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The three-month dollar interest rate in New York is 4% per annum. Alternatively, the three-month euro interest rate in Frankfort is 7% p.a. The current
The three-month dollar interest rate in New York is 4% per annum. Alternatively, the three-month euro interest rate in Frankfort is 7% p.a. The current $/ spot exchange rate is $1.1230/. The euro three-month forward rate is quoted at $1.1246/.
- Show how a U.S. arbitrageur would exploit a possible covered interest arbitrage opportunity with a nominal $46,000,000. Dont start with the formula. Explain in your own words the transactions the arbitrageur would execute and calculate the profit/loss the arbitrager would make or face.
- Use the Interest Rate Parity formula (IRP) to show whether the interest rate parity condition is violated. If violated, at what 3-month forward rate would it hold?
- Use the International Fisher Effect (IFE) to find what should be the expected three-month spot exchange rate of dollars against the euro (If not performing chain calculations, use interest rates up to four decimal places).
- Assume that the real rate of interest in both the euro zone and the U.S. is 1.4% per annum; use the Fisher Effect (FE) to calculate the expected annualized three-month rates of inflation in the euro zone and the U.S. (Expressed as a % p.a. up to four decimal places).
- Use the results in question 4 above and the Relative Purchasing Power Parity (RPPP) formula to estimate the expected three-month spot exchange rate of the dollars against the euro.
- What do you notice about the answers to questions 2,3, and 5? Are they what you expect?
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