ACTUARIAL NOTE
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|
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SOCIAL SECURITY ADMINISTRATION
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Number 146 June 2005
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Office of the Chief Actuary Baltimore, Maryland
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Death Termination Experience for DI disabled workers and SSI disabled adults with HIV-related impairments
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by Nettie Barrick and Tim Zayatz, A.S.A.
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Introduction
It has been over 20 years since disabled beneficiaries first appeared on the Social Security Disability Insurance (DI) and Supplemental Security Income (SSI) rolls as a result of Acquired Immunodeficiency Syndrome (AIDS). Since the first several hundred of such beneficiaries began receiving payments in 1982, the Social Security Administration has monitored the epidemic's impact on expenditures from the DI Trust Fund as well as expenditures of Federal general revenue under the SSI program.
This monitoring process has involved periodic examinations of agency administrative records for cases on the DI or SSI program rolls that could be identified as receiving disability benefits, at least in part, due to infection with the Human Immunodeficiency Virus (HIV). The results of these analyses were used to produce rough estimates of historical and projected program expenditures due to HIV. Modeling the impact of HIV on program expenditures required an understanding of the circumstances causing HIV-infected persons to apply for benefits, the factors involved in favorable disability determinations, and the reasons that HIV beneficiaries leave the rolls.
The primary reason for termination of benefits payable to HIV beneficiaries has been death, so a careful examination of mortality experience is clearly a key to understanding duration on the rolls. Prior evaluations of HIV mortality had been done on a rough aggregate basis. The purpose of this note is to present the detailed results of the first person-based mortality study of the extensive data that we have collected. The current study is based on a total of roughly 1.4 million life-years of exposure distributed over two 5-year periods: 1992-96 and 1997-2001, and represents the most extensive case study of HIV mortality produced from administrative records.
History of the HIV data collection project
As indicated, this study represents the culmination of two decades of efforts to track the impact of HIV on the cash benefit programs administered by the Social Security Administration (SSA). The agency's collection of administrative data that provide the basis for this study was developed over time as the world's scientific community gained a greater understanding of the effects of HIV infection on diverse body systems. Those findings have, in turn, come to affect SSA's evaluation of claims for disability benefits based on the presence of the infection. To fully appreciate the value of the current study, as well as its limitations, it is important to have some understanding of how SSA's collection of HIV data has evolved over the past 20 years.
In the early years of the HIV epidemic, infected persons who presented themselves as claimants for DI or SSI benefits, most often did so as a result of one or more diseases, such as Kaposi's sarcoma and pneumocystis carinii pneumonia. These particular diseases appeared to be present primarily due to an impaired immune system which resulted from the presence of an HIV infection. Such claims were tentatively identified as being associated with HIV, and the claims folders were forwarded to SSA headquarters for confirmation. The first data collection on HIV claimants was the result of this manual examination of claims folders.
As the HIV epidemic spread, and the number of disability claims grew correspondingly, SSA could no longer manage the "hand-selection" of cases for its compilation of HIV data. As a proxy for the manual identification process, the Office of the Chief Actuary compiled a list of certain impairment codes commonly assigned to HIV cases, which was then used to electronically retrieve the corresponding administrative records from SSA's two main payment record filesthe Master Beneficiary Record (MBR) for DI and the Supplemental Security Record (SSR) for SSI.
However, since no single impairment code yet existed for HIV, and since the assignment of impairment codes can be subject to some misclassification in the claims taking process, the selection of cases included in SSA's compilation of HIV data was exposed to both type I and type II error. Nevertheless, the overall characteristics of the cases identified seemed consistent with the cases that had been identified in the earlier manual folder evaluation, providing some assurance that the cases under study were to a large degree correctly identified.
When the World Health Organization introduced ICD series 042.0-044.9 specifically for HIV-related diseases, SSA followed with a corresponding series of impairment codes. At that time all HIV-related impairments were to be assigned a diagnosis code in that range. As a result, the collection of data shifted to identifying new cases using the now-familiar HIV diagnosis codes of 042, 043, and 044, while continuing to track the experience of HIV cases that had been identified under prior evaluations.
Soon after, some information was added to the data collection process from the agency's transactions file for disability claims processed by the State Disability Determinations Servicesknown as the 831 file. In addition to the primary diagnosis codewhich is carried on the MBR and SSRthe 831 file also contains a secondary diagnosis code. This code allowed us to identify additional cases involving HIV as a contributing (if not the primary) reason for impairment.
Since 1990, our process for collecting HIV data has remained relatively unchanged. Administrative data on previously identified cases is updated every six months, in June and December. At the same time, newly-identified HIV beneficiary cases are added to the data collection.
SSA's evaluation of HIV-related impairments
In addition to changes in the way we have collected data on HIV cases, the standards used to evaluate potential HIV disability claims have also been modified over time as medical knowledge of HIV has progressed. While SSA has tried to remain consistent with the criteria and rationale of the Centers for Disease Control and Prevention (CDC) and World Health Organization, the agency has found it necessary to define its own guidelines for evaluating HIV-related impairments from the perspective of administering the DI and SSI programs. The SSA definition and medical listings with regard to HIV have evolved from the earliest definitions provided by CDC when the disease was first listed under infectious/parasitic category, to the time when HIV received its own regulatory listing in the Listing of Impairments in June 1993.
As the spectrum of manifestations of HIV-infection became better defined, it became apparent that some progressive and seriously disabling conditions were not included in the definition of AIDS. In addition, clinicians began to identify a group of individuals with a variety of signs and symptoms which were thought to be caused by the HIV virus. The collection of these symptoms came to be known as AIDS-Related Complex (ARC). Effective September 1987, the CDC began using a revised criteria for determining which cases involving HIV should be reported for AIDS statistical surveillance purposes. The revision expanded the definition to include HIV Dementia and HIV Wasting. To remain consistent, SSA revised its definition for AIDS, but discontinued the automatic link with the CDC definition. The revised criteria lead to reclassifying as AIDS a number of then-current beneficiaries who were on the disability rolls due to ARC, rather than a definitively diagnosed case of AIDS. During this time, the number of AIDS-related impairments on the DI rolls grew rapidly from 5,700 at the end of 1986 to 17,400 by the end of 1988.
In 1990, SSA issued new guidelines to include criteria for symptomatic HIV which is not AIDS, including all lymphomas and other disease manifestations coupled with 200 CD4 count and marked functional limitations. The expanded guidelines resulted in a new class of HIV impairments, and by 1992, the DI program had experienced its most critical year for new HIV entitlements as an additional 33,000 workers began receiving payments. However, the death rate among those afflicted was so high that monthly benefit payments were often made only for a relatively short period of time, if at all. Many never received payments, failing to survive the requisite 5-month waiting period under the DI program. One-third of those who made it onto the rolls because of HIV impairments had died by the end of the calendar year in which they became entitled; two-thirds had died by the end of the following year.
By 1996, CDC began reporting sharp declines in AIDS incidence as a result of public awareness and widespread use of highly-active antiretroviral therapy (HAART) which slows the reproduction of the virus and thus the progression of HIV infection to AIDS. By 1998, CDC reported a leveling of incidence and essentially no change from 1999 to 2001 with roughly 41,000 new AIDS cases reported each year over that period. DI entitlements followed the decline in population incidence as infected workers remained employed for longer periods of time. Since peaking in 1992, the number of workers becoming entitled to DI benefits based on HIV has fallen in recent years to roughly 10,000 annually.
Mortality 1997-2001
As of December 31, 2002, the CDC reported nearly 385,000 persons in the U.S. living with AIDS, and an estimated 41,000 new diagnoses of AIDS infections occurring annually. From the beginning of the epidemic through 2002, CDC estimates that roughly 502,000 persons have died with AIDS in the U.S.
Social Security records on HIV impairments show that by the end of 2002, there were nearly 98,500 workers receiving DI benefitswith approximately 10,500 becoming newly entitled in that yearand roughly 72,000 individuals receiving SSI benefits. Over the 10-year period covered by this study (1992-2001), approximately 204,100 HIV beneficiaries were terminated from the DI and SSI rolls as a result of death.
Results found in this study reflect DI (worker only) and SSI disability experience. We caution against viewing these results as a proxy for the HIV/AIDS mortality of the population being monitored by CDC. Only a fraction of those diagnosed with the HIV infection or full-blown AIDS actually become eligible for DI or SSI benefits. Many remain in the work force for extended periods of time, delaying, perhaps indefinitely, pursuit of disability benefits. For those who attain beneficiary statusand subsequently come under observationthe infection has progressed to the point of being disabling. Consequently, the make-up of the HIV population that is the basis for this study is quite different from the overall AIDS population tracked by CDC. Furthermore, the primary variable of interest for this mortality study is duration since becoming entitled to disability benefits. The time of initial diagnosis of HIV may not be known, and therefore the amount of time from onset of the infection to death cannot be measured.
As mentioned earlier, the expansion of the guidelines in 1990 more clearly defined the aspects of disability for individuals who had HIV, but had not progressed to the point of having AIDS or showed other severe manifestations of the infection. For purposes of this study, HIV infection must be present and would be a contributing factor (if not the primary reason) for a favorable disability determination.
The main section of this study presents HIV mortality experience for the DI and SSI rolls over the period 1997-2001. For comparison, similar actuarial tables are provided in appendix A for 1992-96. Dramatic differences in mortality exist between the two 5-year periods. Among male beneficiaries in early durations, HIV mortality for 1997-2001 ranges from 30-50 percent of HIV mortality for 1992-96. Mortality improvements in later durations are less dramatic, but still significant, ranging from 50-75 percent of the earlier period. A similar comparison for females shows mortality for 1997-2001 is 40-60 percent of the previous period in early durations, and 60-80 percent in later durations.
Much of the decline in mortality experience among DI and SSI recipients appears to be consistent with the wider use of HAART. To a lesser extent, the improvement may also be the result of differences in the composition of the rolls between the two periods. Over the period 1992-96, the number of individuals that appeared on the disability rolls with HIV as the primary reason for impairment was greater than those for whom HIV was the secondary reason by a ratio of 10-to-1. During 1997-2001, this ratio had dropped to less than 7-to-1. Furthermore, the ratio of symptomatic HIV cases to asymptomatic HIV cases fell from roughly 6-to-1 in the earlier period, to 4-to-1 in the later period. Data suggest that cases having HIV impairment as the secondary diagnosis rather than the primary diagnosis, or an asymptomatic HIV diagnosis rather than symptomatic HIV diagnosis, exhibit inherently lower mortality. Consequently, a relatively higher concentration of lower-mortality individuals on the rolls contributes to lower overall mortality.
Tables 1A and 1B show select-and-ultimate probabilities of death for male and female HIV disabled beneficiaries, by select age (that is, age at entitlement/eligibility to disability benefits) and duration since selection. Data reflect the combined actual experience of the DI and SSI rolls from January 1, 1997 through December 31, 2001. The probability of death among HIV beneficiaries is generally highest within the first several durations, then typically decreases in later durations. In comparing HIV mortality to general disability mortality, we see several common characteristics found in the overall disability population do not necessarily hold for HIV experience. Deviations may be due to uncertainty over the length of time individuals have been infected, and the degree of therapy received. Certain characteristics generally seen in mortality patterns in the overall disability population appear to be less influential in the HIV disability population. These include:
- Gender differencesthe probability of death for females exceeds that for males in less than 3 percent of all attained ages in the general disability population. This phenomenon occurs roughly 20 percent of the time in the HIV disability population, often at younger select ages and either very early or very late durations.
- General demographic factorssuch as age of the beneficiarywould normally play a more dominant role in determining mortality for later durations. The general disability population exhibits a smoother progression of death probabilities across durations; whereas the HIV population shows greater fluctuation from one duration to the next.
Over the period 1997-2001, male HIV mortality ranges from one-and-a-half to three times that of overall disability mortality for early durations, and up to four times as high for later durations. Female HIV mortality can be three to six times as high as overall disability mortality over the same period. Several unique circumstances were encountered in the data that affect mortality estimates. These include death within the disability waiting period, and cases where HIV is present but is not material to benefit allowance. These and other data considerations are discussed in appendix B.
A survival table is a concise way of representing the probabilities of a particular population living to a particular age. Tables 2A and 2B show the progression of a series of cohortseach for a given select agereflecting the probabilities of death shown in tables 1A and 1B. See appendix B for details on table construction and usage.
Tables 3A and 3B show the expected future lifetime of male and female HIV disabled beneficiaries. Females have a higher future lifetime than males. As with general disability mortality, HIV beneficiaries often exhibit a shorter life expectancy in the first several years of entitlement than in later durations. This is due to higher mortality in those years.
Tables 4 and 5 show aggregate probability of death and expected future lifetime, by select and attained ages. Probabilities are exposure-weighted averages of those found in tables 1A and 1B. They represent the average probability of death, within one year, for those originally entitled to disability benefits at a particular select age (table 4), or those entitled to disability benefits who have attained a particular age (table 5). Similarly, aggregate future lifetime represents the life expectancy for those of a particular select or attained age. These values are exposure-weighted averages of the select-and-ultimate future lifetimes shown in tables 3A and 3B.
Table 6 shows aggregate results based on years since selection, or duration. Probabilities are based on aggregate counts of exposure and deaths across all select ages, and represent the average probability of death within the next year of entitlement to disability benefits. Aggregate future lifetime represents the average life expectancy for all those who have been entitled to disability benefits for the stated number of years.
Tables 7A and 7B show select-and-ultimate probabilities of death for HIV disabled beneficiaries by select age and duration. These tables are similar to tables 1A and 1B, however they reflect only the experience of the DI rolls. As such, beneficiaries may be concurrently eligible for DI and SSI benefits, but those eligible for SSI only are not considered.
When comparing tables 1A-1B to tables 7A-7B, we observe that the mortality of the combined DI and SSI rolls is higher than that of the DI rolls in roughly two-thirds of all attained ages; this proportion increases to roughly three-fourths when considering only durations 5 and later. This indicates somewhat higher mortality among those receiving only SSI benefits (whose experience is included in tables 1A-1B, but not in tables 7A-7B) than among DI beneficiaries, particularly for older attained ages. Reasons for higher SSI mortality may be related to the means-tested nature of the SSI program itself. By definition, SSI-only recipients are of lesser economic means and typically uninsured for DI benefits and, hence, ineligible for any Medicare benefits that are available under the DI program. Generally, SSI recipients are categorically eligible for Medicaid. However, prior to SSI eligibility, medical assisitance through Federal or State sponsored programs may not have been available. The lack of medical treatmentboth prior to and during eligibilitymay contribute to higher mortality rates.
Similar tables for combined experience from January 1, 1992 through December 31, 1996 are presented in appendix A.
Table 1A.Male HIV Disabled Beneficiaries
Probability of Death
(1997-2001 Social Security DI and SSI disability experience)
Select age
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Duration of disability
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Attained age
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0
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1
|
2
|
3
|
4
|
5
|
6
|
7
|
8
|
9
|
10 or more
|
18
|
0.072424
|
0.061970
|
0.049041
|
0.044395
|
0.039615
|
0.062552
|
0.050563
|
0.057413
|
0.046820
|
0.039698
|
0.016877
|
28
|
19
|
0.067844
|
0.068649
|
0.060102
|
0.051266
|
0.048380
|
0.064879
|
0.054528
|
0.056563
|
0.050111
|
0.039005
|
0.022984
|
29
|
|
|
|
|
|
|
|
|
|
|
|
|
|
20
|
0.064963
|
0.073503
|
0.071242
|
0.059366
|
0.055251
|
0.065836
|
0.056733
|
0.056155
|
0.052490
|
0.038579
|
0.028405
|
30
|
21
|
0.066546
|
0.078799
|
0.081851
|
0.067355
|
0.060825
|
0.063942
|
0.057519
|
0.056165
|
0.054115
|
0.040173
|
0.033340
|
31
|
22
|
0.072324
|
0.086560
|
0.089234
|
0.073580
|
0.065340
|
0.063329
|
0.056180
|
0.056407
|
0.057050
|
0.042813
|
0.038440
|
32
|
23
|
0.080407
|
0.091846
|
0.093061
|
0.077980
|
0.068095
|
0.060679
|
0.052140
|
0.058231
|
0.061400
|
0.046054
|
0.043497
|
33
|
24
|
0.088382
|
0.091723
|
0.094113
|
0.079606
|
0.071543
|
0.058835
|
0.048438
|
0.060613
|
0.063335
|
0.048721
|
0.045157
|
34
|
|
|
|
|
|
|
|
|
|
|
|
|
|
25
|
0.095077
|
0.088169
|
0.091669
|
0.078076
|
0.071820
|
0.060192
|
0.047746
|
0.060269
|
0.060925
|
0.052236
|
0.046840
|
35
|
26
|
0.098407
|
0.084635
|
0.087606
|
0.077251
|
0.068332
|
0.060435
|
0.051807
|
0.058921
|
0.056224
|
0.054558
|
0.050940
|
36
|
27
|
0.099076
|
0.084135
|
0.086235
|
0.077844
|
0.065436
|
0.059663
|
0.056796
|
0.056627
|
0.053400
|
0.054879
|
0.052618
|
37
|
28
|
0.096614
|
0.081876
|
0.085671
|
0.076535
|
0.067543
|
0.061464
|
0.058762
|
0.055881
|
0.052606
|
0.056308
|
0.054454
|
38
|
29
|
0.095514
|
0.080739
|
0.082391
|
0.073460
|
0.065730
|
0.059894
|
0.059900
|
0.054818
|
0.051790
|
0.057995
|
0.053766
|
39
|
|
|
|
|
|
|
|
|
|
|
|
|
|
30
|
0.098075
|
0.082003
|
0.080945
|
0.070926
|
0.066397
|
0.060144
|
0.058286
|
0.052993
|
0.050554
|
0.057884
|
0.054635
|
40
|
31
|
0.105141
|
0.080829
|
0.079860
|
0.067207
|
0.066918
|
0.060372
|
0.055105
|
0.052590
|
0.052181
|
0.056308
|
0.059580
|
41
|
32
|
0.106784
|
0.081482
|
0.078830
|
0.070700
|
0.066557
|
0.058501
|
0.056156
|
0.051882
|
0.054628
|
0.054098
|
0.060942
|
42
|
33
|
0.102632
|
0.080881
|
0.077698
|
0.071781
|
0.066740
|
0.061156
|
0.061485
|
0.052391
|
0.061413
|
0.052325
|
0.060479
|
43
|
34
|
0.100541
|
0.080806
|
0.079623
|
0.069893
|
0.067752
|
0.066658
|
0.061722
|
0.054631
|
0.063452
|
0.055974
|
0.061777
|
44
|
|
|
|
|
|
|
|
|
|
|
|
|
|
35
|
0.099457
|
0.079650
|
0.079024
|
0.072943
|
0.072329
|
0.069893
|
0.058148
|
0.057933
|
0.062774
|
0.062264
|
0.064911
|
45
|
36
|
0.101599
|
0.078694
|
0.076795
|
0.072894
|
0.070951
|
0.070526
|
0.061498
|
0.061874
|
0.059468
|
0.069090
|
0.067332
|
46
|
37
|
0.104829
|
0.079212
|
0.077374
|
0.070885
|
0.073004
|
0.066536
|
0.063171
|
0.063272
|
0.061576
|
0.075098
|
0.068115
|
47
|
38
|
0.109102
|
0.083811
|
0.080687
|
0.072044
|
0.070583
|
0.062784
|
0.066599
|
0.065365
|
0.065264
|
0.075316
|
0.068800
|
48
|
39
|
0.113059
|
0.084416
|
0.081142
|
0.071814
|
0.070783
|
0.066801
|
0.069815
|
0.067368
|
0.068998
|
0.073892
|
0.069489
|
49
|
|
|
|
|
|
|
|
|
|
|
|
|
|
40
|
0.118663
|
0.084208
|
0.083062
|
0.072838
|
0.073169
|
0.070082
|
0.070110
|
0.068395
|
0.070498
|
0.071233
|
0.069198
|
50
|
41
|
0.118099
|
0.082197
|
0.081002
|
0.075125
|
0.073089
|
0.074186
|
0.069905
|
0.069130
|
0.072888
|
0.072268
|
0.070891
|
51
|
42
|
0.114107
|
0.081139
|
0.078327
|
0.074788
|
0.075417
|
0.078234
|
0.069649
|
0.070990
|
0.078059
|
0.075851
|
0.073921
|
52
|
43
|
0.114507
|
0.084619
|
0.079357
|
0.078941
|
0.077719
|
0.076880
|
0.073473
|
0.073125
|
0.079232
|
0.079797
|
0.071723
|
53
|
44
|
0.115781
|
0.086245
|
0.077773
|
0.081938
|
0.080629
|
0.076451
|
0.075154
|
0.075229
|
0.079684
|
0.083732
|
0.068283
|
54
|
|
|
|
|
|
|
|
|
|
|
|
|
|
45
|
0.118907
|
0.088921
|
0.077261
|
0.081640
|
0.084272
|
0.076000
|
0.074770
|
0.076949
|
0.079540
|
0.086777
|
0.063994
|
55
|
46
|
0.123508
|
0.092586
|
0.078050
|
0.079662
|
0.080987
|
0.074157
|
0.075519
|
0.078654
|
0.079634
|
0.086510
|
0.061175
|
56
|
47
|
0.130179
|
0.094964
|
0.078655
|
0.078263
|
0.075861
|
0.071391
|
0.074388
|
0.077342
|
0.079527
|
0.082762
|
0.061600
|
57
|
48
|
0.133785
|
0.093103
|
0.078087
|
0.077062
|
0.073338
|
0.070598
|
0.071527
|
0.076444
|
0.078246
|
0.079950
|
0.065649
|
58
|
49
|
0.134264
|
0.091728
|
0.076766
|
0.072519
|
0.073124
|
0.068314
|
0.070221
|
0.075524
|
0.078759
|
0.081462
|
0.070128
|
59
|
|
|
|
|
|
|
|
|
|
|
|
|
|
50
|
0.134128
|
0.090194
|
0.081422
|
0.073132
|
0.075903
|
0.068483
|
0.074628
|
0.077927
|
0.079951
|
0.086466
|
0.072926
|
60
|
51
|
0.136355
|
0.091824
|
0.086613
|
0.079117
|
0.080415
|
0.073393
|
0.081526
|
0.080458
|
0.082951
|
0.091564
|
0.074809
|
61
|
52
|
0.131513
|
0.092727
|
0.091178
|
0.081191
|
0.082324
|
0.081563
|
0.087694
|
0.083939
|
0.084703
|
0.093596
|
0.075441
|
62
|
53
|
0.127985
|
0.089593
|
0.093635
|
0.083973
|
0.084930
|
0.090748
|
0.093568
|
0.087702
|
0.086421
|
0.095216
|
0.078608
|
63
|
54
|
0.123458
|
0.086888
|
0.092847
|
0.084004
|
0.086900
|
0.099208
|
0.095610
|
0.091650
|
0.086957
|
0.095312
|
0.081749
|
64
|
|
|
|
|
|
|
|
|
|
|
|
|
|
55
|
0.119988
|
0.085150
|
0.090099
|
0.084302
|
0.088948
|
0.103877
|
0.098470
|
0.094977
|
0.086312
|
0.093314
|
0.083978
|
65
|
56
|
0.117971
|
0.085425
|
0.090823
|
0.082740
|
0.087678
|
0.106907
|
0.099372
|
0.094788
|
0.087054
|
0.089746
|
0.085838
|
66
|
57
|
0.118847
|
0.086343
|
0.094964
|
0.081157
|
0.088624
|
0.104431
|
0.098312
|
0.093651
|
0.088396
|
0.087239
|
0.085478
|
67
|
58
|
0.120873
|
0.088290
|
0.099041
|
0.077703
|
0.088823
|
0.099500
|
0.098529
|
0.091583
|
0.089062
|
0.085175
|
0.084091
|
68
|
59
|
0.126070
|
0.092257
|
0.102476
|
0.079562
|
0.088125
|
0.093112
|
0.099982
|
0.088988
|
0.088200
|
0.083563
|
0.083550
|
69
|
|
|
|
|
|
|
|
|
|
|
|
|
|
60
|
0.134891
|
0.100136
|
0.106536
|
0.088520
|
0.088327
|
0.089833
|
0.102695
|
0.086674
|
0.085556
|
0.082145
|
0.085288
|
70
|
61
|
0.150343
|
0.109907
|
0.110088
|
0.101728
|
0.091308
|
0.090793
|
0.103014
|
0.084766
|
0.082063
|
0.081182
|
0.090119
|
71
|
62
|
0.165753
|
0.122347
|
0.116606
|
0.113242
|
0.099408
|
0.093314
|
0.101613
|
0.082816
|
0.077225
|
0.079324
|
0.098050
|
72
|
63
|
0.180508
|
0.136352
|
0.123795
|
0.122920
|
0.108350
|
0.096861
|
0.098319
|
0.081047
|
0.072080
|
0.077168
|
0.107429
|
73
|
64
|
0.195326
|
0.153054
|
0.128732
|
0.132037
|
0.117092
|
0.101297
|
0.094211
|
0.078433
|
0.066512
|
0.075118
|
0.117143
|
74
|
Notes:
1. Select age denotes age last birthday at entitlement to disability benefits. Duration measured in years since selection. Attained age calculated as sum of select age and duration. Results do not include auxiliary beneficiaries payable under the DI program.
