The Bureau of Labor Statistics has a website wwwblsgov that

The Bureau of Labor Statistics has a website (www.bls.gov) that contains a Consumer Price Index inflation calculator that uses the average CPI to adjust the purchasing power of money over different periods of time. The CPI index value has been calculated every year since 1913. The calculator indicated that $2.3 million in 1913 would have the same purchasing power as $23,930,909 in 2016. What was the average inflation rate over this 103-year time period? The average inflation rate was _____% per year.

Solution

Ans. Yes the perchasing power in 1913 and in 2016 are the same because the pace with which prices increased in the same fashion nominal income also increased.

The average inflation can be easiliy calculated by formula=(final value of CPI i.e. in 2016-initial value i.e. in 1913)/initial value i.e. 1913