Optimal portfolios with minimum capital requirements
► We propose a portfolio selection approach to optimize capital requirements. ► The policy finds the optimal balance between VaR measures and VaR violations. ► We confirm empirically that the proposed approach outperform competing ones. We propose a novel approach to active risk management based on...
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Published in | Journal of banking & finance Vol. 36; no. 7; pp. 1928 - 1942 |
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Main Authors | , , , |
Format | Journal Article |
Language | English |
Published |
Amsterdam
Elsevier B.V
01.07.2012
Elsevier Elsevier Sequoia S.A |
Subjects | |
Online Access | Get full text |
ISSN | 0378-4266 1872-6372 |
DOI | 10.1016/j.jbankfin.2012.03.001 |
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Abstract | ► We propose a portfolio selection approach to optimize capital requirements. ► The policy finds the optimal balance between VaR measures and VaR violations. ► We confirm empirically that the proposed approach outperform competing ones.
We propose a novel approach to active risk management based on the recent Basel II regulations to obtain optimal portfolios with minimum capital requirements. In order to avoid regulatory penalties due to an excessive number of Value-at-Risk (VaR) violations, capital requirements are minimized subject to a given number of violations over the previous trading year. Capital requirements are based on the recent Basel II amendments to account for the ‘stressed’ VaR, that is, the downside risk of the portfolio under extreme adverse market conditions. An empirical application for two portfolios involving different types of assets and alternative stress scenarios demonstrates that the proposed approach delivers an improved balance between capital requirement levels and the number of VaR exceedances. Furthermore, the risk-adjusted performance of the proposed approach is superior to that of minimum-VaR and minimum-stressed VaR portfolios. |
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AbstractList | We propose a novel approach to active risk management based on the recent Basel II regulations to obtain optimal portfolios with minimum capital requirements. In order to avoid regulatory penalties due to an excessive number of Value-at-Risk (VaR) violations, capital requirements are minimized subject to a given number of violations over the previous trading year. Capital requirements are based on the recent Basel II amendments to account for the 'stressed' VaR, that is, the downside risk of the portfolio under extreme adverse market conditions. An empirical application for two portfolios involving different types of assets and alternative stress scenarios demonstrates that the proposed approach delivers an improved balance between capital requirement levels and the number of VaR exceedances. Furthermore, the risk-adjusted performance of the proposed approach is superior to that of minimum-VaR and minimum-stressed VaR portfolios. [PUBLICATION ABSTRACT] ► We propose a portfolio selection approach to optimize capital requirements. ► The policy finds the optimal balance between VaR measures and VaR violations. ► We confirm empirically that the proposed approach outperform competing ones. We propose a novel approach to active risk management based on the recent Basel II regulations to obtain optimal portfolios with minimum capital requirements. In order to avoid regulatory penalties due to an excessive number of Value-at-Risk (VaR) violations, capital requirements are minimized subject to a given number of violations over the previous trading year. Capital requirements are based on the recent Basel II amendments to account for the ‘stressed’ VaR, that is, the downside risk of the portfolio under extreme adverse market conditions. An empirical application for two portfolios involving different types of assets and alternative stress scenarios demonstrates that the proposed approach delivers an improved balance between capital requirement levels and the number of VaR exceedances. Furthermore, the risk-adjusted performance of the proposed approach is superior to that of minimum-VaR and minimum-stressed VaR portfolios. We propose a novel approach to active risk management based on the recent Basel II regulations to obtain optimal portfolios with minimum capital requirements. In order to avoid regulatory penalties due to an excessive number of Value-at-Risk (VaR) violations, capital requirements are minimized subject to a given number of violations over the previous trading year. Capital requirements are based on the recent Basel II amendments to account for the 'stressed' VaR, that is, the downside risk of the portfolio under extreme adverse market conditions. An empirical application for two portfolios involving different types of assets and alternative stress scenarios demonstrates that the proposed approach delivers an improved balance between capital requirement levels and the number of VaR exceedances. Furthermore, the risk-adjusted performance of the proposed approach is superior to that of minimum-VaR and minimum-stressed VaR portfolios. All rights reserved, Elsevier |
Author | Dijk, Dick Van Santos, André A.P. Nogales, Francisco J. Ruiz, Esther |
Author_xml | – sequence: 1 givenname: André A.P. surname: Santos fullname: Santos, André A.P. email: andreportela@cse.ufsc.br organization: Department of Economics, Universidade Federal de Santa Catarina, Campus Universitário Reitor João David Ferreira Lima, 88040-970, Florianópolis, Santa Catarina, Brazil – sequence: 2 givenname: Francisco J. surname: Nogales fullname: Nogales, Francisco J. email: FcoJavier.Nogales@uc3m.es organization: Department of Statistics, Universidad Carlos III de Madrid, C/Madrid 126, 28903 Getafe, Madrid, Spain – sequence: 3 givenname: Esther surname: Ruiz fullname: Ruiz, Esther email: ortega@est-econ.uc3m.es organization: Department of Statistics, Universidad Carlos III de Madrid, C/Madrid 126, 28903 Getafe, Madrid, Spain – sequence: 4 givenname: Dick Van surname: Dijk fullname: Dijk, Dick Van email: djvandijk@ese.eur.nl organization: Econometric Institute, Erasmus School of Economics, Erasmus University Rotterdam, P.O. Box 1738 3000 DR, Rotterdam, The Netherlands |
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Snippet | ► We propose a portfolio selection approach to optimize capital requirements. ► The policy finds the optimal balance between VaR measures and VaR violations. ►... We propose a novel approach to active risk management based on the recent Basel II regulations to obtain optimal portfolios with minimum capital requirements.... |
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SubjectTerms | Basel Accords Capital Capital requirements Convex optimization Financial theory Investment Multivariate GARCH Out-of-sample evaluation Penalties Portfolio investments Portfolio management Portfolios Regulation Regulation of financial institutions Risk adjustment Risk assessment Risk management Stress testing Studies Value Value-at-Risk Violations |
Title | Optimal portfolios with minimum capital requirements |
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