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Chapter 21: Spending and
Output in the Short Run
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Learning Objectives
1. Identify the key assumptions of the basic
Keynesian model and explain how this affects
firms' production decisions
2. Discuss the determination of planned
investment and aggregate consumption
spending and how these are used to develop
the model of planned aggregate spending
3. Analyze, using graphs and numbers, how an
economy reaches short-run equilibrium in the
basic Keynesian model
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Learning Objectives
4. Show how a change in planned aggregate
expenditure can cause a change in shortrun equilibrium output and how this is
related to the income-expenditure
multiplier
5. Explain why the basic Keynesian model
suggests that fiscal policy is useful as a
stabilization policy, and discuss the
qualifications that arise in applying fiscal
policy in real-world situations
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Recessionary Gap
Great Depression
Available
resources are unemployed
Demand for goods and services unmet
A decrease in spending leads to lower
production
Laid-off
workers reduce their spending
Insufficient spending to support the normal level of
production
Conventional economic policy of the 1920s
and 1930s would not solve this problem
John
Maynard Keynes revolutionized economic
thought and public policy
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John Maynard Keynes (1883 – 1946)
After World War I, Keynes recognized that
the terms of the peace would lead to another
war
German
war reparations would prevent growth
and recovery
The General Theory of Employment, Interest, and
Money (1936) is his best-known work
Problem
was explaining why economies kept a
recessionary gap for long periods
Aggregate spending is too low for full employment
Stabilization policies use government spending or taxes
to substitute for spending in other sectors
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Keynesian Model
Building block for current theories of shortrun economic fluctuations and stabilization
policies
In the short run, firms meet demand at preset
prices
Firms
typically set a price and meet the demand at
that price in the short run
Menu price is the cost of changing prices
• Determining the new price
• Incorporating prices into the business
• Informing consumers of new prices
Firms change prices when the marginal
benefits exceed the marginal costs
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Technology of Changing Prices
Technology has reduced menu costs
Bar
codes and scanners reduce costs of changing
prices in the store
Online surveys
Highly segmented airline pricing
Internet mechanisms for setting price
eBay
■
Priceline
Other costs remain
Competitive
analysis
prices
Informing consumers
■
Deciding the new
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Planned Aggregate Expenditure (PAE)
PAE is planned spending on final goods and
services
Four components of planned aggregate
expenditure
Consumption
(C) by households
Investment (I) is planned spending by domestic
firms on new capital goods
Government purchases (G) are made by
federal state and local governments
Net exports (NX) is exports minus imports
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Planned versus Actual Investment Example
Suppose Khedr Papyrus Company produces $5
million of Egyptian papyrus paintings per year
Expected
sales are $4.8 million and planned
inventory increase is $0.2 million
Capital expenditure of $1 million is planned
Total planned investment is $1.2 million
If actual sales are only $4.6 million
Unplanned
inventory investment of $0.2 million
Actual investment is $1.4 million
If actual sales are $5.0 million
Unplanned inventory decrease of $0.2 million
Actual investment is $1.0 million
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Planned Aggregate Expenditure
Actual spending equals planned spending for
Consumption
Government
Net
purchases of final goods and services
exports
Adjustments between actual and planned
spending are accomplished with changes in
inventories
The general equation for planned aggregate
expenditures is
P
PAE = C + I + G + NX
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Consumption Spending and the Economy
Consumption (C) accounts for two-thirds
of total spending
Powerful
determinant of planned aggregate
spending
Includes purchases of goods, services, and
consumer durables, but not houses
Rent is considered a service
C depends on disposable income, (Y – T)
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The Egyptian Consumption Function, 20072011
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The Turkish Consumption Function, 20072011
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The UAE Consumption Function, 2007- 2011
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Consumption Function
The consumption function is an equation relating
