!""#$%    

 &

   $    $    ' $ (%          $  &  ) *         $      &   +      $     

   )  &

      &(             $  & +      )    , $       $   

)        -            -     .)) / $           -      & $   .))   

+ )   $ $    &

      $         $    

                        & &  $ $ 0Æ  1 

& 2334%)

 

              

         

                    !  " # $               " # $  %   & '           



         !"#                 $     %&'   (   )#      *(              +       !"               *(  '   , '    + -                  

       !"             '   ,            *(                  +                 '          ,   %&'   (  ."")#         +   !"     ,    +      *(       /                 0                        $          !"#   1 %&'   (  .""! #             '      /        2' 3  4  .""#             5   #          '       &          6' %&'   (  .""!#      %&'   (  ."")#  ,   ,                     '   /                   7   ))#  6    )8#              5  ."".# '       9                '  '  '   ,          %&'   (   ) ."")#                    '           /                       '  0      7   ))#            1 2          '            /      '                    /          /  '  %&'   (  ."": ."") #                                    -             ,                      /   ; ' $ '   '  -            

( )**+     ,     # ,       -       #   - -    #   - #       ,     ,   #   #     )**.  /  ,  %    #   -

.

                  '  

               '  '                                         5  ."":#    <+7     %&'   (  ."":#=             '  $               '   %&'   (  ."") #                                                                +  '   2                                 '   3                                  '       +   2      '                     '     -               

  '   /       '                ,              2                               +

   0    '        '           /   '                   &                +&        '           /         '   +   *(      5             /       '       >'              , 

-  0  %      1 0  %            )**.2 )**3 ,    %  , ,  #  ,  4  )**.   4  ,    %  ,  %       -   #  4    )**.2  5           )**.2 )**3      ,        #  6 - ,,  7   8  )**9       ,2 -       ,    # 2 

    #  

 5      % , 0 - ,    

#  ,   ,  -  ,% ,   %    , 0   : ,         - #

        )**.2 )**3  4  )**.   #    ,   #        #  - ,  %  , 

       -

         -   ,  2  ,         -

  #    ?

'  $     $        -    3             @           

  

-  = 0        A   

7        

    

  ):#

 

   ' 

2  B,  )!#

   

  

/5   :!#

   

 

'        

 

%&'   (  ."":#

  /   #

 

%  5   !C# 2' 3  4  .""#

  

  

5  7  .""8#

 ,   *D

     

 

'     /    

 

<  

#

   5  

#

>   Æ  C# Æ  >   8#

        

   

2 2  B,  )!#          '/         '         '   '      &                   /    '              6  :#       .""?# 0            /

      >  5  ."".#  9E 3/4 '  B .""!#   B    4  ."")#      /    C

        $               '     0     /                    $ /     '                    (    .""C#  >' .""!#                   

  F  9E ."":#       .""!#           /            A                                   /        (    6      )#         /5   :!#     / / /     '     ,            ,  '  9 %&'   (   )#               ,  -  '                    $  &     '      



   

D   < $  #                                   ; $         9         

  /5      &     2 /                   '                



   

-   &      $ /      2   /           ,  /        %  5   !C# 2' 3  4  .""#          ; $                   '     2' 3  4  .""#                          /         '     '        /         Æ           /     %&'   (  .""! # D     2' 3  4  .""#          

1    #            #  #    -      )**;     %  (  ,     6 Æ    - # 

5 /  5    -  ,   2      ,     ,    "  )**< 5,  ,   -              -  !5,  = 6 )***        ,   ,2    "  )**.  #  ,        -    5, -  #    -  

#        2  ,  ,  ,     5

    6  

   1 5  ,  -    -    -         -  5,      -        , #       

8

                          /              3            '  6           Æ               D    2' 3  4  .""#       '  '        '        3                  0   /     '               5   #  '       9       ''                            3              2        &      6 $  ).#  3          '    $     F '    :#       





     

                       '  -     '         /                  

                     /                                    /                               



!  

