Black-Scholes Pricing Limitations

The Black-Scholes model is a foundational formula for calculating the theoretical price of European-style options, but it has significant limitations in real-world applications. The model assumes constant volatility, continuous trading, and a normal distribution of returns, none of which fully describe the reality of financial markets.

In cryptocurrency, where price action is characterized by fat tails, jumps, and periods of extreme volatility, the Black-Scholes model often underprices the risk of extreme outcomes. This leads to the requirement for implied volatility adjustments and the use of more complex models to account for the smile and skew observed in the market.

The model also fails to account for transaction costs, liquidity constraints, and the impact of large orders on the price. While it remains a useful starting point for valuation, professional traders must augment it with more robust analytical tools.

These limitations highlight the necessity of understanding the difference between theoretical pricing and market-driven pricing.