5. Suppose that you sold an American put option P on the underlying stock ABC. You calculated the delta and gamma of the put option and found Ap = -0.4 and Ip= 0.3. Suppose you want a position which is both delta and gamma neutral. Determine the hedge in the following two cases: (a) Use the underlying stock itself and a call option C on the stock (with different strike and maturity as the put), with Ac 0.25 and Io 0.1 (b) Use the underlying stock itself and a call option with the same strike and maturity as the put option. (Answer: Buy one call and short sell a share.)