Solution:
a.). i.). Nominal GDP: Current year prices "\\times" current year quantities:
2011: (1 "\\times"200) + (2 "\\times"50) = 100 + 100 = 200
2012: (1 "\\times"200) + (2 "\\times"100) = 200 + 200 = 400
2013: (2 "\\times"200) + (4 "\\times"100) = 400 + 400 = 800
ii). Real GDP (Base year 2011): Current base year prices "\\times" current year quantities:
2011: (1 "\\times"200) + (2 "\\times"50) = 100 + 100 = 200
2012: (1 "\\times"200) + (2 "\\times"100) = 200 + 200 = 400
2013: (1 "\\times"200) + (2 "\\times"100) = 200 + 200 = 400
iii.). GDP Deflator: "\\frac{Nominal\\;GDP}{Real\\; GDP} \\times100 = 100"
2011: "\\frac{200}{200} \\times100 = 100"
2012: "\\frac{400}{400} \\times100 = 100"
2013: "\\frac{800}{400} \\times100 = 200"
b.) i.). Percentage change in Nominal GDP: "\\frac{Current \\;year\\; Nominal\\;GDP -previous \\;year\\;Nominal\\;GDP }{previous \\;year \\;Nominal\\;GDP} \\times100"
2012: "(\\frac{400 - 200}{200}) \\times 100 = 100\\%"
2013: "(\\frac{800 - 400}{400}) \\times 100 = 100\\%"
ii.). Percentage change in Real GDP: "\\frac{Current \\;year\\; Real\\;GDP -previous \\;year\\;Real\\;GDP }{previous \\;year \\;Real\\;GDP} \\times100"
2012: "(\\frac{400 - 200}{200}) \\times 100 = 100\\%"
2013: "(\\frac{400 - 400}{400}) \\times 100 = 0\\%"
iii.). Percentage change in GDP Deflator: "\\frac{Current \\;year\\;GDP \\;Deflator -previous \\;year\\;GDP\\;Deflator }{previous \\;year\\;GDP\\;Deflator} \\times100"
2012: "(\\frac{100 - 100}{100}) \\times 100 = 0\\%"
2013: "(\\frac{200 - 100}{100}) \\times 100 = 100\\%"
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