Not available in 2019/20
MA418 Half Unit
Preferences, Optimal Portfolio Choice, and Equilibrium
This information is for the 2019/20 session.
Teacher responsible
Dr Albina Danilova
Availability
This course is available on the MSc in Applicable Mathematics and MSc in Financial Mathematics. This course is available with permission as an outside option to students on other programmes where regulations permit.
Pre-requisites
Students must have completed either Stochastic Processes (ST409) or Probability and Measure (MA411) or The Mathematics of the Black and Scholes Theory (MA415).
Course content
This course is concerned with the theory of optimal investment and consumption. The course starts with the derivation of utility functions from the axioms of an agent's preferences. Utility functions are then used as a measure of portfolio performance in a financial market. Optimal investment and consumption strategies are obtained for various utility functions in both complete and some types of incomplete markets. Equilibrium and asset price formation are considered in the context of complete and informationally incomplete markets
Teaching
20 hours of lectures and 10 hours of seminars in the LT.
Indicative reading
R.A.Dana and M.Jeanblanc, Financial Markets in Continuous Time; Springer; I D.Duffie, Dynamic Asset Pricing, Princeton University Press; I.Karatzas and S.E.Shreve, Methods of Mathematical Finance, Springer.
Assessment
Exam (100%, duration: 3 hours) in the summer exam period.
Key facts
Department: Mathematics
Total students 2018/19: 1
Average class size 2018/19: 1
Controlled access 2018/19: No
Value: Half Unit
Personal development skills
- Self-management
- Problem solving
- Application of information skills
- Communication
- Application of numeracy skills
- Specialist skills
