An American option to buy PBA Ltd shares for $8.40 in exactly three months is priced at 46c. The next dividend of 50c will be paid in six months, and PBAs shares are currently trading for $8.55. Interest rates are 10% p.a. compounded quarterly.

i) What are the lower and upper bounds on the price of an American option to sell PBAs shares for $8.40 in three months?

ii) If the price of the put option was 34c, what initial position would produce an arbitrage profit?