A Box Spread is a four-legged options arbitrage strategy that combines a Bull Call Spread and a Bear Put Spread on the same underlying with the same strikes and expiry, creating a risk-free payoff equal to the difference between the two strike prices regardless of where the underlying closes. Because the final payoff is fixed, the box spread's fair value is the present value of that payoff discounted at the risk-free rate. If the combined cost of constructing the box is less than this fair value, an arbitrage profit exists. Box Spreads are primarily used by institutional traders and market makers. Retail traders should note that transaction costs, taxes, and execution slippage can quickly erode the thin theoretical profit in practice.
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