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On the Coherent Risk Measure Representations in the Discrete Probability Spaces

KEREM UGURLU (kugurlu***at***usc.edu)

Abstract: We give a complete characterization of both comonotone and not comonotone coherent risk measures in the discrete finite probability space, where each outcome is equally likely. To the best of our knowledge, this is the first work that characterizes and distinguishes comonotone and not comonotone coherent risk measures via a simplified AVaR representation in this probability space, which is crucial in applications and simulations.

Keywords: Kusuoka representation; coherent risk measures; law invariance; comonotonicity.

Category 1: Applications -- OR and Management Sciences

Citation: University of Southern California, 90007, Los Angeles, USA. November/2014.

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Entry Submitted: 11/25/2014
Entry Accepted: 11/26/2014
Entry Last Modified: 01/04/2015

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