Historical Redistribution Under the Social Security Old-Age and Survivors Insurance and Disability Insurance Programs
by Dean R. Leimer
ORES Working Paper No. 102 (released February 2004)
ORES Working Paper No. 102 (released February 2004)
| Age | Cohort | ||||
|---|---|---|---|---|---|
| 1880 | 1900 | 1920 | 1940 | 1960 | |
| 0 | 0 | 0 | 0 | 0.00092 | 0.01593 |
| 1 | 0 | 0 | 0 | 0.00443 | 0.05143 |
| 2 | 0 | 0 | 0 | 0.00772 | 0.08808 |
| 3 | 0 | 0 | 0 | 0.01266 | 0.12489 |
| 4 | 0 | 0 | 0 | 0.01789 | 0.16515 |
| 5 | 0 | 0 | 0 | 0.02599 | 0.22223 |
| 6 | 0 | 0 | 0 | 0.02879 | 0.29626 |
| 7 | 0 | 0 | 0 | 0.03482 | 0.34594 |
| 8 | 0 | 0 | 0 | 0.04200 | 0.45472 |
| 9 | 0 | 0 | 0 | 0.04857 | 0.51964 |
| 10 | 0 | 0 | 0 | 0.05950 | 0.66209 |
| 11 | 0 | 0 | 0 | 0.11852 | 0.83500 |
| 12 | 0 | 0 | 0 | 0.14292 | 1.00312 |
| 13 | 0 | 0 | 0 | 0.18825 | 1.23296 |
| 14 | 0 | 0 | 0 | 0.23720 | 1.37936 |
| 15 | 0 | 0 | 0 | 0.30874 | 1.57787 |
| 16 | 0 | 0 | 0 | 0.30306 | 1.64913 |
| 17 | 0 | 0 | -0.02272 | 0.20855 | 1.30147 |
| 18 | 0 | 0 | -0.03827 | -0.32841 | -0.76228 |
| 19 | 0 | 0 | -0.07819 | -0.71875 | -2.29595 |
| 20 | 0 | 0 | -0.13013 | -1.07804 | -2.95790 |
| 21 | 0 | 0 | -0.20778 | -1.19695 | -3.65037 |
| 22 | 0 | 0 | -0.24969 | -1.44371 | -4.83727 |
| 23 | 0 | 0 | -0.24358 | -1.85619 | -5.61852 |
| 24 | 0 | 0 | -0.21491 | -2.02588 | -7.08944 |
| 25 | 0 | 0 | -0.19516 | -2.16201 | -7.84547 |
| 26 | 0 | 0 | -0.27170 | -2.77024 | -8.66229 |
| 27 | 0 | 0 | -0.31184 | -2.89817 | -9.14652 |
| 28 | 0 | 0 | -0.32684 | -3.04638 | -10.19184 |
| 29 | 0 | 0 | -0.32999 | -3.37159 | -10.60554 |
| 30 | 0 | 0 | -0.50071 | -3.23508 | -10.90959 |
| 31 | 0 | 0 | -0.61242 | -3.46948 | -10.96856 |
| 32 | 0 | 0 | -0.64590 | -3.77999 | -11.21163 |
| 33 | 0 | 0 | -0.67365 | -4.21664 | -11.36209 |
| 34 | 0 | 0 | -0.88722 | -4.34292 | -11.68152 |
| 35 | 0 | 0 | -1.02416 | -4.18778 | -11.97225 |
| 36 | 0 | 0 | -1.05295 | -4.35547 | -12.17077 |
| 37 | 0 | -0.18718 | -1.22249 | -4.44736 | -12.80522 |
| 38 | 0 | -0.17143 | -1.18262 | -4.58387 | -13.38067 |
| 39 | 0 | -0.18182 | -1.44390 | -4.74636 | -13.74442 |
| 40 | 0 | -0.19299 | -1.71887 | -4.63494 | 0 |
| 41 | 0 | -0.20871 | -1.67040 | -4.90928 | 0 |
| 42 | 0 | -0.23252 | -1.74590 | -5.03212 | 0 |
| 43 | 0 | -0.28198 | -2.02972 | -5.10015 | 0 |