2. The value q[x]+t at duration t represents the probability of deathin a multiple-decrement environmentduring the (t+1) year of entitlement for those originally entitled to disability benefits at select age [x] who have attained age [x]+t.
3. Select-and-ultimate table is read across the row for 0-10 years since selection, and down the last (ultimate) column for 10 or more years since selection.
4. Results have been graduated using the Whittaker-Henderson Type B two-dimensional method.
Table 1B.Female HIV Disabled Beneficiaries
Probability of Death
(1997-2001 Social Security DI and SSI disability experience)
Select age
|
Duration of disability
|
Attained age
|
0
|
1
|
2
|
3
|
4
|
5
|
6
|
7
|
8
|
9
|
10 or more
|
18
|
0.064609
|
0.081446
|
0.107080
|
0.089289
|
0.059634
|
0.059502
|
0.042750
|
0.027047
|
0.016714
|
0.020978
|
0.033417
|
28
|
19
|
0.068166
|
0.081637
|
0.107334
|
0.083497
|
0.060611
|
0.060633
|
0.039327
|
0.029339
|
0.024983
|
0.028243
|
0.036000
|
29
|
|
|
|
|
|
|
|
|
|
|
|
|
|
20
|
0.070701
|
0.080610
|
0.106104
|
0.081262
|
0.061100
|
0.061638
|
0.038150
|
0.032900
|
0.032568
|
0.034729
|
0.039513
|
30
|
21
|
0.073713
|
0.079308
|
0.103390
|
0.080575
|
0.063096
|
0.060396
|
0.038811
|
0.038186
|
0.037934
|
0.038994
|
0.042369
|
31
|
22
|
0.078688
|
0.078482
|
0.097684
|
0.077902
|
0.066505
|
0.058778
|
0.040238
|
0.043700
|
0.041459
|
0.042491
|
0.043498
|
32
|
23
|
0.084170
|
0.078733
|
0.088757
|
0.073580
|
0.068291
|
0.056541
|
0.041704
|
0.047512
|
0.045085
|
0.044523
|
0.044505
|
33
|
24
|
0.087715
|
0.079375
|
0.081797
|
0.068049
|
0.067240
|
0.055142
|
0.045743
|
0.048720
|
0.049416
|
0.045018
|
0.047132
|
34
|
|
|
|
|
|
|
|
|
|
|
|
|
|
25
|
0.089063
|
0.083070
|
0.076883
|
0.064829
|
0.065806
|
0.054546
|
0.050215
|
0.050698
|
0.051643
|
0.046113
|
0.049899
|
35
|
26
|
0.090768
|
0.091103
|
0.075759
|
0.065604
|
0.060624
|
0.056111
|
0.051895
|
0.052628
|
0.052079
|
0.048499
|
0.050658
|
36
|
27
|
0.093297
|
0.098989
|
0.077909
|
0.067627
|
0.055029
|
0.058984
|
0.052883
|
0.053473
|
0.052439
|
0.048166
|
0.050403
|
37
|
28
|
0.095917
|
0.102971
|
0.082297
|
0.069646
|
0.052707
|
0.061202
|
0.053119
|
0.053051
|
0.052075
|
0.047330
|
0.047794
|
38
|
29
|
0.097139
|
0.101274
|
0.088516
|
0.068182
|
0.051588
|
0.060968
|
0.051537
|
0.053394
|
0.052320
|
0.050531
|
0.044905
|
39
|
|
|
|
|
|
|
|
|
|
|
|
|
|
30
|
0.099584
|
0.094261
|
0.088945
|
0.065757
|
0.053798
|
0.059035
|
0.049459
|
0.054128
|
0.052751
|
0.058151
|
0.043432
|
40
|
31
|
0.101347
|
0.088192
|
0.083976
|
0.065977
|
0.057638
|
0.059843
|
0.051498
|
0.055630
|
0.053794
|
0.064226
|
0.042132
|
41
|
32
|
0.099489
|
0.084070
|
0.080952
|
0.068760
|
0.061200
|
0.059402
|
0.054064
|
0.055611
|
0.056040
|
0.065629
|
0.042781
|
42
|
33
|
0.099569
|
0.080858
|
0.081193
|
0.071465
|
0.064705
|
0.059065
|
0.055694
|
0.055544
|
0.059571
|
0.066668
|
0.045161
|
43
|
34
|
0.098859
|
0.080301
|
0.079025
|
0.070948
|
0.066658
|
0.061882
|
0.056224
|
0.056015
|
0.062403
|
0.066524
|
0.047116
|
44
|
|
|
|
|
|
|
|
|
|
|
|
|
|
35
|
0.091966
|
0.082907
|
0.077817
|
0.072690
|
0.069538
|
0.066213
|
0.059598
|
0.058221
|
0.064705
|
0.064758
|
0.051432
|
45
|
36
|
0.090119
|
0.081516
|
0.076310
|
0.077584
|
0.072764
|
0.068850
|
0.061571
|
0.063993
|
0.063974
|
0.064026
|
0.056913
|
46
|
37
|
0.091585
|
0.079324
|
0.075935
|
0.080498
|
0.075101
|
0.069946
|
0.063272
|
0.064830
|
0.060298
|
0.063702
|
0.062123
|
47
|
38
|
0.088529
|
0.081264
|
0.075748
|
0.081292
|
0.074179
|
0.071191
|
0.065125
|
0.061153
|
0.059719
|
0.060195
|
0.064443
|
48
|
39
|
0.087623
|
0.084262
|
0.076614
|
0.081697
|
0.071131
|
0.071696
|
0.062474
|
0.059553
|
0.063029
|
0.056903
|
0.061597
|
49
|
|
|
|
|
|
|
|
|
|
|
|
|
|
40
|
0.090619
|
0.086234
|
0.074260
|
0.080456
|
0.071694
|
0.070133
|
0.063961
|
0.060622
|
0.066119
|
0.055102
|
0.055380
|
50
|
41
|
0.095149
|
0.087459
|
0.075799
|
0.077798
|
0.074393
|
0.067571
|
0.068106
|
0.065431
|
0.068019
|
0.056343
|
0.052187
|
51
|
42
|
0.101415
|
0.088470
|
0.074959
|
0.074104
|
0.077246
|
0.067779
|
0.070510
|
0.070491
|
0.066918
|
0.059821
|
0.048584
|
52
|
43
|
0.102957
|
0.088830
|
0.073037
|
0.069707
|
0.079133
|
0.066853
|
0.071424
|
0.072149
|
0.064378
|
0.063602
|
0.045681
|
53
|
44
|
0.100592
|
0.089584
|
0.072975
|
0.068015
|
0.080071
|
0.066438
|
0.072174
|
0.072503
|
0.064175
|
0.065726
|
0.045348
|
54
|
|
|
|
|
|
|
|
|
|
|
|
|
|
45
|
0.095224
|
0.089570
|
0.072805
|
0.069323
|
0.078760
|
0.066862
|
0.075563
|
0.071739
|
0.066457
|
0.066811
|
0.046353
|
55
|
46
|
0.091817
|
0.091718
|
0.076051
|
0.071288
|
0.075088
|
0.066578
|
0.075915
|
0.070091
|
0.070012
|
0.068198
|
0.047691
|
56
|
47
|
0.090380
|
0.091443
|
0.077692
|
0.070759
|
0.071480
|
0.065435
|
0.070494
|
0.067149
|
0.072545
|
0.068478
|
0.047835
|
57
|
48
|
0.092084
|
0.088144
|
0.075904
|
0.068640
|
0.069463
|
0.065347
|
0.064955
|
0.063106
|
0.073622
|
0.067603
|
0.045480
|
58
|
49
|
0.095573
|
0.083207
|
0.074178
|
0.067002
|
0.070458
|
0.066865
|
0.061957
|
0.060610
|
0.074166
|
0.067653
|
0.042944
|
59
|
|
|
|
|
|
|
|
|
|
|
|
|
|
50
|
0.101397
|
0.077982
|
0.070709
|
0.065399
|
0.072019
|
0.066741
|
0.061108
|
0.058583
|
0.074452
|
0.068742
|
0.039603
|
60
|
51
|
0.106524
|
0.075767
|
0.067611
|
0.066051
|
0.072598
|
0.066673
|
0.063299
|
0.059057
|
0.075402
|
0.071040
|
0.042245
|
61
|
52
|
0.108083
|
0.075267
|
0.066383
|
0.069576
|
0.071943
|
0.068205
|
0.067772
|
0.061808
|
0.076529
|
0.073511
|
0.043739
|
62
|
53
|
0.105394
|
0.077580
|
0.067336
|
0.073762
|
0.070900
|
0.072421
|
0.073737
|
0.065454
|
0.076328
|
0.073577
|
0.047825
|
63
|
54
|
0.102870
|
0.078956
|
0.070270
|
0.077181
|
0.070693
|
0.077537
|
0.077921
|
0.067845
|
0.074594
|
0.071855
|
0.049742
|
64
|
|
|
|
|
|
|
|
|
|
|
|
|
|
55
|
0.099982
|
0.080290
|
0.074172
|
0.077992
|
0.072202
|
0.080911
|
0.078285
|
0.068858
|
0.071920
|
0.069471
|
0.053064
|
65
|
56
|
0.097731
|
0.079866
|
0.075072
|
0.077885
|
0.075026
|
0.081826
|
0.075780
|
0.069017
|
0.068537
|
0.066147
|
0.055033
|
66
|
57
|
0.096656
|
0.078204
|
0.073298
|
0.075399
|
0.079482
|
0.082226
|
0.071928
|
0.068437
|
0.065599
|
0.062524
|
0.058884
|
67
|
58
|
0.095804
|
0.073421
|
0.069982
|
0.072067
|
0.083763
|
0.082068
|
0.067703
|
0.066781
|
0.063122
|
0.058698
|
0.062342
|
68
|
59
|
0.093509
|
0.068118
|
0.067241
|
0.068046
|
0.084218
|
0.079799
|
0.063335
|
0.064588
|
0.060739
|
0.055098
|
0.065093
|
69
|
|
|
|
|
|
|
|
|
|
|
|
|
|
60
|
0.089805
|
0.063518
|
0.066461
|
0.064342
|
0.081768
|
0.073737
|
0.058867
|
0.061245
|
0.057822
|
0.056326
|
0.067155
|
70
|
61
|
0.104964
|
0.062520
|
0.066200
|
0.062518
|
0.075597
|
0.065210
|
0.055004
|
0.057530
|
0.059659
|
0.062082
|
0.071765
|
71
|
62
|
0.110186
|
0.068013
|
0.066576
|
0.061814
|
0.067271
|
0.056756
|
0.056501
|
0.057736
|
0.064411
|
0.067667
|
0.077636
|
72
|
63
|
0.132043
|
0.080614
|
0.068587
|
0.061663
|
0.062279
|
0.060154
|
0.063760
|
0.069208
|
0.069545
|
0.072625
|
0.080153
|
73
|
64
|
0.156291
|
0.088404
|
0.071025
|
0.065189
|
0.064846
|
0.068735
|
0.073385
|
0.072524
|
0.072859
|
0.084538
|
0.085617
|
74
|
Notes:
1. Select age denotes age last birthday at entitlement to disability benefits. Duration measured in years since selection. Attained age calculated as sum of select age and duration. Results do not include auxiliary beneficiaries payable under the DI program.
2. The value q[x]+t at duration t represents the probability of deathin a multiple-decrement environmentduring the (t+1) year of entitlement for those originally entitled to disability benefits at select age [x] who have attained age [x]+t.
3. Select-and-ultimate table is read across the row for 0-10 years since selection, and down the last (ultimate) column for 10 or more years since selection.
4. Results have been graduated using the Whittaker-Henderson Type B two-dimensional graduation method.
Table 2A.Male HIV Disabled Beneficiaries
Survival Table
(1997-2001 Social Security DI and SSI disability experience)
Select age
|
Duration of disability
|
Attained age
|
0
|
1
|
2
|
3
|
4
|
5
|
6
|
7
|
8
|
9
|
10 or more
|
18
|
100,000
|
92,758
|
87,010
|
82,743
|
79,070
|
75,938
|
71,188
|
67,589
|
63,709
|
60,726
|
58,315
|
28
|
19
|
102,206
|
95,272
|
88,732
|
83,399
|
79,123
|
75,295
|
70,410
|
66,571
|
62,806
|
59,659
|
57,331
|
29
|
|
|
|
|
|
|
|
|
|
|
|
|
|
20
|
103,400
|
96,683
|
89,577
|
83,195
|
78,256
|
73,932
|
69,065
|
65,147
|
61,489
|
58,261
|
56,013
|
30
|
21
|
104,099
|
97,172
|
89,515
|
82,188
|
76,652
|
71,990
|
67,387
|
63,511
|
59,944
|
56,700
|
54,422
|
31
|
22
|
104,559
|
96,997
|
88,601
|
80,695
|
74,757
|
69,872
|
65,447
|
61,770
|
58,286
|
54,961
|
52,608
|
32
|
23
|
103,533
|
95,208
|
86,464
|
78,418
|
72,303
|
67,380
|
63,291
|
59,991
|
56,498
|
53,029
|
50,586
|
33
|
24
|
100,702
|
91,802
|
83,382
|
75,535
|
69,522
|
64,548
|
60,750
|
57,807
|
54,303
|
50,864
|
48,386
|
34
|
|
|
|
|
|
|
|
|
|
|
|
|
|
25
|
96,241
|
87,091
|
79,412
|
72,132
|
66,500
|
61,724
|
58,009
|
55,239
|
51,910
|
48,747
|
46,201
|
35
|
26
|
90,935
|
81,986
|
75,047
|
68,472
|
63,182
|
58,865
|
55,307
|
52,442
|
49,352
|
46,577
|
44,037
|
36
|
27
|
85,925
|
77,412
|
70,899
|
64,785
|
59,742
|
55,833
|
52,502
|
49,520
|
46,716
|
44,221
|
41,794
|
37
|
28
|
81,316
|
73,460
|
67,445
|
61,667
|
56,947
|
53,101
|
49,837
|
46,908
|
44,287
|
41,957
|
39,595
|
38
|
29
|
75,974
|
68,717
|
63,169
|
57,964
|
53,706
|
50,176
|
47,171
|
44,345
|
41,914
|
39,743
|
37,439
|
39
|
|
|
|
|
|
|
|
|
|
|
|
|
|
30
|
71,589
|
64,568
|
59,273
|
54,475
|
50,611
|
47,251
|
44,409
|
41,821
|
39,605
|
37,603
|
35,426
|
40
|
31
|
67,575
|
60,470
|
55,582
|
51,143
|
47,706
|
44,514
|
41,827
|
39,522
|
37,444
|
35,490
|
33,491
|
41
|
32
|
63,767
|
56,958
|
52,317
|
48,193
|
44,786
|
41,805
|
39,359
|
37,149
|
35,222
|
33,298
|
31,496
|
42
|
33
|
60,435
|
54,232
|
49,846
|
45,973
|
42,673
|
39,825
|
37,389
|
35,090
|
33,252
|
31,210
|
29,577
|
43
|
34
|
57,537
|
51,752
|
47,570
|
43,782
|
40,722
|
37,963
|
35,432
|
33,245
|
31,429
|
29,435
|
27,788
|
44
|
|
|
|
|
|
|
|
|
|
|
|
|
|
35
|
54,756
|
49,310
|
45,382
|
41,796
|
38,747
|
35,944
|
33,432
|
31,488
|
29,664
|
27,802
|
26,071
|
45
|
36
|
51,696
|
46,444
|
42,789
|
39,503
|
36,623
|
34,025
|
31,625
|
29,680
|
27,844
|
26,188
|
24,379
|
46
|
37
|
48,826
|
43,708
|
40,246
|
37,132
|
34,500
|
31,981
|
29,853
|
27,967
|
26,197
|
24,584
|
22,738
|
47
|
38
|
46,330
|
41,275
|
37,816
|
34,765
|
32,260
|
29,983
|
28,101
|
26,230
|
24,515
|
22,915
|
21,189
|
48
|
39
|
43,923
|
38,957
|
35,668
|
32,774
|
30,420
|
28,267
|
26,379
|
24,537
|
22,884
|
21,305
|
19,731
|
49
|
|
|
|
|
|
|
|
|
|
|
|
|
|
40
|
41,512
|
36,586
|
33,505
|
30,722
|
28,484
|
26,400
|
24,550
|
22,829
|
21,268
|
19,769
|
18,360
|
50
|
41
|
38,872
|
34,281
|
31,463
|
28,914
|
26,742
|
24,787
|
22,948
|
21,344
|
19,868
|
18,420
|
17,090
|
51
|
42
|
36,447
|
32,288
|
29,668
|
27,344
|
25,299
|
23,391
|
21,561
|
20,059
|
18,635
|
17,180
|
15,878
|
52
|
43
|
34,533
|
30,579
|
27,991
|
25,770
|
23,736
|
21,891
|
20,208
|
18,723
|
17,354
|
15,979
|
14,704
|
53
|
44
|
32,583
|
28,811
|
26,326
|
24,279
|
22,290
|
20,493
|
18,926
|
17,504
|
16,187
|
14,897
|
13,649
|
54
|
|
|
|
|
|
|
|
|
|
|
|
|
|
45
|
30,777
|
27,117
|
24,706
|
22,797
|
20,936
|
19,172
|
17,715
|
16,390
|
15,129
|
13,926
|
12,717
|
55
|
46
|
28,947
|
25,372
|
23,023
|
21,226
|
19,535
|
17,953
|
16,622
|
15,367
|
14,158
|
13,031
|
11,903
|
56
|
47
|
27,014
|
23,497
|
21,266
|
19,593
|
18,060
|
16,690
|
15,498
|
14,345
|
13,236
|
12,183
|
11,175
|
57
|
48
|
25,051
|
21,700
|
19,680
|
18,143
|
16,745
|
15,517
|
14,422
|
13,390
|
12,366
|
11,398
|
10,487
|
58
|
49
|
23,170
|
20,059
|
18,219
|
16,820
|
15,600
|
14,459
|
13,471
|
12,525
|
11,579
|
10,667
|
9,799
|
59
|
|
|
|
|
|
|
|
|
|
|
|
|
|
50
|
22,007
|
19,055
|
17,336
|
15,924
|
14,759
|
13,639
|
12,705
|
11,757
|
10,841
|
9,974
|
9,112
|
60
|
51
|
21,356
|
18,444
|
16,750
|
15,299
|
14,089
|
12,956
|
12,005
|
11,026
|
10,139
|
9,298
|
8,447
|
61
|
52
|
20,325
|
17,652
|
16,015
|
14,555
|
13,373
|
12,272
|
11,271
|
10,283
|
9,420
|
8,622
|
7,815
|
62
|
53
|
19,274
|
16,807
|
15,301
|
13,868
|
12,703
|
11,624
|
10,569
|
9,580
|
8,740
|
7,985
|
7,225
|
63
|
54
|
17,934
|
15,720
|
14,354
|
13,021
|
11,927
|
10,891
|
9,811
|
8,873
|
8,060
|
7,359
|
6,657
|
64
|
|
|
|
|
|
|
|
|
|
|
|
|
|
55
|
16,514
|
14,533
|
13,296
|
12,098
|
11,078
|
10,093
|
9,045
|
8,154
|
7,380
|
6,743
|
6,113
|
65
|
56
|
15,080
|
13,301
|
12,165
|
11,060
|
10,145
|
9,256
|
8,266
|
7,445
|
6,739
|
6,152
|
5,600
|
66
|
57
|
13,776
|
12,139
|
11,091
|
10,038
|
9,223
|
8,406
|
7,528
|
6,788
|
6,152
|
5,608
|
5,119
|
67
|
58
|
12,552
|
11,035
|
10,061
|
9,065
|
8,361
|
7,618
|
6,860
|
6,184
|
5,618
|
5,118
|
4,681
|
68
|
59
|
11,545
|
10,090
|
9,159
|
8,220
|
7,566
|
6,899
|
6,257
|
5,631
|
5,130
|
4,678
|
4,287
|
69
|
|
|
|
|
|
|
|
|
|
|
|
|
|
60
|
10,858
|
9,393
|
8,452
|
7,552
|
6,883
|
6,275
|
5,711
|
5,125
|
4,681
|
4,281
|
3,929
|
70
|
61
|
10,392
|
8,830
|
7,860
|
6,995
|
6,283
|
5,709
|
5,191
|
4,656
|
4,261
|
3,911
|
3,594
|
71
|
62
|
9,974
|
8,321
|
7,303
|
6,451
|
5,720
|
5,151
|
4,670
|
4,195
|
3,848
|
3,551
|
3,270
|
72
|
63
|
9,489
|
7,776
|
6,716
|
5,885
|
5,162
|
4,603
|
4,157
|
3,748
|
3,444
|
3,196
|
2,949
|
73
|
64
|
8,931
|
7,187
|
6,087
|
5,303
|
4,603
|
4,064
|
3,652
|
3,308
|
3,049
|
2,846
|
2,632
|
74
|
Notes:
1. Select age denotes age last birthday at entitlement to disability benefits. Duration measured in years since selection. Attained age calculated as sum of select age and duration. Results do not include auxiliary beneficiaries payable under the DI program.
2. The value l[x] at duration 0 represents the assumed number of lives originally entitled to disability benefits at select age [x]; the value l[x]+t at duration
t > 0 represents the number of lives remaining from the original l[x] who have attained age [x]+t. Lives are decremented using probabilities from table 1A.
3. Select-and-ultimate table is read across the row for 0-10 years since selection, and down the last (ultimate) column for 10 or more years since selection.
