|
Life tables and
definition of the main life table (commutative) functions. Future
lifetime as a random variable, distributions density functions,
moments etc. Uniform distribution of deaths and constant force of
mortality. Gompertz and Makeham laws of mortality. Other life table
functions. Contrast between deterministic and statistical
(stochastic) approaches. Life table as a population model and
stationary populations. Main types of insurance contract and
standard actuarial symbols. Expected values of payments under
different insurance contracts. Numerical evaluation including life
table functions. Equations of value. The net premium.
|
Main textbooks: |
H. Gerber,
Life Insurance
Mathematics.
With Exercises
Contributed
by Samuel H. Cox,
Springer, 1998.
N. Bowers, H.
Gerber, J. Hickman, D. Jones, C. Nesbitt,
Actuarial Mathematics,
2nd ed. Society of Actuaries, 1997. |
|
Auxiliary
textbooks: |
B. Benjamin, J.
Pollard. The Analysis
of Mortality
and Other
Actuarial
Statistics,
Institute of
Actuaries and Faculty of Actuaries, 1993.
R. Elandt-Johnson,
N. Johnson,
Survival Models
and Data
Analysis,
John Wiley & Sons, 1999. |
|