9 7   ))#  6    )8#              '    /           /     "                            '      /          //     '     '   ' -                    5  ."".# '  6  /7          /               F         

          '     &                 '           /                        -   '    '  '     '                         '  /    / ,            %&'   (  ."": ."") #        

                          :

'   '      "       '     ; ' $     ,        '     /   <                           G     #     4                      H" I                    %&'   (  ."": ."") #     

Æ                     '  '  '              '         # '  '                  '

                    -    '  '                   9            Æ            '     //        

      0                     $       '       '  '   /  /         '      '         -  / '            '                                           2    %&'   (  ."": ."") #                         '      ' 

,             @              F           .# 5    ."":#  7   0  .""!#  '   3    '                    '            *(                :.  :8                  7   5    !##

"

#      

0          J                 ,        -           /    -  ,                   '              '                   &/    -  ,    ,     '                   %&'  ."".#     ,                       5 /   # 2' 3  4  .""#  %&'   (  .""! #            '          6   7   ?#  %&'   (  .""!# *  !

                 ,                              /          '         6  ,                 &          '          -         '                2    5  7  .""8#     3             &   /                (              '       &       K    &             -                                    =                  &         $                       &   0                     '    '  +         <   !#         ' '          ' /      ,  -     '              , '    /           '   ' #         , '               '   ' #         9  ''      +   F     :#        '               +

$

% 

-     &    +       %&'   (   ) ."")#   D   8#  %&'   (   )# '                +      )" 

       >   Æ  C#          *(      !"     )"    D   8#         @   '                 ,    +               D   %&'   (   )#            '       '   $             +     /  /

1  5 , 2   - (   (    +>>92 #  ?      % ,           )**) 5,     0    -  ,        ,  0   ,  ?    #  # 

 

  (   (    +>>9    0      ,  ? 5   # -

 #     1     #  6 -   2    0  ,   #     -   ,   

)

                  , 2               +    '             *(                     +                 *(     8"   :"     '      *(    %  (        5 $   2   +   */   (    :.# %&'   (  ."")#   3            '      2    +   ,       *       +            ,          +  /       8"   :"   ,       @         '       +        /               '           '                         

  %&'   (  ."")#                       

  '    -                /           

&

'(    

0        %&'   (  ."")#             #  /                ,                    '        , ;  $     , '        '         '         

  -          %&'   (  ."") #         .8                       '                        0  '        /         *(      + -                               '  %/        /       6     ."")#  %   ."")#          '  /                '        D         

1 ,     -      #   @   ,          +>>* 2 &    )**3 ,   -  0  #  -    AA      #

  )**3   ,   ?    -            #  -    A*  -  ,,  1         -   

  -    -       , ,  , ?  ,   A* B   ,    -  #    -    2  ,     ,, 2  -   # 

 :   :  C )**;2 ;9D  :    )A%.<     -   



  ,                 /  '          /   '                            #

)

 

+     %&'   (   ) ."")## '      >   Æ  C#  B 3  2  # '                                    

                -                    Æ  >   8# '   /           2       LLLL         /            @   $        

   '     '                 

                     5   )#        /&            /                  

    0 ;$             /  =  /&                               &         '          

     D     '         '        2            ''       ''                                2               , '          '         2      

             2' 3  4  .""#     ,  H" I

   ; $  3           # -                                           ; $       ; $ -              G   , 

  #               #  Æ       .#               & 

-  0  )**+ "

M K #   '        '           M     '   '  2                   ,    Æ            # D   , 

   Æ                        9     '    $ ;$          ?.    

   $ ;        $ 2                   N

            D  ''                                <      '                 &        -  Æ                 &    #                              '  &     2                     N           D  ''       &              H" I        '   -  $      Æ  

#      '      &  /  # G   M          MK #              M         $  '    '  ,                  ,   / M ¼ # /              '  



   

0               















 





 



 #



 

#

   '                                       6'         ,                #        K        -        '                



  

-           %&'   (  .""! # 6'

                      

,   5,    #  2 # -   5,    #        -  % 2 E    *2       -      ,   5,    



%&'   (  .""! #                    '       3         /                 &      $        -                 /  ;  $         

   /          '     3    

            '  /  -           ; $       /                 D     ;$          3         ;$            

 '   ,    '            '  2                              3     -           '       $       Æ      -           %  5   !C#  2' 3  4  .""#         '        &      Æ       '   '  0 '    '         /              &          &    &             Æ      D                  O   ' '  G 

 -   ' '     '      ¼ # 2                K             -  $             

# G  #     





 " #

.#

       /    ' '                  Æ    Æ                   -    '    2   '                       <   ''   '  ' '    '                   -         '                           -       

      '   ' ' M D              ''            -                   3     9  '    $ Æ                 3   0  '  /         Æ     

                 ' -       .

