How Can a Trader Achieve a Delta-Neutral Position Using Only Options?

A trader can achieve a Delta-neutral position using only options by combining long and short positions in options with different Deltas, such that the sum of the Deltas of all positions is zero. For example, buying a certain number of ATM calls (Delta near 0.50) and selling a corresponding number of OTM calls (Delta near 0.20) can create a net Delta of zero.

This is a common practice in strategies like butterfly spreads.

What Are the Advantages and Disadvantages of Using a Constant Sum Formula versus a Constant Product Formula in an AMM?
How Does a Constant Sum Market Maker (X+y=k) Differ from a Constant Product AMM?
How Does a “Zero-Cost Collar” Strategy Work?
How Does the “Delta” of an Option Relate to Its Effectiveness as a Hedge?
How Does a Trader Achieve a ‘Synthetic’ Long or Short Position Using Delta?
Define the Term ‘Delta of a Portfolio’
How Does the Concept of ‘Zero-Sum Game’ Apply to Futures Liquidation?
How Does the ‘Constant Sum’ Formula Differ from the ‘Constant Product’ Formula in AMMs?

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