7.
A
For year 2008:
Nominal GDP = 4*100 + 50*10
Nominal GDP = $900
Real GDP = 5*100 + 50*10
Real GDP = $1000
GDP deflator = (nominal GDP / real GDP)*100 = (900/1000)*100
GDP deflator = 90
====
D.
For year 2011:
Nominal GDP = 6*80 + 65*12
Nominal GDP = $1260
Real GDP = 5*80 + 50*12
Real GDP = $1000
GDP deflator = (nominal GDP / real GDP)*100 = (1260/1000)*100
GDP deflator = 126
====
E.
GDP deflator for 2009 = 100 ( since 2009 is a base year)
GDP deflator for 2010 = (nominal GDP / real GDP)*100 = ((5*100 + 60*15)/(5*100 + 50*15))*100
GDP deflator for 2010 = 112
So,
Inflation rate between 2009 and 2010 = (GDP deflator in 2010 - GDP deflator in 2009)/ GDP deflator in 2009
Inflation rate between 2009 and 2010 = (112-100)/100
Inflation rate between 2009 and 2010 = 12%
==
Inflation rate between 2010 and 2011 = (GDP deflator in 2011 - GDP deflator in 2010)/ GDP deflator in 2010
Inflation rate between 2010 and 2011 = (126 - 112)/112 ( GDP deflator for 2011 is already calculated in part D)
Inflation rate between 2010 and 2011 = 12.5%
The work of calculating Nominal GDP, real GDP and GDP deflator of different years, shows that GDP deflator is increasing every year and in 2008 it was less than 100. It makes inflation rate to increase every year even if it is slightly higher in 2011 that is 12.5% in comparison to 12% in year 2010 as calculated above.
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