Delta

Let's assume you own a call option on Company XYZ stock. If the price of Company XYZ stock increased by $1.00 and the call option increased by $0.80 in the same time period, then the delta is 0.80 ($0.80/$1.00).

Put options work inversely. Since put options lose value as the underlying security increases, delta is a negative number. If a stock increases $1.00, and the put price decreases $0.50, then the put option has a delta of -0.50. Deltas aren't constant and change according to fluctuations in the underlying stock's price, time left on the derivative until expiration, and volatility in the underlying stock.