BOSS

Long Put Butterfly

Description

The put-only equivalent of the long call butterfly: buying one put below, selling two puts at, and buying one put above a target strike.

Setup

  1. Buy one put at a lower strike.
  2. Sell two puts at a middle strike.
  3. Buy one put at a higher strike, evenly spaced from the middle.

Context

Used when the underlying is expected to sit near a specific level through expiry; economically equivalent to the call version, built with puts instead.

Risk Profile

Maximum loss is the small net debit paid, at either extreme. Maximum gain is the width between adjacent strikes minus that debit, at the middle strike.

Pros

  • Very low cost relative to the potential payout.
  • Small, defined maximum loss.
  • High reward-to-risk ratio if the pin plays out.

Cons

  • Needs the underlying to land in a fairly narrow zone.
  • Gains evaporate quickly if the underlying drifts away from the middle strike.

Effect of Time

Time decay generally helps as expiry nears, so long as the underlying stays close to the middle strike.

Effect of Volatility

A rise in implied volatility tends to hurt the position, since it makes a big move away from the middle strike more likely.

Look-Alike Strategies

Live Structure

Live
Index price: $84521.7000
PositionRightRatioStrikeExpiryPremiumFill PriceEst. Fee
Long Put 1 $84000.0000 24 Sep 2026 $76.0839 $92.9915 $9.5105
Short Put 2 $84500.0000 24 Sep 2026 $224.0241 $202.8898 $50.7224
Long Put 1 $85000.0000 24 Sep 2026 $528.3593 $591.7624 $25.3612
Net Cost$156.3950
Delta-0.0225
Gamma-0.0004
Vega-5.3620
Theta63.2816
Rho-0.0210
Breakeven(s) $84156.3950, $84843.6050

Estimated Cost to Assemble

An estimate of what entering this structure right now would really cost: filling every leg by crossing the spread (the ask when buying, the bid when selling) instead of at the mid-price, plus an estimated exchange fee. Real fees and fills can differ from this estimate.

Mid-Price Cost$156.3950
Slippage+$122.5794
Execution Cost$278.9743
Estimated Fees+$85.5942
Total Estimated Cost$364.5685

Payoff & Greeks vs. Underlying Price

The Greeks curves are a Black-Scholes model using each leg's current implied volatility, holding time to expiry fixed -- not live exchange data at every price, which only exists at the current price (dashed line).

Payoff at Expiration

This structure's value and profit/loss at expiration, at a handful of specific prices: every leg's strike, every breakeven, the current spot, and the chart's own range.

Underlying PriceValue at ExpirationProfit / LossReturn on Cost
$83000.0000 $0.0000 -$156.3950 -100.0%
$84000.0000 $0.0000 -$156.3950 -100.0%
$84156.3950 breakeven $156.3950 $0.0000 +0.0%
$84500.0000 $500.0000 $343.6050 +219.7%
$84537.4900 current $462.5100 $306.1150 +195.7%
$84843.6050 breakeven $156.3950 $0.0000 +0.0%
$85000.0000 $0.0000 -$156.3950 -100.0%
$86000.0000 $0.0000 -$156.3950 -100.0%

Delta (model)

Gamma (model)

Vega (model)

Theta (model)

Rho (model)