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Construction d'un algorithme d'accélération de la méthode des «simulations dans les simulations» pour le calcul du capital économique Solvabilité II

Author

Listed:
  • Laurent Devineau

    (SAF - Laboratoire de Sciences Actuarielle et Financière - UCBL - Université Claude Bernard Lyon 1 - Université de Lyon, R&D, Milliman, Paris - Milliman France)

  • Stéphane Loisel

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

Abstract

La méthode dite des «simulations dans les simulations» (SdS) est à ce jour, pour les portefeuilles d'assurance-vie, une des méthodes de calcul du capital économique les plus conformes aux critères de Solvabilité II. Or cette approche conduit à des temps de calculs conséquents allant jusqu'à compromettre son applicabilité au sein de certaines compagnies. L'algorithme que nous présentons dans cet article permet de réduire très significativement le nombre de simulations effectuées dans le cadre d'une projection SdS. L'automate de calcul que nous avons développé, nommé «accélérateur SdS», repose sur une «localisation», par le biais de facteurs de risques, des situations les plus adverses en termes de solvabilité. La réduction des temps de projection résultant de la mise en œuvre de l'accélérateur SdS rend désormais l'approche « simulations dans les simulations » envisageable quelles que soient la taille et la structure de la compagnie considérée.

Suggested Citation

  • Laurent Devineau & Stéphane Loisel, 2009. "Construction d'un algorithme d'accélération de la méthode des «simulations dans les simulations» pour le calcul du capital économique Solvabilité II," Post-Print hal-00365363, HAL.
    • Handle: RePEc:hal:journl:hal-00365363
    Note: View the original document on HAL open archive server: https://hal.science/hal-00365363v2
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    Citations

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    Cited by:

    1. Laurent Devineau & Pierre-Edouard Arrouy & Paul Bonnefoy & Alexandre Boumezoued, 2017. "Fast calibration of the Libor Market Model with Stochastic Volatility and Displaced Diffusion," Working Papers hal-01521491, HAL.
    2. Nteukam T., Oberlain & Planchet, Frédéric, 2012. "Stochastic evaluation of life insurance contracts: Model point on asset trajectories and measurement of the error related to aggregation," Insurance: Mathematics and Economics, Elsevier, vol. 51(3), pages 624-631.
    3. Matthieu Chauvigny & Laurent Devineau & Stéphane Loisel & Véronique Maume-Deschamps, 2011. "Fast remote but not extreme quantiles with multiple factors. Applications to Solvency II and Enterprise Risk Management," Post-Print hal-00517766, HAL.
    4. Nicole El Karoui & Stéphane Loisel & Jean-Luc Prigent & Julien Vedani, 2015. "Market inconsistencies of the market-consistent European life insurance economic valuations: pitfalls and practical solutions," Working Papers hal-01242023, HAL.
    5. 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.
    6. Fort Gersende & Gobet Emmanuel & Moulines Eric, 2017. "MCMC design-based non-parametric regression for rare event. Application to nested risk computations," Monte Carlo Methods and Applications, De Gruyter, vol. 23(1), pages 21-42, March.

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