Black-Scholes Model Limitations
The Black-Scholes model is a foundational pricing framework that assumes constant volatility and log-normal price distributions. While it provides a useful baseline, it fails to account for real-world market phenomena like fat tails, volatility clustering, and jumps.
In crypto and equity markets, asset prices often exhibit discontinuous moves that the standard model cannot capture. Furthermore, the assumption of frictionless markets ⎊ no transaction costs or liquidity constraints ⎊ is rarely met in practice.
Traders must apply adjustments like the volatility smile to compensate for these shortcomings. Despite its limitations, the model remains the standard language for communicating option prices.
Advanced practitioners use stochastic volatility models to address these structural weaknesses.