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.

2020W, VO, 3.0h, 4.5EC
Lecture TubeTUWEL

Properties

  • Semester hours: 3.0
  • Credits: 4.5
  • Type: VO Lecture
  • LectureTube course
  • Format: Hybrid

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

Written

Lecturers

Institute

Course dates

DayTimeDateLocationDescription
Wed12:00 - 15:0007.10.2020 - 04.11.2020FH 8 Nöbauer HS - MATH .
Wed12:00 - 15:0011.11.2020 - 27.01.2021FH 8 Nöbauer HS - MATH (LIVE)Livestream/Aufnahme
Life insurance mathematics - Single appointments
DayDateTimeLocationDescription
Wed07.10.202012:00 - 15:00FH 8 Nöbauer HS - MATH .
Wed14.10.202012:00 - 15:00FH 8 Nöbauer HS - MATH .
Wed21.10.202012:00 - 15:00FH 8 Nöbauer HS - MATH .
Wed28.10.202012:00 - 15:00FH 8 Nöbauer HS - MATH .
Wed04.11.202012:00 - 15:00FH 8 Nöbauer HS - MATH Livestream/Aufnahme
Wed11.11.202012:00 - 15:00FH 8 Nöbauer HS - MATH Livestream/Aufnahme
Wed18.11.202012:00 - 15:00FH 8 Nöbauer HS - MATH Livestream/Aufnahme
Wed25.11.202012:00 - 15:00FH 8 Nöbauer HS - MATH Livestream/Aufnahme
Wed02.12.202012:00 - 15:00FH 8 Nöbauer HS - MATH Livestream/Aufnahme
Wed09.12.202012:00 - 15:00FH 8 Nöbauer HS - MATH Livestream/Aufnahme
Wed16.12.202012:00 - 15:00FH 8 Nöbauer HS - MATH Livestream/Aufnahme
Wed13.01.202112:00 - 15:00FH 8 Nöbauer HS - MATH Livestream/Aufnahme
Wed20.01.202112:00 - 15:00FH 8 Nöbauer HS - MATH Livestream/Aufnahme
Wed27.01.202112:00 - 15:00FH 8 Nöbauer HS - MATH Livestream/Aufnahme

Examination modalities

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

Course registration

Begin End Deregistration end
03.07.2020 00:00 15.09.2021 23:59 31.10.2020 23:59

Registration modalities

Anmeldung für LVA-Unterlagen notwendig.

Curricula

Study CodeSemesterPrecon.Info
033 205 Financial and Actuarial Mathematics 3. Semester

Literature

  • Hans U. Gerber, Life Insurance Mathematics, Springer-Verlag, Second or Third Edition (Englisch). Or: Hans U. Gerber, Lebensversicherungsmathematik, Springer-Verlag, erste Auflage, 1986 (Deutsch).
  • Martin Predota, Prämienkalkulation in der Lebensversicherung: Einführung mit Beispielen aus der Praxis, AVM-Verlag (Meidenbauer), 2010 (Deutsch).
  • David C.M. Dickson, Mary R. Hardy and Howard R. Waters, Actuarial Mathematics for Life Contingent Risks, Cambridge University Press, 2009.

Accompanying courses

Language

German