A stock options delta represents how much the premium of an option will change given a one point move in the underlying stock price. Call options have positive deltas between 0 and 1 (ex. .10, .39, .85, 1.0) and Put options have deltas of -1 to 0.
An options delta is considered to be the sensitivity of the option price relative to an increase or decrease in the underlying stock price.
If the Delta of a long Call option is .75, this means that for every one point move in the underlying stock, the option premium will increase by .75.
Also note that in the money options on less volatile stocks have higher deltas. Conversley out of the money options regarding the same security will have a lower delta.
Understanding the relationship between the option price and the underlying stocks movement will enable investors and traders to implement the appropriate risk management, as well as gauge expected returns from fluctuations in the underlying stock price.