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Professor Yamin Ahmad, Business Cycles – ECON 402
Professor Yamin Ahmad, Business Cycles – ECON 402
Big Concepts in this lecture…
lecture
Business
B
i
C
Cycles
l
Econ 402
Professor Yamin Ahmad
ƒ The Economyy at Full Employment
p y
ƒ the IS curve, and its relation to
ƒ the Keynesian
y
cross
ƒ the loanable funds model
ƒ the LM curve,, and its relation to
ƒ the theory of liquidity preference
ƒ how
o tthe
e IS-LM
S
model
ode dete
determines
es income
co e a
and
d tthe
e
Lecture 3: The IS/LM Model
ƒ Goods Market Equilibrium
(IS Curve)
ƒ Money Market/Asset
interest rate in the short run when P is fixed
Market Equilibrium (LM
Curve))
Note: These lecture notes are incomplete without having attended lectures
Professor Yamin Ahmad, Business Cycles – ECON 402
Professor Yamin Ahmad, Business Cycles – ECON 402
The Big Picture
Keynesian
Cross
Theory
y of
Liquidity
Preference
Context
ƒ Recall that in Macro, we break up our economy into the
IS
curve
LM
curve
1
short run and the long run
IS-LM
model
Agg
Agg.
demand
curve
Agg.
supply
curve
Note: These lecture notes are incomplete without having attended lectures
Business
Cycle
fluctuations
Model of
Agg.
gg
Demand
and Agg.
pp y
Supply
ƒ Long run
ƒ prices flexible
ƒ output determined by factors of production & technology
ƒ unemployment
l
t equals
l it
its natural
t l rate
t
ƒ Short run
ƒ prices fixed
ƒ output determined by aggregate demand
ƒ unemployment negatively related to output
2
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3
Professor Yamin Ahmad, Business Cycles – ECON 402
Professor Yamin Ahmad, Business Cycles – ECON 402
Aggregate Supply in the long run
Economy at Full Employment
ƒ In the long run, output is determined by factor supplies
ƒ In the long run, output is determined by the
and technology
supply side:
ƒ supplies
pp
of capital,
p , labor
ƒ technology.
Y = F (K , L , Z )
Y
ƒ Changes in demand for goods & services
(C, I, G ) only affect prices
prices, not quantities
quantities.
“Full employment” means that
unemployment equals its natural rate (not zero).
4
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Professor Yamin Ahmad, Business Cycles – ECON 402
Note: These lecture notes are incomplete without having attended lectures
5
Professor Yamin Ahmad, Business Cycles – ECON 402
The long
long-run
run aggregate supply curve
P
Y does not
depend on P
or r, so LRAS
is vertical in
both (P,Y)
and (r,Y)
spaces
is the full-employment or natural level of output, the
p at which the economy’s
y resources are
level of output
fully employed.
LRAS
Factors that Shift the LRAS/FE curve
ƒ Since the full employment level of output is
determined by resources in the economy,
g in those resources will shift the FE line,
changes
i.e.:
r
Y = F (K , L , Z )
ƒ Changes in capital
ƒ Changes in full employment
ƒ Note: The LRAS is what
Abel & Bernanke call
the FE line!
ƒ Changes in technology
Y = F (K , L , Z )
Note: These lecture notes are incomplete without having attended lectures
Y = F (K , L , Z )
Y
Y
6
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7
Professor Yamin Ahmad, Business Cycles – ECON 402
Professor Yamin Ahmad, Business Cycles – ECON 402
Recall: The Keynesian Cross
Elements of the Keynesian Cross
ƒ A simple closed economy model in which income
is determined by expenditure.
(due to J.M. Keynes)
C = C (Y − T )
Govt policy variables:
G = G , T =T
for now
now, planned
Investment is exogenous:
ƒ Notation:
I = planned investment
AE = C + I + G = planned expenditure
Y = real GDP = actual expenditure
planned expenditure:
ƒ Difference between actual & planned expenditure
p
inventory
y investment
= unplanned
8
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Consumption function:
Professor Yamin Ahmad, Business Cycles – ECON 402
I =I
AE = C (Y − T ) + I + G
Y = AE
equilibrium condition:
actual expenditure = planned expenditure
9
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Professor Yamin Ahmad, Business Cycles – ECON 402
Graphing planned expenditure
Graphing the equilibrium condition
AE
AE
p
planned
expenditure
planned
p
expenditure
AE
=Y
AE =C +I +G
MPC
1
45º
income, output, Y
Note: These lecture notes are incomplete without having attended lectures
income, output, Y
10
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11
Professor Yamin Ahmad, Business Cycles – ECON 402
Professor Yamin Ahmad, Business Cycles – ECON 402
The equilibrium value of income
An increase in government purchases
AE
AE
AE
=Y
p
planned
expenditure
AE =C +I +G
At Y1,
there is now an
unplanned drop
i iinventory…
in
t
AE =C +I +G2
AE =C +I +G1
ΔG
…so firms
increase output,
and
d iincome
rises toward a
new equilibrium.
