4.4. You purchase an Asian option on the same underlying asset. The price of the asset in three, six, nine, twelve, fifteen, and eighteen months is 105, 110, 112, 107, 111, and 115; respectively. Determine the payoff of the following: a) a geometric average price Asian call with strike 106, b) an arithmetic average strike Asian call, c) an arithmetic average price Asian put with strike 120, d) and a geometric average strike Asian put