consider the following economy, where prices are fixed: c=100+3/4*( disposable income, t= 1/3*y , i=100, g=300, x=100, m=1/6*y. what is the equation for the aggregate expenditure curve?
Solution:
The equation for aggregate expenditure curve is: AE = C + I + G + NX
Where: C = Consumption
I = Investment
G = Government spending
NX = Net Exports (Exports – Imports)
T = 0.3Y
C = 100 + 0.75YD = 100 + 0.75 (Y – T) = 100 + 0.75 (Y – 0.3Y)
I = 100
G = 300
NX = x – m = 100 – 0.16Y
AE = 100 + 0.75(Y – 0.3Y) + 100 + 300 + 100 – 0.16Y
AE = 100 + 100 + 300 + 100 + 0.75Y – 0.225Y – 0.16Y
AE = 600 + 0.365Y
The equation for aggregate expenditure curve is: AE = 600 + 0.365Y
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