IDEAS home Printed from https://ideas.repec.org/a/kap/iaecre/v12y2006i4p523-52910.1007-s11294-006-9047-x.html
   My bibliography  Save this article

A Stochastic Minimax Model to Calculate Outstanding Claims

Author

Listed:
  • Antonio Ibarra Alfaraz
  • Santiago Leguey Galán
  • Ana Cid Cid
  • Ana Rabadán Gómez

Abstract

Correct estimation of the Outstanding Claims Reserve, an item that includes Incurred But Not Reported Claims (IBNR) as well as Incurred But Not Enough Reserved Claims (IBNER), is one of the most important issues currently facing actuarial science, due to its effect on the technical and financial stability of insurance companies. The purpose of this paper is to calculate the reserve in a decision-making environment, so that estimates can be made according to accurately defined and previously established rational criteria. Specifically, the estimating process enables a company’s particular situation to be taken into account, by incorporating its approach to the consequences arising from estimation errors into the model. The proposed calculation method gives rise to optimum link ratio estimators that can also be interpreted from a Bayesian perspective, with the advantages associated to such methodology. Copyright International Atlantic Economic Society 2006

Suggested Citation

  • Antonio Ibarra Alfaraz & Santiago Leguey Galán & Ana Cid Cid & Ana Rabadán Gómez, 2006. "A Stochastic Minimax Model to Calculate Outstanding Claims," International Advances in Economic Research, Springer;International Atlantic Economic Society, vol. 12(4), pages 523-529, November.
    • Handle: RePEc:kap:iaecre:v:12:y:2006:i:4:p:523-529:10.1007/s11294-006-9047-x
    DOI: 10.1007/s11294-006-9047-x
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s11294-006-9047-x
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s11294-006-9047-x?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. England, Peter & Verrall, Richard, 1999. "Analytic and bootstrap estimates of prediction errors in claims reserving," Insurance: Mathematics and Economics, Elsevier, vol. 25(3), pages 281-293, December.
    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. England, Peter, 2002. "Addendum to "Analytic and bootstrap estimates of prediction errors in claims reserving"," Insurance: Mathematics and Economics, Elsevier, vol. 31(3), pages 461-466, December.
    2. Alonso González, Pablo, 2013. "Dependency evolution in Spanish disabled population : a functional data analysis approach," DES - Working Papers. Statistics and Econometrics. WS ws130403, Universidad Carlos III de Madrid. Departamento de Estadística.
    3. Gian Paolo Clemente & Nino Savelli & Diego Zappa, 2019. "Modelling Outstanding Claims with Mixed Compound Processes in Insurance," International Business Research, Canadian Center of Science and Education, vol. 12(3), pages 123-138, March.
    4. Pitselis, Georgios & Grigoriadou, Vasiliki & Badounas, Ioannis, 2015. "Robust loss reserving in a log-linear model," Insurance: Mathematics and Economics, Elsevier, vol. 64(C), pages 14-27.
    5. D. Kuang & B. Nielsen, 2018. "Generalized Log-Normal Chain-Ladder," Papers 1806.05939, arXiv.org.
    6. Álvarez-Jareño, José Antonio & Coll-Serrano, Vicente, 2012. "Estimación de reservas en una compañía aseguradora. Una aplicación en Excel del método Chain-Ladder y Bootstrap || Estimating the Reserves in Insurance Companies: An Excel Application of the Chain-Lad," Revista de Métodos Cuantitativos para la Economía y la Empresa = Journal of Quantitative Methods for Economics and Business Administration, Universidad Pablo de Olavide, Department of Quantitative Methods for Economics and Business Administration, vol. 14(1), pages 124-136, December.
    7. Koissi, Marie-Claire & Shapiro, Arnold F. & Hognas, Goran, 2006. "Evaluating and extending the Lee-Carter model for mortality forecasting: Bootstrap confidence interval," Insurance: Mathematics and Economics, Elsevier, vol. 38(1), pages 1-20, February.
    8. Carnevale Giulio Ercole & Clemente Gian Paolo, 2020. "A Bayesian Internal Model for Reserve Risk: An Extension of the Correlated Chain Ladder," Risks, MDPI, vol. 8(4), pages 1-20, November.
    9. Irene Albarrán-Lozano & Pablo J. Alonso-González & Ana Arribas-Gil, 2017. "Dependence evolution in the Spanish disabled population: a functional data analysis approach," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 180(2), pages 657-677, February.
    10. Eduardo Ramos-P'erez & Pablo J. Alonso-Gonz'alez & Jos'e Javier N'u~nez-Vel'azquez, 2020. "Stochastic reserving with a stacked model based on a hybridized Artificial Neural Network," Papers 2008.07564, arXiv.org.
    11. Steinmetz, Julia & Jentsch, Carsten, 2024. "Bootstrap consistency for the Mack bootstrap," Insurance: Mathematics and Economics, Elsevier, vol. 115(C), pages 83-121.
    12. Liivika Tee & Meelis Käärik & Rauno Viin, 2017. "On Comparison of Stochastic Reserving Methods with Bootstrapping," Risks, MDPI, vol. 5(1), pages 1-21, January.
    13. Bohnert, Alexander & Gatzert, Nadine & Kolb, Andreas, 2016. "Assessing inflation risk in non-life insurance," Insurance: Mathematics and Economics, Elsevier, vol. 66(C), pages 86-96.
    14. Roberto Bomgiovani Cazzari & Guilherme Rodovalho Fernandes Moreira, 2022. "Uncertainty of Claims Provisions from the Analysis of Financial Statements," RAC - Revista de Administração Contemporânea (Journal of Contemporary Administration), ANPAD - Associação Nacional de Pós-Graduação e Pesquisa em Administração, vol. 26(3), pages 200400-2004.
    15. Gao, Suhao & Yu, Zhen, 2023. "Parametric expectile regression and its application for premium calculation," Insurance: Mathematics and Economics, Elsevier, vol. 111(C), pages 242-256.
    16. repec:kap:iaecre:v:12:y:2006:i:4:p:523-529 is not listed on IDEAS
    17. Mat'uv{s} Maciak & Ostap Okhrin & Michal Pev{s}ta, 2019. "Infinitely Stochastic Micro Forecasting," Papers 1908.10636, arXiv.org, revised Sep 2019.
    18. Kunkler, Michael, 2004. "Modelling zeros in stochastic reserving models," Insurance: Mathematics and Economics, Elsevier, vol. 34(1), pages 23-35, February.
    19. Gareth W. Peters & Mario V. Wuthrich & Pavel V. Shevchenko, 2010. "Chain ladder method: Bayesian bootstrap versus classical bootstrap," Papers 1004.2548, arXiv.org.
    20. Klaus Schmidt, 2012. "Loss prediction based on run-off triangles," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 96(2), pages 265-310, June.

    More about this item

    Keywords

    G22;

    JEL classification:

    • G22 - Financial Economics - - Financial Institutions and Services - - - Insurance; Insurance Companies; Actuarial Studies

    Statistics

    Access and download statistics

    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:kap:iaecre:v:12:y:2006:i:4:p:523-529:10.1007/s11294-006-9047-x. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.