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© 2016 Worth Publishers, all rights reserved Aggregate Demand II: Applying the IS - LM Model 12 CHAPTER Modified for ECON 2204 by Bob Murphy

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© 2016 Worth Publishers, all rights reserved

Aggregate Demand II:Applying the IS-LM Model

12CHAPTER

Modified for ECON 2204by Bob Murphy

1CHAPTER 12 Aggregate Demand II

Context

§ Chapter 10 introduced the model of aggregate demand and supply.

§ Chapter 11 developed the IS-LM model, the basis of the aggregate demand curve.

IN THIS CHAPTER, YOU WILL LEARN:

§ how to use the IS-LM model to analyze the effects of shocks, fiscal policy, and monetary policy

§ how to derive the aggregate demand curve from the IS-LM model

§ several theories about what caused the Great Depression

2

3CHAPTER 12 Aggregate Demand II

The intersection determines the unique combination of Y and rthat satisfies equilibrium in both markets.

The LM curve represents money market equilibrium.

Equilibrium in the IS-LM model

The IS curve represents equilibrium in the goods market.

Y C Y T I r G= − + +( ) ( )

( , )M P L r Y= ISY

rLM

r1

Y1

4CHAPTER 12 Aggregate Demand II

Policy analysis with the IS-LM model

We can use the IS-LMmodel to analyze the effects of• fiscal policy: G and/or T• monetary policy: M

Y C Y T I r G= − + +( ) ( )

( , )M P L r Y=

ISY

rLM

r1

Y1

5CHAPTER 12 Aggregate Demand II

causing output & income to rise.

IS1

An increase in government purchases

1. IS curve shifts right

Y

rLM

r1

Y1

GΔ−

1by 1 MPC

IS2

Y2

r2

1.2. This raises money

demand, causing the interest rate to rise…

2.

3. …which reduces investment, so the final increase in Y

GΔ−

1is smaller than 1 MPC

3.

6CHAPTER 12 Aggregate Demand II

IS1

1.

A tax cut

Y

rLM

r1

Y1

IS2

Y2

r2

Consumers save (1−MPC) of the tax cut, so the initial boost in spending is smaller for ΔTthan for an equal ΔG… and the IS curve shifts by

T− Δ−1MPCMPC

1.

2.

2.…so the effects on rand Y are smaller for ΔTthan for an equal ΔG.

2.

7CHAPTER 12 Aggregate Demand II

2. …causing the interest rate to fall

IS

Monetary policy: An increase in M

1. ΔM > 0 shifts the LM curve down(or to the right)

Y

r LM1

r1

Y1 Y2

r2

LM2

3. …which increases investment, causing output & income to rise.

8CHAPTER 12 Aggregate Demand II

Interaction between monetary & fiscal policy§ Model:

§ Monetary & fiscal policy variables (M, G, and T ) are exogenous.

§ Real world: § Monetary policymakers may adjust M

in response to changes in fiscal policy, or vice versa.

§ Such interactions may alter the impact of the original policy change.

9CHAPTER 12 Aggregate Demand II

The Fed’s response to ΔG > 0

§ Suppose Congress increases G.

§ Possible Fed responses:

1. hold M constant2. hold r constant3. hold Y constant

§ In each case, the effects of the ΔGare different…

10CHAPTER 12 Aggregate Demand II

If Congress raises G, the IS curve shifts right.

IS1

Response 1: Hold M constant

Y

rLM1

r1

Y1

IS2

Y2

r2If Fed holds M constant, then LM curve doesn’t shift.

Results:

2 1Y Y YΔ = −

2 1r r rΔ = −

11CHAPTER 12 Aggregate Demand II

If Congress raises G, the IS curve shifts right.

IS1

Response 2: Hold r constant

Y

rLM1

r1

Y1

IS2

Y2

r2To keep r constant, Fed increases Mto shift LM curve right.

