Butterfly Spread Greeks: Delta, Gamma, Theta and Vega

Understand how the long wings and two short body options combine into butterfly delta, gamma, theta and vega.

Key idea: Butterfly Greeks change sign around the body and evolve sharply near expiration, so entry values cannot describe the entire trade.

Delta

A butterfly placed above the stock can begin with positive delta as price moves toward the target. Above the body it can become negative delta, because additional upside moves away from the expiration peak.

Gamma

Gamma can be positive outside portions of the structure and negative near the body, especially late in the cycle. This curvature makes delta change rapidly around the strikes.

Theta

Time decay may help near the body as the position converges toward its central intrinsic value, but can hurt outside the profitable region as the debit decays toward zero.

Vega

The two short body options often make the butterfly negative vega near the center, while the net profile can vary elsewhere. Model separate price, time and IV scenarios across all legs.

A practical example

Butterfly spread example

A butterfly below its body begins with positive delta. After the stock crosses the target, delta turns negative, illustrating why its directional exposure is target-seeking rather than permanently bullish.

This simplified example focuses on one structure and selected expiration outcomes. Live option prices also reflect the underlying price, time decay, rates, dividends, liquidity and transaction costs. Greeks are theoretical estimates, not guarantees.

Frequently asked questions

Is butterfly delta neutral?

Only at certain prices and moments.

Is theta always positive?

No. Location relative to the body matters.

Can gamma be negative?

Yes, particularly near the central peak.

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Explore related guides: Implied Volatility and Vega in a Butterfly Spread · Butterfly Spread: 12 Mistakes to Avoid · How to Choose Butterfly Spread Strikes. For a structured sequence, use the free Level 12 – Butterfly Spread course.

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Options involve risk and are not suitable for every investor. This material is educational and is not investment, tax or legal advice. Greeks are theoretical estimates, and contract terms and broker requirements can vary.