Solution:
a.). i.). Nominal GDP:
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):
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:
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:
2012: "(\\frac{400 - 200}{200}) \\times 100 = 100\\%"
2013: "(\\frac{800 - 400}{400}) \\times 100 = 100\\%"
ii.). Percentage change in Real GDP:
2012: "(\\frac{400 - 200}{200}) \\times 100 = 100\\%"
2013: "(\\frac{400 - 400}{400}) \\times 100 = 0\\%"
iii.). Percentage change in GDP Deflator:
2012: "(\\frac{100 - 100}{100}) \\times 100 = 0\\%"
2013: "(\\frac{200 - 100}{100}) \\times 100 = 100\\%"
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