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Document Details :

Title: A financially Balanced Bonus/Malus System
Author(s): DORAY, L. , COENE, G.
Journal: ASTIN Bulletin
Volume: 26    Issue: 1   Date: May 1996   
Pages: 107-116
DOI: 10.2143/AST.26.1.563236

Abstract :
The premiums for a bonus-malus system which stays in financial equilibrum over the years are calculated This is done by minimizing a quadratic function of the difference between the premium for an optimal BMS with an infinite number of classes and the premium for a BMS with a finite number of classes, weighted by the stationary probability of being in a certain class, and by imposing various constraints on the system.