Internal Rate of Returns for Retirees

1987 to 2002

Retiring @ age 62

By

William Larsen

Social Security breaks the income of workers into four groups low, mid, high and max. The low income encompasses those who make 45% of the US average wage. Mid income are those who make 100% of the average wage. High income is defined to be those who make 160% of the average wage. Max income earners are those whose income is equal or greater than the OASI tax base.

The internal rate of return can be calculated using Social Security's data on benefits paid to the four categories of workers between 1987 and 2002. The wage can be determined for each year using Social Security criteria (45%, 100%, 160% and OASI base). Applying the applicable OASI tax for each year determines what contribution they made. Using the applicable US Treasury rate for that year, the income obtained from contributions is also known.

Reference Material:

US Average Wage since 1950

http://www.ssa.gov/OACT/COLA/AWI.html

Nominal Interest Rates on Special Issues

http://www.ssa.gov/OACT/ProgData/newIssueRates.html

Monthly Interest Rates Paid To OASI, 1937-89

http://www.ssa.gov/OACT/ProgData/interestrates1937-89.html

Charts
Category Description Single Worker Worker with Non working Spouse
Low Income Compares OASI's, Treasury and future workers rates of return low low
Mid Income mid mid
High Income high high
Max Income max max
Low Income

These charts show what % of current benefits would have been paid based on Treasury rates and one on future workers rates of return

low low
Mid Income mid mid
High Income high high
Max Income max max
This chart shows all income categories rate of return based on what OASI Benefits in 3D OASI IRR OASI IRR
This chart shows the balance of a theoretical account at death. Worker Worker & Spouse
Example of an iterative result for a low income earner based on OASI's paid rate of return OASI IRR
Example of iterative results for a low income earner based on Treasury rates paid rate of return. Treasury IRR
Balance of your theoretical account at death based on U.S. Treasury Rates paid to OASI trust fund. A negative value means this retiree took more out of the system than they contributed with compounded interest. A positive amount is the amount they would have left their family. Balance


The following tables show the results of the Internal Rate of Return Analysis.

Terms:

Year - Year retired at age 62

Benefit - Social Security Administrations initial benefit for the worker.

Last Year's Wage - Based on Social Security's PIA and criteria for income categories.

Return - This is the internal rate of return, the average retiree would earn living 20 more years.

Balance at Retirement Based on Treasury Rate - This is the theoretical balance based on U.S. Treasury Rates, Social Security's wages and OASI tax for each year worked.

Money Left in Account - This is the balance of the account based on U.S. Treasury rates and drawing out the OASI benefit defined by Social Security.

Effective Treasury Rate - This is the effective rate of return for U.S. Treasuries for this worker's working and retired years.

% of Current Benefit to Match Effective Treasury Rate - Multiply this percent by the current benefit to find out what a private account would have provided in terms of a Social Security Benefit.

% of Current Benefit to Match 2038 IRR - Multiply this percent by the current benefit to simulate the rate of return future retirees will get after 2038.
Table 1

