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One would expect that PPP would be better verified for countries with high inflation. Look at the validity of PPP for Latin American countries relative to the United States.
Take the end-of-quarter consumer price index data for a sample of high-inflation emerging countries and the United States for a period of ten years or more. For each country, divide its price index by that of the United States to obtain its relative price index.
Take end-of-quarter exchange rates against the U.S. dollar.
For each country, perform various statistical tests to compare the two series. For example, you can first plot them, using a common base. You can also calculate their quarterly percent variation and compare the means of the two series (average inflation differential and average depreciation of the currency). You could do a regression of the quarterly exchange rate variations on the quarterly inflation differential and look at the regression coefficients, as well as at the R-square.
Do a similar calculation for some developed countries (e.g., Japan, Germany, and the United Kingdom) relative to the United States. Are the conclusions similar?
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