Question

Suppose that you are the international treasurer of Apple with an extra U.S. $10 million to invest for 9 months. You are considering the purchase of U.S. T-bills that yield 1.50% annual rate. The spot exchange rate is $1.00 = ¥100, and the 9 month forward rate is $1.00 = ¥110. What must the interest rate in Japan be before you are willing to consider investing there for 9 months? A. 14.5515 B. <8.8975 C. >13.4983 D. 12.5050

Answer 1

Answer:

Japan Interest Rate = 0.15%  

Explanation:

As per Interest Rate Parity Theory

Spot Rate : 1$ = 100

Forward Rate : 1 $ = 110

r = 9/12

As per interest rate parity, forward rate = Spot rate(1+Interest rate Japan)/(1+Interest rate US)

Forward rate = Spot rate *(1+ iD)/(1+iF)

110 / 100 = (1 + Japan Interest Rate * 9 /12)  / 1.01125

1.1 * 1.01125 = 1 + Japan Interest Rate * 0.75

1.112375 = 1 + Japan Interest Rate * 0.75

Japan Interest Rate * 0.75 = 1.112375 - 1

Japan Interest Rate * 0.75 = 0.112375

Japan Interest Rate = 0.112375 / 0.75

Japan Interest Rate = 0.15%