In the present contribution, under weak technical assumptions on the elicitability scoring function S we fully characterize the class of convex and coherent risk measures that are elicitable with an accuracy rewarding scoring function. In particular, we answer the question posed by Ziegel (2013), showing that expectiles are indeed the only elicitable coherent risk measure.

On elicitable risk measures / Bellini, Fabio; Bignozzi, Valeria. - In: QUANTITATIVE FINANCE. - ISSN 1469-7688. - STAMPA. - 15:5(2015), pp. 725-733. [10.1080/14697688.2014.946955]

On elicitable risk measures

BIGNOZZI, VALERIA
2015

Abstract

In the present contribution, under weak technical assumptions on the elicitability scoring function S we fully characterize the class of convex and coherent risk measures that are elicitable with an accuracy rewarding scoring function. In particular, we answer the question posed by Ziegel (2013), showing that expectiles are indeed the only elicitable coherent risk measure.
2015
Expectiles ; convex level sets ; elicitable risk measures ; quantiles
01 Pubblicazione su rivista::01a Articolo in rivista
On elicitable risk measures / Bellini, Fabio; Bignozzi, Valeria. - In: QUANTITATIVE FINANCE. - ISSN 1469-7688. - STAMPA. - 15:5(2015), pp. 725-733. [10.1080/14697688.2014.946955]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/871567
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