Vector-valued Coherent Risk Measures
We define a coherent risk measures as set-valued maps satisfying some axioms. We show that this definition is a convenient extension of the real-valued risk measures introduced by Artzner, Delbaen, Eber and Heath (1998). We then discuss the aggregation issue, i.e. the passage from valued random portofolio to valued measure of Risk. Necessary and sufficient conditions of coherent aggregation are provided
|Date of creation:||2004|
|Date of revision:|
|Publication status:||Published, Finance and Stochastics, 2004, 8, 531-552|
|Note:||View the original document on HAL open archive server: http://halshs.archives-ouvertes.fr/halshs-00167154|
|Contact details of provider:|| Web page: http://hal.archives-ouvertes.fr/|
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