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Fundamental Definition Of The Solvency Capital Requirement In Solvency Ii

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  • Christiansen, Marcus C.
  • Niemeyer, Andreas

Abstract

It is essential for insurance regulation to have a clear picture of the risk measures that are used. We compare different mathematical interpretations of the Solvency Capital Requirement (SCR) definition from Solvency II that can be found in the literature. We introduce a mathematical modeling framework that enables us to make a mathematically rigorous comparison. The paper shows similarities, differences, and properties such as convergence of the different SCR interpretations. Moreover, we generalize the SCR definition to future points in time based on a generalization of the value at risk. This allows for a sound definition of the Risk Margin. Our study helps to make the Solvency II insurance regulation more consistent.

Suggested Citation

  • Christiansen, Marcus C. & Niemeyer, Andreas, 2014. "Fundamental Definition Of The Solvency Capital Requirement In Solvency Ii," ASTIN Bulletin, Cambridge University Press, vol. 44(3), pages 501-533, September.
    • Handle: RePEc:cup:astinb:v:44:y:2014:i:03:p:501-533_00
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    Citations

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    Cited by:

    1. García, Sonía & Pavía, José M. & Veres Ferrer, Ernesto Jesús & Lledó, Josep, 2017. "Una herramienta de cálculo para la predicción de los Requerimientos de Capital en seguros de vida/A tool for Predicting Solvency Capital Requirements in Life Insurance," Estudios de Economia Aplicada, Estudios de Economia Aplicada, vol. 35, pages 367-394, Mayo.
    2. Pierre-Edouard Arrouy & Alexandre Boumezoued & Bernard Lapeyre & Sophian Mehalla, 2022. "Economic Scenario Generators: a risk management tool for insurance," Working Papers hal-03671943, HAL.
    3. Stefan Weber, 2017. "Solvency II, or How to Sweep the Downside Risk Under the Carpet," Papers 1702.08901, arXiv.org, revised Nov 2017.
    4. Michael Ludkovski & James Risk, 2017. "Sequential Design and Spatial Modeling for Portfolio Tail Risk Measurement," Papers 1710.05204, arXiv.org, revised May 2018.
    5. Roberto Bomgiovani Cazzari & Guilherme Rodovalho Fernandes Moreira, 2022. "Uncertainty of Claims Provisions from the Analysis of Financial Statements," RAC - Revista de Administração Contemporânea (Journal of Contemporary Administration), ANPAD - Associação Nacional de Pós-Graduação e Pesquisa em Administração, vol. 26(3), pages 200400-2004.
    6. Cosimo Munari & Stefan Weber & Lutz Wilhelmy, 2023. "Capital requirements and claims recovery: A new perspective on solvency regulation," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 90(2), pages 329-380, June.
    7. Sharifah Farah Syed Yusoff Alhabshi & Zamira Hasanah Zamzuri & Siti Norafidah Mohd Ramli, 2021. "Monte Carlo Simulation of the Moments of a Copula-Dependent Risk Process with Weibull Interwaiting Time," Risks, MDPI, vol. 9(6), pages 1-21, June.
    8. Seyed Amir Hejazi & Kenneth R. Jackson, 2016. "Efficient Valuation of SCR via a Neural Network Approach," Papers 1610.01946, arXiv.org.
    9. Benson, Sydney & Burroughs, Regina & Ladyzhets, Vladimir & Mohr, Jessica & Shemyakin, Arkady & Walczak, David & Zhang, Huan, 2020. "Copula models of economic capital for life insurance companies," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 58, pages 32-54.
    10. Martin Eling & Ruo Jia, 2017. "Recent Research Developments Affecting Nonlife Insurance—The CAS Risk Premium Project 2014 Update," Risk Management and Insurance Review, American Risk and Insurance Association, vol. 20(1), pages 63-77, March.
    11. Pauline Milaure Ngugnie Diffouo & Pierre Devolder, 2020. "Longevity Risk Measurement of Life Annuity Products," Risks, MDPI, vol. 8(1), pages 1-16, March.
    12. Jing Liu & Huan Zhang, 2017. "Asymptotic Estimates for the One-Year Ruin Probability under Risky Investments," Risks, MDPI, vol. 5(2), pages 1-11, May.
    13. Susanna Levantesi & Massimiliano Menzietti, 2017. "Maximum Market Price of Longevity Risk under Solvency Regimes: The Case of Solvency II," Risks, MDPI, vol. 5(2), pages 1-21, May.
    14. Pierre-Edouard Arrouy & Alexandre Boumezoued & Bernard Lapeyre & Sophian Mehalla, 2022. "Economic Scenario Generators: a risk management tool for insurance," Post-Print hal-03671943, HAL.
    15. Tobias Burkhart, 2018. "Surrender Risk in the Context of the Quantitative Assessment of Participating Life Insurance Contracts under Solvency II," Risks, MDPI, vol. 6(3), pages 1-38, June.
    16. Weber, Stefan, 2018. "Solvency II, or how to sweep the downside risk under the carpet," Insurance: Mathematics and Economics, Elsevier, vol. 82(C), pages 191-200.

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