Broken Wing Butterfly Calculator

Calculate profit zones and risk for broken wing butterfly spreads with asymmetric strike spacing and potential credit entry.

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Written by Michael Torres, CFA
Senior Financial Analyst
JW
Fact-checked by Dr. James Wilson, PhD
Options Strategy Researcher
Advanced OptionsFact-Checked

Input Values

$

Current price of the underlying.

$

Lower wing strike (buy 1 put).

$

Body strike (sell 2 puts).

$

Upper wing strike (buy 1 put), wider than lower wing.

$

Positive = credit; negative = debit.

Results

Maximum Profit
$999,999.00
Max Loss (Upside)
$0.00
Max Loss (Downside)
$0.00
Upper Breakeven$0.00
Lower Breakeven$0.00
Results update automatically as you change input values.

What Is a Broken Wing Butterfly?

A broken wing butterfly (BWB) is a modified butterfly spread where the two wings have unequal widths. In a standard butterfly, both wings are equidistant from the body (middle) strike. In a BWB, one wing is wider than the other, creating an asymmetric payoff profile. This modification allows the spread to be entered for a credit (instead of the typical debit for standard butterflies) while introducing directional bias and asymmetric risk.

The broken wing butterfly is popular among advanced options traders because it can be structured to have no risk on one side of the trade. For a put BWB, skipping a strike on the lower wing means there is no risk to the upside if entered for a credit, while the maximum profit occurs at the middle (body) strike. This makes it an attractive strategy for traders with a moderately bullish or neutral outlook who want defined-risk exposure.

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BWB Structure

A put broken wing butterfly: Buy 1 lower put (wide wing), Sell 2 middle puts (body), Buy 1 upper put (narrow wing). The wider lower wing creates the 'break' and shifts risk to one side. When entered for a credit, the trade has no risk on the upside and maximum profit at the body strike.

Broken Wing Butterfly Formulas

Maximum Profit
Max Profit = (Narrow Wing Width + Net Credit) x 100 OR (Narrow Wing Width - Net Debit) x 100
Where:
Narrow Wing Width = Difference between the body strike and the closer wing strike
Net Credit/Debit = Total premium received or paid for the spread
Max Loss (Broken Side)
Max Loss = (Wide Wing Width - Narrow Wing Width - Net Credit) x 100
Where:
Wide Wing Width = Difference between the body strike and the farther wing strike
Put Broken Wing Butterfly
Given
Stock Price
$100.00
Long Lower Put
$95.00
Short Middle Puts (x2)
$100.00
Long Upper Put
$110.00
Net Credit
$0.50
Calculation Steps
  1. 1Narrow wing width = $110 - $100 = $10 (upper wing)
  2. 2Wide wing width = $100 - $95 = $5 (lower wing)
  3. 3Max profit = ($5 + $0.50) x 100 = $550 (at $100 at expiration)
  4. 4Max loss upside = $0 (entered for a credit)
  5. 5Max loss downside = ($10 - $5 - $0.50) x 100 = $450 (below $95)
  6. 6Lower breakeven = $95 - ($550/100) = $89.50
  7. 7Upper breakeven: no risk above $100 (credit entry)
  8. 8Profit zone: $89.50 to $110, max at $100
Result
This put BWB has a max profit of $550 at the $100 body strike, zero upside risk (entered for a credit), and maximum downside loss of $450 below $95. The asymmetric structure provides a favorable risk/reward ratio with a wide profit zone spanning from $89.50 to above $110.

BWB Payoff Scenarios

Broken Wing Butterfly P&L at Expiration
Stock PriceLower WingBody (2x Short)Upper WingTotal P&L
$85+$1,000-$3,000+$2,500+$550 (credit)
$89.50+$550-$2,100+$2,050$0 (breakeven)
$95$0-$1,000+$1,500+$550
$100$0$0+$1,000+$550 (max)
$105$0$0+$500+$550
$110+$0$0$0+$50 (credit only)

Trading the Broken Wing Butterfly

BWB Implementation Guide

1
Choose Direction and Credit Entry
Put BWBs are bullish (profit above body strike). Call BWBs are bearish (profit below body strike). Always aim for a credit entry to eliminate risk on one side.
2
Select the Body Strike Near ATM
Place the body (middle) strike at or slightly above the current stock price for maximum profit potential. This is where the maximum profit occurs at expiration.
3
Skip One Strike on the Risk Side
Instead of equal wing spacing, skip one strike on the side you want protection from. This creates the 'broken' wing and enables credit entry.
4
Verify Credit Entry
Ensure the total spread can be entered for a net credit. If it requires a debit, adjust strikes or look for higher IV underlyings.
5
Manage at 50% of Max Profit
Take profits when the spread reaches 50% of max profit. Do not hold to expiration as pin risk at the body strike can create unwanted assignment complications.
  • BWBs are ideal in moderate IV environments where standard butterflies are too cheap
  • The credit entry feature makes BWBs self-financing: you get paid to take a directional view
  • Risk is concentrated on one side only, making the strategy easier to manage than iron condors
  • BWBs are sensitive to time decay near the body strike, making them excellent Theta trades
  • Pin risk at expiration can cause complex assignment scenarios; close before expiration day
!
Concentrated Downside Risk

While the BWB eliminates risk on one side, the risk on the broken side can be substantial. A $10-wide broken wing with a $5 narrow wing has real loss potential if the stock moves sharply through the wide side. Always know your maximum loss and position size accordingly.

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BWB as a Directional Trade

Many traders use put BWBs as a bullish directional trade that pays them a credit. If the stock rises, you keep the credit with no risk. If it settles at the body strike, you earn maximum profit. The only risk is a sharp downward move through the wide wing, which can be managed with a stop-loss or roll.

Frequently Asked Questions

A broken wing butterfly (BWB) is a modified butterfly spread with unequal wing widths. One wing is wider than the other, creating asymmetric risk and reward. When entered for a net credit, the BWB has zero risk on one side and defined risk on the other. The maximum profit still occurs at the body (middle) strike, just like a standard butterfly, but the payoff profile is tilted to favor one direction.

Sources & References

  • U.S. Securities and Exchange Commission (SEC) - Investor Education
  • Options Clearing Corporation (OCC) - Options Education
  • Chicago Board Options Exchange (CBOE) - Options Strategies
  • Hull, J.C. "Options, Futures, and Other Derivatives" (11th Edition, 2021)

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