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Value-at-Risk substitute for non-ruin capital is fallacious and redundant

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  • Vsevolod Malinovskii

Abstract

This seemed impossible to use a theoretically adequate but too sophisticated risk measure called non-ruin capital, whence its widespread (including regulatory documents) replacement with an inadequate, but simple risk measure called Value-at-Risk. Conflicting with the idea by Albert Einstein that "everything should be made as simple as possible, but not simpler", this led to fallacious, and even deceitful (but generally accepted) standards and recommendations. Arguing from the standpoint of mathematical theory of risk, we aim to break this impasse.

Suggested Citation

  • Vsevolod Malinovskii, 2020. "Value-at-Risk substitute for non-ruin capital is fallacious and redundant," Papers 2005.05428, arXiv.org.
    • Handle: RePEc:arx:papers:2005.05428
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    References listed on IDEAS

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    1. Malinovskii, Vsevolod K., 2012. "Equitable solvent controls in a multi-period game model of risk," Insurance: Mathematics and Economics, Elsevier, vol. 51(3), pages 599-616.
    2. Martin Eling & Hato Schmeiser, 2010. "Insurance and the Credit Crisis: Impact and Ten Consequences for Risk Management and Supervision," The Geneva Papers on Risk and Insurance - Issues and Practice, Palgrave Macmillan;The Geneva Association, vol. 35(1), pages 9-34, January.
    3. Martin Eling & Hato Schmeiser & Joan T. Schmit, 2007. "The Solvency II Process: Overview and Critical Analysis," Risk Management and Insurance Review, American Risk and Insurance Association, vol. 10(1), pages 69-85, March.
    4. Alberto Floreani, 2013. "Risk Measures and Capital Requirements: A Critique of the Solvency II Approach," The Geneva Papers on Risk and Insurance - Issues and Practice, Palgrave Macmillan;The Geneva Association, vol. 38(2), pages 189-212, April.
    5. Malinovskii, Vsevolod K. & Kosova, Ksenia O., 2014. "Simulation analysis of ruin capital in Sparre Andersen’s model of risk," Insurance: Mathematics and Economics, Elsevier, vol. 59(C), pages 184-193.
    6. Malinovskii, Vsevolod K., 1998. "Non-Poissonian claims' arrivals and calculation of the probability of ruin," Insurance: Mathematics and Economics, Elsevier, vol. 22(2), pages 123-138, June.
    7. René Doff, 2008. "A Critical Analysis of the Solvency II Proposals," The Geneva Papers on Risk and Insurance - Issues and Practice, Palgrave Macmillan;The Geneva Association, vol. 33(2), pages 193-206, April.
    8. Philippe Artzner & Freddy Delbaen & Jean‐Marc Eber & David Heath, 1999. "Coherent Measures of Risk," Mathematical Finance, Wiley Blackwell, vol. 9(3), pages 203-228, July.
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