3 1Y Y YΔ = −

0rΔ =

LM2

Y3

Results:

12CHAPTER 12 Aggregate Demand II

IS1

Response 3: Hold Y constant

Y

rLM1

r1

IS2

Y2

r2To keep Y constant, Fed reduces Mto shift LM curve left.

0YΔ =

3 1r r rΔ = −

LM2

Results:

Y1

r3

If Congress raises G, the IS curve shifts right.

13CHAPTER 12 Aggregate Demand II

Shocks in the IS-LM model

IS shocks: exogenous changes in the demand for goods & services.

Examples: § stock market boom or crash

g change in households’ wealthg ΔC

§ change in business or consumer confidence or expectations g ΔI and/or ΔC

14CHAPTER 12 Aggregate Demand II

Shocks in the IS-LM model

LM shocks: exogenous changes in the demand for money.

Examples:§ A wave of credit card fraud increases

demand for money.§ More ATMs or the Internet reduce money

demand.

NOW YOU TRYAnalyze shocks with the IS-LM model

Use the IS-LM model to analyze the effects of1. a housing market crash that reduces

consumers’ wealth2. consumers using cash in transactions more

frequently in response to an increase in identity theft

For each shock, a. use the IS-LM diagram to determine the effects

on Y and r.b. figure out what happens to C, I, and the

unemployment rate.15

ANSWERS, PART 1Housing market crash

16

IS1

Y

rLM1

r1

Y1

IS2

Y2

r2

IS shifts left, causingr and Y to fall.

C falls due to lower wealth and lower income,

I rises because r is lower

u rises because Y is lower (Okun’s law)

ANSWERS, PART 2Increase in money demand

17

IS1

Y

rLM1

r1

Y1Y2

r2

LM2

LM shifts left, causingr to rise and Y to fall.

C falls due to lower income,

I falls because r is higher

u rises because Y is lower (Okun’s law)

18CHAPTER 12 Aggregate Demand II

CASE STUDY: The U.S. recession of 2001§ During 2001:

§ 2.1 million jobs lost, unemployment rose from 3.9% to 5.8%.

§ GDP growth slowed to 0.8% (compared to 3.9% average annual growth during 1994–2000).

19CHAPTER 12 Aggregate Demand II

CASE STUDY: The U.S. recession of 2001Causes: 1) Stock market decline g iC

300

600

900

1,200

1,500

1995 1996 1997 1998 1999 2000 2001 2002 2003

Inde

x (1

942

= 10

0) Standard & Poor’s 500

20CHAPTER 12 Aggregate Demand II

CASE STUDY: The U.S. recession of 2001Causes: 2) 9/11

§ increased uncertainty§ fall in consumer & business confidence§ result: lower spending, IS curve shifted left

Causes: 3) Corporate accounting scandals§ Enron, WorldCom, etc. § reduced stock prices, discouraged investment

21CHAPTER 12 Aggregate Demand II

CASE STUDY: The U.S. recession of 2001Fiscal policy response: shifted IS curve right

§ tax cuts in 2001 and 2003§ spending increases

§ airline industry bailout§ NYC reconstruction § Afghanistan war

22CHAPTER 12 Aggregate Demand II

CASE STUDY: The U.S. recession of 2001Monetary policy response: shifted LM curve right

Three-month T-Bill rate

01234567

23CHAPTER 12 Aggregate Demand II

What is the Fed’s policy instrument?§ The news media commonly report the Fed’s policy

changes as interest rate changes, as if the Fed has direct control over market interest rates.

§ In fact, the Fed targets the federal funds rate—the interest rate banks charge one another on overnight loans.

§ The Fed changes the money supply and shifts the LM curve to achieve its target.

§ Other short-term rates typically move with the federal funds rate.

24CHAPTER 12 Aggregate Demand II

What is the Fed’s policy instrument?

Why does the Fed target interest rates instead of the money supply?

1) They are easier to measure than the money supply.

2) The Fed might believe that LM shocks are more prevalent than IS shocks. If so, then targeting the interest rate stabilizes income better than targeting the money supply. (See problem 8 on p.364.)

