Bull Call Spread Formula
Break-even equals the long call strike plus net debit. Maximum profit is the spread width minus net debit, and maximum loss is the net debit paid.
Worked Examples
Load these examples to compare capped upside, partial wins, and full-debit losses for bullish call spreads.
TARGET MOVE
How do you estimate a capped bullish trade?
A trader buys 2 $180 calls for $9.20 and sells 2 $195 calls for $3.40 before a planned product event. The stock finishes at $198 at expiration.
- Net debit = $9.20 - $3.40 = $5.80 per share.
- Spread width = $195 - $180 = $15.00.
- At $198, the spread is capped at $15.00 per share.
- Profit = ($15.00 - $5.80) x 100 x 2 = $1,840.
- Break-even = $180 + $5.80 = $185.80.
Result: the bull call spread earns $1,840.00, which is its maximum profit.
Before expiration, the spread can be worth less than max profit even when the stock trades above the short strike.
PARTIAL WIN
What if the stock rises but stops below the short strike?
A trader buys 1 $75 call for $5.10 and sells 1 $85 call for $1.70. The stock finishes at $81.
- Net debit = $5.10 - $1.70 = $3.40 per share.
- Spread value at expiration = max($81 - $75, 0) - max($81 - $85, 0) = $6.00.
- Profit = ($6.00 - $3.40) x 100 = $260.
- Break-even = $75 + $3.40 = $78.40.
Result: the position earns $260.00 because the stock finishes above break-even.
The position has not reached max profit because the stock is still below the short call strike.
FAILED BREAKOUT
What if the bullish move never arrives?
A trader buys 1 $50 call for $4 and sells 1 $60 call for $1. The stock finishes at $49.
- Net debit = $4.00 - $1.00 = $3.00 per share.
- Both calls expire out of the money at $49.
- Spread value at expiration = $0.
- Loss = $3.00 x 100 = $300.
Result: the spread loses the full $300.00 net debit.
This is the defined-risk tradeoff: max loss is known up front, but the whole debit can still be lost.
How It Works
A bull call spread combines a long call at a lower strike with a short call at a higher strike in the same expiration. The short call premium lowers the entry cost, but it also caps the upside once the stock is above the short strike. At expiration, profit equals the value of the long call minus the value owed on the short call, minus the net debit paid.
Example Problem
You buy 1 $100 call for $6 and sell 1 $110 call for $2. The stock finishes at $112 at expiration. What are the profit, break-even price, maximum profit, and maximum loss?
- Identify the inputs: long call strike = $100, long call premium = $6, short call strike = $110, short call premium = $2, stock price = $112, and contracts = 1.
- Compute the net debit per share: $6 - $2 = $4.
- Compute the spread value at expiration: max($112 - $100, 0) - max($112 - $110, 0) = $12 - $2 = $10 per share.
- Subtract the net debit: ($10 - $4) x 100 x 1 = $600 profit.
- Break-even equals long call strike plus net debit: $100 + $4 = $104.
- Maximum profit equals spread width minus net debit: ($10 - $4) x 100 = $600, and maximum loss equals the $400 net debit.
A bull call spread is a defined-risk bullish trade. It benefits from upside through the short strike, then the payoff is capped.
Key Concepts
The long call creates bullish exposure while the short call helps finance the trade. Net debit is the amount paid after the short call premium is credited. Break-even is the lower strike plus the net debit. Maximum loss is the net debit paid, and maximum profit is the distance between strikes minus that debit.
Applications
- Planning a lower-cost bullish trade with defined risk.
- Comparing a vertical spread against buying a single call.
- Estimating whether the upside target is high enough to justify the capped payoff.
- Sizing contracts based on maximum loss and return on risk.
Common Mistakes
- Forgetting that option premiums are quoted per share while equity option contracts usually cover 100 shares.
- Using the short strike as break-even instead of adding net debit to the long strike.
- Entering a credit spread by mistake when the calculator expects a net debit bull call spread.
- Treating expiration payoff as today's mark-to-market value before expiration.
Frequently Asked Questions
What is a bull call spread?
A bull call spread is a bullish vertical spread made by buying a lower-strike call and selling a higher-strike call with the same expiration. The trade has limited risk and limited upside.
How do I calculate bull call spread break-even?
Break-even equals the long call strike plus the net debit paid per share. For example, a $100/$110 call spread opened for a $4 debit breaks even at $104.
What is the maximum profit on a bull call spread?
Maximum profit equals the spread width minus the net debit, multiplied by 100 shares and the number of contracts. It occurs when the stock finishes at or above the short call strike.
What is the maximum loss on a bull call spread?
Maximum loss is the net debit paid for the spread. It occurs when the stock finishes at or below the long call strike at expiration.
Why sell the higher-strike call?
Selling the higher-strike call reduces the entry cost, which lowers break-even and max loss. The tradeoff is that profit is capped above the short strike.
Does this calculator include commissions or early assignment?
No. The calculator models expiration payoff only. Commissions, fees, early assignment, exercise decisions, and changing implied volatility before expiration are not included.
Reference: Options Industry Council, Bull Call Spread strategy description and expiration payoff definitions.
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