MA311-6-SP: Mathematics of Portfolios
Department: Mathematical Sciences
Essex credit: 15
ECTS credit: 7.5
Available to Study Abroad / Exchange Students: Yes Full Year Module Available to Study Abroad / Exchange Students for a Single Term: No Pre-requisites: (MA114 OR IA154) AND (MA207 OR EC251)
|Module is taught during the following terms
The module introduces the basic models and mathematical methods underlying modern portfolio management.
- Fixed income securities.
- The term structure of interest rates.
- Markowitz portfolio theory.
- The Capital Asset Pricing Model.
- Factor models and arbitrage pricing theory.
On completion of the module students should be able to:
- formulate financial decision problems mathematically and identify an appropriate method of solution;
- find mean-variance optimal portfolios for small-scale one-period problems;
- appreciate the limitations of the models studied;
- interpret correctly their results from any calculations.
Learning and Teaching Methods
The module runs at 3 hours per week. There are 5 lectures and one class in every fortnight.
In the Summer term 3 revision lectures are given.
100 per cent Exam Mark
Information about coursework deadlines can be found in the "Coursework Information" section of the Current Students, Useful Information Maths web pages: Coursework and Test Information
Exam Duration and Period
2:00 hour exam during Summer Examination period.
Available to Socrates /IP students spending all relevant terms at Essex.
- Recommended Reading:
D.G. Luenberger, Investment Science, Oxford University Press
R. Dobbins, S.F. Witt & J. Fielding, Portfolio Theory and Investment Management, Blackwell
E. J. Elton & M. J. Gruber, Modern Portfolio Theory and Investment Analysis, Wiley
H. M. Markowitz, Portfolio Selection, Wiley
D. Blake, Financial Market Analysis, Wiley