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2017

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cc-by (c) Boucher, Jean-Philippe et al., 2017
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/120171

Exposure as duration and distance in telematics motor insurance using generalized additive models

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https://doi.org/10.3390/risks5040054

Abstract

In Pay-As-You-Drive (PAYD) automobile insurance, the premium is fixed based on the distance traveled, while in usage-based insurance (UBI) the driving patterns of the policyholder are also considered. In those schemes, drivers who drive more pay a higher premium compared to those with the same characteristics who drive only occasionally, because the former are more exposed to the risk of accident. In this paper, we analyze the simultaneous effect of the distance traveled and exposure time on the risk of accident by using Generalized Additive Models (GAM). We carry out an empirical application and show that the expected number of claims (1) stabilizes once a certain number of accumulated distance-driven is reached and (2) it is not proportional to the duration of the contract, which is in contradiction to insurance practice. Finally, we propose to use a rating system that takes into account simultaneously exposure time and distance traveled in the premium calculation. We think that this is the trend the automobile insurance market is going to follow with the eruption of telematics data.

Subject

Preus, Inferència, Risc (Assegurances), Assegurances

Subject (English)

Pricing, Inference, Risk (Insurance), Insurance

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Articles publicats en revistes (Econometria, Estadística i Economia Aplicada)

Citation

BOUCHER, Jean-Philippe, CÔTÉ, Steven and GUILLÉN, Montserrat. Exposure as duration and distance in telematics motor insurance using generalized additive models. Risks . 2017. Vol. 5, num. 4, pags. 54-74. ISSN 2227-9091. [consulted: 8 of August of 2026]. Available at: https://hdl.handle.net/2445/120171

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