The model relies on the premise of constant volatility and a normal distribution of asset returns, which fails to account for the heavy tails and frequent jumps observed in cryptocurrency markets. Empirical market data consistently demonstrates that digital assets exhibit skewness and excess kurtosis, rendering the standard normal curve insufficient for accurate risk assessment. Consequently, traders utilizing this framework often underestimate the probability of extreme price movements, leading to mispriced insurance or hedging strategies.
Volatility
Relying on a static volatility input creates a structural failure when applied to crypto assets that frequently experience regime changes and rapid de-leveraging events. Traders must acknowledge that the market often prices in smiles or skews, indicating that implied volatility is not uniform across different strike prices. Ignoring these surface distortions causes significant inaccuracies in delta hedging and portfolio delta management within high-velocity environments.
Liquidity
Financial models built upon the ideal of continuous trading ignore the reality of fragmented order books and sudden liquidity vacuums inherent in decentralized exchanges. During periods of extreme stress, the inability to execute trades at the theoretical price renders the model’s output practically void for risk mitigation purposes. Analysts should instead integrate impact functions that account for slippage and execution costs to reach a more realistic valuation of derivative instruments.
