Long Call Butterfly Calculator

A long call butterfly is a neutral, limited risk strategy built from three call strikes: buy one lower strike call, sell two middle strike calls and buy one higher strike call. It costs a small debit and earns its maximum profit if the stock is exactly at the middle strike at expiration. It is often simply called a call butterfly or a butterfly spread.

NeutralWants falling IVIntermediateLimited profitLimited risk
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How the long call butterfly works

Position legs

Building Long Call Butterfly

Rates, dividends and costs
Long Call Butterfly payoff diagram-$100$0$100$200$300$4007580859095100105110115120125UNDERLYING PRICE AT DATENOW 100.00BE 96.09BE 103.91

Long Call Butterfly at a glance

ConstructionBuy 1 call two strikes below the current price, sell 2 at the money calls, and buy 1 call two strikes above, all in the front month expiration, for a net debit.
OutlookNeutral
Volatility viewWants falling IV
Max profit(Middle strike minus lower strike minus net debit) × 100.
Max lossNet debit × 100.
BreakevenLower breakeven = lower strike plus net debit.
Experience levelIntermediate
Also calledCall butterfly, Butterfly spread

How a long call butterfly works

A long call butterfly joins a bull call spread on the lower two strikes to a bear call spread on the upper two strikes, with both spreads sharing the short middle strike. The two short calls finance most of the cost of the outer long calls, so the debit is small relative to the potential payoff. The wings are equally spaced, which gives the classic symmetric shape, and because each short call is covered by a long call, the risk is fully defined and no naked margin is required.

At expiration, below the lower strike all calls expire worthless and you lose the debit. Between the lower and middle strikes, the long lower call gains one for one, peaking at the middle strike where profit equals the wing width minus the debit. Between the middle and upper strikes, the two short calls lose faster than the lower call gains, so profit falls back. Above the upper strike, gains and losses cancel and you again lose only the debit. The result is a tent centered on the middle strike.

Before expiration the tent is low and wide, and the position shows only small gains even when the stock sits right at the middle strike. The peak sharpens in the final weeks as time decay works on the short calls faster than on the wings, so most of a butterfly's payoff arrives late in its life. A rise in implied volatility generally hurts a centered butterfly because it spreads out the range of likely outcomes, while a drop in volatility pulls value toward the center.

Long Call Butterfly example with real numbers

Long Call Butterfly payoff diagram-$100$0$100$200$300$4007580859095100105110115120125UNDERLYING PRICE AT DATENOW 100.00BE 96.09BE 103.91
Long Call Butterfly payoff diagram: profit and loss at expiration (solid) and today (dashed) for the example below. Yellow dots mark breakevens.

With the stock at $100, implied volatility at 30%, a 4.1% risk free rate and no dividend, you would buy 1 95 call (32 days) at $6.77, sell 2 100 calls (32 days) at $3.73, buy 1 105 call (32 days) at $1.78. That is a net debit of $109. At expiration a maximum profit of $391 and a maximum loss of $109, with breakevens at $96.09 and $103.91. The lognormal chance of profit is 34%.

These are theoretical American option prices from the Bjerksund and Stensland model, not live quotes. Load any ticker in the long call butterfly calculator above to run the same math on real market prices.

When to use a long call butterfly

  • You expect the stock to settle near a specific price by expiration.
  • You want a neutral trade with risk limited to a small debit.
  • Implied volatility is elevated and you expect it to fall or stay flat.
  • You want a cheaper, defined risk alternative to a short straddle.

Max profit, max loss and breakeven

Maximum profit

(Middle strike minus lower strike minus net debit) × 100. It is reached only if the stock closes exactly at the middle strike at expiration, so most trades capture only part of it.

Maximum loss

Net debit × 100. It occurs if the stock closes at or below the lower strike or at or above the upper strike at expiration.

Breakeven

Lower breakeven = lower strike plus net debit. Upper breakeven = upper strike minus net debit.

