# 105.048 Life insurance mathematics This course is in all assigned curricula part of the STEOP.\$(function(){PrimeFaces.cw("Tooltip","widget_j_id_20",{id:"j_id_20",showEffect:"fade",hideEffect:"fade",target:"isAllSteop"});});This course is in at least 1 assigned curriculum part of the STEOP.\$(function(){PrimeFaces.cw("Tooltip","widget_j_id_22",{id:"j_id_22",showEffect:"fade",hideEffect:"fade",target:"isAnySteop"});}); 2022W 2021W 2020W 2019W 2018W 2017W 2016W 2015W 2014W 2013W 2012W 2011W 2010W 2009W 2008W 2007W 2006W 2005W 2004W 2003W

2022W, VO, 3.0h, 4.5EC

## Properties

• 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

Written

## Course dates

DayTimeDateLocationDescription
Wed13:00 - 16:0005.10.2022 - 25.01.2023FH Hörsaal 3 - MATH VO Lebensversicherungsmathematik
Life insurance mathematics - Single appointments
DayDateTimeLocationDescription
Wed05.10.202213:00 - 16:00FH Hörsaal 3 - MATH VO Lebensversicherungsmathematik
Wed12.10.202213:00 - 16:00FH Hörsaal 3 - MATH VO Lebensversicherungsmathematik
Wed19.10.202213:00 - 16:00FH Hörsaal 3 - MATH VO Lebensversicherungsmathematik
Wed09.11.202213:00 - 16:00FH Hörsaal 3 - MATH VO Lebensversicherungsmathematik
Wed16.11.202213:00 - 16:00FH Hörsaal 3 - MATH VO Lebensversicherungsmathematik
Wed23.11.202213:00 - 16:00FH Hörsaal 3 - MATH VO Lebensversicherungsmathematik
Wed30.11.202213:00 - 16:00FH Hörsaal 3 - MATH VO Lebensversicherungsmathematik
Wed07.12.202213:00 - 16:00FH Hörsaal 3 - MATH VO Lebensversicherungsmathematik
Wed14.12.202213:00 - 16:00FH Hörsaal 3 - MATH VO Lebensversicherungsmathematik
Wed21.12.202213:00 - 16:00FH Hörsaal 3 - MATH VO Lebensversicherungsmathematik
Wed11.01.202313:00 - 16:00FH Hörsaal 3 - MATH VO Lebensversicherungsmathematik
Wed18.01.202313:00 - 16:00FH Hörsaal 3 - MATH VO Lebensversicherungsmathematik
Wed25.01.202313:00 - 16:00FH Hörsaal 3 - MATH VO Lebensversicherungsmathematik

## Examination modalities

Written examination.

## Exams

DayTimeDateRoomMode of examinationApplication timeApplication modeExam
Mon14:00 - 16:0030.01.2023FH Hörsaal 1 - MWB written03.11.2022 00:00 - 23.01.2023 23:59TISSPrüfung 2022W

## Course registration

Begin End Deregistration end
01.07.2022 00:00 30.10.2022 00:59 30.10.2022 00:59

### Registration modalities

Anmeldung für LVA-Unterlagen notwendig.

## 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).
• 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).

German