Long Butterfly
A cheap, all-call pin bet that pays if price finishes on the middle strike.
Quick answer: A Long Butterfly is a defined-risk neutral strategy of three equally spaced call strikes — buy one lower, sell two middle, buy one higher — for a small debit that pays a large multiple only if the underlying settles at the middle strike.
In simple words
A long butterfly is an inexpensive way to bet the market ends near a particular price. You buy one call below that price, sell two calls at it, and buy one call above it, all the same distance apart. The two you sell pay for most of the two you buy, so the whole thing costs only a small amount. If the market finishes exactly on the middle strike, the position is worth its most and you multiply that small cost several times over. If it finishes far away in either direction, everything cancels out and you lose only the small amount you paid.
Payoff diagram
Profit & loss at expiry — Long Butterfly
Illustrative NIFTY legs, spot 24,000. Every strategy on this site is priced off one arbitrage-consistent option chain, so no two pages imply different option prices. Figures are per unit; one NIFTY lot is 75 units at the time of writing. The dashed line is the position's theoretical value today, before time decay has run.
| Leg | Action | Type | Strike | Premium | Qty |
|---|---|---|---|---|---|
| 1 | Buy | Call | 23,700 | ₹637 | 1 |
| 2 | Sell | Call | 24,000 | ₹437 | 2 |
| 3 | Buy | Call | 24,300 | ₹275 | 1 |
Professional explanation
Built from calls, paid as a debit
This long butterfly uses three call strikes — long 23,700, short two 24,000, long 24,300 — spaced 300 points apart. The two short calls bring in premium that offsets most of the cost of the two long calls, leaving a small net debit of 38 per unit. That debit is the entire risk. Unlike the credit butterflies, nothing is collected up front; the payoff is realised at expiry through the shape of the position, which peaks sharply at the middle strike and falls away symmetrically on both sides.
Where the peak and the cap come from
At the middle strike the lower long call is worth its full 300 points of intrinsic value while the two shorts and the upper long are worthless, giving a peak payoff of 300 − 38 = 262 per unit. Beyond the wings the position is flat: below 23,700 all calls expire worthless and the loss is the 38 debit; above 24,300 the long calls exactly offset the two shorts and the payoff is again a flat 38 loss. The two long calls cap the two shorts on both sides, which is what makes the position defined risk.
The narrow, tall payoff
Breakevens are the lower strike plus the debit and the upper strike minus the debit: 23,700 + 38 = 23,738 and 24,300 − 38 = 24,262. That is a profit band 524 points wide, and the full 262-point payoff exists only at the single centre point. The ratio of maximum profit to maximum loss is 262 to 38, roughly 6.9 to 1, but that reward is earned only if price finishes on the strike, so the attractive ratio reflects a low probability of the full payoff, not a free lunch.
A short-volatility position in a long dress
Although the butterfly is bought for a debit, around the centre it behaves like a short-volatility structure: it is net short the two middle options, so it has negative gamma and negative vega near the peak and gains from time decay as expiry approaches with price near the centre. This is why it is generally opened when implied volatility is elevated and expected to fall — a drop in volatility lifts the position toward its peak value, while a rise flattens the tent and pushes the mark toward the debit.
Construction
- Buy one lower-strike call (here the 23,700 call) as the lower wing.
- Sell two middle-strike calls (the 24,000 calls) to form the body at the target level.
- Buy one higher-strike call (the 24,300 call) as the upper wing, equally spaced from the body.
- Confirm the strikes are equidistant and that the position opened for a small net debit, which is the maximum loss.
Market outlook
A trader may study a long butterfly when the expectation is that the underlying will drift toward and settle near a specific level, and that implied volatility is elevated and likely to ease. It is a low-cost pin bet: it risks little and pays well if price finishes on the middle strike, but that full payoff is a point outcome. The condition that invalidates it is a decisive move away from the target or a rise in volatility that keeps price mobile. Because the cost is small, it is sometimes studied as a defined way to express a precise level view without the credit butterfly's larger margin.
Risk profile
The long butterfly is a defined-risk position: the two long call wings cap the two short body calls on both sides, so the loss cannot exceed the net debit paid. That maximum loss is 38 per unit, or ₹2,850 on one NIFTY lot of 75, and it is reached across most of the settlement range — everywhere except the profit band around the centre. The risk is therefore small in rupees but likely in probability, the inverse of the reward. Before expiry the mark moves with volatility and gamma; there is no undefined tail because the wings bound both sides, and on cash-settled index options there is no assignment risk.
Maximum loss, stated three ways
As a formula: Net debit paid × lot size. Here 38 × 75 = ₹2,850, the most that can be lost, reached anywhere outside the profit band on either side.
