Options Pricing and Financial Derivative Modeling

Understanding how to price complex financial instruments is essential for modern risk management and quantitative finance. This course takes you from foundational definitions to advanced mathematical frameworks, enabling you to calculate option values and understand market dynamics through a quantitative lens. What you'll learn: - Understand the fundamental mechanics of derivatives and their role in risk management - Apply discrete-time binomial tree models to value basic options - Master the principles of Brownian Motion and Ito Calculus for continuous-time modeling - Calculate prices using the Black-Scholes-Merton framework and evaluate its assumptions - Explore stochastic volatility models and modern risk metrics like Expected Shortfall - Practice implementing mathematical models through written exercises and structured examples The curriculum begins with core terminology and moves through progressive mathematical stages, from simple trees to complex stochastic processes used in today's markets. You will progress through written explanations and mathematical derivations that build a solid conceptual foundation for financial engineering. This course is designed for beginners interested in quantitative finance; no prior experience with derivatives is required. Start building your foundation in financial modeling today.