Question

Assume that interest rate parity holds and that 90-day risk-free securities yield a nominal annual rate of 3% in the United States and a nominal annual rate of 3.5% in the United Kingdom. In the spot market, 1 pound 5 $1.29. a. What is the 90-day forward rate

Answer 1

$1.55

Step-by-step explanation:

Interest rate parity = (1+Rh) / (1+Rf) = F1 / S0

Rh = rate on home currency here US is home 3% p.a = 3%/4 = 0.75%

Rf= rate on foreign currency here Germany 3.5% p.a = 3.5%/4 = 0.875

F1 = Forward rate , S0= Spot market rate

So, (1+0.0075) / (1+0.00875) = F1 / 1.56

1.0075/1.00875 = F1 / 1.56

0.998761 = F1 / 1.56

F1 = 0.998761 * 1.56

F1 = 1.55806716

F1 = $1.55

Thus, the 90-day forward rate is $1.55