This course provides a rigorous introduction to modern pricing theory in finance, focusing on the valuation of derivatives and the mathematical foundations of asset pricing. Starting from discrete-time models and moving to random walks, the course develops the principle of no-arbitrage and builds toward continuous-time models, culminating in the Black–Scholes framework. Students will learn how financial assets and derivatives are priced using replication, risk-neutral valuation, and stochastic modeling, with applications to equity derivatives, bonds, and interest rate products. The course also covers volatility modeling, highlighting both constant and stochastic volatility frameworks. Emphasis is placed on connecting economic intuition (no-arbitrage, hedging) with mathematical tools (probability, stochastic processes, differential equations), enabling students to understand both the theory and its practical implementation in financial markets.
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Career Level
Mid Level