
fISCAL pOLICY MULTIPLIER eFFECT
Crowding In (LIBERAL) or Crowding Out (CONSERVATIVE)?
Crowding Out compromise:
DEPENDS ON WHERE YOU START.
cROWDING IN AT b AND cROWDING OUT AT a
SPRING 2011
GAME OVER

Keynesian Macro Model
LOGICAL pATH VERSION
KEYNESIAN MACRO MODEL
ALGEBRAIC VERSION
1. AGGREGATE DEMAND FUNCTION
|
| AD = C + I + G
|
| C = CONSUMPTION SPENDING FROM HOUSEHOLD SECTOR
|
I = INVESTMENT SPENDING FROM BUSINESS SECTOR
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| G = GOVERNMENT SPENDING BY PUBLIC SECTOR
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2. CONSUMPTION FUNCTION
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C = A + B (Y - T)
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"B" = marginal propensity to consume
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T = GOVERNMENT TAXES
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(Y - T) = DISPOSABLE PERSONAL INCOME
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"A" IS AUTONOMoUS SPENDING FROM WEALTH
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3. INCOME/AGGREGATE DEMAND IDENTITY
Y = AD
ONE PERSON'S SPENDING IS ANOTHER PERSON'S INCOME

kEYNESIAN
MULTIPLIER Example:
If b = .8 then a = 1/(1-B) = 1/.2 = 5
AND DY = 5 DI OR 5 DG
SO IF DI OR DG = $100M, THEN DY = $500M
because DI OR DG spins off DC = $400M
("CROWDING IN")
CONSERVATIVE view
IF Dy = aDg and
Dy = 0 at full employment Max y*
then a = 0 for any Dg > 0
Dg > 0 CAUSES inflation which
reduces Dc < 0 AND/OR Di < 0.
Public Spending crowds out Private
and Fiscal Policy IS zERO-SUM
(Crowding Out)

Crowding Out compromise:
fISCAL pOLICY MULTIPLIER eFFECT
DEPENDS ON WHERE YOU START.
cROWDING IN AT b AND cROWDING OUT AT a
FISCAL POLICY TOOL BOX
BASIC multiplier a = 1 / (1 - b)

Example:
If b = .8 then a = 5 and -ab = -4
(tip: tax multiplier -ab IS ALWAYS 1-a,
regardless value of b )
SPECIAL CASE DG = DT
Balanced Budget Multiplier
Dy = a Dg - abDt
IF DG = DT, then Dy = a Dg - abDG
Dy = a(1-b)Dg = (1-b)/(1-b) Dg
so Dy = Dg= Dt ,
regardless of value of b

Classical Macro Model
(CONSERVATIVE) LOGICAL VERSION

CLOSING THE BACK DOOR
("Internal" Rate of Return)
keynesian investment decision
| INTEREST | ![]() |
BUSINESS | |
AGGREGATE |
| RATEs | INVESTMENT | DEMAND |
INTERNAL RATE OF RETURN
IRR = CF/ K
| Project | BOOM | RECESSION | |||
| k = cost | CF |
IRR |
CF |
IRR | |
| A | $450M | $54M |
12% |
$36M |
8% |
| B | $450M | $36M |
8% |
$18M |
4% |
| C | $450M | $18M |
4% |
$0 |
0% |
investment RULE:
Compare IRR to Market Rate R
if IRR > r, then DO it .

internal rate of return

THE HOUSING CYCLE
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