Suppose the following information describes the economy of a hypothetical country::
C = 200 + 0.9Yd
I = 100
G = 250
X = 200
Z = 50 + 0.12Y
t = 20%
Using the multiplier approach, calculate the equilibrium income.
Solution:
The correct answer is B. 1,750
Equilibrium income (Y): AD = AS: Y = Z
Y = C + I + G + X
C = 200 + 0.9Yd = 200 + 0.9(Y – T) = 200 + 0.9(Y – 0.2Y) = 200 + 0.9Y – 0.18Y
Y + 50 + 0.12Y = 200 + 0.9Y – 0.18Y + 100 + 250 + 200
1.12Y + 0.18Y – 0.9Y = 750 - 50
0.4Y = 700
Y = 1750
Equilibrium income = 1,750
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