Option Combinations and Spreads
Any multi-leg option position is read from its legs, and its payoff is the sum of the leg payoffs. A combination mixes calls and puts: a straddle is a call and a put at the same strike, while a strangle uses an out-of-the-money call and put at different strikes, cheaper but needing a larger move. A spread uses options of the same type: a bull call spread is a long call at a lower strike and a short call at a higher strike , which caps both the profit and the loss. The name follows the structure, so a call plus a call is never a straddle.
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A small set of building blocks, long and short calls and puts at chosen strikes, generates every named strategy. Reading a position means reading its legs rather than trusting its label. If someone calls a two-call position a straddle, count the legs. Two calls at different strikes is a vertical spread with a capped payoff, not the V-shaped volatility bet of a straddle. Broadly, combinations bet on the size of a move while spreads take a directional view within a range and pay for it by giving up the tail.
Formulas
Worked examples
A strangle: buy a put at the $45 strike for $1 and a call at the $55 strike for $1.50, a net cost of $2.50. Where does it break even?
It only pays outside the strikes by more than the premium. The lower break-even is $45 minus $2.50, which is $42.50, and the upper break-even is $55 plus $2.50, which is $57.50. Between $45 and $55 both legs expire worthless and the loss is the full $2.50. A strangle is cheaper than the same-strike straddle but needs a bigger move to pay, the wider dead zone being the trade-off.
A bull call spread: long a $50 call for $4 and short a $60 call for $1.50, a net debit of $2.50. What are the maximum profit and loss?
Maximum loss is the net debit, $2.50, if the stock finishes at or below $50. Maximum profit is the strike width minus the debit, $10 minus $2.50, which is $7.50, reached at or above $60. The short $60 call caps the upside, which is the price paid for cutting the cost of the long call. Break-even is $50 plus $2.50, which is $52.50.
Common mistakes
- ✗Any position with two options is a straddle. A straddle is specifically a call and a put at the same strike. Two options of the same type, or at different strikes, form a spread or a strangle with a different payoff shape.
- ✗A strangle and a straddle are the same trade. A strangle uses different, out-of-the-money strikes, so it costs less but needs a larger move to break even, trading a lower cost for a wider dead zone.
- ✗A vertical spread has unlimited profit like a single long option. The short leg caps the profit and the loss. A bull call spread can never earn more than the strike width minus the net premium, however far the stock runs.
- ✗You can price a position from its name. Read it leg by leg. Because the payoff is the sum of the legs, identifying each call, put, strike, and side is what reveals the real risk, not the label.
Revision bullets
- •Payoff of any position sum of its leg payoffs
- •Combination mixes calls and puts; a spread uses one type
- •Straddle uses the same strike; a strangle uses different strikes and is cheaper
- •Bull call spread: long the lower-strike call, short the higher-strike call
- •A vertical spread caps both profit and loss
- •Read a position by its legs, not its label
Quick check
A position of one out-of-the-money call and one out-of-the-money put at different strikes is a:
A bull call spread is long a $50 call and short a $60 call for a net debit of $2.50. Its maximum profit is:
Connected topics
Sources
- Hull, John C. Options, Futures, and Other Derivatives. 11th ed. Pearson, 2022. ISBN 978-0-13-693997-9.Chapter 12, Trading Strategies Involving Options, develops spreads (§12.2) and combinations such as straddles and strangles (§12.3) with payoff diagrams.
- McMillan, Lawrence G. Options as a Strategic Investment. 5th ed. Prentice Hall Press, 2012. ISBN 978-0-7352-0466-2.Practitioner reference cataloguing spreads, strangles, and other multi-leg positions and when each is appropriate.
- Options Industry Council. Strategy Guide: Long Strangle. Options Education, accessed 2026.Industry guide with the strangle payoff and the wider break-even band relative to a same-strike straddle.
- Cboe Global Markets. Spreads and Combinations. Cboe Options Institute, accessed 2026.Educational reference on vertical spreads, including the capped profit and loss of a bull call spread.