2005 OASDI Trustees Report

V. ASSUMPTIONS AND METHODS UNDERLYING ACTUARIAL ESTIMATES

C. PROGRAM-SPECIFIC ASSUMPTIONS AND METHODS

The demographic and economic assumptions and methods described in the previous sections are used in a set of models to project future income and cost under the OASDI program. In some cases, the economic assumptions result in the direct calculation of program parameters as described in the following subsection. These parameters affect the level of payroll taxes collected and the level of benefits paid and are calculated using formulas described explicitly in the Social Security Act. In other cases, the combination of demographic and economic assumptions are used indirectly to drive more complicated models that project the numbers of future workers covered under OASDI and the levels of their covered earnings, and the numbers of future beneficiaries and the expected levels of their benefits. The following subsections provide brief descriptions of the derivations of these program-specific factors.

1. Automatically Adjusted Program Amounts

The Social Security Act specifies that certain program amounts affecting the determination of OASDI benefits are to be adjusted annually, in general, to reflect changes in the economy. The law prescribes specific formulas that, when applied to reported statistics, produce automatic revisions in these program amounts and hence in the benefit-computation procedures. These automatic adjustments are based upon measured changes in the national average wage index (AWI) and the CPI.1 In this section, values are shown for program amounts that are subject to automatic adjustment, from the time that such adjustments became effective through 2014. Projected values for future years are based on the economic assumptions described in the preceding section of this report.

The following two tables present the historical and projected values of the CPI-based benefit increases, as well as the AWI series and the values of many of the wage-indexed program amounts. In each table, the projections are shown under the three alternative sets of economic assumptions described in the previous section. Table V.C1 includes:

Other wage-indexed amounts are shown in table V.C2. The table provides historical values from 1978, when the amount of earnings required for a quarter of coverage was first indexed, through 2005, and also shows projected amounts through 2014. These other wage-indexed program amounts are:

Figure V.C1.—Primary-Insurance-Amount Formula for the 2005 Cohort

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Figure V.C2.—Maximum-Family-Benefit Formula for the 2005 Cohort

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In addition to the program amounts affecting the determination of OASDI benefits that reflect changes in the economy, there are certain legislated changes that have affected, and will affect, benefits. Two such changes are the scheduled increases in the normal retirement age and in the delayed retirement credits. Table V.C3 shows the scheduled changes in these two important items and their effect on benefits expressed as a percentage of PIA.

2. Covered Employment

Projections of the total labor force and unemployment rate are based on Bureau of Labor Statistics definitions from the Current Population Survey (CPS), and thus represent the average weekly number of employed and unemployed persons, aged 16 and over, in the U.S. in a calendar year. Total covered workers in a year are the number of persons who have any OASDI covered earnings at any time during the year. For those aged 16 and over, projected covered employment is the sum of age-sex components, each of which is projected as a ratio to the CPS concept of employment. For those under age 16, projected covered employment is the sum of age-sex components, each of which is projected as a ratio to the Social Security area population. The projection methodology accounts for changes in the business cycle, the quarterly pattern of growth in employment within each year, changes in non-OASDI covered employment, the increase in coverage of Federal civilian employment as a result of the 1983 Social Security Amendments, and changes in the number of other immigrants estimated to be residing within the Social Security coverage area.

Covered worker rates are defined as the ratio of OASDI covered workers to the Social Security area population. The projected age-adjusted coverage rate for males age 16 and over, changes from its 2004 level of about 72.5 percent to 72.7, 72.6, and 72.7 percent for 2080 for the low cost, intermediate, and high cost assumptions, respectively. (Age-adjusted covered worker rates are adjusted to the 2003 age distribution of the Social Security area population.) For females, the projected age-adjusted coverage rate changes from its 2004 level of 61.7 percent to 63.7, 63.3, and 63.0 percent for 2080 for the low cost, intermediate, and high cost assumptions, respectively.

3. Taxable Payroll and Payroll Tax Revenue

The OASDI taxable payroll is the amount of earnings in a year which, when multiplied by the combined employee-employer tax rate, yields the total amount of taxes due from wages and self-employed income in the year. Taxable payroll is used in estimating OASDI income and in determining income and cost rates and actuarial balances. (See section IV.B.1, Annual Income Rates, Cost Rates, and Balances, for definitions of these terms.) Taxable payroll is computed from taxable earnings, defined as the sum of wages and self-employment earnings subject to the Social Security tax. Wages are adjusted to take into account the "excess wages" earned by workers with multiple jobs whose combined wages exceed the taxable earnings base. Also, from 1983 through 2001, taxable payroll includes deemed wage credits for military service. Prior to 1984, the self-employed tax rate was less than the combined employee-employer rate, thus taxable self-employed earnings were weighted to reflect this. Also, prior to 1988, employers were exempt from Social Security tax on part of their employees' tips; taxable payroll was reduced by half of this exempt amount to take this into account.

