A delta neutral position has a total portfolio delta of zero. This means the position doesn't profit or lose money if the stock price moves up or down.
If you own:
To make it delta neutral, you'd need to sell another call or buy a put.
Volatility Trades — You're betting on volatility, not direction. Profits come from IV changes or time decay, not stock movement.
Premium Collection — Selling options delta neutral lets you collect premium without directional risk.
Iron Condors — Delta neutral strategies are profitable when the stock goes nowhere, which happens more often than big moves.
As the stock moves, your delta changes (because of gamma). If you were delta neutral at $100 and the stock rises to $102, you're no longer neutral. You have positive delta (short gamma exposure). Successful delta neutral traders rebalance frequently.
Related: Delta, Gamma, Iron Condor, Straddle