Suppose that you initiated a short position in stock X, selling when the market price was $75 per share. The stock price has fallen to $69 per share.
a. find out your current profit, and your maximum possible gain and loss
b. Now assume that you buy a put option to protect your position. Your put has a strike price of $69 per share, maturity of 6 months, and the per share premium is $2.95. What is your maximum possible gain and loss with the protective put?