Consider an economy described by the following equations:
C = 100 + 0.6 ∗ (Y − T) (consumption function)
I = 200 − 1000 ∗ r (investment function)
G = T = 100 (government purchase and tax)
where Y is the national income and r is the interest rate.
Assume r = 10%, What is the equilibrium income?
The planned expenditure is
PE=0.6Y+240.
Equalize the planned expenditure and the actual expenditure we have
0.6Y+240=Y
which gives Y*= 600.
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