# 105.601 Life and health insurance mathematics This course is in all assigned curricula part of the STEOP.\$(function(){PrimeFaces.cw("Tooltip","widget_j_id_21",{id:"j_id_21",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_23",{id:"j_id_23",showEffect:"fade",hideEffect:"fade",target:"isAnySteop"});}); 2023W 2022W 2021W 2020W 2019W 2018W 2017W 2016W 2015W 2014W 2013W 2012W 2011W

2014W, VO, 4.0h, 6.0EC

## Properties

• Semester hours: 4.0
• Credits: 6.0
• Type: VO Lecture

## Aim of course

Actuarial models for life, disability and health insurance, mathematics for pensions, pension funds, healt insurance mathematics, unit-linked life insurance contracts.

## Subject of course

(I) Insurance of several lifes, total loss in a portfolio, collective model, Panjer recursion, reinsurance and types of contracts, inclusion of costs, sufficient premium, sufficient actuarial reserves, business plan, profit and contribution formula, profit sharing. (II) Introduction to pension insurance: Model (states and state changes), present values and reserves, methods for financing them. (III) Pension funds. (IV) Introduction to health insurance mathematics (according to life insurance mathematics): claims amount per risk and profiles, reserves, expense loading, conversion of a contract. (V) Unit-linked life insurance contracts: pricing of unit-linked contracts. Stochastic Interest: no principle of diversification.

## Course dates

DayTimeDateLocationDescription
Wed10:15 - 12:0001.10.2014FH Hörsaal 3 - MATH Der 1. Vorlesungstermin beginnt ca. 15 Minuten später, da Herr Gerhold beim Welcome Day Mathematik für Erstsemestrige (9-10 Uhr) mitwirkt
Tue10:00 - 12:0007.10.2014 - 13.01.2015FH Hörsaal 3 - MATH .
Wed10:00 - 12:0008.10.2014 - 28.01.2015FH Hörsaal 3 - MATH .
Life and health insurance mathematics - Single appointments
DayDateTimeLocationDescription
Wed01.10.201410:15 - 12:00FH Hörsaal 3 - MATH Der 1. Vorlesungstermin beginnt ca. 15 Minuten später, da Herr Gerhold beim Welcome Day Mathematik für Erstsemestrige (9-10 Uhr) mitwirkt
Tue07.10.201410:00 - 12:00FH Hörsaal 3 - MATH .
Wed08.10.201410:00 - 12:00FH Hörsaal 3 - MATH .
Tue14.10.201410:00 - 12:00FH Hörsaal 3 - MATH .
Wed15.10.201410:00 - 12:00FH Hörsaal 3 - MATH .
Tue21.10.201410:00 - 12:00FH Hörsaal 3 - MATH .
Tue28.10.201410:00 - 12:00FH Hörsaal 3 - MATH .
Tue04.11.201410:00 - 12:00FH Hörsaal 3 - MATH .
Tue11.11.201410:00 - 12:00FH Hörsaal 3 - MATH .
Tue18.11.201410:00 - 12:00FH Hörsaal 3 - MATH .
Tue25.11.201410:00 - 12:00FH Hörsaal 3 - MATH .
Tue02.12.201410:00 - 12:00FH Hörsaal 3 - MATH .
Tue09.12.201410:00 - 12:00FH Hörsaal 3 - MATH .
Tue16.12.201410:00 - 12:00FH Hörsaal 3 - MATH .
Wed17.12.201410:00 - 12:00FH Hörsaal 3 - MATH .
Wed07.01.201510:00 - 12:00FH Hörsaal 3 - MATH .
Tue13.01.201510:00 - 12:00FH Hörsaal 3 - MATH .
Wed14.01.201510:00 - 12:00FH Hörsaal 3 - MATH .
Wed21.01.201510:00 - 12:00FH Hörsaal 3 - MATH .
Wed28.01.201510:00 - 12:00FH Hörsaal 3 - MATH Ersatztermin für den entfallenen Termin am 20. Jänner 2015

oral exam

## Course registration

Begin End Deregistration end
06.10.2014 00:00 05.02.2015 23:59 05.02.2015 23:59

## Curricula

Study CodeObligationSemesterPrecon.Info
033 205 Financial and Actuarial Mathematics Mandatory5. Semester
066 405 Financial and Actuarial Mathematics Mandatory elective
860 GW Optional Courses - Technical Mathematics Not specified

## Literature

• GERBER, H.U.: Life Insurance Mathematics. (3rd edition), 1997, Springer, ISBN 354062242X, Chapter 8 to 11
• DICKSON, D., M. HARDY, H. WATERS: Actuarial Mathematics for Life Contingent Risks. International Series on Actuarial Science, 2009, Cambridge University Press, ISBN 9780521118255
• KOLLER, M.: Stochastische Modelle in der Lebensversicherung. (2nd edition), 2010, Springer, ISBN 9783642112515
• KOLLER, M.: Life Insurance Risk Management Essentials. EAA Series, 2011, Springer, ISBN 9783642207204

German