Appendix D: Computing a RetiredWorker Benefit
Overview
This section provides instructions and a worksheet for computing a retiredworker benefit for persons born in the years 1938 through 1951. The worksheet assumes that the worker had no prior period of entitlement to disability benefits and did not work after becoming entitled to retiredworker benefits.
The worksheet describes the various steps used in computing a benefit. The steps are based on the following Social Security program goals:
 To provide a benefit based on lifetime earnings. Benefits are related to the 35 highest earnings years (the number of computation years), but only for years after 1950. If there are fewer than 35 years with earnings, then years of no earnings are included among the 35 computation years.
 To index lifetime earnings. Earnings used in the computation are not the actual covered earnings but an amount that reflects earnings increases in average wage levels for each year after the earnings were paid. This procedure is termed wage indexing. Currently, earnings are generally indexed to wage levels in the year the worker turns age 60. For example, for a person attaining age 62 in 2013, actual earnings in 1988 of $20,000 are indexed to $44,460.04, on the basis of 2011 wage levels. Earnings after age 60 are included at their actual (nominal) value.
 To replace a portion of the indexed earnings. Indexed earnings are averaged over the number of computation years to calculate the average indexed monthly earnings (AIME). A benefit formula is applied to the AIME to produce the primary insurance amount (PIA), the amount payable to a worker who retires at the full retirement age (FRA). The benefit formula is weighted to provide a higher replacement of earnings for lowerwage workers. The formula for persons aged 62 in 2013 is 90 percent of the first $791 of AIME; plus 32 percent of the next $3,977; plus 15 percent of the AIME over $4,768.
 To permit early retirement. Persons can retire as early as age 62, but the monthly benefit is reduced. The reduction is 5/9 of 1 percent for each of the first 36 months of entitlement immediately preceding the age at which 100 percent of PIA is payable (age 66 in 2013 but scheduled to increase to age 67 by 2022), plus 5/12 of 1 percent for each of up to 24 earlier months. For a person aged 62 in 2013, the maximum reduction is 25 percent if the individual is entitled to benefits for all 48 months between ages 62 and 66.
 To provide for price indexing after age 62. Benefits are adjusted annually in December to reflect increases in the Consumer Price Index (CPIW). The benefit increase in 2012 was 1.7 percent. These costofliving adjustments are applied to the benefit for each year after the person attained age 62—even if the person was not actually receiving benefits.
 To give credit for earnings after age 61. Earnings after age 61 (which are not indexed) can be substituted for earnings in earlier years if they result in a higher benefit.
 To give credit for late retirement. Persons who do not receive benefits between the FRA and age 69 may receive increased benefits as a result of the delayed retirement credit provision. The benefit is increased by a specified percentage for each month a benefit was deferred. See Table 2.A20 for percentage increases.
Clarifying the Worksheet Procedure
Step 1  Determining the Number of Computation Years
For workers born in the years 1938 through 1951, the number of computation years is 35.
Step 2  Wage Indexing of Earnings
The following description and examples are provided for persons who wish to compute the index factors and indexed earnings. The indexing year is the year a person attains age 60. Beneficiaries born on January 1 are deemed to have attained age 60 on December 31 of the prior year.
The average wage for the indexing year is divided by the average wage in each prior year to obtain the factor for each prior year. For example, for a person attaining age 62 in 2013, the indexing year is 2011. The average annual wage for 2011 was $42,979.61. The average annual wage for 1990 was $21,027.98. The amount $42,979.61 divided by $21,027.98 yields a factor of 2.0439248.
The worker's actual earnings covered under Social Security in that year, up to the maximum earnings creditable, are multiplied by the indexing factor to obtain the indexed earnings (see Worksheet 1). For example, actual covered earnings of $10,000 in 1990, multiplied by 2.0439248, result in indexed earnings of $20,439.25; actual earnings of $51,300 (the maximum creditable) result in indexed earnings of $104,853.34.
Step 3  Computing the Average Indexed Monthly Earnings (AIME)
After the earnings in each year have been indexed, they are used in computing average indexed monthly earnings. The years of highest indexed earnings corresponding to the number of computation years are selected and totaled. This total is then divided by the number of months in the computation years. The result, rounded to the nearest lower dollar, is the average indexed monthly earnings.
For example, for a person attaining age 62 in 2013, the highest 35 years of indexed earnings are used. If the sum of these earnings equals $400,000, the AIME is $952 ($400,000 divided by 420 months = $952.38, rounded to $952).
