Confidence intervals for multivariate value at risk

Confidence intervals for the y-quantile of a linear combination of N non-normal variates with a linear dependence structure would be useful to the financial institutions as the intervals enable the accuracy of the value at risk (VaR) of a portfolio of investments to be quantified. Presently, we con...

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Bibliographic Details
Main Authors: Goh, Y. L., Pooi, Ah Hin *
Format: Conference or Workshop Item
Language:English
Published: 2012
Subjects:
Online Access:http://eprints.sunway.edu.my/201/1/Pooi%20Ah%20Hin%20-%20Confidence%20Intervals%20for%20Multivariate%20Value%20at%20Risk.pdf
http://eprints.sunway.edu.my/201/
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Summary:Confidence intervals for the y-quantile of a linear combination of N non-normal variates with a linear dependence structure would be useful to the financial institutions as the intervals enable the accuracy of the value at risk (VaR) of a portfolio of investments to be quantified. Presently, we construct 100(1-α) % confidence intervals for the y-quantile using the procedures based on bootstrap, normal approximation and hypothesis testing. We show that the method based on hypothesis testing produces confidence interval which is more satisfactory than those found by using bootstrap or normal approximation.