Portfolio selection: An extreme value approach

We show theoretically that lower tail dependence (χ), a measure of the probability that a portfolio will suffer large losses given that the market does, contains important information for risk-averse investors. We then estimate χ for a sample of DJIA stocks and show that it differs systematically fr...

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Main Authors: DiTraglia, FJ, Gerlach, JR
Format: Journal article
Language:English
Published: Elsevier 2012
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author DiTraglia, FJ
Gerlach, JR
author_facet DiTraglia, FJ
Gerlach, JR
author_sort DiTraglia, FJ
collection OXFORD
description We show theoretically that lower tail dependence (χ), a measure of the probability that a portfolio will suffer large losses given that the market does, contains important information for risk-averse investors. We then estimate χ for a sample of DJIA stocks and show that it differs systematically from other risk measures including variance, semi-variance, skewness, kurtosis, beta, and coskewness. In out-of-sample tests, portfolios constructed to have low values of χ outperform the market index, the mean return of the stocks in our sample, and portfolios with high values of χ. Our results indicate that χ is conceptually important for risk-averse investors, differs substantially from other risk measures, and provides useful information for portfolio selection.
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spelling oxford-uuid:985f07a4-fa7d-42e7-b2e4-86e6ebb0dca52022-03-27T00:06:26ZPortfolio selection: An extreme value approachJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:985f07a4-fa7d-42e7-b2e4-86e6ebb0dca5EnglishSymplectic ElementsElsevier2012DiTraglia, FJGerlach, JRWe show theoretically that lower tail dependence (χ), a measure of the probability that a portfolio will suffer large losses given that the market does, contains important information for risk-averse investors. We then estimate χ for a sample of DJIA stocks and show that it differs systematically from other risk measures including variance, semi-variance, skewness, kurtosis, beta, and coskewness. In out-of-sample tests, portfolios constructed to have low values of χ outperform the market index, the mean return of the stocks in our sample, and portfolios with high values of χ. Our results indicate that χ is conceptually important for risk-averse investors, differs substantially from other risk measures, and provides useful information for portfolio selection.
spellingShingle DiTraglia, FJ
Gerlach, JR
Portfolio selection: An extreme value approach
title Portfolio selection: An extreme value approach
title_full Portfolio selection: An extreme value approach
title_fullStr Portfolio selection: An extreme value approach
title_full_unstemmed Portfolio selection: An extreme value approach
title_short Portfolio selection: An extreme value approach
title_sort portfolio selection an extreme value approach
work_keys_str_mv AT ditragliafj portfolioselectionanextremevalueapproach
AT gerlachjr portfolioselectionanextremevalueapproach