Table 2B.Female HIV Disabled Beneficiaries
Survival Table
(1997-2001 Social Security DI and SSI disability experience)
Select age
|
Duration of disability
|
Attained age
|
0
|
1
|
2
|
3
|
4
|
5
|
6
|
7
|
8
|
9
|
10 or more
|
18
|
100,000
|
93,539
|
85,921
|
76,721
|
69,871
|
65,704
|
61,794
|
59,152
|
57,552
|
56,590
|
55,403
|
28
|
19
|
98,108
|
91,420
|
83,957
|
74,946
|
68,688
|
64,525
|
60,613
|
58,229
|
56,521
|
55,109
|
53,552
|
29
|
|
|
|
|
|
|
|
|
|
|
|
|
|
20
|
96,135
|
89,338
|
82,136
|
73,421
|
67,455
|
63,333
|
59,429
|
57,162
|
55,281
|
53,481
|
51,624
|
30
|
21
|
93,733
|
86,824
|
79,938
|
71,673
|
65,898
|
61,740
|
58,011
|
55,760
|
53,631
|
51,597
|
49,584
|
31
|
22
|
90,819
|
83,673
|
77,106
|
69,574
|
64,154
|
59,887
|
56,367
|
54,099
|
51,735
|
49,590
|
47,483
|
32
|
23
|
87,104
|
79,772
|
73,491
|
66,968
|
62,040
|
57,803
|
54,535
|
52,261
|
49,778
|
47,534
|
45,418
|
33
|
24
|
83,142
|
75,849
|
69,828
|
64,116
|
59,753
|
55,735
|
52,662
|
50,253
|
47,805
|
45,443
|
43,397
|
34
|
|
|
|
|
|
|
|
|
|
|
|
|
|
25
|
79,606
|
72,516
|
66,492
|
61,380
|
57,401
|
53,624
|
50,699
|
48,153
|
45,712
|
43,351
|
41,352
|
35
|
26
|
76,638
|
69,682
|
63,334
|
58,536
|
54,696
|
51,380
|
48,497
|
45,980
|
43,560
|
41,291
|
39,289
|
36
|
27
|
73,861
|
66,970
|
60,341
|
55,640
|
51,877
|
49,022
|
46,130
|
43,691
|
41,355
|
39,186
|
37,299
|
37
|
28
|
71,036
|
64,222
|
57,609
|
52,868
|
49,186
|
46,594
|
43,742
|
41,418
|
39,221
|
37,179
|
35,419
|
38
|
29
|
68,018
|
61,411
|
55,192
|
50,307
|
46,877
|
44,459
|
41,748
|
39,596
|
37,482
|
35,521
|
33,726
|
39
|
|
|
|
|
|
|
|
|
|
|
|
|
|
30
|
64,977
|
58,506
|
52,991
|
48,278
|
45,103
|
42,677
|
40,158
|
38,172
|
36,106
|
34,201
|
32,212
|
40
|
31
|
62,549
|
56,210
|
51,253
|
46,949
|
43,851
|
41,324
|
38,851
|
36,850
|
34,800
|
32,928
|
30,813
|
41
|
32
|
60,094
|
54,115
|
49,566
|
45,554
|
42,422
|
39,826
|
37,460
|
35,435
|
33,464
|
31,589
|
29,515
|
42
|
33
|
58,080
|
52,297
|
48,068
|
44,165
|
41,009
|
38,356
|
36,091
|
34,081
|
32,188
|
30,271
|
28,252
|
43
|
34
|
55,719
|
50,211
|
46,179
|
42,530
|
39,513
|
36,879
|
34,597
|
32,652
|
30,823
|
28,900
|
26,976
|
44
|
|
|
|
|
|
|
|
|
|
|
|
|
|
35
|
53,626
|
48,694
|
44,657
|
41,182
|
38,188
|
35,532
|
33,179
|
31,202
|
29,385
|
27,484
|
25,705
|
45
|
36
|
51,539
|
46,894
|
43,071
|
39,784
|
36,697
|
34,027
|
31,684
|
29,733
|
27,830
|
26,050
|
24,383
|
46
|
37
|
48,806
|
44,336
|
40,819
|
37,719
|
34,683
|
32,078
|
29,834
|
27,946
|
26,134
|
24,558
|
22,995
|
47
|
38
|
45,475
|
41,449
|
38,081
|
35,196
|
32,335
|
29,936
|
27,805
|
25,994
|
24,404
|
22,947
|
21,566
|
48
|
39
|
42,391
|
38,677
|
35,418
|
32,704
|
30,032
|
27,896
|
25,896
|
24,278
|
22,832
|
21,393
|
20,176
|
49
|
|
|
|
|
|
|
|
|
|
|
|
|
|
40
|
39,963
|
36,342
|
33,208
|
30,742
|
28,269
|
26,242
|
24,402
|
22,841
|
21,456
|
20,037
|
18,933
|
50
|
41
|
38,442
|
34,784
|
31,742
|
29,336
|
27,054
|
25,041
|
23,349
|
21,759
|
20,335
|
18,952
|
17,884
|
51
|
42
|
37,060
|
33,302
|
30,356
|
28,081
|
26,000
|
23,992
|
22,366
|
20,789
|
19,324
|
18,031
|
16,951
|
52
|
43
|
35,274
|
31,642
|
28,831
|
26,725
|
24,862
|
22,895
|
21,364
|
19,838
|
18,407
|
17,222
|
16,127
|
53
|
44
|
33,666
|
30,279
|
27,566
|
25,554
|
23,816
|
21,909
|
20,453
|
18,977
|
17,601
|
16,471
|
15,390
|
54
|
|
|
|
|
|
|
|
|
|
|
|
|
|
45
|
32,163
|
29,100
|
26,494
|
24,565
|
22,862
|
21,061
|
19,653
|
18,168
|
16,865
|
15,744
|
14,692
|
55
|
46
|
30,790
|
27,963
|
25,398
|
23,466
|
21,793
|
20,157
|
18,815
|
17,387
|
16,168
|
15,036
|
14,011
|
56
|
47
|
28,979
|
26,360
|
23,950
|
22,089
|
20,526
|
19,059
|
17,812
|
16,556
|
15,444
|
14,324
|
13,343
|
57
|
48
|
27,094
|
24,599
|
22,431
|
20,728
|
19,305
|
17,964
|
16,790
|
15,699
|
14,708
|
13,625
|
12,705
|
58
|
49
|
25,663
|
23,210
|
21,279
|
19,701
|
18,381
|
17,086
|
15,944
|
14,956
|
14,050
|
13,008
|
12,127
|
59
|
|
|
|
|
|
|
|
|
|
|
|
|
|
50
|
24,445
|
21,966
|
20,253
|
18,821
|
17,590
|
16,323
|
15,234
|
14,303
|
13,465
|
12,463
|
11,606
|
60
|
51
|
23,655
|
21,135
|
19,534
|
18,213
|
17,010
|
15,775
|
14,723
|
13,791
|
12,977
|
11,999
|
11,146
|
61
|
52
|
23,025
|
20,536
|
18,990
|
17,729
|
16,495
|
15,308
|
14,264
|
13,297
|
12,475
|
11,520
|
10,675
|
62
|
53
|
22,431
|
20,067
|
18,510
|
17,264
|
15,991
|
14,857
|
13,781
|
12,765
|
11,929
|
11,018
|
10,208
|
63
|
54
|
21,664
|
19,435
|
17,900
|
16,642
|
15,358
|
14,272
|
13,165
|
12,139
|
11,315
|
10,471
|
9,720
|
64
|
|
|
|
|
|
|
|
|
|
|
|
|
|
55
|
20,684
|
18,616
|
17,121
|
15,851
|
14,615
|
13,560
|
12,463
|
11,487
|
10,696
|
9,927
|
9,237
|
65
|
56
|
19,434
|
17,535
|
16,135
|
14,924
|
13,762
|
12,729
|
11,687
|
10,801
|
10,056
|
9,367
|
8,747
|
66
|
57
|
18,107
|
16,357
|
15,078
|
13,973
|
12,919
|
11,892
|
10,914
|
10,129
|
9,436
|
8,817
|
8,266
|
67
|
58
|
16,673
|
15,076
|
13,969
|
12,991
|
12,055
|
11,045
|
10,139
|
9,453
|
8,822
|
8,265
|
7,779
|
68
|
59
|
15,158
|
13,741
|
12,805
|
11,944
|
11,131
|
10,194
|
9,381
|
8,787
|
8,219
|
7,720
|
7,294
|
69
|
|
|
|
|
|
|
|
|
|
|
|
|
|
60
|
13,709
|
12,478
|
11,685
|
10,908
|
10,206
|
9,371
|
8,680
|
8,169
|
7,669
|
7,226
|
6,819
|
70
|
61
|
12,758
|
11,419
|
10,705
|
9,996
|
9,371
|
8,663
|
8,098
|
7,653
|
7,213
|
6,783
|
6,361
|
71
|
62
|
11,918
|
10,605
|
9,884
|
9,226
|
8,656
|
8,074
|
7,616
|
7,186
|
6,771
|
6,335
|
5,905
|
72
|
63
|
11,785
|
10,229
|
9,404
|
8,759
|
8,219
|
7,707
|
7,243
|
6,781
|
6,312
|
5,873
|
5,447
|
73
|
64
|
11,808
|
9,963
|
9,082
|
8,437
|
7,887
|
7,376
|
6,869
|
6,365
|
5,903
|
5,473
|
5,010
|
74
|
Notes:
1. Select age denotes age last birthday at entitlement to disability benefits. Duration measured in years since selection. Attained age calculated as sum of select age and duration. Results do not include auxiliary beneficiaries payable under the DI program.
2. The value l[x] at duration 0 represents the assumed number of lives originally entitled to disability benefits at select age [x]; the value l[x]+t at duration
t > 0 represents the number of lives remaining from the original l[x] who have attained age [x]+t. Lives are decremented using probabilities from table 1B.
3. Select-and-ultimate table is read across the row for 0-10 years since selection, and down the last (ultimate) column for 10 or more years since selection.
Table 3A.Male HIV Disabled Beneficiaries
Expected Future Lifetime
(1997-2001 Social Security DI and SSI disability experience)
Select age
|
Duration of disability
|
Attained age
|
0
|
1
|
2
|
3
|
4
|
5
|
6
|
7
|
8
|
9
|
10 or more
|
18
|
18.20
|
18.58
|
18.77
|
18.72
|
18.56
|
18.31
|
18.50
|
18.45
|
18.55
|
18.43
|
18.18
|
28
|
19
|
17.25
|
17.47
|
17.72
|
17.82
|
17.76
|
17.64
|
17.82
|
17.82
|
17.86
|
17.78
|
17.48
|
29
|
|
|
|
|
|
|
|
|
|
|
|
|
|
20
|
16.45
|
16.56
|
16.83
|
17.08
|
17.13
|
17.10
|
17.27
|
17.28
|
17.28
|
17.21
|
16.88
|
30
|
21
|
15.70
|
15.79
|
16.09
|
16.48
|
16.64
|
16.68
|
16.79
|
16.78
|
16.75
|
16.68
|
16.36
|
31
|
22
|
14.98
|
15.11
|
15.50
|
15.97
|
16.20
|
16.29
|
16.36
|
16.31
|
16.25
|
16.20
|
15.91
|
32
|
23
|
14.44
|
14.66
|
15.09
|
15.58
|
15.86
|
15.98
|
15.98
|
15.83
|
15.78
|
15.78
|
15.52
|
33
|
24
|
14.09
|
14.41
|
14.81
|
15.30
|
15.58
|
15.74
|
15.69
|
15.46
|
15.43
|
15.44
|
15.20
|
34
|
|
|
|
|
|
|
|
|
|
|
|
|
|
25
|
13.93
|
14.34
|
14.68
|
15.11
|
15.34
|
15.49
|
15.45
|
15.20
|
15.14
|
15.09
|
14.90
|
35
|
26
|
13.88
|
14.34
|
14.62
|
14.97
|
15.18
|
15.26
|
15.21
|
15.01
|
14.92
|
14.78
|
14.61
|
36
|
27
|
13.80
|
14.26
|
14.53
|
14.85
|
15.06
|
15.08
|
15.01
|
14.88
|
14.74
|
14.55
|
14.36
|
37
|
28
|
13.72
|
14.13
|
14.35
|
14.65
|
14.82
|
14.86
|
14.80
|
14.69
|
14.53
|
14.31
|
14.13
|
38
|
29
|
13.75
|
14.15
|
14.35
|
14.59
|
14.71
|
14.71
|
14.62
|
14.51
|
14.33
|
14.08
|
13.92
|
39
|
|
|
|
|
|
|
|
|
|
|
|
|
|
30
|
13.66
|
14.09
|
14.30
|
14.52
|
14.59
|
14.59
|
14.49
|
14.36
|
14.13
|
13.86
|
13.68
|
40
|
31
|
13.53
|
14.06
|
14.26
|
14.45
|
14.46
|
14.46
|
14.35
|
14.16
|
13.92
|
13.66
|
13.44
|
41
|
32
|
13.40
|
13.94
|
14.13
|
14.30
|
14.35
|
14.34
|
14.20
|
14.01
|
13.75
|
13.52
|
13.26
|
42
|
33
|
13.27
|
13.73
|
13.89
|
14.02
|
14.06
|
14.03
|
13.91
|
13.79
|
13.53
|
13.38
|
13.09
|
43
|
34
|
13.08
|
13.48
|
13.63
|
13.76
|
13.76
|
13.72
|
13.67
|
13.53
|
13.29
|
13.15
|
12.90
|
44
|
|
|
|
|
|
|
|
|
|
|
|
|
|
35
|
12.89
|
13.25
|
13.36
|
13.46
|
13.48
|
13.49
|
13.47
|
13.27
|
13.05
|
12.90
|
12.72
|
45
|
36
|
12.75
|
13.13
|
13.21
|
13.27
|
13.28
|
13.25
|
13.22
|
13.05
|
12.88
|
12.66
|
12.57
|
46
|
37
|
12.59
|
13.01
|
13.08
|
13.14
|
13.10
|
13.09
|
12.99
|
12.83
|
12.67
|
12.47
|
12.44
|
47
|
38
|
12.36
|
12.81
|
12.93
|
13.02
|
13.00
|
12.95
|
12.78
|
12.66
|
12.51
|
12.34
|
12.31
|
48
|
39
|
12.14
|
12.63
|
12.75
|
12.83
|
12.78
|
12.72
|
12.59
|
12.50
|
12.37
|
12.25
|
12.18
|
49
|
|
|
|
|
|
|
|
|
|
|
|
|
|
40
|
11.93
|
12.47
|
12.57
|
12.67
|
12.62
|
12.58
|
12.49
|
12.39
|
12.27
|
12.16
|
12.05
|
50
|
41
|
11.84
|
12.36
|
12.42
|
12.48
|
12.45
|
12.39
|
12.34
|
12.23
|
12.10
|
12.02
|
11.91
|
51
|
42
|
11.76
|
12.21
|
12.25
|
12.25
|
12.20
|
12.15
|
12.14
|
12.01
|
11.89
|
11.85
|
11.78
|
52
|
43
|
11.54
|
11.97
|
12.03
|
12.03
|
12.02
|
11.99
|
11.94
|
11.85
|
11.75
|
11.71
|
11.69
|
53
|
44
|
11.37
|
11.79
|
11.86
|
11.82
|
11.83
|
11.82
|
11.76
|
11.67
|
11.58
|
11.54
|
11.55
|
54
|
|
|
|
|
|
|
|
|
|
|
|
|
|
45
|
11.18
|
11.62
|
11.71
|
11.65
|
11.64
|
11.66
|
11.58
|
11.47
|
11.39
|
11.33
|
11.36
|
55
|
46
|
11.02
|
11.50
|
11.62
|
11.56
|
11.52
|
11.49
|
11.37
|
11.26
|
11.17
|
11.10
|
11.10
|
56
|
47
|
10.89
|
11.44
|
11.59
|
11.54
|
11.47
|
11.37
|
11.21
|
11.07
|
10.96
|
10.86
|
10.79
|
57
|
48
|
10.81
|
11.41
|
11.53
|
11.46
|
11.38
|
11.24
|
11.05
|
10.87
|
10.72
|
10.59
|
10.47
|
58
|
49
|
10.77
|
11.36
|
11.46
|
11.37
|
11.22
|
11.07
|
10.84
|
10.62
|
10.45
|
10.30
|
10.17
|
59
|
|
|
|
|
|
|
|
|
|
|
|
|
|
50
|
10.53
|
11.08
|
11.13
|
11.08
|
10.91
|
10.77
|
10.52
|
10.33
|
10.16
|
10.00
|
9.90
|
60
|
51
|
10.13
|
10.65
|
10.68
|
10.64
|
10.51
|
10.39
|
10.17
|
10.03
|
9.86
|
9.71
|
9.64
|
61
|
52
|
9.88
|
10.30
|
10.30
|
10.29
|
10.15
|
10.02
|
9.86
|
9.76
|
9.61
|
9.45
|
9.38
|
62
|
53
|
9.66
|
10.00
|
9.94
|
9.92
|
9.78
|
9.64
|
9.55
|
9.49
|
9.35
|
9.19
|
9.10
|
63
|
54
|
9.54
|
9.82
|
9.70
|
9.64
|
9.48
|
9.34
|
9.31
|
9.24
|
9.12
|
8.94
|
8.83
|
64
|
|
|
|
|
|
|
|
|
|
|
|
|
|
55
|
9.46
|
9.68
|
9.53
|
9.43
|
9.25
|
9.10
|
9.10
|
9.04
|
8.93
|
8.73
|
8.58
|
65
|
56
|
9.38
|
9.57
|
9.41
|
9.30
|
9.10
|
8.92
|
8.93
|
8.86
|
8.74
|
8.53
|
8.32
|
66
|
57
|
9.26
|
9.45
|
9.29
|
9.21
|
8.98
|
8.81
|
8.78
|
8.68
|
8.53
|
8.31
|
8.05
|
67
|
58
|
9.15
|
9.34
|
9.19
|
9.15
|
8.88
|
8.70
|
8.60
|
8.49
|
8.29
|
8.05
|
7.76
|
68
|
59
|
8.95
|
9.17
|
9.05
|
9.03
|
8.77
|
8.57
|
8.40
|
8.27
|
8.03
|
7.76
|
7.42
|
69
|
|
|
|
|
|
|
|
|
|
|
|
|
|
60
|
8.61
|
8.87
|
8.80
|
8.79
|
8.60
|
8.39
|
8.16
|
8.04
|
7.76
|
7.43
|
7.06
|
70
|
61
|
8.15
|
8.50
|
8.48
|
8.47
|
8.38
|
8.17
|
7.93
|
7.79
|
7.46
|
7.09
|
6.67
|
71
|
62
|
7.66
|
8.08
|
8.13
|
8.14
|
8.12
|
7.96
|
7.73
|
7.55
|
7.18
|
6.74
|
6.28
|
72
|
63
|
7.20
|
7.68
|
7.81
|
7.84
|
7.87
|
7.76
|
7.54
|
7.31
|
6.91
|
6.41
|
5.91
|
73
|
64
|
6.77
|
7.30
|
7.53
|
7.56
|
7.64
|
7.59
|
7.39
|
7.10
|
6.66
|
6.10
|
5.56
|
74
|
Notes:
1. Select age denotes age last birthday at entitlement to disability benefits. Duration measured in years since selection. Attained age calculated as sum of select age and duration. Results do not include auxiliary beneficiaries payable under the DI program.
2. The value e[x]+t at duration t represents the average number of years of life remaining for those originally entitled to disability benefits at select age [x] who have attained age [x]+t. Values are based on survivorship experience from table 2A.
3. Select-and-ultimate table is read across the row for 0-10 years since selection, and down the last (ultimate) column for 10 or more years since selection.
Table 3B.Female HIV Disabled Beneficiaries
Expected Future Lifetime
(1997-2001 Social Security DI and SSI disability experience)
Select age
|
Duration of disability
|
Attained age
|
0
|
1
|
2
|
3
|
4
|
5
|
6
|
7
|
8
|
9
|
10 or more
|
18
|
17.82
|
18.02
|
18.57
|
19.74
|
20.62
|
20.90
|
21.19
|
21.12
|
20.69
|
20.03
|
19.45
|
28
|
19
|
17.46
|
17.70
|
18.23
|
19.36
|
20.08
|
20.34
|
20.62
|
20.45
|
20.05
|
19.55
|
19.11
|
29
|
|
|
|
|
|
|
|
|
|
|
|
|
|
20
|
17.12
|
17.38
|
17.86
|
18.92
|
19.55
|
19.79
|
20.06
|
19.83
|
19.49
|
19.13
|
18.80
|
30
|
21
|
16.82
|
17.12
|
17.55
|
18.52
|
19.10
|
19.35
|
19.56
|
19.33
|
19.08
|
18.81
|
18.55
|
31
|
22
|
16.59
|
16.96
|
17.37
|
18.19
|
18.69
|
18.98
|
19.14
|
18.92
|
18.76
|
18.55
|
18.35
|
32
|
23
|
16.48
|
16.95
|
17.35
|
17.99
|
18.38
|
18.70
|
18.79
|
18.58
|
18.48
|
18.33
|
18.16
|
33
|
24
|
16.42
|
16.95
|
17.37
|
17.87
|
18.14
|
18.41
|
18.46
|
18.32
|
18.23
|
18.15
|
17.99
|
34
|
|
|
|
|
|
|
|
|
|
|
|
|
|
25
|
16.30
|
16.85
|
17.33
|
17.73
|
17.93
|
18.16
|
18.17
|
18.11
|
18.05
|
18.00
|
17.85
|
35
|
26
|
16.09
|
16.64
|
17.26
|
17.63
|
17.84
|
17.95
|
17.99
|
17.95
|
17.92
|
17.88
|
17.76
|
36
|
27
|
15.83
|
16.41
|
17.16
|
17.56
|
17.80
|
17.81
|
17.89
|
17.87
|
17.85
|
17.81
|
17.68
|
37
|
28
|
15.60
|
16.21
|
17.01
|
17.49
|
17.76
|
17.72
|
17.85
|
17.82
|
17.79
|
17.74
|
17.59
|
38
|
29
|
15.47
|
16.08
|
16.83
|
17.42
|
17.66
|
17.59
|
17.70
|
17.64
|
17.60
|
17.55
|
17.45
|
39
|
|
|
|
|
|
|
|
|
|
|
|
|
|
30
|
15.40
|
16.04
|
16.66
|
17.24
|
17.42
|
17.38
|
17.44
|
17.32
|
17.28
|
17.22
|
17.25
|
40
|
31
|
15.25
|
15.91
|
16.40
|
16.86
|
17.02
|
17.03
|
17.08
|
16.98
|
16.95
|
16.89
|
17.01
|
41
|
32
|
15.11
|
15.73
|
16.13
|
16.50
|
16.68
|
16.74
|
16.76
|
16.69
|
16.65
|
16.60
|
16.74
|
42
|
33
|
14.89
|
15.48
|
15.80
|
16.15
|
16.36
|
16.45
|
16.45
|
16.39
|
16.33
|
16.33
|
16.46
|
43
|
34
|
14.74
|
15.30
|
15.59
|
15.88
|
16.06
|
16.17
|
16.20
|
16.14
|
16.07
|
16.10
|
16.22
|
44
|
|
|
|
|
|
|
|
|
|
|
|
|
|
35
|
14.55
|
14.97
|
15.28
|
15.53
|
15.71
|
15.84
|
15.93
|
15.91
|
15.86
|
15.93
|
15.99
|
45
|
36
|
14.35
|
14.73
|
14.99
|
15.19
|
15.42
|
15.59
|
15.71
|
15.71
|
15.75
|
15.79
|
15.83
|
46
|
37
|
14.27
|
14.66
|
14.88
|
15.06
|
15.33
|
15.54
|
15.67
|
15.69
|
15.75
|
15.73
|
15.76
|
47
|
38
|
14.33
|
14.68
|
14.93
|
15.11
|
15.41
|
15.60
|
15.76
|
15.82
|
15.82
|
15.79
|
15.77
|
48
|
39
|
14.38
|
14.71
|
15.02
|
15.23
|
15.54
|
15.69
|
15.86
|
15.89
|
15.86
|
15.89
|
15.82
|
49
|
|
|
|
|
|
|
|
|
|
|
|
|
|
40
|
14.33
|
14.71
|
15.05
|
15.22
|
15.50
|
15.66
|
15.81
|
15.85
|
15.84
|
15.93
|
15.83
|
50
|
41
|
14.09
|
14.52
|
14.87
|
15.05
|
15.27
|
15.46
|
15.54
|
15.64
|
15.70
|
15.81
|
15.73
|
51
|
42
|
13.85
|
14.35
|
14.70
|
14.85
|
14.99
|
15.21
|
15.28
|
15.40
|
15.53
|
15.60
|
15.57
|
52
|
43
|
13.74
|
14.26
|
14.61
|
14.72
|
14.78
|
15.01
|
15.05
|
15.17
|
15.31
|
15.33
|
15.34
|
53
|
44
|
13.63
|
14.09
|
14.43
|
14.53
|
14.55
|
14.78
|
14.79
|
14.90
|
15.03
|
15.03
|
15.05
|
54
|
|
|
|
|
|
|
|
|
|
|
|
|
|
45
|
13.51
|
13.88
|
14.19
|
14.27
|
14.29
|
14.47
|
14.48
|
14.62
|
14.71
|
14.72
|
14.74
|
55
|
46
|
13.34
|
13.64
|
13.97
|
14.07
|
14.12
|
14.22
|
14.20
|
14.33
|
14.37
|
14.41
|
14.43
|
56
|
47
|
13.31
|
13.59
|
13.90
|
14.03
|
14.06
|
14.11
|
14.06
|
14.09
|
14.06
|
14.13
|
14.13
|
57
|
48
|
13.33
|
13.63
|
13.90
|
14.00
|
14.00
|
14.01
|
13.95
|
13.89
|
13.79
|
13.85
|
13.81
|
58
|
49
|
13.23
|
13.58
|
13.76
|
13.83
|
13.78
|
13.79
|
13.74
|
13.62
|
13.46
|
13.50
|
13.45
|
59
|
|
|
|
|
|
|
|
|
|
|
|
|
|
50
|
13.08
|
13.49
|
13.59
|
13.59
|
13.51
|
13.52
|
13.45
|
13.29
|
13.09
|
13.10
|
13.03
|
60
|
51
|
12.78
|
13.25
|
13.29
|
13.22
|
13.12
|
13.11
|
13.01
|
12.85
|
12.63
|
12.62
|
12.54
|
61
|
52
|
12.44
|
12.88
|
12.89
|
12.77
|
12.69
|
12.64
|
12.53
|
12.40
|
12.18
|
12.15
|
12.08
|
62
|
53
|
12.08
|
12.44
|
12.45
|
12.31
|
12.25
|
12.15
|
12.06
|
11.98
|
11.78
|
11.72
|
11.61
|
63
|
54
|
11.77
|
12.06
|
12.05
|
11.92
|
11.88
|
11.74
|
11.69
|
11.63
|
11.44
|
11.33
|
11.16
|
64
|
|
|
|
|
|
|
|
|
|
|
|
|
|
55
|
11.52
|
11.75
|
11.73
|
11.63
|
11.57
|
11.43
|
11.39
|
11.32
|
11.12
|
10.94
|
10.72
|
65
|
56
|
11.38
|
11.56
|
11.52
|
11.41
|
11.33
|
11.21
|
11.16
|
11.04
|
10.82
|
10.58
|
10.29
|
66
|
57
|
11.28
|
11.43
|
11.36
|
11.22
|
11.09
|
11.01
|
10.95
|
10.76
|
10.51
|
10.21
|
9.86
|
67
|
58
|
11.25
|
11.39
|
11.25
|
11.06
|
10.88
|
10.83
|
10.75
|
10.49
|
10.21
|
9.86
|
9.45
|
68
|
59
|
11.29
|
11.40
|
11.20
|
10.97
|
10.73
|
10.67
|
10.56
|
10.24
|
9.91
|
9.52
|
9.04
|
69
|
|
|
|
|
|
|
|
|
|
|
|
|
|
60
|
11.35
|
11.42
|
11.16
|
10.92
|
10.63
|
10.54
|
10.34
|
9.95
|
9.57
|
9.12
|
8.64
|
70
|
61
|
11.11
|
11.36
|
11.08
|
10.83
|
10.52
|
10.34
|
10.03
|
9.58
|
9.13
|
8.68
|
8.22
|
71
|
62
|
10.86
|
11.14
|
10.92
|
10.66
|
10.33
|
10.04
|
9.62
|
9.16
|
8.69
|
8.26
|
7.82
|
72
|
63
|
10.15
|
10.62
|
10.51
|
10.25
|
9.89
|
9.51
|
9.09
|
8.67
|
8.28
|
7.86
|
7.44
|
73
|
64
|
9.40
|
10.05
|
9.98
|
9.70
|
9.35
|
8.96
|
8.58
|
8.22
|
7.83
|
7.40
|
7.04
|
74
|
Notes:
1. Select age denotes age last birthday at entitlement to disability benefits. Duration measured in years since selection. Attained age calculated as sum of select age and duration. Results do not include auxiliary beneficiaries payable under the DI program.
