# Intermediate Macroeconomic Theory

1 Automatic Stabilizers
Suppose that consumption is modeled as in lecture:
C = c0 + c1YD
where YD = Y − T is disposable income. Now suppose that instead of treating taxes (T) as
exogenous, tax policy is conducted according to the following equation:
T = t0 + t1Y
that is, taxes depend on income. Assume that 0 < t1 < 1. Continue to treat government spending
(G) and investment (I) as exogenous.

1. Solve for equilibrium output.
2. What is the multiplier? Does the economy respond more to changes in autonomous spending
when t1 is 0 or when t1 is positive? Explain.
3. Why would this type of fiscal policy be called an automatic stabilizer?
2 Balanced Budget vs. Automatic Stabilizers
Suppose tax policy is conducted as in the above problem.
4. Solve for taxes in equilibrium.
5. Suppose that the government starts with a balanced budget (ie. G = T) and that there is
then a drop in consumer confidence (c0 drops). What happens to income and taxes?
6. Suppose that the government adjusts spending (G) to keep the budget balanced. What will
the effect be on Y ? Does this effect counteract or reinforce the effects of the drop in consumer
confidence?

Sample Solution

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