A call option to buy stock is at exercise price of $40. It expires in three months and currently sells for $5 when the price of the stock is $43.

a) What is the intrinsic value of the call? What is the time premium paid for the call?

b) What will the value of this call be after three months if the price of the stock is $34, $40, $47, and $50, respectively?

c) If the price of the stock rises to $65 at the expiration date of the call, what is the percentage increase in the value of the call?

d) If an hedger buys the stock and sells this call, what is the cash outflow and what will the profit on the position be after three months if the price of the stock is $27, $30, $34, $40, $47 and $50, respectively?

e) If an individual sells this call naked, what will the profit or loss be on the position after six months if the price of the stock is $27, $47, and $50, respectively?