income, output, Y
Equilibrium
income
Note: These lecture notes are incomplete without having attended lectures
12
Professor Yamin Ahmad, Business Cycles – ECON 402
Y = C + I + G
equilibrium condition
ΔY = ΔC + ΔI + ΔG
in changes
ΔC
+ ΔG
= MPC × ΔY + ΔG
Collect terms with ΔY
on the left side of the
equals sign:
(1 − MPC) × ΔY = ΔG
AE1 =
Y1
ΔY
AE2 =
Y2
Note: These lecture notes are incomplete without having attended lectures
13
Professor Yamin Ahmad, Business Cycles – ECON 402
Solving for ΔY
=
Y
The government purchases multiplier
Definition: the increase in income resulting from a
$1 increase in G.
G
because I exogenous
In this model, the govt
purchases
h
multiplier
lti li equals
l
because ΔC = MPC ΔY
Example: Iff MPC
C = 0.8, then
Solve for ΔY :
⎛
⎞
1
ΔY = ⎜
⎟ × ΔG
1
−
MPC
⎝
⎠
Note: These lecture notes are incomplete without having attended lectures
ΔY
1
=
ΔG
1 − MPC
14
ΔY
1
=
= 5
ΔG
1 − 0.8
An increase in G
causes income
i
tto
increase 5 times
as much!
Note: These lecture notes are incomplete without having attended lectures
15
Professor Yamin Ahmad, Business Cycles – ECON 402
Professor Yamin Ahmad, Business Cycles – ECON 402
An increase in taxes
Why the multiplier is greater than 1
ƒ Initially, the increase in G causes an equal increase
in Y:
ΔY = ΔG.
ƒ But ↑Y ⇒ ↑C
⇒ further ↑Y
AE =C2 +I +G
At Y1, there is now
an unplanned
inventory buildup…
…so firms
educe output,
reduce
and income falls
toward a new
equilibrium
⇒ further ↑Y
ƒ So the final impact on income is much bigger than
the initial ΔG.
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16
Professor Yamin Ahmad, Business Cycles – ECON 402
Y
AE2 =
Y2
ΔY
AE1 =
Y1
Note: These lecture notes are incomplete without having attended lectures
17
Professor Yamin Ahmad, Business Cycles – ECON 402
Solving for ΔY
The tax multiplier
eq’m condition in
changes
g
ΔY = ΔC + ΔI + ΔG
Def: the change in income resulting from
a $1 increase in T :
I and G exogenous
= ΔC
= MPC × ( ΔY − ΔT
Final result:
AE =C1 +I +G
ΔC = −MPC ΔT
⇒ further ↑C
↑
S l i ffor ΔY :
Solving
AE
Initially,
y the tax
increase reduces
consumption, and
therefore E:
ΔY
ΔT
)
(1 − MPC) × ΔY = − MPC × ΔT
Note: These lecture notes are incomplete without having attended lectures
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− MPC
1 − MPC
If MPC = 0.8, then the tax multiplier equals
ΔY
ΔT
⎛ − MPC ⎞
ΔY = ⎜
⎟ × ΔT
⎝ 1 − MPC ⎠
=
=
− 0.8
− 0.8
=
= −4
1 − 0.8
0.2
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19
Professor Yamin Ahmad, Business Cycles – ECON 402
Professor Yamin Ahmad, Business Cycles – ECON 402
The tax multiplier
Walkthrough Example I:
…is negative:
A tax
t increase
i
reduces
d
C
C,
which reduces income.
Economic Scenario:
In the Keynesian Cross, assume that the consumption function is
given by:
C = 475 + 0
0.75(Y
75(Y-T)
T)
Planned Investment, I = 150, G = 250, T = 100.
