Question

Today, the spot price of the EUR/USD exchange rate is $1.0796. The bid and ask quotes for the six-month EUR/USD forward contracts are, respectively, 73.56 and 75.68. Recall that quotes are reported in basis points, which is the common practice in FX market. According to the interest rate parity, what is the implied foreign interest rate differential

Answer 1

b. 13.63%

Step-by-step explanation:

Multiple choice "(a) 1.01% (b) 1.37% (c) 0.50% (d) -0.50%"

Spot rate = future rate /(1 + interest rate differential)

1.0796 = (1.0796 + 0.007356)/(1 + interest rate differential)

1.0796 = 1.086956 / (1 + interest rate differential)

1.0796 * (1 + interest rate differential) = 1.086956

(1 + interest rate differential) = 1.086956/1.0796

(1 + interest rate differential) = 1.006813634679511

Interest rate differential = 1.006813634679511 - 1

Interest rate differential = 0.006813634679511

interest rate differential = 0.006813634679511*2

interest rate differential = 0.013627269359022

interest rate differential = 13.63%

So, the difference between interest rate of Europe and US is 13.63%.