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Document Details :

Title: Analysis of the Expected Shortfall of Aggregate Dependent Risks
Author(s): ALINK, S. , LÖWE, M. , WÜTRICH, M.V.
Journal: ASTIN Bulletin
Volume: 35    Issue: 1   Date: May 2005   
Pages: 25-43
DOI: 10.2143/AST.35.1.583164

Abstract :
We consider d identically and continuously distributed dependent risks X1,...,Xd. Our main result is a theorem on the asymptotic behaviour of expected shortfall for the aggregate risks: there is a constant cd such that for large u we have Edi=1Xi∣Σdi=1Xi≤-u]~-ucd. Moreover we study diversification effects in two dimensions, similar to our Value-at-Risk studies.