Subadditivity of Value-at-Risk for Bernoulli random variables
Marius Hofert and
Alexander J. McNeil
Statistics & Probability Letters, 2015, vol. 98, issue C, 79-88
Abstract:
Necessary and sufficient conditions for the subadditivity of Value-at-Risk (V aRα) for portfolios of bonds are presented under various dependence assumptions. For sufficiently large α, V aRα is subadditive. However, for any α one can construct portfolios for which V aRα is superadditive.
Keywords: Risk measure; Value-at-Risk; Superadditivity; Bernoulli random variables; Portfolio of bonds (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:stapro:v:98:y:2015:i:c:p:79-88
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DOI: 10.1016/j.spl.2014.12.016
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