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 $1 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?

What will be an ideal response?


23,930,909 = 1,000,000(1 + f)¹?³
(1 + f)¹?³ = 23.9309
1 + f = 23.9309^0.00971
f = 0.0313 (3.13% per year)

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