Æ                                       ' -                        ,                   2       $                  ''          '                3     (   $                             3             D       '    3               & '           $                      3     <                 N #  "   '     &    



    

-  '$               9             ,                     -    P#                           (          Q            -    '      (           -  '                             %                    #         %/      !  !R     /    

  '  -  ,       '         /           " 

   

  

-  . ? C  8          '    

    '     '                   ,         '    -  '               2         '       # $          #           #    $   /  /         

B -        5  2 -  0     2 #       &  2  ,   -  #     , # ,       -     

?

-  .= (      4     # $     

 *D          Æ         

      '   

        '         *D    '   #         $ Æ      4              $  '   #        #  $           $     ' 5     %   &     '       '   #                    '            '         

      '    Æ         '     6  

               2             '                            6    @    '   

   '    & 

    !

"  # 

-       G       #      #  , '               .#    &  M K #        3     / /           # G  #  ?#   '           #

C

-  ?= >'   4       P#

Q  

! !R "

*D   *D     /                                

             

-  C= 4    4       

  

     #¼  &N #  #      #¼ & #  $  #      #¼   & #  #      #¼   &R # #    #¼ &  #    &N # $  #

8

-  8= 5  A 

D 

 ¼ #

    Æ      ¼            

 #        '      ''                         N                        M K #    M                     '  '   M ¼    #          K M   ¼    // 

!

$   





-  '        R # # G    # O  &R #¼   O # &

¼

?#



  

 

O #¼  #¼

H O  "(



#'I # O !R 

5   R# #  #R# # '   '     '   / ' 

!

%&    



-  '          

      &

 

#  # G    #





¼ 

M K #   

O  

M ¼ #& #¼  ¼  P ##   O #  

 ¼



 



O

M P ##   O  #& #¼  

O

#

 #   &

 

:

M O #¼  

   &

 



M "   O  #¼  

C#

   O #¼  #¼

 

H O 

#' I # O   #    # O !  "     H"   )#I (

5    #  # # #  #   #  # '   '    '/         

    '  -  '             

&

 



 

#  $  # G    #

¼ 

   # O 

 #   & #¼    O #  & #¼   $ ¼   O   O #

O

 # &

 





#¼   $ ¼   O   O #

8#

   O #¼  #¼

 

H O 

#' I # O  "    H" I (



#$ O!

<   $ ¼ G $      "    5    #  $  # # #  $  #

  #  $  # '   '    '       

  '  D                G "     G "          '       &  C#  8#       &R #¼   O #

!

' &    

-  '            

    /  



N #  # G    # &

¼



O  O



N # I&N #¼  P#   O # 

O HN O  N # 





 #    & #¼     O # & #¼    "   O #

N #¼  "   O #  #   &N #¼     O # &

!



 :#

  

 

O #¼  #¼

H O  "(



#'I # O 





# O!

5   N #  #  #N #  # '   '     '

  '  -  '           

   

&N # $  # G    #

¼ 

* ¼

 ¼ #

   # O   #

   

 

  &N #¼  ¼   O #

O* ¼   &N #¼  $ ¼   O   O #



O 





N #¼  $ ¼   O   O #  &



N #¼  $ ¼   O   O #

 # &

!#

   O #¼  #¼

 

H O 

#' I # O  "    H" I 



#$ O!

  * #          &                 3    $ ¼ G $      "    5   N # $  #

# N # $  #  N # $  # '   '    '          '  D                     G "          '       &  :#  !#       &R #¼   O #

!!

( # 

-  '             ' '    &  # &N   #

 

G  



 &N   # 

G    #   

Q





' O Æ # O



)#   O'

   ¼ #&  ¼ #( 

 #

¼

2            $ 3     '   ' M     )





&N  M# G Q(

"#



-   /'        

G

  &N  

 # O'

(

#

D    &                                  ' '  

 



 ! 

