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INTERNATIONAL FINANCE ASSIGNMENT 2 _ Answer Key PROBLEM I (30 points) Suppose the quarterly (90-day) interest rate in the US is 2.5% and it is 4% in Canada. If the $/CD spot exchange rate is $0.80/CD and the 90-day forward exchange rate between US and Canadian dollars is $0.79/CD , does the interest rate parity (IRP) hold? Why or why not? If it does not hold, what is the direction of the capital flow?

1.025 0.79  1.04 0.80 0.9856 ≠ 0.9875 IRP does not hold. 2.5< (4-1.25=2.75) Therefore, funds flow from US to Canada.

If an arbitrageur can borrow up to $1,000,000 (or CD1,250,000), formulate a covered interest arbitrage. Make sure to explain your steps in detail (just writing out three random calculations does not count). Determine the amount of arbitrage profit. 1. Borrow $1,000,000 at the US interest rate of 2.5%. Will owe $1,000,000(1.025) = $1,025,000 after 90-days. 2. Sell dollars at the spot exchange rate of $0.80/CD, buy CD1,250,000 (=1,000,000/0.80) 3. Invest the CD 1,250,000 at the Canadian interest rate of 4%. After 90 days, will yield, CD1,250,000(1.04) = CD 1,300,000. 4. Simultaneously with the investment, sell forward the CD1,300,000 at the 90-day forward rate of $0.79/CD to lock in the exchange rate. Will have 1,300,000(0.79) = $1,0.27,000. 5. In 90-days, take the CD1,300,000 from the Canadian investment, deliver for the forward contract, take the $1,027,000 from the forward contract, pay off the US bank loan of $1,025,000. Will be left with an arbitrage profit of $1,027,000-$1,025,000 = $2,000. For interest rate parity (IRP) to hold, what should the correct forward exchange rate be?

1.025 F (0.80) * (1.025)  F  $0.7885 1.04 0.80 (1.04)

PROBLEM II: (20 points) Given the following information, is triangular arbitrage possible? If so detail the steps necessary to carry out triangular arbitrage and compute the profit from this strategy if the

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