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Statistics & Risk Modeling

with Applications in Finance and Insurance

Editor-in-Chief: Stelzer, Robert

4 Issues per year

Cite Score 2016: 0.33

SCImago Journal Rank (SJR) 2016: 0.346
Source Normalized Impact per Paper (SNIP) 2016: 0.167

Mathematical Citation Quotient (MCQ) 2016: 0.32

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Volume 29, Issue 2 (Jun 2012)


Time consistency of multi-period distortion measures

Vicky Fasen / Adela Svejda
Published Online: 2012-06-27 | DOI: https://doi.org/10.1524/strm.2012.1115


Dynamic risk measures play an important role for the acceptance or non-acceptance of risks in a bank portfolio. Dynamic consistency and weaker versions like conditional and sequential consistency guarantee that acceptability decisions remain consistent in time. An important set of static risk measures are so-called distortion measures. We extend these risk measures to a dynamic setting within the framework of the notions of consistency as above. As a prominent example, we present the Tail-Value-at-Risk (TVaR).

Keywords: Acceptability measure; Distortion measure; Tail-Value-at-Risk; Coherent risk measure; Risk management

About the article

* Correspondence address: University of Bonn, Institute for Applied Mathematics, Endenicher Allee 60, 53115 Bonn, Deutschland,

Published Online: 2012-06-27

Published in Print: 2012-06-01

Citation Information: Statistics & Risk Modeling with Applications in Finance and Insurance, ISSN (Print) 2193-1402, DOI: https://doi.org/10.1524/strm.2012.1115.

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