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Composite Value-at-Risk

Mercadier, Mathieu and Lardy, Jean-Pierre (2023) Composite Value-at-Risk. Earth Science Research Network .

Abstract
Historical Value-at-Risk (VaR) may yield persistently high values that do not accurately represent the underlying risk, followed by dramatic drops. This phenomenon can be circumvented with some weighted historical methods like those proposed by Boudoukh et al. (BRW 1998) and Hull and White (HW 1998). In this article, we develop a simple, transparent, and quick-to-compute weighted historical VaR estimate, called composite VaR, based on the Normal and Laplace distributions. This approach provides probabilistic information on the nature of tail risk. In line with the literature, a dedicated example leads us to support the importance of the Laplace distribution for cryptocurrencies. An analysis based on common bias and clustering benchmarks is performed on this new method and its closest parents, the BRW and HW VaRs and the classical historical VaR. Although the composite VaR can be chosen for its rapidity, none of the examined methods can be unequivocally regarded as the most efficient VaR estimate. One additional key benefit of our method is its low bias.
Metadata
Item Type:Article (Published)
Refereed:Yes
Uncontrolled Keywords:Risk management, Value-at-Risk, Normal distribution, Laplace distribution
Subjects:Business > Finance
DCU Faculties and Centres:DCU Faculties and Schools > DCU Business School
Publisher:SSRN
Official URL:https://papers.ssrn.com/sol3/papers.cfm?abstract_i...
Copyright Information:Author
ID Code:32834
Deposited On:01 Jul 2026 12:15 by Tam Nguyen . Last Modified 01 Jul 2026 12:15
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