RT Report
T1 On the evaluation of the asymptotic fairness of bonus-malus systems
A1 Heras Martínez, Antonio José
A1 Vilar Zanón, José Luis
A1 Gil Fana, José Antonio
AB In this paper we try to evaluate the asymptotic fairness of bonus-malus systems, assuming the simplest case when there is no hunger for bonus.The asymptotic fairness has to be understood as the bonus-malus systemability in assessing the individual risks in the long run (see Lemaire[1995] p.xvi). Firstly we de…ne the asymptotic fairness of a bonus-malussystem following an expression that can be found in Lemaire [1985] p.168. Secondly, we de…ne a measure of the global asymptotic fairness considering the structure function of the risk group. Finally we try to calculate, for each set of transition rules and a given structure function,the scale of premiums that brings the global asymptotic fairness closest to the ideal situation where each insured pays in the long run a premium corresponding to its own claim frequency. This is possible thanks to the application of a multiobjective optimization technique named Goal Programing. We give an example illustrating the fact that the ideal case could be fairly well approached.
PB Facultad de Ciencias Económicas y Empresariales, Universidad Complutense de Madrid
SN 2255-5471
YR 2001
FD 2001
LK https://hdl.handle.net/20.500.14352/64429
UL https://hdl.handle.net/20.500.14352/64429
LA eng
DS Docta Complutense
RD 22 abr 2025