Bonus-malus systems typically lead to high maluses when claims at fault are reported. Such penalties are often difficult to implement in practice. It is shown in this paper that this drawback may be avoided by combining a posteriori premium corrections with a deductible varying according to the level occupied in the scale.
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Louvain School of ManagementCESAM - Center for Studies in Asset Management
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Pitrebois, S., Walhin, J.-F., & Denuit, M. (2005). Bonus-malus systems with varying deductibles. Astin Bulletin : the journal of the International Actuarial Association, 35(1), 261-274. https://doi.org/10.2143/AST.35.1.583175 (Original work published 2005)