discipline 
MSc in
Mathematics

subject 
Premium
Calculation

lecturers 
László
Márkus, assoc. prof., Dept.
of Probability Theory and Statistics, Institute of Mathematics György Michaletzky, professor, Dept. of Probability Theory and
Statistics, N. Miklós
Arató, assoc. prof., Dept. of Probability Theory and Statistics, Vilmos Prokaj, assoc. prof., Dept. of Probability Theory and Statistics, András
Zempléni, assoc. prof., Dept. of Probability Theory and Statistics, 
credits 
2 
period 
2 
curriculum 
Risks and fitting of loss distributions. Analysis of loss frequencies and loss sizes. Panjer’s recursion. Principle of expected value, maximal loss, variance, semiinvariant. Utility function (principle of zero utility). Basic properties of premium calculations, additivity, shift invariance, homogenity, multiplicativity, invariance under iteration. Credibility
theory Bonusmalus
systems 
literature 
Suggested readings: Bowers,N.L.
et al.(1986). Actuarial Mathematics. Society of Actuaries. 
form of tuition 
Lectures 
mode of assessment 
oral exam 