GDP = Y= C + I + G + (X-M)
MPC = 0.67
Government expenditure/spending
Multiplier effect = 1/1-MPC
Multiplier effect = 1/(1-0.6667)
Multiplier effect = 1/0.3333 = 3
Decrease in G by $20M
Multiplier effect = -$"20\\times 3" = -$60 million
Transfer payments
Transfer payments reduce the effect of a change in real GDP on disposable personal income.
Increase in transfer payments by $30million = MPC \(1-MPC)
KT = MPC/1-MPC
KT = 0.67/1-0.67 = 2 * $30 = $60 million increase in real GDP
Net effect on real GDP =Increase in government transfers of 30 million + decrease in government spending of $20 million
Net increase of $ in real GDP = $ 60 -$60 = $ 0
Thus, the overall net effect on real GDP is 0. Hence, in the long run, the government will be in a position to restore the economy to equilibrium.
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