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Dynamic assessment indices

This paper provides a unified framework, which allows, in particular, to study the structure of dynamic monetary risk measures and dynamic acceptability indices. The main mathematical tool, which we use here, allows us to significantly generalize existing results is the theory of -modules. In the fi...

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Bibliographic Details
Published in:Stochastics (Abingdon, Eng. : 2005) Eng. : 2005), 2016-01, Vol.88 (1), p.1-44
Main Authors: Bielecki, Tomasz R., Cialenco, Igor, Drapeau, Samuel, Karliczek, Martin
Format: Article
Language:English
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Summary:This paper provides a unified framework, which allows, in particular, to study the structure of dynamic monetary risk measures and dynamic acceptability indices. The main mathematical tool, which we use here, allows us to significantly generalize existing results is the theory of -modules. In the first part of the paper we develop the general theory and provide a robust representation of conditional assessment indices, and in the second part we apply this theory to dynamic acceptability indices acting on stochastic processes.
ISSN:1744-2508
1744-2516
DOI:10.1080/17442508.2015.1026346