MA4529 Mathematical Finance

Part I

Course Duration: One semester
Credit Units: 3
Level: B4
Medium of Instruction: English
Prerequisites: MA2506 and MA3521
Precursors: Nil
Equivalent Courses: Nil
Exclusive Courses: Nil

Part II      

Course Aims
This course provides fundamental concepts of probability theory, stochastic processes and option pricing. It helps students understand the mathematical concepts of stochastic processes and apply the knowledge to a range of problems in finance.

Course Intended Learning Outcomes (CILOs)
Upon successful completion of this course, students should be able to:

No.

CILOs

Weighting (if applicable)

1.

explain clearly concepts from advanced probability and  stochastic processes.

2

2.

formulate financial phenomena in terms of Brownian motions and stochastic processes.

2

3.

describe basic principles of quantitative finance, including no arbitrage and risk hedging.

3

4.

apply the Black-Scholes formula in pricing options.

2

5.

apply mathematical methods in deriving analytic relations among financial variables.

2

6.

the combination of CILOs 1-5

2

Teaching and Learning Activities (TLAs)
(Indicative of likely activities and tasks designed to facilitate students’ achievement of the CILOs. Final details will be provided to students in their first week of attendance in this course)

TLAs

CILO No.

Hours/week

Learning through teaching is primarily based on lectures.

1--6

39 hours in total

Learning through take-home assignments helps students understand advanced probability theory, stochastic processes, principles of quantitative finance and simple applications in modeling financial markets.

1--5

         after-class

Assessment Tasks/Activities
(Indicative of likely activities and tasks designed to assess how well the students achieve the CILOs. Final details will be provided to students in their first week of attendance in this course)

30% Coursework
70% Examination (Duration: 3 hours, at the end of the semester)

For a student to pass the course, at least 30% of the maximum mark for the examination must be obtained.

Assessment Tasks/Activities

CILO No.

Weighting (if applicable)

Remarks

Test

1--3

15-30%

Questions are designed for the first part of the course to see how well the students have learned concepts of advanced probability, stochastic processes and mathematical principles of financial economics.

Hand-in assignments

1--5

0-15%

These are skills based assessment to help students understand advanced concepts of probability, stochastic processes and some applications in quantitative finance and option pricing.

Examination

6

70%

Examination questions are designed to see how far students have achieved their intended learning outcomes. Questions will primarily be skills and understanding based to assess the student’s versatility in probability theory, stochastic processes and principles of mathematical finance.

Formative take-home assignments

1--5

0%

The assignments provide students chances to demonstrate their achievements in applying concepts of mathematical finance learned from this course.

Grading of Student Achievement: Refer to Grading of Courses in the Academic Regulations

Part III

Keyword Syllabus
Contracts, vanilla options, exotic options, call-put parity, no arbitrage, risk hedging. Ito lemma, martingale methods, Black-Scholes formulas, interest rate models, interest rate derivatives, American type options.

 

 

 

 

 

 

Related Links
Department of Mathematics