In the above question, calculate the effect on output of a 10 per cent increase in transfers, and a 10 per cent increase in lump-sum taxes. Compare the effects of the two.
Given is
C = 20 + 0.80 Y (C = 20 & MPC = 0.8)
I = 30
c = 0.80
G = 50
TR = 100
∆TR = 10
(a) Equilibrium level of income = 1/(1-c) [C + cTR + I + G + c∆TR]
= 1/ (1 – 0.8) [20 + (0.8 X 100) + 30 + 50 + (0.8 x 10)]
= 940
∆Y = 940 – 900 = 40
Change in income due to change in tax
∆Y = -c/1-c X ∆T = - 40
Therefore increase in 10% in transfer will raise the income by 40% and increase in 10 % in tax will decrease the income by 40%