Financial Mathematics
Course No.:1080044 Credit(s): 3
Course Description
Financial Mathematics is a course in the Seventh semester,which is a compulsory course of majors of Mathematics and Finances. It is a course to find out the law of financial behavior, using mathematical tools, such as the mathematical model, theoretical analysis, numerical calculation and other quantitative analysis to study the finance.
By studying Financial Mathematics, students can master the different types of interest (simple interest, discount interest, compound interest), annuities, debt retirement methods, investing in stocks and bonds. Time permitting, more advanced topics will also be covered.
Course Learning Outcomes
The student learning outcomes are what student would be able to know and to do on the completion of this course. In details are:
1. Understand the fundamental concepts and methods of financial mathematics, e.g. conversion of rates, pension calculation, analysis of investment return, etc.
2. Be able to develop some skills in working with the fundamental concepts and theorems.
3. Apply quantitative analysis to deal with financial problems.
Relationship to Other Courses
The prerequisites for this course are Calculus, linear algebra and probability theory and mathematical statistics
Textbook and Reading Lists
Textbook:
Shengwang Meng, Financial Mathematics(3th edition).China Renmin University Press.2011.
Suggested reading lists:
John C. Hull, Options, Futures and Other Derivatives (8th edition). Pearson Education, 2009.
Course Assessment
Activities | Weighting (%) |
Daily Performance and Homework | 30% |
Midterm Exam | 0% |
Final Exam | 70% |
Course Schedule
Week | Topics | Text |
1-2 | Lecture 1 Measurement of interest 1.Accumulation functions and effective rate of interest 2.Simple interest and compound interest 3.Discount function and effective rate of discount 4.nominal rate of interest and nominal rate of discount 5.Force of interest and force of discount | Chapter 1 |
3-4 | Lecture 2 Uniform annuity 1.The concepts of annuity 2.The present value of annuity 3.The future value of annuity | Chapter 2 |
5-6 | Lecture 3 Variable annuity 1. Increasing annuity 2. Decreasing annuity 3. Continuously payable varying annuity 4. Continuously payable continuously increasing annuity | Chapter 3 |
7 | Lecture 4 Yield 1.Cash flow analysis | Chapter 4 |
8 | Lecture 5 Debt repayment 1.Amortization method 2.Sinking fund method | Chapter 5 |
9 | Lecture 6 Bonds and stocks 1.Bond 2.Stock 3.Derivative instrument | Chapter 6 |
10 | Final Exam | |