In: Economics
Using the data and equilibrium income seen below (with expansionary fiscal and monetary policy), calculate the budget surplus (deficit)
AD=Y=200+0.8(Y-.0.25Y+1000)+500-25i+2000+1000
Y=0.5Y-25i+4500
0.5Y=4500-25i
Y=9000-50i
Ms=L
4000=0.5Y-75i
Y=8000+150i
8000+150i=9000-50i
150i=1000-50i
200i=1000
i=5
Y=8000+150(5)
Y=8750
Budget surplus or deficit is a measure of the government's budget balance. The formula for the budget balance is given as T-G-TR (T-taxes, G- government spending, TR-transfers). A budget balance is said to be in deficit if if G+TR exceeds T and the budget balance is negative. While if T exceeds G+TR then the budget balance is said to be in surplus and the budget balance is positive.
Based on the given data we can state that G = 2000
Now the consumption function is of the form C = C(bar) + c (Yd);
where Yd = Y-T+TR;
T = t.Y (t-tax rate)
T = 0.25Y and TR = 1000
From your data we see the equilibrium level of Y is 8750. At this level of Y, T= 0.25*8750 = 2187.5
So budget balance = T-G-TR = 2187.5-2000-1000 = -812.5
The negative sign of the budget balance indicates a budget deficit as government spends more in G and TR then it earns in Taxes.
Hence the government has a budget deficit of 812.5 owing to its expansionary policy.