Suppose
MPC = 0.8
t = 0.25
Initial Equilibrium level of GDP be Y0 = 600
∆G = 10
∆TR = -10
(a) Find the change in equilibrium level of GDP i.e. ∆Y0.
(b) What is the change in the Budget Surplus i.e. ∆BS? Why has BS changed?
Solution
"\\frac{\u2206Y}{\u2206G}=\\frac{1}{1-MPC}"
"\\frac{\u2206Y}{10}=\\frac{1}{1-0.8} =\n\n\u2206Y=50"
∆Y0=50
b.) Change in budget surplus
∆BS="\\frac{(1-MP)(1-t)}{(1-MP)(1-t)} .\u2206G"
"\u2206BS=\\frac{(1-0.8)(1-0.25)}{(1-0.8)(1-0.25)} .10"
∆BS= -3.75
Increase in government expenditure leads to change in equilibrium GDP thus causing a negative change in the Budget Surplus.
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