Suppose that the MPC = 0.75 and the MPIM = 0.15. Full employment real GDP is equal to $1000 million and actual real GDP is $750 million. What change in government spending is necessary to bring the economy to full employment?
Actual GDP = 750 million and Full employment GDP = 1000 million. Thus we want to increase GDP by 1000 million - 750 million = 250 million.
Multiplier = 1/(1 - MPC + MPIM) = 1/(1 - 0.75 + 0.15) = 2.5 where MPIM = Marginal propensity to import and MPC = Marginal propensity to consume.
=> Multiplier = 2.5.
This means that $1 increase in autonomous expenditure(like Government spending(G)) will result in increase in Real GDP by $2.5. Thus In order to increase Real GDP by $250 million we have to increase G by (1/2.5)*250 million = 100 million.
Hence Change in G = 100 million in order to acheive full employment level of output.
Hence, the correct answer is (A) change in G = $100 million.
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