…is
is greater than one
(in absolute value):
g in taxes has a
A change
multiplier effect on income.
a. Graph planned expenditure as a function of income
b. What is the equilibrium level of income
…is smaller than the g
govt spending
p
g multiplier:
p
Consumers save the fraction (1 – MPC) of a tax cut,
so the initial boost in spending from a tax cut is
smaller
ll th
than ffrom an equall iincrease iin G.
G
Note: These lecture notes are incomplete without having attended lectures
c. If government purchases increase by 125, what is the new
equilibrium income?
d What level of government purchases is needed to achieve an
d.
income of 2600?
20
Professor Yamin Ahmad, Business Cycles – ECON 402
Professor Yamin Ahmad, Business Cycles – ECON 402
The IS curve
Deriving the IS curve
AE =Y AE =C +I (r )+G
2
AE
Def: a graph of all combinations of r and Y that
result in goods market equilibrium
↓r
⇒ ↑Y
The equation for the IS curve is:
AE =C +I (r1 )+
) G
⇒ ↑I
⇒ ↑AE
i.e. actual expenditure (output)
= planned expenditure
ΔI
r
Y1
Y
Y2
r1
Y = C (Y − T ) + I (r ) + G
r2
IS
Y1
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Note: These lecture notes are incomplete without having attended lectures
22
Y2
Note: These lecture notes are incomplete without having attended lectures
Y
23
Professor Yamin Ahmad, Business Cycles – ECON 402
Professor Yamin Ahmad, Business Cycles – ECON 402
Why the IS curve is negatively sloped
ƒ A fall in the interest rate motivates firms to
Market For Loanable Funds – Closed Economy
Define Sp≡Y
Y-T-C(Y-T,
T C(Y T, r)
increase investment spending, which drives up
planned spending
p
g ((AE )).
total p
and Sg ≡T
T-G
G
(+) (-)
⇒S ≡ Sp + Sg = Y – C(Y-T)
C(Y T) – G = S(Y; G
G, T
T, r)
(+) (-) (+) (+)
ƒ To
T restore
t
equilibrium
ilib i
iin th
the goods
d market,
k t
Capital Markets Equilibrium: S(Y;G,T) = I(r)
((-))
(Loanable Funds)
Or Equivalently: Y = Yd ≡ C(Y-T) + I(r) + G
output (a.k.a. actual expenditure, Y )
must increase.
increase
24
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Professor Yamin Ahmad, Business Cycles – ECON 402
(a) The L.F. model
S2
(b) The IS curve
S1
r2
r1
r1
S, I
Note: These lecture notes are incomplete without having attended lectures
Algebra Of The IS Curve
Suppose
pp
C = c0 + c1((Y-T)) and I = I0 – br
r
r2
I (r )
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Professor Yamin Ahmad, Business Cycles – ECON 402
The IS curve and the loanable funds model
r
Note: These lecture notes are incomplete without having attended lectures
(Note: We could also consider the effect of sales or the
business cycle on Investment by incorporating Y, i.e.
I=b0+b1Y-b2r)
Then Y= C + I + G
= c0 + I0 + G + c1(Y-T) – br
If we collect like terms:
IS
Y2
Y1
Y
26
Y=
c0 + I 0 + G − c1T
b
−
r
1 − c1
1 − c1
Note: These lecture notes are incomplete without having attended lectures
27
Professor Yamin Ahmad, Business Cycles – ECON 402
Professor Yamin Ahmad, Business Cycles – ECON 402
Fiscal Policy and the IS curve
Slope of the IS curve
Y=
c0 + I 0 + G − c1T
b
−
r
1 − c1
1 − c1
ƒ We can use the IS
IS-LM
LM model to see
how fiscal policy (G and T ) affects
gg g
demand and output.
p
aggregate
Hold everything except Y and r fixed:
ΔY =
−b
Δr
1 − c1
⇒
Δr c1 − 1
=
<0
ΔY
b
ƒ Let’s
L t’ start
t t by
b using
i th
the K
Keynesian
i cross
Thus IS is relatively flat if either:
to see how fiscal policy shifts the IS curve…
(i) b is very large; or
(ii) c close to unity.
