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The following rates currently exist: Spot exchange rate: $1.000/euro. Annual interest

Paper help business-economics The following rates currently exist: Spot exchange rate: $1.000/euro. Annual interest

business-economics

The following rates currently exist: Spot exchange rate: $1.000/euro. Annual interest

Question
The following rates currently exist: Spot $1.000/euro.
Annual interest rate on 180-day euro-denominated bonds: 3%.
Annual interest rate on 180-day U.S. dollar-denominated bonds: 4%.
Investors currently expect the spot to be about $1.005/euro in
180 days.
a. Show that uncovered interest parity holds (approximately) at these rates.
b. What is likely to be the effect on the spot if the interest rate on 180-day dollar-denominated bonds declines to 3 percent? If the euro interest rate and the expected future spot rate are unchanged, and if uncovered interest parity is reestablished, what will the new current spot be? Has the dollar appreciated or depreciated?
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