Inhalt

[ 404MAMCNLIV23 ] VL Non-Life Insurance Mathematics

Versionsauswahl
Workload Education level Study areas Responsible person Hours per week Coordinating university
3 ECTS M - Master's programme Mathematics Sascha Desmettre 2 hpw Johannes Kepler University Linz
Detailed information
Original study plan Master's programme Computational Mathematics 2025W
Learning Outcomes
Competences
The students should be able to evaluate basic non-life insurance contracts. This includes in particular the modeling of damage distributions, the calculation of the probability of ruin and insurance premiums.
Skills Knowledge
  • Distinguish between types of insurance
  • Select the correct claim size distribution for the respective applications
  • Apply the individual and collective model for claims
  • Calculate ruin times and probabilities of ruin
  • Define and distinguish between premium principles
Insurance principle, convolutions and transformed, compound Poisson distribution, individual model, collective model, approximation of models, Panjer recursion, Poission process, risk processes, Cramer Lundberg model and inequality, premium calculation, reserves, chain ladder method
Criteria for evaluation Oral exam.
Methods Blackboard presentation.
Language English
Study material Hanspeter Schmidli, Risk Theory, Springer, 2017; Thomas Mikosch, Non-Life Insurance Mathematics: An Introduction with the Poisson Process, Springer, 2009.
Changing subject? No
On-site course
Maximum number of participants -
Assignment procedure Direct assignment