28
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Professor Yamin Ahmad, Business Cycles – ECON 402
29
Professor Yamin Ahmad, Business Cycles – ECON 402
Shifting the IS curve: ΔG
At any value of r,
Note: These lecture notes are incomplete without having attended lectures
AE =Y AE =C +I (r )+G
1
2
AE
Factors That Shift the IS Curve
AE =C +I (r1 )+
) G1
↑ ⇒ ↑AE
↑G
↑
⇒ ↑Y
↑
…so the IS curve
shifts to the right.
right
The horizontal
distance of the
IS shift equals
ΔY =
r
Y1
Y
Y2
r1
ΔY
1
ΔG
1−MPC
Y1
IS1
Y2
Note: These lecture notes are incomplete without having attended lectures
IS2
Y
30
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31
Professor Yamin Ahmad, Business Cycles – ECON 402
Professor Yamin Ahmad, Business Cycles – ECON 402
The Theory of Liquidity Preference
Money supply
r
ƒ Due to John Maynard Keynes.
ƒ A simple theory in which the interest rate is determined
b money supply
by
l and
d money d
demand.
d
The supply of
real money
balances
is fixed:
(M
ƒ Money
M
supply
l iis exogenous – determined
d t
i db
by F
Fed!
d!
interest
rate
s
32
r
interest
rate
(M
Equilibrium
P)
s
The interest
rate adjusts
to equate the
supply and
demand for
money:
ƒ Demand for
real money
balances:
P)
d
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Professor Yamin Ahmad, Business Cycles – ECON 402
ƒ Moneyy
ƒ Bonds
(M
M/P
real money
balances
Note: These lecture notes are incomplete without having attended lectures
Money demand
either hold:
s
M P
Professor Yamin Ahmad, Business Cycles – ECON 402
ƒ People
P)
P) =M P
ƒ People hold wealth in the form of either:
ƒ Money
Demand for money and demand for
bonds!
ƒ Bonds
Note: These lecture notes are incomplete without having attended lectures
(M
L (r )
= L (r )
Note: These lecture notes are incomplete without having attended lectures
M P
r
interest
rate
P)
s
r1
L (r )
M P = L (r )
M/P
M P
real money
balances
34
(M
Note: These lecture notes are incomplete without having attended lectures
M/P
real money
balances
35
Professor Yamin Ahmad, Business Cycles – ECON 402
Professor Yamin Ahmad, Business Cycles – ECON 402
The LM curve
How the Fed raises the interest rate
r
To increase r,
Fed reduces M
Now let’s p
put Y back into the moneyy demand function:
interest
rate
(M
r2
r1
L (r )
M2
P
M1
P
Note: These lecture notes are incomplete without having attended lectures
M P = L (r ,Y )
37
Note: These lecture notes are incomplete without having attended lectures
Professor Yamin Ahmad, Business Cycles – ECON 402
Deriving the LM curve
Nominal or Real Rates in Money Demand?
(a) The market for
⎞d
⎛
Money Market Equilibrium: M = ⎜⎜⎜ M ⎟⎟⎟ = L(i,Y )
(-)(+)
P ⎝P⎠
What is real return to saving $1?
1+ i
1+ r =
1+ π
= L (r ,Y )
The equation for the LM curve is:
M/P
Professor Yamin Ahmad, Business Cycles – ECON 402
d
The LM curve is a graph of all combinations of r and
Y that equate
q
the supply
pp y and demand for real money
y
balances.
real money
balances
36
P)
⇒
r
(b) The LM curve
r
LM
r +π ≈ i
r2
This is known as the Fisher Equation.
r2
L (r , Y2 )
r1
r1
L (r , Y1 )
M
So:
= L(r + π , Y )
P
M1
P
Treat Ms as exogenous; for present set π = 0.
Note: These lecture notes are incomplete without having attended lectures
real money balances
38
M/P
Note: These lecture notes are incomplete without having attended lectures
Y1
Y2
Y
39
Professor Yamin Ahmad, Business Cycles – ECON 402
Professor Yamin Ahmad, Business Cycles – ECON 402
Equilibrium in the Bond Market?
Why the LM curve is upward sloping
ƒ An increase in income raises moneyy demand.
ƒ Since the supply of real balances is fixed
fixed, there is now
There are two assets ((money
y and bonds),
), but onlyy one
equilibrium condition. Do we need to worry about bond
market equilibrium as well? Answer: No!
d
Ms + Bs = A = ⎛⎜ M ⎞⎟ + Bd
⎜
⎟
⎜ P ⎟
P
⎝
⎠
excess demand in the money market at the initial interest
rate.
with A = real wealth.
