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Market-consistent valuation: a step towards calculation stability

Author

Listed:
  • Fabrice Borel-Mathurin

    (ACPR - Autorité de Contrôle Prudentiel et de Résolution - Autorité de Contrôle Prudentiel et de Résolution)

  • Julien Vedani

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

Abstract

In this paper we address some of the stability issues raised by the European life insurance regulation valuation scheme. Via an in-depth study of the so-called economic valuation framework, shaped through the market-consistency contract we first point out the practical interest of one of the El Karoui, Loisel, Prigent & Vedani (2017) propositions to enforce the stability of the cutoff dates used as inputs to calibrate actuarial models. This led us to delegitimize the argument of the no-arbitrage opportunity as a regulatory criteria to frame the valuation, and as an opposition to the previously presented approach. Then we display tools to improve the convergence of the economic value estimations be it the V IF or the SCR, using usual variance reduction methods and a specific work on the simulation seeds. Through various implementations on a specific portfolio and valuation model we decrease the variance of the estimators by over 16 times.

Suggested Citation

  • Fabrice Borel-Mathurin & Julien Vedani, 2019. "Market-consistent valuation: a step towards calculation stability," Working Papers hal-02282378, HAL.
    • Handle: RePEc:hal:wpaper:hal-02282378
    Note: View the original document on HAL open archive server: https://hal.science/hal-02282378
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    References listed on IDEAS

    as
    1. Laurent Devineau & Stéphane Loisel, 2009. "Risk aggregation in Solvency II: How to converge the approaches of the internal models and those of the standard formula?," Post-Print hal-00403662, HAL.
    2. Christian Laux & Christian Leuz, 2010. "Did Fair-Value Accounting Contribute to the Financial Crisis?," Journal of Economic Perspectives, American Economic Association, vol. 24(1), pages 93-118, Winter.
    3. Laux, Christian & Leuz, Christian, 2009. "The crisis of fair-value accounting: Making sense of the recent debate," Accounting, Organizations and Society, Elsevier, vol. 34(6-7), pages 826-834, August.
    4. 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.
    Full references (including those not matched with items on IDEAS)

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    Cited by:

    1. Pierre-Edouard Arrouy & Alexandre Boumezoued & Bernard Lapeyre & Sophian Mehalla, 2022. "Economic Scenario Generators: a risk management tool for insurance," Post-Print hal-03671943, HAL.
    2. 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.
    3. Pierre-Edouard Arrouy & Alexandre Boumezoued & Bernard Lapeyre & Sophian Mehalla, 2022. "Economic Scenario Generators: a risk management tool for insurance," Working Papers hal-03671943, HAL.

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    More about this item

    Keywords

    European regulation; life insurance; no-arbitrage opportunity; economic valuation conver- gence; market-consistency *;
    All these keywords.

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