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Journal of Banking & Finance Vol. 26 No. 7 2002

Conditional value-at-risk for general loss distributions

R. T. Rockafellar1; Stan Uryasev2

1 University of Washington · 2 University of Florida

Abstract

Fundamental properties of conditional value-at-risk (CVaR), as a measure of risk with significant advantages over value-at-risk (VaR), are derived for loss distributions in finance that can involve discreetness. Such distributions are of particular importance in applications because of the prevalence of models based on scenarios and finite sampling. CVaR is able to quantify dangers beyond VaR and moreover it is coherent. It provides optimization short-cuts which, through linear programming techniques, make practical many large-scale calculations that could otherwise be out of reach. The numerical efficiency and stability of such calculations, shown in several case studies, are illustrated further with an example of index tracking.

DOI
10.1016/s0378-4266(02)00271-6
Volume
26
Issue
7
Pages
1443-1471
Language
en
Sources
openalex crossref bibtex:phds-export.bib

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