Question

9. The CPI-U (U.S. city average, all items) has the following annual averages: YEAR INDEX 2006...

9. The CPI-U (U.S. city average, all items) has the following annual averages:

YEAR INDEX

2006 201.600

2007 207.342

2008 215.303

2009 214.537

2010 218.056

a. For each year from 2007 to 2010, determine the annual inflation rate in percent to three decimal places.

b. Since inflation, like interest, is compounded from period to period (e.g., year to year), estimate the overall annual inflation rate per year from 2006 to 2010. Suggestion: Do not simply average the rates of Part a.

Homework Answers

Answer #1

a) inflation formula = [ ( later CPI - starting CPI ) / starting CPI. ] *100.

2007 = [(207.342 - 201.600) / 201.600]*100

= (5.724 / 201.600)*100

= 2.839

2008 = [(215.303- 207.324) / 207.324]*100

= (7.979 / 207.324)*100

= 3.848

2009 = [(214.537- 215.303) / 215.303]*100

= ( - 0.766 / 215.303)*100

= - 0.355 (deflation) or negative inflation

2010 = [(218.056- 214.537) / 214.537]*100

= (3.519/ 214.537)*100

= 1.614

b) inflation from 2006 to 2010

= [ ( 2010's CPI - 2006's CPI ) / 2006's CPI. ] *100.

[(218.056- 201.600) / 201.600]*100

= (0.08162/ 201.600)*100

= 8.162

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