| 44 | 0 | -0.28494 | -2.03629 | -5.76493 | 0 |
| 45 | 0 | -0.26522 | -2.02008 | -5.76230 | 0 |
| 46 | 0 | -0.21721 | -2.62170 | -5.98799 | 0 |
| 47 | 0 | -0.20564 | -2.62641 | -5.97045 | 0 |
| 48 | 0 | -0.20497 | -2.69575 | -6.28569 | 0 |
| 49 | 0 | -0.18885 | -2.89857 | -6.24123 | 0 |
| 50 | 0 | -0.28310 | -2.67289 | -6.10392 | 0 |
| 51 | 0 | -0.38114 | -2.74692 | -5.79797 | 0 |
| 52 | 0 | -0.38639 | -2.83681 | -5.58812 | 0 |
| 53 | 0 | -0.38616 | -2.97610 | -5.29467 | 0 |
| 54 | 0 | -0.50481 | -2.88202 | -5.08906 | 0 |
| 55 | 0 | -0.57332 | -2.52224 | -4.72194 | 0 |
| 56 | 0 | -0.59172 | -2.31649 | -4.29554 | 0 |
| 57 | -0.07203 | -0.61771 | -2.04338 | -4.05266 | 0 |
| 58 | -0.06145 | -0.50991 | -1.87610 | -3.76847 | 0 |
| 59 | -0.06334 | -0.54564 | -1.73818 | -3.33178 | 0 |
| 60 | -0.06654 | -0.62458 | -0.89352 | 0 | 0 |
| 61 | -0.07172 | -0.49333 | -0.37401 | 0 | 0 |
| 62 | -0.07922 | 1.07602 | 4.97590 | 0 | 0 |
| 63 | -0.09362 | 1.72888 | 7.59175 | 0 | 0 |
| 64 | -0.09410 | 2.18077 | 8.31721 | 0 | 0 |
| 65 | 0.03214 | 3.62930 | 10.84562 | 0 | 0 |
| 66 | 0.12342 | 4.49273 | 12.28066 | 0 | 0 |
| 67 | 0.15899 | 4.70495 | 12.33483 | 0 | 0 |
| 68 | 0.20036 | 5.28043 | 12.43730 | 0 | 0 |
| 69 | 0.26701 | 5.21526 | 12.55040 | 0 | 0 |
| 70 | 0.36648 | 5.79372 | 12.90971 | 0 | 0 |
| 71 | 0.65212 | 6.26710 | 13.17763 | 0 | 0 |
| 72 | 0.69775 | 6.70540 | 13.09863 | 0 | 0 |
| 73 | 0.87304 | 7.07766 | 12.91396 | 0 | 0 |
| 74 | 0.94794 | 6.61871 | 12.62230 | 0 | 0 |
| 75 | 1.25885 | 6.48068 | 12.34508 | 0 | 0 |
| 76 | 1.18450 | 6.40739 | 11.87556 | 0 | 0 |
| 77 | 1.23408 | 6.11274 | 11.64024 | 0 | 0 |
| 78 | 1.17767 | 5.65774 | 11.27133 | 0 | 0 |
| 79 | 1.14887 | 5.13199 | 10.60466 | 0 | 0 |
| 80 | 1.01353 | 4.80232 | 0 | 0 | 0 |
| 81 | 0.94193 | 4.45283 | 0 | 0 | 0 |
| 82 | 0.89326 | 4.60835 | 0 | 0 | 0 |
| 83 | 0.78717 | 4.29650 | 0 | 0 | 0 |
| 84 | 0.70909 | 3.85307 | 0 | 0 | 0 |
| 85 | 0.63752 | 3.36818 | 0 | 0 | 0 |
| 86 | 0.55616 | 3.10334 | 0 | 0 | 0 |
| 87 | 0.53465 | 2.70353 | 0 | 0 | 0 |
| 88 | 0.48329 | 2.38348 | 0 | 0 | 0 |
| 89 | 0.39766 | 2.06418 | 0 | 0 | 0 |
| 90 | 0.33884 | 1.68998 | 0 | 0 | 0 |
| 91 | 0.28703 | 1.48216 | 0 | 0 | 0 |
| 92 | 0.23637 | 1.27058 | 0 | 0 | 0 |
| 93 | 0.20768 | 1.04747 | 0 | 0 | 0 |
| 94 | 0.15535 | 0.81087 | 0 | 0 | 0 |
