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Working Paper Series

Understanding the Effects of a Shock to
Government Purchases
Wendy Edelberg, Martin Eichenbaum and
Jonas D. M. Fisher

Working Papers Series
Research Department
(WP-98-7)

Federal Reserve Bank of Chicago

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57

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58

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5<

Iljxuh 4= Srvw Zruog Zdu LL X1V1 Ghihqvh Sxufkdvhv

Defense Spending
Billions of 1992 Dollars
450
400
350
300
250
200
150
100
1949

1959

1969

1979

1989

Share of Defense Spending in GDP
0.22
0.20
0.18
0.16
0.14
0.12
0.10
0.08
0.06
0.04
1949

1959

1969

63

1979

1989

Iljxuh 5= Uhvsrqvhv ri Jryhuqphqw Sxufkdvhv dqg Rxwsxw

Defense Spending

Government Purchases

40

17.5

35

15.0

30

12.5

25
10.0
20
7.5
15
5.0
10
2.5

5
0

0.0

-5

-2.5
0

3

6

9

12

15

0

3

Real GDP

6

9

12

15

12

15

Private GDP

5.6

4

4.8

3

4.0

2

3.2

1

2.4

0

1.6

-1

0.8

-2

0.0

-3

-0.8

-4

-1.6

-5
0

3

6

9

12

15

0

64

3

6

9

Iljxuh 6= Uhvsrqvhv ri Hpsor|phqw

Total Private

Manufacturing

12.5

12.5

10.0

10.0

7.5

7.5

5.0

5.0

2.5

2.5

0.0

0.0

-2.5

-2.5
0

3

6

9

12

15

0

Construction

3

6

9

12

15

12

15

12

15

Durable Manufacturing

12.5

12.5

10.0

10.0

7.5

7.5

5.0

5.0

2.5

2.5

0.0

0.0

-2.5

-2.5
0

3

6

9

12

15

0

Federal Government

3

6

9

Nondurable Manufacturing

12.5

12.5

10.0

10.0

7.5

7.5

5.0

5.0

2.5

2.5

0.0

0.0

-2.5

-2.5
0

3

6

9

12

15

0

65

3

6

9

Iljxuh 7= Uhvsrqvhv ri Frqvxpswlrq dqg Lqyhvwphqw

Nondurables + Services

Consumer Durables

15

15

10

10

5

5

0

0

-5

-5

-10

-10

-15

-15

-20

-20

-25

-25
0

3

6

9

12

15

0

Residential Investment

3

6

9

12

15

12

15

12

15

Nonresidential Investment

15

15

10

10

5

5

0

0

-5

-5

-10

-10

-15

-15

-20

-20

-25

-25
0

3

6

9

12

15

0

Total Consumption

3

6

9

Durables + Residential

15

15

10

10

5

5

0

0

-5

-5

-10

-10

-15

-15

-20

-20

-25

-25
0

3

6

9

12

15

0

66

3

6

9

Iljxuh 8= Uhvsrqvhv ri Glhuhqw W|shv ri Qrquhvlghqwldo Lqyhvwphqw

Nonresidential

Information Processing

20

20

15

15

10

10

5

5

0

0

-5

-5

-10

-10

-15

-15

-20

-20
0

3

6

9

12

15

0

Structures

3

6

9

12

15

12

15

12

15

Industrial Equipment

20

20

15

15

10

10

5

5

0

0

-5

-5

-10

-10

-15

-15

-20

-20
0

3

6

9

12

15

0

3

Producer Durable Equipment

6

9

Transportation

20

20

15

15

10

10

5

5

0

0

-5

-5

-10

-10

-15

-15

-20

-20
0

3

6

9

12

15

0

67

3

6

9

Iljxuh 9= Vhfwrudo Rxwsxw Uhvsrqvhv

Manufacturing IP

Consumer Goods IP

15

15

10

10

5

5

0

0

-5

-5

-10

-10

-15

-15
0

3

6

9

12

15

0

Durable Manufacturing IP

3

6

9

12

15

12

15

Durable Consumer Goods IP

15

15

10

10

5

5

0

0

-5

-5

-10

-10

-15

-15
0

3

6

9

12

15

0

Nondurable Manufacturing IP

3

6

9

Nondurable Consumer Goods IP

15

15

10

10

5

5

0

0

-5

-5

-10

-10

-15

-15
0

3

6

9

12

15

0

68

3

6

9

12

15

Iljxuh := Uhvsrqvhv ri Uhdo Oderu Frpshqvdwlrq

Compensation Private Business / CPI

Compensation Manufacturing / CPI

5

5

4

4

3

3

2

2

1

1

0

0

-1

-1

-2

-2

-3

-3

-4

-4
0

3

6

9

12

15

0

Compensation Private Business / PBUS

3

6

9

12

15

Compensation Manufacturing / PPI

5

5

4

4

3

3

2

2

1

1

0

0

-1

-1

-2

-2

-3

-3

-4

-4
0

3

6

9

12

15

0

Compensation Private Business / PGDP

3

6

9

12

15

Compensation Manufacturing / PGDP

5

5

4

4

3

3

2

2

1

1

0

0

-1

-1

-2

-2

-3

-3

-4

-4
0

3

6

9

12

15

0

69

3

6

9

12

15

Iljxuh ;= Dyhudjh Pdujlqdo Wd{ Udwhv

0.325

0.300

0.275

0.250

0.225

0.200

0.175
1947

1953

1959

1965

6:

