GDP = C + I + G
where
C- consumption,
I – investment,
G – government spending.
MPC is marginal propensity to consume.
A) The investment multiplier will be:
1/(1-MPC)=1/(1-0.8)=5
Since the initial increase in spending is $100 million and the multiplier is 5, this is simply:
∆GDP=5*100=$500
B) The Tax Multiplier is:
MPC/MPS=MPC/(1-MPC)=0.8/0.2=4
∆GDP=4*100=$400
C) Since spending reduced by $10 million and the multiplier is 5, then:
∆GDP=5*(-10)=-$50
D) Social Security payments are the part of citizens’ income. Eventually they will be consumed, but not completely. The total consumption will be reduced by: $10*0.8=$8 million.
The change of real GDP will be:
∆GDP=5*(-8)=-$40
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