AKT702 - NON LIFE INSURANCE MATHEMATICS

Course Name Code Semester Theory
(hours/week)
Application
(hours/week)
Credit ECTS
NON LIFE INSURANCE MATHEMATICS AKT702 2nd Semester 3 0 3 10
PrequisitesNone
Course languageTurkish
Course typeElective 
Mode of DeliveryFace-to-Face 
Learning and teaching strategiesLecture
Discussion
 
Instructor (s)Department Instructors 
Course objectiveAim of this course is to calculate net risk premium by using claim count and claim size distributions and in addition to that calculating gross premium by using principles of premium calculation and depict effects of risk factors and experience rating related with non-life insurance branches on pricing, and teach the reserve pricing techniques most commonly applied. 
Learning outcomes
  1. learn claim count distributions.
  2. learn claim size distributions.
  3. calculate risk premium.
  4. calculate gross premium.
  5. do experience pricing by using credibility theory.
  6. estimate future reserves by using the historical data of non-life insurance branches.
Course ContentInsurance process; utility theory; claim count distributions; claim size distributions; risk premium; principles of premium calculation; credibility theory; non-life reserving methods; poisson processes; no-claim discount; Bonus-Malus method.  
References1. Straub, E., Non-Life Insurance Mathematics, Association of Swiss Actuaries, Zürih, 1988.
2. Hogg, R.V.,Klugman S.A., Loss Distributions, John Wiley &Sons, 1984.
3. Brown, L.B., Gottlieb, L.R., Introduction to Ratemaking and Loss Reserving for Property and Casualty Insurance, Actex Publications, Connecticut, 1993.
4. Klugman S.,A., Panjer, H.H., Willmot, G .E.,Loss Models: From Data to Decisions, John Wiley and Sons, N.Y, 1998.
5. Tse Yiu-Kuen, Nonlife Actuarial Models: Theory, Methods and Evaluation, Cambridge University Press, Cambridge, 2009.
 

Course outline weekly

WeeksTopics
Week 1Insurance process
Week 2Utility theory
Week 3Claim count distributions
Week 4Claim size distributions
Week 5Risk premium
Week 6Principles of premium calculation
Week 7Midterm exam
Week 8Credibility theory I
Week 9Credibility theory II
Week 10Non-life reserving methods I
Week 11Non-life reserving methods II
Week 12Poisson processes
Week 13No-claim discount
Week 14Bonus-Malus method
Week 15Preparation for Final Exam
Week 16Final exam

Assesment methods

Course activitiesNumberPercentage
Attendance00
Laboratory00
Application00
Field activities00
Specific practical training00
Assignments410
Presentation00
Project420
Seminar00
Midterms120
Final exam150
Total100
Percentage of semester activities contributing grade succes950
Percentage of final exam contributing grade succes150
Total100

WORKLOAD AND ECTS CALCULATION

Activities Number Duration (hour) Total Work Load
Course Duration (x14) 14 3 42
Laboratory 0 0 0
Application000
Specific practical training000
Field activities000
Study Hours Out of Class (Preliminary work, reinforcement, ect)12448
Presentation / Seminar Preparation000
Project425100
Homework assignment41040
Midterms (Study duration)13030
Final Exam (Study duration) 14040
Total Workload36112300

Matrix Of The Course Learning Outcomes Versus Program Outcomes

D.9. Key Learning OutcomesContrubition level*
12345
1. Develop new strategies and techniques in modelling actuarial problems and produce solutions specific to a problem.    X
2. Conduct detailed research in a specific subject in actuarial science area.   X 
3. Have the required level of competency in actuarial sciences to be able to make contribution to the actuarial literature.  X  
4. Able to use the knowledge in actuarial sciences in multidisciplinary studies.  X  
5. Arrange events and projects in actuarial sciences . Able to conduct the stages of designing, executing and reporting results of a project. X   
6. Have scientific scepticism.  X  
7. Able to produce scientific publications in the area of actuarial science. X   
8. Able to think analytically.  X  
9. Follow national and international innovations and improvements in the area. X   
10. Follow actuarial literature X   
11. Improve foreign language skills in order to do work and presentation in that language. X    
12. Use information technology in an advanced level. X   
13. Able to work individually and have the ability to decide independently. X   
14. Have the qualifications necessary for a team work and able to be the team leader.  X   
15. Have the consciousness of professional and social responsibility. X   

*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest