"GDP \\space deflator=\\frac{nominal GDP}{real \\space GDP}\\times 100"
"2007\\\\=\\frac{12000}{10000}\\times100=120\\%\\\\2006\\\\=\\frac{10000}{8000}\\times100=125\\%"
rate of growth of
i)nominal GDP in 2007
"=\\frac{nominal\\space GDP\\space in\\space 2007-nominal\\space GDP\\space in\\space 2006}{nominal \\space GDP\\space in\\space 2006}\\times 100\\\\=\\frac{12000-10000}{10000}\\times 100\\\\=20\\%"
ii)real GDP in 2007
"=\\frac{real\\space GDP\\space in\\space 2007-real\\space GDP\\space in\\space 2006}{real \\space GDP\\space in\\space 2006}\\times 100\\\\=\\frac{10000-8000}{8000}\\times 100\\\\=25\\%"
rate of inflation in 2007
"\\frac{deflator\\space in\\space 2006-deflator \\space in \\space 2006}{deflator\\space in\\space 2006}\\times 100\\\\=\\frac{120-125}{125}\\times 100\\\\=-4\\%"
in GDP deflator, inflation measures level of prices of purchase by government, consumers and business while in CPI the inflation measures level of prices of purchase by consumers only.
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