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
AKB5004 Actuarial Risk Analysis Spring 3 0 3 8
The course opens with the approval of the Department at the beginning of each semester

Basic information

Language of instruction: Tr
Type of course: Must Course
Course Level:
Mode of Delivery: Face to face
Course Coordinator : Dr. Öğr. Üyesi BAHAR KÖSEOĞLU
Course Lecturer(s): Prof. Dr. İRİNİ DİMİTRİYADİS
Course Objectives: The objective of this course is to develop proficiency in the application of models used for insurance losses and show how these models are used to assess insurance premiums. Students will also be able to solve specialised insurance problems and explain the assumptions underlying different statistical models.

Learning Outputs

The students who have succeeded in this course;
Be able to model frequency and severity, model total claims distributions, calculate discrete and continuous time ruin probability and analyse the effect of actuarial decisions on the probability of ruin. The student will also be introduced to the principles of credibility theory and will have an understanding of its areas of use; will know about basic loss reserving methods and apply to different sets of data.

Course Content

Frequency and severity models; compound distributions, calculations of moments, conditional moments, discrete time ruin probability, continuous time ruin probability, Lundberg's inequality, bayesian estimation and credibility; claims reserving for non-life insurance.

Weekly Detailed Course Contents

Week Subject Related Preparation
1) Review of probability. Discrete and continuous random variables and their distributions.
2) Measures of location and dispersion. Expectation and moments. Moment generating functions.
3) Loss Distributions.
4) Conditional distributions, conditional expected value and variance. Methods of creating new distributions. Prior and posterior distributions.
5) Point estimation and method of moments. Maximum likelihood and confidence intervals. Fitting loss distributions.
6) Aggregate loss models, the compound model for aggregate claims.Computing the aggregate loss distribution.
7) The individual and collective risk models.
8) Distribution of the aggregate claim amount. Compound Poisson models, recursive formula, approximations.Introduction to ruin problems.
9) Ruin probability in the short term, factors effecting probability of ruin.Effect of reinsurance.
10) Continuous time ruin models. The Poisson process, Lundberg's inequality and the adjustment coefficient.
11) Introduction to credibiity theory. Classical credibility, full and partial credibility. Aims of credibility models.
12) Credibility theory continued. Bayesian credibility. Bühlmann and Bühlmann and Straub models.
13) Experience rating and bonus malus systems.
14) Review and applications.
15) Final exam.
16) Final exam.

Sources

Course Notes: Hossack, I., Pollard, J,H., Zehnwirth, B., ‘Introductory statistics with applications in general insurance’. Klugman, S., Panjer, H., Willmot, G., (2004) Loss Models, From Data to Decisions,John Wiley and Sons.
References: Daykin, C, Pentikainen, T., Pesonen, M.(1994) Practical Risk Theory for Actuaries, Chapmann and Hall. Werner, G., Modlin, C, Basic Ratemaking, CAS study notes.

Evaluation System

Semester Requirements Number of Activities Level of Contribution
Attendance % 0
Laboratory % 0
Application % 0
Field Work % 0
Special Course Internship (Work Placement) % 0
Quizzes % 0
Homework Assignments 4 % 20
Presentation 1 % 10
Project % 0
Seminar % 0
Midterms 1 % 35
Preliminary Jury % 0
Final 1 % 35
Paper Submission % 0
Jury % 0
Bütünleme % 0
Total % 100
PERCENTAGE OF SEMESTER WORK % 65
PERCENTAGE OF FINAL WORK % 35
Total % 100

ECTS / Workload Table

Activities Number of Activities Duration (Hours) Workload
Course Hours 14 3 42
Laboratory 0 0 0
Application 0 0 0
Special Course Internship (Work Placement) 0 0 0
Field Work 0 0 0
Study Hours Out of Class 14 4 56
Presentations / Seminar 1 16 16
Project 0 0 0
Homework Assignments 4 10 40
Quizzes 0 0 0
Preliminary Jury 0
Midterms 1 20 20
Paper Submission 0
Jury 0
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. 5
2) Will know about risks and ways to manage risk. 4
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.