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A) Borrow $2,000,000 at 6%; trade $2,000,000 for €1,666,667 at the spot rate; invest
euros at i€ = 2%; translate euro proceeds back to dollars at the forward rate of $1.25 = €1.00 for
gross proceeds of $2,125,000. Net profit will be $5,000
B) Borrow $2,000,000 at 6%; trade $2,000,000 for €800,000 at the spot rate; invest
euros at i€ = 2%; translate euro proceeds back to dollars at the forward rate of $1.20 = €1.00. Net
profit will be $17,600.
C) Borrow €1,600,000 at i€ = 2%; translate euros to dollars at the spot rate, invest
dollars in the U.S. at i$ = 6% for one year; translate dollars back to $2,000,000 at the forward rate
of $1.20 = €1.00. Net profit will be €2,000.
D) Arbitrage opportunity does not exit
21) A Polish currency dealer has good credit and can borrow either €1,600,000 or $2,000,000
for one year. The one-year interest rate in the U.S. is i$ = 6.25% and in the euro zone the one-
year interest rate is i€ = 2%. The spot exchange rate is $1.20 = €1.00 and the one-year forward
exchange rate is $1.25 = €1.00. Show how you can realize a certain euro profit via covered
interest arbitrage.
A) Borrow $2,000,000 at 6.25%; trade $2,000,000 for €1,666,667 at the spot rate; invest
euros at i€ = 2%; translate euro proceeds back to dollars at the forward rate of $1.25 = €1.00 for
gross proceeds of $2,125,000. Net profit will be $5,000
B) Borrow $2,000,000 at 6.25%; trade $2,000,000 for €800,000 at the spot rate; invest
euros at i€ = 2%; translate euro proceeds back to dollars at the forward rate of $1.20 = €1.00. Net
profit will be $17,600.
C) Borrow €1,600,000 at i€ = 2%; translate euros to dollars at the spot rate, invest
dollars in the U.S. at i$ = 6.25% for one year; translate dollars back to $2,000,000 at the forward
rate of $1.20 = €1.00. Net profit will be €2,000.
D) Arbitrage opportunity does not exit
22) Suppose that the annual interest rate is 5.0 percent in the United States and 3.5 percent in
Germany. The spot exchange rate is $1.12/€, and the forward exchange rate with one-year
maturity is $1.16/€. Assume that an arbitrager can borrow up to $1,000,000. If an astute trader
finds an arbitrage opportunity, what is the net cash flow in one year?