Chapter Eleven
1
CHAPTER 12
Aggregate Demand II:
Applying the IS-LM Model
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Chapter Eleven
2
Now that we’ve assembled the
IS-LM model of aggregate
demand, let’s apply it to three issues:
1) Causes of fluctuations in national income
2) How IS-LM fits into the
model of aggregate supply and aggregate demand in Chapter 10
3) The Great Depression
Now that we’ve assembled the IS-LM model of aggregate
demand, let’s apply it to three issues:
1) Causes of fluctuations in national income
2) How IS-LM fits into the
model of aggregate supply and aggregate demand in Chapter 10
3) The Great Depression r
Y
LM(P0) IS
r0
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3
IS-L M
The intersection of the IS curve and the LM curve determines the level of national income, and the interest rate for a given price level. If the
IS or LM curve shifts, the short-run equilibrium of the economy changes, and national income fluctuates. Let’s examine how changes in policy
Chapter Eleven
4
IS LM
r
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5
LM r
Y IS
A
+
G
Consider an increase in government purchases.This will raise the level of income by G/(1- MPC)
IS´
B
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LM r
Y IS
A
-
T
Consider a decrease in taxes of T. This will raise the level of income byT × MPC/(1- MPC)
IS´
B
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IS LM
r
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8
IS r
Y LM A LM
B
+
M
Consider an increase in the money supply.The LM curve shifts downward and lowers the interest rate which raises
income. Why? Because when the Fed increases the supply of money, people have more money than they want to hold at the prevailing interest rate. As a result, they start depositing this extra money in banks or use it to buy bonds. The interest rate r then falls until people are willing to hold all the extra
money that the Fed has created; this brings the money market to a new
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The IS-LM model shows that monetary policy influences income by changing the interest rate. This conclusion sheds light on our analysis of monetary policy in Chapter 9. In that chapter we showed that in the short run, when prices are sticky, an expansion in the money supply raises income. But we didn’t discuss how a monetary
expansion induces greater spending on goods and services—a process called the monetary transmission mechanism.
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The IS-LM model shows how monetary and fiscal policy influence the equilibrium level of income. The predictions of the model,
however, are qualitative, not quantitative. The IS-LM model that
shows that increases in government purchases raise GDP and that
increases in taxes lower GDP. But, when economists analyze specific policy proposals, they must know the direction and size of the effect. Macroeconometric models describe the economy quantitatively,
Chapter Eleven
Chapter Eleven
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You probably noticed from the IS and LM diagrams that r and Y were on the two axes. Now we’re going to bring a third variable, the price level
(P) into the analysis. We can accomplish this by linking both two-dimensional graphs.
r
r
P
P YY
Y
Y
IS
IS
LM(P
LM(P11))
A A A A AD AD
To derive AD, start at point A in the top
graph. Now increase the price level from P1 to P2.
An increase in P lowers the value of real money balances, and Y, shifting LM leftward to point B.
The +P triggers a sequence of events that end with a -Y, the inverse relationship that defines the downward slope of AD.
Notice that r increased. Since r increased, we know that investment will decrease, as it just got more costly to take on various investment projects. This sets off a multiplier process since -I causes a –Y. The - Y triggers -C as we move up the IS curve.
LM(P
LM(P22))
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+
G
This translates into a rightward shift of the IS and AD curves.
LM (P
2)
Suppose there is a +G.
In the short run, we move along SRAS from point A to point B.
But as the output market clears, in the long-run, the price level will increase from P0 to P2.
This +P decreases the value of real money balances, which translates into a leftward shift of the LM curve.
Finally, this leaves us at point C in both diagrams. r P Y Y IS LM(P 0) A D P0 AD´ IS´ SRAS A A B B
P2 C C
LRAS Y = C (Y-T) + I(r) + G
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Now it’s time to determine the effects on the variables in the economy.
For the variables Y, P, and r, you can read the effects right off the diagrams.
Remember that SR is the movement from A to B.
Remember that SR is the movement from A to B.
+, because Y moved from Y* to Y´
0, because prices are sticky in the SR.
+, because a +Y leads to a rise in r
as IS slides along the LM curve.
+, because a +Y increases the level of consumption (C=C(Y-T)).
– , since r increased, the level of investment decreased. YY P P r r C C I I r P Y Y IS LM(P 0) AD P0 AD´ IS´ SRAS A A B B
P2 C
C
LRAS
*
Y Y´
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+, in order to eliminate the excess demand at P0. 0, because rising P shifts LM to left, returning
Y to Y* as required by long-run LRAS.
+, reflecting the leftward shift in LM due to +P
0, since both Y and T are back to their initial levels (C=C(Y-T))
– – , since r has risen even more due to the +P. YY P P r r C C I I
For the variables Y, P, and r, you can read the effects right off the diagrams.
Remember that LR is the movement from A to C.
Remember that LR is the movement from A to C.
r P Y Y IS LM(P 0) A D P0 AD´ IS´ SRAS A A B B
P2 C
C
LRAS
*
Y Y´
Chapter Eleven 16 LM B AD´ B
Notice that M/was increased, thus increasing the value of the real money supply which translates into a rightward shift of the LM and AD curves.
Suppose there is a +M. Look at the appropriate equation that captures the M term:
In the short run, we move along SRAS from point A to point B.
But as the output market clears, in the long run, the price level will increase from P0 to P2.
