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Journal of Banking & Finance Vol. 36 No. 10 2012

When more is less: Using multiple constraints to reduce tail risk

Gordon J. Alexander1; Alexandre M. Baptista2; Shu Yan3

1 University of Minnesota · 2 George Washington University · 3 University of South Carolina

Abstract

Financial institutions suffered large trading losses during the 2007–2009 global financial crisis. These losses cast doubt on the effectiveness of regulations and risk management systems based on a single Value-at-Risk (VaR) constraint. While some researchers have recommended using Conditional Value-at-Risk (CVaR) to control tail risk, VaR remains popular among practitioners and regulators. Accordingly, our paper examines the effectiveness of multiple VaR constraints in controlling CVaR. Under certain conditions, we theoretically show that they are more effective than a single VaR constraint. Furthermore, we numerically find that the maximum CVaR permitted by the constraints is notably smaller than with a single constraint. These results suggest that regulations and risk management systems based on multiple VaR constraints are more effective in reducing tail risk than those based on a single VaR constraint.

DOI
10.1016/j.jbankfin.2011.08.002
Volume
36
Issue
10
Pages
2693-2716
Language
en
Sources
openalex crossref bibtex:phds-export.bib

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