How do I construct a bull spread with call options, and when is it better than buying a naked call?
I'm studying CFA Level I derivatives and learning about option strategies. A bull call spread seems like a popular strategy, but I'm not sure how to construct one and when it makes sense versus just buying a call option outright. Can someone walk through the mechanics and payoff?
A bull call spread is one of the most fundamental and practical option strategies. It's a defined-risk, defined-reward directional bet that's cheaper than buying a naked call.
Construction:
- Buy a call option at strike K_1 (lower strike)
- Sell a call option at strike K_2 (higher strike), same expiration
K_1 < K_2, same underlying, same expiration.
The Economics:
- The long call gives you upside participation
- The short call caps your upside but reduces your cost (you collect premium)
- Net cost = Premium paid for K_1 call - Premium received for K_2 call
Payoff at Expiration:
| Stock Price at Expiry | Payoff | Net Profit |
|---|---|---|
| Below K_1 | $0 | -Net Premium (max loss) |
| Between K_1 and K_2 | S - K_1 | (S - K_1) - Net Premium |
| Above K_2 | K_2 - K_1 | (K_2 - K_1) - Net Premium (max gain) |
Worked Example:
You're moderately bullish on Harmon Biotech, trading at $72.
- Buy 1 $70 call at $5.80
- Sell 1 $80 call at $2.30
- Net debit: $5.80 - $2.30 = $3.50
Key Levels:
- Max loss: $3.50 per share (net premium paid)
- Max gain: ($80 - $70) - $3.50 = $6.50 per share
- Breakeven: $70 + $3.50 = $73.50
- Risk/reward ratio: $3.50 / $6.50 = 0.54 (risking $1 to make $1.86)
Bull Spread vs. Naked Long Call:
| Feature | Naked Long $70 Call | Bull $70/$80 Spread |
|---|---|---|
| Cost | $5.80 | $3.50 |
| Max loss | $5.80 | $3.50 |
| Max gain | Unlimited | $6.50 |
| Breakeven | $75.80 | $73.50 |
| Best when | Strongly bullish | Moderately bullish |
When to Use a Bull Spread:
- You're bullish but have a specific price target (e.g., $80)
- You want to reduce premium cost (important for capital-constrained traders)
- Implied volatility is high (selling the upper call helps offset expensive premiums)
- You're comfortable capping your upside at K_2
Exam Tip: Know the construction (buy lower strike call, sell higher strike call), calculate max gain, max loss, and breakeven. The exam loves presenting the strategy from the payoff perspective and asking for profit at a specific stock price.
Practice option strategies in our CFA Level I derivatives question bank.
Master Level I with our CFA Course
107 lessons · 200+ hours· Expert instruction
Related Questions
What exactly is the Capital Market Expectations (CME) framework and why does it matter for asset allocation?
How do business cycle phases affect asset class return expectations?
Can someone explain the Grinold–Kroner model step by step with numbers?
How do you forecast fixed-income returns using the building-blocks approach?
PPP vs Interest Rate Parity for forecasting exchange rates — when do I use which?
Join the Discussion
Ask questions and get expert answers.