AFX4180 - Mathematical finance
6 points, SCA Band 3, 0.125 EFTSL
Undergraduate, Postgraduate Faculty of Business and Economics
Offered
Not offered in 2009
Synopsis
Topics covered will be selected from: Markowitz portfolio theory, CAPM, the inter-temporal CAPM, Black-Scholes stock price and its implications, stochastic integration, stylised facts about stock and stock index returns -- results from econometric and econophysics research, risky asset models which reproduce the stylized facts, option pricing under such models, Itos formula, Ito processes, Ito calculus, accumulation under stochastic rates of interest and other applications in finance, extreme value theory in stock and insurance markets.
Objectives
The learning goals associated with this unit are to:
- explain advanced mathematical treatments of theoretical and analytical concepts in asset pricing and financial engineering
- critically analyse recent advances in mathematical and computational finance including wavelet analysis, artificial neural networks and copulas
- explain asset pricing theories and the use of scholastic processes
- critically evaluate empirical research that applies asset pricing theories
- apply critical thinking, problem solving and presentation skills in individual and/or group activities dealing with mathematical finance.
Assessment
Within semester assessment: 50%
Examination (3 hours): 50%
Contact hours
Two 1.5 hour classes per week
Co-requisites
Students must be enrolled in course 0181 or 0171 to undertake this unit