Black Scholes Limitations

The Black-Scholes model, while foundational, has significant limitations when applied to cryptocurrency and other volatile markets. Its core assumptions ⎊ such as constant volatility, continuous trading, and a normal distribution of returns ⎊ often fail to hold in the real world.

Crypto assets frequently exhibit fat tails, where extreme price movements occur more often than a normal distribution would predict, and volatility is rarely constant. These limitations mean that the model can underprice the risk of large market moves, leading to potential losses for those who rely on it exclusively.

Traders must supplement the model with other techniques, such as adjusting for volatility smiles or using stochastic volatility models, to better capture the realities of the digital asset market and manage risk more effectively.