MAT5025 Mathematical FinanceBahçeşehir 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
MAT5025 Mathematical Finance Fall 3 0 3 8

Basic information

Language of instruction: Turkish
Type of course: Must Course
Course Level:
Mode of Delivery: Face to face
Course Coordinator : Dr. GENCO FAS
Recommended Optional Program Components: None
Course Objectives: The purpose of this course is to give the student a background in the theory of interest, provide an understanding of cashflows and the ability to compare investment decisions. The course material is designed to meet the requirements of national and international exams of actuarial science.

Learning Outcomes

The students who have succeeded in this course;
Students will learn how to apply compound interest theory to find the present value and accumulated value of cashflows, will know about types of annuities certain and will be able to evaluate yield rates and compare investment decisions. This course will also demonstrate how loan repayments can be determined and will treat some special products.

Course Content

Time value of money, simple and compound interest, accumulated value and present value, solution of interest problems, basic and general annuities, yield rates, amortisation tables and loan funds, discounted cashflow, capital redemption policies.

Weekly Detailed Course Contents

Week Subject Related Preparation
1) Measurment of Interest, accumulation and amount functions, effective rate of interest, simple and compound interest, present value, effective rate of discount, nominal rates of interest and discount.
2) Measurment of interest continued; forces of ineterest and discount, solution of problems in interest, equations of value, unknown time, unknown interest.
3) Elementary annuities:annuity immediate, annuity due, annuity values on any date, perpetuities, unknown time, varying interest.
4) General annuities : Annuities payable less frequently than interest is convertible, continuous annuities, unknown time and unknown rate of interest.
5) General Annuities continued: Elementary varying annuities, more general varying annuities, continuous varying annuities.
6) Yield rates: Discounted cash flow, single investment rate, Reinvestmnt rate, investment yields,
7) Yield rates continued: time weighted yields of interest, portfolio methods and investment year method.
8) Tekrar ve problem çözümleri.
9) Amortization schedules and sinking funds: Finding outstanding fund, amortization schedules, sinking funds..
10) Discounted cash flow analysis cont’d: effect of inflation, yield of a fund, measuring investmnt performance.
11) Capital Redemption Policies: Premium Calculation, policy value, p-term payment policies.
12) Capital redemption policies continued: surrender values, paid up policy values and policy alterations,changes in interest rate, reinvestment rate.
13) Discounted cash flow analysis: Net cash flow, net present value and profit, comparison of two investment projects, differing interest in lending and borrowing
14) General review.

Sources

Course Notes / Textbooks: The Theory of Interest, Kellison S.G., Irwin Inc., U.S.A., 1991.


An Introduction to Mathematics of Finance, Cutcheon, J.J. and Scott, W.F., , Butterworth-Heinemann, Oxford, 1996.
References: SOA sınav soruları/SOA exam questions.
http://www.soa.org/education/exam-req/syllabus-study-materials/edu-multiple-choice-exam.aspx

Evaluation System

Semester Requirements Number of Activities Level of Contribution
Attendance 14 % 5
Homework Assignments 3 % 15
Project 1 % 15
Midterms 1 % 30
Final 1 % 35
Total % 100
PERCENTAGE OF SEMESTER WORK % 50
PERCENTAGE OF FINAL WORK % 50
Total % 100

ECTS / Workload Table

Activities Number of Activities Duration (Hours) Workload
Course Hours 14 3 42
Study Hours Out of Class 14 3 42
Project 1 15 15
Homework Assignments 4 10 40
Quizzes 3 6 18
Midterms 1 19 19
Final 1 24 24
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. 4
4) Will be able to design new products and carry profitability tests and scenario analyses. 2
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. 2
6) Will be able to follow all innovations and carry on research on the particular area. 2
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.