Step 4  Computing the Primary Insurance Amount (PIA)
The PIA, the amount from which all Social Security benefits payable on a worker's earnings record are based, is computed by applying a formula to the AIME. The formula consists of brackets in which three percentages are applied to amounts of AIME. The dollar amounts defining the brackets are called bend points, and the bend points are different for each calendar year of attainment of age 62. The PIA is rounded to the nearest lower 10 cents.
For retired workers who attained age 62 in 2013, the bend points are $791 and $4,768. Thus the formula is 90 percent of the first $791 of AIME; plus 32 percent of the next $3,977 of AIME; plus 15 percent of AIME above $4,768. The following are examples of PIA computations for such workers with different AIME amounts.
Example 1  AIME of $700
PIA is $630
Based on: 90 percent of $700
Example 2  AIME of $1,500
PIA is $938.78 rounded to $938.70
Based on: 90 percent of $791 ($711.90); plus
32 percent of $709 ($226.88)
Example 3  AIME of $5,000
PIA is $2,019.34 rounded to $2,019.30
Based on: 90 percent of $791 ($711.90); plus
32 percent of $3,977 ($1,272.64); plus
15 percent of $232 ($34.80)
The above calculations are applicable to workers who attain age 62 in 2013. For workers who attained age 62 in prior years, the bend points will be different, and the PIA must be increased to reflect costofliving adjustments between the year of attainment of age 62 and 2013. Worksheet 2 shows costofliving increase factors for 1979 through 2012. After the PIA is calculated for the year of attainment of age 62, costofliving increases are applied for each year through 2012. The result is the current 2013 PIA.
For example, a worker who attained age 62 in 2010 would receive costofliving adjustments for the years 2010–2012. The adjustments are cumulative, with each step rounded to the next lower dime. If the PIA at age 62 was $700, the costofliving adjustments would be:
2010: $700 multiplied by 1.000 = $700
2011: $700 multiplied by 1.036 = $725.20
2012: $725.20 multiplied by 1.017 = $737.50
$737.50 would be the PIA effective December 2012.
Step 5  Computation of the Monthly Benefit
The full PIA is payable to a worker who retires at the full retirement age (FRA). In 2000, incremental increases in the FRA—from age 65 for workers born 1937 and earlier to age 67 for workers born 1960 and later—began to be phased in.
Early retirement reduces benefits:
Workers can still retire as early as age 62, but the monthly benefit is reduced by 5/9 of 1 percent for each of the first 36 months of entitlement immediately preceding the FRA. If the number of months preceding FRA exceeds 36, then the benefit is further reduced 5/12 of 1 percent for each of up to 24 earlier months. Workers attaining age 62 in 2013 have their benefits computed based on the FRA of 66. See Table 2.A17.1 to determine the FRA based on the year of birth as well as the reduction factors. For individuals electing benefits at exactly age 62 in 2013, the maximum reduction is 25 percent.
For example, in 2013 a worker with a PIA of $700 would receive $525 at age 62. The PIA is reduced by $175.00, reflecting a reduction rate of 5/9 of 1 percent for each of the first 36 months and a reduction rate of 5/12 of 1 percent for each of the additional 12 months for a total reduction of 25 percent. After reduction of the PIA by $175.00, the benefit amount is rounded down to the nearest lower dollar.
Delayed retirement increases benefits:
Delayed retirement increases the benefit amount (by a certain percentage depending on a person's date of birth) if the worker delays retirement beyond FRA. Benefit increases stop accumulating when the worker reaches age 70, even if he or she continues to delay taking benefits. Delayed retirement increases begin to apply to benefits in January of the year following the year the worker reaches FRA. The credit given for delayed retirement will gradually reach 8 percent per year (16/24 of 1 percent monthly) for those born 1943 and later. See Table 2.A20 for percentage increases.
For example, a worker born in June 1947 will reach FRA in June 2013. If the worker delays receiving benefits until November 2013 (5 months after FRA), his or her benefit will be 103.33% of the PIA. If the worker's PIA is $700, his or her benefit would increase to $723.31, rounded to $723.30.
STEP 1.—Determining the Number of Computation Years  
1  Number of Computation Years.  35 
STEP 2.—Indexing of Earnings (Use Worksheet 1 for Steps 2 and 3.)  
2  Enter in column 2 your earnings in each year 1951 through 2012. If none, enter “0.”  
3  Column 3 contains the maximum earnings creditable under Social Security for each year.  
4  Enter in column 4 the lower amount from columns 2 or 3 for each year.  
5  Enter in column 5 the indexing factors applicable to the year you attained age 62 from Table 2.A8. (This table contains the indexing factors for persons attaining age 62 during the period 1998–2013.) 

