APPLIED MATHEMATICS (TURKISH, THESIS) | |||||
Master | TR-NQF-HE: Level 7 | QF-EHEA: Second Cycle | EQF-LLL: Level 7 |
Course Code | Course Name | Semester | Theoretical | Practical | Credit | ECTS |
AKB5003 | Life Insurance Mathematics I | Fall | 3 | 0 | 3 | 8 |
This catalog is for information purposes. Course status is determined by the relevant department at the beginning of semester. |
Language of instruction: | Turkish |
Type of course: | Departmental Elective |
Course Level: | |
Mode of Delivery: | Face to face |
Course Coordinator : | Dr. Öğr. Üyesi BAHAR KÖSEOĞLU |
Recommended Optional Program Components: | The use of Excel spreadsheets (or the use of R) for the calculations. |
Course Objectives: | The purpose of the course is to equip the student with the mathematical techniques required by life insurance companies and to provide a general understanding of life insurance products and their role in financial life planning. |
The students who have succeeded in this course; Students will gain an understanding of survival models and life insurance products and will be able to make computations for their pricing and reserving. They will grasp the effect of mortality, interest and expense assumptions in the profitability of the company, and will look at the design of special products to meet emerging needs(longevity for example). |
Review of theory of interest, survival models and mortality tables, life annuity and life insurance net premium calculations, gross premiums , reserves and non forfeiture benefits, scenario analyses and profit testing. |
Week | Subject | Related Preparation |
1) | Review of probability, mortality and survival tables. | |
2) | Construction of mortality tables, expected lifetime. | |
3) | Review of theory of interest. Annuities certain,annuities due and immediate,perpetuities. | |
4) | Life contingent payments. Life annuities, whole life, term life and deferred annuities. | |
5) | Increasing benefit annuities, annuities paid more frequently than yearly. | |
6) | Whole life insurance, net premiums for life insurance products. | |
7) | Annual premiums, term insurance, endowment insurance, | |
8) | Deferred insurance,accumulated cost of insurance, increasing benefit insurance, return of premium policy. | |
9) | Reserves, retrospective and prospective reserves. | |
10) | Equivalence of the retrospective and prospective definitions of reserevs.Fackler's Accumulation Formula. | |
11) | Non forfeiture options and benefits. | |
12) | Gross premiums. | |
13) | Mortality, interest and expense gain/loss. Scenario analyses. | |
14) | General review and project presentations. |
Course Notes / Textbooks: | 1.Life contingencies. Neill, A. Heinemann, 1977. 452 pages. ISBN: 0434914401 2.Modern actuarial theory and practice. Booth, P. M.; Chadburn, R. G.; Cooper, D. R. et al. Chapman & Hall, 1999. 716 pages. ISBN: 0849303885 3. The analysis of mortality and other actuarial statistics. Benjamin, B.; Pollard, J. H. 3rd ed. Institute and Faculty of Actuaries, 1993. 519 pages. ISBN: 0901066265 4. Actuarial mathematics. Bowers, N. L.; Gerber, H. U.; Hickman, J. C. et al. 2nd ed. |
References: | 1.Life assurance mathematics, Scott, W.F. Herriot-Watt University 1999. 2.Strategic Financial Planning over the Lifecycle , Narat Charupat, Hieaxiong, Huang, Moshe A. Milevsky, Cambridge U.P, Mach 23,2013. |
Semester Requirements | Number of Activities | Level of Contribution |
Homework Assignments | 4 | % 10 |
Presentation | 1 | % 10 |
Midterms | 1 | % 35 |
Final | 1 | % 45 |
Total | % 100 | |
PERCENTAGE OF SEMESTER WORK | % 55 | |
PERCENTAGE OF FINAL WORK | % 45 | |
Total | % 100 |
Activities | Number of Activities | Duration (Hours) | Workload |
Course Hours | 14 | 3 | 42 |
Study Hours Out of Class | 14 | 4 | 56 |
Presentations / Seminar | 1 | 16 | 16 |
Homework Assignments | 4 | 10 | 40 |
Midterms | 2 | 20 | 40 |
Final | 1 | 26 | 26 |
Total Workload | 220 |
No Effect | 1 Lowest | 2 Low | 3 Average | 4 High | 5 Highest |
Program Outcomes | Level of Contribution | |
1) | Ability to assimilate mathematic related concepts and associate these concepts with each other. | 2 |
2) | Ability to gain qualifications based on basic mathematical skills, problem solving, reasoning, association and generalization. | 2 |
3) | Be able to organize events, for the development of critical and creative thinking and problem solving skills, by using appropriate methods and techniques. | 2 |
4) | Ability to make individual and team work on issues related to working and social life. | 3 |
5) | Ability to transfer ideas and suggestions, related to topics about his/her field of interest, written and verball. | 2 |
6) | Ability to use mathematical knowledge in technology. | |
7) | To apply mathematical principles to real world problems. | 3 |
8) | Ability to use the approaches and knowledge of other disciplines in Mathematics. | 3 |
9) | Be able to set up and develope a solution method for a problem in mathematics independently, be able to solve and evaluate the results and to apply them if necessary. | 2 |
10) | To be able to link abstract thought that one has to concrete events and to transfer the solutions and examine and interpret the results scientifically by forming experiments and collecting data. | |
11) | To be able to conduct a research either as an individual or as a team member, and to be effective in each related step of the project, to take role in the decision process, to plan and manage the project by using time effectively. | |
12) | To be able to acquire necessary information and to make modeling in any field that mathematics is used and to improve herself/himself, |