Long Call Butterfly Greeks

  • Delta: Near zero when the stock is at the middle strike. It is positive below the middle strike and negative above it, so the position profits as the stock moves back toward the center.
  • Gamma: Negative near the middle strike, where the two short calls dominate, and positive near the wings. Short gamma at the center means a sharp move away hurts.
  • Theta: Positive when the stock is near the middle strike, since the short calls decay faster than the wings. Theta turns negative if the stock drifts out toward a wing.
  • Vega: Negative when centered: higher implied volatility widens the range of likely outcomes and lowers the butterfly's value.

See the live numbers for your position in the Greeks tab of the calculator, or explore a single option in the options Greeks calculator.

Early exercise and assignment risk

The two short at the money calls are the legs to watch. If the stock climbs above the middle strike, they move in the money and can be assigned early, most often the day before an ex dividend date when their time value is less than the dividend. Assignment leaves you short 100 or 200 shares, and if it happens just before the ex date you also owe the dividend on those shares. The long calls cover the obligation, so risk stays defined, but you may need to exercise a long call or close the spread.

Pin risk is the main expiration hazard. If the stock closes right at the middle strike, you cannot know whether the short calls will be assigned, yet the long lower call will be exercised automatically and deliver 100 shares. Depending on how many short calls are assigned, you could start the next session long 100 shares, flat, or short 100 shares, exposed to any gap. Because the last bit of butterfly profit is hard to capture anyway, many traders close the whole spread on the final day rather than gamble on assignment.

The calculator's Early exercise risk tab flags short legs that are likely to be assigned. For a single option, use the early exercise calculator or read how early exercise and assignment work.

Pros and cons

Pros

  • Small debit and fully defined risk on both sides.
  • High reward relative to risk if the stock finishes near the middle strike.
  • Benefits from time decay and falling implied volatility while centered.
  • No naked margin, since every short call is covered by a long call.

Cons

  • Narrow profit zone, so the stock must land near a specific price.
  • Maximum profit requires an exact close at the middle strike and is rarely captured in full.
  • Three strikes and four contracts mean more commissions and wider combined quotes.
  • Early assignment of the short calls, especially before dividends, can complicate the position.

How to manage a long call butterfly

  • Enter as a single combination order with a limit on the net debit rather than legging in.
  • Take profits when the spread reaches a meaningful share of its maximum value instead of waiting for a perfect pin.
  • If the stock moves away, roll the whole butterfly toward the new price or close it if little value remains.
  • Close before the final hour of expiration day when the stock is near the middle strike.

Long Call Butterfly FAQ

What is the max profit on a long call butterfly?

The maximum profit on a long call butterfly is the middle strike minus the lower strike minus the net debit, times 100. It occurs only if the stock closes exactly at the middle strike at expiration. Before expiration the position is worth much less than that, even with the stock sitting at the middle.

Is a long call butterfly bullish or bearish?

A long call butterfly centered at the money is neutral: it profits most if the stock stays near the current price. You can make it directional by centering the middle strike above the current price for a bullish target or below it for a bearish one. The calculator lets you shift the strikes and see the new tent.

Call butterfly vs put butterfly: which is better?

With the same strikes and expiration, a call butterfly and a put butterfly have the same expiration payoff, so neither is inherently better. Differences come from pricing, liquidity and American exercise. The call version faces dividend driven early assignment on its short calls, while the put version faces early assignment on deep in the money short puts.

What happens if a short call in a butterfly is assigned early?

If a short call is assigned early, you become short 100 shares, but your long lower strike call still covers that obligation, so your risk remains defined. You can buy the shares back and keep the remaining options, or exercise the lower call to deliver shares. Watch for extra costs such as owing a dividend if the assignment came just before an ex dividend date.

Educational tool, not financial advice. Calculations are theoretical and depend on your inputs; real fills, fees, early assignment and dividends can change results. Options involve risk and are not suitable for every investor.