Second Semester of Academic Year 2022-2023
MA 373 Financial Engineering II
Syllabus

Pre-requisite: MA 372 (Stochastic Calculus for Finance) or equivalent

Continuous time financial market models, Black-Scholes-Merton model, Black-Scholes-Merton equation and formula, dividend paying assets, forwards and futures, risk-neutral valuation of European, American and Exotic derivative securities, change of numeraire, hedging of contingent claims, Greeks, implied volatility, volatility smile; Options on futures; Incomplete markets, stochastic volatility models, pricing and hedging in incomplete markets; Fixed income markets, bonds and interest rates, pricing of fixed income securities, term structure equation; Short rate models, martingale models for short rate (Vasicek, Cox-Ingersoll-Ross, Dothan, Ho-Lee and Hull-White models), multifactor models; Forward rate models, Heath-Jarrow-Morton framework, pricing and hedging under short rate and forward rate models, swaps, caps and floors; LIBOR and swap market models.

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