Taxable earnings for employees, employers, and the self-employed are estimated from total earnings in covered employment. Covered earnings are summed from component sectors, each of which is based on the projected growth of U.S. earnings and a factor that reflects any projected change in coverage (e.g., the increase in coverage in the Federal civilian sector due to mandatory coverage of newly hired employees). The level of taxable earnings, that is, covered earnings at or below the contribution and benefit base, is then estimated based on recent historical earnings distributions for wage and self-employed workers. The ratio of taxable to covered earnings was about 90.2, 87.4, and 83.3 percent for 1983, 1994, and 2000, respectively. The ratio then rose to about 84.8 in 2001 and 86.3 in 2002. Our preliminary estimate for 2004 is 84.9 percent, about the same as in 2001. The average annual rate of change in the ratio was about -0.3 percent between 1983 and 1994, and -0.8 percent between 1994 and 2000. The relatively faster decline between 1994 and 2000 was mainly due to a relative increase in wages for high wage earners. At least some of this decline and subsequent increase in the ratio is believed to be due to stock option activity surrounding the stock market bubble in 2000 and is not likely to recur.

However, some of the decline since 1983 is believed to be due to the change in the age-sex distribution of the workforce and other trend-like factors that are expected to continue through 2014 in all three alternatives. The projected taxable earnings ratios in 2014 are 84.2, 83.3, and 82.6 for the low cost, intermediate, and high cost assumptions, respectively. This represents average annual rates of change from 2004 of -0.1, -0.2, and -0.3 percent. After 2014, the taxable to covered ratio is held approximately constant.

Payroll tax revenue is computed by applying the appropriate tax rates to taxable wages and self-employment income, taking into account the lag between the time the tax liability is incurred and when the taxes are collected. In the case of wages, employers are required to deposit withholding taxes with the Treasury on a schedule determined by the amount of tax liability incurred. (Generally, the higher the amount of liability, the sooner the taxes must be paid—ranging from the middle of the following month to, for companies with very large payrolls, the next banking day after wages are paid.) Self-employed workers are required to make estimated tax payments on their earnings four times during the year, as well as making up any under-estimate on their individual income tax return. The pattern of actual receipts by the Treasury is taken into account when estimating self-employed tax collections.

4. Insured Population

Eligibility for benefits under the OASDI program requires some minimal level of work in covered employment. This requirement is established by a worker's accumulation of quarters of coverage (QCs). Prior to 1978, one QC was credited for each calendar quarter in which at least $50 was earned. In 1978, when quarterly reporting of earnings was replaced by annual reporting, the amount required to earn a QC (up to a maximum of four per year) was set at $250. Since then, this amount has been adjusted each year according to changes in the AWI. Its value in 2005 is $920.

There are three types of insured status which can be acquired by a worker under the OASDI program. Each of these statuses is determined by the number and recency of QCs earned. Fully insured status is acquired by any worker whose total number of QCs is greater than or equal to the number of years elapsed after the year of attainment of age 21 (and at least six). Once a worker has accumulated 40 QCs, he or she remains permanently fully insured. Disability-insured status is acquired by any fully insured worker over age 30 who has accumulated 20 QCs during the 40-quarter period ending with the current quarter; any fully insured worker aged 24-30 who has accumulated QCs during one-half of the quarters elapsed after the quarter of attainment of age 21 and up to and including the current quarter; and any fully insured worker under age 24 who has accumulated six QCs during the 12-quarter period ending with the current quarter. Currently insured status is acquired by any worker who has accumulated six QCs during the 13-quarter period ending with the current quarter. Periods of disability are excluded from the above described QC requirements for insured status (but do not reduce the minimum of six QCs).

There are many types of benefits payable to workers and their family members under the OASDI program. One of the requirements of eligibility for these benefits is the insured status of the worker. A worker must be fully insured to be eligible for a primary retirement benefit, and for his or her spouse or children to be eligible for auxiliary benefits. A deceased worker must have been either currently insured or fully insured at the time of death for his or her children (and their mother or father) to be eligible for benefits. If there are no eligible surviving children, the deceased worker must have been fully insured at the time of death for his or her surviving spouse to be eligible. A worker must be disability insured to be eligible for a primary disability benefit, and for his or her spouse or children to be eligible for auxiliary benefits.

