Sticky-Price Models of the Business Cycle

!
" "#$ "#% "&%
! "#$ !$ %" &'()*' + ,'(..&)'*( /0 ,'(- ..&&)* 12$
! "#
$%&' (
!
# )
** ! + ,#
!
, - . #
( !
- / * 0 * 1 *2 " 3 4 #
# - #
' )
!
, #
$%&' / 3
# - )
5 6 ,
7% " ( !
8 $%&' - ( !
, !
. # % 9 % : % ; 9
< / * , ) /#
* . " 8 9 < . 8 = 9 ! ( . , (
7% % / * - 8 < - 8 # ( !
, ( ( ! : ) > > #
!
. ? 6 ? 2 ? 0 2 . 8 $%&' :
, @ 8 /
* !
.
# . # .
, $ # . #
< , .
!
#
. . , !
# ,
3 !
$ ;
# . @ !
!
. # . !
.
#
.
# . @ A .
6
!
8 .
!
@ " !
9
,- , 2
:
8 9 / : !
-# !
)
' " @ 5B * /% ? % A
0
A 9 > !
-# #
? 2 / * .# *
3 "
;
'" ; !
.
# . #
.
!
. ,- .
6
.
#
8 6 !
.# #
2
B .
.3 . -@ 2 -#. !
# . ! *
/ * ! #
" ! ! ! ! -# % 6 .
# . !
# . 8 " .
# .3 2 / # . 8 .
# # # (
!
. - 3 9 " +
8 = 9 ! ( - 8 )
53 6 ( @
A * - 8 ) 3 # )AC7% &- 8 . = 7? ?- ! 3 " 7%
!
8 # .3
D ,- " 8 2 * # .3 . / #
1 9 3 . ! "# $#
!
8 #
(
$
# # # $ $ +
# $ # # $ -# !
+ ! : ) *
9 - !3 . ( $> > # ( #
E 9
% &# '()
/ " # . / #
!
" .# 3 + > " 3 " !
!
#-
@ A
?
+ 9
:
/ 9 3 % ( # ( ! !
3 ( &
'
. $ 9 !
@ ,
(
(
(
(
!
3 + ;
*
'" 9 # !
, #
< ; B
: ? . D % ( # # !
&$= 59 &$= (
/( &$= ( #
! , 8@ , # 2 !
" 6D D; % #
8 3 #
. 6D *D9 6
*D: D; !
= F3 B
) % #
7% # , B & & $%&'
$ #
( 7% / * 6 * > # !
% ) @ ) ! ) 59 +@ 5
* 59 " ;
. % ) .
2 ' 59@ G
= . > 59 #+ !
2
, #
!
" , / ; ; 6 #
" - # #* 2 #* < / * 3 @ ., /
" E !
3 : " 6 #
!
" " ++96 3 " " +:2 !
8 " +@ ( ! ) 3 *
" @ > # .
E > ! !
" 2 " 03 9
9+ '
! , 3 * #
" , #
,- ) . + # - #
( 6: #* :6 #* ( #* !
) B
F &
.
( B
& & + @ ( #* ) " 3 " 7 B & &
+ ) < ( 3 " "
#* ! , 8 "
!
8 ( 0
( )
5 6 H * #
)
#5 < !
. ( ! ( 8 / (#
# ) 9 !
,
D - #* 96 #
* = #
+ B & & . G
# A > ( ( )3 7% !
9 3 !
9+
) 3 1 ' #* ' #* ) 0 #" ' D ! : 0 8 3 * '
)
. #
, !
: * . 9
% 8 .
#
( !
8 8 ( !
! ( / 8 ( ( !
" ; ,
@ & %
+ 7% . 96 $%&' @ 0 * , # $%&' / ( #
5B * #
3 /% - ' 99
)
< 5B * /% #-
' " 3 !
( 5 < %3 : 8 ' "@ . 8 A
0
A
9 #
3 . # . 7% $%&' 8 ( @ ( , 8 9:
$%&' !