1971

1977

1983

1989

Iljxuh <= Uhvsrqvhv ri Uhdo Zdjhv

Before Tax

After Tax

Durables Wages / CPI

Durables Wages / CPI

6

6

4

4

2

2

0

0

-2

-2

-4

-4

-6

-6
0

3

6

9

12

15

0

Nondurables Wages / CPI

3

6

9

12

15

12

15

12

15

Nondurables Wages / CPI

6

6

4

4

2

2

0

0

-2

-2

-4

-4

-6

-6
0

3

6

9

12

15

0

Wholesale Trade Wages / CPI

3

6

9

Wholesale Trade Wages / CPI

6

6

4

4

2

2

0

0

-2

-2

-4

-4

-6

-6
0

3

6

9

12

15

0

Construction Wages / CPI

3

6

9

Construction Wages / CPI

6

6

4

4

2

2

0

0

-2

-2

-4

-4

-6

-6

6;

Iljxuh 43= Uhvsrqvhv ri Glhuhqw Phdvxuhv ri Pdqxidfwxulqj Uhdo Zdjhv

Before Tax

After Tax

Manufacturing Wages / CPI

Manufacturing Wages / CPI

1.0

2

0.5

1

0.0

0

-0.5
-1
-1.0
-2
-1.5
-3

-2.0

-4

-2.5
-3.0

-5
0

3

6

9

12

15

0

Manufacturing Wages / PPI

3

6

9

12

15

12

15

Manufacturing Wages / PPI

5

4

4
2

3
2

0
1
0
-2
-1
-2

-4

-3
-4

-6
0

3

6

9

12

15

0

Manufacturing Wages / PGDP

3

6

9

Manufacturing Wages / PGDP

1.0

1.6

0.5

0.8

0.0

-0.0

-0.5

-0.8

-1.0

-1.6

-1.5

-2.4

-2.0

-3.2
0

3

6

9

12

15

0

6<

3

6

9

12

15

Iljxuh 44= Uhvsrqvhv ri Prqh|/ Sulfhv dqg Lqwhuhvw Udwhv

GDP Deflator

Nominal 3 Month Yield

Real 3 Month Yield

3

2.0

2.7

2

1.5

1.8

1.0

0.9

0.5

-0.0

0.0

-0.9

-0.5

-1.8

-1.0

-2.7

-1.5

-3.6

1

0

-1

-2

-3

-4

-2.0
0

3

6

9

12

15

-4.5
0

CPI

3

6

9

12

15

0

Nominal 1 Year Yield

2.7

6

9

12

15

12

15

12

15

Real 1 Year Yield

1.5

1.8

3

3

1.0

2

0.9
0.5
-0.0

1

-0.9

0.0

-1.8

-0.5

0

-2.7

-1
-1.0

-3.6
-2

-1.5

-4.5
-5.4

-2.0
0

3

6

9

12

15

-3
0

M1

3

6

9

12

15

0

Nominal 2 Year Yield

4

3

6

9

Real 2 Year Yield

1.0

3.0
2.5

3

0.5
2.0

2
0.0

1.5

1

1.0
-0.5
0.5

0
-1.0

0.0

-1
-0.5
-1.5

-2

-1.0

-3

-2.0
0

3

6

9

12

15

-1.5
0

3

6

73

9

12

15

0

3

6

9

Iljxuh 45= Vhqvlwlylw| wr Srvlwlyh Fkdqjhv lq Udph| dqg Vkdslur Gdwlqj ri wkh Nruhdq Zdu
Hslvrgh

Real GDP

Residential Investment

4.0

5.0
Point estimate

3.5

2.5

Plus 1
Plus 2

3.0

0.0
Plus 3

2.5
-2.5
2.0
-5.0
1.5
-7.5
1.0
-10.0

0.5

-12.5

0.0
-0.5

-15.0
0

3

6

9

12

15

0

Nonresidential Investment

3

6

9

12

15

After Tax Manufacturing Wages / CPI

12

0.5
0.0

10

-0.5
8
-1.0
6

-1.5

4

-2.0
-2.5

2
-3.0
0

-3.5

-2

-4.0
0

3

6

9

12

15

0

Nondurables + Services

3

6

9

12

15

12

15

Government Purchases

1.5

20.0
17.5

1.0

15.0
12.5

0.5
10.0
7.5
0.0
5.0
2.5

-0.5

0.0
-1.0

-2.5
0

3

6

9

12

15

0

74

3

6

9

Iljxuh 46= Vhqvlwlylw| wr Qhjdwlyh Fkdqjhv lq Udph| dqg Vkdslur Gdwlqj ri wkh Nruhdq Zdu
Hslvrgh
Real GDP