ƒ The interest rate must rise to restore equilibrium in the
So :
money market.
d
Ms = ⎛⎜ M ⎞⎟ ⇔ Bs = Bd
⎜
⎟
P ⎜⎝ P ⎟⎠
Thi is
This
i an example
l off Walras
W l Law.
L
Note: These lecture notes are incomplete without having attended lectures
40
Professor Yamin Ahmad, Business Cycles – ECON 402
Professor Yamin Ahmad, Business Cycles – ECON 402
How ΔM shifts the LM curve
Algebra of the LM Curve
Write:
⎛
⎜
⎜
⎜
⎝
⎞d
(a) The market for
M ⎟ = m + kY − hr
⎟
0
P ⎟⎠
r
With M and P fixed: 0 = kΔY - h Δr
Slope of LM Curve :
real money balances
(b) The LM curve
r
LM2
LM1
Δr k
= >0
ΔY h
r2
r2
r1
LM curve relativelyy flat if either:
(i) k small; or
(ii) h large ( “ Liquidity Trap”)
Trap )
Note: These lecture notes are incomplete without having attended lectures
41
Note: These lecture notes are incomplete without having attended lectures
L (r , Y1 )
M2
P
42
M1
P
r1
M/P
Note: These lecture notes are incomplete without having attended lectures
Y1
Y
43
Professor Yamin Ahmad, Business Cycles – ECON 402
Professor Yamin Ahmad, Business Cycles – ECON 402
Walkthrough Example II:
Shift iin LM curve ((r fi
Shifts
fixed)
d)
Economic Scenario:
ΔM = kΔY ⇒ ΔY = 1
ΔM
P
ΔM Pk
Suppose that the money demand function is:
(M/P)d = 1000 – 100r
where r is the interest rate (in percent). The money supply M is
1000, and the price level is 2.
What happens if k = 0?
Hold Y fixed:
a. Graph the supply and demand for real money balances
a
balances.
b. What is the equilibrium interest rate?
c. Assume that the pprice level is fixed. What happens
pp
to the
ΔM = −hΔr ⇒ Δr = − 1
P
ΔM
Ph
equilibrium interest rate if the supply of money is raised from 1000
to 1200?
ƒ So vertical shift is independent of k
d. If the Fed wishes to raise the interest rate to 7 percent, what
money supply should it set?
Note: These lecture notes are incomplete without having attended lectures
44
Professor Yamin Ahmad, Business Cycles – ECON 402
Professor Yamin Ahmad, Business Cycles – ECON 402
Factors that Shift the LM Curve
Macroeconomic equilibrium
The long run equilibrium is
the combination of r and Y
that simultaneously satisfies
the equilibrium
q
conditions in
the goods & money markets,
consistent with the full
employment level of output:
r
Y = C (Y − T ) + I (r ) + G
M P = L (r ,Y )
Y = F (K , L , Z )
Note: These lecture notes are incomplete without having attended lectures
45
Note: These lecture notes are incomplete without having attended lectures
46
Equilibrium
interest
rate
Note: These lecture notes are incomplete without having attended lectures
LM
IS
Y = F (K , L , Z )
Equilibrium
q
level of
income
Y
47
Professor Yamin Ahmad, Business Cycles – ECON 402
Professor Yamin Ahmad, Business Cycles – ECON 402
Equilibrium With Fixed Prices
Equilibrium in the IS
IS-LM
LM Model
r
IS Curve
LM
⎛
⎜
⎜
⎜
⎜
⎜
⎜
⎝
c + I + G − c T br
1 −
S (Y ;G,T ) = I (r) or Y = 0 0
((+)(-)(+)
)( )( )
1− c
1− c
1
1
⎞
⎟
⎟
⎟
⎟
⎟
⎟
⎠
Equilibrium
interest rate
LM Curve
M = L(r,Y )
P
(-)(+)
(or M = m + kY − hr)
0
P
IS
Equilibrium
level of
income
Solve for Y and r in terms of G,T, M and P.
Y
Income and Output
Note: These lecture notes are incomplete without having attended lectures
48
Professor Yamin Ahmad, Business Cycles – ECON 402
Note: These lecture notes are incomplete without having attended lectures
49
Professor Yamin Ahmad, Business Cycles – ECON 402
Convergence to Equilibrium
Practice Question
ƒ Is there any reason to expect it to converge to this equilibrium
from arbitrary r and Y?
