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AD and AS Model: Derivation of AD Curve and Supply in IS-LM, Study notes of Economics

A lecture note from the fall semester '05-'06 for a course on macroeconomics. It covers the extension of the is-lm model to think about price adjustment by deriving the aggregate demand curve and the aggregate supply curve. The document also includes examples and mathematical derivation of the ad curve.

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Uploaded on 08/18/2009

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Fall Semester ’05-’06
Akila Weerapana
Lecture 17: The Aggregate Demand/Aggregate Supply Model
I. OVERVIEW
By now, you should be familiar with the basic IS-LM model and be able to use it to analyze
real-world economic issues. As the last lecture indicated, the IS-LM model, despite its sim-
plicity, is very powerful and can be used to understand several interesting types of economic
developments.
However, a significant weakness still remains, namely, the inability to think about how changes
in the economy affect inflation. In other words, even though we have the Solow model to think
about the economy in the long run and the IS-LM model to think about the economy in the
short run, we have no intermediate run model.
In the next few lectures we will extend the IS-LM model so as to be able to use it for thinking
about price adjustment. In today’s class, we will derive the basic components of the model:
an aggregate demand curve and an aggregate supply curve and then put the model together
and use it in the next few classes.
II. USING THE IS-LM MODEL TO OBTAIN AN AGGREGATE DEMAND
CURVE
The aggregate demand curve summarizes the relationship between the price level and the
quantity of domestic output demanded by consumers, firms, the government and foreigners.
Graphically, we can derive this curve from the IS-LM diagrams. Consider an increase in the
price level P. When Pgoes up, money demand increases, bringing about an excess demand
for money - the LM curve shifts inward raising rand lowering Y. When Pgoes down, money
demand decreases, bringing about a an excess supply of money - the LM curve shifts outward
lowering rand raising Y.
By repeating this experiment for different price levels we can map out the negative relationship
between Pand Yalong the AD curve.
IS-LM Model
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r
Y
IS
LM (P0)
LM00 (P2)
LM0(P1)
Y0
r0
Y1
r1
Y2
r2
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AD Model
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6
P
Y
AD
Y0
P0
Y1
P1
Y2
P2
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pf4
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Partial preview of the text

Download AD and AS Model: Derivation of AD Curve and Supply in IS-LM and more Study notes Economics in PDF only on Docsity!

Fall Semester ’05-’ Akila Weerapana

Lecture 17: The Aggregate Demand/Aggregate Supply Model

I. OVERVIEW

  • By now, you should be familiar with the basic IS-LM model and be able to use it to analyze real-world economic issues. As the last lecture indicated, the IS-LM model, despite its sim- plicity, is very powerful and can be used to understand several interesting types of economic developments.
  • However, a significant weakness still remains, namely, the inability to think about how changes in the economy affect inflation. In other words, even though we have the Solow model to think about the economy in the long run and the IS-LM model to think about the economy in the short run, we have no intermediate run model.
  • In the next few lectures we will extend the IS-LM model so as to be able to use it for thinking about price adjustment. In today’s class, we will derive the basic components of the model: an aggregate demand curve and an aggregate supply curve and then put the model together and use it in the next few classes.

II. USING THE IS-LM MODEL TO OBTAIN AN AGGREGATE DEMAND

CURVE

  • The aggregate demand curve summarizes the relationship between the price level and the quantity of domestic output demanded by consumers, firms, the government and foreigners.
  • Graphically, we can derive this curve from the IS-LM diagrams. Consider an increase in the price level P. When P goes up, money demand increases, bringing about an excess demand for money - the LM curve shifts inward raising r and lowering Y. When P goes down, money demand decreases, bringing about a an excess supply of money - the LM curve shifts outward lowering r and raising Y.
  • By repeating this experiment for different price levels we can map out the negative relationship between P and Y along the AD curve.

IS-LM Model

6 @ @ @ @ @ @ @

@@

r

Y

IS

LM (P 0 ) LM′′^ (P 2 )

LM′^ (P 1 )

Y 0

r 0

Y 1

r 1

Y 2

r 2



AD Model

6

P

Y

AD

Y 0

P 0

Y 1

P 1

Y 2

P 2

Shifts in vs. Movements Along The AD Curve

  • Any shift in the IS-LM model that is caused by a change in prices is represented as a movement along the AD curve. Any other shift in the IS curve or the LM curve that increases income will be a shift out in the AD curve and any change in the IS-LM model that reduces income will be a shift in of the AD curve.

