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Currency Rates

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 is 0.625. 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 is 1.60.

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 0.588 and 1.848, 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)?

Solution Preview

Please see the attached file:
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 is 0.625. 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 is 1.60.

Loan Purchased= 16,000,000 Australian dollar (Au$)
Spot rate : 1 Au$= $0.625
Therefore, amount of loan purchased in US$= $10,000,000 =16,000,000 x ...

Solution Summary

Calculates net interest income, spot rate.

$2.19