The common stock of the P$.$U$.$T$.$T$.$ Corporation 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 $6$ months. You do not know whether it will go up or down, however. The current price of the stock is $$100$ per share, and the price of a $6-$month call option at an exercise price of $$100$ is $$10.$