IDEAS home Printed from https://ideas.repec.org/p/lvl/lacicr/0423.html
   My bibliography  Save this paper

Vehicle and Fleet Random Effects in a Model of Insurance Rating for Fleets of Vehicles

Author

Listed:
  • Jean-François Angers
  • Denise Desjardins
  • Georges Dionne
  • François Guertin

Abstract

We are proposing a parametric model to rate insurance for vehicles belonging to a fleet. The tables of premiums presented take into account past vehicle accidents, observable characteristics of the vehicles and fleets, and violations of the road-safety code committed by drivers and carriers. The premiums are also adjusted according to accidents accumulated by the fleets over time. The model proposed accounts directly for explicit changes in the various components of the probability of accidents. It represents an extension of bonus-malus-type automobile insurance models for individual premiums (Lemaire, 1985; Dionne and Vannase, 1989 and 1992; Pinquet, 1997 and 1998; Frangos and Vrontos, 2001; Purcaru and Denuit, 2003). The extension adds a fleet effect to the vehicle effect so as to account for the impact that the unobservable characteristics or actions of carriers can have on truck accident rates. This form of rating makes it possible to visualize what impact the behaviors of owners and drivers can have on the predicted rate of accidents and, consequently, on premiums.

Suggested Citation

  • Jean-François Angers & Denise Desjardins & Georges Dionne & François Guertin, 2004. "Vehicle and Fleet Random Effects in a Model of Insurance Rating for Fleets of Vehicles," Cahiers de recherche 0423, CIRPEE.
  • Handle: RePEc:lvl:lacicr:0423
    as

    Download full text from publisher

    File URL: http://www.cirpee.org/fileadmin/documents/Cahiers_2004/CIRPEE04-23.pdf
    Download Restriction: no

    Other versions of this item:

    References listed on IDEAS

    as
    1. Dionne, G. & Vanasse, C., 1988. "A Generalization Of Automobile Insurance Rating Models: The Negative Binomial Distribution With A Regression Component," Cahiers de recherche 8833, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    2. Pinquet, Jean, 1998. "Designing Optimal Bonus-Malus Systems from Different Types of Claims," ASTIN Bulletin: The Journal of the International Actuarial Association, Cambridge University Press, vol. 28(02), pages 205-220, November.
    3. John M. Abowd & Francis Kramarz & David N. Margolis, 1999. "High Wage Workers and High Wage Firms," Econometrica, Econometric Society, pages 251-334.
    4. Pinquet, Jean, 1997. "Allowance for Cost of Claims in Bonus-Malus Systems," ASTIN Bulletin: The Journal of the International Actuarial Association, Cambridge University Press, vol. 27(01), pages 33-57, May.
    5. Desjardins, Denise & Dionne, Georges & Pinquet, Jean, 2001. "Experience Rating Schemes for Fleets of Vehicles," ASTIN Bulletin: The Journal of the International Actuarial Association, Cambridge University Press, vol. 31(01), pages 81-105, May.
    6. Teugels, Jozef L. & Sundt, Bjorn, 1991. "A stop-loss experience rating scheme for fleets of cars," Insurance: Mathematics and Economics, Elsevier, vol. 10(3), pages 173-179, December.
    7. Dionne, G & Vanasse, C, 1992. "Automobile Insurance Ratemaking in the Presence of Asymmetrical Information," Journal of Applied Econometrics, John Wiley & Sons, Ltd., pages 149-165.
    8. Hausman, Jerry & Hall, Bronwyn H & Griliches, Zvi, 1984. "Econometric Models for Count Data with an Application to the Patents-R&D Relationship," Econometrica, Econometric Society, vol. 52(4), pages 909-938, July.
    9. Dionne, G. & Laberge-Nadeau, C. & Desjardins, D. & Messier, S. & Maag, U., 1998. "Analysis of the Economic Impact of Medical and Optometric Driving Standards on Costs Incured by Trucking Firms and on the Social Costs of Traffic Accidents," Ecole des Hautes Etudes Commerciales de Montreal- 98-06, Ecole des Hautes Etudes Commerciales de Montreal-Chaire de gestion des risques..
    10. Dionne, G. & Desjardins, D. & Ingabire, M.-G. & Aqdim, R., 2001. "La perception du risque d'etre arrete chez les camionneurs et transporteurs routiers," Ecole des Hautes Etudes Commerciales de Montreal- 01-03, Ecole des Hautes Etudes Commerciales de Montreal-Chaire de gestion des risques..
    11. Frangos, Nicholas E. & Vrontos, Spyridon D., 2001. "Design of Optimal Bonus-Malus Systems With a Frequency and a Severity Component On an Individual Basis in Automobile Insurance," ASTIN Bulletin: The Journal of the International Actuarial Association, Cambridge University Press, vol. 31(01), pages 1-22, May.
    12. Purcaru, Oana & Denuit, Michel, 2003. "Dependence in Dynamic Claim Frequency Credibility Models," ASTIN Bulletin: The Journal of the International Actuarial Association, Cambridge University Press, vol. 33(01), pages 23-40, May.
    13. J. Pinquet, 1997. "Experience rating through heterogeneous models," THEMA Working Papers 97-25, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Angers, Jean-François & Desjardins, Denise & Dionne, Georges, 2004. "Modèle Bayésien de tarification de l’assurance des flottes de véhicules," L'Actualité Economique, Société Canadienne de Science Economique, vol. 80(2), pages 253-303, Juin-Sept.
    2. Wojciech Bijak, 2015. "Merging and aggregation of bonus-malus systems in automobile insurance," Collegium of Economic Analysis Annals, Warsaw School of Economics, Collegium of Economic Analysis, issue 37, pages 127-154.
    3. Dauphin, Anyck & Fortin, Bernard & Lacroix, Guy, 2015. "How Falsifiable is the Collective Model? A New Test with an Application to Monogamous and Bigamous Households in Burkina Faso," IZA Discussion Papers 9002, Institute for the Study of Labor (IZA).
    4. Marcin Owczarczuk & Damian Przekop, 2014. "Accidents of company cars. A full service leasing company’s perspective," Applied Econometrics Papers, Department of Applied Econometrics, Warsaw School of Economics, vol. 1(1), pages 39-63.
    5. Jean Pinquet, 2012. "Experience rating in non-life insurance," Working Papers hal-00677100, HAL.

    More about this item

    Keywords

    Fleet of vehicles; random effects; vehicle effect; fleet effect; insurance pricing; behaviors of owners and drivers; Poisson; gamma; Dirichlet;

    JEL classification:

    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • G22 - Financial Economics - - Financial Institutions and Services - - - Insurance; Insurance Companies; Actuarial Studies

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:lvl:lacicr:0423. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Manuel Paradis). General contact details of provider: http://edirc.repec.org/data/cirpeca.html .

    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 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.

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.