TÜRKÇE
ENGLISH
Information
Course Goal / Objective
to learn the utility theory, individual and collective risk models, ruin theory and premium principle
Course Content
actuaria, risk, utility theory and ruin theory
Course Precondition
Yok
Resources
Notes
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Have knowledge of actuaria and rsik |
| LO02 | Have knowledge about utility theory |
| LO03 | Have knowledge about indiviual and collective risk models |
| LO04 | have knwoledge of ruin theory |
| LO05 | Know premiums |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | - | Explain the essence fundamentals and concepts in the field of Probability, Statistics and Mathematics | |
| PLO02 | - | Emphasize the importance of Statistics in life | |
| PLO03 | - | Define basic principles and concepts in the field of Law and Economics | |
| PLO04 | - | Produce numeric and statistical solutions in order to overcome the problems | |
| PLO05 | - | Use proper methods and techniques to gather and/or to arrange the data | |
| PLO06 | - | Utilize computer systems and softwares | |
| PLO07 | - | Construct the model, solve and interpret the results by using mathematical and statistical tehniques for the problems that include random events | |
| PLO08 | - | Apply the statistical analyze methods | |
| PLO09 | - | Make statistical inference(estimation, hypothesis tests etc.) | |
| PLO10 | - | Generate solutions for the problems in other disciplines by using statistical techniques | |
| PLO11 | - | Discover the visual, database and web programming techniques and posses the ability of writing programme | |
| PLO12 | - | Construct a model and analyze it by using statistical packages | |
| PLO13 | - | Distinguish the difference between the statistical methods | |
| PLO14 | - | Be aware of the interaction between the disciplines related to statistics | |
| PLO15 | - | Make oral and visual presentation for the results of statistical methods | |
| PLO16 | - | Have capability on effective and productive work in a group and individually | |
| PLO17 | - | Professional development in accordance with their interests and abilities, as well as the scientific, cultural, artistic and social fields, constantly improve themselves by identifying training needs | |
| PLO18 | - | Develop scientific and ethical values in the fields of statistics-and scientific data collection |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Definitions of Actuarial risk | ||
| 2 | Utility theory | ||
| 3 | Utility theory and insurance | ||
| 4 | İndividual risk models | ||
| 5 | Application: optimal reinsurance | ||
| 6 | Collective Risk Models, claims | ||
| 7 | Compound distributions, Panjer´s recursion, stop-loss insurance | ||
| 8 | Mid-term exam | ||
| 9 | ruin theory | ||
| 10 | Risk process | ||
| 11 | Exponantial claims, Beekman´s convolution formula | ||
| 12 | Premium Principle and properties of premium principles | ||
| 13 | Premium Principle and properties of premium principles | ||
| 14 | Bonus-malus systems | ||
| 15 | Credibility theory | ||
| 16 | Final Exam | ||
| 17 | Final Exam |
Student Workload - ECTS
| Works | Number | Time (Hour) | Workload (Hour) |
|---|---|---|---|
| Course Related Works | |||
| Class Time (Exam weeks are excluded) | 13 | 3 | 39 |
| Out of Class Study (Preliminary Work, Practice) | 13 | 3 | 39 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 0 | 0 | 0 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 10 | 10 |
| Final Exam | 1 | 20 | 20 |
| Total Workload (Hour) | 108 | ||
| Total Workload / 25 (h) | 4,32 | ||
| ECTS | 5 ECTS | ||