Computed from the illustrative legs: ₹38 per unit, i.e. ₹2,850 for one NIFTY lot of 75.
Breakevens: Lower breakeven = lower strike + net debit = 23,700 + 38 = 23,738. Upper breakeven = upper strike − net debit = 24,300 − 38 = 24,262. → 23,738 and 24,262.
Reward profile
The maximum reward is the distance between adjacent strikes minus the debit, times the lot size — (300 − 38) × 75 = 262 × 75 = ₹19,650 — earned only if the underlying settles exactly at the middle strike. Away from the centre the reward tapers along the tent to the breakevens at 23,738 and 24,262. The reward is large relative to the small debit but is concentrated at a single point, so the typical outcome is a partial payoff or the small loss rather than the full amount.
Maximum profit
As a formula: (Distance between adjacent strikes − net debit) × lot size, at the middle strike. Here (300 − 38) × 75 = 262 × 75 = ₹19,650, realised only if the underlying settles at 24,000.
Computed from the illustrative legs: ₹262 per unit, i.e. ₹19,650 for one NIFTY lot.
Margin requirement
Because the two short body calls are hedged by two long wings, the exchange grants full spread benefit and the position is typically margined close to the net debit paid rather than as naked shorts. That makes a long butterfly one of the lighter neutral structures to carry. SPAN plus exposure still applies and NSE and brokers revise the formulas periodically; a debit butterfly rarely sees its margin rise materially because both tails are capped.
Greeks exposure
Delta is close to neutral with price at the middle strike because the position is balanced there; it tilts positive below the centre and negative above it as the short body calls dominate.
Gamma is close to neutral at the middle strike, where the short body and long wings nearly offset, and turns negative as price moves off the peak — the position is net short the body near the centre.
Theta is positive when price is near the middle strike: as a net seller of the body, the position gains value as time passes and the tent sharpens toward its peak.
Vega is negative around the centre because the two short body options outweigh the wings in volatility sensitivity, so falling implied volatility lifts the position toward its peak.
Rho is negligible for this monthly index butterfly; interest rates do not meaningfully drive the position.
The sign on each Greek above is computed, not asserted: it is the net exposure of the illustrative legs at spot 24,000 with 30 days to expiry, priced with Black–Scholes using each leg's implied volatility calibrated from its own quoted premium. A sign can flip as the underlying moves — the panels below show where. See Methodology.
Net Greeks across underlying prices
Each panel shows the whole position's net Greek, not one leg's. The dashed vertical is the reference spot.
Volatility impact
Near the centre the long butterfly behaves as a short-volatility position despite being a debit trade, because it is net short the two body options. A fall in implied volatility lifts it toward its peak value, since the shorts lose value faster than the wings; a rise flattens the tent and marks it toward the debit. That is why it is generally opened when implied volatility is elevated and expected to ease. Far from the centre the sensitivity reverses slightly as the wings gain relative weight, but the dominant regime for a butterfly held near its target is falling volatility helping and rising volatility hurting.
Sensitivity to implied volatility
Position P&L with the underlying pinned at spot and 30 days to expiry, as implied volatility alone moves. This isolates vega from delta.
Time decay
Time decay works for the long butterfly when price sits near the middle strike. As a net seller of the two body calls, the position gains value as their time premium erodes, and the tent grows sharper and taller as expiry nears with price near the centre. If price is out near or beyond a breakeven, time decay works against the position instead, bleeding it toward the small debit. The position therefore wants both proximity to the strike and the passage of time, and it is most sensitive to both in the final days.
Value of the position as expiry approaches
Underlying held still at spot; only time passes. An upward slope means time is working for the position, a downward slope means against it.
Practical examples
NIFTY example
Using the 30-day chain: buy the 23,700 call at ₹637, sell two 24,000 calls at ₹437 each (collecting ₹874), and buy the 24,300 call at ₹275. Net debit = (637 + 275) − 874 = 912 − 874 = ₹38 per unit, or 38 × 75 = ₹2,850 for one lot — the maximum loss. Strikes are 300 apart, so the peak payoff is (300 − 38) × 75 = 262 × 75 = ₹19,650 at 24,000. Breakevens are 23,738 and 24,262. If NIFTY settles at 24,000 the position is worth ₹19,650; at 23,700 or below, or 24,300 or above, it loses the ₹2,850 debit; at 24,262 it breaks even before costs. On a debit this small, brokerage, STT and other charges are proportionally significant.