2. The value e[x]+t at duration t represents the average number of years of life remaining for those originally entitled to disability benefits at select age [x] who have attained age [x]+t. Values are based on survivorship experience from table 2B.
3. Select-and-ultimate table is read across the row for 0-10 years since selection, and down the last (ultimate) column for 10 or more years since selection.
Table 4.HIV Disabled Beneficiaries
Aggregate Probability of Death and Expected Future Lifetime,
by Select Age
(1997-2001 Social Security DI and SSI disability experience)
Select Age
|
Male
|
Female
|
Probability of death
|
Future lifetime
|
Probability of death
|
Future lifetime
|
18
|
0.048213
|
17.12
|
0.055448
|
19.37
|
19
|
0.053457
|
16.61
|
0.057076
|
19.00
|
|
|
|
|
|
20
|
0.056447
|
16.24
|
0.059288
|
18.66
|
21
|
0.060002
|
15.96
|
0.062546
|
18.25
|
22
|
0.062310
|
15.62
|
0.064290
|
18.03
|
23
|
0.066437
|
15.27
|
0.063651
|
17.86
|
24
|
0.068602
|
15.03
|
0.063608
|
17.74
|
|
|
|
|
|
25
|
0.068671
|
14.86
|
0.064028
|
17.56
|
26
|
0.068678
|
14.71
|
0.064905
|
17.43
|
27
|
0.069004
|
14.60
|
0.066358
|
17.31
|
28
|
0.069585
|
14.44
|
0.068699
|
17.18
|
29
|
0.068864
|
14.36
|
0.067714
|
17.09
|
|
|
|
|
|
30
|
0.068898
|
14.25
|
0.068263
|
16.86
|
31
|
0.069573
|
14.14
|
0.069162
|
16.56
|
32
|
0.070649
|
14.00
|
0.069513
|
16.27
|
33
|
0.071699
|
13.76
|
0.070385
|
15.99
|
34
|
0.073041
|
13.51
|
0.071809
|
15.72
|
|
|
|
|
|
35
|
0.074187
|
13.26
|
0.072620
|
15.44
|
36
|
0.074849
|
13.08
|
0.074137
|
15.18
|
37
|
0.075537
|
12.93
|
0.074859
|
15.11
|
38
|
0.077468
|
12.77
|
0.074888
|
15.15
|
39
|
0.079462
|
12.58
|
0.075147
|
15.20
|
|
|
|
|
|
40
|
0.081264
|
12.42
|
0.075497
|
15.18
|
41
|
0.081757
|
12.27
|
0.077117
|
14.96
|
42
|
0.082009
|
12.09
|
0.079028
|
14.72
|
43
|
0.084189
|
11.89
|
0.078911
|
14.56
|
44
|
0.085845
|
11.71
|
0.079275
|
14.33
|
|
|
|
|
|
45
|
0.086970
|
11.53
|
0.078163
|
14.09
|
46
|
0.088387
|
11.38
|
0.079196
|
13.86
|
47
|
0.088709
|
11.29
|
0.077546
|
13.78
|
48
|
0.088403
|
11.19
|
0.076457
|
13.71
|
49
|
0.087850
|
11.06
|
0.076051
|
13.52
|
|
|
|
|
|
50
|
0.089456
|
10.78
|
0.075020
|
13.34
|
51
|
0.093348
|
10.39
|
0.075239
|
12.93
|
52
|
0.094668
|
10.06
|
0.077450
|
12.54
|
53
|
0.096841
|
9.74
|
0.077892
|
12.10
|
54
|
0.096438
|
9.53
|
0.079865
|
11.77
|
|
|
|
|
|
55
|
0.095830
|
9.33
|
0.080235
|
11.46
|
56
|
0.095485
|
9.21
|
0.078557
|
11.08
|
57
|
0.097109
|
9.07
|
0.078631
|
10.91
|
58
|
0.096584
|
8.96
|
0.076039
|
10.57
|
59
|
0.098881
|
8.76
|
0.074986
|
10.71
|
|
|
|
|
|
60
|
0.103327
|
8.54
|
0.072366
|
10.55
|
61
|
0.110067
|
8.16
|
0.072077
|
10.27
|
62
|
0.120178
|
7.82
|
0.072019
|
10.08
|
63
|
0.131716
|
7.43
|
0.079247
|
9.51
|
64
|
0.136950
|
7.22
|
0.104357
|
9.01
|
Notes:
1. Select age denotes age last birthday at entitlement to disability benefits.
2. Probability of death at select age [x] represents the average probability of dying within one year for those originally entitled to disability benefits at that particular age. Values are exposure-weighted averages of the graduated and blended probabilities of death across all durations from tables 1A and 1B.
3. Future lifetime at select age [x] represents the aggregate life expectancy in years for those originally entitled to disability benefits at that particular age. Values are exposure-weighted averages of expected future lifetime across all durations from tables 3A and 3B.
Table 5.HIV Disabled Beneficiaries
Aggregate Probability of Death and Expected Future Lifetime,
by Attained Age
(1997-2001 Social Security DI and SSI disability experience)
Attained Age
|
Male
|
Female
|
Probability of death
|
Future lifetime
|
Probability of death
|
Future lifetime
|
18
|
0.072424
|
18.20
|
0.064609
|
17.82
|
19
|
0.065225
|
17.84
|
0.073461
|
17.68
|
|
|
|
|
|
20
|
0.062027
|
17.29
|
0.083118
|
17.66
|
21
|
0.064024
|
16.75
|
0.084933
|
17.71
|
22
|
0.067217
|
16.33
|
0.082379
|
17.74
|
23
|
0.075035
|
15.86
|
0.081905
|
17.75
|
24
|
0.080115
|
15.46
|
0.079503
|
17.80
|
|
|
|
|
|
25
|
0.082972
|
15.28
|
0.076135
|
17.80
|
26
|
0.083132
|
15.13
|
0.073728
|
17.72
|
27
|
0.081708
|
15.02
|
0.073386
|
17.55
|
28
|
0.079202
|
14.92
|
0.073907
|
17.38
|
29
|
0.077348
|
14.81
|
0.074084
|
17.27
|
|
|
|
|
|
30
|
0.076674
|
14.69
|
0.074314
|
17.15
|
31
|
0.076677
|
14.57
|
0.074278
|
17.03
|
32
|
0.075851
|
14.47
|
0.072680
|
16.93
|
33
|
0.074393
|
14.37
|
0.070594
|
16.81
|
34
|
0.072669
|
14.23
|
0.070003
|
16.62
|
|
|
|
|
|
35
|
0.072307
|
14.07
|
0.068819
|
16.42
|
36
|
0.072383
|
13.89
|
0.068934
|
16.20
|
37
|
0.071316
|
13.71
|
0.069013
|
15.97
|
38
|
0.072337
|
13.50
|
0.068528
|
15.79
|
39
|
0.074946
|
13.29
|
0.069863
|
15.61
|
|
|
|
|
|
40
|
0.075837
|
13.10
|
0.071790
|
15.48
|
41
|
0.076130
|
12.94
|
0.073437
|
15.37
|
42
|
0.075154
|
12.79
|
0.074297
|
15.28
|
43
|
0.075049
|
12.61
|
0.074795
|
15.22
|
44
|
0.076570
|
12.42
|
0.074560
|
15.13
|
|
|
|
|
|
45
|
0.078055
|
12.24
|
0.072875
|
15.05
|
46
|
0.080618
|
12.06
|
0.072180
|
14.93
|
47
|
0.082665
|
11.92
|
0.073006
|
14.79
|
48
|
0.083607
|
11.79
|
0.074307
|
14.68
|
49
|
0.084261
|
11.67
|
0.074913
|
14.55
|
|
|
|
|
|
50
|
0.084513
|
11.54
|
0.074023
|
14.42
|
51
|
0.083733
|
11.37
|
0.073002
|
14.26
|
52
|
0.083281
|
11.18
|
0.071623
|
14.05
|
53
|
0.083813
|
10.93
|
0.069624
|
13.83
|
54
|
0.084122
|
10.66
|
0.070105
|
13.49
|
|
|
|
|
|
55
|
0.084070
|
10.40
|
0.069954
|
13.16
|
56
|
0.084093
|
10.15
|
0.069923
|
12.86
|
57
|
0.085751
|
9.90
|
0.070304
|
12.56
|
58
|
0.088392
|
9.66
|
0.070815
|
12.26
|
59
|
0.091486
|
9.45
|
0.071038
|
12.00
|
|
|
|
|
|
60
|
0.095506
|
9.23
|
0.069360
|
11.80
|
61
|
0.098184
|
9.03
|
0.069570
|
11.56
|
62
|
0.100652
|
8.82
|
0.069780
|
11.31
|
63
|
0.102997
|
8.60
|
0.070852
|
11.06
|
64
|
0.102286
|
8.44
|
0.069905
|
10.81
|
|
|
|
|
|
65
|
0.098855
|
8.31
|
0.065096
|
10.57
|
66
|
0.097156
|
8.15
|
0.061199
|
10.27
|
67
|
0.095087
|
7.97
|
0.059035
|
9.91
|
68
|
0.090852
|
7.75
|
0.060025
|
9.50
|
69
|
0.086811
|
7.48
|
0.062709
|
9.08
|
|
|
|
|
|
70
|
0.083694
|
7.14
|
0.066641
|
8.65
|
71
|
0.085045
|
6.75
|
0.071091
|
8.23
|
72
|
0.093143
|
6.32
|
0.077004
|
7.83
|
73
|
0.105225
|
5.92
|
0.080230
|
7.44
|
74
|
0.117143
|
5.56
|
0.085617
|
7.04
|
Notes:
1. Attained age calculated as sum of select age and duration.
2. Probability of death at attained age x represents the average probability of dying within one year for those originally entitled to disability benefits who have attained that particular age. Values are exposure-weighted averages of the graduated and blended probabilities of death across all durations from tables 1A and 1B.
3. Future lifetime at attained age x represents the aggregate life expectancy in years for those originally entitled to disability benefits who have attained that particular age. Values are exposure-weighted averages of expected future lifetime across all durations from tables 3A and 3B.
Table 6.HIV Disabled Beneficiaries
Aggregate Probability of Death and Expected Future Lifetime,
by Duration
(1997-2001 Social Security DI and SSI disability experience)
Duration
|
Male
|
Female
|
Probability of death
|
Future lifetime
|
Probability of death
|
Future lifetime
|
0
|
0.112445
|
12.04
|
0.094868
|
14.38
|
1
|
0.084512
|
12.60
|
0.085712
|
14.91
|
2
|
0.081327
|
12.81
|
0.078481
|
15.34
|
3
|
0.074517
|
13.00
|
0.072532
|
15.71
|
4
|
0.072186
|
13.11
|
0.067305
|
16.02
|
|
|
|
|
|
5
|
0.068041
|
13.19
|
0.063969
|
16.25
|
6
|
0.064653
|
13.21
|
0.057920
|
16.40
|
7
|
0.062874
|
13.18
|
0.057519
|
16.42
|
8
|
0.063826
|
13.10
|
0.058041
|
16.40
|
9
|
0.064739
|
13.02
|
0.057854
|
16.35
|
|
|
|
|
|
10
|
0.060845
|
12.97
|
0.049217
|
16.25
|
11
|
0.061610
|
12.84
|
0.049763
|
15.94
|
12
|
0.062328
|
12.72
|
0.050449
|
15.60
|
13
|
0.063071
|
12.58
|
0.051117
|
15.27
|
14
|
0.063998
|
12.43
|
0.051803
|
15.05
|
|
|
|
|
|
15
|
0.064381
|
12.39
|
0.052070
|
14.87
|
16
|
0.065032
|
12.29
|
0.052459
|
14.89
|
17
|
0.065496
|
12.24
|
0.053277
|
14.83
|
|
0.065447
|
12.28
|
0.053006
|
14.99
|
19
|
0.065376
|
12.32
|
0.052955
|
15.09
|
|
|
|
|
|
20
|
0.065435
|
12.30
|
0.052193
|
15.14
|
21
|
0.065964
|
12.20
|
0.051484
|
15.14
|
22
|
0.066981
|
12.14
|
0.052420
|
15.00
|
23
|
0.069219
|
11.97
|
0.053779
|
15.10
|
24
|
0.069744
|
11.83
|
0.054038
|
14.90
|
|
|
|
|
|
25
|
0.071001
|
11.63
|
0.054178
|
14.84
|
26
|
0.072043
|
11.43
|
0.054665
|
14.65
|
27
|
0.073566
|
11.21
|
0.055154
|
14.52
|
28
|
0.074011
|
10.80
|
0.049796
|
13.67
|
29
|
0.076903
|
10.63
|
0.047408
|
13.78
|
|
|
|
|
|
30
|
0.078583
|
10.76
|
0.048019
|
12.55
|
31
|
0.083898
|
10.42
|
0.052971
|
11.82
|
32
|
0.080229
|
9.89
|
0.057703
|
10.08
|
33
|
0.076840
|
9.38
|
0.055033
|
10.29
|
34
|
0.078741
|
9.11
|
0.058884
|
9.86
|
|
|
|
|
|
35
|
0.079633
|
8.89
|
0.062342
|
9.45
|
36
|
0.082223
|
8.71
|
0.065093
|
9.04
|
Notes:
1. Duration measured in years since selection.
2. Probability of death at duration t represents the average probability of dying during the (t+1) year of entitlement to disability benefits. Values are exposure-weighted averages of the graduated and blended probabilities of death across all ages from tables 1A and 1B.
3. Future lifetime at duration t represents the aggregate life expectancy in years for those originally entitled to disability benefits who have not died after t years. Values are exposure-weighted averages of expected future lifetime across all ages from tables 3A and 3B.
Table 7A.Male HIV Disabled Beneficiaries (DI Program Only)
Probability of Death
(1997-2001 Social Security DI disability experience)
Select age
|
Duration of disability
|
Attained age
|
0
|
1
|
2
|
3
|
4
|
5
|
6
|
7
|
8
|
9
|
10 or more
|
18
|
0.068271
|
0.071075
|
0.046439
|
0.029412
|
0.021024
|
0.029781
|
0.045714
|
0.028605
|
0.028486
|
0.019149
|
0.005990
|
28
|
19
|
0.072613
|
0.076703
|
0.054723
|
0.042308
|
0.034184
|
0.039730
|
0.049102
|
0.034919
|
0.034457
|
0.024881
|
0.015978
|
29
|
|
|
|
|
|
|
|
|
|
|
|
|
|
20
|
0.076358
|
0.081758
|
0.062735
|
0.054713
|
0.047208
|
0.049457
|
0.050678
|
0.041374
|
0.040497
|
0.030322
|
0.025934
|
30
|
21
|
0.080790
|
0.087020
|
0.071357
|
0.065016
|
0.059188
|
0.057638
|
0.050290
|
0.047546
|
0.048328
|
0.035729
|
0.035443
|
31
|
22
|
0.086500
|
0.092314
|
0.078834
|
0.071646
|
0.068716
|
0.062943
|
0.048187
|
0.051738
|
0.056902
|
0.041117
|
0.043747
|
32
|
23
|
0.091888
|
0.094522
|
0.085696
|
0.075760
|
0.074314
|
0.062271
|
0.045300
|
0.054890
|
0.064132
|
0.047813
|
0.050496
|
33
|
24
|
0.095336
|
0.091201
|
0.091606
|
0.076777
|
0.076608
|
0.059477
|
0.044074
|
0.056275
|
0.066809
|
0.054160
|
0.052817
|
34
|
|
|
|
|
|
|
|
|
|
|
|
|
|
25
|
0.099734
|
0.085267
|
0.094376
|
0.074363
|
0.074167
|
0.059381
|
0.045207
|
0.055863
|
0.065155
|
0.058851
|
0.051809
|
35
|
26
|
0.103845
|
0.082785
|
0.091703
|
0.072815
|
0.067820
|
0.061082
|
0.050772
|
0.056444
|
0.060343
|
0.059862
|
0.051919
|
36
|
27
|
0.105822
|
0.082750
|
0.087872
|
0.073719
|
0.065738
|
0.059783
|
0.056730
|
0.056968
|
0.055292
|
0.058890
|
0.050627
|
37
|
28
|
0.103697
|
0.081121
|
0.083602
|
0.074351
|
0.068152
|
0.060026
|
0.060117
|
0.056866
|
0.050930
|
0.058976
|
0.050368
|
38
|
29
|
0.101986
|
0.081013
|
0.079786
|
0.072729
|
0.067760
|
0.058740
|
0.061300
|
0.054836
|
0.047806
|
0.059390
|
0.051937
|
39
|
|
|
|
|
|
|
|
|
|
|
|
|
|
30
|
0.102714
|
0.082020
|
0.079011
|
0.069217
|
0.067656
|
0.058412
|
0.060068
|
0.052156
|
0.046410
|
0.059923
|
0.055621
|
40
|
31
|
0.107434
|
0.081299
|
0.077870
|
0.066696
|
0.066711
|
0.059669
|
0.056658
|
0.053413
|
0.048591
|
0.058965
|
0.060522
|
41
|
32
|
0.111109
|
0.080473
|
0.077164
|
0.069272
|
0.064168
|
0.058583
|
0.057472
|
0.053076
|
0.052962
|
0.056112
|
0.063219
|
42
|
33
|
0.111433
|
0.077329
|
0.076830
|
0.069016
|
0.062268
|
0.061113
|
0.061106
|
0.052541
|
0.061074
|
0.053178
|
0.062743
|
43
|
34
|
0.110225
|
0.076132
|
0.076952
|
0.067577
|
0.063516
|
0.065985
|
0.061291
|
0.053912
|
0.062405
|
0.052431
|
0.063519
|
44
|
|
|
|
|
|
|
|
|
|
|
|
|
|
35
|
0.107466
|
0.077638
|
0.074457
|
0.070840
|
0.069373
|
0.068671
|
0.059251
|
0.056333
|
0.060415
|
0.055772
|
0.063124
|
45
|
36
|
0.105250
|
0.078832
|
0.073683
|
0.071628
|
0.069991
|
0.068221
|
0.060908
|
0.059259
|
0.057525
|
0.061765
|
0.063685
|
46
|
37
|
0.107908
|
0.079135
|
0.073020
|
0.070080
|
0.072453
|
0.064897
|
0.061453
|
0.060769
|
0.059021
|
0.068391
|
0.066194
|
47
|
38
|
0.116426
|
0.082358
|
0.073913
|
0.071808
|
0.069669
|
0.061037
|
0.066221
|
0.061877
|
0.059989
|
0.070215
|
0.067565
|
48
|
39
|
0.120005
|
0.083720
|
0.077749
|
0.071820
|
0.068704
|
0.062718
|
0.069077
|
0.062188
|
0.062844
|
0.068176
|
0.067852
|
49
|
|
|
|
|
|
|
|
|
|
|
|
|
|
40
|
0.122672
|
0.083799
|
0.080498
|
0.072782
|
0.071178
|
0.064970
|
0.067165
|
0.060844
|
0.067199
|
0.066506
|
0.067549
|
50
|
41
|
0.118538
|
0.081781
|
0.077710
|
0.072892
|
0.070706
|
0.068931
|
0.065299
|
0.061667
|
0.072837
|
0.068632
|
0.064954
|
51
|
42
|
0.112346
|
0.079150
|
0.075264
|
0.071844
|
0.071470
|
0.070957
|
0.066148
|
0.061954
|
0.078047
|
0.071417
|
0.062696
|
52
|
43
|
0.114542
|
0.080987
|
0.075481
|
0.076007
|
0.072265
|
0.071115
|
0.070863
|
0.064901
|
0.079832
|
0.073563
|
0.061027
|
53
|
44
|
0.119511
|
0.083911
|
0.075815
|
0.078965
|
0.072659
|
0.071885
|
0.072610
|
0.068076
|
0.078755
|
0.076278
|
0.060028
|
54
|
|
|
|
|
|
|
|
|
|
|
|
|
|
45
|
0.128916
|
0.087518
|
0.077165
|
0.082293
|
0.074672
|
0.070915
|
0.070921
|
0.071338
|
0.076384
|
0.078061
|
0.057412
|
55
|
46
|
0.137705
|
0.092144
|
0.078727
|
0.081917
|
0.071291
|
0.069102
|
0.068912
|
0.075204
|
0.073441
|
0.077849
|
0.055952
|
56
|
47
|
0.144601
|
0.098745
|
0.077234
|
0.077542
|
0.068164
|
0.066059
|
0.066926
|
0.075633
|
0.072650
|
0.074871
|
0.056191
|
57
|
48
|
0.145673
|
0.098522
|
0.075689
|
0.072783
|
0.069805
|
0.065749
|
0.067089
|
0.075351
|
0.070579
|
0.071853
|
0.057672
|
58
|
49
|
0.145932
|
0.097284
|
0.074819
|
0.069509
|
0.072749
|
0.066217
|
0.068520
|
0.075341
|
0.067776
|
0.072004
|
0.059171
|
59
|
|
|
|
|
|
|
|
|
|
|
|
|
|
50
|
0.143177
|
0.093773
|
0.077319
|
0.072269
|
0.075188
|
0.068065
|
0.075386
|
0.077963
|
0.065532
|
0.074391
|
0.061165
|
60
|
51
|
0.142787
|
0.092109
|
0.079363
|
0.079858
|
0.077515
|
0.073270
|
0.083526
|
0.080815
|
0.065386
|
0.076604
|
0.062912
|
61
|
52
|
0.137683
|
0.090771
|
0.084425
|
0.083864
|
0.078278
|
0.080126
|
0.090433
|
0.083472
|
0.067406
|
0.077628
|
0.063657
|
62
|
53
|
0.134517
|
0.087967
|
0.090606
|
0.087073
|
0.081050
|
0.086846
|
0.095260
|
0.085530
|
0.072182
|
0.079629
|
0.065987
|
63
|
54
|
0.130404
|
0.087929
|
0.094037
|
0.086553
|
0.084496
|
0.091527
|
0.095260
|
0.086324
|
0.077373
|
0.082140
|
0.069607
|
64
|
|
|
|
|
|
|
|
|
|
|
|
|
|
55
|
0.127343
|
0.088175
|
0.094007
|
0.085587
|
0.087801
|
0.093550
|
0.095260
|
0.087634
|
0.080850
|
0.083294
|
0.073900
|
65
|
56
|
0.126627
|
0.090142
|
0.096386
|
0.081968
|
0.088668
|
0.094270
|
0.093634
|
0.087709
|
0.083861
|
0.083704
|
0.079536
|
66
|
57
|
0.129975
|
0.091870
|
0.098831
|
0.080933
|
0.091015
|
0.090825
|
0.090835
|
0.088015
|
0.086304
|
0.084658
|
0.084836
|
67
|
58
|
0.135055
|
0.092981
|
0.098627
|
0.079559
|
0.091449
|
0.086795
|
0.090031
|
0.087518
|
0.087786
|
0.085975
|
0.088400
|
68
|
59
|
0.140298
|
0.096991
|
0.097709
|
0.082699
|
0.090561
|
0.083310
|
0.091755
|
0.086217
|
0.087477
|
0.086790
|
0.090455
|
69
|
|
|
|
|
|
|
|
|
|
|
|
|
|
60
|
0.147956
|
0.104275
|
0.098053
|
0.090995
|
0.089676
|
0.083715
|
0.095311
|
0.085510
|
0.085321
|
0.086723
|
0.092485
|
70
|
61
|
0.160613
|
0.113792
|
0.101031
|
0.101483
|
0.090884
|
0.087959
|
0.096860
|
0.084778
|
0.082473
|
0.086381
|
0.096529
|
71
|
62
|
0.171302
|
0.124292
|
0.108780
|
0.109707
|
0.095864
|
0.093188
|
0.097541
|
0.083337
|
0.079066
|
0.085544
|
0.102877
|
72
|
63
|
0.182391
|
0.135917
|
0.119078
|
0.116821
|
0.101385
|
0.098016
|
0.097136
|
0.081609
|
0.075900
|
0.084410
|
0.110060
|
73
|
64
|
0.194901
|
0.149854
|
0.128624
|
0.124210
|
0.106701
|
0.102466
|
0.095654
|
0.079406
|
0.072407
|
0.083387
|
0.118244
|
74
|
Notes:
1. Select age denotes age last birthday at entitlement to disability benefits. Duration measured in years since selection. Attained age calculated as sum of select age and duration. Results do not include auxiliary beneficiaries payable under the DI program. Probabilities reflect experience of the DI rolls only. Beneficiaries may be concurrently entitled to DI and SSI benefits, but those entitled to SSI only are not considered.