25CHAPTER 12 Aggregate Demand II

IS-LM and aggregate demand

§ So far, we’ve been using the IS-LM model to analyze the short run, when the price level is assumed fixed.

§ However, a change in P would shift LM and therefore affect Y.

§ The aggregate demand curve(introduced in Chap. 10) captures this relationship between P and Y.

26CHAPTER 12 Aggregate Demand II

Y1Y2

Deriving the AD curve

Y

r

Y

P

IS

LM(P1)LM(P2)

AD

P1

P2

Y2 Y1

r2

r1

Intuition for slope of AD curve:

hP g i(M/P )

g LM shifts left

g hr

g iI

g iY

27CHAPTER 12 Aggregate Demand II

Monetary policy and the AD curve

Y

P

IS

LM(M2/P1)LM(M1/P1)

AD1

P1

Y1

Y1

Y2

Y2

r1

r2

The Fed can increase aggregate demand:

hM g LM shifts right

AD2

Y

r

g ir

g hI

g hY at each value of P

28CHAPTER 12 Aggregate Demand II

Y2

Y2

r2

Y1

Y1

r1

Fiscal policy and the AD curve

Y

r

Y

P

IS1

LM

AD1

P1

Expansionary fiscal policy (hG and/or iT ) increases agg. demand:

iT g hC

g IS shifts right

g hY at each value of P

AD2

IS2

29CHAPTER 12 Aggregate Demand II

IS-LM and AD-AS in the short run & long run

Recall from Chapter 10: The force that moves the economy from the short run to the long run is the gradual adjustment of prices.

Y Y>Y Y<

Y Y=

rise

fall

remain constant

In the short-run equilibrium, if

then over time, the price level will

30CHAPTER 12 Aggregate Demand II

The SR and LR effects of an IS shock

A negative IS shock shifts IS and AD left, causing Y to fall.

Y

r

Y

P LRAS

Y

LRAS

Y

IS1

SRAS1P1

LM(P1)

IS2

AD2AD1

31CHAPTER 12 Aggregate Demand II

The SR and LR effects of an IS shock

Y

r

Y

P LRAS

Y

LRAS

Y

IS1

SRAS1P1

LM(P1)

IS2

AD2AD1

In the new short-run equilibrium, Y Y<

32CHAPTER 12 Aggregate Demand II

The SR and LR effects of an IS shock

Y

r

Y

P LRAS

Y

LRAS

Y

IS1

SRAS1P1

LM(P1)

IS2

AD2AD1

In the new short-run equilibrium, Y Y<

Over time, P gradually falls, causing:• SRAS to move down• M/P to increase,

which causes LMto move down

33CHAPTER 12 Aggregate Demand II

AD2

The SR and LR effects of an IS shock

Y

r

Y

P LRAS

Y

LRAS

Y

IS1

SRAS1P1

LM(P1)

IS2

AD1

SRAS2P2

LM(P2)

Over time, P gradually falls, causing:• SRAS to move down• M/P to increase,

which causes LMto move down

34CHAPTER 12 Aggregate Demand II

AD2

SRAS2P2

LM(P2)

The SR and LR effects of an IS shock

Y

r

Y

P LRAS

Y

LRAS

Y

IS1

SRAS1P1

LM(P1)

IS2

AD1

This process continues until economy reaches a long-run equilibrium with

Y Y=

NOW YOU TRYAnalyze SR & LR effects of ΔM

35

a. Draw the IS-LM and AD-ASdiagrams as shown here.

b. Suppose Fed increases M.Show the short-run effects on your graphs.

c. Show what happens in the transition from the short run to the long run.

d. How do the new long-run equilibrium values of the endogenous variables compare to their initial values?

Y

r

Y

P LRAS

Y

LRAS

Y

IS

SRAS1P1

LM(M1/P1)

AD1

ANSWERS, PART 1Short-run effects of ΔM

36

LM and AD shift right.

r falls, Y rises above

Y

r

Y

P LRAS

Y

LRAS

Y

IS

SRASP1

LM(M1/P1)

AD1

LM(M2/P1)

AD2

Y2

Y2

r2

r1

Y

ANSWERS, PART 2Transition from short run to long run

37

Over time, § P rises § SRAS moves upward§ M/P falls§ LM moves leftward

New long-run eq’m§ P higher§ all real variables back at

their initial valuesMoney is neutral in the long run.

