The structure

A long butterfly with calls:

All same expiry. Wings are equidistant from body.

Same shape can be built with puts. Or as an iron butterfly = combination of calls and puts. Payoff diagrams are identical.

A worked example

Example

Nifty 25,000 butterfly (call version)

Nifty at ₹25,000. You expect it to land close to 25,000 by monthly expiry.

  • Buy 1 Nifty 24,800 CALL @ ₹300 → −₹7,500
  • Sell 2 Nifty 25,000 CALL @ ₹180 → +₹9,000
  • Buy 1 Nifty 25,200 CALL @ ₹90 → −₹2,250

Net cost: 7,500 − 9,000 + 2,250 = ₹750 debit

Max profit (at 25,000 exactly): spread width × lot − cost = 200 × 25 − 750 = ₹4,250

Max loss: ₹750 (limited to the debit)

Break-evens:

  • Lower: 24,800 + 30 = 24,830
  • Upper: 25,200 − 30 = 25,170

Payoffs at expiry:

Nifty at 25,000 (bullseye): max profit +₹4,250.

Nifty at 25,100: partial profit ~₹2,250.

Nifty at 25,300 or 24,700 (outside wings): max loss ₹750.

Risk/reward: risk ₹750 to make ₹4,250 → ~5.7:1.

The math

Long butterfly formulas

Net cost = (Long lower + Long upper) − 2 × Middle premium

Max profit = (Middle strike − Lower strike) × Lot − Net cost

Max loss = Net cost

Break-evens: Lower BE = Lower strike + Net cost / lot Upper BE = Upper strike − Net cost / lot

When butterflies make sense

When they don’t

Butterfly variations

Broken-wing butterfly: unequal spacing between wings. Can be constructed for a small credit (net premium received). Effectively an OTM directional bet.

Iron butterfly: sell an ATM straddle + buy an OTM strangle. Same payoff shape but built with all four contract types. Wider break-evens usually.

Batman spread: two butterflies at different strikes → looks like Batman’s ears. Bets on two possible landing zones.

Managing a butterfly

Realistic use in India

Butterflies work best on large-cap monthlies with liquid strikes (Nifty, BankNifty). Wing width of 100-300 points typical.

Popular retail play: Nifty ATM butterfly the week before monthly expiry, when theta decay accelerates. Works ~30-40% of the time; that’s fine because the 5.7:1 R/R more than compensates.

💡 Not for beginners

Four legs, thin profits in most cases, requires precision timing. Master vertical spreads (Chapters 6-7) and iron condors (Chapter 10) first.

Try it

Payoff calculator → “Butterfly” preset. Notice the sharp peak at the middle strike — nail that point and you’re rich; miss by 100 points and you lose most of it.