What you'll unlock:

• 1. Introduction to Financial Derivatives
• 2. Stochastic Calculus: Brownian Motion
• 3. Itô's Lemma and Stochastic Differential Equations
• 4. Derivation of the Black-Scholes PDE
• 5. The Black-Scholes Formula
• 6. The Greeks: Delta, Gamma, Theta, Vega
• 7. Implied Volatility and the Volatility Smile
• 8. Monte Carlo Methods for Option Pricing
• 9. Extensions: American Options and Exotic Derivatives