Proceedings of the 1st International Conference on Mathematics and Mathematics Education (ICMMEd 2020)

Prediction of Future Insurance Premiums When the Model is Uncertain

Authors
Tri Andika Julia Putra, Donny Citra Lesmana, I Gusti Putu Purnaba
Corresponding Author
Donny Citra Lesmana
Available Online 11 May 2021.
DOI
10.2991/assehr.k.210508.054How to use a DOI?
Keywords
Premiums of insurance, Generalized linear models, Frequency of claims, Cost of claim
Abstract

It is an important task for an actuary in determining an appropriate premium price for each customer with different risks and characteristics. The purpose of this study is to determine the best model for pure general insurance premiums and variables that can affect the amount of pure premiums. One of statistical analyzes that can be used to model insurance premiums is Generalized Linear Models (GLM). GLM is an extension of the classic regression model that can accommodate the flexibility of its users to use multiple data distributions, but is limited to the exponential family distribution. In the GLM model the premium is obtained by multiplying the conditional expected value from frequency of claims and cost of claims. Based on the research that has been done, it is found that frequency of claims follows the Poisson distribution. Meanwhile, cost of claim follows the Normal distribution. From the two models, it is found that the variables that affect the pure premium are the type of work, the reason for the claim, the location of residence, the marital status and the class of the customer’s vehicle. It indicates that the GLM model is a representative model and useful for the insurance company business.

Copyright
© 2021, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Volume Title
Proceedings of the 1st International Conference on Mathematics and Mathematics Education (ICMMEd 2020)
Series
Advances in Social Science, Education and Humanities Research
Publication Date
11 May 2021
ISBN
10.2991/assehr.k.210508.054
ISSN
2352-5398
DOI
10.2991/assehr.k.210508.054How to use a DOI?
Copyright
© 2021, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - CONF
AU  - Tri Andika Julia Putra
AU  - Donny Citra Lesmana
AU  - I Gusti Putu Purnaba
PY  - 2021
DA  - 2021/05/11
TI  - Prediction of Future Insurance Premiums When the Model is Uncertain
BT  - Proceedings of the 1st International Conference on Mathematics and Mathematics Education (ICMMEd 2020)
PB  - Atlantis Press
SP  - 128
EP  - 135
SN  - 2352-5398
UR  - https://doi.org/10.2991/assehr.k.210508.054
DO  - 10.2991/assehr.k.210508.054
ID  - Putra2021
ER  -