A U.S. multinational is considering opening a subsidiary in Japan. The management is attempting to determine whether US/Japanese financial conditions are at parity. The current spot rate is a flat JPY/USD = 89.00, while the 360-day forward rate is JPY/USD = 84.90. Forecast inflation is 1.1% for Japan and 5.9% for the United States. The 360-day interest rate in Japan is 4.7%, and the 360-day interest rate in US is 9.5%. Calculate whether interest rate parity holds between Japan and the United States.
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As per Interest rate parity:
As per Interest rate parity the difference in spot fate and forward rate exits due to differences in interest rate between two countries.
F/S = (1+ra)/(1+rb)
F= forward rate 84.90
S = spot rate. 89
ra = interest rate of price currency. 0.047
rb= interest rate of base currency. 0.095
F/S = 84.90/89 = 0.954
(1+ra)/(1+rb) = (1+0.047)/(1+0.095)= 0.956
Expected forward rate = [(1+0.047)/(1+0.095)]×89 = 85
The Interest rate parity almost holds good between the two countries.
Ignoring minute variability,
It can be said that interest rate parity holds good.
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