A closed economy produces and consumes 100 apples at $1 each and 100 bananas at $1 each. Then hot weather causes production of apples to halve, price of apples to double, production of bananas to double, price of bananas to halve. Calculate the percentage changes in: nominal GDP; real GDP; GDP deflator; CPI.
Solution:
Apples Quantity |
Apple Price |
Banana Quantity |
Banana Price |
Nominal GDP |
Real GDP |
|
Year 1 |
100 |
1 |
100 |
1 |
100*1 + 100*1 = 200 |
100*1 + 100*1 = 200 |
Year 2 |
50 |
2 |
200 |
0.5 |
50*2 + 200*0.5 = 200 |
50*1 + 200*1 =250 |
400 |
450 |
% change in real GDP: 250 -200 / 200 *100 = 25%
% change in nominal GDP: 200 - 200 / 200 * 100 = 0%
GDP Deflator = [Nominal GDP / Real GDP] x 100 = 200 / 250 * 100 = 80
CPI = 450/400 * 100= 112.5
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