scholarly journals The Application of Bühlmann-Straub Model to the Estimation of Net Premium Rates in the Motor Third-Party Liability Insurance of Vehicle Owners

Author(s):  
Anna Szymańska
2018 ◽  
Vol 4 (336) ◽  
pp. 7-22
Author(s):  
Anna Edyta Szymańska

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.


2018 ◽  
pp. 101
Author(s):  
Rafael Lara González

ResumenPese a su ubicuidad en la práctica contractual, las cláusulas de franquicia han recibido tratamiento incidental en la doctrina. La discusión sobre ellas se ha enfocado en los contratos de seguros de responsabilidad civil, y en la interpretación del artículo 76 de la Ley española de Contrato de Seguro. En este contexto se ha tratado de establecer si el asegurador puede o no oponer la cláusula de franquicia al tercero perjudicado. El presente trabajo analiza la cláusula de franquicia en la obligación principal del asegurador, su naturaleza jurídica, y examina su relación con los terceros perjudicados. La consideración principal a este respecto estará en si nos encontramos ante un seguro obligatorio o ante un seguro voluntario de responsabilidad civil. Palabras clave: Contrato de seguro; Cláusula de franquicia; Terceroperjudicado; Responsabilidad civil.AbstractDespite their ubiquity in contractual praxis, deductible clauses have received only incidental treatment in legal doctrine. Discussion on them has focused on civil liability insurance contracts, and the interpretation of article 76 of the Spanish Law of Insurance Contracts. In this context it has been attempted to establish whether the insurer can invoke the clause to oppose the injured third party's claim. This article examines the deductible clause included in the insurer's main obligation, its legal nature, and its relation to injured third parties. The main consideration in this regard will be whether the insurance contract is of a mandatory or voluntary nature.Keywords: Insurance contract; Deductible clause; Injured third party; Civil liability.


2016 ◽  
Vol 3 (322) ◽  
Author(s):  
Anna Szymańska

One of the basic variables used in the process of tariff calculation of premiums in motor hull liability insurance is the age of the insured. In this type of insurance offered by insurers operating on the Polish market, this variable is taken into account in the ratemaking by discounts and increases in assigned premium, known as the net premiums rates. The aim of this work is to propose a method of rate estimation of net premiums in the groups of the motor hull liability insurance portfolio of individuals created by the age of the insured. For the premium estimation one of the maximum likelihood models, called the Bühlmann-Straub model was used.


Company Law ◽  
2020 ◽  
pp. 177-206
Author(s):  
Alan Dignam ◽  
John Lowry

Titles in the Core Text series take the reader straight to the heart of the subject, providing focused, concise, and reliable guides for students at all levels. This chapter examines derivative action as a means of safeguarding minority shareholders against abuses of power and its implications for the principle of majority rule. It begins by analysing the rule in Foss v Harbottle (1843), which translates the doctrine of separate legal personality, the statutory contract, the ‘internal management principle’, and the principle of majority rule into a rule of procedure governing locus standi (that is, who has standing to sue), as well as the exceptions to that rule. It then considers various types of shareholder actions, including personal claims, representative actions (group litigation), and derivative claims. It also discusses derivative claims under the Companies Act 2006, with emphasis on the two-stage process of the application for permission to continue a derivative claim. The chapter concludes by assessing bars to a derivative action, together with liability insurance and qualifying third party indemnity provisions.


1972 ◽  
Vol 98 (2) ◽  
pp. 149-156
Author(s):  
J. E. Eriksen ◽  
E. J. Jones

The authors have advised on the level of motor vehicle (third party risks) insurance rates of premium in the circumstances under which that business is written in New Zealand and this paper records the approach taken. It has been prepared in the hope that, as no difficult mathematics are involved, the basic ideas may appeal both to actuaries and to persons other than actuaries who are interested in the transaction of non-life insurance. They are relevant not merely to third party motor insurance but also to non-life insurance generally in a situation where insurance is compulsory and the rates of premium are centrally controlled. In those circumstances more sophisticated techniques of deriving premium rates are less necessary.


Risks ◽  
2019 ◽  
Vol 7 (3) ◽  
pp. 71 ◽  
Author(s):  
Marjan Qazvini

In this study, we consider the problem of zero claims in a liability insurance portfolio and compare the predictability of three models. We use French motor third party liability (MTPL) insurance data, which has been used for a pricing game, and show that how the type of coverage and policyholders’ willingness to subscribe to insurance pricing, based on telematics data, affects their driving behaviour and hence their claims. Using our validation set, we then predict the number of zero claims. Our results show that although a zero-inflated Poisson (ZIP) model performs better than a Poisson regression, it can even be outperformed by logistic regression.


Space Policy ◽  
1988 ◽  
Vol 4 (3) ◽  
pp. 211-220
Author(s):  
Joel S. Greenberg

2014 ◽  
Vol 17 (1) ◽  
pp. 145-165
Author(s):  
Justyna Witkowska ◽  
Aušrinė Lakštutienė

This article analyses trends in the development of the commercial insurance market in Poland and in Lithuania over the last decade. The insurance market changed in the 2002-2011 period. Those changes can be seen in various fields of commercial insurance. Data on the number of insurers, total premiums written, and the trends in claim payments and claim ratios were used to perform a market trend analysis. It should be emphasized that Poland experienced the results of the financial crisis in the insurance market later than Lithuania, which is visible in specific ratios under analysis. In Lithuania, in terms of insurance expenditures, non-life insurance products are definitely more popular, while in Poland life insurance plays the most important role. Poles buy most life insurance from group 1, and Lithuanians from group 3. In the case of non-life insurance, motor vehicle insurance (third-party liability insurance and casco (collision/personal liability insurance)) and property insurance are the leading forms of insurance purchased by both Poles and Lithuanians, as well as other Europeans.


2011 ◽  
Vol 29 (2) ◽  
pp. 375-417
Author(s):  
Sachin S. Pandya

This article studies the rise and fall of the first liability insurance cartel in the United States. In 1886, insurance companies in America began selling liability insurance for personal injury accidents, primarily to cover business tort liability for employee accidents at work and non-employee injuries occasioned by their business operations. In 1896, the leading liability insurers agreed to fix premium rates and share information on policyholder losses. In 1906, this cartel fell apart.


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