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Optimal Risk-Sharing Across a Network of Insurance Companies


Ettlin, Nicolas; Farkas, Walter; Kull, Andreas; Smirnow, Alexander (2020). Optimal Risk-Sharing Across a Network of Insurance Companies. Insurance: Mathematics and Economics, 95:39-47.

Abstract

Risk transfer is a key risk and capital management tool for insurance companies. Transferring risk between insurers is used to mitigate risk and manage capital requirements. We investigate risk transfer in the context of a network environment of insurers and consider capital costs and capital constraints at the level of individual insurance companies. We demonstrate that the optimisation of profitability across the network can be achieved through risk transfer. Considering only individual insurance companies, there is no unique optimal solution and, a priori, it is not clear which solutions are fair. However, from a network perspective, we derive a unique fair solution in the sense of cooperative game theory. Implications for systemic risk are briefly discussed.

Abstract

Risk transfer is a key risk and capital management tool for insurance companies. Transferring risk between insurers is used to mitigate risk and manage capital requirements. We investigate risk transfer in the context of a network environment of insurers and consider capital costs and capital constraints at the level of individual insurance companies. We demonstrate that the optimisation of profitability across the network can be achieved through risk transfer. Considering only individual insurance companies, there is no unique optimal solution and, a priori, it is not clear which solutions are fair. However, from a network perspective, we derive a unique fair solution in the sense of cooperative game theory. Implications for systemic risk are briefly discussed.

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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:03 Faculty of Economics > Department of Banking and Finance
Dewey Decimal Classification:330 Economics
Scopus Subject Areas:Physical Sciences > Statistics and Probability
Social Sciences & Humanities > Economics and Econometrics
Social Sciences & Humanities > Statistics, Probability and Uncertainty
Scope:Discipline-based scholarship (basic research)
Language:English
Date:1 November 2020
Deposited On:11 Oct 2020 10:32
Last Modified:23 Jun 2024 01:43
Publisher:Elsevier
ISSN:0167-6687
Additional Information:Insurance: Mathematics and Economics, 95, 39-47 (2020) Swiss Finance Institute Research Paper No. 20-52
OA Status:Green
Publisher DOI:https://doi.org/10.1016/j.insmatheco.2020.08.002
Related URLs:https://www.zora.uzh.ch/id/eprint/193673/
Other Identification Number:merlin-id:19663
  • Content: Published Version
  • Description: Working Paper