This +P decreases the value of the
real money supply which translates into a leftward shift of the LM curve.
Finally, this leaves us at point C in both diagrams.
C AD IS r P Y Y LM(P 0)
P0 A SRAS A
LRAS = C
P2
M/ P = L (r, Y)
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Now it’s time to determine the effects on the variables in the economy.
For the variables Y, P, and r, you can read the effects right off the diagrams. Remember that SR is the
movement from A to B.
+, because Y moved from Y* to Y´
0, because prices are sticky in the SR.
–, because a +Y leads to a decrease in r as LM slides along the IS curve.
+, because a +Y increases the level of consumption (C=C(Y-T)).
+ , since r increased, the level of investment decreased. YY P P r r C C I I LM B AD´ B C AD IS r P Y Y LM (P0)
P0 A SRAS A
LRAS = C
P2
(P2)
Y´
Chapter Eleven
18 +, in order to eliminate the excess demand at P0.
0, because rising P shifts LM to left, returning
Y to Y* as required by LRAS.
0, reflecting the leftward shift in LM due to +P, restoring r to its original level.
0, since both Y and T are back to their initial levels (C=C(Y-T)).
0, since Y or r has not changed.
YY P P r r C C I
For the variables Y, P, and r, you can read the effects right off the diagrams. Remember that LR is the movement from A to C.
Notice that the only LR impact of an increase in the money supply was an
increase in the price level.
LM
B
AD´ B
C = C
P2 AD IS r P Y Y
LM(P0)
P0 A SRAS A
LRAS
Y´
Chapter Eleven
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LM(P0)
1) +
1) +CCcauses the causes the IS IS curve to shift curve to shift right to
right to ISIS‘.‘.
LRAS
2) This leads to a rightward shift in
2) This leads to a rightward shift in AD AD to
to AD’.AD’.
Short Run:
Short Run:
Move from
Move from AA to B.to B.
Long Run:
Long Run:
Market clears at
Market clears at PP00 to to PP22
from
from BB to to C.C.
3) +
3) +PP causes causes LM(PLM(P00) to shift leftward ) to shift leftward to
to LM(PLM(P22) due to the lowering of the ) due to the lowering of the real value of the money supply.
real value of the money supply. r r Y Y P P Y Y IS AD IS' P0 AD' LRAS
LM(P2)
P2 C C
Y = C (Y-T) + I(r) + G
IS-L M
Chapter Eleven 21 Short Run:
Y
+
P
0
r
+
C
+
I
Long Run:0
+
++
+
--SRAS r Y P Y IS AD IS' P0 AD' LRASLM(P 2 )
P2 C C
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The spending hypothesis suggests that perhaps the cause of the decline may have been a contractionary shift of the IS curve.
The money hypothesis attempts to explain the effects of the historical
fall of the money supply of 25 percent from 1929 to 1933, during which time unemployment rose from 3.2 percent to 25.2 percent.
Some economists say that deflation worsened the Great Depression. They argue that the deflation may have turned what in 1931 was a typical economic downturn into an unprecedented period of high unemployment and depressed income. Because the falling money supply was possibly responsible for the falling price level, it could
Chapter Eleven
23 A Mankiw
Macroeconomics Case Study
A Mankiw Macroeconomics
Case Study
The Financial Crisis and the
Economic Downturn of 2008 and 2009
In 2008, the economy experienced a financial crisis, followed by
a deep recession stemming mainly from the 20% fall in housing
prices across the nation.
This had four main repercussions:
1)Rise in mortgage defaults and house foreclosures
2) Large losses at the various financial institutions that owned
Mortgage-backed securities
3) Rise in stock market volatility, which led to a decline in consumer confidence
In January 2009, President Barack Obama proposed to increase he proposed to increase government spending to stimulate AD. This is almost surely not going to prevent the economy from
Chapter Eleven
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Developments in the mortgage market led to the rise of subprime
borrowers– those borrowers with higher risk of default based on their Income and credit history– to get mortgages to buy home.
One of these developments was securitization, the process by
which one makes loans and then sells them to an investment bank which in turn bundles them together into a variety of
Chapter Eleven
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In the IS-LM model, falling prices raise income. For any given supply of money M, a lower price level implies higher real
money balances, M/P. An increase in real money balances causes an expansionary shift in the LM curve, which leads to higher
income.
Another way in which falling prices increase income is called
the Pigou effect. In the 1930s, economist Arthur Pigou pointed out that real money balances are part of household wealth. As prices fall and real money balances rise, households increase their
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There are two theories to explain how falling prices could depress income rather than raise it.
1) Debt-deflation theory, unexpected falls in the price level
2) Effects of expected inflation
Debt-deflation theory redistributes wealth between creditors and debtors. A fall in the price level raises the real amount of the debt. The impoverishment of the debtors causes them to spend less, and
creditors to spend more. If their propensities to consume are the same, there is no aggregate effect. But, if debtors reduce more than
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LM
Y IS
A IS´
B
An expected deflation (a negative value of e) raises the real interest
rate for any given nominal interest rate, and this depresses investment spending. The reduction in investment shifts the IS curve downward. The level of income and the nominal interest rate (i) fall, but the real interest rate (r) rises.
i2 r1 = i1
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Monetary transmission mechanism Pigou Effect
Debt-deflation theory
Monetary transmission mechanism Pigou Effect