Exam 6: International Parity Relationships and Forecasting Foreign Exchange Rates

Suppose that the annual interest rate is 2.0 percent in the United States and 4 percent in Germany,and that the spot exchange rate is $1.60/€ and the forward exchange rate,with one-year maturity,is $1.58/€.Assume that an arbitrager can borrow up to $1,000,000 or €625,000.If an astute trader finds an arbitrage,what is the net cash flow in one year?

An Italian currency dealer has good credit and can borrow €800,000 for one year.The one-year interest rate in the U.S.is i_$ = 2% and in the euro zone the one-year interest rate is i_€ = 6%.The spot exchange rate is $1.25 = €1.00 and the one-year forward exchange rate is $1.20 = €1.00.Show how to realize a certain euro-denominated profit via covered interest arbitrage.

Suppose that you are the treasurer of IBM with an extra U.S.$1,000,000 to invest for six months.You are considering the purchase of U.S.T-bills that yield 1.810 percent (that's a six month rate,not an annual rate by the way)and have a maturity of 26 weeks.The spot exchange rate is $1.00 = ¥100,and the six month forward rate is $1.00 = ¥110.The interest rate in Japan (on an investment of comparable risk)is 13 percent.What is your strategy?

Suppose you observe a spot exchange rate of $1.0500/€.If interest rates are 5% APR in the U.S.and 3% APR in the euro zone,what is the no-arbitrage 1-year forward rate?

Use the information below to answer the following question. Exchange Rate Interest Rate APR (\ /) \ 1.60=1.00 i\ 2\% (\ /) \ 1.58=1.00 i 4\% If you had borrowed $1,000,000 and traded for euro at the spot rate,how many € do you receive?