Lecture 5: Stochastic Processes I | Topics in Mathematics with Applications in Finance | Mathematics | MIT OpenCourseWare
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Lecture 5: Stochastic Processes I | Topics in Mathematics with Applications in Finance | Mathematics | MIT OpenCourseWare
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Stochastic processes play a crucial role in finance, particularly in modeling uncertainty and random movements in markets. Some key applications include: 1. Brownian Motion & Geometric Brownian Motion (GBM) Used in: Asset price modeling (e.g., Black-Scholes model for option pricing) Why it matters: Helps model stock prices as continuous random processes with drift and volatility 2. Martingales & Risk-Neutral Pricing Used in: Derivative pricing, risk management Why it matters: Ensures fair pricin
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