Residential Investment

6

8.0
Point estimate
Minus 1

5

4.0
Minus 2

4

Minus 3

0.0
3
-4.0
2
-8.0
1
-12.0

0
-1

-16.0
0

3

6

9

12

15

0

Nonresidential Investment

3

6

9

12

15

After Tax Manufacturing Wages / CPI

14

-0.5

12

-1.0
-1.5

10

-2.0
8
-2.5
6
-3.0
4

-3.5

2

-4.0

0

-4.5
0

3

6

9

12

15

0

Nondurables + Services

3

6

9

12

15

12

15

Government Purchases

1.75

20

1.40
15
1.05
10

0.70
0.35

5

0.00
0
-0.35
-0.70

-5
0

3

6

9

12

15

0

75

3

6

9

Iljxuh 47= Uhvsrqvhv wr Udqgrpo| Vhohfwhg Hslvrghv

Real GDP - Government

After Tax Manufacturing Wages - Government

6

7.5

4

5.0

2

2.5

0

0.0

-2

-2.5

-4

-5.0

-6

-7.5

-8

-10.0

-10

-12.5

-12

-15.0
0

3

6

9

12

15

0

Residential - Government

3

6

9

12

15

Residential + Durables - Government

20

15
10

10
5
0

0

-5
-10

-10
-15

-20
-20
-30

-25
0

3

6

9

12

15

0

Nonresidential - Government

3

6

9

12

15

12

15

Residential - Nonresidential

12.0

15
10

8.0
5
4.0
0
0.0

-5
-10

-4.0
-15
-8.0
-20
-12.0

-25
0

3

6

9

12

15

0

76

3

6

9

Iljxuh 48= Prgho Edvhg Lpsxovh Uhvsrqvh Ixqfwlrqv= Jryhuqphqw Sxufkdvhv  LLG

-3

Government

x 10

1

Output

Hours
0.012

8

0.8

0.01
0.008

6

0.6

0.006
0.4

4

0.2

2

0.004

0

5

10

15

0

Consumption
0

0.002

5

10

15

0

Market Investment

5

10

15

Home Investment

0

0

-0.002

-0.1

-0.2

-0.004

-0.2

-0.006

-0.3

-0.4
-0.6

-0.4

-0.008

-0.8
-0.5

-0.01

5

10

15

5
-3

Basis Points

Interest Rate
0.05

0

0.04

-1

0.03

-2

x 10

10

15

5

10

Wage

ψ=0

ψ = 0.5

0.02

-3
ψ = -1

0.01
0

-4

5

10

15

5

10

77

15

15

Iljxuh 49= Prgho Edvhg Lpsxovh Uhvsrqvh Ixqfwlrqv 0 Jryhuqphqw Sxufkdvhv DU+4,

Government

Output

Hours

1
0.07
0.8

0.08

0.06
0.06

0.05

0.6

0.04
0.04

0.4

0.03
0.02

0.2

0.02

0.01
0

5

10

15

0

Consumption
0

5

10

15

0

Market Investment
2

5

10

15

Home Investment
0
-0.5

-0.01

1.5
-1

-0.02
1

-1.5

-0.03
-2

0.5
-0.04

-2.5
0

-0.05
5

10

15

-3
5

Interest Rate

10

15

5

10

Wage
0

0.16
0.14

Basis Points

0.12

ψ=0

-0.005

0.1
0.08

ψ = 0.5

-0.01

0.06
ψ = -1

0.04
-0.015
0.02
0

5

10

15

5

10

78

15

15

Iljxuh 4:= Prgho Edvhg Lpsxovh Uhvsrqvh Ixqfwlrqv= Jryhuqphqw Sxufkdvhv 0 Hvwlpdwhg Pry0
lqj Dyhudjh Uhsuhvhqwdwlrq

Government

Output

Hours
1.6

1.5
12

1.4

10

1.2
1

8

1
0.8

6
4

0.6

0.5

0.4

2

0.2

0
5

10

15

0

Consumption

5

10

15

0

Market Investment

5

10

15

Home Investment

0
0

-0.1

40

-0.2

-10

30

-0.3
-0.4

-20

20

-0.5
-0.6

-30

10

-0.7
-40

0

-0.8
5

10

15

5

Interest Rate

10

15

5

10

Wage
0

2

-0.05
ψ=0

Basis Points

1.5
-0.1
1

ψ = 0.5

-0.15
-0.2

ψ = -1

0.5
-0.25
0

5

10

15

5

10

79

15

15