Danielsson, Jon 
ORCID: 0009-0006-9844-7960, Jorgensen, Bjorn N., Samorodnitsky, Gennady, Sarma, Mandira and de Vries, Casper G.
(2013)
Fat tails, VaR and subadditivity.
Journal of Econometrics, 172 (2).
pp. 283-291.
ISSN 0304-4076
Abstract
Financial institutions rely heavily on Value-at-Risk (VaR) as a risk measure, even though it is not globally subadditive. First, we theoretically show that the VaR portfolio measure is subadditive in the relevant tail region if asset returns are multivariate regularly varying, thus allowing for dependent returns. Second, we note that VaR estimated from historical simulations may lead to violations of subadditivity. This upset of the theoretical VaR subadditivity in the tail arises because the coarseness of the empirical distribution can affect the apparent fatness of the tails. Finally, we document a dramatic reduction in the frequency of subadditivity violations, by using semi-parametric extreme value techniques for VaR estimation instead of historical simulations.
| Item Type: | Article |
|---|---|
| Official URL: | http://www.journals.elsevier.com/journal-of-econom... |
| Additional Information: | © 2012 Elsevier B.V. |
| Divisions: | Finance Financial Markets Group |
| Subjects: | H Social Sciences > HG Finance |
| JEL classification: | G - Financial Economics > G0 - General > G00 - General G - Financial Economics > G1 - General Financial Markets > G18 - Government Policy and Regulation |
| Date Deposited: | 01 Oct 2012 10:11 |
| Last Modified: | 12 Dec 2024 00:19 |
| URI: | http://eprints.lse.ac.uk/id/eprint/46456 |
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