Internal Rates of Return for Workers Retiring at age 62

Low Income Earner
Year Benefit Last Year's Wage Return Balance at Retirement Based on Treasury Rate Money Left in Account Effective Treasury Rate % of Current Benefit to Match Effective Treasury Rate % of Current Benefit to Match 2038 IRR
1987 $3,720 $7,795 10.115% $27,558 ($90,596) 7.689% 53.849% 15.558%
1988 $3,876 $8,292 9.883% $30,524 ($86,228) 7.680% 56.955% 16.420%
1989 $4,032 $8,700 9.643% $33,948 ($81,492) 7.658% 60.180% 17.367%
1990 $4,236 $9,045 9.387% $37,633 ($75,820) 7.626% 63.643% 18.395%
1991 $4,452 $9,463 9.219% $41,523 ($73,679) 7.595% 65.901% 19.125%
1992 $4,620 $9,815 9.025% $45,473 ($70,137) 7.554% 68.507% 19.967%
1993 $4,776 $10,321 8.821% $49,346 ($65,721) 7.509% 71.305% 20.878%
1994 $5,016 $10,410 8.692% $52,952 ($65,485) 7.462% 72.715% 21.353%
1995 $5,064 $10,689 8.434% $57,037 ($56,027) 7.417% 76.801% 22.611%
1996 $5,196 $11,118 8.246% $61,282 ($50,678) 7.367% 79.535% 23.488%
1997 $5,412 $11,661 8.106% $65,609 ($48,217) 7.314% 81.250% 24.085%
1998 $5,676 $12,342 8.020% $70,246 ($49,453) 7.256% 81.760% 24.355%
1999 $6,012 $12,988 7.999% $74,539 ($55,867) 7.197% 80.808% 24.180%
2000 $6,252 $13,711 7.879% $78,925 ($54,446) 7.140% 82.061% 24.699%
2001 $6,528 $14,470 7.756% $83,237 ($52,053) 7.082% 83.461% 25.319%
2002 $6,816 $14,976 7.663% $87,783 ($52,043) 7.024% 84.185% 25.716%
Mid Income Earner
Year Benefit Last Year's Wage Return Balance at Retirement Based on Treasury Rate Money Left in Account Effective Treasury Rate % of Current Benefit to Match Effective Treasury Rate % of Current Benefit to Match 2038 IRR
1987 $6,072 $17,322 8.921% $61,241 ($85,511) 7.689% 73.313% 17.266%
1988 $6,252 $18,427 8.642% $67,831 ($69,580) 7.680% 78.466% 18.427%
1989 $6,648 $19,334 8.487% $75,440 ($63,742) 7.658% 81.110% 19.057%
1990 $6,984 $20,100 8.232% $83,630 ($48,891) 7.626% 85.781% 20.168%
1991 $7,260 $21,028 8.020% $92,272 ($35,925) 7.595% 89.804% 21.185%
1992 $7,584 $21,812 7.851% $101,051 ($26,541) 7.554% 92.740% 21.949%
1993 $7,872 $22,935 7.664% $109,657 ($14,587) 7.509% 96.136% 22.830%
1994 $8,268 $23,133 7.540% $117,671 ($7,783) 7.462% 98.033% 23.310%
1995 $8,352 $23,754 7.284% $126,749 $13,862 7.417% 103.480% 24.624%
1996 $8,568 $24,706 7.098% $136,182 $29,341 7.367% 107.185% 25.534%
1997 $8,916 $25,914 6.960% $145,797 $40,660 7.314% 109.597% 26.156%
1998 $9,360 $27,426 6.884% $156,103 $45,510 7.256% 110.179% 26.374%
1999 $9,900 $28,861 6.868% $165,642 $43,379 7.197% 109.050% 26.172%
2000 $10,296 $30,470 6.754% $175,389 $53,646 7.140% 110.733% 26.687%
2001 $10,764 $32,155 6.639% $184,972 $64,768 7.082% 112.480% 27.282%
2002 $11,232 $33,280 6.549% $195,074 $73,343 7.024% 113.525% 27.682%
High Income Earner
Year Benefit Last Year's Wage Return Balance at Retirement Based on Treasury Rate Money Left in Account Effective Treasury Rate % of Current Benefit to Match Effective Treasury Rate % of Current Benefit to Match 2038 IRR
1987 $7,644 $27,715 8.651% $85,028 ($77,223) 7.761% 80.856% 16.411%
1988 $7,884 $29,482 8.336% $94,668 ($53,613) 7.744% 86.842% 17.585%
1989 $8,400 $30,934 8.152% $105,840 ($42,379) 7.714% 90.060% 18.251%
1990 $8,820 $32,159 7.853% $117,918 ($18,353) 7.672% 95.773% 19.413%
1991 $9,180 $33,645 7.600% $130,835 $3,133 7.629% 100.703% 20.456%
1992 $9,636 $34,899 7.421% $143,860 $18,175 7.581% 103.913% 21.158%
1993 $10,020 $36,697 7.207% $156,803 $38,438 7.527% 107.999% 22.028%
1994 $10,572 $37,012 7.073% $169,050 $51,314 7.472% 110.144% 22.434%
1995 $10,704 $38,006 6.797% $182,682 $83,584 7.421% 116.373% 23.666%
1996 $11,016 $39,529 6.598% $197,009 $108,164 7.365% 120.602% 24.480%
1997 $11,496 $41,462 6.446% $211,875 $128,504 7.304% 123.525% 25.025%
1998 $12,096 $43,882 6.357% $227,955 $141,562 7.240% 124.500% 25.197%
1999 $12,840 $46,178 6.339% $243,055 $145,323 7.176% 123.375% 24.930%
2000 $13,380 $48,752 6.214% $258,419 $165,950 7.114% 125.548% 25.384%
2001 $14,028 $51,448 6.088% $273,987 $188,313 7.053% 127.844% 25.901%
2002 $14,688 $53,248 5.991% $290,545 $207,774 6.992% 129.301% 26.207%
Max Income Earner
Year Benefit Last Year's Wage Return Balance at Retirement Based on Treasury Rate Money Left in Account Effective Treasury Rate % of Current Benefit to Match Effective Treasury Rate % of Current Benefit to Match 2038 IRR
1987 $7,992 $42,000 8.395% $95,831 ($54,149) 7.785% 87.161% 14.927%
1988 $8,292 $43,800 8.033% $107,867 ($25,364) 7.760% 94.081% 16.160%
1989 $8,868 $45,000 7.805% $121,759 ($8,379) 7.721% 98.138% 16.922%
1990 $9,360 $48,000 7.459% $136,967 $22,243 7.670% 104.827% 18.135%
1991 $9,780 $51,300 7.150% $153,505 $51,755 7.615% 110.903% 19.288%
1992 $10,320 $53,400 6.929% $170,406 $74,270 7.555% 114.929% 20.070%
1993 $10,788 $55,500 6.677% $187,335 $102,656 7.490% 119.843% 20.963%
1994 $11,448 $57,600 6.514% $203,739 $123,729 7.424% 122.588% 21.416%
1995 $11,664 $60,600 6.196% $222,194 $166,292 7.361% 129.894% 22.643%
1996 $12,072 $61,200 5.968% $241,517 $200,883 7.295% 134.916% 23.409%
1997 $12,672 $62,700 5.801% $261,552 $230,832 7.226% 138.336% 23.855%
1998 $13,404 $65,400 5.705% $283,211 $253,454 7.154% 139.585% 23.928%
1999 $14,292 $68,400 5.686% $303,797 $266,703 7.084% 138.541% 23.586%
2000 $14,976 $72,600 5.554% $325,129 $298,989 7.017% 141.125% 23.914%
2001 $15,768 $76,200 5.414% $347,073 $335,065 6.951% 144.075% 24.319%
2002 $16,584 $80,400 5.309% $370,620 $368,935 6.887% 146.080% 24.537%


