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Applied Intermediate Macroeconomics by Hoover has some good information on this, see pg. 600. The word to look for is NAIRU, non-accelerating inflation rate of unemployment, but most call it the "natural rate of unemployment". Taking the equation 15.11 in the book as the base, the following relation can be shown between change in inflation rate and ...


I'm ot sure if it's the answer you're looking for but one commonly used method in practice is to simply take a long term average of the unemployment rate. The long term in this context means a period which covers exactly a full business cycle (either peak to peak or trough to trough). FYI. US business cycle dates can be found here (

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