1. Calculate GDP loss if equilibrium level of GDP is $10,000, unemployment rate 9.8%, and the MPC is 0.75.
GDP loss:
a) How much money should the government spend to eliminate this GDP loss?
b) Calculate the tax cut needed to eliminate this GDP loss.
Solution: GDP loss: $860
Working:
GDP loss: [(MPC* Unemployment rate) /100] * Equilibrium level of GDP
GDP loss: = [(0.75*9.8)/100 * 10,000] + 125
GDP loss: = 735 + 125
GDP loss: = 860
1) Money government should spend to eliminate this GDP loss: $215
Working:
MPS: 1/(1-MPC) = 1 /0.25 = 4
Thus Money government should spend to eliminate this GDP loss $860/4 = $215
2) Tax cut required to eliminate GDP loss: $382.22
Working: Tax cut required to eliminate GDP loss: $860/(0.75*3) = $382.22
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