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Title: An examination of the tail contribution to distortion risk measures
Author: Santolino, Miguel
Belles Sampera, Jaume
Sarabia Alegría, José María
Guillén, Montserrat
Keywords: Gestió del risc
Valor (Economia)
Risk management
Value (Economics)
Issue Date: 5-Aug-2021
Publisher: Incisive Media
Abstract: Extreme losses are specially relevant in the finance and insurance sectors. Here, we analyze the tail behavior of risks and its influence on risk measures. Specifically, we examine the part of the risk value of a distortion risk measure (DRM) that is attributable to extreme losses. We analyze the additive properties of tail contributions to risk values when several risks are aggregated. We show that the partial contributions are subadditive if the distortion function is concave in the tail. We examine the tail behavior for quantile-based DRMs, including value-at-risk and tail value-at-risk. We conclude that such an evaluation will allow decision makers to obtain relevant information about the contribution of extreme losses to risk values and about the fraction of the diversification benefit attributable to the tails. An example is used to illustrate our results.
Note: Reproducció del document publicat a:
It is part of: Journal of Risk, 2021, vol. 23, num. 6
Related resource:
ISSN: 1465-1211
Appears in Collections:Articles publicats en revistes (Econometria, Estadística i Economia Aplicada)

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