Projections of the fully insured population, as a percentage of the Social Security area population, are made by age and sex for each birth cohort beginning with 1900. These percentages are based on 30,000 simulated work histories for each sex and birth cohort, which are constructed from past and projected coverage rates, median earnings, and amounts required for crediting QCs. These work histories are developed by a model which assumes that persons who have recently been out of covered employment are likely to remain out of covered employment. This model is driven by two sets of age-sex-specific parameters which are empirically set such that the simulated fully insured percentages reproduce fairly closely the fully insured percentages estimated from the Continuous Work History Sample from 1970 to date.

Projections of the disability-insured population, as a percentage of the fully insured population, are made by age and sex for each birth cohort beginning with 1900. These percentages are based on the same simulated work histories used to project the fully insured percentages. Additional adjustments are made to bring the simulated disability-insured percentages into close agreement with those estimated from the Continuous Work History Sample. The principal adjustment is for periods of disability (which are not explicitly taken into account in the model). These periods (which reduce the normally applicable QC requirements) have a negligible effect on fully insured status at retirement age, but a substantial effect on disability-insured status.

Projections of the currently insured population are not made. This is because the number of beneficiaries who are entitled to benefits based solely on currently insured status has been very small, and is expected to remain small in the future.

Under this procedure, the percentage of the Social Security area population aged 62 and over that is fully insured is projected to increase from its estimated level of 80.3 for December 31, 2002, to 89.3, 90.2, and 90.9 for December 31, 2080, under alternatives I, II, and III, respectively. The percentage for females is projected to increase significantly, while that for males is projected to remain relatively unchanged. Under alternative II, for example, the percentage for males is projected to decrease slightly during this period from 92.9 to 92.0, while that for females is projected to increase from 70.9 to 88.6.

5. Old-Age and Survivors Insurance Beneficiaries

The number of OASI beneficiaries is projected for each type of benefit separately, by the sex of the worker on whose earnings the benefits are based, and by the age of the beneficiary. For selected types of benefits, the number of beneficiaries is also projected by marital status.

For the short-range period, the number of retired-worker beneficiaries is developed by applying award rates to the aged fully insured population less those insured persons entitled to retired-worker, disabled-worker, aged widow(er)'s, or aged spouse's benefits, and by applying termination rates to the number of persons already receiving retired-worker benefits.

For the long-range period, the number of retired-worker beneficiaries not previously converted from disabled-worker beneficiary status is projected as a percentage of the exposed population, i.e., the aged fully insured population less persons entitled to or converted from disability benefits and insured persons entitled to widow(er)'s benefits. For age 62, a linear regression is developed based on the relationship between the historical exposed percentage and the labor force participation rate. The regression coefficients are then used to project the percentage based on the projected labor force participation rate for age 62. The percentage for ages 70 and over is assumed to be nearly 100, because the retirement earnings test and delayed retirement credit do not apply after age 70, but is adjusted for the statistical difference between in-force data and in-current-payment data. The percentage for each age 63 through 69 is projected from the December 31, 2004 retired-worker beneficiaries data which reflects the elimination of the earnings test after normal retirement age, with an adjustment for changes in the portion of the primary insurance amount that is payable at each age of entitlement. As the normal retirement age increases, the number of retired-worker beneficiaries not automatically converted from disabled-worker beneficiary status as a percentage of the exposed population is gradually adjusted downward at each age 63 through 69.

For the long-range period also, the number of retired-worker beneficiaries previously converted from disabled-worker beneficiaries is calculated separately in a manner consistent with the calculation of disabled-worker beneficiaries.

The number of aged-spouse beneficiaries is estimated from the population projected by age and sex. The benefits of aged-spouse beneficiaries are based on the earnings records of their husbands or wives, who are referred to as "wage earners." In the short-range period, insured aged-spouse beneficiaries are projected concurrently with the retired-worker beneficiaries. Uninsured aged-spouse beneficiaries are projected, on the other hand, by applying award rates to the aged uninsured male or female population, and by applying termination rates to the population already receiving such benefits. In the long-range period, aged-spouse beneficiaries are estimated from the population projected by age, sex, and marital status. To the number of spouses aged 62 and over in the population, a series of factors are applied, representing the probabilities that the spouse and the wage earner meet all of the conditions of eligibility—i.e., the probabilities that (1) the wage earner is 62 or over, (2) the wage earner is insured, (3) the wage earner is receiving benefits, (4) the spouse is not receiving a benefit for the care of an entitled child, (5) the spouse is not insured, and (6) the spouse is not eligible to receive a significant government pension based on earnings in noncovered employment. To the resulting number of spouses a projected prevalence rate is applied to calculate the estimated number of aged-spouse beneficiaries.

