The course provides a thorough grounding in the theory of derivatives pricing and hedging. Both discrete-time and continuous-time models will be covered, including a comprehensive treatment of the Black-Scholes model. A special feature of the course is its emphasis on the modern theory of no-arbitrage pricing using martingale methods. These methods will be applied to the pricing of equity options, forwards, futures and interest rate derivatives. The uses of derivatives in hedging and risk-management will be discussed as well.