Risk Management with Tail Quasi-Linear Means

Nicole B\"auerle and Tomer Shushi

Papers from arXiv.org

Abstract: We generalize Quasi-Linear Means by restricting to the tail of the risk distribution and show that this can be a useful quantity in risk management since it comprises in its general form the Value at Risk, the Tail Value at Risk and the Entropic Risk Measure in a unified way. We then investigate the fundamental properties of the proposed measure and show its unique features and implications in the risk measurement process. Furthermore, we derive formulas for truncated elliptical models of losses and provide formulas for selected members of such models.

Date: 2019-02, Revised 2020-01
New Economics Papers: this item is included in nep-rmg and nep-upt
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Citations: View citations in EconPapers (2)

Published in Ann. actuar. sci. 14 (2020) 170-187

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Persistent link: https://EconPapers.repec.org/RePEc:arx:papers:1902.06941

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