Apple Inc (AAPL)

[ASimEE]

Near money or out-of-the-money tend to increase faster in price because they are a more risky investment which demands a better return.

Once the stock price rises and the near money become in-the-money the option tends to move approximately dollar for dollar with the underlying stock.

In the money options are less volatile than their out-of-the-money counterparts, but you pay more for the option to have that lower risk.