# 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

2022W, VO, 4.0h, 6.0EC

## Properties

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

## Learning outcomes

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

• Explain the calculation of pensions,
• explain how pension funds work,
• calculate premia and reserves of health insurance,
• explain the theoretical foundations of these calculations,
• explain the construction of life tables based on the Lee Carter method,
• explain Markov models in life insurance,
• describe the differences between classical and unit linked life insurance

## Subject of course

Insurance of several lifes, modification of contracts, profit and contribution formula, profit sharing. Markov model. Introduction to pension insurance: public and private disability insurance, widow's insurance, present values and reserves, methods for financing them. AFRAC recommendation 27, reserves according to the income tax act, calculation of public pensions: pension account, widow pensions, orphan pensions. The annuity table AVÖ2005R. Pension funds. Introduction to health insurance mathematics (according to life insurance mathematics): claims amount per risk and profiles, reserves, expense loading, conversion of a contract. Unit-linked life insurance contracts.

## Teaching methods

Lecture, with black board and projector, partially supported by guest lecturers from insurance companies

Oral

## Course dates

DayTimeDateLocationDescription
Tue10:00 - 12:0004.10.2022 - 24.01.2023FH Hörsaal 3 - MATH 10:15-11:45
Wed09:00 - 11:0005.10.2022 - 25.01.2023FH Hörsaal 3 - MATH 9:30-11:00
Life and health insurance mathematics - Single appointments
DayDateTimeLocationDescription
Tue04.10.202210:00 - 12:00FH Hörsaal 3 - MATH 10:15-11:45
Wed05.10.202209:00 - 11:00FH Hörsaal 3 - MATH 9:30-11:00
Tue11.10.202210:00 - 12:00FH Hörsaal 3 - MATH 10:15-11:45
Wed12.10.202209:00 - 11:00FH Hörsaal 3 - MATH 9:30-11:00
Tue18.10.202210:00 - 12:00FH Hörsaal 3 - MATH 10:15-11:45
Wed19.10.202209:00 - 11:00FH Hörsaal 3 - MATH 9:30-11:00
Tue25.10.202210:00 - 12:00FH Hörsaal 3 - MATH 10:15-11:45
Tue08.11.202210:00 - 12:00FH Hörsaal 3 - MATH 10:15-11:45
Wed09.11.202209:00 - 11:00FH Hörsaal 3 - MATH 9:30-11:00
Wed16.11.202209:00 - 11:00FH Hörsaal 3 - MATH 9:30-11:00
Tue22.11.202210:00 - 12:00FH Hörsaal 3 - MATH 10:15-11:45
Wed23.11.202209:00 - 11:00FH Hörsaal 3 - MATH 9:30-11:00
Tue29.11.202210:00 - 12:00FH Hörsaal 3 - MATH 10:15-11:45
Wed30.11.202209:00 - 11:00FH Hörsaal 3 - MATH 9:30-11:00
Tue06.12.202210:00 - 12:00FH Hörsaal 3 - MATH 10:15-11:45
Tue13.12.202210:00 - 12:00FH Hörsaal 3 - MATH 10:15-11:45
Wed14.12.202209:00 - 11:00FH Hörsaal 3 - MATH 9:30-11:00
Tue10.01.202310:00 - 12:00FH Hörsaal 3 - MATH 10:15-11:45
Wed11.01.202309:00 - 11:00FH Hörsaal 3 - MATH 9:30-11:00
Tue17.01.202310:00 - 12:00FH Hörsaal 3 - MATH 10:15-11:45

oral exam

## Course registration

Begin End Deregistration end
01.09.2022 00:00 01.02.2023 23:59 31.10.2022 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