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Note on mismodelling of policyholder?s age in claim frequency model: a matter of gender in vehicle insurance

Author

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  • Ji?í Valecký

    (V?B-TUO, Faculty of Economics)

Abstract

Using the motor hull insurance data of Czech insurer, the paper deals with how mismodelling of policyholder?s age can induce misleading conclusions about the gender differences in claim frequency within vehicle insurance. This study is based on individual data with unit policy duration and puts the emphasis on correct modelling of functional form of the age to show that mismodelling as well as categorization yields misleading conclusions and, finally, we demonstrate how the inferences depend on categorization itself. Thus, we showed that linear form as well as the categorization increases the type I error to detect the obvious interaction between gender and age. By involving fractional polynomials, the results partially support the judgement of European Court of Justice to ban using gender as a rating factor, in particular for young policyholders. We concluded that, if another relevant data are not available, the gender as well as interaction with the age should be considered in the claim frequency model although such model cannot be used for setting premium.

Suggested Citation

  • Ji?í Valecký, 2020. "Note on mismodelling of policyholder?s age in claim frequency model: a matter of gender in vehicle insurance," International Journal of Economic Sciences, International Institute of Social and Economic Sciences, vol. 9(1), pages 224-240, June.
  • Handle: RePEc:sek:jijoes:v:9:y:2020:i:1:p:224-240
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    References listed on IDEAS

    as
    1. Cameron, A Colin & Trivedi, Pravin K, 1986. "Econometric Models Based on Count Data: Comparisons and Applications of Some Estimators and Tests," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 1(1), pages 29-53, January.
    2. Greene, William, 2008. "Functional forms for the negative binomial model for count data," Economics Letters, Elsevier, vol. 99(3), pages 585-590, June.
    3. Martin Branda, 2014. "Optimization Approaches to Multiplicative Tariff of Rates Estimation in Non-Life Insurance," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 31(05), pages 1-17.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    age; claim frequency; effect modifier; fractional polynomials; gender; interaction; vehicle insurance;
    All these keywords.

    JEL classification:

    • C31 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Cross-Sectional Models; Spatial Models; Treatment Effect Models; Quantile Regressions; Social Interaction Models
    • C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation
    • G22 - Financial Economics - - Financial Institutions and Services - - - Insurance; Insurance Companies; Actuarial Studies

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