Information Package / Course Catalogue
The Basics of Financial Mathematics
Course Code: UTIF101
Course Type: Required
Couse Group: First Cycle (Bachelor's Degree)
Education Language: Turkish
Work Placement: N/A
Theory: 3
Prt.: 0
Credit: 3
Lab: 0
ECTS: 4
Objectives of the Course

The aim of the Fundamentals of Financial Mathematics course is to enable students to understand the mathematical methods and techniques used in financial decision-making processes. This course focuses on core topics such as the time value of money, interest calculations, annuities, bond and stock valuation, helping students gain the ability to calculate and compare the value of financial instruments. Additionally, it aims to develop analytical thinking skills through mathematical approaches used in the evaluation of investment projects.

Course Content

This course covers the essential mathematical principles underlying financial operations. It begins with the basic concepts of financial mathematics and the time value of money. Students then explore simple and compound interest calculations, as well as the present and future value of annuities. Topics such as perpetuities, variable annuities, nominal vs. effective interest rates, and cash flow representation on a time axis follow. In the second half of the course, valuation methods for financial instruments such as bonds and stocks are examined. Key investment appraisal methods—including Net Present Value (NPV), Internal Rate of Return (IRR), payback period, and profitability index—are used to evaluate investment projects. The course also addresses the impact of inflation on financial calculations and concludes with a comprehensive review and practical problem-solving session.

Name of Lecturer(s)
Lec. Bülent YILDIZ
Learning Outcomes
1.The fundamental mathematical concepts related to the time value of money and interest calculations are understood and applied.
2.Simple and compound interest calculations are performed correctly and different types of interest rates are compared.
3.Understands asset pricing models and risk transfer methods.
4.The value of financial instruments is calculated using bond and stock valuation methods.
5.Methods such as Net Present Value (NPV) and Internal Rate of Return (IRR) are effectively used in evaluating investment projects.
Recommended or Required Reading
Weekly Detailed Course Contents
Week 1 - Theoretical
Fundamental concepts of financial mathematics and the time value of money
Week 2 - Theoretical
Simple interest calculations and basic formulas
Week 3 - Theoretical
Compound interest calculations and periodic interest types
Week 4 - Theoretical
Present value and future value calculations
Week 5 - Theoretical
Annuities and their relation to financial statements
Week 6 - Theoretical
Perpetuities and increasing-decreasing annuity types
Week 7 - Theoretical
Interest calculation methods, Differences between nominal and effective interest rates
Week 8 - Theoretical
Representation of cash flows on a time axis
Week 9 - Theoretical
Bond valuation methods and yield rate analysis
Week 10 - Theoretical
Stock valuation and dividend discount models
Week 11 - Theoretical
Net Present Value (NPV) and Internal Rate of Return (IRR) methods
Week 12 - Theoretical
Payback period, profitability index, and project comparisons
Week 13 - Theoretical
Impact of inflation, real vs. nominal interest, and purchasing power
Week 14 - Theoretical
General review and applied problem-solving exercises
Assessment Methods and Criteria
Type of AssessmentCountPercent
Midterm Examination1%40
Final Examination1%60
Workload Calculation
ActivitiesCountPreparationTimeTotal Work Load (hours)
Lecture - Theory142370
Midterm Examination115116
Final Examination114115
TOTAL WORKLOAD (hours)101
Contribution of Learning Outcomes to Programme Outcomes
PÇ-1
PÇ-2
PÇ-3
PÇ-4
PÇ-5
PÇ-6
PÇ-7
PÇ-8
PÇ-9
PÇ-10
PÇ-11
PÇ-12
OÇ-1
3
3
3
3
3
5
3
3
3
2
3
4
OÇ-2
2
2
2
3
3
3
2
2
3
5
2
2
OÇ-3
1
2
3
4
4
3
3
3
2
3
3
2
OÇ-4
5
3
5
5
5
5
5
4
4
5
1
2
OÇ-5
3
2
2
3
3
4
3
4
5
5
1
3
Adnan Menderes University - Information Package / Course Catalogue
2026