SylabUZ
| Course name | Actuarial Methods |
| Course ID | 11.5-WK-MATED-AM-S22 |
| Faculty | Faculty of Exact and Natural Sciences |
| Field of study | Mathematics |
| Education profile | academic |
| Level of studies | Second-cycle studies leading to MS degree |
| Beginning semester | winter term 2022/2023 |
| Semester | 4 |
| ECTS credits to win | 7 |
| Course type | optional |
| Teaching language | english |
| Author of syllabus |
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| The class form | Hours per semester (full-time) | Hours per week (full-time) | Hours per semester (part-time) | Hours per week (part-time) | Form of assignment |
| Lecture | 30 | 2 | - | - | Exam |
| Class | 30 | 2 | - | - | Credit with grade |
Knowledge about selected topics on actuarial and insurance mathematics: mortality models, net premium calculations for different kinds of risk models with applications to real-world problems in actuarial calculations.
Mathematical analysis, probability theory, introduction to financial mathematics, foundations of stochastic analysis
1. Survival functions and probability of survival.
2. Survival tables and their parameters - elements of demographic and insurance statistics.
3. Survival models for incomplete years.
4. Analytical laws of survival.
5. Basic types of life insurance - single net premiums.
6. Types of life annuities - single net premiums.
7. Commutative functions in insurance and life annuity calculus.
8. Net annual premiums and premiums payable in subperiods.
9. Reserves for premiums in endowment and mixed life insurance.
10. Joint life insurance - premium calculation.
11. Multi-option insurance.
12. Unit-Linked insurance.
13. Risk process, insurer's reserve process - Lundberg model.
14. Probability of insurer ruin.
Lectures: actuarial and insurance mathematics: mortality models, net premium calculations, reserves, collective risk model, ruin probability.
Classes: exercises (theoretical and computational)
| Outcome description | Outcome symbols | Methods of verification | The class form |
Evaluation of individual exercises, control works, final exam, and grades
N. Bowers, H.U. Gerber et all, Actuarial Mathematics, Soc. of Actuaries, Illinois, 1986.
J. Grandell, Aspects of Risk Theory, Springer, Berlin,1992.
H.U. Gerber, Life Insurance Mathematics, Springer, 1997
Modified by dr Ewa Synówka (last modification: 29-12-2023 18:03)