planned consumption to its determinants,
notably disposable income (Y – T)
C = C + (mpc) (Y – T)
where C is autonomous consumption spending and
mpc is the change in consumption for a given
change in (Y – T)
Autonomous consumption is spending not related to
the level of disposable income
A change in C shifts the consumption function
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Consumption Function
C = C + (mpc) (Y – T)
The wealth effect is the tendency of
changes in asset prices to affect household's
wealth and this consumption spending
This
effect is included in C
C also captures the effects of interest rates
on consumption
Higher
rates increase the cost of using credit
to purchase consumer durables and other
items
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Consumption Function
C = C + (mpc) (Y – T)
Marginal propensity to consume (mpc)
is the increase in consumption spending
when disposable income increases by $1
mpc
is between 0 and 1 for the economy
If households receive an extra $1 in income,
they spend part (mpc) and save part
(Y – T) is disposable income
Output
plus government transfers minus taxes
Main determinant of consumption spending
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Consumption spending (C)
Consumption Function
C = C + (mpc) (Y – T)
Intercept
C
slope
ΔC
C
Δ (Y – T)
Slope = Δ C / Δ (Y – T)
Disposable income (Y – T)
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Planned Aggregate Expenditure And Output
Two dynamic patterns in the economy
Declines in production lead to reduced
spending
2. Reductions in spending lead to declines in
production and income
1.
Consumption is the largest component of
PAE
Consumption
depends on output, Y
PAE depends on Y
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Linking Planned Aggregate Expenditure To
Output
PAE = C + IP + G + NX
C = C + mpc (Y – T)
PAE = C + mpc (Y – T) + IP + G + NX
Suppose that planned spending components
have the following values
C = 620
IP = 220
mpc = 0.8
G = 330
T = 250
NX = 20
PAE = 620 + 0.8 (Y – 250) + 220 + 330 + 20
PAE = 960 + 0.8 Y
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Linking Planned Aggregate Expenditure To
Output
C = 620 + 0.8 (Y – 250)
PAE = 960 + 0.8 Y
If Y increases by $1, C will increase by $0.80
PAE
increases by 80 cents
Planned aggregate expenditure has two parts
Autonomous
expenditure, the part of spending
that is independent of output
$960 in our example
Induced
expenditure, the part of spending that
depends on output (Y)
0.8 Y in our example
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Planned aggregate expenditure (PAE)
Planned Expenditure Graph
PAE = 960 + 0.8Y
960
Slope = 0.8
4,800
Output (Y)
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Short-Run Equilibrium
Short-run equilibrium is the level of output at
which planned spending is equal to output
No
change in output as long as prices are constant
Our equilibrium condition can be written
Y = PAE
Using our previous example,
PAE = 960 + 0.8 Y
Y = 960 + 0.8 Y
0.2 Y = 960
Y = $4,800
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Short-Run Equilibrium Search
Output (Y) PAE = 960 + 0.8 Y
4,000
4,160
4,200
4,400
4,600
4,800
5,000
5,200
Y – PAE
–160
Y = PAE?
No
–120
–80
–40
0
40
80
No
No
No
Yes
No
No
4,320
4,480
4,640
4,800
4,960
5,120
Only when Y = 4,800 does planned spending equal
output
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Planned aggregate expenditure (PAE)
Short-Run Equilibrium Graph
Y = PAE
PAE = 960 + 0.8Y
Slope = 0.8
960
45o
4,800
Output (Y)
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Output Greater than Equilibrium
Y = PAE
PAE = 960 +
0.8Y
PAE
Suppose output reaches
5,000
Planned spending is less
than total output
Unplanned inventory
increases
Businesses slow down
production
Output goes down
96
0
45o
4,800
5,000
Output (Y)
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Output Less than Equilibrium
Y = PAE
PAE = 960 +
0.8Y
PAE
Suppose output is only
4,500
Planned spending is
more than total output
Unplanned inventory
decreases
Businesses speed up
production
Output goes up
96
0
4,700 4,800
Output (Y)
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Planned aggregate expenditure
(PAE)
Lower Equilibrium
Y = PAE
PAE = 960 + 0.8Y
PAE = 950 + 0.8Y
E
F
960
950
45o
Recessionary gap
4,750 4,800
Y* Output Y
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New Equilibrium
–
Autonomous consumption, C, decreases by 10
Causes
a downward shift in the planned aggregate
expenditures curve
The economy eventually adjusts to a new lower
level of equilibrium spending an output, $4,750
Suppose that the original equilibrium level,
$4,800, represented potential output, Y*
A
recessionary gap develops
Size of the recessionary gap is 4,800 – 4,750 = $50
Entire decrease is in Consumption spending
Same process applies to a decrease in IP, G, or
NX
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New Short-Run Equilibrium Search
Output
(Y)
4,600
4,650
4,700
PAE = 950 + 0.8 Y
Y – PAE
Y = PAE?
