 How valuable is your VaR? Large sample confidence intervals for normal VaRJournal of Risk Management in Financial Institutions, 2011, vol. 4, issue 2, 189-200 Abstract: Little is known about the distribution of the ‘value-at-risk’ (VaR) estimate and the associated estimation risk. In the case of the normal VaR, the key problem comes from the fact that it is estimated using a couple of parameters whose estimates are distributed differently. Previous research has either neglected uncertainty around the mean parameter, or resorted to simulations. By contrast, this paper derives analytical results for the normal VaR with the help of asymptotic theory and the so-called ‘delta method’. Properties of the estimation errors are then explored in detail and the VaR estimation risk is broken down into its various components. It is then shown, among other things, that the fraction of error owing to mean uncertainty is limited in a prudential context. In other words, the approximate approach defended by Jorion and Chappell and Dowd is shown to still be relevant. Keywords: value-at-risk; estimation risk; confidence interval; large sample (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:aza:rmfi00:y:2011:v:4:i:2:p:189-200 Access Statistics for this article More articles in Journal of Risk Management in Financial Institutions from Henry Stewart Publications |
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