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Market inconsistencies of the market-consistent European life insurance economic valuations: pitfalls and practical solutions

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  • Nicole El Karoui

    (LPMA - Laboratoire de Probabilités et Modèles Aléatoires - UPMC - Université Pierre et Marie Curie - Paris 6 - UPD7 - Université Paris Diderot - Paris 7 - CNRS - Centre National de la Recherche Scientifique)

  • Stéphane Loisel

    (SAF - Laboratoire de Sciences Actuarielle et Financière - UCBL - Université Claude Bernard Lyon 1 - Université de Lyon)

  • Jean-Luc Prigent

    (THEMA - Théorie économique, modélisation et applications - UCP - Université de Cergy Pontoise - Université Paris-Seine - CNRS - Centre National de la Recherche Scientifique)

  • Julien Vedani

    (SAF - Laboratoire de Sciences Actuarielle et Financière - UCBL - Université Claude Bernard Lyon 1 - Université de Lyon)

Abstract

The Solvency II directive has introduced a specific so-called risk-neutral framework to valuate economic accounting quantities throughout European life insurance companies. The adaptation of this theoretical notion for regulatory purposes requires the addition of a specific criterion, namely the market-consistency, in order to objectify the choice of the valuation probability measure. This paper aims at pointing out and fixing some of the major risk sources embedded in the current regulatory life insurance valuation scheme. We compare actuarial and financial valuation schemes. We then address first operational issues and potential market manipulation sources in life insurance, induced by both theoretical and regulatory pitfalls. For example, we show that calibrating the interest rate model in October 2014 instead of December 31 st 2014 generates a 140%-increase in the economic own funds of a representative French life insurance company. We propose various adaptations of the current implementations, including product-specific valuation scheme, to limit the impact of these market-inconsistencies.

Suggested Citation

  • Nicole El Karoui & Stéphane Loisel & Jean-Luc Prigent & Julien Vedani, 2017. "Market inconsistencies of the market-consistent European life insurance economic valuations: pitfalls and practical solutions," Post-Print hal-01242023, HAL.
  • Handle: RePEc:hal:journl:hal-01242023
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    References listed on IDEAS

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    Cited by:

    1. Karim Barigou & Daniel Linders & Fan Yang, 2021. "Actuarial-consistency and two-step actuarial valuations: a new paradigm to insurance valuation," Papers 2109.13796, arXiv.org, revised Mar 2022.
    2. Florian Gach & Simon Hochgerner & Eva Kienbacher & Gabriel Schachinger, 2023. "Mean-field Libor market model and valuation of long term guarantees," Papers 2310.09022, arXiv.org, revised Nov 2023.
    3. Diana Dorobantu & Yahia Salhi & Pierre-E. Thérond, 2020. "Modelling Net Carrying Amount of Shares for Market Consistent Valuation of Life Insurance Liabilities," Methodology and Computing in Applied Probability, Springer, vol. 22(2), pages 711-745, June.
    4. Pierre-Edouard Arrouy & Alexandre Boumezoued & Bernard Lapeyre & Sophian Mehalla, 2022. "Economic Scenario Generators: a risk management tool for insurance," Working Papers hal-03671943, HAL.
    5. Anna Maria Gambaro & Riccardo Casalini & Gianluca Fusai & Alessandro Ghilarducci, 2019. "A market-consistent framework for the fair evaluation of insurance contracts under Solvency II," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 42(1), pages 157-187, June.
    6. Derrick W. H. Fung & David Jou & Ai Ju Shao & Jason J. H. Yeh, 2021. "The informativeness of embedded value reporting to stock price," Accounting and Finance, Accounting and Finance Association of Australia and New Zealand, vol. 61(4), pages 5341-5376, December.
    7. Fabrice Borel-Mathurin & Nicole El Karoui & Stéphane Loisel & Julien Vedani, 2020. "Locality in time of the European insurance regulation "risk-neutral" valuation framework, a pre-and post-Covid analysis and further developments," Working Papers hal-02905181, HAL.
    8. Karim Barigou & Daniël Linders & Fan yang, 2022. "Actuarial-consistency and two-step actuarial valuations: a new paradigm to insurance valuation," Working Papers hal-03327710, HAL.
    9. Diana Dorobantu & Yahia Salhi & Pierre-Emmanuel Thérond, 2018. "Modelling net carrying amount of shares for market consistent valuation of life insurance liabilities," Working Papers hal-01840057, HAL.
    10. Francesco Strati & Luca G. Trussoni, 2020. "Exact cash-account deflator for the G2++ model," International Journal of Financial Engineering (IJFE), World Scientific Publishing Co. Pte. Ltd., vol. 7(01), pages 1-14, March.
    11. Pierre-Edouard Arrouy & Alexandre Boumezoued & Bernard Lapeyre & Sophian Mehalla, 2022. "Economic Scenario Generators: a risk management tool for insurance," Post-Print hal-03671943, HAL.
    12. Aur'elien Alfonsi & Adel Cherchali & Jose Arturo Infante Acevedo, 2019. "A full and synthetic model for Asset-Liability Management in life insurance, and analysis of the SCR with the standard formula," Papers 1908.00811, arXiv.org.
    13. Karim Barigou & Daniël Linders & Fan Yang, 2022. "Actuarial-consistency and two-step actuarial valuations: a new paradigm to insurance valuation," Post-Print hal-03327710, HAL.
    14. Fabrice Borel-Mathurin & Julien Vedani, 2019. "Market-consistent valuation: a step towards calculation stability," Working Papers hal-02282378, HAL.
    15. Sascha Desmettre & Simon Hochgerner & Sanela Omerovic & Stefan Thonhauser, 2021. "A mean-field extension of the LIBOR market model," Papers 2109.10779, arXiv.org.
    16. Kladívko, Kamil & Rusý, Tomáš, 2023. "Maximum likelihood estimation of the Hull–White model," Journal of Empirical Finance, Elsevier, vol. 70(C), pages 227-247.
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