6  Multiply column 4 by column 5 and enter results in column 6 in dollars and cents. These are your indexed earnings.  
STEP 3.—Computing the Average Indexed Monthly Earnings (AIME)  
7  Enter the number of computation years from line 1.  35 
8  Place an “X” in column 7 next to each of the 35 highest indexed earnings entries.  
9  Add all individual indexed earnings marked with an “X.”  
10  Number of months in the computation period.  420 
11  Divide line 9 by line 10.  
12  Round the result in line 11 to the next lower dollar. This is your average indexed monthly earnings (AIME).  
STEP 4.—Computing the Primary Insurance Amount (PIA) (Use Worksheet 2 for Step 4.)  
13  Enter first bend point from Worksheet 2 based on year of attainment of age 62. (If your birthday is January 1, enter prior year.)  
14  Enter second bend point from Worksheet 2.  
15  If your AIME (obtained in line 12) is equal to or less than line 13, complete line 16, otherwise skip to line 17.  
16  Multiply line 12 by 0.9. (If you receive a pension on the basis of noncovered employment, see Table 2.A11.1.) Round to next lower dime to obtain your PIA at age 62. Continue with line 26.  
17  If your AIME (obtained in line 12) is greater than line 13 but less than or equal to line 14, complete lines 18–20, otherwise skip to line 21.  
18  Multiply line 13 by 0.9. (If you receive a pension on the basis of noncovered employment, see Table 2.A11.1.)  
19  Subtract line 13 from line 12 then multiply by 0.32.  
20  Add line 18 to line 19, and round to next lower dime to obtain your PIA at age 62. Continue with line 26.  
21  If your AIME (obtained in line 12) is greater than line 14, complete lines 22–25.  
22  Multiply line 13 by 0.9. (If you receive a pension on the basis of noncovered employment, see Table 2.A11.1.)  
23  Subtract line 13 from line 14 then multiply by 0.32.  
24  Subtract line 14 from line 12 then multiply by 0.15.  
25  Add lines 22, 23, and 24, and round to the next lower dime to obtain your PIA at age 62. Continue with line 26.  
26  If you attained age 62 in 2013, skip to line 32. Otherwise you will need to adjust your PIA to reflect costofliving adjustments (COLAs) from the year you attained age 62 through 2012 by using lines 27–31 and Worksheet 2.  
27  Enter year of attainment of age 62.  
28  Place an “X” corresponding to the year you attained age 62 in column 5 (Worksheet 2).  
29  Place an “X” in column 5 (Worksheet 2) next to each subsequent year through 2012.  
30  Enter your PIA at age 62 from either line 16, 20, or 25—here and in the first row of column 6 (Worksheet 2).  
31  Beginning with first year marked, multiply your PIA at age 62 by the corresponding factor (column 4), round to the next lower dime, and enter in column 6. The resulting PIA is then multiplied by the next factor and is again rounded to the next lower dime. Continue this process through 2012. Enter this last figure, which is your current PIA.  
STEP 5.—Computing the Monthly Benefit  
32  Enter your current PIA from either line 16, 20, 25, or 31.  
33  Using Table 2.A17.1, determine your full retirement age and enter here.  
34  If you retired at your full retirement age, round PIA from line 32 to the next lower dollar to obtain your monthly benefit. If you retired before the full retirement age, skip to line 35. If you retired after the full retirement age, skip to line 45.  
35  If you retired before the full retirement age, enter your age at retirement in years and months, and complete lines 36–44.  
36  Subtract line 35 from line 33, and convert the result to months to determine the total number of reduction months.  
37  If line 36 is greater than 36 reduction months, subtract 36 months and enter the result here.  
38  “0.0055556” (the decimal equivalent of 5/9 of 1 percent—the monthly reduction factor for the first 36 months) has been entered.  0.0055556 
39  “0.0041667” (the decimal equivalent of 5/12 of 1 percent—the monthly reduction factor for months above 36) has been entered.  0.0041667 
40  Multiply line 36 (but not more than 36 months) by line 38 to obtain the percent reduction for the first 36 months.  
41  Multiply line 37 by line 39 to obtain the percent reduction for months in excess of 36.  
42  Add line 40 to line 41 to obtain the total percent reduction.  
43  Multiply line 32 by line 42 to obtain the amount of benefit reduction.  
44  Subtract line 43 from line 32, and round to the next lower dollar to obtain your monthly benefit.  
45  If you retired (or plan to retire) after the full retirement age, enter your actual (or planned) age at retirement in years and months, and complete lines 46–50. If you worked (or plan to work) after attaining age 70, enter “70 years 0 months.”  
