IDEAS home Printed from https://ideas.repec.org/a/wsi/ijfexx/v07y2020i01ns2424786320500097.html
   My bibliography  Save this article

Exact cash-account deflator for the G2++ model

Author

Listed:
  • Francesco Strati

    (KPMG Advisory SpA, Actuarial Services, Milan, Italy)

  • Luca G. Trussoni

    (#x2020;LTLogics, Italy)

Abstract

In this paper, we shall propose a Monte Carlo simulation technique applied to a G2++ model: even when the number of simulated paths is small, our technique allows to find a precise simulated deflator. In particular, we shall study the transition law of the discrete random variable:∫[t,t+Δt]x(τ)+y(τ)dτin the time span [t,t+Δt] conditional on the observation at time t, and we apply it in a recursive way to build the different paths of the simulation. We shall apply the proposed technique to the insurance industry, and in particular to the issue of pricing insurance contracts with embedded options and guarantees.

Suggested Citation

  • 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.
    • Handle: RePEc:wsi:ijfexx:v:07:y:2020:i:01:n:s2424786320500097
    DOI: 10.1142/S2424786320500097
    as

    Download full text from publisher

    File URL: https://www.worldscientific.com/doi/abs/10.1142/S2424786320500097
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S2424786320500097?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. 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.
    2. Vladimir Ostrovski, 2016. "Efficient and exact simulation of the Gaussian affine interest rate models," International Journal of Financial Engineering (IJFE), World Scientific Publishing Co. Pte. Ltd., vol. 3(02), pages 1-11, June.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Pierre-Edouard Arrouy & Alexandre Boumezoued & Bernard Lapeyre & Sophian Mehalla, 2022. "Economic Scenario Generators: a risk management tool for insurance," Working Papers hal-03671943, HAL.
    2. Fazlollah Soleymani & Andrey Itkin, 2019. "Pricing foreign exchange options under stochastic volatility and interest rates using an RBF--FD method," Papers 1903.00937, arXiv.org.
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    7. Fabrice Borel-Mathurin & Julien Vedani, 2019. "Market-consistent valuation: a step towards calculation stability," Working Papers hal-02282378, HAL.
    8. 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.
    9. 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.
    10. 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.
    11. 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.
    12. Florian Gach & Simon Hochgerner, 2021. "Estimation of future discretionary benefits in traditional life insurance," Papers 2101.06077, arXiv.org, revised Jul 2022.
    13. 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.
    14. 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.
    15. Pierre-Edouard Arrouy & Alexandre Boumezoued & Bernard Lapeyre & Sophian Mehalla, 2022. "Economic Scenario Generators: a risk management tool for insurance," Post-Print hal-03671943, HAL.
    16. Sascha Desmettre & Simon Hochgerner & Sanela Omerovic & Stefan Thonhauser, 2021. "A mean-field extension of the LIBOR market model," Papers 2109.10779, arXiv.org.
    17. Kladívko, Kamil & Rusý, Tomáš, 2023. "Maximum likelihood estimation of the Hull–White model," Journal of Empirical Finance, Elsevier, vol. 70(C), pages 227-247.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:wsi:ijfexx:v:07:y:2020:i:01:n:s2424786320500097. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Tai Tone Lim (email available below). General contact details of provider: http://www.worldscientific.com/worldscinet/ijfe .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.