| 95 | 0.10968 | 0.60285 | 0 | 0 | 0 |
| 96 | 0.08328 | 0.43406 | 0 | 0 | 0 |
| 97 | 0.06159 | 0.32847 | 0 | 0 | 0 |
| 98 | 0.04467 | 0.23711 | 0 | 0 | 0 |
| 99 | 0.03284 | 0.16187 | 0 | 0 | 0 |
| 100 | 0.02432 | 0 | 0 | 0 | 0 |
| 101 | 0.01868 | 0 | 0 | 0 | 0 |
| 102 | 0.01479 | 0 | 0 | 0 | 0 |
| 103 | 0.01281 | 0 | 0 | 0 | 0 |
| 104 | 0.00977 | 0 | 0 | 0 | 0 |
| 105 | 0.00774 | 0 | 0 | 0 | 0 |
| 106 | 0.00580 | 0 | 0 | 0 | 0 |
| 107 | 0.00466 | 0 | 0 | 0 | 0 |
| 108 | 0.00372 | 0 | 0 | 0 | 0 |
| 109 | 0.00309 | 0 | 0 | 0 | 0 |
| 110 | 0.00222 | 0 | 0 | 0 | 0 |
| 111 | 0.00205 | 0 | 0 | 0 | 0 |
| 112 | 0.00112 | 0 | 0 | 0 | 0 |
| 113 | 0.00054 | 0 | 0 | 0 | 0 |
| 114 | 0.00017 | 0 | 0 | 0 | 0 |
| 115 | -0.00026 | 0 | 0 | 0 | 0 |
| 116 | -0.00016 | 0 | 0 | 0 | 0 |
| 117 | -0.00020 | 0 | 0 | 0 | 0 |
| 118 | -0.00029 | 0 | 0 | 0 | 0 |
| 119 | -0.00029 | 0 | 0 | 0 | 0 |
| SOURCE: Author's calculations. | |||||
| Age | 1945 | 1955 | 1965 | 1975 | 1985 | 1995 |
|---|---|---|---|---|---|---|
| 0 | 0.00490 | 0.01444 | 0.01968 | 0.02723 | 0.02803 | 0.03327 |
| 1 | 0.01481 | 0.03603 | 0.05710 | 0.08373 | 0.07083 | 0.08854 |
| 2 | 0.02201 | 0.05668 | 0.09329 | 0.13195 | 0.10818 | 0.13724 |
| 3 | 0.02469 | 0.07796 | 0.13240 | 0.19276 | 0.15530 | 0.19857 |
| 4 | 0.02438 | 0.09717 | 0.17632 | 0.27075 | 0.20552 | 0.25435 |
| 5 | 0.02599 | 0.11188 | 0.22223 | 0.35191 | 0.26669 | 0.33267 |
| 6 | 0.02667 | 0.13336 | 0.27297 | 0.41546 | 0.32982 | 0.39701 |
| 7 | 0.02799 | 0.15907 | 0.32602 | 0.48407 | 0.39389 | 0.46640 |
| 8 | 0.02836 | 0.19648 | 0.39572 | 0.56575 | 0.47613 | 0.53662 |
| 9 | 0.02888 | 0.20851 | 0.45722 | 0.67178 | 0.54120 | 0.62921 |
| 10 | 0.03042 | 0.22487 | 0.52110 | 0.79755 | 0.63645 | 0.73519 |
| 11 | 0.03157 | 0.27016 | 0.59611 | 0.96251 | 0.74424 | 0.83389 |
| 12 | 0.03207 | 0.30731 | 0.66916 | 1.10903 | 0.86457 | 0.93030 |
| 13 | 0.03425 | 0.31356 | 0.75940 | 1.26494 | 1.05214 | 1.07653 |
| 14 | 0.03171 | 0.30369 | 0.83403 | 1.44961 | 1.31369 | 1.21689 |
| 15 | 0.02084 | 0.30874 | 0.89062 | 1.57787 | 1.53696 | 1.34318 |
| 16 | -0.02055 | 0.27607 | 0.90648 | 1.57348 | 1.58291 | 1.32060 |
| 17 | -0.10193 | 0.18466 | 0.74574 | 1.29545 | 1.38148 | 1.06932 |
| 18 | -0.15209 | -0.30825 | -0.64218 | -0.50332 | -0.77476 | -0.76412 |