EXAMPLE 1: An Increase in G

6 @ @ @ @ @ @ @

@@

@ @ @ @ @ @ @ @ @ @ @

r

Y

IS

LM

IS′

Y 0

r 0

Y 1

r 1

AD Model

6

P

Y

AD

AD′

Y 0

P 0

Y 1

EXAMPLE 2: A Decrease in the M s

6 @ @ @ @ @ @ @

@@

r

Y

IS

LM′^ LM

Y 1

r 1

Y 0

r 0





AD Model

6

P

Y

AD′

AD

Y 1

P 0

Y 0





  • The assumption of fixed prices and expandable output imply a short run aggregate supply curve (SRAS) that is horizontal. Note that this is definitely a simplifying assumption - prices are not completely fixed in the short run and output is not infinitely expandable either, so in reality the SRAS may only be flat in the vicinity of current output and upward sloping elsewhere. We will, however, use a horizontal SRAS in our analysis.
  • In the long run we assume that output is fixed at the level of potential output - what the economy can produce given K,L and technology available. We assume that potential output is exogenously given (it is endogenous in the Solow model but not in AD-AS model). Thus the long run aggregate supply curve (LRAS) is vertical.
  • The intersection of SRAS and AD indicates where we are now (Y 0 , the short run equilibrium) and the intersection of LRAS and AD indicates the long run equilibrium of the economy (Y ∗, potential output).

AD-AS Model

6

P

Y

AD

SRAS

LRAS

P 0

Y 0 Y ∗

Shifts in the SRAS Curve

Short Run

  • In the short run, the aggregate supply curve is fixed, i.e. SRAS does not move. The only time it will shift is if there is a SUDDEN increase or decrease in prices, in which case the SRAS curve will shift up or down.
  • If there is an unexpected increase in prices (e.g. an oil price increase) the SRAS will shift up, reducing the current output level from Y 0 to Y 1.
  • If there is an unexpected decrease in prices (e.g. an oil price decrease) the SRAS will shift down, increasing the current output level from Y 0 to Y 1.

Sudden increase in P

6

P

Y

AD

SRAS

LRAS

SRAS’ P 0

Y 0

P 1

Y 1 Y ∗

6 6

Sudden decrease in P

6

P

Y

AD

SRAS

LRAS

SRAS′

P 0

Y 0

P 1

Y 1 Y ∗

??

Intermediate Run

  • In the intermediate run prices will adjust. As prices adjust the SRAS curve will shift up or down. Whether prices increase or decrease depends on the relative level of current output with respect to potential output. There are 3 cases for analysis.

Case 1: The short run equilibrium is below potential output.

  • If the short run equilibrium Y 0 (i.e. where the IS and LM curves intersect) is below the potential output level Y ∗ then over time prices fall because there is insufficient demand for goods and services.
  • We can see this in the AD diagram where as P falls the SRAS moves down along the AD curve until the economy reaches potential output.
  • Note that there is a corresponding movement along the IS-LM diagram, as P falls, the LM curve shifts out until equilibrium is reached at the level of potential output in the long run.

IS-LM Model

6 @ @ @ @ @ @ @

@@

q q

q q

q q

q q

q q

q q

q q

q q

q q

q q

r

Y

IS

LM LM′

Y 0

r 0

Y ∗

r∗

AD-AS Model

6

P

Y

AD

SRAS′

SRAS

LRAS

P 0

Y 0

q q q q q q q q q q q q q q q q q q q q q q q q q q q q q q q q q q q

Y ∗

P ∗^?

?

Shifts in the LRAS Curve

  • In general, the long run aggregate supply curve is fixed, i.e. LRAS does not move. The only time it will shift is if there is a change in potential output.
  • If there is an increase in potential output (e.g. the economy has more capital, labor or technology growth than it would otherwise have had) the LRAS will shift to the right, raising the current potential output level from Y ∗^ to Y 1 ∗.
  • If there is a decrease in potential output (e.g. the economy has more capital, labor or tech- nology growth than it would otherwise have had) the LRAS will shift to the left, decreasing the potential output level from Y ∗^ to Y 1 ∗.

Increase in Potential Output

6

P

Y

AD

SRAS

LRAS LRAS′

P 0

Y ∗^ Y 1 ∗

Decrease in Potential Output

6

P

Y

AD

SRAS

LRAS′ LRAS

Y 1 ∗

P 0

Y ∗