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105.325
Life and health insurance mathematics
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2005W, VO, 3.0h, 4.5EC
Properties
Semester hours: 3.0
Credits: 4.5
Type: VO Lecture
Aim of course
Actuarial models for life, disability and health insurance, presentation of established and modern methods, compilation of best-estimate actuarial assumptions, calculation of premiums and actuarial reserves, calculation of the total loss
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 (II) Construction of cohort life tables: methods for estimating mortality probabilities, tests for a trend, Whittaker-Henderson graduation of the raw data, Life table projection, mortality of old ages, confidence interval, selection effects (III) Markovian model for life insurance (discrete time): Examples of life insurance contracts, Markov property, Chapman-Kolmogorov equations, transition matrices, payment streams, prospective reserve, net actuarial reserves, Thiele's differential equation, examples of premium calculations (e.g. survivorship annuity, guaranteed annuities), annuities with payments for periods of less than a year, difference equation for the higher moments of the present value, recursion formula for the distribution function of the present value (IV) Introduction to the mathematics of health insurance
Lecturers
Schmock, Uwe
Institute
E105 Institute of Statistics and Mathematical Methods in Economics
Course dates
Day
Time
Date
Location
Description
Tue
12:30 - 13:45
04.10.2005 - 26.01.2006
FH Hörsaal 2
SCHMOCK
Thu
12:00 - 13:15
06.10.2005 - 26.01.2006
FH Hörsaal 3 - MATH
SCHMOCK
Show single appointments
Life and health insurance mathematics - Single appointments
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1
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Day
Date
Time
Location
Description
Tue
04.10.2005
12:30 - 13:45
FH Hörsaal 2
SCHMOCK
Thu
06.10.2005
12:00 - 13:15
FH Hörsaal 3 - MATH
SCHMOCK
Tue
11.10.2005
12:30 - 13:45
FH Hörsaal 2
SCHMOCK
Thu
13.10.2005
12:00 - 13:15
FH Hörsaal 3 - MATH
SCHMOCK
Tue
18.10.2005
12:30 - 13:45
FH Hörsaal 2
SCHMOCK
Thu
20.10.2005
12:00 - 13:15
FH Hörsaal 3 - MATH
SCHMOCK
Tue
25.10.2005
12:30 - 13:45
FH Hörsaal 2
SCHMOCK
Thu
27.10.2005
12:00 - 13:15
FH Hörsaal 3 - MATH
SCHMOCK
Tue
01.11.2005
12:30 - 13:45
FH Hörsaal 2
SCHMOCK
Thu
03.11.2005
12:00 - 13:15
FH Hörsaal 3 - MATH
SCHMOCK
Tue
08.11.2005
12:30 - 13:45
FH Hörsaal 2
SCHMOCK
Thu
10.11.2005
12:00 - 13:15
FH Hörsaal 3 - MATH
SCHMOCK
Tue
15.11.2005
12:30 - 13:45
FH Hörsaal 2
SCHMOCK
Thu
17.11.2005
12:00 - 13:15
FH Hörsaal 3 - MATH
SCHMOCK
Tue
22.11.2005
12:30 - 13:45
FH Hörsaal 2
SCHMOCK
Thu
24.11.2005
12:00 - 13:15
FH Hörsaal 3 - MATH
SCHMOCK
Tue
29.11.2005
12:30 - 13:45
FH Hörsaal 2
SCHMOCK
Thu
01.12.2005
12:00 - 13:15
FH Hörsaal 3 - MATH
SCHMOCK
Tue
06.12.2005
12:30 - 13:45
FH Hörsaal 2
SCHMOCK
Thu
08.12.2005
12:00 - 13:15
FH Hörsaal 3 - MATH
SCHMOCK
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2
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Examination modalities
oral exam
Course registration
Not necessary
Curricula
Study Code
Obligation
Semester
Precon.
Info
No records found.
Literature
No lecture notes are available.
Preceding courses
105.048 VO Life insurance mathematics
105.044 UE Life insurance mathematics exercises
Accompanying courses
105.260 UE Life and health insurance methematics
Continuative courses
105.046 VU Advanced life insurance mathematics
Language
German