1 A share is worth 25 today and will move to either 30 or 22 in 6 months. The interest rate is 12% and the strike price is 27. (a) Find the fair price of a call option and of a put option on this share. a [40] (b) Use the Put-Call Parity formula to verify your answers for part (a). [10] = (c) An investor is worried that the price of the share will decline in 6 months and wants to use put options to hedge their potential losses. The investor has 7,500 in shares. They wish to sell some of these shares now and use the money they make from this to buy put options on the remaining shares. (If you didn't complete part (a), you may take P=2.03 for the purposes of this question) (i) How many shares should they sell to do this? [10] (ii) If the share price goes down, how much will they lose by following the above strategy? How much will they lose if they instead decide to hold the shares and the price declines? [10]