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



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McAleer, Michael and Jiménez-Martín, Juan-Ángel and 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 (ICAE); nº 07, 2009, ]

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


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.

Item Type:Working Paper or Technical Report
Uncontrolled Keywords:Daily capital charges, Endogenous violations, Frequency of violations, Optimizing strategy, Risk forecasts, Value-at-risk.
Subjects:Social sciences > Economics > Finance
Sciences > Statistics > Mathematical statistics
JEL:G32, G11, G17, C53
Series Name:Documentos de trabajo del Instituto Complutense de Análisis Económico (ICAE)
ID Code:8593
Deposited On:09 Mar 2009 08:38
Last Modified:15 Feb 2022 12:53

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