The common stock of the Orange Incorporated has been trading in a narrow price range for the past month, and you are convinced it is going to break far out of that range in the next three months. You do not know whether it will go up or down, however. The current price of the stock is $100 per share, and the price of a three-month at-the-money put option on Orange Incorporated is $5.

1. How far would the price of the Orange Incorporated have to move in either direction for you to make a profit on your initial investment?