The Application of Bühlmann‑Straub Model with Data Correction for the Estimation of Net Premium Rates in Bonus‑Malus Systems of the Motor Third Liability Insurance

One of the elements used in the process of tariff calculation of premiums in motor liability insurance is a bonus‑malus system. This systems takes into account the “claims ratio” by means of increases and discounts of the base premium called net premium rates. The aim of this work is to propose an e...

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Bibliographic Details
Main Author: Anna Edyta Szymańska
Format: Article
Language:English
Published: Lodz University Press 2018-09-01
Series:Acta Universitatis Lodziensis. Folia Oeconomica
Subjects:
Online Access:https://czasopisma.uni.lodz.pl/foe/article/view/946
Description
Summary:One of the elements used in the process of tariff calculation of premiums in motor liability insurance is a bonus‑malus system. This systems takes into account the “claims ratio” by means of increases and discounts of the base premium called net premium rates. The aim of this work is to propose an estimation method of the net premium rates in the bonus‑malus classes of the motor third‑party liability insurance portfolio of individuals. The Bühlmann‑Straub model was used for the premium estimation. In order to improve the credibility of the estimated premium rates, a data correction in the classes with premium increase was preformed. An example of the application of the new method is presented based on the data obtained from one of the insurance companies operating on the Polish market, which has reserved the right to stay anonymous.
ISSN:0208-6018
2353-7663