A
AcadiFi
OT
OptionsBasic_Tyler2026-04-10
cfaLevel IDerivatives

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?

118 upvotes
AcadiFi TeamVerified Expert
AcadiFi Certified Professional

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:

  1. Buy a call option at strike K_1 (lower strike)
  2. 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 ExpiryPayoffNet Profit
Below K_1$0-Net Premium (max loss)
Between K_1 and K_2S - K_1(S - K_1) - Net Premium
Above K_2K_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)
Loading diagram...

Bull Spread vs. Naked Long Call:

FeatureNaked Long $70 CallBull $70/$80 Spread
Cost$5.80$3.50
Max loss$5.80$3.50
Max gainUnlimited$6.50
Breakeven$75.80$73.50
Best whenStrongly bullishModerately 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

#bull-spread#call-spread#option-strategies#vertical-spread