AKB5007 Life Insurance Mathematics IIBahçeşehir UniversityDegree Programs ACTUARIAL SCIENCE (TURKISH, NON-THESIS)General Information For StudentsDiploma SupplementErasmus Policy StatementNational QualificationsBologna Commission
ACTUARIAL SCIENCE (TURKISH, NON-THESIS)
Master TR-NQF-HE: Level 7 QF-EHEA: Second Cycle EQF-LLL: Level 7

Course Introduction and Application Information

Course Code Course Name Semester Theoretical Practical Credit ECTS
AKB5007 Life Insurance Mathematics II Spring 3 0 3 12
This catalog is for information purposes. Course status is determined by the relevant department at the beginning of semester.

Basic information

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 spread sheets.
Course Objectives: To carry premium and reserve calculations for multiple life and multiple decrement life products, to develop stochastic models for life products, to be able to price non-traditional products and carry tests of profitability, calculate gross premiums and gross premium reserves, have a basic idea about pension plans.

Learning Outcomes

The students who have succeeded in this course;
The students who complete the course will have

1. an understanding of life contingency concepts for both multiple lives and multiple decrements,

2. will be able to price non-traditional life products

3. will be able to evaluate profitability of products.

4. will have a basic idea about pension plans and pension annuites.

Course Content

Multiple-life tables, premium calculation of multiple life products, modelling life functions as random variables, non-traditional life products, reversionary annuities and unit linked products, multiple decrement tables, Markov chain models,calculation of reserves and profitability, gross premiums and gross premium reserves, other consumer benefits, basics of pension plans.

Weekly Detailed Course Contents

Week Subject Related Preparation
1) Mortality tables, joint life functions.
2) Define death and survival functions as random variables. Multiple life probabilities and moments.
3) Calculate present value of benefits and present value of premium random variables based on a single decrement on single life models.
4) Calculate present value of benefits and present value of premium random variables based on a single decrement on multiple life models.
5) Types of life and annuity products: eg. reversionary annuities, unit linked products.
6) Pension annuities and alternative withdrawl plans.
7) Reserves, withdrawls, profit testing.
8) Reserves, profit testing for non-traditional insurances.
9) Models that consider expense cash flows; gross premiums and gross premium reserves.
10) Multiple decrement tables. Markov chain models.
11) Evaluation of mean present values using multiple decrement tables.
12) Other consumer benefits.
13) Introduction to pension planning. Basics of public and employer sponsored pension plans.
14) Pension plans cont'd. Personal pension plans.
15) Final exam.
16) Final exam.

Sources

Course Notes / Textbooks: 1. Life Insurance Mathematics, Gerber H.U. Springer, Zürich, 1997

2. Actuarial Mathematics For Life Contingent Risks, Dickson D.C. M.,Hardy M. R., Waters H.R., Cambridge Univ. Press.2009.

3. Actuarial Mathematics. Bowers N.L., Gerber H.U., Hıckman J.C., Jones D.A. ve Nesbıtt,C. J., SOA 1997.

4., "Modern Actuarial Theory and Practice",Booth P. 1997, Chapman & Hall, /CRC
References: Journal articles and working papers.

Evaluation System

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

ECTS / Workload Table

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 1 20 20
Final 1 26 26
Total Workload 200

Contribution of Learning Outcomes to Programme Outcomes

No Effect 1 Lowest 2 Low 3 Average 4 High 5 Highest
           
Program Outcomes Level of Contribution
1) Acquire the quantitative skills to become an actuary. 4
2) Will know about risks and ways to manage risk. 3
3) Will know about financial planning and its role in actuarial management. 3
4) Will be able to design new products and carry profitability tests and scenario analyses. 4
5) Besides gaining competence in theoretical subjects, the graduate will also be aware of practical issues and applications through lecturers and instructors who have market experience. 3
6) Will be able to follow all innovations and carry on research on the particular area. 4
7) Will share information with colleagues and will use it for project development..
8) Will be able to apply and make the necessary adaptation to all new rules and regulations.