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the ISLM model

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Copyright 2011 
Pearson Canada Inc.
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Chapter 22
The ISLM Model
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Pearson Canada Inc.
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Determination of Aggregate Output
The total quantity demanded of an economy’s
output is the sum of four types of spending
Y
AD
= C +I + G + NX
Equilibrium occurs in the economy when the total
quantity of output supplied equals the total
quantity of output demanded.
Y = Y
AD
Analysis assumes that the price level is fixed.
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Pearson Canada Inc.
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Consumption Expenditure and the Consumption Function I

Income is the most important factor determining
consumption spending


Disposable income (Y
d
) is total income minus taxes (Y-T)

The marginal propensity to consume (mpc) is the slope
of the consumption function (ΔC/ΔY
d
)

mpc is the change in consumer expenditure that result
from an additional dollar of disposable income

a is autonomous consumer expenditure (i.e. expenditure
that is independent of disposable income)
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Pearson Canada Inc.
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Consumption Expenditure and the Consumption
Function II
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Consumption Function
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Investment Spending


Fixed investment—always planned

Inventory investment—can be unplanned

Planned investment spending

Interest rates

Expectations
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Pearson Canada Inc.
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The Keynesian Cross
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Expenditure Multiplier

A change in planned investment spending leads to an
even larger change in aggregate output.

An increase in planned investment spending leads to an
additional increase in consumer expenditure which raises
aggregate demand and output further.










=












=∆
mpcI
Y
I
mpc
Y
1
1
1
1
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Pearson Canada Inc.
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Response of Aggregate Output to a Change in
Planned Investment
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Response of Aggregate Output to a Collapse in Investment
Spending (1929-1933)
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Pearson Canada Inc.
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Changes in Autonomous Spending

Any change in autonomous spending will lead to a
multiplied change in aggregate output









+=∆
mpc

IaY
1
1
)(

The shift in the aggregate demand function can come
from a change in planned investment, a change in
autonomous consumer spending, or both

Changes in autonomous spending are dominated by
“animal spirits”
Copyright 2011 
Pearson Canada Inc.
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Government’s Role

Government spending and taxes can be used to
change the position of the aggregate demand
function

Government spending adds directly to aggregate
demand

Taxes do not affect aggregate demand directly

If taxes change, consumer expenditure changes in
the opposite direction
[ ]
T) X (mpc - Y) x (mpc )( x +=−+= aTYmpcaC

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Pearson Canada Inc.
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Response of Aggregate Output to Government Spending and
Taxes
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Pearson Canada Inc.
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Role of International Trade
A change in net exports (exports – imports) is
positively related to changes in aggregate output









∆=∆
mpc
NXY
1
1
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Pearson Canada Inc.
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15
Response of Aggregate Output to a Change in Net
Exports
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Response of Aggregate Output to Changes in I, G, T,
NX
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The ISLM Model

Includes money and interest rates in the
Keynesian framework

Examines an equilibrium where aggregate output equals
aggregate demand

Assumes fixed price level where nominal and real quantities
are the same

IS curve is the relationship between equilibrium aggregate
output and the interest rate

LM curve is the combinations of interest rates and aggregate
output for which M
D

= M
S
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Pearson Canada Inc.
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Equilibrium in the Goods Market:
The IS Curve

Interest rates and planned investment spending

Negative relationship

Interest rates and net exports

Negative relationship

The points at which the total quantity of goods
produced equals the total quantity of goods
demanded

Output tends to move toward points on the curve
that satisfies the goods market equilibrium
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Pearson Canada Inc.
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Deriving the IS Curve
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Equilibrium in the Market for Money:
The LM Curve I

Demand for money called liquidity preference

M
d
/P depends on income (Y) and interest rates (i)

Positively related to income

Raises the level of transactions

Increases wealth

Negatively related to interest rates
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Pearson Canada Inc.
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Equilibrium in the Market for Money:
The LM Curve II

Connects points that satisfy the equilibrium
condition that M
D
= M
S


For each level of aggregate output, the LM
curve tells us what the interest rate must be
for equilibrium to occur

The economy tends to move toward points on
the LM curve
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Pearson Canada Inc.
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Deriving the LM Curve
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Pearson Canada Inc.
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The ISLM Diagram: Determination of Output and the
Interest Rate

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