| 19 | -0.17121 | -0.46886 | -1.36015 | -1.86930 | -2.27303 | -1.95718 |
| 20 | -0.17860 | -0.56676 | -1.53633 | -2.77061 | -3.20079 | -2.63331 |
| 21 | -0.18775 | -0.59404 | -1.81848 | -3.23478 | -4.07428 | -3.16607 |
| 22 | -0.18967 | -0.58337 | -2.30467 | -4.41709 | -4.89946 | -3.75421 |
| 23 | -0.19220 | -0.67892 | -2.45168 | -4.98215 | -6.11962 | -4.81440 |
| 24 | -0.19204 | -0.74331 | -2.19461 | -5.20779 | -7.01414 | -6.17993 |
| 25 | -0.19516 | -0.82821 | -2.16201 | -5.22942 | -7.84547 | -7.24115 |
| 26 | -0.20170 | -0.87125 | -2.13710 | -5.37252 | -8.13034 | -7.68694 |
| 27 | -0.23074 | -0.94773 | -2.12041 | -5.62187 | -8.47969 | -7.91494 |
| 28 | -0.22109 | -0.99153 | -2.06683 | -6.06487 | -8.89220 | -8.55557 |
| 29 | -0.23617 | -1.00218 | -2.04335 | -5.44755 | -9.09594 | -9.15175 |
| 30 | -0.26727 | -1.01180 | -2.02908 | -4.60417 | -9.11586 | -9.77845 |
| 31 | -0.30333 | -1.06266 | -1.97107 | -4.66106 | -9.20397 | -10.57113 |
| 32 | -0.29386 | -1.02300 | -1.93008 | -5.05611 | -8.96364 | -10.88315 |
| 33 | -0.31502 | -1.02442 | -1.95483 | -4.95521 | -9.07847 | -11.46477 |
| 34 | -0.29015 | -1.08541 | -1.99728 | -4.29946 | -8.87892 | -11.68909 |
| 35 | -0.32837 | -1.02416 | -2.06606 | -4.18778 | -8.50767 | -11.97225 |
| 36 | -0.31868 | -0.96676 | -2.05215 | -4.04209 | -8.54640 | -11.79674 |
| 37 | -0.29963 | -0.99594 | -2.10862 | -4.06729 | -8.73570 | -11.83766 |
| 38 | -0.29831 | -0.95103 | -2.11175 | -3.89180 | -9.31399 | -11.90489 |
| 39 | -0.31339 | -0.95957 | -2.09667 | -3.83602 | -8.28884 | -11.92941 |
| 40 | -0.30677 | -0.94952 | -2.10959 | -3.79343 | -6.87480 | -11.76948 |
| 41 | -0.29860 | -0.98582 | -2.15524 | -3.61604 | -6.89611 | -11.67909 |
| 42 | -0.28462 | -0.92334 | -2.10865 | -3.56001 | -7.31627 | -11.19556 |
| 43 | -0.30701 | -0.92788 | -2.06177 | -3.54507 | -7.11768 | -11.09464 |
| 44 | -0.28156 | -0.85992 | -2.13959 | -3.56690 | -6.03093 | -10.64839 |
| 45 | -0.26522 | -0.85234 | -2.02008 | -3.65208 | -5.76230 | -10.15759 |
| 46 | -0.24722 | -0.85043 | -1.88001 | -3.56646 | -5.43447 | -9.98114 |
| 47 | -0.25064 | -0.83260 | -1.86917 | -3.55469 | -5.42240 | -10.00986 |
| 48 | -0.21939 | -0.79267 | -1.77702 | -3.50484 | -5.05973 | -10.45088 |
| 49 | -0.24723 | -0.75968 | -1.74440 | -3.35427 | -4.88787 | -8.95906 |
| 50 | -0.22645 | -0.74595 | -1.69823 | -3.30843 | -4.71110 | -7.16786 |
