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A research project selected from an area of expertise of a member of staff in the Department of Mathematics. It will enable the students to develop an enquiring, analytical critical and creative approach to problem identification and solution. The project will typically focus on a subject area related to one of the taught modules in the MSc scheme.
This module serves as an introduction to the theory of Black-Scholes in continuous time. Special attention is paid to the theory of Ito's integration, stochastic differential equations, Ito's formula and application of the Ito calculus to value the options.
This module serves as an introduction to stochastic calculus for Brownian motion. The module is designed in an intuitive (but rigorous) manner to enable students to grasp the essence of this modern topic. Examples arising from mathematical finance are included.