MAT3265 Financial Mathematics

At the end of the module, the learner should be able to explain confidently basic concepts used in financial mathematics, to simulate the prices of financial products (fixed income products and derivatives) using available IT software (R, Python). The contents of this module to include arbitrage theory, pricing derivatives, martingales and martingale representations, differentiation in stochastic environments, the Wiener process, Levy processes and rare events in financial markets, Integration in stochastic environments and Ito's formula and its usage in financial mathematics.