| 51 | -0.21368 | -0.69948 | -1.69232 | -3.24759 | -4.35352 | -6.88684 |
| 52 | -0.22337 | -0.66258 | -1.55561 | -3.05023 | -4.18380 | -7.00564 |
| 53 | -0.21137 | -0.64769 | -1.52752 | -2.86499 | -4.00581 | -6.61066 |
| 54 | -0.19468 | -0.57727 | -1.37959 | -2.89967 | -3.88176 | -5.25975 |
| 55 | -0.18541 | -0.57332 | -1.31435 | -2.52224 | -3.80087 | -4.72194 |
| 56 | -0.18215 | -0.52973 | -1.26859 | -2.21907 | -3.51107 | -4.03147 |
| 57 | -0.18106 | -0.52895 | -1.19941 | -2.02406 | -3.23847 | -3.68825 |
| 58 | -0.15600 | -0.48393 | -1.06599 | -1.73867 | -2.93842 | -3.09349 |
| 59 | -0.15440 | -0.49344 | -0.96983 | -1.53008 | -2.52737 | -2.63278 |
| 60 | -0.15066 | -0.46386 | -0.70272 | -0.87793 | -1.58994 | -1.69372 |
| 61 | -0.13355 | -0.42953 | -0.54623 | -0.42318 | -0.92230 | -0.82821 |
| 62 | -0.11027 | -0.41756 | 1.07725 | 3.37315 | 5.01127 | 5.22373 |
| 63 | -0.10995 | -0.39703 | 1.87750 | 4.96390 | 7.19537 | 8.19704 |
| 64 | -0.09126 | -0.34366 | 2.19561 | 5.66189 | 8.63836 | 9.28877 |
| 65 | 0.03214 | 1.42468 | 3.62930 | 8.17604 | 10.84562 | 11.89035 |
| 66 | 0.08332 | 2.01759 | 4.00260 | 9.12123 | 11.30514 | 12.72611 |
| 67 | 0.10589 | 2.18802 | 4.54672 | 9.32454 | 12.62376 | 13.74450 |
| 68 | 0.12313 | 2.01330 | 4.61510 | 9.20669 | 12.80080 | 14.26693 |
| 69 | 0.12513 | 1.98546 | 4.85164 | 8.77018 | 13.23704 | 14.00410 |
| 70 | 0.12746 | 1.88203 | 4.76905 | 8.58007 | 13.26293 | 14.51313 |
| 71 | 0.12113 | 1.79505 | 4.63846 | 8.07733 | 12.93439 | 14.38425 |
| 72 | 0.10120 | 1.82677 | 4.70756 | 7.90979 | 12.00479 | 13.72761 |
| 73 | 0.08468 | 1.69689 | 4.50663 | 7.45657 | 11.35070 | 13.27094 |
| 74 | 0.06079 | 1.40139 | 3.95111 | 6.55330 | 10.36360 | 13.32038 |
| 75 | 0.05120 | 1.25885 | 3.57317 | 6.48068 | 9.70884 | 12.34508 |
| 76 | 0.04424 | 1.04936 | 3.23362 | 5.60420 | 9.07761 | 11.15708 |
| 77 | 0.03845 | 0.88826 | 2.95077 | 5.50110 | 8.56111 | 11.41452 |
| 78 | 0.03105 | 0.74658 | 2.39703 | 4.98130 | 7.88367 | 10.80205 |
| 79 | 0.02460 | 0.62680 | 2.12819 | 4.71851 | 7.05743 | 10.59160 |
| 80 | 0.01594 | 0.49244 | 1.80383 | 4.26151 | 6.45385 | 9.83849 |
| 81 | 0.01231 | 0.38593 | 1.52368 | 3.83303 | 5.74794 | 9.08265 |
| 82 | 0.00893 | 0.29868 | 1.27280 | 3.41431 | 5.15746 | 8.09930 |
| 83 | 0.00611 | 0.22985 | 1.04014 | 2.99974 | 4.59034 | 7.20949 |
