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Explanation:
Compute the ending value of each investment and compare it with the cost of funding.
1) U.S. bond investment
2) Brazilian bond investment
Convert $100.0 million to BRL at 3.5 BRL per USD:
Grow at 5%:
Convert back at 3.0 BRL per USD:
3) Total asset value at maturity
4) Repay CDs
5) Net profit and return
So the correct answer is +9.750%.
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Question 501.3. City Bank issued $200.0 million of one-year CDs in the United States at a rate of 3.50%. It invested part of this money, $100.0 million, in the purchase of a one-year bond issued by a U.S. firm at an annual rate of 4.0%. The remaining $100.0 million was invested in a one-year Brazilian government bond paying an annual interest rate of 5.0%. The exchange rate at the time of the transaction was USD/BRL R$3.5000. If the Brazilian real appreciates (against the dollar) from R$3.5000 to R$3.0000, what is the net return on this $200.0 million investment? (Note: variation on Saunders’ Question #10).
A
+3.470%
B
+5.833%
C
+9.750%
D
+12.930%