Interest Rate Parity (IRP) is a theory in which the interest rate differential between two countries is equal to the differential between the forward exchange rate and the spot exchange rate. IRP is used to determine the forward exchange rate.

Step 1: Check if IRP holds
The formula for IRP is (1 + i domestic) = (1 + i foreign) * (Forward rate / Spot rate)

Substituting the given values into the formula:
(1 + 0.05) = (1 + 0.03) * (1.10 / 1.00)

1.05 = 1.03 * 1.10

1.05 ≠ 1.133

Since the two sides are not equal, IRP does not hold.

Step 2: Set up a covered interest arbitrage
Since IRP does not hold, there is an opportunity for covered interest arbitrage. Here's how you can take advantage of it:

1. Borrow $1,000,000 in the U.S. at an interest rate of 5%.
2. Convert the $1,000,000 into euros at the spot rate of $1.00/€. You now have €1,000,000.
3. Invest the €1,000,000 in Germany at an interest rate of 3%. After one year, you will have €1,000,000 * 1.03 = €1,030,000.
4. Enter into a forward contract to convert €1,030,000 into dollars at the forward rate of $1.10/€ in one year. After one year, you will have €1,030,000 * $1.10/€ = $1,133,000.

Step 3: Calculate the profit
The profit from this arbitrage opportunity is the amount you have after one year minus the amount you owe in the U.S. (including interest).

Profit = $1,133,000 - $1,000,000 * 1.05 = $1,133,000 - $1,050,000 = $83,000

So, your profit from this arbitrage opportunity would be $83,000.

Question

Interest Rate Parity (IRP) is a theory in which the interest rate differential between two countries is equal to the differential between the forward exchange rate and the spot exchange rate. IRP is used to determine the forward exchange rate.

Step 1: Check if IRP holds
The formula for IRP is (1 + i domestic) = (1 + i foreign) * (Forward rate / Spot rate)

Substituting the given values into the formula:
(1 + 0.05) = (1 + 0.03) * (1.10 / 1.00)

1.05 = 1.03 * 1.10

1.05 ≠ 1.133

Since the two sides are not equal, IRP does not hold.

Step 2: Set up a covered interest arbitrage
Since IRP does not hold, there is an opportunity for covered interest arbitrage. Here's how you can take advantage of it:

1. Borrow $1,000,000 in the U.S. at an interest rate of 5%.
2. Convert the $1,000,000 into euros at the spot rate of $1.00/€. You now have €1,000,000.
3. Invest the €1,000,000 in Germany at an interest rate of 3%. After one year, you will have €1,000,000 * 1.03 = €1,030,000.
4. Enter into a forward contract to convert €1,030,000 into dollars at the forward rate of $1.10/€ in one year. After one year, you will have €1,030,000 * $1.10/€ = $1,133,000.

Step 3: Calculate the profit
The profit from this arbitrage opportunity is the amount you have after one year minus the amount you owe in the U.S. (including interest).

Profit = $1,133,000 - $1,000,000 * 1.05 = $1,133,000 - $1,050,000 = $83,000

So, your profit from this arbitrage opportunity would be $83,000.

Knowee AI · Accepted Answer