The following equations describe your economy: Y = C + I + G C = c(bar) +cYD
Question:
The following equations describe your economy:
Y = C + I + G
C = c(bar) +cYD
YD = Y + TR – TA
I = I(bar)
G = G(bar)
TA = tY
TR = TR(bar) – rY
(NOTE: c(bar), I(bar), TR(bar)= C-Bar, I-bar TR-BAR ---- The bar across the top variables indicates its autonomous)
(Also, ‘t’ is a proportional tax on income, and governs the inverse relationship between transfers and income)
a) Suppose that the government adopts a proposal to impose a tax on transfer payments to its citizens such that TA = t (Y + TR) (note: TR still TR(bar). Using this expression for taxes and the same expression for transfers as given in the model, derive an expression for equilibrium output.
b) Does a tax on transfer payments increase, decrease or leave unchanged the extent of automatic stabilization? Explain!