2. The value q[x]+t at duration t represents the probability of deathin a multiple-decrement environmentduring the (t+1) year of entitlement for those originally entitled to disability benefits at select age [x] who have attained age [x]+t.
3. Select-and-ultimate table is read across the row for 0-10 years since selection, and down the last (ultimate) column for 10 or more years since selection.
4. Results have been graduated using the Whittaker-Henderson Type B two-dimensional method.
Table 7B.Female HIV Disabled Beneficiaries (DI Program Only)
Probability of Death
(1997-2001 Social Security DI disability experience)
Select age
|
Duration of disability
|
Attained age
|
0
|
1
|
2
|
3
|
4
|
5
|
6
|
7
|
8
|
9
|
10 or more
|
18
|
0.068820
|
0.107034
|
0.120594
|
0.115396
|
0.089705
|
0.051520
|
0.022305
|
0.016877
|
0.031300
|
0.042220
|
0.043192
|
28
|
19
|
0.073888
|
0.104300
|
0.117035
|
0.108615
|
0.087115
|
0.054024
|
0.025793
|
0.018461
|
0.033848
|
0.041903
|
0.040511
|
29
|
|
|
|
|
|
|
|
|
|
|
|
|
|
20
|
0.078742
|
0.100573
|
0.112637
|
0.101986
|
0.083942
|
0.056229
|
0.029305
|
0.020151
|
0.036042
|
0.041168
|
0.037764
|
30
|
21
|
0.084531
|
0.095467
|
0.106115
|
0.095089
|
0.081348
|
0.057313
|
0.032779
|
0.022269
|
0.037078
|
0.039267
|
0.034677
|
31
|
22
|
0.091998
|
0.090693
|
0.098794
|
0.087842
|
0.078998
|
0.057752
|
0.036366
|
0.025002
|
0.036882
|
0.037667
|
0.032520
|
32
|
23
|
0.098870
|
0.087715
|
0.090645
|
0.080512
|
0.074476
|
0.057140
|
0.039775
|
0.028184
|
0.036592
|
0.036794
|
0.031820
|
33
|
24
|
0.104976
|
0.087978
|
0.084087
|
0.072504
|
0.067922
|
0.056493
|
0.044245
|
0.031728
|
0.036392
|
0.037203
|
0.033247
|
34
|
|
|
|
|
|
|
|
|
|
|
|
|
|
25
|
0.110985
|
0.093041
|
0.083574
|
0.064928
|
0.061811
|
0.055906
|
0.049258
|
0.035902
|
0.036321
|
0.039011
|
0.035958
|
35
|
26
|
0.115924
|
0.100127
|
0.086403
|
0.060116
|
0.054887
|
0.055780
|
0.052532
|
0.039746
|
0.036992
|
0.041804
|
0.038044
|
36
|
27
|
0.118640
|
0.104697
|
0.088278
|
0.059270
|
0.049798
|
0.058205
|
0.054408
|
0.043864
|
0.039167
|
0.043900
|
0.038834
|
37
|
28
|
0.119398
|
0.106605
|
0.086497
|
0.061059
|
0.045978
|
0.061743
|
0.054221
|
0.047392
|
0.042623
|
0.045162
|
0.039722
|
38
|
29
|
0.118222
|
0.106528
|
0.084599
|
0.062889
|
0.043470
|
0.061329
|
0.051393
|
0.049915
|
0.045720
|
0.047713
|
0.040297
|
39
|
|
|
|
|
|
|
|
|
|
|
|
|
|
30
|
0.115270
|
0.102682
|
0.083558
|
0.062804
|
0.045631
|
0.058627
|
0.048103
|
0.050286
|
0.047950
|
0.051289
|
0.038780
|
40
|
31
|
0.112118
|
0.096646
|
0.082462
|
0.062010
|
0.050671
|
0.056054
|
0.045594
|
0.048890
|
0.049557
|
0.054043
|
0.034018
|
41
|
32
|
0.109548
|
0.089918
|
0.082355
|
0.061706
|
0.055282
|
0.053713
|
0.044472
|
0.046948
|
0.051812
|
0.053974
|
0.029865
|
42
|
33
|
0.109739
|
0.085884
|
0.081867
|
0.061484
|
0.057530
|
0.052125
|
0.045419
|
0.045824
|
0.055056
|
0.052689
|
0.028608
|
43
|
34
|
0.109139
|
0.084174
|
0.079815
|
0.061583
|
0.056684
|
0.052446
|
0.048558
|
0.045796
|
0.058341
|
0.049613
|
0.028188
|
44
|
|
|
|
|
|
|
|
|
|
|
|
|
|
35
|
0.103676
|
0.083553
|
0.077268
|
0.062778
|
0.056766
|
0.054775
|
0.053598
|
0.047681
|
0.059970
|
0.046825
|
0.029073
|
45
|
36
|
0.100576
|
0.080217
|
0.074543
|
0.064679
|
0.059507
|
0.057446
|
0.056165
|
0.050719
|
0.059897
|
0.046267
|
0.031635
|
46
|
37
|
0.100081
|
0.079529
|
0.073548
|
0.067941
|
0.064689
|
0.061317
|
0.057294
|
0.051583
|
0.059465
|
0.046146
|
0.033706
|
47
|
38
|
0.099652
|
0.082367
|
0.074461
|
0.071335
|
0.068971
|
0.065093
|
0.057004
|
0.051423
|
0.058710
|
0.043935
|
0.034667
|
48
|
39
|
0.099752
|
0.086759
|
0.074334
|
0.072375
|
0.070766
|
0.066561
|
0.055398
|
0.052212
|
0.057026
|
0.041873
|
0.034854
|
49
|
|
|
|
|
|
|
|
|
|
|
|
|
|
40
|
0.101624
|
0.090156
|
0.071364
|
0.070541
|
0.070287
|
0.063665
|
0.054408
|
0.052373
|
0.054547
|
0.041760
|
0.034849
|
50
|
41
|
0.104728
|
0.090821
|
0.067480
|
0.066843
|
0.068601
|
0.058683
|
0.054529
|
0.053568
|
0.052069
|
0.043611
|
0.034954
|
51
|
42
|
0.110179
|
0.088468
|
0.062845
|
0.062807
|
0.066061
|
0.056986
|
0.056070
|
0.055845
|
0.049689
|
0.047035
|
0.034329
|
52
|
43
|
0.112708
|
0.085576
|
0.061073
|
0.059285
|
0.066133
|
0.057391
|
0.057742
|
0.055737
|
0.048533
|
0.051350
|
0.032298
|
53
|
44
|
0.113599
|
0.085366
|
0.063020
|
0.058274
|
0.068668
|
0.060746
|
0.058591
|
0.055141
|
0.049776
|
0.054596
|
0.030624
|
54
|
|
|
|
|
|
|
|
|
|
|
|
|
|
45
|
0.112129
|
0.085671
|
0.066075
|
0.057618
|
0.070023
|
0.064318
|
0.059538
|
0.054918
|
0.052862
|
0.055876
|
0.029267
|
55
|
46
|
0.111026
|
0.087934
|
0.071538
|
0.055583
|
0.067114
|
0.064880
|
0.057119
|
0.054243
|
0.056498
|
0.056960
|
0.028804
|
56
|
47
|
0.112039
|
0.090448
|
0.075242
|
0.053438
|
0.063946
|
0.062627
|
0.052181
|
0.052575
|
0.060227
|
0.058317
|
0.028847
|
57
|
48
|
0.114402
|
0.092894
|
0.075840
|
0.053318
|
0.061549
|
0.058617
|
0.047743
|
0.051073
|
0.062989
|
0.059731
|
0.029021
|
58
|
49
|
0.118098
|
0.092780
|
0.075127
|
0.053709
|
0.060473
|
0.053755
|
0.044718
|
0.050875
|
0.065145
|
0.061859
|
0.029406
|
59
|
|
|
|
|
|
|
|
|
|
|
|
|
|
50
|
0.120558
|
0.091501
|
0.071205
|
0.053351
|
0.059577
|
0.048706
|
0.044192
|
0.051816
|
0.067498
|
0.064309
|
0.031117
|
60
|
51
|
0.120875
|
0.090637
|
0.066690
|
0.054131
|
0.058472
|
0.046285
|
0.046338
|
0.054124
|
0.069836
|
0.067047
|
0.033193
|
61
|
52
|
0.117804
|
0.089063
|
0.064464
|
0.056979
|
0.058938
|
0.048035
|
0.051100
|
0.057226
|
0.071931
|
0.068323
|
0.034366
|
62
|
53
|
0.111171
|
0.087590
|
0.066420
|
0.061575
|
0.061094
|
0.053330
|
0.058134
|
0.060902
|
0.072562
|
0.066129
|
0.037577
|
63
|
54
|
0.104896
|
0.084301
|
0.071634
|
0.066921
|
0.065085
|
0.061023
|
0.064687
|
0.064592
|
0.071788
|
0.062874
|
0.039083
|
64
|
|
|
|
|
|
|
|
|
|
|
|
|
|
55
|
0.097611
|
0.081516
|
0.076248
|
0.071502
|
0.070621
|
0.069484
|
0.068671
|
0.067693
|
0.070164
|
0.059619
|
0.041693
|
65
|
56
|
0.092511
|
0.079022
|
0.077399
|
0.074830
|
0.076374
|
0.077336
|
0.070835
|
0.069836
|
0.068012
|
0.057231
|
0.043240
|
66
|
57
|
0.091052
|
0.077729
|
0.075574
|
0.074700
|
0.082037
|
0.083444
|
0.071854
|
0.070447
|
0.065604
|
0.055796
|
0.046266
|
67
|
58
|
0.090294
|
0.074640
|
0.072105
|
0.072614
|
0.086047
|
0.086903
|
0.071769
|
0.068688
|
0.062979
|
0.054262
|
0.048983
|
68
|
59
|
0.094415
|
0.070566
|
0.068738
|
0.069138
|
0.086674
|
0.087161
|
0.070306
|
0.065281
|
0.060246
|
0.052761
|
0.051145
|
69
|
|
|
|
|
|
|
|
|
|
|
|
|
|
60
|
0.093709
|
0.065270
|
0.065319
|
0.065621
|
0.084543
|
0.083751
|
0.067049
|
0.060884
|
0.056921
|
0.051519
|
0.052765
|
70
|
61
|
0.109528
|
0.065238
|
0.061384
|
0.063262
|
0.079945
|
0.077560
|
0.062728
|
0.056209
|
0.054688
|
0.056909
|
0.056387
|
71
|
62
|
0.114977
|
0.070970
|
0.057983
|
0.062082
|
0.074284
|
0.070639
|
0.057504
|
0.055330
|
0.059044
|
0.062028
|
0.060999
|
72
|
63
|
0.137784
|
0.084119
|
0.065740
|
0.061945
|
0.067917
|
0.063862
|
0.061103
|
0.066324
|
0.063749
|
0.066573
|
0.062977
|
73
|
64
|
0.163086
|
0.092248
|
0.074113
|
0.061630
|
0.061527
|
0.065871
|
0.070327
|
0.069503
|
0.066788
|
0.077493
|
0.067271
|
74
|
Notes:
1. Select age denotes age last birthday at entitlement to disability benefits. Duration measured in years since selection. Attained age calculated as sum of select age and duration. Results do not include auxiliary beneficiaries payable under the DI program. Probabilities reflect experience of the DI rolls only. Beneficiaries may be concurrently entitled to DI and SSI benefits, but those entitled to SSI only are not considered.
2. The value q[x]+t at duration t represents the probability of deathin a multiple-decrement environmentduring the (t+1) year of entitlement for those originally entitled to disability benefits at select age [x] who have attained age [x]+t.
3. Select-and-ultimate table is read across the row for 0-10 years since selection, and down the last (ultimate) column for 10 or more years since selection.
4. Results have been graduated using the Whittaker-Henderson Type B two-dimensional method.
Appendix A
HIV Experience 1992-96
Mortality 1992-1996
This appendix presents HIV mortality experience for the DI and SSI rolls over the period 1992-96. CDC tracking shows that AIDS incidence in the general population peaked in 1993, due in part to the expansion of the AIDS surveillance case defintion. The estimated number of deaths among persons with AIDS increased steadily through 1994, and then began to decline. Since the use of HAART became widespread during 1996, trends in AIDS incidence have become less reflective of underlying trends in HIV transmission. Beginning in 1996, a substantial increase in AIDS prevalence in the general population occured as a result of declines in AIDS deaths. AIDS incidence and deaths leveled off while AIDS prevalence continued to increase from 1998 through the period covered by the June 2001 CDC report.
The tables that follow are similar to those in the main section of this study, but show mortality experience for the preceding 5-year period. Mortality for DI and SSI beneficiaries with HIV was substantially higher during 1992-96 than during 1997-2001. As mentioned previously, much of the difference appears to coincide with the advent of HAART in 1996, as well as increased use of prophylactic drugs to prevent secondary AIDS-opportunistic illnesses. As discussed in the main section, differences in the composition of the rolls may also have played a part in the mortality improvements seen in the later period.
These factors had a significant impact on HIV disability with respect to new entitlements and deaths, which in turn had a significant impact on exposure of the DI and SSI rolls. Over the period 1992-96, there were roughly 143,000 new HIV beneficiaries, compared to 59,000 over the period 1997-2001. In addition, during 1992-96, approximately 145,700 HIV beneficiaries were terminated from the DI and SSI rolls as a result of death, compared to 58,400 during 1997-2001. Although the rolls experienced a significant decline in entitlements, the number of life-years of exposure actually increased by 18 percent between the two 5-year periods. This is due to significant mortality improvements as beneficiaries remain on the rolls for a longer period of time.
The improvements in mortality between the two observation periods is substantial for both male and female beneficiaries. Male deaths decreased by 64 percent, while exposure increased by 12 percent. Female deaths decreased by 35 percent, while exposure increased by 38 percent. The sizable increase in exposure among females is reflective of patterns seen in the overall AIDS population monitored by CDC. According to CDC reports, women accounted for an increasing proportion of persons living with AIDS from 1992 through 1999. In 1999, 25 percent of adults and adolescents reported as having AIDS were women. Furthermore, AIDS as a leading cause of death among women aged 25-44 had dropped from fourth in 1993 to fifth in 1999. As discussed, mortality improvements increase the exposure of the disability rolls by lengthening the stay of beneficiaries.
Differences in AIDS incidence and death rates between males and females may be due in part to different methods of transmission, timeliness of diagnosis, and access to treatment. CDC reports indicate that about 25 percent of women with AIDS are infected through injection drug use while 75 percent are infected through heterosexual contact. Drug use is also a factor in many of the cases attributed to heterosexual contact. Many women may have been unaware that they were at risk for HIV infection and may have remained undiagnosed until the onset of AIDS or until a perinatally infected child became ill.
Tables A.1A and A.1B show select-and-ultimate probabilities of death for male and female HIV disabled beneficiaries, by select age and duration since selection. Data reflect the combined actual experience of the DI and SSI rolls from January 1, 1992 through December 31, 1996. The methods used in table construction and graduation are the same as that used for 1997-2001. See appendix B for details.
For any given select age, the highest probability of death occurs within the first several durations. For males, at most select ages, mortality levels off around the third duration, then generally decreases thereafter; mortality may trend upward at the extreme older attained ages. For females, death probabilities may level off around the third duration and then continue to decrease gradually before slightly increasing when the beneficiaries reach their late fifties or early sixties. For those entering the rolls at higher ages, death probabilities do not show this slight increase until the later durations. As mentioned previously, trends in the data are not always predictable since it cannot be known with certainty how long individuals have been infected.
Tables A.2A and A.2B are survival tables showing the progression of a series of cohortseach for a given select agereflecting the probabilities of death shown in tables A.1A and A.1B.
Tables A.3A and A.3B show the expected future lifetime of male and female HIV disabled beneficiaries. Females display a higher future lifetime than males. Expected lifetimes for females may be nearly twice as long at early durations, diminishing to roughly 25-35 percent longer at later durations. As with general disability mortality, HIV beneficiaries often exhibit a shorter life expectancy in the first several years of entitlement than in later durations. This is due to higher mortality in those years.
Tables A.4 and A.5 show the aggregate probability of death and expected future lifetime, by select and attained ages. Table A.6 presents aggregated results based on duration.
Tables A.7A and A.7B show select-and-ultimate probabilities of death for HIV disabled workers by select age and duration. These tables are similar to tables A.1A and A.1B, with the exception that only the experience of the DI rolls is reflected.
Table A.1A.Male HIV Disabled Beneficiaries
Probability of Death
(1992-96 Social Security DI and SSI disability experience)
Select age
|
Duration of disability
|
Attained age
|
0
|
1
|
2
|
3
|
4
|
5
|
6
|
7
|
8
|
9
|
10 or more
|
18
|
0.076854
|
0.087708
|
0.089206
|
0.061027
|
0.055461
|
0.087573
|
0.070788
|
0.080378
|
0.065548
|
0.059547
|
0.026175
|
28
|
19
|
0.088874
|
0.111011
|
0.105061
|
0.079145
|
0.067732
|
0.090831
|
0.076339
|
0.079188
|
0.070155
|
0.058508
|
0.035386
|
29
|
|
|
|
|
|
|
|
|
|
|
|
|
|
20
|
0.104281
|
0.133725
|
0.120939
|
0.095781
|
0.077351
|
0.092170
|
0.079426
|
0.078617
|
0.073486
|
0.057869
|
0.044016
|
30
|
21
|
0.127002
|
0.156426
|
0.138630
|
0.112881
|
0.090422
|
0.089519
|
0.080527
|
0.078631
|
0.075761
|
0.060260
|
0.051570
|
31
|
22
|
0.149153
|
0.179238
|
0.164257
|
0.129726
|
0.101194
|
0.088661
|
0.078652
|
0.078970
|
0.079870
|
0.064220
|
0.056535
|
32
|
23
|
0.169807
|
0.203900
|
0.187145
|
0.146936
|
0.112418
|
0.095086
|
0.081696
|
0.091566
|
0.085960
|
0.061022
|
0.059417
|
33
|
24
|
0.191459
|
0.222371
|
0.208194
|
0.161924
|
0.124441
|
0.107506
|
0.088324
|
0.099555
|
0.088669
|
0.067597
|
0.062410
|
34
|
|
|
|
|
|
|
|
|
|
|
|
|
|
25
|
0.211794
|
0.237443
|
0.223288
|
0.174746
|
0.135778
|
0.116840
|
0.095417
|
0.102310
|
0.085295
|
0.073380
|
0.064590
|
35
|
26
|
0.223894
|
0.248470
|
0.231472
|
0.186327
|
0.141372
|
0.124218
|
0.105238
|
0.102703
|
0.084406
|
0.079017
|
0.066222
|
36
|
27
|
0.234227
|
0.253022
|
0.240856
|
0.192747
|
0.147224
|
0.129855
|
0.114649
|
0.102039
|
0.092021
|
0.082970
|
0.068403
|
37
|
28
|
0.247396
|
0.266549
|
0.241721
|
0.196555
|
0.153409
|
0.134009
|
0.118944
|
0.103979
|
0.096997
|
0.084305
|
0.070790
|
38
|
29
|
0.255681
|
0.272477
|
0.246727
|
0.199476
|
0.158608
|
0.140066
|
0.115353
|
0.107825
|
0.101039
|
0.084618
|
0.069896
|
39
|
|
|
|
|
|
|
|
|
|
|
|
|
|
30
|
0.262582
|
0.273916
|
0.245352
|
0.202317
|
0.162491
|
0.143509
|
0.112252
|
0.113671
|
0.102428
|
0.084143
|
0.071026
|
40
|
31
|
0.262492
|
0.273752
|
0.249462
|
0.203200
|
0.170781
|
0.144953
|
0.114585
|
0.117337
|
0.101961
|
0.085396
|
0.077454
|
41
|
32
|
0.272588
|
0.277835
|
0.252508
|
0.208816
|
0.174610
|
0.143782
|
0.121687
|
0.121073
|
0.099009
|
0.087663
|
0.079225
|
42
|
33
|
0.277280
|
0.277223
|
0.249079
|
0.209383
|
0.174784
|
0.145165
|
0.129459
|
0.123251
|
0.096419
|
0.089548
|
0.078623
|
43
|
34
|
0.278042
|
0.273672
|
0.250438
|
0.206304
|
0.179656
|
0.143489
|
0.132242
|
0.123669
|
0.095400
|
0.089701
|
0.080310
|
44
|
|
|
|
|
|
|
|
|
|
|
|
|
|
35
|
0.276746
|
0.270405
|
0.251872
|
0.204776
|
0.178754
|
0.143763
|
0.127044
|
0.123753
|
0.096958
|
0.091050
|
0.084384
|
45
|
36
|
0.279568
|
0.267104
|
0.245948
|
0.201826
|
0.176243
|
0.149285
|
0.125747
|
0.118037
|
0.097954
|
0.093478
|
0.087532
|
46
|
37
|
0.284982
|
0.272810
|
0.242287
|
0.204325
|
0.172484
|
0.156178
|
0.125975
|
0.110450
|
0.095949
|
0.095096
|
0.088550
|
47
|
38
|
0.290236
|
0.274323
|
0.242698
|
0.203122
|
0.166164
|
0.157617
|
0.127009
|
0.104626
|
0.094064
|
0.095632
|
0.089440
|
48
|
39
|
0.290438
|
0.276575
|
0.238931
|
0.203952
|
0.163713
|
0.151476
|
0.131751
|
0.104720
|
0.093154
|
0.094968
|
0.090336
|
49
|
|
|
|
|
|
|
|
|
|
|
|
|
|
40
|
0.298357
|
0.273055
|
0.240921
|
0.200075
|
0.164327
|
0.154070
|
0.139893
|
0.107317
|
0.093673
|
0.094886
|
0.089957
|
50
|
41
|
0.298605
|
0.275193
|
0.243805
|
0.195507
|
0.168595
|
0.157377
|
0.144743
|
0.112590
|
0.097034
|
0.096361
|
0.092158
|
51
|
42
|
0.299178
|
0.283952
|
0.244801
|
0.196684
|
0.165885
|
0.160740
|
0.145978
|
0.118866
|
0.101779
|
0.098606
|
0.096097
|
52
|
43
|
0.305512
|
0.285130
|
0.246607
|
0.201174
|
0.165428
|
0.160052
|
0.148671
|
0.123840
|
0.104544
|
0.103736
|
0.093240
|
53
|
44
|
0.310086
|
0.282741
|
0.251835
|
0.206170
|
0.170031
|
0.158247
|
0.150182
|
0.127483
|
0.105013
|
0.108852
|
0.097761
|
54
|
|
|
|
|
|
|
|
|
|
|
|
|
|
45
|
0.312000
|
0.285120
|
0.256819
|
0.205690
|
0.170441
|
0.157813
|
0.147055
|
0.128224
|
0.103943
|
0.112810
|
0.101354
|
55
|
46
|
0.319068
|
0.286988
|
0.263322
|
0.207687
|
0.169840
|
0.155792
|
0.142093
|
0.126635
|
0.103524
|
0.112463
|
0.103919
|
56
|
47
|
0.325155
|
0.289302
|
0.260181
|
0.214868
|
0.169018
|
0.156155
|
0.137459
|
0.122303
|
0.103385
|
0.107591
|
0.104140
|
57
|
48
|
0.326830
|
0.293370
|
0.261429
|
0.219118
|
0.166567
|
0.156682
|
0.131716
|
0.117504
|
0.101720
|
0.103935
|
0.102500
|
58
|
49
|
0.333441
|
0.297094
|
0.265384
|
0.221851
|
0.167153
|
0.155407
|
0.126173
|
0.113150
|
0.102387
|
0.105901
|
0.100921
|
59
|
|
|
|
|
|
|
|
|
|
|
|
|
|
50
|
0.329299
|
0.302086
|
0.270121
|
0.225542
|
0.170018
|
0.153895
|
0.122926
|
0.111385
|
0.103936
|
0.112406
|
0.097517
|
60
|
51
|
0.331425
|
0.306147
|
0.271023
|
0.228113
|
0.174460
|
0.153080
|
0.122289
|
0.112641
|
0.107836
|
0.119033
|
0.097252
|
61
|
52
|
0.344114
|
0.308002
|
0.267129
|
0.223546
|
0.176198
|
0.154484
|
0.131541
|
0.117515
|
0.110114
|
0.121675
|
0.098073
|
62
|
53
|
0.354920
|
0.308057
|
0.264875
|
0.216804
|
0.175384
|
0.155285
|
0.140352
|
0.122783
|
0.112347
|
0.123781
|
0.102190
|
63
|
54
|
0.362036
|
0.300859
|
0.260001
|
0.213344
|
0.175294
|
0.154543
|
0.143415
|
0.128310
|
0.113044
|
0.123906
|
0.106274
|
64
|
|
|
|
|
|
|
|
|
|
|
|
|
|
55
|
0.361238
|
0.291687
|
0.256044
|
0.213911
|
0.179922
|
0.154113
|
0.147705
|
0.132968
|
0.112206
|
0.121308
|
0.109171
|
65
|
56
|
0.360717
|
0.294804
|
0.256608
|
0.220779
|
0.188223
|
0.152456
|
0.149058
|
0.132703
|
0.113170
|
0.116670
|
0.111589
|
66
|
57
|
0.353863
|
0.307232
|
0.260317
|
0.226115
|
0.196934
|
0.152235
|
0.147468
|
0.131111
|
0.114915
|
0.113411
|
0.111121
|
67
|
58
|
0.353248
|
0.318283
|
0.262259
|
0.226929
|
0.202298
|
0.154343
|
0.147794
|
0.128216
|
0.115781
|
0.110728
|
0.109318
|
68
|
59
|
0.353820
|
0.323809
|
0.266328
|
0.228780
|
0.204966
|
0.157499
|
0.149973
|
0.124583
|
0.114660
|
0.108632
|
0.108615
|
69
|
|
|
|
|
|
|
|
|
|
|
|
|
|
60
|
0.349970
|
0.320039
|
0.269343
|
0.230568
|
0.201874
|
0.161626
|
0.154043
|
0.130011
|
0.128334
|
0.123218
|
0.110874
|
70
|
61
|
0.354594
|
0.316883
|
0.274645
|
0.227097
|
0.195777
|
0.165443
|
0.154521
|
0.127149
|
0.123095
|
0.121773
|
0.117155
|
71
|
62
|
0.368210
|
0.316184
|
0.276578
|
0.222405
|
0.189674
|
0.168565
|
0.152420
|
0.124224
|
0.115838
|
0.118986
|
0.127465
|
72
|
63
|
0.391356
|
0.313595
|
0.276680
|
0.220313
|
0.186713
|
0.170875
|
0.147479
|
0.121571
|
0.108120
|
0.115752
|
0.139658
|
73
|
64
|
0.419454
|
0.309333
|
0.277131
|
0.221166
|
0.186149
|
0.172704
|
0.141317
|
0.117650
|
0.099768
|
0.112677
|
0.152286
|
74
|
Notes:
1. Select age denotes age last birthday at entitlement to disability benefits. Duration measured in years since selection. Attained age calculated as sum of select age and duration. Results do not include auxiliary beneficiaries payable under the DI program.
