Summer Semester 2009/10
Actuarial Mathematics MI2203lic
Course content:
1. The future lifetime. The curtate future lifetime. Life tables.
2. Analyticial distributions of the future lifetime. Insurance payable at the end of the year of death.
3. Insurance payable at the moment of death. Insurance payable at the end of the mth part of the year of death.
4. Elementary life annuities. Life annuities with payments made m times a year.
5. Continuously payable life annuities. Commutation functions.
6. Net premiums.
7. Net premium reserves.
8. Multiple decrements. Multiple life insurance.
Learning outcomes: understanding life insurance contracts, ability to calculate the net single premium and net premiums of elementary insurance types
(in Polish) Rodzaj przedmiotu
Course coordinators
Bibliography
a) basic references:
1. B. Błaszczyszyn, T. Rolski, Podstawy matematyki ubezpieczeń na życie, Wydawnictwa Naukowo-Techniczne, Warszawa 2004
2. M. Skałba, Ubezpieczenia na życie, Wydawnictwa Naukowo-Techniczne, Warszawa 2003
3. N. Bowers, H. Gerber, J. Hickman, D. Jones, C. Nesbitt, Actuarial Mathematics (Second Edition), Society of Actuaries, Schaumburg 1997
b) supplementary references:
1. H.U. Gerber, Life insurance mathematics, Springer Verlag, Berlin Heidelberg 1990
2. M.M. Parmenter, Theory of interest and life contingencies, with pension applications: a problem-solving approach, ACTEX Publications, Winsted, Connecticut 1999