BANKNIFTY example
Illustrative BANKNIFTY premiums, spot near 52,000, lot 30, strikes 400 apart: buy the 51,600 call at ₹560, sell two 52,000 calls at ₹360 each (collecting ₹720), and buy the 52,400 call at ₹200. Net debit = (560 + 200) − 720 = ₹40 per unit, or 40 × 30 = ₹1,200 for one lot — the maximum loss. The peak payoff is (400 − 40) × 30 = 360 × 30 = ₹10,800 at 52,000. Breakevens are 51,640 and 52,360. A settlement at 52,000 pays ₹10,800; a settlement outside the wings loses ₹1,200. Premiums are illustrative and lot sizes are those at the time of writing; small debits are heavily affected by transaction costs.
Lot sizes used above (NIFTY 75, BANKNIFTY 30) are those in force at the time of writing; NSE revises them periodically. Figures exclude brokerage, STT, exchange charges, stamp duty and GST, all of which materially affect small spreads.
Common mistakes
- Expecting the full ₹19,650 as a likely outcome — it exists only at the exact middle strike, and the common result is a partial payoff or the loss of the small debit.
- Placing the butterfly with its centre far from the current price and treating it as cheap, when the low cost simply reflects the low chance of price reaching that centre by expiry.
- Opening it when implied volatility is low and expected to rise, which flattens the tent and works against a position that wants volatility to fall.
- Ignoring transaction costs, which on a 38-point debit and three legs can consume a meaningful share of both the cost and the realised payoff.
- Closing too early on a small favourable move, forgoing the sharp late gain that only materialises as expiry nears with price pinned near the centre.
- Chasing the position wider after price moves, paying fresh spreads to re-centre a structure whose whole appeal was its low cost.
Advantages & disadvantages
Advantages
- The maximum loss is limited to a small net debit, known before entry and reached only in exchange for a large potential payoff at the centre.
- The reward-to-risk ratio at the peak is high — roughly 262 to 38 here — because the body is financed largely by the two short calls.
- Margin is light, close to the debit paid, because both short body calls are hedged by long wings, so the position is inexpensive to carry.
- Both tails are capped by the wings, so there is no undefined risk and no possibility of a loss beyond the debit however far price moves.
- On cash-settled index options there is no assignment risk, so the three-strike structure settles cleanly at the exchange settlement price.
Disadvantages
- The full payoff exists only at a single price, so the high reward-to-risk ratio reflects a low probability, not an edge.
- The position loses the debit across most of the settlement range, so small losses are the common outcome even when the loss is small in size.
- A rise in implied volatility flattens the tent and marks the position down, working against it when the market grows unsettled.
- Three legs mean six fills over the trade's life, and on a small debit the bid-ask spreads and charges are proportionally heavy.
- It needs price both to reach the centre and to stay there into expiry, a demanding joint condition that ordinary movement often defeats.
Professional usage
Desks use butterflies as a compact way to express a pinning view or to hedge the gamma of a larger book near a specific strike, valuing them by the local curvature they add rather than the rupee debit. A market maker may accumulate butterflies around heavy open-interest strikes where hedging flows tend to concentrate price near expiry. Institutions leg the three strikes across the day for better fills and hold many butterflies across levels, so the aggregate expresses the view. Retail traders can replicate the structure cheaply but not the cross-margin, the fill quality or the ability to warehouse it, so the same shape carries different practical costs.
Key takeaway
A long butterfly risks a little to win a lot if the market finishes on one strike, but that full win lives at a single point, so its attractive ratio is the price of a low probability, not a bargain.
Frequently asked questions
What is a long butterfly?
What is the maximum profit on a long butterfly?
What is the maximum loss on a long butterfly?
Where are the breakevens on a long butterfly?
Is a long butterfly the same as an iron butterfly?
Why is a long butterfly so cheap?
Is a long butterfly good for beginners?
Does a long butterfly benefit from time decay?
How does volatility affect a long butterfly?
How much margin does a long butterfly need?
Can I lose more than I paid on a long butterfly?
What happens to a long butterfly at expiry?
Which is better, a long butterfly or an iron condor?
Why did my long butterfly barely gain when price hit the strike early?
How far apart should the strikes be?
Can a long butterfly be built with puts?
Does a long butterfly have assignment risk?
What is the ideal market for a long butterfly?
How is a long butterfly related to a long condor?
What costs affect a long butterfly?
Voice search & related questions
Natural-language questions people ask about the Long Butterfly.
What is a long butterfly?
Which option strategy has limited risk?
Is a long butterfly cheap for a reason?
How much can I lose on a long butterfly?
When should I use a long butterfly instead of an iron butterfly?
Sources & references
- NSE — Options trading and margins
- John C. Hull — Options, Futures, and Other Derivatives
- Sheldon Natenberg — Option Volatility and Pricing
Last reviewed 9 July 2026. Educational content only — not investment advice.