The
components of planned aggregate spending in a certain economy are
given by Consumption Function: C = 800 + 0.75(Y - T) – 2000r
Planned Investment: I p = 400–3000r Government Revenue and
Spending: T = 300 and G = 450 Net Export: NX = 75 where r is the
real interest rate (For example, r = 0.01 means that the real
interest rate is 1 percent). (1) Find the level of public saving.
(2) Suppose that the real interest rate is 5%. Show the
autonomous consumption level and the autonomous expenditure level.
(3) How does a two percentage point decrease in the real
interest rate affect the short-run equilibrium output? 7
(4) Suppose that the potential output of this economy equals 4800.
Find the short-run equilibrium real interest rate that brings the
economy to full employment. (5) Suppose Government
Revenue T = tY (0< t <1); r stays at the initial level (5%),
Please calculate the multiplier effect of the government spending
increase on the output change (ΔY/ΔG).