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Having a Delta neutral position means the net value of the deltas of all legs of a given strategy add up to zero. Calls have positive Delta and Puts are negative Delta, the values are reversed for Short positions (so Short puts have positive Delta and Short calls negative Delta).

The Delta of each Leg is multiplied by the number of Options contracts bought or sold. For example:

A Bull Put Spread is composed of:

10 x Short Put at -0.15 Delta is equivalent to 0.15 Delta x 10 = 1.5 Delta.
10 x Long Put at -0.5 Delta is equivalent to .5 Delta x 10 = 0.5 Delta

The strategy (spread) Delta 1.5 - 0.5 = 1.

To make this Delta neutral, the Underlying stock could be sold Short as stocks have a Delta of 1 . Other techniques might include selling calls to reduce Delta, using futures or synthetic Short Stock Options positions.

Delta neutral positions are usually employed a hedging technique to reduce risks from market moves and to lock in profits (e.g. from time decay). Delta neutral strategies also utilised in Gamma scalping trades.
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Contributed by: Ralph Windsor

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Why A Delta Neutral Options Portfolio Is Important

OptionAlpha.com video explaining delta neutrality and why it is important for options portfolios.


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The Myth of Delta Neutral (and Other Greek Tales)
https://tickertape.tdameritrade.com/thinkmoney/2016/07/greek-options-myths-99719

Article explaining the importance of greeks in options trades and advancing the opinion that delta neutrality is unlikely to be of much benefit for retail traders.

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Futures Options: Using a Delta Neutral Trading Strategy
https://www.danielstrading.com/strategies/2010/11/05/futures-options-using-a-delta-neutral-trading-strategy

Daniels Trading article describing the mechanics of delta neutral options trades.

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Video

Why A Delta Neutral Options Portfolio Is Important

OptionAlpha.com video explaining delta neutrality and why it is important for options portfolios.


Understanding and Trading Delta Neutral Strategies

Trade Station video describing delta neutral strategies, including descriptions of the greeks.


Going Delta Neutral

Simpler Trading market commentary video which discusses positioning to be delta neutral ahead of US FOMC interest rate news.