Table 2

Internal Rates of Return for Workers Retiring at age 62 with a non working spousal benefit

Low Income Earner With non working Spousal Benefit
Year Benefit Last Year's Wage Return Balance at Retirement Based on Treasury Rate Money Left in Account Effective Treasury Rate % of Current Benefit to Match Effective Treasury Rate % of Current Benefit to Match 2038 IRR
1987 $3,720 $7,795 11.640% $27,558 ($188,749) 7.689% 35.900% 10.372%
1988 $3,876 $8,292 11.410% $30,524 ($186,388) 7.680% 37.970% 10.946%
1989 $4,032 $8,700 11.170% $33,948 ($183,818) 7.658% 40.120% 11.578%
1990 $4,236 $9,045 10.912% $37,633 ($180,092) 7.626% 42.429% 12.263%
1991 $4,452 $9,463 10.747% $41,523 ($181,716) 7.595% 43.934% 12.750%
1992 $4,620 $9,815 10.553% $45,473 ($181,492) 7.554% 45.672% 13.311%
1993 $4,776 $10,321 10.347% $49,346 ($180,238) 7.509% 47.537% 13.919%
1994 $5,016 $10,410 10.212% $52,952 ($185,489) 7.462% 48.477% 14.235%
1995 $5,064 $10,689 9.955% $57,037 ($176,781) 7.417% 51.201% 15.074%
1996 $5,196 $11,118 9.764% $61,282 ($174,494) 7.367% 53.023% 15.658%
1997 $5,412 $11,661 9.620% $65,609 ($176,797) 7.314% 54.167% 16.057%
1998 $5,676 $12,342 9.525% $70,246 ($185,019) 7.256% 54.507% 16.236%
1999 $6,012 $12,988 9.492% $74,539 ($201,414) 7.197% 53.872% 16.120%
2000 $6,252 $13,711 9.365% $78,925 ($206,203) 7.140% 54.707% 16.466%
2001 $6,528 $14,470 9.239% $83,237 ($209,418) 7.082% 55.641% 16.879%
2002 $6,816 $14,976 9.138% $87,783 ($216,575) 7.024% 56.123% 17.144%
Mid Income Earner With non working Spousal Benefit
Year Benefit Last Year's Wage Return Balance at Retirement Based on Treasury Rate Money Left in Account Effective Treasury Rate % of Current Benefit to Match Effective Treasury Rate % of Current Benefit to Match 2038 IRR
1987 $6,072 $17,322 10.483% $61,241 ($245,722) 7.689% 48.875% 11.510%
1988 $6,252 $18,427 10.207% $67,831 ($231,138) 7.680% 52.311% 12.285%
1989 $6,648 $19,334 10.050% $75,440 ($232,459) 7.658% 54.073% 12.705%
1990 $6,984 $20,100 9.794% $83,630 ($220,806) 7.626% 57.187% 13.445%
1991 $7,260 $21,028 9.585% $92,272 ($212,104) 7.595% 59.870% 14.123%
1992 $7,584 $21,812 9.416% $101,051 ($209,336) 7.554% 61.827% 14.632%
1993 $7,872 $22,935 9.227% $109,657 ($203,338) 7.509% 64.091% 15.220%
1994 $8,268 $23,133 9.097% $117,671 ($205,589) 7.462% 65.355% 15.540%
1995 $8,352 $23,754 8.841% $126,749 ($185,296) 7.417% 68.987% 16.416%
1996 $8,568 $24,706 8.651% $136,182 ($174,828) 7.367% 71.457% 17.022%
1997 $8,916 $25,914 8.507% $145,797 ($171,169) 7.314% 73.065% 17.437%
1998 $9,360 $27,426 8.422% $156,103 ($178,045) 7.256% 73.452% 17.582%
1999 $9,900 $28,861 8.393% $165,642 ($196,293) 7.197% 72.700% 17.448%
2000 $10,296 $30,470 8.271% $175,389 ($196,272) 7.140% 73.822% 17.791%
2001 $10,764 $32,155 8.152% $184,972 ($194,710) 7.082% 74.987% 18.188%
