M
Johnson, N
Jones, N
author_facet Fenn, D
Porter, M
Williams, S
McDonald, M
Johnson, N
Jones, N
author_sort Fenn, D
collection OXFORD
description We investigate financial market correlations using random matrix theory and principal component analysis. We use random matrix theory to demonstrate that correlation matrices of asset price changes contain structure that is incompatible with uncorrelated random price changes. We then identify the principal components of these correlation matrices and demonstrate that a small number of components accounts for a large proportion of the variability of the markets that we consider. We characterize the time-evolving relationships between the different assets by investigating the correlations between the asset price time series and principal components. Using this approach, we uncover notable changes that occurred in financial markets and identify the assets that were significantly affected by these changes. We show in particular that there was an increase in the strength of the relationships between several different markets following the 2007-2008 credit and liquidity crisis. © 2011 American Physical Society.
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spelling oxford-uuid:022e1dd6-f3e1-479f-8c4b-fb21161fa49a2022-03-26T08:39:11ZTemporal evolution of financial-market correlationsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:022e1dd6-f3e1-479f-8c4b-fb21161fa49aEnglishSymplectic Elements at Oxford2011Fenn, DPorter, MWilliams, SMcDonald, MJohnson, NJones, NWe investigate financial market correlations using random matrix theory and principal component analysis. We use random matrix theory to demonstrate that correlation matrices of asset price changes contain structure that is incompatible with uncorrelated random price changes. We then identify the principal components of these correlation matrices and demonstrate that a small number of components accounts for a large proportion of the variability of the markets that we consider. We characterize the time-evolving relationships between the different assets by investigating the correlations between the asset price time series and principal components. Using this approach, we uncover notable changes that occurred in financial markets and identify the assets that were significantly affected by these changes. We show in particular that there was an increase in the strength of the relationships between several different markets following the 2007-2008 credit and liquidity crisis. © 2011 American Physical Society.
spellingShingle Fenn, D
Porter, M
Williams, S
McDonald, M
Johnson, N
Jones, N
Temporal evolution of financial-market correlations
title Temporal evolution of financial-market correlations
title_full Temporal evolution of financial-market correlations
title_fullStr Temporal evolution of financial-market correlations
title_full_unstemmed Temporal evolution of financial-market correlations
title_short Temporal evolution of financial-market correlations
title_sort temporal evolution of financial market correlations
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AT johnsonn temporalevolutionoffinancialmarketcorrelations
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