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Continuous Time Financial Modelling - MATH5816 | ||||||||||||||||||||||||||||||||||||||
Description 1. Black-Scholes model: self-financing strategies, arbitrage opportunities, martingale measures, option pricing formula, % replication of European contingent claims, Black-Scholes PDE, completeness, Black model, currency options.
2. American claims: American call and put option, rational exercise time, early exercise premium representation, optimal boundary. 3. Volatilities: historical volatility, implied volatility, volatility surface, risk-neutral marginal distributions, local volatility model. Note: Course not offered every year - contact School for more information. |