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Neutral Outlook•Interactive Calculator & Guide

Iron Butterfly Calculator & Visualizer

An Iron Butterfly (often called an "Iron Fly") is an aggressive, high-credit neutral strategy. Built by selling an at-the-money straddle and buying out-of-the-money strangle wings to define risk, it collects substantially more upfront cash credit than an iron condor in exchange for narrower break-even thresholds. It delivers explosive returns when an underlying stock consolidates and pins around a key price.

Legs: Sell ATM Call & Sell ATM Put + Buy OTM Call & Buy OTM Put (Wings)
Ideal IV: High Implied Volatility (IV Rank > 60)
Target DTE: 30 to 45 Days to Expiration

Strategy Presets

1-Click Load
Underlying S
$
30.0%
5%50%100%200%
30 Days
1d45d180d365d
4.5%
%
Max Profit$0.00At optimal strike
Max Loss / Risk$0.00Defined risk limit
Risk / Reward1:1.00Payoff efficiency
Net Position Cost$0.00 DebitInitial capital req.
Break-Even (BE)$150.00Zero P&L threshold
Est. Win Rate (POP)
50.0%
Lognormal CDF

Strategy Payoff Diagram

Real-time Expiration P&L (Solid) vs. T+0 Black-Scholes Theoretical Curve (Dashed)

Simulate Time Decay (Target Date):T+0 (Today)
TodayExpiry
Expiration ProfitExpiration LossTheoretical Value (T+t)Break-Even
Underlying Range: $100 - $200

Strategy Legs Builder

Configure strikes, quantities, premiums, and custom IV overrides per leg

ActionTypeStrike ($)ContractsPremium ($)IV (%)DTELeg DeltaManage

Net Portfolio Greeks Analysis

Aggregated Strategy Exposure
Delta (Δ)Directional
0.000
Δ per $1 stock change
Gamma (Γ)Curvature
0.0000
Δ change per $1 stock
Theta (Θ)Time Decay
-$0.00/day
P&L decay per calendar day
Vega (ν)Volatility
$0.00/1% IV
P&L move per 1.0% IV change
Rho (ρ)Rate
$0.00/1% r
P&L move per 1.0% rate change

Price Slice Matrix & Detailed P&L

Show Matrix Table

Iron Butterfly Mathematical Profile

Max Profit Formula
Net Credit Received × 100 shares (Achieved when stock pins exactly at ATM strike)
Max Loss Formula
(Wing Strike Width - Net Credit Received) × 100 shares
Break-Even Threshold
Lower BE = Center Strike - Net Credit | Upper BE = Center Strike + Net Credit

How Iron Butterfly Works (Mechanics & Payoff Thesis)

Understanding the risk-reward dynamics and theoretical profit curve.

01

The trader sells an ATM call and put at the same strike and buys protective wings equidistant from the center strike.

02

Because the center short options are at-the-money, the upfront credit collected is massive (often 40–50% of the wing width).

03

The position reaches maximum profit if the stock closes exactly on the center strike price at expiration.

04

If the stock makes a large move in either direction, the long wings cap the loss strictly at (Wing Width - Credit Collected).

Optimal Strike & Expiration Selection Guide

Quantitative rules to maximize mathematical probability of profit.

Center Short Straddle: Exactly At-the-Money (50 Delta)

Sell both the call and put at the current stock price to capture maximum extrinsic premium.

Protective Wings: $5 to $15 Equidistant OTM

Buy outer call and put wings to define maximum loss and fix margin requirements.

Target Credit Ratio

Target collecting a net credit equal to at least 35% to 45% of the total wing width (e.g. $4.00+ on a $10.00 wide wing).

Iron Butterfly Greeks Exposure Breakdown

How time decay, volatility, and price velocity dictate position sensitivity.

Delta (Δ)Delta Neutral at Entry (~0.00)

ATM call and put balance directional exposure perfectly at trade inception.

Theta (Θ)Extremely Positive (+ +)

Theta decay is exceptionally high at the center strike, accelerating profits rapidly as time passes.

Vega (ν)Extremely Negative (- -)

A collapse in implied volatility causes the heavy ATM short options to deflate rapidly.

Gamma (Γ)High Negative Gamma near Expiration

Risk spikes near the pin price as expiration approaches, making early profit-taking essential.

Case Study Walkthrough

Real-World Trade Example: QQQ (Nasdaq 100 ETF)

Underlying Stock Price: $450.00 | Setup: Sell 450 Call & 450 Put / Buy 460 Call & 440 Put (30 DTE, $10 Wing Width)

Cost / Credit:
$4.50 Net Credit Received ($450 cash collected)
Max Profit:
$450.00 (Occurs if QQQ pins exactly at $450.00 at expiration)
Max Loss:
$550.00 ($10 wing width - $4.50 credit = $5.50 × 100 shares)
Market OutcomeStock at ExpiryNet P&LExplanation
QQQ pins precisely at $450.00 at expiration$450.00+$450.00 (Max Profit, 82% Return on Capital)All options expire worthless except the center straddle which has zero intrinsic value. Full credit is retained.
QQQ moves slightly to $452.00 at expiration$452.00+$250.00 ProfitThe 450 call is $2 ITM ($200 cost to close). Retained profit = $450 credit - $200 = $250.
QQQ surges to $470 on tech breakout$470.00-$550.00 (Max Capped Loss)The 460 long call caps the total loss at $1,000. Offsetting the $450 credit, the loss is exactly $550.

Trade Management & Early Exit Rules

Institutional risk protocols to protect capital and optimize long-term win rates.

1

Take Profit at 25% to 35% of Max Profit: Because hitting an exact pin is statistically rare, taking early profits when theta and vega decay align generates high long-term win rates.

2

Close at 14–21 DTE: Never hold an Iron Butterfly into expiration week to avoid extreme gamma risk and pin risk.

3

Adjust Untested Wings: If the stock moves toward one wing, roll the opposite side closer to harvest additional credit.

Iron Butterfly Frequently Asked Questions

Key answers to common questions about calculating and executing this strategy.

What is the difference between an Iron Butterfly and an Iron Condor?

An Iron Butterfly sells at-the-money options at the same strike, collecting a much larger credit with narrower break-evens. An Iron Condor sells out-of-the-money options at different strikes, collecting less credit but providing wider break-even boundaries.

What is pin risk on an Iron Butterfly?

Pin risk occurs when the underlying stock closes right at your short strike at expiration, creating uncertainty about whether your short contract will be assigned while your protective wings expire worthless.

How do you calculate max profit and loss on an Iron Butterfly?

Max Profit = Net Credit Received × 100. Max Loss = (Wing Width - Net Credit Received) × 100.

When is the best time to enter an Iron Butterfly?

The ideal entry is when implied volatility is exceptionally high (IV Rank > 50–70) and you expect the stock to trade in a tight range or pin around a major support/resistance level.

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