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Sun Bank USA has purchased a 16 million one-year Australian dollar loan that pays 12 percent interest annually. The spot rate of U.S. dollars for Australian dollars (AUD/USD) is $0.715/ A$1. It has funded this loan by accepting a British pound (BP)- denominated deposit for the equivalent amount and maturity at an annual rate of 10 percent. The current spot rate of U.S. dollars for British pounds (GBP/USD) is $1.55/£1. (LG 9-5)
a. What is the net interest income earned in dollars on this one-year transaction if the spot rate of U.S. dollars for Australian dollars and U.S. dollars for BPs at the end of the year are $0.715/A$1 and $1.520/£1, respectively?
b. What should the spot rate of U.S. dollars for BPs be at the end of the year in order for the bank to earn a net interest income of $200,000 (disregarding any change in principal values)?
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