Continuous-time models, Brownian motion, stochastic integrals, Ito's lemma. Black-Scholes-Merton market model, arbitrage and market completeness, Black-Scholes PDE, risk-neutral pricing and martingale measures. Greeks and hedging, extensions of Black-Scholes model, implied volatility, American option valuation. Vasicek and Cox-Ingersoll-Ross interest rate models.

Prerequisite(s): A minimum mark of 60% in either Financial Modelling 3520A/B, or Financial Modelling 3613A/B and a minimum mark of 60% in Statistical Sciences 2857A/B.

Extra Information: 3 lecture hours.