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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 PBA's 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 PBA's 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?
Interest payments and bond prices are stated as percentages of par
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