0   3      &                    6            '                  0      '     0       ,    &                                      & D         '  &                          '   2                   3   '        =  #   /              '             #           3      #               + #        -          '          ,      '      -          /F            Æ        -          G "(??          Æ G "(": 0        ' G "("C          $       0                   /    /     '                 0       /             / &    '      7    /5   /       &    

 %             ' # J      /5  #    '       #         2'   '            6   ).# F '  6 /    "## 

10 9

Average number of jobs held

8 7 6 5 4 3 2 1 0 20

25

30

35

40

45

50

55

60

65

age

9 = 0 $ '       ,     *(   &  

 (     -          # G M  H # I),  2' 3  4  .""# -     M    M  G ,          

       G ("#                 S      # G -  * 5  = *D  :"T        ,      *( :  #   + # 9  ,     . * -      9 ? * -  9 C

" #  $ %     D         +      '   '   /            A       /     '                  6'  /   '        ,    $  '          -              

."

-  := 5   '             #K /     /     !"T      5   4   " )  "?" , " ) ")  "?? Æ "":  ""? N  ":8  "?? P# :"T       :  *(#

 +#  " +   &   *(# :"T  /     +    # Q " *(# ?   /     +# !R "8  //       /    / #   :.!T ???T#  *(K !)?T C!T#  + "8 *(#

 "?" +# "" "8

. ") / ""8"C:      # "":88C      #  "      # !!)      # M K #   2    M ¼ #  /         '    "  &  #  "."   #      

                H" ( I    "(!  '    "" .

5

unemployment rate (%)

4.5

4

3.5

3

2.5

2 0

1 2 3 4 5 layoff cost (months of low−type worker earnings)

6

9 .= *        ,    +   &   % ,

          /     

50 45

unemployment rate (%)

40 35 30 25 20 15 10 5 0 0

0.05

0.1

0.15

0.2

0.25

0.3

0.35

0.4

0.45

0.5

disutility parameter B

9 ?= *             +          *(   &  

..



-    

12

unemployment rate (%)

10

8

6

4

2

0 0

0.1

0.2

0.3

0.4

0.5

0.6

variance of turbulence shock

9 C= *              '        /        '        -        +     &   :"T  /            '  -   /     *( 3

0.5

2.8

0.45

2.6

0.4

2.4

0.35

2.2

0.3

2

0.25

1.8

0.2

1.6

0.15

1.4

0.1

1.2

0.05

1 20

25

30

35

40

45

50

55

60

65

age

0 20

25

30

35

40

45

50

55

60

65

age

 & ,

- '  

9 8= 6      #  '         #        *(   &   -      /          /    .?

16

10 9

14 8 12

7 6

10

5 8

4 3

6

2 4 1 2 20

25

30

35

40

45

50

55

60

65

0 20

30

40

50

60

age

age

 ! 

-  ,

70

80

90

9 := +    #      #        *(   &   -      /          /   

90 80 70 60 50 40 30 20 10 0 20

30

40

50

60

70

80

90

age

9 != 2         *(   &   -      /          /    .C

35

35

30

30

25

25

20

20

15

15

10

10

5

5

0

25

30

35

40

45

50

55

0

60

25

30

35

40

age

45

50

55

60

age

 1   

- 1 -  

9 )= *        -     +          *(   &    #       #

0.5 0.45 0.4 0.35 0.3 0.25 0.2 0.15 0.1 0.05 0

25

30

35

40

45

50

55

60

65

age

9 = *         +     -      /         /            .8

100 Search intensity 0 Search intensity 1

90

Human capital loss (%)

80 70 60 50 40 30 20 10 0 30

35

40

45

50

55

60

Age

9 "= A         '   /    +   &       ;      $ -         '    '          '        -         , '         '  '         ,          ;      $ -    #      '   3#     

%   6   2

+ *( - & - - & - .) .! C8 C8) .): :!) C8" C88 .))  . C8 C8!

-  != *       %/    / #    !"T ?"T#     

.:

100 Search intensity 0 Search intensity 1

90

Human capital loss (%)

80 70 60 50 40 30 20 10 0 100 30

35

40

45

50

55

60

Age

90

Human capital loss (%)

80 70 60 50 40 Search intensity 0 Search intensity 1

30 20 10 0 100 30

35

40

45

50

55

60

Age

90

Human capital loss (%)

80 70 60 50 Search intensity 0 Search intensity 1

40 30 20 10 0 30

35

40

45

50

55

60

Age

9 = A         '   /      *(   &   5   '               

  '  9      $   '        "# .!