2002 $11,232 $33,280 8.054% $195,074 ($197,788) 7.024% 75.684% 18.455%
High Income Earner With non working Spousal Benefit
Year Benefit Last Year's Wage Return Balance at Retirement Based on Treasury Rate Money Left in Account Effective Treasury Rate % of Current Benefit to Match Effective Treasury Rate % of Current Benefit to Match 2038 IRR
1987 $7,644 $27,715 10.300% $85,028 ($278,912) 7.761% 53.904% 10.940%
1988 $7,884 $29,482 9.991% $94,668 ($257,344) 7.744% 57.895% 11.723%
1989 $8,400 $30,934 9.808% $105,840 ($255,559) 7.714% 60.040% 12.168%
1990 $8,820 $32,159 9.510% $117,918 ($235,463) 7.672% 63.849% 12.942%
1991 $9,180 $33,645 9.261% $130,835 ($219,638) 7.629% 67.136% 13.637%
1992 $9,636 $34,899 9.083% $143,860 ($214,079) 7.581% 69.275% 14.105%
1993 $10,020 $36,697 8.867% $156,803 ($201,816) 7.527% 72.000% 14.685%
1994 $10,572 $37,012 8.724% $169,050 ($201,613) 7.472% 73.429% 14.956%
1995 $10,704 $38,006 8.448% $182,682 ($171,659) 7.421% 77.582% 15.777%
1996 $11,016 $39,529 8.243% $197,009 ($154,338) 7.365% 80.402% 16.320%
1997 $11,496 $41,462 8.081% $211,875 ($144,621) 7.304% 82.350% 16.683%
1998 $12,096 $43,882 7.979% $227,955 ($147,340) 7.240% 83.000% 16.798%
1999 $12,840 $46,178 7.943% $243,055 ($165,525) 7.176% 82.250% 16.620%
2000 $13,380 $48,752 7.808% $258,419 ($158,826) 7.114% 83.699% 16.923%
2001 $14,028 $51,448 7.673% $273,987 ($149,847) 7.053% 85.229% 17.267%
2002 $14,688 $53,248 7.563% $290,545 ($146,782) 6.992% 86.200% 17.471%
Max Income Earner With non working Spousal Benefit
Year Benefit Last Year's Wage Return Balance at Retirement Based on Treasury Rate Money Left in Account Effective Treasury Rate % of Current Benefit to Match Effective Treasury Rate % of Current Benefit to Match 2038 IRR
1987 $7,992 $42,000 10.137% $95,831 ($265,019) 7.785% 58.107% 9.952%
1988 $8,292 $43,800 9.794% $107,867 ($239,638) 7.760% 62.721% 10.773%
1989 $8,868 $45,000 9.575% $121,759 ($233,436) 7.721% 65.426% 11.281%
1990 $9,360 $48,000 9.239% $136,967 ($208,158) 7.670% 69.885% 12.090%
1991 $9,780 $51,300 8.942% $153,505 ($185,577) 7.615% 73.936% 12.858%
1992 $10,320 $53,400 8.727% $170,406 ($174,471) 7.555% 76.619% 13.380%
1993 $10,788 $55,500 8.477% $187,335 ($156,013) 7.490% 79.895% 13.975%
1994 $11,448 $57,600 8.307% $203,739 ($150,155) 7.424% 81.725% 14.277%
1995 $11,664 $60,600 7.991% $222,194 ($111,843) 7.361% 86.596% 15.095%
1996 $12,072 $61,200 7.756% $241,517 ($86,783) 7.295% 89.944% 15.606%
1997 $12,672 $62,700 7.575% $261,552 ($70,233) 7.226% 92.224% 15.903%
1998 $13,404 $65,400 7.462% $283,211 ($66,688) 7.154% 93.056% 15.952%
1999 $14,292 $68,400 7.420% $303,797 ($79,296) 7.084% 92.361% 15.724%
2000 $14,976 $72,600 7.272% $325,129 ($64,527) 7.017% 94.083% 15.943%
2001 $15,768 $76,200 7.119% $347,073 ($45,040) 6.951% 96.050% 16.212%
2002 $16,584 $80,400 6.996% $370,620 ($31,388) 6.887% 97.386% 16.358%