6 points, SCA Band 2, 0.125 EFTSL
Postgraduate - Unit
Refer to the specific census and withdrawal dates for the semester(s) in which this unit is offered.
Faculty
Organisational Unit
School of Mathematical Sciences
Coordinator(s)
Unit guides
Synopsis
Introduction to options. The binomial model. The Black-Scholes model. Partial differential equations. Black-Scholes formulae. American options. Exotic options.
Basic concepts of risk management. Multivariate models. Copulas and dependence. Aggregate risk. Extreme value theory. Credit risk models and insurance analytics.
Outcomes
On completion of this unit students will be able to:
- Develop specialised mathematical knowledge and skills within the fields of partial differential equations and probability theory.
- Understand the complex connections between specialised financial and mathematical concepts.
- Apply critical thinking to problems in partial differential equations that relate to financial derivatives.
- Apply critical thinking to problems in probability theory that relate to risk management.
- Apply problem solving skills within the finance context.
- Formulate expert solutions to practical financial problems using specialised cognitive and technical skills within the fields of partial differential equations and probability theory.
- Communicate complex information in an accessible format to a non-mathematical audience.
Assessment
Examination (3 hours): 60% (Hurdle)
Continuous assessment: 40%
Hurdle requirement: To pass this unit a student must achieve at least 50% overall and at least 40% for the end-of-semester exam.
Workload requirements
Two 2-hour lectures per week
See also Unit timetable information
Chief examiner(s)
Prerequisites
Co-requisites
Only students enrolled in the Master of Financial Mathematics can enrol in this unit. Exceptions can be made with permission from the unit co-ordinator.