ƒ If there is an excess demand for moneyy ((excess supply
pp y of
ƒ Consider the following IS-LM model:
ƒ C=200+0.25YD
ƒ I = 150 +0.25Y – 1000i
ƒ G = 250; T = 200
ƒ ⎛⎜⎝ MP ⎞⎟⎠ = 2Y − 8000i
ƒ M = 1600
P
a Derive the IS equation
a.
b. Derive the LM equation
d
bonds) this should drive the return on bonds up, and vice
versa.
ƒ If savings exceeds planned investment, then consumers must
be spending less and producers will be accumulating
unwanted inventories. So they will cut back production, and
vice versa
versa.
c. Solve for equilibrium output
d. Solve for the equilibrium value of the real interest rate
e. Solve for the equilibrium values of C and I and verify the value that you
ƒ Hence the system should converge.
Note: These lecture notes are incomplete without having attended lectures
obtained for Y by adding up C
C, I and G
50
Note: These lecture notes are incomplete without having attended lectures
51
Professor Yamin Ahmad, Business Cycles – ECON 402
Professor Yamin Ahmad, Business Cycles – ECON 402
General Equilibrium
General Equilibrium
Applying
pp y g the IS-LM framework: A temporary
p
y adverse
supply shock
ƒ Suppose the productivity parameter in the production
f
function
falls
f
temporarily
ƒ The supply shock reduces the marginal productivity of
ƒ Since the FE, IS, and LM curves don’t intersect
intersect, the
price level adjusts, shifting the LM curve until a
general equilibrium
g
q
is reached
labor, hence labor demand
ƒ With lower labor demand, the equilibrium
q
real wage
g and
employment fall
ƒ Lower employment and lower productivity both reduce the
equilibrium level of output, thus shifting the FE line to the left
Note: These lecture notes are incomplete without having attended lectures
Applying
pp y g the IS-LM framework: A temporary
p
y adverse
supply shock
ƒ There’s no effect of a temporary supply shock on the
IS
S or LM curves
52
Professor Yamin Ahmad, Business Cycles – ECON 402
ƒ In this case the price level rises to shift the LM curve up and
to the left to restore equilibrium
Note: These lecture notes are incomplete without having attended lectures
53
Professor Yamin Ahmad, Business Cycles – ECON 402
Effects of a temporary adverse supply shock
General Equilibrium
Applying
pp y g the IS-LM framework: A temporary
p
y adverse
supply shock
ƒ The inflation rate rises temporarily, not permanently
ƒ Summary: The real wage, employment, and output
decline, while the real interest rate and price level are
higher
ƒ There is a temporary burst of inflation as the price level
moves to a higher level
ƒ Since the real interest rate is higher and output is lower,
consumption and investment must be lower
Note: These lecture notes are incomplete without having attended lectures
54
Note: These lecture notes are incomplete without having attended lectures
55
Professor Yamin Ahmad, Business Cycles – ECON 402
Professor Yamin Ahmad, Business Cycles – ECON 402
General Equilibrium
General Equilibrium
Application:
pp
Oil p
price shocks revisited
ƒ Does the IS-LM model correctly predict the results of
an adverse supply shock?