In addition, the same factors are applied to the number of divorced persons aged 62 and over in the population, with three differences. First, an additional factor is required to reflect the probability that the person's former wage-earner spouse is still alive (otherwise, the person may be entitled to a divorced widow(er)'s benefit). Second, a factor is required to reflect the probability that the marriage to the wage-earner spouse was at least 10 years in duration. Third, factor (3) above is not applied because, effective for January 1985, a divorced person generally need not wait to receive benefits until the former wage-earner spouse is receiving benefits.

The projected numbers of children under age 18, and students aged 18, who are eligible for benefits as children of retired-worker beneficiaries, are based on the projected number of children in the population. In the short-range period, the number of entitled children is developed by applying award rates to the number of children in the population where both parents are alive, and by applying termination rates to the number of children already receiving benefits.

In the long-range period, the number of entitled children is projected separately by sex of the wage-earner parent. To the number of children in the population, factors are applied representing the probabilities that the parent is alive, aged 62 or over, insured, and receiving a retired-worker benefit. Another factor is applied representing the probability that the child is not entitled to a benefit based on the other parent's earnings. For children aged 18, a factor representing the probability that the child is attending a secondary school is also applied.

The number of disabled children aged 18 and over of retired-worker beneficiaries is projected from the adult population. In the short-range period, award rates are applied to the population, and termination rates are applied to the number of disabled children already receiving benefits. In the long-range period, disabled children are projected in a manner similar to that for children under 18, with the inclusion of a factor representing the probability of being disabled since childhood.

In the short-range period, the number of entitled young-spouse beneficiaries is developed by applying award rates to the number of awards to children of retired workers, where the children are either under age 16 or disabled, and by applying termination rates to the number of young spouses already receiving benefits. In the long-range period, young-spouse beneficiaries are projected as a proportion of the projected number of child beneficiaries of retired workers, taking into account projected changes in average family size.

The number of aged-widow(er) beneficiaries is projected from the population by age and sex. In the short-range period, insured aged-widow(er) beneficiaries are projected concurrently with the retired-worker beneficiaries. Uninsured aged-widow(er) beneficiaries are projected, on the other hand, by applying award rates to the aged uninsured male or female population, and by applying termination rates to the population already receiving such benefits. In the long-range period, aged-widow(er) beneficiaries are projected from the population by age, sex, and marital status. Four factors are applied to the number of widow(er)s in the population aged 60 and over. These factors represent the probabilities that (1) the deceased wage earner is fully insured at death, (2) the widow(er) is not receiving a benefit for the care of an entitled child, (3) the widow(er) is not fully insured, and (4) the widow(er)'s benefits are not withheld because of receipt of a significant government pension based on earnings in noncovered employment. In addition, some insured widow(er)s who had not applied for their retired-worker benefits are assumed to receive widow(er)'s benefits. Also, the same factors are applied to the number of divorced persons aged 60 and over in the population, with additional factors representing the probability that the person's former wage-earner spouse is deceased and that the marriage was at least 10 years in duration.

In the short-range period, the number of disabled-widow(er) beneficiaries is developed by applying award rates to the uninsured male or female population, and by applying termination rates to the population already receiving a disabled-widow(er) benefit. In the long-range period, the number is projected for each age 50 up to NRA as a percentage of the widowed and divorced populations, adjusted for the insured status of the deceased spouse and the prevalence of disability.

The projected numbers of children under age 18, and students aged 18, who are eligible for benefits as survivors of deceased workers, are based on the projected number of children in the population whose mothers or fathers are deceased. In the short-range period, the number of entitled children is developed by applying award rates to the number of orphaned children, and by applying termination rates to the number of children already receiving benefits.

In the long-range period, the number of child-survivor beneficiaries is projected in a manner analogous to that for child beneficiaries of retired workers, with the factor representing the probability that the parent is aged 62 or over replaced by a factor that represents the probability that the parent is deceased.

