Financial Mathematics
Date: 2018-10-15 Views: 43

Financial Mathematics

Course No.:1080044    Credit(s): 3

Course Description

Financial Mathematics is a course in the Seventh semesterwhich 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