What does the theory of purchasing power parity predict in the long run regarding the inflation rate

Question:

What does the theory of purchasing power parity predict in the long run regarding the inflation rate of a country that fixes its to the U.S. dollar?

Exchange Rate
The value of one currency for the purpose of conversion to another. Exchange Rate means on any day, for purposes of determining the Dollar Equivalent of any currency other than Dollars, the rate at which such currency may be exchanged into Dollars...