Understanding the Mathematics Behind Option Pricing

This instructional paper offers a step-by-step breakdown of the Black-Scholes option pricing model. It focuses on explaining the mathematics (stochastic calculus) and the economics (arbitrage-free pricing) that form the backbone of financial options theory. Designed for educational use, it aims to demystify complex derivations and make real options valuation accessible to a broader audience. The paper emphasizes the importance of understanding both the theoretical and practical sides of option pricing​.