In the short-range period, the numbers of entitled mother-survivor and father-survivor beneficiaries are developed by applying award rates to the number of awards to child-survivor beneficiaries, where the children are either under age 16 or disabled, and by applying termination rates to the number of mother-survivors and father-survivors already receiving benefits. In the long-range period, mother-survivor and father-survivor beneficiaries are estimated from the number of child-survivor beneficiaries, taking into account projected changes in average family size.

The number of parent-survivor beneficiaries is projected based on the historical pattern of the number of such beneficiaries.

Table V.C4 shows the projected number of beneficiaries under the OASI program by type of benefit. Included among the beneficiaries who receive retired-worker benefits are some persons who also receive a residual benefit consisting of the excess of an auxiliary benefit over their retired-worker benefit. Estimates of the number of such residual payments are made separately for spouses and widow(er)s.

Notes:
1. The number of beneficiaries does not include uninsured individuals who receive benefits under Section 228 of the Social Security Act. Costs are reimbursed from the General Fund of the Treasury for most of these individuals.
2. Totals do not necessarily equal the sums of rounded components.

6. Disability Insurance Beneficiaries

Benefits are paid from the DI Trust Fund to individuals who satisfy the disability-insured requirements, who are unable to engage in substantial gainful activity due to medically determinable physical or mental impairment severe enough to satisfy the requirements of the program, and who have not yet attained normal retirement age. Spouses and children of such disabled workers may also receive DI benefits provided they satisfy certain criteria, mostly depending upon age or the age of a child in the care of the non-disabled spouse. In projecting future benefit outlays from the DI Trust Fund, the number of DI beneficiaries is projected for each type of beneficiary separately, by the sex of the disabled worker on whose earnings the benefits are based, and the age of the beneficiary. Such projections are accomplished using standard actuarial methods reflecting future additions to the DI rolls through awards of new benefits, and subtractions from the rolls due to death, recovery, or administrative conversion upon attainment of normal retirement age from status as a disabled-worker beneficiary to status as a retired-worker beneficiary. The long-range and short-range models used to make these projections are both constructed from this basic outline, but differ in some details reflecting their respective uses.

The number of new entitlements to disabled-worker benefits during each year is projected by applying assumed age-sex-specific disability incidence rates to the projected disability-exposed population.2 Long-range ultimate disability incidence rates are selected based on careful analysis of historical patterns and expected future conditions, including the impact of scheduled increases in the normal retirement age.3 Incidence rates for the first half of the short-range period reflect the most recent actual experience along with consideration of other factors expected to affect the processing of disability claims in the near term. Over the latter half of the short-range period, incidence rates are assumed to trend into levels consistent with the long-range ultimate incidence rate assumptions.

These assumed incidence rates are summarized in figure V.C3 and table V.C5. As illustrated in figure V.C3, incidence rates have varied within a wide range over the past 30 years. Although not completely understood, this variation is attributed in large part to a variety of demographic and economic factors, along with the effects of changes due to legislation and program administration.4 The solid lines in figure V.C3 illustrate values of the summarized incidence rate, age-sex adjusted to the distribution of the disability-exposed population for 2000. Such adjustment facilitates meaningful comparisons over long periods of time. From a historically high level of about 7.2 awards per thousand insured in 1975, age-sex-adjusted rates declined to about 3.7 per thousand by 1982. Following a gradual trend upward, rates increased to about 5.8 per thousand by 1992, but declined from that point to about 4.7 per thousand in 2000. As described in chapter IV, in the discussion of the short-range DI estimates, the incidence rate experience for 2001-04, and the projections for 2005-10, are affected by a one-time special workload. In addition to historical values, figure V.C3 displays the age-sex-adjusted short-range incidence rates under the three alternative sets of assumptions. Gross (unadjusted) incidence rates are also shown in figure V.C3 in dashed lines. These unadjusted rates are heavily influenced by the changing age-sex distribution of the exposed population over time. This is especially noticeable in the period after 2000 when the aging baby-boom generation will be concentrated in the ages of highest disability incidence.

Figure V.C3.—DI Disabled Worker Incidence Rates, 1970-2014

[Awards per thousand disability exposed]

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Table V.C5 presents the long-range ultimate incidence rate assumptions age-sex adjusted to the disability-exposed population as of January 1, 2000. The table also indicates the year in which the ultimate values are attained, along with an indication of the relationship between those ultimate rates and the rates for the base period (1994-96) that was used to develop relative levels of disability incidence by age and sex for long-range assumptions.