4,630
4,670
4,710
–30
–20
–10
No
No
No
4,750
4,800
4,850
4,900
4,750
4,790
4,830
4,870
0
10
20
30
Yes
No
No
No
4,950
5,000
4,910
4,950
40
50
No
No
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Japan's Recession and East Asia
Japanese recession in 1990s reduced Japanese
imports
East Asian economies developed by promoting
exports
The
decrease in exports to Japan decreased
planned aggregate expenditures in these countries
The decrease in planned spending caused the
economies to contract to a new, lower level of
planned spending and output
Japan exported its recession to its neighbors
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The Multiplier
The income – expenditure multiplier shows
the effect of a one-unit increase in
autonomous expenditure on short-run
equilibrium output
Previous
example
Initial planned expenditure = 960 + 0.8 Y
New planned expenditure = 950 + 0.8 Y
Equilibrium changed from $4,800 to $4,750
A $10 change in autonomous expenditures caused a $50
change in output
Multiplier = 5
The
larger mpc, the greater the multiplier
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Stabilizing Planned Spending: The Role of
Fiscal Policy
Stabilization policies are government
actions to affect planned spending with the
intention of eliminating output gaps
Expansionary
policies increase planned
spending
Contractionary policies decrease planned
spending
Two major stabilization tools are fiscal policy and
monetary policy
Fiscal policy uses changes in government spending,
transfers, or taxes
Monetary policy uses changes in the money supply
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Government Purchases and Planned Spending
Government spending is part of planned spending
Changes in government spending will directly affect
planned aggregate expenditures
Suppose planned spending decreases $ 10 from
Y = 960 + 0.8 Y
to
Y = 950 + 0.8 Y
Equilibrium Y decreases from $4,800 to $4,750
Recessionary gap is $50
Stabilization policy indicates a $10 increase in
government spending will restore the economy to
Y* at $4,800
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Planned aggregate expenditure
(PAE)
$10 Fiscal Stimulus
Y = PAE
PAE = 960 + 0.8Y
PAE = 950 + 0.8Y
E
F
960
95
0
45o
4,750 4,800
Y* Output Y
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Japanese Spending
In the 1990s Japan spent over $1 trillion on
public works
Highways,
subways, and transportation projects
Concert halls
Re-laying cobblestone sidewalks
Projects did not end the recession
Prevented
larger decrease in income
Eroded consumer confidence because there was
little demand
Consumers reduced spending in anticipation of higher
taxes in the future
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Taxes, Transfers and Aggregate Spending
Planned aggregate expenditures are affected
by taxes and transfers
The
effect is indirect, channeled through the
effects on disposable income
Lower taxes or higher transfers increase disposable
income
Increases in disposable income lead to higher C
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Tax Cuts Stimulate – An Example
Original planned spending Y = 960 + 0.8 Y
Autonomous spending decreases Y = 950 + 0.8 Y
Recessionary gap is $50
Tax cut to close the gap must be bigger than $10
Increase
disposable income to cause initial increase in
spending to be $10
Taxes will have to go down by $12.5
Output
(Y)
Net Taxes
(T)
Disposable
Income (Y – T)
Consumption
610 + 0.8 (Y – T)
4,750
250
4,500
4,210
4,750
237.5
4,512.5
4,220
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Fiscal Policy as A Stabilization Tool: Three
