In: Finance
Suppose that the current spot rate is €0.80/$ and the 3-month forward exchange rate is €0.7813/$. The 3-month interest rate is 4.6% per annum in the U.S. and 4.4% per annum in France. Assume that you can borrow up to $1,000,000 or €800,000. Show how to realize a certain profit without taking any risk, assuming that you want to realize profit in terms of $. Also determine the size of your profit.
Ans :
Borrow 1000000 dollars
Convert to 800000 euros
Invest in UK becomes
800000*(1+4.4%*3/12)=808800 euros or 808800/0.7813=1035197.75 dollars
Return 1000000*(1+4.6%*3/12)=1011500 dollars
Profit = 1035197.75 - 1011500 = 23697.75