2. The value q[x]+t at duration t represents the probability of deathin a multiple-decrement environmentduring the (t+1) year of entitlement for those originally entitled to disability benefits at select age [x] who have attained age [x]+t.
3. Select-and-ultimate table is read across the row for 0-10 years since selection, and down the last (ultimate) column for 10 or more years since selection.
4. Results have been graduated using the Whittaker-Henderson Type B two-dimensional method.
Table A.1B.Female HIV Disabled Beneficiaries
Probability of Death
(1992-96 Social Security DI and SSI disability experience)
Select age
|
Duration of disability
|
Attained age
|
0
|
1
|
2
|
3
|
4
|
5
|
6
|
7
|
8
|
9
|
10 or more
|
18
|
0.082751
|
0.090393
|
0.117788
|
0.098218
|
0.065597
|
0.065452
|
0.045193
|
0.034998
|
0.018385
|
0.026223
|
0.046784
|
28
|
19
|
0.089243
|
0.105132
|
0.118067
|
0.092748
|
0.066672
|
0.066696
|
0.052358
|
0.036714
|
0.027481
|
0.035304
|
0.050400
|
29
|
|
|
|
|
|
|
|
|
|
|
|
|
|
20
|
0.098294
|
0.118578
|
0.118043
|
0.097977
|
0.074024
|
0.067802
|
0.058924
|
0.039017
|
0.035825
|
0.043411
|
0.055318
|
30
|
21
|
0.111335
|
0.131341
|
0.125088
|
0.103524
|
0.083800
|
0.074263
|
0.065104
|
0.042747
|
0.041727
|
0.048743
|
0.059317
|
31
|
22
|
0.123013
|
0.140365
|
0.132720
|
0.109097
|
0.093601
|
0.083003
|
0.070635
|
0.048154
|
0.047655
|
0.053114
|
0.060897
|
32
|
23
|
0.126575
|
0.148496
|
0.141063
|
0.115915
|
0.098078
|
0.088565
|
0.076078
|
0.054844
|
0.052638
|
0.055654
|
0.062307
|
33
|
24
|
0.128312
|
0.157740
|
0.149383
|
0.121854
|
0.100595
|
0.092605
|
0.081094
|
0.061663
|
0.055808
|
0.056273
|
0.065985
|
34
|
|
|
|
|
|
|
|
|
|
|
|
|
|
25
|
0.132162
|
0.162174
|
0.156305
|
0.126988
|
0.103041
|
0.096996
|
0.084308
|
0.067053
|
0.064554
|
0.057641
|
0.069859
|
35
|
26
|
0.137090
|
0.165702
|
0.160990
|
0.133272
|
0.107301
|
0.102375
|
0.085222
|
0.069111
|
0.065099
|
0.060624
|
0.070921
|
36
|
27
|
0.145245
|
0.170511
|
0.164451
|
0.136959
|
0.113191
|
0.108179
|
0.083463
|
0.069932
|
0.065549
|
0.060208
|
0.070564
|
37
|
28
|
0.151915
|
0.171312
|
0.162917
|
0.140622
|
0.119096
|
0.112411
|
0.084716
|
0.070034
|
0.065094
|
0.059163
|
0.066912
|
38
|
29
|
0.152792
|
0.175627
|
0.163873
|
0.140549
|
0.124344
|
0.114882
|
0.088502
|
0.071043
|
0.065400
|
0.063164
|
0.062867
|
39
|
|
|
|
|
|
|
|
|
|
|
|
|
|
30
|
0.154899
|
0.181945
|
0.164005
|
0.142868
|
0.129427
|
0.113452
|
0.092949
|
0.071484
|
0.065939
|
0.072689
|
0.060805
|
40
|
31
|
0.157998
|
0.184538
|
0.163815
|
0.140379
|
0.130037
|
0.110838
|
0.097701
|
0.071726
|
0.067243
|
0.080283
|
0.058985
|
41
|
32
|
0.164967
|
0.190119
|
0.164138
|
0.138620
|
0.127601
|
0.109060
|
0.099037
|
0.071392
|
0.070050
|
0.082036
|
0.059893
|
42
|
33
|
0.168997
|
0.191401
|
0.166015
|
0.138382
|
0.122873
|
0.108207
|
0.097777
|
0.069680
|
0.074464
|
0.083335
|
0.063225
|
43
|
34
|
0.168555
|
0.190670
|
0.171529
|
0.141274
|
0.119465
|
0.107679
|
0.095336
|
0.070019
|
0.078004
|
0.083155
|
0.065962
|
44
|
|
|
|
|
|
|
|
|
|
|
|
|
|
35
|
0.168210
|
0.189396
|
0.173929
|
0.146263
|
0.120162
|
0.108654
|
0.090670
|
0.072776
|
0.080881
|
0.080948
|
0.072005
|
45
|
36
|
0.173444
|
0.190212
|
0.171327
|
0.147692
|
0.127014
|
0.111075
|
0.088184
|
0.079991
|
0.079968
|
0.080033
|
0.079678
|
46
|
37
|
0.176340
|
0.191209
|
0.167844
|
0.151378
|
0.132665
|
0.112277
|
0.087326
|
0.081038
|
0.075373
|
0.079628
|
0.086972
|
47
|
38
|
0.175712
|
0.193409
|
0.166625
|
0.151050
|
0.132877
|
0.110974
|
0.088334
|
0.076441
|
0.074649
|
0.075244
|
0.090220
|
48
|
39
|
0.175740
|
0.193738
|
0.166777
|
0.150547
|
0.130857
|
0.105290
|
0.089679
|
0.074441
|
0.078786
|
0.071129
|
0.086236
|
49
|
|
|
|
|
|
|
|
|
|
|
|
|
|
40
|
0.176873
|
0.188901
|
0.168144
|
0.148431
|
0.125001
|
0.099432
|
0.089324
|
0.075778
|
0.082649
|
0.068878
|
0.077532
|
50
|
41
|
0.185870
|
0.187432
|
0.170996
|
0.147632
|
0.120090
|
0.097194
|
0.086040
|
0.081789
|
0.085024
|
0.070429
|
0.073062
|
51
|
42
|
0.192439
|
0.196984
|
0.175562
|
0.151154
|
0.116876
|
0.096593
|
0.088138
|
0.088114
|
0.083648
|
0.074776
|
0.068018
|
52
|
43
|
0.195503
|
0.204968
|
0.178768
|
0.153929
|
0.114936
|
0.093009
|
0.089280
|
0.090186
|
0.080473
|
0.079503
|
0.068522
|
53
|
44
|
0.204370
|
0.204143
|
0.179737
|
0.156918
|
0.113734
|
0.089748
|
0.090218
|
0.090629
|
0.080219
|
0.082158
|
0.068022
|
54
|
|
|
|
|
|
|
|
|
|
|
|
|
|
45
|
0.205202
|
0.198512
|
0.181910
|
0.159289
|
0.114914
|
0.087391
|
0.094454
|
0.089674
|
0.083071
|
0.083514
|
0.069530
|
55
|
46
|
0.205582
|
0.196627
|
0.182222
|
0.159655
|
0.116075
|
0.088879
|
0.094894
|
0.087614
|
0.087515
|
0.085248
|
0.071537
|
56
|
47
|
0.202576
|
0.193398
|
0.179979
|
0.156761
|
0.118945
|
0.092890
|
0.088118
|
0.083936
|
0.090681
|
0.085598
|
0.071753
|
57
|
48
|
0.198225
|
0.192478
|
0.174098
|
0.151553
|
0.122715
|
0.097134
|
0.083270
|
0.078883
|
0.092028
|
0.084504
|
0.068220
|
58
|
49
|
0.195191
|
0.192046
|
0.169453
|
0.144998
|
0.123607
|
0.099625
|
0.083251
|
0.075763
|
0.092708
|
0.084566
|
0.064416
|
59
|
|
|
|
|
|
|
|
|
|
|
|
|
|
50
|
0.197542
|
0.192152
|
0.165844
|
0.138417
|
0.123535
|
0.098844
|
0.081780
|
0.073229
|
0.093065
|
0.085928
|
0.059405
|
60
|
51
|
0.207099
|
0.193087
|
0.163666
|
0.133214
|
0.124143
|
0.096480
|
0.079281
|
0.073821
|
0.094253
|
0.088800
|
0.063368
|
61
|
52
|
0.222774
|
0.194415
|
0.162494
|
0.129738
|
0.123786
|
0.094349
|
0.084715
|
0.077260
|
0.095661
|
0.091889
|
0.065608
|
62
|
53
|
0.237979
|
0.195479
|
0.161793
|
0.128942
|
0.118795
|
0.090668
|
0.092171
|
0.081818
|
0.095410
|
0.091971
|
0.071738
|
63
|
54
|
0.250212
|
0.196691
|
0.162003
|
0.128235
|
0.110664
|
0.096921
|
0.097401
|
0.084806
|
0.093243
|
0.089819
|
0.074613
|
64
|
|
|
|
|
|
|
|
|
|
|
|
|
|
55
|
0.255247
|
0.197078
|
0.162178
|
0.126770
|
0.100734
|
0.101139
|
0.097856
|
0.086073
|
0.089900
|
0.086839
|
0.074290
|
65
|
56
|
0.250240
|
0.198349
|
0.161736
|
0.125276
|
0.092908
|
0.102283
|
0.094725
|
0.086271
|
0.085671
|
0.082684
|
0.077046
|
66
|
57
|
0.241707
|
0.201069
|
0.159419
|
0.123671
|
0.089008
|
0.102783
|
0.089910
|
0.085546
|
0.081999
|
0.078155
|
0.082438
|
67
|
58
|
0.232849
|
0.200560
|
0.157506
|
0.122520
|
0.088587
|
0.102585
|
0.084629
|
0.083476
|
0.078903
|
0.073373
|
0.087279
|
68
|
59
|
0.226566
|
0.198295
|
0.157165
|
0.122872
|
0.090956
|
0.099749
|
0.079169
|
0.080735
|
0.075924
|
0.068873
|
0.091130
|
69
|
|
|
|
|
|
|
|
|
|
|
|
|
|
60
|
0.224293
|
0.194705
|
0.157559
|
0.124162
|
0.094045
|
0.092171
|
0.073584
|
0.076556
|
0.072278
|
0.070407
|
0.094017
|
70
|
61
|
0.230104
|
0.192230
|
0.156676
|
0.125955
|
0.097062
|
0.081513
|
0.069730
|
0.070811
|
0.074574
|
0.077603
|
0.100472
|
71
|
62
|
0.241761
|
0.191976
|
0.155476
|
0.129517
|
0.099037
|
0.075218
|
0.075583
|
0.082784
|
0.081088
|
0.084584
|
0.108690
|
72
|
63
|
0.258972
|
0.195656
|
0.153301
|
0.134114
|
0.100313
|
0.079535
|
0.081329
|
0.094976
|
0.095894
|
0.090782
|
0.112214
|
73
|
64
|
0.278613
|
0.201569
|
0.152154
|
0.138303
|
0.101768
|
0.083767
|
0.087253
|
0.106816
|
0.110500
|
0.105672
|
0.119864
|
74
|
Notes:
1. Select age denotes age last birthday at entitlement to disability benefits. Duration measured in years since selection. Attained age calculated as sum of select age and duration. Results do not include auxiliary beneficiaries payable under the DI program.
2. The value q[x]+t at duration t represents the probability of deathin a multiple-decrement environmentduring the (t+1) year of entitlement for those originally entitled to disability benefits at select age [x] who have attained age [x]+t.
3. Select-and-ultimate table is read across the row for 0-10 years since selection, and down the last (ultimate) column for 10 or more years since selection.
4. Results have been graduated using the Whittaker-Henderson Type B two-dimensional method.
Table A.2A.Male HIV Disabled Beneficiaries
Survival Table
(1992-96 Social Security DI and SSI disability experience)
Select age
|
Duration of disability
|
Attained age
|
0
|
1
|
2
|
3
|
4
|
5
|
6
|
7
|
8
|
9
|
10 or more
|
18
|
100,000
|
92,315
|
84,218
|
76,705
|
72,024
|
68,029
|
62,072
|
57,678
|
53,042
|
49,565
|
46,614
|
28
|
19
|
107,756
|
98,179
|
87,280
|
78,110
|
71,928
|
67,056
|
60,965
|
56,311
|
51,852
|
48,214
|
45,394
|
29
|
|
|
|
|
|
|
|
|
|
|
|
|
|
20
|
114,481
|
102,543
|
88,830
|
78,087
|
70,608
|
65,146
|
59,141
|
54,444
|
50,164
|
46,478
|
43,788
|
30
|
21
|
122,075
|
106,571
|
89,901
|
77,438
|
68,697
|
62,485
|
56,891
|
52,310
|
48,197
|
44,546
|
41,861
|
31
|
22
|
130,601
|
111,121
|
91,204
|
76,223
|
66,335
|
59,622
|
54,336
|
50,062
|
46,109
|
42,426
|
39,702
|
32
|
23
|
142,127
|
117,993
|
93,934
|
76,355
|
65,136
|
57,814
|
52,317
|
48,043
|
43,644
|
39,892
|
37,457
|
33
|
24
|
154,910
|
125,251
|
97,399
|
77,121
|
64,633
|
56,590
|
50,506
|
46,045
|
41,461
|
37,785
|
35,231
|
34
|
|
|
|
|
|
|
|
|
|
|
|
|
|
25
|
163,212
|
128,645
|
98,099
|
76,195
|
62,880
|
54,342
|
47,993
|
43,414
|
38,972
|
35,648
|
33,032
|
35
|
26
|
166,400
|
129,144
|
97,056
|
74,590
|
60,692
|
52,112
|
45,639
|
40,836
|
36,642
|
33,549
|
30,898
|
36
|
27
|
167,562
|
128,314
|
95,848
|
72,762
|
58,737
|
50,090
|
43,586
|
38,589
|
34,651
|
31,462
|
28,852
|
37
|
28
|
167,003
|
125,687
|
92,185
|
69,902
|
56,162
|
47,546
|
41,174
|
36,277
|
32,505
|
29,352
|
26,878
|
38
|
29
|
162,759
|
121,145
|
88,136
|
66,390
|
53,147
|
44,717
|
38,454
|
34,018
|
30,350
|
27,283
|
24,975
|
39
|
|
|
|
|
|
|
|
|
|
|
|
|
|
30
|
155,332
|
114,545
|
83,169
|
62,763
|
50,065
|
41,930
|
35,913
|
31,882
|
28,258
|
25,364
|
23,229
|
40
|
31
|
148,023
|
109,168
|
79,283
|
59,505
|
47,414
|
39,317
|
33,618
|
29,766
|
26,273
|
23,594
|
21,579
|
41
|
32
|
142,891
|
103,941
|
75,063
|
56,109
|
44,393
|
36,642
|
31,374
|
27,556
|
24,220
|
21,822
|
19,908
|
42
|
33
|
133,448
|
96,446
|
69,709
|
52,346
|
41,386
|
34,152
|
29,194
|
25,415
|
22,283
|
20,134
|
18,331
|
43
|
34
|
123,051
|
88,838
|
64,526
|
48,366
|
38,388
|
31,491
|
26,972
|
23,405
|
20,511
|
18,554
|
16,890
|
44
|
|
|
|
|
|
|
|
|
|
|
|
|
|
35
|
112,076
|
81,059
|
59,140
|
44,244
|
35,184
|
28,895
|
24,741
|
21,598
|
18,925
|
17,090
|
15,534
|
45
|
36
|
101,293
|
72,975
|
53,483
|
40,329
|
32,190
|
26,517
|
22,558
|
19,721
|
17,393
|
15,689
|
14,223
|
46
|
37
|
93,215
|
66,650
|
48,467
|
36,724
|
29,220
|
24,180
|
20,404
|
17,834
|
15,864
|
14,342
|
12,978
|
47
|
38
|
84,602
|
60,047
|
43,575
|
32,999
|
26,296
|
21,927
|
18,471
|
16,125
|
14,438
|
13,080
|
11,829
|
48
|
39
|
76,505
|
54,285
|
39,271
|
29,888
|
23,792
|
19,897
|
16,883
|
14,659
|
13,124
|
11,901
|
10,771
|
49
|
|
|
|
|
|
|
|
|
|
|
|
|
|
40
|
71,052
|
49,853
|
36,240
|
27,509
|
22,005
|
18,389
|
15,556
|
13,380
|
11,944
|
10,825
|
9,798
|
50
|
41
|
66,458
|
46,613
|
33,785
|
25,548
|
20,553
|
17,088
|
14,399
|
12,315
|
10,928
|
9,868
|
8,917
|
51
|
42
|
62,343
|
43,691
|
31,285
|
23,626
|
18,979
|
15,831
|
13,286
|
11,347
|
9,998
|
8,980
|
8,095
|
52
|
43
|
58,357
|
40,528
|
28,972
|
21,827
|
17,436
|
14,552
|
12,223
|
10,406
|
9,117
|
8,164
|
7,317
|
53
|
44
|
54,643
|
37,699
|
27,040
|
20,230
|
16,059
|
13,328
|
11,219
|
9,534
|
8,319
|
7,445
|
6,635
|
54
|
|
|
|
|
|
|
|
|
|
|
|
|
|
45
|
49,923
|
34,347
|
24,554
|
18,248
|
14,495
|
12,024
|
10,126
|
8,637
|
7,530
|
6,747
|
5,986
|
55
|
46
|
45,431
|
30,935
|
22,057
|
16,249
|
12,874
|
10,687
|
9,022
|
7,740
|
6,760
|
6,060
|
5,379
|
56
|
47
|
40,732
|
27,488
|
19,536
|
14,453
|
11,348
|
9,430
|
7,957
|
6,863
|
6,024
|
5,401
|
4,820
|
57
|
48
|
36,308
|
24,441
|
17,271
|
12,756
|
9,961
|
8,302
|
7,001
|
6,079
|
5,365
|
4,819
|
4,318
|
58
|
49
|
33,071
|
22,044
|
15,495
|
11,383
|
8,858
|
7,377
|
6,231
|
5,445
|
4,829
|
4,335
|
3,875
|
59
|
|
|
|
|
|
|
|
|
|
|
|
|
|
50
|
30,248
|
20,287
|
14,159
|
10,334
|
8,003
|
6,642
|
5,620
|
4,929
|
4,380
|
3,925
|
3,484
|
60
|
51
|
28,142
|
18,815
|
13,055
|
9,517
|
7,346
|
6,064
|
5,136
|
4,508
|
4,000
|
3,569
|
3,144
|
61
|
52
|
26,336
|
17,273
|
11,953
|
8,760
|
6,802
|
5,604
|
4,738
|
4,115
|
3,631
|
3,231
|
2,838
|
62
|
53
|
24,383
|
15,729
|
10,884
|
8,001
|
6,266
|
5,167
|
4,365
|
3,752
|
3,291
|
2,921
|
2,560
|
63
|
54
|
21,877
|
13,957
|
9,758
|
7,221
|
5,680
|
4,684
|
3,960
|
3,392
|
2,957
|
2,623
|
2,298
|
64
|
|
|
|
|
|
|
|
|
|
|
|
|
|
55
|
19,412
|
12,400
|
8,783
|
6,534
|
5,136
|
4,212
|
3,563
|
3,037
|
2,633
|
2,338
|
2,054
|
65
|
56
|
17,617
|
11,262
|
7,942
|
5,904
|
4,601
|
3,735
|
3,166
|
2,694
|
2,336
|
2,072
|
1,830
|
66
|
57
|
16,035
|
10,361
|
7,178
|
5,309
|
4,109
|
3,300
|
2,798
|
2,385
|
2,072
|
1,834
|
1,626
|
67
|
58
|
14,582
|
9,431
|
6,429
|
4,743
|
3,667
|
2,925
|
2,474
|
2,108
|
1,838
|
1,625
|
1,445
|
68
|
59
|
13,234
|
8,552
|
5,783
|
4,243
|
3,272
|
2,601
|
2,191
|
1,862
|
1,630
|
1,443
|
1,287
|
69
|
|
|
|
|
|
|
|
|
|
|
|
|
|
60
|
12,264
|
7,972
|
5,421
|
3,961
|
3,048
|
2,433
|
2,040
|
1,726
|
1,502
|
1,309
|
1,147
|
70
|
61
|
10,818
|
6,982
|
4,770
|
3,460
|
2,674
|
2,150
|
1,794
|
1,517
|
1,324
|
1,161
|
1,020
|
71
|
62
|
9,517
|
6,013
|
4,112
|
2,975
|
2,313
|
1,874
|
1,558
|
1,321
|
1,157
|
1,023
|
901
|
72
|
63
|
8,377
|
5,099
|
3,500
|
2,532
|
1,974
|
1,605
|
1,331
|
1,135
|
997
|
889
|
786
|
73
|
64
|
7,349
|
4,266
|
2,946
|
2,130
|
1,659
|
1,350
|
1,117
|
959
|
846
|
762
|
676
|
74
|
Notes:
1. Select age denotes age last birthday at entitlement to disability benefits. Duration measured in years since selection. Attained age calculated as sum of select age and duration. Results do not include auxiliary beneficiaries payable under the DI program.
