Risk Theory II

With respect to any questions concerning exams and/or courses in the summer semester, please check https://www.uni-ulm.de/en/universitaet/communications/information-about-the-coronavirus/ for current official information.


Prof. Dr. Mitja Stadje


Fangyuan Zhang



Exercise session

Important Information

  • The lecture and exercises are in English.
  • All further information on the lecture and all documents will be uploaded to moodle.
  • It is strongly recommended that participants register for the course on moodle before the beginning of the semester


4 hours lecture + 2 hours exercises


Introductory Courses to Probability Theory and Statistics, Analysis 1-2, Linear Algebra 1-2. Risk Theory I is strongly recommended.

Intended audience

Master students in Mathematics, Master students in Business Mathematics (Wirtschaftsmathematik), Master students in Mathematical Biometry and Master students in Finance.


The content is guided by the standards of the DAV. This course provides an introduction to the mathematical models of (non-life) insurance with emphasis on

  • Individual and collective model and their applications
  • Ruin probabilities
  • Stochastic ordering
  • Premium calculation
  • Credibility theory
  • Claim reserving
  • Reinsurance
  • Bonus-Malus system/Markov-Chains
  • Risk measures


The new DAV-certificate "Versicherungsmathematik" can be obtained by passing this course, and having passed Life-, Health and Pension-Mathematics (PVM).


  • Kaas, R., Goovaerts, M., Dhaene, J., Denuit, M., Modern actuarial risk theory using R, Springer, 2008
  • Klugman, S. A., Panjer, H. H., Willmot, G. E., Loss models. From data to decisions, Wiley, 1998
  • Mack, T., Schadenversicherungsmathematik, Schriftenreihe Angewandte Versicherungsmathematik, Heft 28, 2. Auflage, VerlagVersicherungswirtschaft, Karlsruhe, 2002
  • Rolski, T., Schmidli, H., Schmidt, V., Teugels, J.. Stochastic Processes for Insurance and Finance, J. Wiley & Sons, Chichester, 1998
  • Schmidt, K., Lectures on risk theory, Teubner, Stuttgart, 1996