Qualifications
Fiscal policy may affect potential output as well
as potential spending
Investment
in infrastructure increases Y*
Taxes and transfers affect incentives and could
decrease potential output, Y*
Supply-side economists argue the primacy of
supply-side effects of fiscal policy
Current thinking is more moderate
Demand-side
effect of spending matter
Supply-side effects also matter
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Fiscal Policy and Deficit Spending
Government deficit is the difference between
government spending and net taxes, (G – T)
Large
and persistent budget deficits reduce
national saving
Less saving means less investment which means less
growth
Managing the impact of the deficit limits the
government's ability to use fiscal policy as a
stimulus
Political
considerations make it difficult to use
contractionary fiscal policy
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Fiscal Policy Flexibility
Two limits to fiscal policy flexibility
The
legislative process requires time
Change in fiscal policy may be slow
Competing
political objectives
National defense
Entitlements such as unemployment benefits and
welfare payments
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Fiscal Policy Can Be Effective
Automatic stabilizers increase
government spending or decrease taxes
when real output declines
Built
into laws so no decision is required
Unemployment compensation, progressive
income tax
Fiscal policy may be useful to address
prolonged periods of recession
Monetary
policy is more often used to stabilize
the economy
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Chapter 21
Appendix A
An Algebraic Solution
of the Basic Keynesian Model
The Basic Keynesian Model
PAE = C + IP + G + NX
–
C = C + mpc (Y – T)
The consumption function is defined by
C,
autonomous consumption
mpc, the marginal propensity to consume, a number
between 0 and 1
IP, G, T and NX are given
–
I=I
planned investment
–
G=G
government purchases
–
T =T
–
NX = NX
–
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net taxes
net exports
44
Find Short-Run Equilibrium Output
–
– – – ––
PAE = C + mpc (Y – T) + I + G + NX
–
– – – ––
PAE = C – mpc T + I + G + NX + mpc Y
Equilibrium condition is PAE = Y
–
– – – ––
Y = C – mpc T + I + G + NX + mpc Y
–
– – – ––
Y – mpc Y = C – mpc T + I + G + NX
–
– – – ––
(1 – mpc) Y = C – mpc T + I + G + NX
–
– – – ––
C – mpc T + I + G + NX
Y=
(1 – mpc)
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Short-Run Equilibrium Example
–
– – – ––
C – mpc T + I + G + NX
Y=
(1 – mpc)
–
C = 620
–
G = 300
–
T = 250
Y=
–
I = 220
––
NX = 20
mpc = 0.8
620 – 0.8 (250) + 220 + 300 +20
(1 – 0.8)
Y = 960 / 0.2 = 4,800
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Chapter 21
Appendix B
The Multiplier in
the Basic Keynesian Model
The Income and Expenditure Multiplier
Suppose autonomous spending decreases
$10 and mpc is 0.8
First
decrease in spending is $10
Leads to a decrease in output of $10
Second
decrease in spending is $8
Third decrease is $6.40, etc.
Sum of the decreases in spending
10 + 8 + 6.4 + 5.12 + …
= 10 [1 + 0.8 + (0.8)2 + (0.8)3…]
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Income and Expenditure Multiplier
To find the sum of the series, we need a relationship
when x is between 0 and 1
x2
x3
1+x+ + +
In our case, x = 0.8
x4 +
1
…=
= multiplier
(1 – x)
10 [1 + 0.8 + (0.8)2 + (0.8)3…]
= 10
1
1
= 10
(1 – 0.8)
(1 – x)
= 10 (1 / 0.2) = 10 (5) = 50
In this case, the multiplier is 5
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