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Multivariate risk measures based on conditional expectation and systemic risk for Exponential Dispersion Models

Tomer Shushi and Jing Yao

Insurance: Mathematics and Economics, 2020, vol. 93, issue C, 178-186

Abstract: Exponential dispersion models are well used and studied in quantitative risk management and actuarial science. One of the main interests is the risk measurement analysis of such models when facing extreme loss events. In this paper, we propose two multivariate risk measures based on conditional expectation and derive the explicit formulae for exponential dispersion models. In particular, our multivariate risk measures could facilitate a systemic risk measure with explicit expressions for exponential dispersion models subject to any pre-specified “systemic event.” We provide two numerical examples based on practical data to show the advantages of our approach in the context of exponential dispersion models.

Keywords: Multivariate risk measures; Conditional expectation; Systemic risks; Capital allocation; Exponential dispersion models (search for similar items in EconPapers)
JEL-codes: C46 D81 (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (8)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:insuma:v:93:y:2020:i:c:p:178-186

DOI: 10.1016/j.insmatheco.2020.04.014

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Insurance: Mathematics and Economics is currently edited by R. Kaas, Hansjoerg Albrecher, M. J. Goovaerts and E. S. W. Shiu

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