46  Subtract line 33 from line 45, and convert the result to months to determine the total number of delayed months.  
47  “0.006667” (the decimal equivalent of 16/24 of 1 percent—the monthly percentage increase for persons born 1943 or later) has been entered.  0.006667 
48  Multiply line 46 by line 47 to obtain the total percent increase.  
49  Multiply line 32 by line 48 to obtain the amount of benefit increase.  
50  Add line 32 to line 49, and round to the next lower dollar to obtain your monthly benefit. 
Year  Your earnings  Maximum taxable earnings ($)  Lower of columns 2 or 3  Indexing factor  Column 4 times column 5  Highest indexed earnings 

1  2  3  4  5  6  7 
1951  3,600  
1952  3,600  
1953  3,600  
1954  3,600  
1955  4,200  
1956  4,200  
1957  4,200  
1958  4,200  
1959  4,800  
1960  4,800  
1961  4,800  
1962  4,800  
1963  4,800  
1964  4,800  
1965  4,800  
1966  6,600  
1967  6,600  
1968  7,800  
1969  7,800  
1970  7,800  
1971  7,800  
1972  9,000  
1973  10,800  
1974  13,200  
1975  14,100  
1976  15,300  
1977  16,500  
1978  17,700  
1979  22,900  
1980  25,900  
1981  29,700  
1982  32,400  
1983  35,700  
1984  37,800  
1985  39,600  
1986  42,000  
1987  43,800  
1988  45,000  
1989  48,000  
1990  51,300  
1991  53,400  
1992  55,500  
1993  57,600  
1994  60,600  
1995  61,200  
1996  62,700  
1997  65,400  
1998  68,400  
1999  72,600  
2000  76,200  
2001  80,400  
2002  84,900  
2003  87,000  
2004  87,900  
2005  90,000  
2006  94,200  
2007  97,500  
2008  102,000  
2009  106,800  
2010  106,800  
2011  106,800  
2012  110,100 
Year  1st bend point ($)  2nd bend point ($)  Costofliving increase (%)  Costofliving factor  Years aged 62 or older  PIA ($) 

1  2  3  4  5  6  
Age 62 PIA:  
1979  180  1,085  9.9  1.099  
1980  194  1,171  14.3  1.143  
1981  211  1,274  11.2  1.112  
1982  230  1,388  7.4  1.074  
1983  254  1,528  3.5  1.035  
1984  267  1,612  3.5  1.035  
1985  280  1,691  3.1  1.031  
1986  297  1,790  1.3  1.013  
1987  310  1,866  4.2  1.042  
1988  319  1,922  4.0  1.040  
1989  339  2,044  4.7  1.047  
1990  356  2,145  5.4  1.054  
1991  370  2,230  3.7  1.037  
1992  387  2,333  3.0  1.030  
1993  401  2,420  2.6  1.026  
1994  422  2,545  2.8  1.028  
1995  426  2,567  2.6  1.026  
1996  437  2,635  2.9  1.029  
1997  455  2,741  2.1  1.021  
1998  477  2,875  1.3  1.013  
1999  505  3,043  ^{a} 2.5  1.025  
2000  531  3,202  3.5  1.035  
2001  561  3,381  2.6  1.026  
2002  592  3,567  1.4  1.014  
2003  606  3,653  2.1  1.021  
2004  612  3,689  2.7  1.027  
2005  627  3,779  4.1  1.041  
2006  656  3,955  3.3  1.033  
2007  680  4,100  2.3  1.023  
2008  711  4,288  5.8  1.058  
2009  744  4,483  0.0  1.000  
2010  761  4,586  0.0  1.000  
2011  749  4,517  3.6  1.036  
2012  767  4,624  1.7  1.017  
2013  791  4,768  . . .  . . .  
NOTE: . . . = not applicable.  
a. The December 1999 costofliving adjustment (COLA) was originally determined to be 2.4 percent, based on the Consumer Price Index (CPI). The underlying CPI was later recomputed by the Bureau of Labor Statistics; a 2.5 percent COLA would have been consistent with the recomputed CPI. Pursuant to Public Law 106554, benefits were calculated and paid in August 2001 and later as if the December 1999 COLA had been 2.5 percent. Affected beneficiaries received a onetime payment to cover the shortfall that occurred before August 2001. 
CONTACT: (410) 9650090 or statistics@ssa.gov.