a) In a closed economy with a government:
Y = C + I + G = 100 + 0.4Y + 300 + 200,
0.6Y = 600,
Y = 1000,
T = t*Y = 0.2*1000 = 200.
The budget surplus/deficit is:
T - G = 200 - 200 = 0.
b) In an open economy with a government.
Y = C + I + G + (X - z*Y) = 100 + 0.4Y + 300 + 200 + (300 - 0.4Y),
Y = 900,
T = t*Y = 0.2*900 = 180.
The budget surplus/deficit is:
T - G = 180 - 200 = -20, so there is a deficit of 20.
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