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Answer Key - Problem Set 3

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3. (Fiscal Policy and the Multiplier Model)<br />

a. Fill the table and find the marginal propensities to consume and save.<br />

A<br />

B<br />

C<br />

D<br />

E<br />

GDP Taxes<br />

Disposable Consumption Planned Government Total Planned<br />

Income Expenditure Investment Purchases Expenditure<br />

Q<br />

T DI<br />

C<br />

I<br />

G C+I+G=TE<br />

7000 350 6650 6400 250 150 6800<br />

6500 350 6150 6000 250 150 6400<br />

6000 350 5650 5600 250 150 6000<br />

5500 350 5150 5200 250 150 5600<br />

5000 350 4650 4800 250 150 5200<br />

What is the equilibrium level of GDP?<br />

6000<br />

b. What is the value of the government expenditure multiplier?<br />

What is the value of the tax multiplier?<br />

5.00<br />

4.00<br />

c.<br />

If the government wants to increase GDP with 1000 how should it use each of the fiscal policy instrum<br />

(Discuss each of the instruments separately)<br />

(indicate both the direction and the magnitude of the change)<br />

1) increase government purchases by:<br />

200<br />

2) decrease taxes by:<br />

250<br />

d. Illustrate question c with a multiplier model (<strong>Key</strong>nesian cross) diagram.<br />

TE<br />

TE=C+I+G+ΔG+X<br />

TE<br />

TE=C+I+G+X+ΔT*MPC<br />

↑<br />

TE=C+I+G+X<br />

↑<br />

TE=C+I+G+X<br />

ΔG=200<br />

ΔT*MPC=<br />

250*0.8=200<br />

ΔQ=1000<br />

ΔQ=1000<br />

Q0<br />

→<br />

Q1<br />

GDP<br />

Q0<br />

→<br />

Q1<br />

GDP<br />

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