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Financial risk measures for a network of individual agents holding portfolios of light-tailed objects

Claudia Klüppelberg () and Miriam Isabel Seifert ()
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Claudia Klüppelberg: Technical University of Munich
Miriam Isabel Seifert: Ruhr University Bochum

Finance and Stochastics, 2019, vol. 23, issue 4, No 1, 795-826

Abstract: Abstract We investigate a financial network of agents holding portfolios of independent light-tailed risky objects whose losses are asymptotically exponentially distributed with distinct tail parameters. We show that the asymptotic distributions of portfolio losses belong to the class of functional exponential mixtures which we introduce in this paper. We also provide results for value-at-risk and expected shortfall risk measures, as well as for their conditional counterparts. Compared to heavy-tail settings, we establish important qualitative differences in the asymptotic behaviour of portfolio risks under a light-tail assumption which have to be accounted for in practical risk management.

Keywords: Asymptotic exponential distribution; Expected shortfall; Financial network; Risk management; Value-at-risk; 60G70; 62E20; 90B10; 91B30 (search for similar items in EconPapers)
JEL-codes: C10 C46 G11 G22 (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (5)

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DOI: 10.1007/s00780-019-00401-7

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