200 CHAPTER 18
and the level of investment and government spending are given as G0 and I0. There is no
money market in the model and the price level is fixed.
(a). Derive an expression for the government spending multiplier (ΔY/ΔG) and a tax
multiplier defined as (ΔY/Δt0).
(b). Derive an expression analogous to the balanced budget multiplier in Chapter 5, (i.e., a
multiplier showing the change in Y when G rises by 1 unit, financed by a rise of one unit in
t0).
11. Discuss future predicted changes in the government’s budget over the next 20 years. Make
sure to discuss changes in government spending and budget deficits. What are the
implications of these developments in the Keynesian model? In classical models?
12. Consider the following economy
C = 50 + .8(Y-T)
T = -200 + .25Y
I = 100
G = 210
(a). calculate equilibrium income.
(b). calculate the equilibrium budget deficit.
(c). Suppose that the government passes a balanced budget amendment that requires that
Congress must lower G by the total amount of the deficit (which you just calculated in part
(b)). Re-calculate equilibrium income and the new budget deficit at this lower level of G.
Does this amendment achieve its goal of a zero deficit? Why or why not?
13. Derive the automatic stabilizer multiplier. What are the key factors that determine the size
of this multiplier?
14. According to the partisan theory model, which party should be more concerned with budget
deficits? Does this match recent experience?
15. Do automatic stabilizers suffer from the same problems of discretionary stabilization policy
emphasized by the classical, monetarist, and new classical models? Why or why not?
16. Deficits move strongly opposite of GDP in the US. In order to deal with large budget
deficits, some have proposed a balanced budget amendment, meaning that all government
spending would have to be paid with tax revenues in the current year. Using our IS/LM and
AD/AS model, what impact would this have on size of changes in output during business
cycles? The impact of stabilization policy?
17. Sovereign debt crises often lead to hyperinflations. Explain why.
18. Do automatic fiscal policy stabilizers suffer from the same problems of time inconsistency
as discretionary fiscal policy? Explain why or why not.