(9) Alternatively you can buy $300 worth of call options with strike price X=$65. According to market rationality each such call should cost $5, but you are lucky enough to find a broker offering them for $4, so you buy 75. (a) If Monday's price goes up to S(t)=$80/gram what are your calls worth? What is your profit? (b) Same questions if the price goes down to S(t)=$50/gram. (c) Using the probabilities you found in (5), what is the Expectation of your profit? (Hint: not the same as in (8c)!)