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Gamma is the rate that delta will change based on a $1 change in the stock price. So if delta is the “speed” at which option prices change, you can think of gamma as the “acceleration.” Options with the highest gamma are the most responsive to changes in the price of the underlying stock.

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Suppose for a stock XYZ, currently trading at $47, there is a FEB 50 call option selling for $2 and let's assume it has a delta of 0.4 and a gamma of 0.1 or 10 percent. If the stock price moves up by $1 to $48, then the delta will be adjusted upwards by 10 percent from 0.4 to 0.5.

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The price will increase on the binary option just like the delta would increase closer to expiration. The closer to expiration, the more gamma plays a role with equity options changing delta. Binary options basically function the same way, albeit the changes are reflected and seen only in the price and not also on an equity option’s chain.

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The rate at which the value of Delta will change for a $1 change in the price of a stock is called the gamma. Thus, it can be inferred that options with high gamma will respond faster to changes in the price of the underlying asset. Let us consider that a call option has a Delta of 0.40.

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