The CPI-U (U.S. city average, all items) has the following annual averages:
Year |
Index |
---|---|
2013 |
237.3 |
2014 |
239.6 |
2015 |
242.8 |
2016 |
243.8 |
2017 |
248.4 |
Part a
For each year from 2014 to 2017, determine the annual inflation rate in percent to two decimal places.
Year |
Inflation Rate |
---|---|
2014 |
enter percentages % |
2015 |
enter percentages % |
2016 |
enter percentages % |
2017 |
enter percentages % |
Part b
Since inflation, like interest, is compounded from period (e.g. year to year), estimate the overall annuel inflation rate per year from 2013 to 2017.
enter percentages % |
Answer:
Inflation = [( CPI in year 2 - CPI in year 1) /CPI in year 1]*100
2014 = [(239.6-237.3)/237.3]*100
=0.97%
2015 = [(242.8-239.6)/239.6]*100
=1.33%
2016 = [(243.8-242.8)/242.8]*100
=0.41%
2017 = (248.4-243.8)/243.8]*100
=1.88%
Year | Inflation rate |
2014 | 0.97% |
2015 | 1.33% |
2016 | 0.41% |
2017 | 1.88% |
B]
inflation from 2013 to 2017
= [ ( 2017 CPI - 2013 CPI ) / 2013's CPI. ] *100.
[(248.4 -237.3) / 237.3]*100 = 4.66%
inflation from 2013 to 2017 = 4.66%
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