Y

r

Y

P LRAS

Y

LRAS

Y

IS

SRASP1

LM(M1/P1)

AD1

LM(M2/P1)

AD2

Y2

Y2

r2

r1

LM(M2/P3)

SRASP3

r3 =

The Great Depression

Unemployment (right scale)

Real GNP(left scale)

120

140

160

180

200

220

240

1929 1931 1933 1935 1937 1939

billio

ns o

f 195

8 do

llars

0

5

10

15

20

25

30

perc

ent o

f lab

or fo

rce

39CHAPTER 12 Aggregate Demand II

THE SPENDING HYPOTHESIS: Shocks to the IS curve§ Asserts the Depression was largely due to

an exogenous fall in the demand for goods & services—a leftward shift of the IS curve.

§ Evidence: output and interest rates both fell, which is what a leftward IS shift would cause.

40CHAPTER 12 Aggregate Demand II

THE SPENDING HYPOTHESIS: Reasons for the IS shift§ Stock market crash reduced consumption

§ Oct 1929–Dec 1929: S&P 500 fell 17%§ Oct 1929–Dec 1933: S&P 500 fell 71%

§ Drop in investment§ Correction after overbuilding in the 1920s.§ Widespread bank failures made it harder to obtain

financing for investment.

§ Contractionary fiscal policy§ Politicians raised tax rates and cut spending to

combat rising deficits.

41CHAPTER 12 Aggregate Demand II

THE MONEY HYPOTHESIS: A shock to the LM curve§ Asserts that the Depression was largely due to

huge fall in the money supply.

§ Evidence: M1 fell 25% during 1929–33.

§ But, two problems with this hypothesis:§ P fell even more, so M/P actually rose slightly

during 1929–31. § nominal interest rates fell, which is the opposite

of what a leftward LM shift would cause.

42CHAPTER 12 Aggregate Demand II

THE MONEY HYPOTHESIS AGAIN: The effects of falling prices§ Asserts that the severity of the Depression was

due to a huge deflation:P fell 25% during 1929–33.

§ This deflation was probably caused by the fall in M, so perhaps money played an important role after all.

§ In what ways does a deflation affect the economy?

43CHAPTER 12 Aggregate Demand II

THE MONEY HYPOTHESIS AGAIN: The effects of falling prices§ The stabilizing effects of deflation:

§ iP g h(M/P) g LM shifts right g hY§ Pigou effect:

iP g h(M/P ) g consumers’ wealth hg hCg IS shifts right g hY

44CHAPTER 12 Aggregate Demand II

THE MONEY HYPOTHESIS AGAIN: The effects of falling prices§ The destabilizing effects of expected deflation:

iEπg r h for each value of ig I i because I = I (r)g planned expenditure & agg. demand ig income & output i

45CHAPTER 12 Aggregate Demand II

THE MONEY HYPOTHESIS AGAIN: The effects of falling prices§ The destabilizing effects of unexpected deflation:

debt-deflation theoryiP (if unexpected)

g transfers purchasing power from borrowers to lenders

g borrowers are now less wealthy, lenders are now more wealthy

g if borrowers’ propensity to spend is larger than lenders’, then aggregate spending falls, the IS curve shifts left, and Y falls

46CHAPTER 12 Aggregate Demand II

Why another Depression is unlikely

§ Policymakers (or their advisers) now know much more about macroeconomics:§ The Fed knows better than to let M fall

so much, especially during a contraction.§ Fiscal policymakers know better than to raise

taxes or cut spending during a contraction.§ Federal deposit insurance makes widespread

bank failures very unlikely.

§ Automatic stabilizers make fiscal policy expansionary during an economic downturn.