ƒ The data from the 1973–1974 and 1979–1980 oil
price shocks shows the following
ƒ Output,
Output employment
employment, and the real wage declined
ƒ It could be that people expected the 1973–1974 oil price
p
shock to be permanent
ƒ In that case the real interest rate would not necessarily rise
ƒ Consumption fell slightly and investment fell substantially
ƒ If so, people’s expectations were correct, since the 1973–
1974 shock seems to have been permanent, while the 1979–
1980 shock
h k was reversed
d quickly
i kl
ƒ Inflation surged temporarily
ƒ All the above results are consistent with the theory
Note: These lecture notes are incomplete without having attended lectures
Application:
pp
Oil p
price shocks revisited
ƒ The real interest rate did not rise during the 1973–
1974 oil price shock (though it did during the 1979–
1980 shock))
56
Professor Yamin Ahmad, Business Cycles – ECON 402
Note: These lecture notes are incomplete without having attended lectures
57
Professor Yamin Ahmad, Business Cycles – ECON 402
General Equilibrium
General Equilibrium
Econometric models and macroeconomic forecasts
ƒ The Federal Reserve Board’s FRB/US model, introduced in
Econometric models and macroeconomic forecasts
ƒ Many models that are used for macroeconomic research and
1996, improves on the old model by better handling of
expectations, improved modeling of reactions to shocks, and use
off newer statistical
t ti ti l techniques
t h i
analysis are based on the IS-LM model
ƒ There are three major steps in using an economic model for
forecasting
ƒ An econometric model estimates the parameters of the
model
d l ((slopes,
l
iintercepts,
t
t elasticities)
l ti iti ) through
th
h statistical
t ti ti l
analysis of the data
ƒ The FRB/US model is the workhorse for policy analysis by the
ƒ Projections are made of exogenous variables (variables
outside
id the
h model),
d l) lik
like oilil prices
i
and
d changes
h
iin productivity
d i i
ƒ Board of Governor’s staff adjust the FRB/US forecasts with their
Fed’s staff economists
ƒ The model is solved for the values of endogenous variables,
such as output, employment, and interest rates
Note: These lecture notes are incomplete without having attended lectures
58
judgment; the subsequent forecasts reported in the Greenbook
have been found to be superior to private-sector forecasts
Note: These lecture notes are incomplete without having attended lectures
59
Professor Yamin Ahmad, Business Cycles – ECON 402
Professor Yamin Ahmad, Business Cycles – ECON 402
Price Adjustment and the Attainment of
General Equilibrium
Price Adjustment and the Attainment of
General Equilibrium
The effects of a monetary
y expansion
p
ƒ An increase in money supply shifts the LM curve down and to
the right
ƒ Because financial markets respond most quickly to changes in
economic conditions, the asset market responds to the
disequilibrium
ƒ The decline in the real interest rate causes consumption and
p
y
investment to increase temporarily
ƒ Th
The FE line
li iis slow
l
tto respond,
d b
because jjob
b matching
t hi and
d
wage renegotiation take time
ƒ Output is assumed to increase temporarily to meet the extra
demand
ƒ The IS curve responds somewhat slowly
ƒ We assume that the labor market is temporarily out of
equilibrium, so there’s a short-run equilibrium at the
intersection of the IS and LM curves
Note: These lecture notes are incomplete without having attended lectures
The effects of a monetary
y expansion
p
ƒ The increase in the money supply causes people to
try to get rid of excess money balances by buying
assets, driving the real interest rate down
60
Professor Yamin Ahmad, Business Cycles – ECON 402
Note: These lecture notes are incomplete without having attended lectures
61
Professor Yamin Ahmad, Business Cycles – ECON 402
Price Adjustment and the Attainment of
General Equilibrium
Effects of a monetary expansion
The effects of a monetary
y expansion
p
ƒ The adjustment of the price level
ƒ Since the demand for goods exceeds firms’ desired supply of
goods,
d fi
firms raise
i prices
i
ƒ The rise in the p
price level causes the LM curve to shift up
p
ƒ The price level continues to rise until the LM curve intersects
with the FE line and the IS curve at general
Note: These lecture notes are incomplete without having attended lectures
62
Note: These lecture notes are incomplete without having attended lectures
63
Professor Yamin Ahmad, Business Cycles – ECON 402
Professor Yamin Ahmad, Business Cycles – ECON 402
Price Adjustment and the Attainment of
General Equilibrium
Price Adjustment and the Attainment of
General Equilibrium
The effects of a monetary
y expansion
p
ƒ The result is no change in employment, output, or the
real interest rate
ƒ Trend money growth and inflation
ƒ This analysis also handles the case in which the money
supply is growing continuously
ƒ The price level is higher by the same proportion as
the increase in the money supply
ƒ If both the money supply and price level rise by the same
proportion, there is no change in the real money supply, and
the LM curve doesn’t
doesn t shift
ƒ So all real variables (including the real wage) are
unchanged, while nominal values (including the
nominal wage) have risen proportionately with the
change in the money supply
Note: These lecture notes are incomplete without having attended lectures
The effects of a monetary
y expansion
p
ƒ If the money supply grew faster than the price level, the LM
curve would
ld shift
hift d
down and
d tto th
the right
i ht
64
Note: These lecture notes are incomplete without having attended lectures
65
Professor Yamin Ahmad, Business Cycles – ECON 402
Professor Yamin Ahmad, Business Cycles – ECON 402
Price Adjustment and the Attainment of
General Equilibrium
Price Adjustment and the Attainment of
General Equilibrium
The effects of a monetary
y expansion
p
Classical versus Keynesian
y
versions of the IS-LM model
ƒ Trend money growth and inflation
ƒ There are two key questions in the debate between
classical and Keynesian approaches:
ƒ Often, then, we’ll discuss things in relative terms
– The examples can often be thought of as a change in M
or P relative to the expected or trend growth of money
and inflation
– Thus when we talk about “an increase in the money
supply,” we have in mind an increase in the growth rate
supply,
relative to the trend
– Similarly, a result that the price level declines can be
interpreted as the price level declining relative to a trend;
for example, inflation may fall from 7% to 4%
Note: These lecture notes are incomplete without having attended lectures
66
ƒ How rapidly does the economy reach general
equilibrium?
