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Answer: appreciation of 1.27%.
## Explanation Given: - USD/EUR spot rate (current): 1.1800 (meaning 1 EUR = 1.1800 USD) - USD/EUR expected spot rate in one year: 1.1650 (meaning 1 EUR = 1.1650 USD) - USD/EUR is the amount of USD per one EUR **Step 1: Understand what the exchange rate means** USD/EUR = 1.1800 means 1 EUR = 1.1800 USD **Step 2: Calculate the change in the exchange rate** The exchange rate decreases from 1.1800 to 1.1650. **Step 3: Determine what this means for the dollar relative to the euro** When USD/EUR decreases, it means fewer USD are needed to buy 1 EUR. This means: - EUR is becoming cheaper in terms of USD - USD is becoming more valuable relative to EUR - Therefore, the USD is **appreciating** relative to the EUR **Step 4: Calculate the percentage change** Percentage change = [(New rate - Old rate) / Old rate] × 100% = [(1.1650 - 1.1800) / 1.1800] × 100% = [(-0.0150) / 1.1800] × 100% = -0.012712 × 100% = -1.2712% **Step 5: Interpret the negative sign** The negative sign indicates the USD/EUR rate decreased. Since USD/EUR is the amount of USD per EUR, a decrease means the USD has appreciated relative to the EUR. Therefore, the expected change is an **appreciation of 1.27%**. **Verification**: - Initial: 1 EUR = 1.1800 USD - After 1 year: 1 EUR = 1.1650 USD - To buy 1 EUR, you now need fewer USD (1.1650 vs 1.1800) - This means USD has become stronger/more valuable relative to EUR - The magnitude of appreciation is 1.27%
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An analyst gathers the following information about a currency pair.
| Currency Pair | Spot Rate Expected | Spot Rate in One Year |
|---|---|---|
| USD/EUR | 1.1800 | 1.1650 |
USD/EUR is the amount of USD per one EUR.
The expected change in value of the dollar relative to the euro over the next year is closest to a(n)
A
depreciation of 1.27%.
B
appreciation of 1.27%.
C
appreciation of 1.29%.
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