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This entry is from Winter semester 2021/22 and might be obsolete. No current equivalent could be found.

Mathematics of Personal Insurance: Health Insurance
(dt. Personenversicherungsmathematik: Krankenversicherung)

Level, degree of commitment Specialization module, compulsory elective module
Forms of teaching and learning,
Lecture (2 SWS, in Blockveranstaltungen),
90 hours (30 h attendance, 60 h private study)
Credit points,
formal requirements
3 CP
Course requirement(s): Successful completion of at least 50 percent of the points from the weekly exercises.
Examination type: Written examination
The grading is done with 0 to 15 points according to the examination regulations for the degree program M.Sc. Business Mathematics.
One semester,
Regelmäßig alle 4 Semester
Person in charge of the module's outline Prof. Dr. Ernst-Wilhelm Zachow


Probabilistic modelling, random variables in personal insurance, biometric and other calculation bases, present values, equivalence principle.

Health insurance mathematics:

Legal framework in the structured health insurance system, premium calculation, ageing provision, accounting principles for health insurance, profit participation and its use, profit analysis, key figures.

Qualification Goals

The students shall

  • learn the basics of actuarial modelling and actuarial control cycles in health insurance,
  • model simple tasks of a practical and theoretical nature independently, then lead them to a solution and present them in a realistic way,
  • practice mathematical working methods (development of mathematical intuition and its formal justification, training of the ability to abstract, to prove),
  • improve their oral communication skills in the exercises by practicing free speech in front of an audience and during discussion.


None. The competences taught in the following modules are recommended: either Linear Algebra I and Linear Algebra II or Basic Linear Algebra, either Analysis I and Analysis II or Basic Real Analysis, Elementary Stochastics.


The module can be attended at FB12 in study program(s)

  • B.Sc. Mathematics
  • B.Sc. Business Mathematics
  • M.Sc. Computer Science
  • M.Sc. Mathematics
  • M.Sc. Business Mathematics

When studying M.Sc. Business Mathematics, this module can be attended in the study area Applied Modules in Business Mathematics.

The module can also be used in other study programs (export module).

Recommended Reading

  • Milbrodt: Aktuarielle Methoden der deutschen Privaten Krankenversicherung. Verlag Versicherungswirtschaft, Karlsruhe, 2005.
  • Milbrodt/Helbig: Mathematische Methoden der Personenversicherung.
  • Walter de Gruyter, Berlin-NewYork, 1999.

Please note:

This page describes a module according to the latest valid module guide in Winter semester 2021/22. Most rules valid for a module are not covered by the examination regulations and can therefore be updated on a semesterly basis. The following versions are available in the online module guide:

The module guide contains all modules, independent of the current event offer. Please compare the current course catalogue in Marvin.

The information in this online module guide was created automatically. Legally binding is only the information in the examination regulations (Prüfungsordnung). If you notice any discrepancies or errors, we would be grateful for any advice.