A composition between risk and deviation measures

Marcelo Righi ()

Annals of Operations Research, 2019, vol. 282, issue 1, No 13, 299-313

Abstract: Abstract The intuition of risk is based on two main concepts: loss and variability. In this paper, we present a composition of risk and deviation measures, which contemplate these two concepts. Based on the proposed Limitedness axiom, we prove that this resulting composition, based on properties of the two components, is a coherent risk measure. Similar results for the cases of convex and co-monotone risk measures are exposed. We also provide examples of known and new risk measures constructed under this framework in order to highlight the importance of our approach, especially the role of the Limitedness axiom.

Keywords: Coherent risk measures; Generalized deviation measures; Convex risk measures; Co-monotone coherent risk measures; Limitedness (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (19)

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Working Paper: A composition between risk and deviation measures (2018)
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DOI: 10.1007/s10479-018-2913-0

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