 An asymptotic study of systemic expected shortfall and marginal expected shortfallYiqing Chen and Jiajun Liu Insurance: Mathematics and Economics, 2022, vol. 105, issue C, 238-251 Abstract: Following recent studies of systemic risk in banking, finance, and insurance, we quantify systemic expected shortfall (SES) and marginal expected shortfall (MES) in a general context of quantitative risk management and link them to a confidence level q∈(0,1). For this purpose, we consider a system comprising multiple individuals (sub-portfolios, lines of business, or entities) whose loss-profit variables are modeled by randomly weighted random variables so that both their tail behavior and the interdependence among them are captured. For the case of heavy-tailed losses, we derive general asymptotic formulas for the SES and MES as q↑1. If restricted to the special case in which the losses have equivalent regularly varying tails, the obtained formulas are further simplified and explicitized into the value at risk of a representing random variable. Numerical studies are conducted to examine the performance of these asymptotic formulas. Keywords: Systemic risk; Heavy-tailed distributions; Random weights; Asymptotic independence; Regular variation (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:insuma:v:105:y:2022:i:c:p:238-251 DOI: 10.1016/j.insmatheco.2022.04.009 Access Statistics for this article Insurance: Mathematics and Economics is currently edited by R. Kaas, Hansjoerg Albrecher, M. J. Goovaerts and E. S. W. Shiu More articles in Insurance: Mathematics and Economics from Elsevier |
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