ƒ What are the effects of monetary policy on the
y
economy?
67
Professor Yamin Ahmad, Business Cycles – ECON 402
Professor Yamin Ahmad, Business Cycles – ECON 402
Price Adjustment and the Attainment of
General Equilibrium
Price Adjustment and the Attainment of
General Equilibrium
Classical versus Keynesian
y
versions of the IS-LM model
Classical versus Keynesian
y
versions of the IS-LM model
ƒ Price adjustment and the self-correcting economy
ƒ Classical economists see rapid adjustment of the
ƒ The economy is brought into general equilibrium
by adjustment of the price level
ƒ The
Th speed
d att which
hi h thi
this adjustment
dj t
t occurs iis much
h
debated
price level
ƒ So the economy returns quickly to full employment
after a shock
ƒ If firms change prices instead of output in response
to a change in demand, the adjustment process is
almost immediate
68
69
Professor Yamin Ahmad, Business Cycles – ECON 402
Professor Yamin Ahmad, Business Cycles – ECON 402
Price Adjustment and the Attainment of
General Equilibrium
Price Adjustment and the Attainment of
General Equilibrium
Classical versus Keynesian
y
versions of the IS-LM model
Classical versus Keynesian
y
versions of the IS-LM model
ƒ Keynesian economists see slow adjustment of the
ƒ Monetary neutrality
price level
ƒ It may be several years before prices and wages
adjust fully
ƒ When not in general equilibrium, output is
determined by aggregate demand at the
intersection of the IS and LM curves, and the labor
market is not in equilibrium
70
ƒ Money is neutral if a change in the nominal money
supply changes the price level proportionately but
has no effect on real variables
ƒ The classical view is that a monetary expansion
affects prices quickly with at most a transitory
effect on real variables
71
Professor Yamin Ahmad, Business Cycles – ECON 402
Professor Yamin Ahmad, Business Cycles – ECON 402
Price Adjustment and the Attainment of
General Equilibrium
Back to The Big Picture
Keynesian
Cross
Classical versus Keynesian
y
versions of the IS-LM model
ƒ Monetary neutrality
ƒ Keynesians think the economy may spend a long
time in disequilibrium, so a monetary expansion
increases output and employment and causes the
real interest rate to fall
ƒ Keynesians believe in monetary neutrality in the
long run but not the short run, while classicals
believe it holds even in the relatively short run
72
Theoryy of
Liquidity
Preference
IS
curve
LM
curve
IS-LM
model
Agg
Agg.
demand
curve
Agg.
supply
curve
Business
Cycle
fluctuations
Model of
Agg.
gg
Demand
and Agg.
Supply
pp y
Note: These lecture notes are incomplete without having attended lectures
Summary
73
Summary
1. Keynesian cross
3. Theory of Liquidity Preference
ƒ basic model of income determination
ƒ basic model of interest rate determination
ƒ takes fiscal policy & investment as exogenous
ƒ takes money supply & price level as exogenous
ƒ fiscal policy has a multiplier effect on income.
ƒ an increase in the money supply lowers the interest
rate
2. IS curve
4. LM curve
ƒ comes from Keynesian cross when planned
ƒ comes from liquidity preference theory when
investment depends negatively on interest rate
ƒ shows
h
allll combinations
bi ti
off r and
dY
that equate planned expenditure with
actual expenditure on goods & services
money demand depends positively on income
ƒ shows all combinations of r and Y that equate
demand for real money balances with supply
slide 74
slide 75
Summary
5. IS-LM model
ƒ Intersection of IS and LM curves shows the unique
point (Y, r ) that satisfies equilibrium in both the
goods and money markets.
slide 76
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