47CHAPTER 12 Aggregate Demand II

CASE STUDYThe 2008–09 financial crisis & recession§ 2009: Real GDP fell, u-rate approached 10%

§ Important factors in the crisis:§ early 2000s Federal Reserve interest rate policy § subprime mortgage crisis§ bursting of house price bubble,

rising foreclosure rates§ falling stock prices§ failing financial institutions§ declining consumer confidence, drop in spending

on consumer durables and investment goods

Interest rates and house prices

50

70

90

110

130

150

170

190

0

1

2

3

4

5

6

7

8

9

2000 2001 2002 2003 2004 2005

Hou

se p

rice

inde

x, 2

000

= 10

0

inte

rest

rate

(%)

Federal Funds rate30-year mortgage rateCase-Shiller 20-city composite house price index

Change in U.S. house price index and rate of new foreclosures, 1999–2009

0.0

0.2

0.4

0.6

0.8

1.0

1.2

1.4

-6%

-4%

-2%

0%

2%

4%

6%

8%

10%

12%

14%

1999 2001 2003 2005 2007 2009

New

fore

clos

ure

star

ts

(% o

f tot

al m

ortg

ages

)

Perc

ent c

hang

e in

hou

se p

rices

(fr

om 4

qua

rters

ear

lier)

US house price indexNew foreclosures

House price change and new foreclosures, 2006:Q3–2009:Q1

0%

2%

4%

6%

8%

10%

12%

14%

16%

18%

20%

-40% -30% -20% -10% 0% 10% 20%

New

fore

clos

ures

, %

of a

ll m

ortg

ages

Cumulative change in house price index

Nevada

Georgia

ColoradoTexas

Alaska Wyoming

Arizona

California

Florida

S. Dakota

Illinois

Michigan

Rhode Island

Wisconsin Oregon

Ohio

New Jersey

Hawaii

U.S. bank failures by year, 2000–2011

0

20

40

60

80

100

120

140

160

2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011

Num

ber o

f ban

k fa

ilure

s

Major U.S. stock indexes (% change from 52 weeks earlier)

-80%

-60%

-40%

-20%

0%

20%

40%

60%

80%

100%

120%

140%

12/6

/199

9

8/13

/200

0

4/21

/200

1

12/2

8/20

01

9/5/

2002

5/14

/200

3

1/20

/200

4

9/27

/200

4

6/5/

2005

2/11

/200

6

10/2

0/20

06

6/28

/200

7

3/5/

2008

11/1

1/20

08

7/20

/200

9

DJIAS&P 500NASDAQ

Consumer sentiment and growth in consumer durables and investment spending

50

60

70

80

90

100

110

-25%

-20%

-15%

-10%

-5%

0%

5%

10%

15%

20%

1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009

Con

sum

er S

entim

ent I

ndex

, 196

6 =

100

% c

hang

e fro

m fo

ur q

uarte

rs e

arlie

r

DurablesInvestmentUM Consumer Sentiment Index

Real GDP growth and unemployment

0

2

4

6

8

10

-6

-4

-2

0

2

4

6

8

10

12

1995 1997 1999 2001 2003 2005 2007 2009 2011

% o

f lab

or fo

rce

% c

hang

e fro

m 4

qua

rters

ear

lier

Real GDP growth rate (left scale)Unemployment rate (right scale)

C H A P T E R S U M M A R Y

1. IS-LM model

§ a theory of aggregate demand§ exogenous: M, G, T,

P exogenous in short run, Y in long run § endogenous: r,

Y endogenous in short run, P in long run § IS curve: goods market equilibrium§ LM curve: money market equilibrium

55

C H A P T E R S U M M A R Y

2. AD curve

§ shows relation between P and the IS-LM model’s equilibrium Y.

§ negative slope because hP g i(M/P) g hr g iI g iY

§ expansionary fiscal policy shifts IS curve right, raises income, and shifts AD curve right.

§ expansionary monetary policy shifts LM curve right, raises income, and shifts AD curve right.

§ IS or LM shocks shift the AD curve.

56