MPC-0.75 45-Degree Line 200 180 New AE Line 100 140 120 New Equilibrium 100 80 60 40 AE Line 20 o 20 40 0 80 100 120 140 180 180 200 REAL INCOME (Billins of dollars) In the first economy (with MPC = 0.5), the $20 billion increase in planned investment causes equilibrium income to increase by S second economy (with MPC = 0.75), the $20 billion increase in planned investment causes equilibrium income to increase by S | billion. In the billion. Therefore, a lower MPC is associated with a multiplier. Now, confirm your graphical analysis algebraically using the formula for the multiplier: Multiplier = AC For the first economy with an MPC of 0.5, the effect of the $20 billion increase in planned investment becomes the following: Change in Equilibrium Real Income = Change in Planned Expenditure × Multiplier Using the same method, the multiplier for the second economy is PLANNED EXPENDITURE (Billions of dollars) I| ||||

MACROECONOMICS
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ISBN:9781337794985
Author:Baumol
Publisher:Baumol
Chapter11: Managing Aggregate Demand: Fiscal Policy
Section11.A: Graphical Treatment Of Taxes And Fiscal Policy
Problem 3TY
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MPC=0.75
200
45-Degree Line
180
New AE Line
180
140
120
New Equilibrium
100
80
60
40
AE Line
20
20
40
60
80
100
120
140
160
180
200
REAL INCOME (Billions of dollars)
In the first economy (with MPC = 0.5), the $20 billion increase in planned investment causes equilibrium income to increase by $
billion. In the
second economy (with MPC = 0.75), the $20 billion increase in planned investment causes equilibrium income to increase by s
billion.
Therefore, a lower MPC is associated with a
multiplier.
Now, confirm your graphical analysis algebraically using the formula for the multiplier:
Multiplier = H MIC
For the first economy with an MPC of 0.5, the effect of the $20 billion increase in planned investment becomes the following:
Change in Equilibrium Real Income
Change in Planned Expenditure x Multiplier
%3D
Using the same method, the multiplier for the second economy is
PLANNED EXPENDITURE (Billions of dollars)
I| ||||
Transcribed Image Text:MPC=0.75 200 45-Degree Line 180 New AE Line 180 140 120 New Equilibrium 100 80 60 40 AE Line 20 20 40 60 80 100 120 140 160 180 200 REAL INCOME (Billions of dollars) In the first economy (with MPC = 0.5), the $20 billion increase in planned investment causes equilibrium income to increase by $ billion. In the second economy (with MPC = 0.75), the $20 billion increase in planned investment causes equilibrium income to increase by s billion. Therefore, a lower MPC is associated with a multiplier. Now, confirm your graphical analysis algebraically using the formula for the multiplier: Multiplier = H MIC For the first economy with an MPC of 0.5, the effect of the $20 billion increase in planned investment becomes the following: Change in Equilibrium Real Income Change in Planned Expenditure x Multiplier %3D Using the same method, the multiplier for the second economy is PLANNED EXPENDITURE (Billions of dollars) I| ||||
7. The multiplier and the MPC
Consider two closed economies that are identical except for their marginal propensity to consume (MPC). Each economy is currently in equilibrium with
real income and planned expenditure equal to $100 billion, as shown by the black points on the following two graphs. Neither economy has taxes that
change with income. The grey lines show the 45-degree line on each graph.
The first economy's MPC is 0.5. Therefore, its initial planned expenditure line has a slope of 0.5 and passes through the point (100o, 100).
The second economy's MPC is 0.75. Therefore, its initial planned expenditure line has a slope of 0.75 and passes through the point (100, 100).
Now, suppose there is an increase of $20 billion in planned investment in each economy.
Place a green line (triangle symbol) on each of the preceding graphs to indicate the new planned expenditure line for each economy. Then place a
black point (plus symbol) on each graph showing the new level of equilibrium income. (Hint: You can see the slope and vertical axis intercept of a line
on the graph by selecting it.)
MPC=0.5
45-Degree Line
200
180
New AE Line
160
140
120
New Equilibrium
100
80
60
AE Line
20
20
40
60
80
100 120
140
160
180
200
REAL INCOME (Billions of dollars)
PLANNED EXPE NDITURE (Billions of dollars)
Transcribed Image Text:7. The multiplier and the MPC Consider two closed economies that are identical except for their marginal propensity to consume (MPC). Each economy is currently in equilibrium with real income and planned expenditure equal to $100 billion, as shown by the black points on the following two graphs. Neither economy has taxes that change with income. The grey lines show the 45-degree line on each graph. The first economy's MPC is 0.5. Therefore, its initial planned expenditure line has a slope of 0.5 and passes through the point (100o, 100). The second economy's MPC is 0.75. Therefore, its initial planned expenditure line has a slope of 0.75 and passes through the point (100, 100). Now, suppose there is an increase of $20 billion in planned investment in each economy. Place a green line (triangle symbol) on each of the preceding graphs to indicate the new planned expenditure line for each economy. Then place a black point (plus symbol) on each graph showing the new level of equilibrium income. (Hint: You can see the slope and vertical axis intercept of a line on the graph by selecting it.) MPC=0.5 45-Degree Line 200 180 New AE Line 160 140 120 New Equilibrium 100 80 60 AE Line 20 20 40 60 80 100 120 140 160 180 200 REAL INCOME (Billions of dollars) PLANNED EXPE NDITURE (Billions of dollars)
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