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gateway/knowledge/trading/strategies/options/bull-call-spread.md

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+---
+description: "A bullish vertical spread buying a near-ATM call at K1 and selling an OTM call at K2 > K1 for a net debit, capping both profit and loss."
+tags: [options, speculation, bullish, vertical-spread]
+---
+
+# Bull Call Spread
+
+**Section**: 2.6 | **Asset Class**: Options | **Type**: Speculation
+
+## Overview
+The bull call spread is a vertical spread consisting of a long position in a close to ATM call option with strike K1, and a short position in an OTM call option with a higher strike K2. This is a net debit trade. The trader's outlook is bullish: the strategy profits if the stock price rises. This is a capital gain strategy.
+
+## Construction
+- Buy 1 call option at strike K1 (near ATM), paying debit D
+- Sell 1 call option at strike K2 (OTM, K2 > K1), same expiry
+
+Net debit: D = premium paid for K1 call - premium received for K2 call
+
+## Payoff Profile
+f_T = (S_T - K1)+ - (S_T - K2)+ - D
+
+- Breakeven: S* = K1 + D
+- Max profit: P_max = K2 - K1 - D  (achieved when S_T >= K2)
+- Max loss: L_max = D  (if S_T <= K1 at expiry)
+
+## Key Conditions / Signals
+- Moderately bullish outlook; expects stock to rise toward or above K2 by expiry
+- Prefer when implied volatility is low (cheaper debit to enter)
+- Lower cost and lower risk than buying a naked call; upside is capped at K2
+
+## Notes
+Both profit and loss are limited. The maximum gain equals the spread width minus the net debit. This strategy is appropriate when the trader has a directional view but wants to reduce the premium outlay compared to a simple long call.