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- 2011-7-11
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- 2013-8-21
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Jennifer Nance has recently been hired as an analyst at the Central City Bank in the currency trading department. Nance, who recently graduated with a degree in economics, will be working with other analysts to determine if there are profit opportunities in the foreign exchange market.
Nance has the following data available:
| US Dollar ($) | UK Pound (£) | Euro (€) |
Expected inflation rate | 6.0% | 3.0% | 7.0% |
One-year nominal interest rate | 10.0% | 6.0% | 9.0% |
Market Spot Rates |
| US Dollar ($) | UK Pound (£) | Euro (€) |
US Dollar ($) | $1.0000 | $1.6000 | $0.8000 |
UK Pound (£) | 0.6250 | 1.0000 | 2.0000 |
Euro (€) | 1.2500 | 0.5000 | 1.0000 |
Market 1-year Forward Rates | | US Dollar ($) | UK Pound (£) | Euro (€) | US Dollar ($) | $1.0000 | $1.6400 | $0.8082 | UK Pound (£) | 0.6098 | 1.0000 | 2.0292 | Euro (€) | 1.2373 | 0.4928 | 1.0000 |
Using the same data above, Nance wishes to determine the order of the real interest rate levels implied by the Fisher Effect in the United States, the United Kingdom and Europe. What is the order of real interest rate levels, ranked from highest to lowest? A)
| United States, Europe, United Kingdom. |
| B)
| United Kingdom, United States, Europe. |
| C)
| United States, United Kingdom, Europe. |
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The Fisher Effect implies that the real interest rate is equal to [(1 + nominal interest rate) / (1 + inflation rate)] − 1.
The implied real rates, ranked in order from highest to lowest, are:
United States: [(1.10) / (1.06)] − 1 = 3.8%.
United Kingdom: [(1.06) / (1.03)] − 1 = 2.9%.
Europe: [(1.09) / (1.07)] − 1 = 1.9%.
Using the same data above, Nance determines that the highest estimate of the expected $/£ spot rate in one year is implied by: A)
| purchasing power parity (PPP). |
| B)
| uncovered interest rate parity (IRP). |
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Uncovered IRP: expected 1 − year spot rate = $1.6000(1.10) / (1.06) − 1 = $1.6604.
PPP: expected 1 − year spot rate = $1.6000(1.06) / (1.03) − 1 = $1.6466.
The Fisher effect does not imply a forecast of the expected future spot rate. |
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