Consider a one-year currency swap with semi-annual payments. The two currencies are the US$ and the euro. The current exchange rate is $0.75/euro. The term structure of interest rates for LIBOR and Euribor are:

What is the annualized fixed rate in euros?

A. 0.0648
B. 0.0784
C. 0.0628

Correct Answer: A

First we compute the discount factors:

PV₀^euro(180) = 1 / (1 + 0.06 x 180/360) = 0.9709
PV₀^euro(360) = 1 / (1 + 0.066 x 360/360) = 0.9381

The fixed rate in euros is: (1/0.5) x (1 - 0.9381) / (0.9709 + 0.9381) = 0.0648