Volatility Smile Anomaly

Context

The volatility smile anomaly, particularly within cryptocurrency derivatives, represents a deviation from the theoretically expected relationship between option strike prices and implied volatilities. Standard options pricing models, like Black-Scholes, assume a constant volatility across all strike prices, resulting in a flat volatility curve. However, empirical observations in crypto markets frequently reveal a skewed or “smiling” curve, where out-of-the-money (OTM) options exhibit higher implied volatilities than at-the-money (ATM) or in-the-money (ITM) options, sometimes forming a pronounced “smirk.” This discrepancy arises from factors unique to crypto, including liquidity fragmentation, regulatory uncertainty, and the potential for extreme price movements.