12

11

percentage

10

9

8

7

6 0

5

10

15 20 years since the shock

25

30

9 .= +    '    /     /      *(   &      /                    "T -  '     '         ?" C" 8"  :"   '                ?8

.8 8  8     ' 

.)

        ' '    '          

'   B 3  2  #    '     '  '              

          *( '     :)J !    B '   '  ."")#

& '        ( 9 '                      '           /5      G  O /   #                 0 '             3                    ."       0                                           /5      G  O /   #  9         "    #      G (.                  /5    K                   G "    .G ." -                         .     .# G "(.         # G "() -           /  &      9                 '       '               # 9          

                         #  0 0       '                           :    .   0    

       

      /5       0   '     '  0              

              K  # 0   / G "("8"C:       #  "":88C       #  . G "()       # 0                     "      #  !!)      # -      H" (  "#I -  '      .                    0     ,   /                     ,               /     #   .8  8"

.

)*  2' 3 9      4  ."" ('   5    +   9             C!=C!!JC ) 2 2  S  %   S B,  )!   *'  5 

     =

2 F ' 6    > F  .""? -  7     F  7    F   *            )=8!J."8 /5  U   :! -  5   6        %    +            !8=?8.J?:8  >   2 D   8 0  D&   * = * (  '  + D !" #     $    (    S S 7    = D- 5   -  9  ): (     +&    D/  9      D %          &   '       0 6   2  / ! J". 2 /  = < /6   7   D  5   )   D&  2 D  *    (           ? .#=:"?J:C"           F <  ."": +  9   0            C=)?8J)!"    2 S ' FEV 3/>E3  S E/4EV  7EV /7 .""? 2

    *( +   0  D&             C#=))J)8!   U   (/ B ."": 9 D'   2  %  ( = 2 W  ' 2      6 2     )      # C!=J.! F ' (' S  S  6    " > S    F  =  /

 +'      D   D !" #     $

  A' S      (  9     = D- 5  F ' (' S S   6    (  (    :   %         2= D- 5  F  S  9   B  3 (    2    F '     -   : -  +  D    0   +       .?#=?!J?!. ?"

F F '    9E ."": -  % /( +     /   = 0 +      #      =.C.J.:. 9E 3/4 ' S E  F B .""!   '   %  = 9     + (' F   #      * ) =88.J8:8 >  5  7 Æ  C -  >  +  D      *( %    " +        $ .#=.!J.!. > 5/A'  S   2 5  ."".   '   %       !"=C!J)  >' 9   .""! %  U + = 2 %  D  (   7  4 5  1 $     # !=:)!J!. 6   S /A' 9   %   -   (   ."") F     7/   A 0 $ + = -     F    7 2  6  7 +  ). -  D    % S    *( +      # !.=!:J!.C 6   >  F  )8 D'  %            :=?" J?.!

$ 

      

6   S  S %   %       -   ) +  7  0  D&  = +   F   >  +&   %  +   6 2  #       #=J8) 6  6  7  7   ? S -'  5 +'  = 2 >  +& 2             "= 8J ?) 6    : 0  F   %/  +      ?)=C: JC C

      

B ' >  D  '  ."") 7  A

    D  /     * (  =  :)J ! )      # C =CJ!  B   >  >'  % 4  ."") 6  D       1 < U *'   B 3 %   9  F ' 6 2        0  (   +  D&   D & +  ,    ' ?2   A 2   F '   2  = + ' %&'  %   ."". 6 F % ,   2,  + 1 .=). J)8? ?

     

%&'  %   -  S (   ) -  +  *  F           ":=8CJ88" XXX ."": F -  +  +  * 1 D'  %  6     %  ( '  D !" #     $   F  2  B 7,    0    = D- 5  XXX .""! *   +  *   7  ' 9             8C=.)"J.."C XXX .""!  *   +  *       (  /D               8C=.? J.!  XXX ."")  -      =  4  D            88= )J.8 XXX ."") - W   +  * 

  

    !:=J. 

% 6       % 5   ."") 0  7   +  7  '   %   )-$    *  < ?!"" D     (  %  % 7 + S  +   5   !C +& (   *         (  !=))J."     2 9   A /6  5  0 .""! D         

            8C )#=.:.J.:?8    S  S  !" +   D   S (      )C #=?J.:

      

  (  5  F  -    ! -  *   0  +,   %    5 = 2       *(2    *B D .   / '   0    ,  +   F (  >   F     *B=   *'  5  Æ 7 2  5 >   8 -    '    (   + /     *(=  : / )! *     S  6 *'     F  -      2 5     *  7    ;(/  $ -  (   = -  7  %    5        " =.C.J .:8      ."" 2  D   D'  %      #

?.