2. The value l[x] at duration 0 represents the assumed number of lives originally entitled to disability benefits at select age [x]; the value l[x]+t at duration
t > 0 represents the number of lives remaining from the original l[x] who have attained age [x]+t. Lives are decremented using probabilities from table A.1A.
3. Select-and-ultimate table is read across the row for 0-10 years since selection, and down the last (ultimate) column for 10 or more years since selection.
Table A.2B.Female HIV Disabled Beneficiaries
Survival Table
(1992-96 Social Security DI and SSI disability experience)
Select age
|
Duration of disability
|
Attained age
|
0
|
1
|
2
|
3
|
4
|
5
|
6
|
7
|
8
|
9
|
10 or more
|
18
|
100,000
|
91,725
|
83,434
|
73,606
|
66,377
|
62,023
|
57,963
|
55,343
|
53,406
|
52,424
|
51,049
|
28
|
19
|
100,026
|
91,099
|
81,522
|
71,897
|
65,229
|
60,880
|
56,820
|
53,845
|
51,868
|
50,443
|
48,661
|
29
|
|
|
|
|
|
|
|
|
|
|
|
|
|
20
|
101,502
|
91,525
|
80,672
|
71,149
|
64,178
|
59,427
|
55,398
|
52,134
|
50,100
|
48,305
|
46,208
|
30
|
21
|
104,198
|
92,597
|
80,435
|
70,374
|
63,089
|
57,802
|
53,509
|
50,025
|
47,887
|
45,889
|
43,652
|
31
|
22
|
106,322
|
93,243
|
80,155
|
69,517
|
61,933
|
56,136
|
51,477
|
47,841
|
45,537
|
43,367
|
41,063
|
32
|
23
|
106,319
|
92,862
|
79,072
|
67,918
|
60,045
|
54,156
|
49,360
|
45,605
|
43,104
|
40,835
|
38,562
|
33
|
24
|
105,153
|
91,661
|
77,202
|
65,669
|
57,667
|
51,866
|
47,063
|
43,246
|
40,579
|
38,314
|
36,159
|
34
|
|
|
|
|
|
|
|
|
|
|
|
|
|
25
|
103,387
|
89,723
|
75,172
|
63,422
|
55,368
|
49,663
|
44,846
|
41,065
|
38,311
|
35,838
|
33,773
|
35
|
26
|
100,131
|
86,404
|
72,087
|
60,482
|
52,421
|
46,796
|
42,005
|
38,425
|
35,769
|
33,440
|
31,414
|
36
|
27
|
96,418
|
82,414
|
68,362
|
57,120
|
49,297
|
43,717
|
38,988
|
35,734
|
33,235
|
31,056
|
29,186
|
37
|
28
|
91,658
|
77,734
|
64,417
|
53,922
|
46,339
|
40,820
|
36,231
|
33,162
|
30,840
|
28,833
|
27,127
|
38
|
29
|
87,770
|
74,359
|
61,300
|
51,255
|
44,051
|
38,574
|
34,143
|
31,121
|
28,910
|
27,019
|
25,312
|
39
|
|
|
|
|
|
|
|
|
|
|
|
|
|
30
|
85,047
|
71,873
|
58,796
|
49,153
|
42,131
|
36,678
|
32,517
|
29,495
|
27,387
|
25,581
|
23,721
|
40
|
31
|
81,215
|
68,383
|
55,764
|
46,629
|
40,083
|
34,871
|
31,006
|
27,977
|
25,970
|
24,224
|
22,279
|
41
|
32
|
77,563
|
64,768
|
52,454
|
43,844
|
37,766
|
32,947
|
29,354
|
26,447
|
24,559
|
22,839
|
20,965
|
42
|
33
|
73,279
|
60,895
|
49,240
|
41,065
|
35,382
|
31,035
|
27,677
|
24,971
|
23,231
|
21,501
|
19,709
|
43
|
34
|
69,017
|
57,384
|
46,443
|
38,477
|
33,041
|
29,094
|
25,961
|
23,486
|
21,842
|
20,138
|
18,463
|
44
|
|
|
|
|
|
|
|
|
|
|
|
|
|
35
|
64,928
|
54,006
|
43,777
|
36,163
|
30,874
|
27,164
|
24,213
|
22,018
|
20,416
|
18,765
|
17,245
|
45
|
36
|
61,437
|
50,781
|
41,122
|
34,077
|
29,044
|
25,355
|
22,539
|
20,551
|
18,907
|
17,395
|
16,003
|
46
|
37
|
56,968
|
46,922
|
37,950
|
31,580
|
26,799
|
23,244
|
20,634
|
18,832
|
17,306
|
16,002
|
14,728
|
47
|
38
|
51,468
|
42,424
|
34,219
|
28,517
|
24,210
|
20,993
|
18,663
|
17,014
|
15,713
|
14,540
|
13,447
|
48
|
39
|
46,392
|
38,239
|
30,831
|
25,689
|
21,822
|
18,966
|
16,969
|
15,447
|
14,297
|
13,171
|
12,234
|
49
|
|
|
|
|
|
|
|
|
|
|
|
|
|
40
|
41,724
|
34,344
|
27,856
|
23,172
|
19,733
|
17,266
|
15,549
|
14,160
|
13,087
|
12,005
|
11,179
|
50
|
41
|
38,905
|
31,674
|
25,737
|
21,336
|
18,186
|
16,002
|
14,447
|
13,204
|
12,124
|
11,093
|
10,312
|
51
|
42
|
37,449
|
30,242
|
24,285
|
20,021
|
16,995
|
15,009
|
13,559
|
12,364
|
11,275
|
10,332
|
9,559
|
52
|
43
|
35,608
|
28,647
|
22,775
|
18,704
|
15,825
|
14,006
|
12,703
|
11,569
|
10,526
|
9,679
|
8,909
|
53
|
44
|
33,636
|
26,762
|
21,299
|
17,471
|
14,729
|
13,054
|
11,882
|
10,810
|
9,830
|
9,041
|
8,299
|
54
|
|
|
|
|
|
|
|
|
|
|
|
|
|
45
|
31,547
|
25,073
|
20,096
|
16,440
|
13,821
|
12,233
|
11,164
|
10,110
|
9,203
|
8,438
|
7,734
|
55
|
46
|
29,555
|
23,479
|
18,862
|
15,425
|
12,962
|
11,457
|
10,439
|
9,448
|
8,620
|
7,866
|
7,196
|
56
|
47
|
27,061
|
21,579
|
17,406
|
14,273
|
12,036
|
10,604
|
9,619
|
8,771
|
8,035
|
7,306
|
6,681
|
57
|
48
|
24,588
|
19,714
|
15,919
|
13,148
|
11,155
|
9,786
|
8,835
|
8,099
|
7,460
|
6,773
|
6,202
|
58
|
49
|
22,538
|
18,139
|
14,655
|
12,172
|
10,407
|
9,121
|
8,212
|
7,528
|
6,958
|
6,313
|
5,779
|
59
|
|
|
|
|
|
|
|
|
|
|
|
|
|
50
|
20,828
|
16,714
|
13,502
|
11,263
|
9,704
|
8,505
|
7,664
|
7,037
|
6,522
|
5,915
|
5,407
|
60
|
51
|
19,689
|
15,611
|
12,597
|
10,535
|
9,132
|
7,998
|
7,226
|
6,653
|
6,162
|
5,581
|
5,086
|
61
|
52
|
18,967
|
14,742
|
11,876
|
9,946
|
8,656
|
7,585
|
6,869
|
6,287
|
5,801
|
5,246
|
4,764
|
62
|
53
|
18,125
|
13,812
|
11,112
|
9,314
|
8,113
|
7,149
|
6,501
|
5,902
|
5,419
|
4,902
|
4,451
|
63
|
54
|
17,151
|
12,860
|
10,331
|
8,657
|
7,547
|
6,712
|
6,061
|
5,471
|
5,007
|
4,540
|
4,132
|
64
|
|
|
|
|
|
|
|
|
|
|
|
|
|
55
|
15,781
|
11,753
|
9,437
|
7,907
|
6,905
|
6,209
|
5,581
|
5,035
|
4,602
|
4,188
|
3,824
|
65
|
56
|
14,218
|
10,660
|
8,546
|
7,164
|
6,267
|
5,685
|
5,104
|
4,621
|
4,222
|
3,860
|
3,540
|
66
|
57
|
12,717
|
9,643
|
7,704
|
6,476
|
5,675
|
5,170
|
4,639
|
4,222
|
3,861
|
3,544
|
3,267
|
67
|
58
|
11,290
|
8,661
|
6,924
|
5,833
|
5,118
|
4,665
|
4,186
|
3,832
|
3,512
|
3,235
|
2,998
|
68
|
59
|
10,014
|
7,745
|
6,209
|
5,233
|
4,590
|
4,173
|
3,757
|
3,460
|
3,181
|
2,939
|
2,736
|
69
|
|
|
|
|
|
|
|
|
|
|
|
|
|
60
|
8,892
|
6,898
|
5,555
|
4,680
|
4,099
|
3,714
|
3,372
|
3,124
|
2,885
|
2,676
|
2,487
|
70
|
61
|
8,032
|
6,184
|
4,995
|
4,212
|
3,681
|
3,324
|
3,053
|
2,840
|
2,639
|
2,442
|
2,253
|
71
|
62
|
7,573
|
5,742
|
4,640
|
3,919
|
3,411
|
3,073
|
2,842
|
2,627
|
2,410
|
2,215
|
2,027
|
72
|
63
|
7,306
|
5,414
|
4,355
|
3,687
|
3,193
|
2,873
|
2,644
|
2,429
|
2,198
|
1,987
|
1,807
|
73
|
64
|
7,142
|
5,152
|
4,114
|
3,488
|
3,006
|
2,700
|
2,474
|
2,258
|
2,017
|
1,794
|
1,604
|
74
|
Notes:
1. Select age denotes age last birthday at entitlement to disability benefits. Duration measured in years since selection. Attained age calculated as sum of select age and duration. Results do not include auxiliary beneficiaries payable under the DI program.
2. The value l[x] at duration 0 represents the assumed number of lives originally entitled to disability benefits at select age [x]; the value l[x]+t at duration
t > 0 represents the number of lives remaining from the original l[x] who have attained age [x]+t. Lives are decremented using probabilities from table A.1B.
3. Select-and-ultimate table is read across the row for 0-10 years since selection, and down the last (ultimate) column for 10 or more years since selection.
Table A.3A.Male HIV Disabled Beneficiaries
Expected Future Lifetime
(1992-96 Social Security DI and SSI disability experience)
Select age
|
Duration of disability
|
Attained age
|
0
|
1
|
2
|
3
|
4
|
5
|
6
|
7
|
8
|
9
|
10 or more
|
18
|
13.61
|
13.70
|
13.97
|
14.28
|
14.18
|
13.98
|
14.28
|
14.33
|
14.54
|
14.52
|
14.41
|
28
|
19
|
12.27
|
12.42
|
12.91
|
13.36
|
13.47
|
13.41
|
13.70
|
13.79
|
13.93
|
13.95
|
13.78
|
29
|
|
|
|
|
|
|
|
|
|
|
|
|
|
20
|
11.14
|
11.38
|
12.06
|
12.65
|
12.94
|
12.98
|
13.25
|
13.35
|
13.44
|
13.47
|
13.27
|
30
|
21
|
10.05
|
10.44
|
11.29
|
12.02
|
12.49
|
12.68
|
12.88
|
12.96
|
13.02
|
13.05
|
12.86
|
31
|
22
|
9.03
|
9.53
|
10.50
|
11.47
|
12.10
|
12.41
|
12.57
|
12.60
|
12.64
|
12.69
|
12.53
|
32
|
23
|
8.05
|
8.59
|
9.66
|
10.77
|
11.54
|
11.94
|
12.14
|
12.18
|
12.36
|
12.47
|
12.25
|
33
|
24
|
7.19
|
7.78
|
8.86
|
10.06
|
10.90
|
11.38
|
11.69
|
11.78
|
12.03
|
12.15
|
11.99
|
34
|
|
|
|
|
|
|
|
|
|
|
|
|
|
25
|
6.57
|
7.20
|
8.29
|
9.53
|
10.44
|
11.01
|
11.39
|
11.54
|
11.80
|
11.86
|
11.76
|
35
|
26
|
6.16
|
6.79
|
7.88
|
9.10
|
10.07
|
10.64
|
11.08
|
11.32
|
11.56
|
11.58
|
11.53
|
36
|
27
|
5.84
|
6.47
|
7.50
|
8.72
|
9.68
|
10.27
|
10.72
|
11.05
|
11.25
|
11.34
|
11.32
|
37
|
28
|
5.55
|
6.21
|
7.28
|
8.44
|
9.38
|
9.99
|
10.46
|
10.81
|
11.00
|
11.13
|
11.11
|
38
|
29
|
5.35
|
6.01
|
7.08
|
8.23
|
9.16
|
9.79
|
10.30
|
10.58
|
10.80
|
10.95
|
10.92
|
39
|
|
|
|
|
|
|
|
|
|
|
|
|
|
30
|
5.23
|
5.91
|
6.95
|
8.05
|
8.96
|
9.60
|
10.13
|
10.34
|
10.61
|
10.76
|
10.70
|
40
|
31
|
5.13
|
5.77
|
6.76
|
7.84
|
8.72
|
9.41
|
9.92
|
10.14
|
10.42
|
10.54
|
10.48
|
41
|
32
|
4.95
|
5.62
|
6.60
|
7.65
|
8.54
|
9.24
|
9.71
|
9.99
|
10.29
|
10.37
|
10.32
|
42
|
33
|
4.90
|
5.58
|
6.53
|
7.53
|
8.39
|
9.07
|
9.52
|
9.86
|
10.18
|
10.21
|
10.16
|
43
|
34
|
4.87
|
5.56
|
6.46
|
7.46
|
8.27
|
8.97
|
9.38
|
9.74
|
10.04
|
10.05
|
9.99
|
44
|
|
|
|
|
|
|
|
|
|
|
|
|
|
35
|
4.88
|
5.56
|
6.43
|
7.43
|
8.22
|
8.90
|
9.31
|
9.59
|
9.87
|
9.88
|
9.82
|
45
|
36
|
4.90
|
5.61
|
6.47
|
7.41
|
8.16
|
8.80
|
9.26
|
9.52
|
9.72
|
9.73
|
9.68
|
46
|
37
|
4.84
|
5.56
|
6.46
|
7.37
|
8.14
|
8.73
|
9.25
|
9.51
|
9.63
|
9.60
|
9.56
|
47
|
38
|
4.81
|
5.57
|
6.49
|
7.41
|
8.17
|
8.69
|
9.23
|
9.50
|
9.55
|
9.49
|
9.44
|
48
|
39
|
4.81
|
5.57
|
6.51
|
7.39
|
8.16
|
8.66
|
9.11
|
9.42
|
9.46
|
9.38
|
9.31
|
49
|
|
|
|
|
|
|
|
|
|
|
|
|
|
40
|
4.73
|
5.53
|
6.42
|
7.30
|
8.00
|
8.47
|
8.93
|
9.30
|
9.35
|
9.27
|
9.19
|
50
|
41
|
4.66
|
5.43
|
6.30
|
7.17
|
7.79
|
8.26
|
8.71
|
9.10
|
9.19
|
9.13
|
9.05
|
51
|
42
|
4.56
|
5.30
|
6.20
|
7.05
|
7.65
|
8.07
|
8.52
|
8.89
|
9.02
|
8.99
|
8.92
|
52
|
43
|
4.46
|
5.21
|
6.09
|
6.92
|
7.53
|
7.92
|
8.34
|
8.71
|
8.87
|
8.84
|
8.81
|
53
|
44
|
4.37
|
5.12
|
5.93
|
6.76
|
7.39
|
7.80
|
8.18
|
8.53
|
8.70
|
8.67
|
8.66
|
54
|
|
|
|
|
|
|
|
|
|
|
|
|
|
45
|
4.32
|
5.06
|
5.88
|
6.73
|
7.35
|
7.75
|
8.11
|
8.43
|
8.59
|
8.53
|
8.55
|
55
|
46
|
4.25
|
5.01
|
5.83
|
6.74
|
7.37
|
7.78
|
8.12
|
8.38
|
8.52
|
8.45
|
8.46
|
56
|
47
|
4.21
|
5.00
|
5.84
|
6.72
|
7.42
|
7.82
|
8.18
|
8.40
|
8.50
|
8.43
|
8.38
|
57
|
48
|
4.19
|
4.98
|
5.84
|
6.73
|
7.48
|
7.88
|
8.25
|
8.42
|
8.48
|
8.38
|
8.30
|
58
|
49
|
4.12
|
4.93
|
5.80
|
6.71
|
7.49
|
7.89
|
8.25
|
8.37
|
8.37
|
8.27
|
8.19
|
59
|
|
|
|
|
|
|
|
|
|
|
|
|
|
50
|
4.07
|
4.83
|
5.70
|
6.62
|
7.41
|
7.82
|
8.16
|
8.23
|
8.20
|
8.09
|
8.05
|
60
|
51
|
3.99
|
4.73
|
5.59
|
6.48
|
7.25
|
7.68
|
7.97
|
8.02
|
7.97
|
7.87
|
7.87
|
61
|
52
|
3.89
|
4.67
|
5.52
|
6.35
|
7.04
|
7.44
|
7.71
|
7.80
|
7.77
|
7.67
|
7.66
|
62
|
53
|
3.81
|
4.63
|
5.47
|
6.26
|
6.86
|
7.21
|
7.44
|
7.57
|
7.56
|
7.46
|
7.44
|
63
|
54
|
3.79
|
4.66
|
5.45
|
6.19
|
6.73
|
7.05
|
7.25
|
7.38
|
7.40
|
7.27
|
7.23
|
64
|
|
|
|
|
|
|
|
|
|
|
|
|
|
55
|
3.80
|
4.67
|
5.39
|
6.07
|
6.59
|
6.92
|
7.09
|
7.23
|
7.26
|
7.12
|
7.03
|
65
|
56
|
3.74
|
4.57
|
5.28
|
5.92
|
6.46
|
6.84
|
6.98
|
7.12
|
7.13
|
6.98
|
6.83
|
66
|
57
|
3.68
|
4.42
|
5.15
|
5.79
|
6.33
|
6.77
|
6.89
|
7.00
|
6.98
|
6.82
|
6.63
|
67
|
58
|
3.60
|
4.29
|
5.06
|
5.69
|
6.21
|
6.66
|
6.78
|
6.87
|
6.80
|
6.63
|
6.39
|
68
|
59
|
3.53
|
4.19
|
4.95
|
5.57
|
6.08
|
6.51
|
6.64
|
6.72
|
6.61
|
6.40
|
6.12
|
69
|
|
|
|
|
|
|
|
|
|
|
|
|
|
60
|
3.49
|
4.10
|
4.79
|
5.37
|
5.83
|
6.17
|
6.27
|
6.32
|
6.18
|
6.02
|
5.80
|
70
|
61
|
3.45
|
4.07
|
4.73
|
5.33
|
5.75
|
6.02
|
6.12
|
6.15
|
5.97
|
5.74
|
5.46
|
71
|
62
|
3.38
|
4.06
|
4.70
|
5.31
|
5.69
|
5.90
|
6.00
|
5.98
|
5.76
|
5.45
|
5.12
|
72
|
63
|
3.27
|
4.05
|
4.68
|
5.28
|
5.63
|
5.80
|
5.90
|
5.83
|
5.57
|
5.18
|
4.79
|
73
|
64
|
3.14
|
4.05
|
4.64
|
5.23
|
5.57
|
5.73
|
5.82
|
5.70
|
5.39
|
4.93
|
4.49
|
74
|
Notes:
1. Select age denotes age last birthday at entitlement to disability benefits. Duration measured in years since selection. Attained age calculated as sum of select age and duration. Results do not include auxiliary beneficiaries payable under the DI program.
2. The value e[x]+t at duration t represents the average number of years of life remaining for those originally entitled to disability benefits at select age [x] who have attained age [x]+t. Values are based on survivorship experience from table A.2A.
3. Select-and-ultimate table is read across the row for 0-10 years since selection, and down the last (ultimate) column for 10 or more years since selection.
