Variance Optimal Hedging

Algorithm

Variance Optimal Hedging (VOH) represents a dynamic hedging strategy primarily employed in options trading, particularly relevant within the volatile cryptocurrency derivatives space. It aims to minimize hedging costs by continuously adjusting the hedge ratio based on evolving volatility expectations, specifically targeting the variance surface rather than relying on static delta hedging. This approach leverages implied volatility smiles and skews, incorporating higher-order Greeks like vega and volga to account for non-linear relationships between option prices and underlying asset volatility. The core principle involves minimizing the quadratic variation of the hedging error, resulting in a more cost-effective and responsive hedging posture compared to traditional methods.