Question

Suppose the U.S. yield curve is flat at 4% and the euro yield curve is flat at 3%. The current exchange rate is $1.50 per euro. What will be the swap rate on an agreement to exchange currency over a 3-year period

Answer 1

$4.24287 million per year

Step-by-step explanation:

Missing question: The swap will call for the exchange of 1 million euros for a given number of dollars in each year.

For structured three separate forward contracts of the exchange of currencies, the forward price could be found as follows

Forward exchange rate * $1 million error = Dollar to be received

Year 1 = 1.50*(1.04/1.03) * 1 million euros

Year 1 = 1.514563106796117 * 1 million euros

Year 1 = $1.5145 million

Year 2 = 1.50*(1.04/1.03)^2 * 1 million euros

Year 2 = 1.529267602978604 * 1 million euros

Year 2 = $1.5293 million

Year 3 = 1.50*(1.04/1.03)^3 * 1 million euros

Year 3 = $1.5441 million

The number of dollars each year is determined by computing the present value:

= 1.5145 / 1.04 + 1.5293 /(1.04)^2 +1.5441 / (1.04)^3

= 1.45625 + 1.41392 + 1.3727

= $4.24287 million per year