Discrete Rebalancing Problem

Constraint

The discrete rebalancing problem describes the challenge of maintaining a target portfolio delta in crypto derivatives markets while facing transaction costs and market volatility. Traders must decide when to adjust their hedging positions because continuous rebalancing is economically unfeasible due to exchange fees and wide bid-ask spreads. This optimization process requires selecting specific observation intervals or threshold triggers to minimize total hedging error relative to the theoretical Black-Scholes hedge.