' " - 3 ' # , 8 $ 0? B ) I/ '
5 % B
I 66 G
D 26#2:
A F I ' % < G F
= %
I
:: 5 9 D
;;#;*
A
J 0
I< 5#
D <
= )I $ D 22#*
9;
A
G J B
5 ?
I!
% 1 $>#
5 7 ',I
; J + D
:+6#:
A ) 1 ! J
B 0 I!
'#
5 5 ) AI ;* $ * D ;:#
B J & 5 & I5 = 5 %D ' % !
I 0 =
2;;9 BD A ' 5
' J> B )
I 3$3 = %H !
1 B" ' <
I 0 = #; AD
) A A )
% I1#! B ', G#
5 % I 6 ) ** D
#9+6
)
J> & 5 I/( =I
+ ) 6 D 9*#6
96
& %
5 $ ' %
I!
$ 5I /
A8 5 ) ) < <
D #< +
< J $
! "
=D = 7
= ;
< 1 = ?
J % I%
B ! A
I : D 9;#926
/ = I5 &
D I
"
; 5
; D ;*#26
/ = I' &
) ' 1#
A
FI
# 5CJ ; D 6#;
/ = I' ) / $ 5I
$ $ %
9* ) 6 D +*#9:
/ = I % % K 5 5 =
'I
92
;*
$ * D :#+
? J I5 = %
'" 5 I 5 <D L 7 5
2
? 5 % I!
K A 5I
$ $ %
9* 6 = 9 D 9;#
9**
? & 5 0 0 I5 = / A BI
* ) 2 D
:6#6:
?- %
= ! IF ' BI 0 = #+: ? BD ) A ? B
1 ' J I' = 'D B"I
*2 D #;2
5 & I!
= / <
/
I & * D :+*#:
9*
5B A ! ' I G- /%#15 %.
5 = A B I 0 = 6*6
BD A ' J *
5
L
= I A
59 $I )
A : % * D 9*#;:
' I ) - 5 I 5 =
D B 5 7 ' I%
/( G- 5 A
BI ;9 G D :+:#:99
G
= I=M D 5#A /#
( ) B
'" FI ) '#
$ % #92 0
D ) A 5
= 5 <
IB 8 7 ',D &-I
:6
9
*: 5 D :6:#
= % I) 1 = % 7? 5I +9 5 9 D ;*#6+6
J J I% = 7 %I
+ $ 9 D *#9
J J I! B '#F. ',#
5 5 = D BI
;* $ * D 9:#9;
J J 5
0 IG = '#
$ ' I
++ $ 9 D 6:#9+*
J J 5
0 I G-#A '#
) ' 5 =I / A % A
J J '%
" ())*
B#
D 5/! = *
! J
A I $ % BI
) + D #9:
9
! J
A I$ F = =I : $ : D 6#9;
! J
A I% = 0 % 5I 0#
= 2*6; BD A ' G#
! = I ' BI ) ' $
% #:* 0
D ) A J :+
!
!
!
" # $ % ""
& '(
! " #$
Percent from Steady State
Response of Inflation to Preference Shock
0.1
0.08
0.06
0.04
0.02
0
0
4
8
12
16
20
Pre-1979
24
28
32
36
40
Post-1979
Percent from Steady State
Response of Inflation to Technology Shock
0.1
0
-0.1
-0.2
-0.3
-0.4
0
4
8
12
16
20
Pre-1979
FIGURE 1
24
28
32
Post-1979
36
40
Percent from Steady State
Response of Interest Rate to Policy Shock
0.04
0.03
0.02
0.01
0
0
1
2
3
4
5
6
Pre-1979
7
8
9
10 11 12
Post-1979
Percent from Steady State
Response of Output to Policy Shock
0.2
0
-0.2
-0.4
-0.6
0
1
2
3
4
5
6
Pre-1979
FIGURE 2
7
8
9
Post-1979
10 11 12