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Suppose that the spot exchange rate between the Japanese Yen (Y) and the U

Math

Suppose that the spot exchange rate between the Japanese Yen (Y) and the U.S. dollar ($) was Y110/$1 in 1990.  Between 1990 and 1995, the consumer price index rose 20% in  Japan, and 30% in the U.S.  Then what will be the sport exchange rate in 1995 predicted by  the Purchasing Power Parity Hypothesis? 

           

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            Answer:

                   r1 = ro[(1+πf)/ (1+πh)] = (Y110/$1)[(1+0.2)/(1+0.3)]  =Y101.538/$1.

                   That is, $ depreciates, and Y appreciates during the period.