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 $1.00 = ¥110. What must the interest rate in Japan be before you are willing to consider investing there for 9 months?
As per Interest Rate Parity Theory
Spot Rate : 1$ = 100
Farward Rate : 1 $ = 110
r = 9/12
Forward Rate =
110 =
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%
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