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.

Antirequisite(s): The former Statistical Sciences 4521F/G, the former Financial Modelling 4521F/G.

Prerequisite(s): A minimum mark of 60% in either Financial Modelling 3520A/B (or the former Stat Sci 3520A/B), or Financial Modelling 3613A/B (or the former Applied Mathematics 3613A/B) and a minimum mark of 60% in Stat Sci 2857A/B.

Extra Information: 3 lecture hours.