BINOMIAL OPTION PRICING

Summary

The Binomial Option Pricing model is a mathematical framework used to calculate the fair value of options by modeling price movements as a series of up or down moves over multiple time periods. Think of it as creating a 'tree' of possible stock price paths, where at each branch the stock can either go up or down by predetermined amounts. This method breaks down the option's life into discrete time intervals and works backward from expiration to determine the option's current value, making it easier to understand than continuous-time models.

Usage Context

Essential when learning option valuation methods, understanding the foundation of derivative pricing, comparing different pricing models, and analyzing options with early exercise features or complex payoff structures.

Common Confusions

• Confusing the risk-neutral probabilities with actual market probabilities
• Not understanding why we work backward from expiration
• Thinking the up and down moves are arbitrary rather than calibrated to volatility
• Mixing up the binomial model with simple probability trees
• Forgetting to discount cash flows back to present value at each step