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A Decision Rule to Minimize Daily Capital Charges in Forecasting Value-at-Risk



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McAleer, Michael y Jimenez-Martin, Juan-Angel y Pérez Amaral, Teodosio (2009) A Decision Rule to Minimize Daily Capital Charges in Forecasting Value-at-Risk. [ Documentos de trabajo del Instituto Complutense de Análisis Económico. ; nº 07, 2009, ] (No publicado)

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URL Oficial: http://eprints.ucm.es/8593/

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Under the Basel II Accord, banks and other Authorized Deposit-taking Institutions (ADIs) have to communicate their daily risk estimates to the monetary authorities at the
beginning of the trading day, using a variety of Value-at-Risk (VaR) models to measure risk. Sometimes the risk estimates communicated using these models are too high,
thereby leading to large capital requirements and high capital costs. At other times, the risk estimates are too low, leading to excessive violations, so that realised losses are above the estimated risk. In this paper we propose a learning strategy that complements existing methods for calculating VaR and lowers daily capital requirements, while restricting the number of endogenous violations within the Basel II Accord penalty limits. We suggest a decision rule that responds to violations in a discrete and instantaneous manner, while adapting more slowly in periods of no violations. We apply the proposed strategy to Standard & Poor’s 500 Index and show there can be substantial savings in daily capital charges, while restricting the number of violations to within the Basel II penalty limits.

Tipo de documento:Documento de trabajo o Informe técnico
Información Adicional:

JEL Classifications: G32, G11, G17, C53.

Palabras clave:Daily capital charges, Endogenous violations, Frequency of violations, Optimizing strategy, Risk forecasts, Value-at-risk.
Materias:Ciencias Sociales > Economía > Finanzas
Ciencias > Estadística > Estadística Matemática
Título de serie o colección:Documentos de trabajo del Instituto Complutense de Análisis Económico.
Código ID:8593
Depositado:09 Mar 2009 08:38
Última Modificación:19 Jun 2015 09:22

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