105.601 Life and health 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.

2022W, VO, 4.0h, 6.0EC
TUWEL

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

Mode of examination

Oral

Lecturers

Institute

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

Examination modalities

oral exam

Course registration

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

Registration modalities

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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

Preceding courses

Accompanying courses

Continuative courses

Language

German