105.048 Life insurance mathematics
This course is in all assigned curricula part of the STEOP.
This course is in at least 1 assigned curriculum part of the STEOP.

2023W, VO, 3.0h, 4.5EC


  • Semester hours: 3.0
  • Credits: 4.5
  • Type: VO Lecture
  • Format: Presence

Learning outcomes

After successful completion of the course, students are able to...

  • to describe basic notions of life insurance like survival probabilty and mortality intensity, and to generate statical estimators for them
  • to valuate insurance contracts like capital insurance and annuities according to the principle of equivalence
  • to calculate the prospective reserve, and to apply Thiele's differential equation

Subject of course

Introduction to the mathematics of life insurance, compound interest, perpetuities, annuities, bonds, modelling of the future lifetime, whole life and term insurance, pure endowments, endowments, life annuities, net premiums for the elementary forms of insurance (whole life and term insurance, pure endowments, endowments, deferred life annuities), policies with premium refund, net premium reserves for the different forms of insurance, generalisation of the models, the forms of insurance and the premium reserves to multiple decrements, multiple life insurance, expense loadings, estimating probabilities of death, cross-sectional and generation life tables

Teaching methods

blackboard presentation

Mode of examination




Course dates

Wed13:00 - 16:0004.10.2023 - 24.01.2024FH Hörsaal 3 - MATH .
Life insurance mathematics - Single appointments
Wed04.10.202313:00 - 16:00FH Hörsaal 3 - MATH .
Wed11.10.202313:00 - 16:00FH Hörsaal 3 - MATH .
Wed18.10.202313:00 - 16:00FH Hörsaal 3 - MATH .
Wed25.10.202313:00 - 16:00FH Hörsaal 3 - MATH .
Wed08.11.202313:00 - 16:00FH Hörsaal 3 - MATH .
Wed22.11.202313:00 - 16:00FH Hörsaal 3 - MATH .
Wed29.11.202313:00 - 16:00FH Hörsaal 3 - MATH .
Wed06.12.202313:00 - 16:00FH Hörsaal 3 - MATH .
Wed13.12.202313:00 - 16:00FH Hörsaal 3 - MATH .
Wed20.12.202313:00 - 16:00FH Hörsaal 3 - MATH .
Wed10.01.202413:00 - 16:00FH Hörsaal 3 - MATH .
Wed17.01.202413:00 - 16:00FH Hörsaal 3 - MATH .
Wed24.01.202413:00 - 16:00FH Hörsaal 3 - MATH .

Examination modalities

Written examination.
More information on: https://fam.tuwien.ac.at/lehre/pr/.


DayTimeDateRoomMode of examinationApplication timeApplication modeExam
Fri13:00 - 15:0003.05.2024FH 8 Nöbauer HS - MATH written11.04.2024 00:00 - 26.04.2024 23:59TISSPrüfung 2023S (Nebentermin)
Fri12:00 - 14:0027.09.2024FH Hörsaal 1 - MWB written01.01.2024 00:00 - 20.09.2024 23:59TISSPrüfung 2023W (letzter Termin)

Course registration

Begin End Deregistration end
30.06.2023 00:00 29.10.2023 00:59 29.10.2023 00:59

Registration modalities

Anmeldung für LVA-Unterlagen notwendig.


Study CodeObligationSemesterPrecon.Info
033 205 Financial and Actuarial Mathematics Mandatory3. Semester
860 GW Optional Courses - Technical Mathematics Not specified


  • Hans U. Gerber, Life Insurance Mathematics, Springer-Verlag, Second or Third Edition (Englisch). Or: Hans U. Gerber, Lebensversicherungsmathematik, Springer-Verlag, erste Auflage, 1986 (Deutsch).
  • W. Schachermayer, U. Schmock, N. Kusolitsch. Lebensversicherungsmathematik. Vorlesungsskript TU Wien
  • D. Dickson, M. Hardy, H. Waters. Actuarial Mathematics for Life Contingent Risks. Cambridge University Press
  • Ragnar Norberg. Risk & Stochastics in Life Insurance. Vorlesungsskript London School of Economics and Political Science
  • Martin Predota, Prämienkalkulation in der Lebensversicherung: Einführung mit Beispielen aus der Praxis, AVM-Verlag (Meidenbauer), 2010 (Deutsch).

Accompanying courses