| 84 | 0.00345 | 0.17116 | 0.83115 | 2.47169 | 3.78627 | 6.25180 |
| 85 | 0.00338 | 0.12138 | 0.63752 | 2.06451 | 3.36818 | 5.46390 |
| 86 | 0.00211 | 0.08575 | 0.48817 | 1.69763 | 2.88046 | 4.75513 |
| 87 | 0.00113 | 0.06062 | 0.37168 | 1.39110 | 2.53437 | 4.18421 |
| 88 | 0.00127 | 0.04196 | 0.27640 | 1.09715 | 2.14097 | 3.55075 |
| 89 | 0.00052 | 0.02790 | 0.20178 | 0.85477 | 1.79785 | 2.87993 |
| 90 | 0.00066 | 0.01756 | 0.13994 | 0.64042 | 1.47857 | 2.35445 |
| 91 | 0.00047 | 0.01091 | 0.09637 | 0.47932 | 1.17427 | 1.90690 |
| 92 | 0.00034 | 0.00704 | 0.06646 | 0.34824 | 0.91632 | 1.51839 |
| 93 | 0.00025 | 0.00422 | 0.04451 | 0.24942 | 0.69036 | 1.17563 |
| 94 | 0.00018 | 0.00264 | 0.02885 | 0.17049 | 0.49565 | 0.87087 |
| 95 | 0.00013 | 0.00161 | 0.01665 | 0.10968 | 0.32798 | 0.60285 |
| 96 | 0.00010 | 0.00100 | 0.00933 | 0.07238 | 0.22291 | 0.42587 |
| 97 | 0.00007 | 0.00061 | 0.00560 | 0.04775 | 0.14753 | 0.29723 |
| 98 | 0.00005 | 0.00038 | 0.00323 | 0.03137 | 0.10383 | 0.21054 |
| 99 | 0.00004 | 0.00024 | 0.00192 | 0.02020 | 0.06985 | 0.14721 |
| 100 | 0.00003 | 0.00016 | 0.00112 | 0.01254 | 0.04936 | 0.10302 |
| 101 | 0.00002 | -0.00004 | 0.00069 | 0.00599 | 0.03313 | 0.07327 |
| 102 | 0.00002 | -0.00003 | 0.00042 | 0.00465 | 0.02111 | 0.05335 |
| 103 | 0.00001 | 0.00005 | 0.00025 | 0.00307 | 0.01614 | 0.03372 |
| 104 | 0.00001 | 0.00003 | 0.00016 | 0.00206 | 0.01117 | 0.02139 |
| 105 | 0.00001 | 0.00002 | 0.00007 | 0.00138 | 0.00774 | 0.01853 |
| 106 | 0 | 0.00002 | 0.00007 | 0.00092 | 0.00403 | 0.00681 |
| 107 | 0 | 0.00001 | 0.00004 | 0.00063 | 0.00329 | -0.00169 |
| 108 | 0 | 0.00001 | 0.00003 | 0.00042 | 0.00161 | 0.00273 |
| 109 | 0 | 0 | 0.00001 | 0.00027 | 0.00117 | -0.00024 |
| 110 | 0 | 0 | 0 | 0.00015 | 0.00111 | 0.00139 |
| 111 | 0 | 0 | 0 | 0.00006 | -0.00044 | 0.00044 |
| 112 | 0 | 0 | -0.00014 | 0 | 0.00049 | -0.00250 |
| 113 | 0 | 0 | 0 | 0 | -0.00006 | 0.00037 |
| 114 | 0 | 0 | 0 | 0 | 0 | 0.00013 |
| 115 | 0 | 0 | 0 | 0 | 0 | -0.00026 |
| 116 | 0 | 0 | 0 | 0 | -0.00006 | -0.00200 |
| 117 | 0 | 0 | 0 | 0 | 0 | -0.00015 |
| 118 | 0 | 0 | -0.00001 | -0.00001 | 0 | -0.00151 |
| 119 | 0 | 0 | 0 | 0 | -0.00007 | -0.00132 |
| 120 | 0 | 0 | -0.00005 | -0.00115 | -0.00258 | -0.00836 |
| SOURCE: Author's calculations. | ||||||