$   1

<      F .""C 0  D&   D   %     * !=!C?J!:) <  F   -    S   U     !=.?!J.:

# 

    ,

<  (   ! *   %    7 = + '  < 2           =88J!C 5  +   ."". 5   F 

$     # .=J8

XXX ."":  D !" #     $   F  2 

B 7,    0    = D- 5  5  +   7  7   S  0   ."": 2  %  ( = 2 (   5  -     D  23 (  *'   5 $   2   +   *  (     :. 1      .  0  F= *( >' 5 AÆ  5    7  7  .""8 6 5  %    D   %    9           ?=)J)?  W  4 3 .""" +  ( '  (        ?=JC"

#   1

7  7   )) D'  %  %  +&           .=?J: 7  7   S  0   .""!      +    %    0 -   0 5  ?"! <      +  7    7  S       5    ! 6 (   (     2,  7/   ' D 0  D         :8 C#=!)J)? (  B     D -  2 U  .""C    7  (  '   %             8=:" J:??

??

A Life Cycle Model of Trans-Atlantic Employment ...

Dec 2, 2008 - that the model makes high skill workers with high financial wealth ... This paper constructs a life cycle model that is capable of accounting for a variety micro- .... 4There are various ways to induce higher aggregate savings and a ... Compared to an agent in a complete- ..... interest earnings at the rate τk.

380KB Sizes 1 Downloads 175 Views

Recommend Documents

Persistence of Employment Fluctuations: A Model of ...
JSTOR is a not-for-profit service that helps scholars, researchers, and students discover, use, and build upon a wide range of content in a .... If so, then search and matching models of employment fluctuations can indeed provide ... the model perfor

Hours and Employment Over the Business Cycle: A ... - Giuseppe Fiori
Nov 8, 2017 - Intuitively, total output produced by firms must be equal to the sum of market consumption, investment in physical capital, the costs associated to job creation, the purchase of goods from the government, and the real cost of changing p

Hours and Employment Over the Business Cycle: A ... - Giuseppe Fiori
Nov 8, 2017 - We show that an estimated business cycle model with search-and-matching frictions and a neoclassical hours-supply decision cannot account for the cyclical behavior of U.S. hours and employment and their comovement with macroeconomic var

A benchmark for life cycle air emissions and life cycle ...
Sep 16, 2010 - insight toward emissions expelled during construction, operation, and decommissioning. A variety of ... mental impacts caused throughout the entire life of the HEE system, from raw materials extraction and ... types (i.e., aquatic toxi

An Empirical Model of Life-Cycle Earnings and Mobility ...
their best career- and firm matches, make choices with little considerations ...... I adapt a search technology that has been popular in recent work on single-agent.

Precautionary Money Demand in a Business-Cycle Model
Aug 9, 2013 - paper also uses micro data on liquid consumption from the ...... residual measured in the standard way, with the linear trend extracted from the ...

Employment Duration and Match Quality over the Business Cycle
race, education, and whether the job is protected by a union. ...... technology shock that is cohort-specific.21 Second, the change in job-to-job transition rate.

Employment Duration and Match Quality over the Business Cycle
We thank seminar and conference participants at the CEF conference in ... If a worker has a better match with a particular firm compared to another .... The contrasting effect on different types of separations calls for a theoretical interpreta- tion

Self-Employment and Business Cycle Persistence
Jun 27, 2014 - I build a business cycle model with frictional labor markets and endogenous entry into self-employment where unemployed .... process of aggregate output. In particular, in response to a .... Section 3 describes the calibration of the m

Indoor environmental quality in a dynamic life cycle ...
For human health respiratory effects, building-specific indoor impacts from the case study ... greater than external impacts in one category e cancer toxicity, the source of the ... gases, energy and water usage, and emissions from a building's life

Optimal Redistribution: A Life&Cycle Perspective
corresponding results are about savings distortions, not about the optimal .... at an exogenous interest rate which, for simplicity, is assumed to be equal to .... tally, this structure is due to redistribution going from high to low productivity age