Table A.3B.Female HIV Disabled Beneficiaries
Expected Future Lifetime
(1992-96 Social Security DI and SSI disability experience)
Select age
|
Duration of disability
|
Attained age
|
0
|
1
|
2
|
3
|
4
|
5
|
6
|
7
|
8
|
9
|
10 or more
|
18
|
14.17
|
14.41
|
14.79
|
15.70
|
16.35
|
16.47
|
16.58
|
16.35
|
15.92
|
15.21
|
14.61
|
28
|
19
|
13.53
|
13.81
|
14.37
|
15.23
|
15.74
|
15.83
|
15.92
|
15.77
|
15.36
|
14.78
|
14.30
|
29
|
|
|
|
|
|
|
|
|
|
|
|
|
|
20
|
12.76
|
13.10
|
13.79
|
14.57
|
15.10
|
15.26
|
15.34
|
15.27
|
14.87
|
14.40
|
14.03
|
30
|
21
|
11.89
|
12.32
|
13.10
|
13.91
|
14.45
|
14.73
|
14.87
|
14.87
|
14.51
|
14.12
|
13.82
|
31
|
22
|
11.14
|
11.63
|
12.44
|
13.27
|
13.84
|
14.21
|
14.45
|
14.51
|
14.22
|
13.91
|
13.66
|
32
|
23
|
10.60
|
11.06
|
11.90
|
12.77
|
13.38
|
13.78
|
14.07
|
14.19
|
13.99
|
13.74
|
13.52
|
33
|
24
|
10.15
|
10.58
|
11.46
|
12.39
|
13.04
|
13.44
|
13.76
|
13.93
|
13.81
|
13.60
|
13.38
|
34
|
|
|
|
|
|
|
|
|
|
|
|
|
|
25
|
9.78
|
10.19
|
11.07
|
12.02
|
12.70
|
13.10
|
13.46
|
13.65
|
13.59
|
13.50
|
13.29
|
35
|
26
|
9.49
|
9.91
|
10.78
|
11.76
|
12.49
|
12.93
|
13.35
|
13.54
|
13.51
|
13.42
|
13.25
|
36
|
27
|
9.22
|
9.70
|
10.59
|
11.58
|
12.33
|
12.84
|
13.34
|
13.51
|
13.49
|
13.40
|
13.23
|
37
|
28
|
9.05
|
9.58
|
10.46
|
11.40
|
12.18
|
12.76
|
13.31
|
13.50
|
13.48
|
13.38
|
13.19
|
38
|
29
|
8.87
|
9.38
|
10.28
|
11.19
|
11.94
|
12.57
|
13.13
|
13.36
|
13.34
|
13.24
|
13.10
|
39
|
|
|
|
|
|
|
|
|
|
|
|
|
|
30
|
8.64
|
9.14
|
10.06
|
10.93
|
11.67
|
12.33
|
12.85
|
13.11
|
13.08
|
12.97
|
12.95
|
40
|
31
|
8.51
|
9.01
|
9.93
|
10.78
|
11.46
|
12.10
|
12.54
|
12.85
|
12.80
|
12.69
|
12.75
|
41
|
32
|
8.34
|
8.89
|
9.86
|
10.69
|
11.33
|
11.92
|
12.32
|
12.61
|
12.55
|
12.45
|
12.52
|
42
|
33
|
8.24
|
8.81
|
9.78
|
10.63
|
11.25
|
11.76
|
12.12
|
12.38
|
12.27
|
12.22
|
12.29
|
43
|
34
|
8.15
|
8.70
|
9.64
|
10.53
|
11.18
|
11.63
|
11.97
|
12.18
|
12.06
|
12.04
|
12.08
|
44
|
|
|
|
|
|
|
|
|
|
|
|
|
|
35
|
8.07
|
8.60
|
9.49
|
10.38
|
11.07
|
11.52
|
11.86
|
11.99
|
11.89
|
11.90
|
11.90
|
45
|
36
|
7.93
|
8.49
|
9.36
|
10.20
|
10.88
|
11.38
|
11.74
|
11.83
|
11.82
|
11.80
|
11.78
|
46
|
37
|
7.87
|
8.45
|
9.33
|
10.11
|
10.82
|
11.40
|
11.78
|
11.86
|
11.86
|
11.79
|
11.76
|
47
|
38
|
7.93
|
8.51
|
9.43
|
10.21
|
10.94
|
11.54
|
11.92
|
12.03
|
11.98
|
11.91
|
11.83
|
48
|
39
|
8.00
|
8.60
|
9.54
|
10.35
|
11.10
|
11.69
|
12.01
|
12.15
|
12.08
|
12.07
|
11.96
|
49
|
|
|
|
|
|
|
|
|
|
|
|
|
|
40
|
8.11
|
8.74
|
9.66
|
10.51
|
11.26
|
11.79
|
12.04
|
12.17
|
12.13
|
12.18
|
12.04
|
50
|
41
|
8.03
|
8.74
|
9.65
|
10.53
|
11.27
|
11.74
|
11.95
|
12.03
|
12.06
|
12.13
|
12.01
|
51
|
42
|
7.78
|
8.52
|
9.49
|
10.40
|
11.16
|
11.57
|
11.76
|
11.85
|
11.94
|
11.99
|
11.92
|
52
|
43
|
7.62
|
8.35
|
9.38
|
10.31
|
11.09
|
11.47
|
11.59
|
11.68
|
11.79
|
11.78
|
11.75
|
53
|
44
|
7.49
|
8.28
|
9.28
|
10.21
|
11.01
|
11.36
|
11.43
|
11.52
|
11.62
|
11.59
|
11.58
|
54
|
|
|
|
|
|
|
|
|
|
|
|
|
|
45
|
7.43
|
8.21
|
9.13
|
10.04
|
10.85
|
11.20
|
11.22
|
11.34
|
11.41
|
11.39
|
11.39
|
55
|
46
|
7.36
|
8.14
|
9.00
|
9.90
|
10.69
|
11.02
|
11.05
|
11.16
|
11.18
|
11.20
|
11.20
|
56
|
47
|
7.40
|
8.15
|
8.98
|
9.84
|
10.58
|
10.94
|
11.01
|
11.03
|
10.99
|
11.04
|
11.02
|
57
|
48
|
7.46
|
8.18
|
9.02
|
9.81
|
10.47
|
10.87
|
10.99
|
10.94
|
10.83
|
10.88
|
10.84
|
58
|
49
|
7.49
|
8.19
|
9.02
|
9.75
|
10.32
|
10.71
|
10.84
|
10.78
|
10.62
|
10.66
|
10.59
|
59
|
|
|
|
|
|
|
|
|
|
|
|
|
|
50
|
7.47
|
8.18
|
9.01
|
9.71
|
10.18
|
10.55
|
10.65
|
10.56
|
10.35
|
10.36
|
10.29
|
60
|
51
|
7.33
|
8.11
|
8.93
|
9.58
|
9.98
|
10.32
|
10.37
|
10.22
|
9.99
|
9.98
|
9.91
|
61
|
52
|
7.08
|
7.97
|
8.77
|
9.38
|
9.70
|
10.00
|
9.99
|
9.87
|
9.65
|
9.62
|
9.54
|
62
|
53
|
6.86
|
7.85
|
8.63
|
9.20
|
9.49
|
9.70
|
9.62
|
9.55
|
9.35
|
9.29
|
9.18
|
63
|
54
|
6.67
|
7.73
|
8.50
|
9.04
|
9.30
|
9.39
|
9.35
|
9.30
|
9.12
|
9.01
|
8.85
|
64
|
|
|
|
|
|
|
|
|
|
|
|
|
|
55
|
6.59
|
7.68
|
8.44
|
8.98
|
9.20
|
9.18
|
9.16
|
9.10
|
8.91
|
8.74
|
8.52
|
65
|
56
|
6.60
|
7.64
|
8.41
|
8.93
|
9.14
|
9.03
|
9.00
|
8.89
|
8.68
|
8.45
|
8.16
|
66
|
57
|
6.64
|
7.60
|
8.38
|
8.88
|
9.06
|
8.89
|
8.85
|
8.68
|
8.44
|
8.15
|
7.80
|
67
|
58
|
6.68
|
7.56
|
8.33
|
8.80
|
8.96
|
8.78
|
8.73
|
8.49
|
8.22
|
7.88
|
7.46
|
68
|
59
|
6.71
|
7.52
|
8.26
|
8.71
|
8.86
|
8.70
|
8.60
|
8.30
|
7.98
|
7.60
|
7.13
|
69
|
|
|
|
|
|
|
|
|
|
|
|
|
|
60
|
6.70
|
7.49
|
8.18
|
8.62
|
8.77
|
8.63
|
8.45
|
8.08
|
7.71
|
7.27
|
6.79
|
70
|
61
|
6.60
|
7.43
|
8.07
|
8.48
|
8.63
|
8.51
|
8.22
|
7.80
|
7.35
|
6.90
|
6.44
|
71
|
62
|
6.35
|
7.21
|
7.80
|
8.15
|
8.28
|
8.14
|
7.76
|
7.36
|
6.97
|
6.54
|
6.10
|
72
|
63
|
5.99
|
6.91
|
7.47
|
7.74
|
7.86
|
7.68
|
7.30
|
6.90
|
6.57
|
6.22
|
5.79
|
73
|
64
|
5.62
|
6.60
|
7.13
|
7.32
|
7.42
|
7.20
|
6.81
|
6.42
|
6.13
|
5.82
|
5.46
|
74
|
Notes:
1. Select age denotes age last birthday at entitlement to disability benefits. Duration measured in years since selection. Attained age calculated as sum of select age and duration. Results do not include auxiliary beneficiaries payable under the DI program.
2. The value e[x]+t at duration t represents the average number of years of life remaining for those originally entitled to disability benefits at select age [x] who have attained age [x]+t. Values are based on survivorship experience from table A.2B.
3. Select-and-ultimate table is read across the row for 0-10 years since selection, and down the last (ultimate) column for 10 or more years since selection.
Table A.4.HIV Disabled Beneficiaries
Aggregate Probability of Death and Expected Future Lifetime,
by Select Age
(1992-96 Social Security DI and SSI disability experience)
Select Age
|
Male
|
Female
|
Probability of death
|
Future lifetime
|
Probability of death
|
Future lifetime
|
18
|
0.068322
|
13.51
|
0.075990
|
14.82
|
19
|
0.083109
|
12.63
|
0.086397
|
14.34
|
|
|
|
|
|
20
|
0.094482
|
12.03
|
0.093430
|
13.69
|
21
|
0.111779
|
11.31
|
0.102772
|
12.99
|
22
|
0.130359
|
10.64
|
0.113820
|
12.33
|
23
|
0.150559
|
9.82
|
0.119461
|
11.88
|
24
|
0.170776
|
9.02
|
0.127058
|
11.41
|
|
|
|
|
|
25
|
0.188361
|
8.42
|
0.131007
|
11.11
|
26
|
0.200537
|
7.95
|
0.136783
|
10.81
|
27
|
0.212855
|
7.47
|
0.142660
|
10.59
|
28
|
0.223527
|
7.13
|
0.146474
|
10.40
|
29
|
0.232689
|
6.82
|
0.148653
|
10.22
|
|
|
|
|
|
30
|
0.235709
|
6.68
|
0.151829
|
9.96
|
31
|
0.238340
|
6.49
|
0.154599
|
9.74
|
32
|
0.245431
|
6.28
|
0.157002
|
9.64
|
33
|
0.246176
|
6.21
|
0.157643
|
9.58
|
34
|
0.246689
|
6.14
|
0.159302
|
9.43
|
|
|
|
|
|
35
|
0.245571
|
6.12
|
0.160455
|
9.29
|
36
|
0.244566
|
6.13
|
0.163871
|
9.10
|
37
|
0.248019
|
6.08
|
0.164185
|
9.11
|
38
|
0.250742
|
6.04
|
0.165421
|
9.13
|
39
|
0.251339
|
6.02
|
0.166034
|
9.18
|
|
|
|
|
|
40
|
0.253506
|
5.94
|
0.163809
|
9.34
|
41
|
0.255266
|
5.81
|
0.167282
|
9.26
|
42
|
0.258822
|
5.68
|
0.172959
|
9.05
|
43
|
0.263482
|
5.54
|
0.175812
|
8.93
|
44
|
0.267847
|
5.39
|
0.178870
|
8.80
|
|
|
|
|
|
45
|
0.270347
|
5.33
|
0.176855
|
8.76
|
46
|
0.273812
|
5.30
|
0.179132
|
8.55
|
47
|
0.277050
|
5.28
|
0.175619
|
8.62
|
48
|
0.279562
|
5.27
|
0.170919
|
8.67
|
49
|
0.280948
|
5.27
|
0.166517
|
8.69
|
|
|
|
|
|
50
|
0.284454
|
5.14
|
0.167123
|
8.64
|
51
|
0.286239
|
5.05
|
0.163866
|
8.59
|
52
|
0.291586
|
4.93
|
0.170502
|
8.31
|
53
|
0.294976
|
4.83
|
0.176643
|
8.09
|
54
|
0.294866
|
4.83
|
0.181420
|
7.93
|
|
|
|
|
|
55
|
0.287317
|
4.86
|
0.183020
|
7.81
|
56
|
0.289290
|
4.76
|
0.168520
|
7.90
|
57
|
0.296924
|
4.55
|
0.170139
|
7.79
|
58
|
0.294435
|
4.54
|
0.151816
|
7.86
|
59
|
0.297433
|
4.42
|
0.167058
|
7.61
|
|
|
|
|
|
60
|
0.295327
|
4.33
|
0.161554
|
7.62
|
61
|
0.294897
|
4.28
|
0.160182
|
7.54
|
62
|
0.299634
|
4.24
|
0.162550
|
7.19
|
63
|
0.310498
|
4.09
|
0.170110
|
6.85
|
64
|
0.327786
|
4.02
|
0.198767
|
5.97
|
Notes:
1. Select age denotes age last birthday at entitlement to disability benefits.
2. Probability of death at select age [x] represents the average probability of dying within one year for those originally entitled to disability benefits at that particular age. Values are exposure-weighted averages of the graduated and blended probabilities of death across all durations from tables A.1A and A.1B.
3. Future lifetime at select age [x] represents the aggregate life expectancy in years for those originally entitled to disability benefits at that particular age. Values are exposure-weighted averages of expected future lifetime across all durations from tables A.3A and A.3B.
Table A.5.HIV Disabled Beneficiaries
Aggregate Probability of Death and Expected Future Lifetime,
by Attained Age
(1992-96 Social Security DI and SSI disability experience)
Attained Age
|
Male
|
Female
|
Probability of death
|
Future lifetime
|
Probability of death
|
Future lifetime
|
18
|
0.076854
|
13.61
|
0.082751
|
14.17
|
19
|
0.088342
|
12.92
|
0.089688
|
13.87
|
|
|
|
|
|
20
|
0.102948
|
12.17
|
0.103995
|
13.47
|
21
|
0.118910
|
11.28
|
0.113442
|
13.03
|
22
|
0.137140
|
10.44
|
0.118955
|
12.55
|
23
|
0.156280
|
9.66
|
0.122574
|
11.98
|
24
|
0.175531
|
8.96
|
0.127347
|
11.52
|
|
|
|
|
|
25
|
0.193759
|
8.30
|
0.133362
|
11.14
|
26
|
0.207338
|
7.79
|
0.137908
|
10.78
|
27
|
0.218384
|
7.38
|
0.143873
|
10.50
|
28
|
0.227265
|
7.06
|
0.148936
|
10.31
|
29
|
0.235964
|
6.83
|
0.150009
|
10.15
|
|
|
|
|
|
30
|
0.240200
|
6.68
|
0.152275
|
10.00
|
31
|
0.241238
|
6.58
|
0.155346
|
9.87
|
32
|
0.244288
|
6.44
|
0.158269
|
9.74
|
33
|
0.247465
|
6.34
|
0.160528
|
9.68
|
34
|
0.247380
|
6.29
|
0.159761
|
9.64
|
|
|
|
|
|
35
|
0.246007
|
6.25
|
0.158937
|
9.57
|
36
|
0.245855
|
6.24
|
0.160248
|
9.47
|
37
|
0.245601
|
6.23
|
0.160870
|
9.41
|
38
|
0.246579
|
6.24
|
0.159851
|
9.40
|
39
|
0.245030
|
6.25
|
0.159023
|
9.41
|
|
|
|
|
|
40
|
0.246812
|
6.25
|
0.158704
|
9.50
|
41
|
0.243427
|
6.26
|
0.159199
|
9.55
|
42
|
0.243340
|
6.21
|
0.160162
|
9.54
|
43
|
0.245951
|
6.14
|
0.161783
|
9.52
|
44
|
0.245994
|
6.06
|
0.165303
|
9.45
|
|
|
|
|
|
45
|
0.246503
|
5.98
|
0.164593
|
9.42
|
46
|
0.249341
|
5.91
|
0.163771
|
9.35
|
47
|
0.253125
|
5.83
|
0.162498
|
9.34
|
48
|
0.256148
|
5.77
|
0.160126
|
9.35
|
49
|
0.259396
|
5.71
|
0.156998
|
9.39
|
|
|
|
|
|
50
|
0.260509
|
5.66
|
0.156314
|
9.31
|
51
|
0.263741
|
5.59
|
0.156891
|
9.26
|
52
|
0.270345
|
5.50
|
0.159361
|
9.15
|
53
|
0.271467
|
5.49
|
0.161894
|
9.02
|
54
|
0.272839
|
5.45
|
0.164594
|
8.86
|
|
|
|
|
|
55
|
0.271983
|
5.39
|
0.163274
|
8.79
|
56
|
0.267767
|
5.34
|
0.159890
|
8.72
|
57
|
0.266655
|
5.22
|
0.155705
|
8.66
|
58
|
0.269889
|
5.09
|
0.152092
|
8.60
|
59
|
0.271629
|
5.03
|
0.148951
|
8.52
|
|
|
|
|
|
60
|
0.273924
|
4.92
|
0.146464
|
8.41
|
61
|
0.275834
|
4.83
|
0.147308
|
8.28
|
62
|
0.268898
|
4.92
|
0.138408
|
8.30
|
63
|
0.265248
|
4.97
|
0.138136
|
8.16
|
64
|
0.254916
|
5.10
|
0.126904
|
8.15
|
|
|
|
|
|
65
|
0.205220
|
5.64
|
0.104734
|
8.25
|
66
|
0.176337
|
5.93
|
0.089999
|
8.17
|
67
|
0.151157
|
6.11
|
0.081504
|
7.93
|
68
|
0.134328
|
6.13
|
0.080340
|
7.59
|
69
|
0.121855
|
6.02
|
0.084100
|
7.23
|
|
|
|
|
|
70
|
0.115662
|
5.79
|
0.090176
|
6.85
|
71
|
0.116126
|
5.49
|
0.097299
|
6.48
|
72
|
0.122963
|
5.15
|
0.107303
|
6.11
|
73
|
0.137954
|
4.80
|
0.111507
|
5.79
|
74
|
0.152286
|
4.49
|
0.119864
|
5.46
|
Notes:
1. Attained age calculated as sum of select age and duration.
2. Probability of death at attained age x represents the average probability of dying within one year for those originally entitled to disability benefits who have attained that particular age. Values are exposure-weighted averages of the graduated and blended probabilities of death across all durations from tables A.1A and A.1B.
3. Future lifetime at attained age x represents the aggregate life expectancy in years for those originally entitled to disability benefits who have attained that particular age. Values are exposure-weighted averages of expected future lifetime across all durations from tables A.3A and A.3B.
Table A.6.HIV Disabled Beneficiaries
Aggregate Probability of Death and Expected Future Lifetime,
by Duration
(1992-96 Social Security DI and SSI disability experience)
Duration
|
Male
|
Female
|
Probability of death
|
Future lifetime
|
Probability of death
|
Future lifetime
|
0
|
0.283541
|
4.92
|
0.169336
|
8.42
|
1
|
0.273071
|
5.70
|
0.183222
|
9.05
|
2
|
0.244393
|
6.68
|
0.164897
|
9.97
|
3
|
0.199685
|
7.72
|
0.140544
|
10.85
|
4
|
0.163293
|
8.56
|
0.118649
|
11.55
|
|
|
|
|
|
5
|
0.142987
|
9.19
|
0.103270
|
12.02
|
6
|
0.122155
|
9.71
|
0.087680
|
12.32
|
7
|
0.111233
|
10.06
|
0.072185
|
12.42
|
8
|
0.095347
|
10.35
|
0.071452
|
12.29
|
9
|
0.086784
|
10.50
|
0.071003
|
12.15
|
|
|
|
|
|
10
|
0.074625
|
10.60
|
0.068964
|
12.03
|
11
|
0.075340
|
10.55
|
0.069579
|
12.02
|
12
|
0.076890
|
10.43
|
0.069796
|
11.98
|
13
|
0.077042
|
10.45
|
0.069784
|
12.01
|
14
|
0.077695
|
10.42
|
0.070278
|
12.08
|
|
|
|
|
|
15
|
0.077865
|
10.39
|
0.070932
|
12.15
|
16
|
0.079182
|
10.27
|
0.071142
|
12.14
|
17
|
0.080104
|
10.16
|
0.071624
|
12.05
|
18
|
0.082945
|
9.94
|
0.070367
|
12.09
|
19
|
0.084987
|
9.79
|
0.070967
|
11.93
|
|
|
|
|
|
20
|
0.087629
|
9.60
|
0.071820
|
11.81
|
21
|
0.089931
|
9.43
|
0.073790
|
11.63
|
22
|
0.091907
|
9.28
|
0.075381
|
11.54
|
23
|
0.092693
|
8.99
|
0.079757
|
10.63
|
24
|
0.094067
|
8.86
|
0.074262
|
11.57
|
|
|
|
|
|
25
|
0.096564
|
8.74
|
0.070594
|
11.08
|
26
|
0.100894
|
8.29
|
0.068309
|
10.66
|
27
|
0.101452
|
7.92
|
0.065571
|
9.73
|
28
|
0.104630
|
7.60
|
0.068990
|
9.38
|
29
|
0.106346
|
7.60
|
0.068502
|
9.20
|
|
|
|
|
|
30
|
0.102299
|
7.98
|
0.071738
|
9.18
|
Notes:
1. Duration measured in years since selection.
2. Probability of death at duration t represents the average probability of dying during the (t+1) year of entitlement to disability benefits. Values are exposure-weighted averages of the graduated and blended probabilities of death across all ages from tables A.1A and A.1B.
3. Future lifetime at duration t represents the aggregate life expectancy in years for those originally entitled to disability benefits who have not died after t years. Values are exposure-weighted averages of expected future lifetime across all ages from tables A.3A and A.3B.
Table A.7A.Male HIV Disabled Beneficiaries (DI Program Only)
Probability of Death
(1992-96 Social Security DI disability experience)
Select age
|
Duration of disability
|
Attained age
|
0
|
1
|
2
|
3
|
4
|
5
|
6
|
7
|
8
|
9
|
10 or more
|
18
|
0.083143
|
0.125620
|
0.095404
|
0.063989
|
0.036931
|
0.026101
|
0.041330
|
0.032434
|
0.039610
|
0.048491
|
0.051228
|
28
|
19
|
0.102308
|
0.147033
|
0.116319
|
0.082042
|
0.055439
|
0.042194
|
0.052732
|
0.047554
|
0.051541
|
0.055394
|
0.054988
|
29
|
|
|
|
|
|
|
|
|
|
|
|
|
|
20
|
0.121279
|
0.167906
|
0.136524
|
0.100459
|
0.073264
|
0.058507
|
0.063783
|
0.063061
|
0.063324
|
0.062028
|
0.058626
|
30
|
21
|
0.143307
|
0.187474
|
0.156936
|
0.121048
|
0.089899
|
0.074795
|
0.074592
|
0.079262
|
0.074481
|
0.068734
|
0.061690
|
31
|
22
|
0.166415
|
0.208700
|
0.184031
|
0.141772
|
0.105169
|
0.090007
|
0.084637
|
0.095696
|
0.084917
|
0.075574
|
0.062392
|
32
|
23
|
0.192268
|
0.231526
|
0.209878
|
0.163155
|
0.119266
|
0.104507
|
0.094230
|
0.109974
|
0.092658
|
0.081477
|
0.061113
|
33
|
24
|
0.220468
|
0.249497
|
0.230135
|
0.181175
|
0.135239
|
0.118904
|
0.102043
|
0.120119
|
0.098760
|
0.086444
|
0.060112
|
34
|
|
|
|
|
|
|
|
|
|
|
|
|
|
25
|
0.243398
|
0.265313
|
0.241581
|
0.197286
|
0.148290
|
0.128593
|
0.106302
|
0.124261
|
0.104328
|
0.091039
|
0.059373
|
35
|
26
|
0.257986
|
0.277530
|
0.251817
|
0.209626
|
0.153321
|
0.135548
|
0.110752
|
0.123111
|
0.110864
|
0.094830
|
0.057839
|
36
|
27
|
0.267891
|
0.281427
|
0.263756
|
0.214390
|
0.157586
|
0.140991
|
0.115562
|
0.119765
|
0.115986
|
0.096803
|
0.056643
|
37
|
28
|
0.279386
|
0.293601
|
0.265723
|
0.216678
|
0.162446
|
0.143736
|
0.118080
|
0.118455
|
0.118240
|
0.096533
|
0.057285
|
38
|
29
|
0.286262
|
0.298196
|
0.270046
|
0.219755
|
0.167638
|
0.146235
|
0.115376
|
0.117498
|
0.118548
|
0.094704
|
0.058874
|
39
|
|
|
|
|
|
|
|
|
|
|
|
|
|
30
|
0.290573
|
0.298485
|
0.269322
|
0.223541
|
0.172433
|
0.145423
|
0.113473
|
0.118790
|
0.116069
|
0.091943
|
0.061342
|
40
|
31
|
0.291422
|
0.295149
|
0.272669
|
0.225404
|
0.182163
|
0.144905
|
0.118118
|
0.120372
|
0.112254
|
0.089473
|
0.066574
|
41
|
32
|
0.304515
|
0.299171
|
0.273831
|
0.230754
|
0.189278
|
0.146697
|
0.129526
|
0.124019
|
0.107691
|
0.087428
|
0.069541
|
42
|
33
|
0.311974
|
0.304021
|
0.273399
|
0.235216
|
0.191748
|
0.153613
|
0.138939
|
0.128523
|
0.104216
|
0.086764
|
0.069017
|
43
|
34
|
0.313162
|
0.307336
|
0.278897
|
0.235968
|
0.197802
|
0.157691
|
0.143022
|
0.131136
|
0.100818
|
0.085803
|
0.069871
|
44
|
|
|
|
|
|
|
|
|
|
|
|
|
|
35
|
0.311234
|
0.302524
|
0.282073
|
0.237112
|
0.197698
|
0.160068
|
0.140263
|
0.131488
|
0.099249
|
0.086118
|
0.069436
|
45
|
36
|
0.319427
|
0.300062
|
0.277002
|
0.229221
|
0.197976
|
0.164846
|
0.139447
|
0.125740
|
0.097445
|
0.087053
|
0.070054
|
46
|
37
|
0.324502
|
0.305336
|
0.273967
|
0.224141
|
0.195877
|
0.169430
|
0.139806
|
0.118811
|
0.094425
|
0.086384
|
0.072813
|
47
|
38
|
0.327859
|
0.302321
|
0.272789
|
0.224922
|
0.187842
|
0.172672
|
0.143942
|
0.114409
|
0.092590
|
0.084747
|
0.074322
|
48
|
39
|
0.332243
|
0.308669
|
0.268731
|
0.229090
|
0.185823
|
0.171038
|
0.151053
|
0.113683
|
0.091057
|
0.083739
|
0.074637
|
49
|
|
|
|
|
|
|
|
|
|
|
|
|
|
40
|
0.342377
|
0.308808
|
0.266703
|
0.224788
|
0.185374
|
0.176786
|
0.157626
|
0.115127
|
0.091205
|
0.084630
|
0.074304
|
50
|
41
|
0.342711
|
0.309816
|
0.270118
|
0.219064
|
0.188417
|
0.181266
|
0.160620
|
0.117801
|
0.094598
|
0.088422
|
0.071449
|
51
|
42
|
0.345098
|
0.319857
|
0.274175
|
0.216866
|
0.188495
|
0.182870
|
0.161822
|
0.120870
|
0.100255
|
0.092677
|
0.068966
|
52
|
43
|
0.357941
|
0.325065
|
0.276557
|
0.219384
|
0.191161
|
0.178990
|
0.164103
|
0.124439
|
0.104993
|
0.094346
|
0.068933
|
53
|
44
|
0.363801
|
0.326360
|
0.283660
|
0.226461
|
0.194039
|
0.172745
|
0.164374
|
0.129097
|
0.107733
|
0.095771
|
0.069770
|
54
|
|
|
|
|
|
|
|
|
|
|
|
|
|
45
|
0.361212
|
0.328289
|
0.291326
|
0.229112
|
0.191338
|
0.169358
|
0.159564
|
0.132736
|
0.109343
|
0.097136
|
0.070347
|
55
|
46
|
0.363893
|
0.323286
|
0.296778
|
0.230814
|
0.187432
|
0.166539
|
0.152207
|
0.133760
|
0.109300
|
0.098157
|
0.071818
|
56
|
47
|
0.370453
|
0.325388
|
0.291028
|
0.238202
|
0.183880
|
0.165907
|
0.145619
|
0.131028
|
0.108884
|
0.097884
|
0.073809
|
57
|
48
|
0.372783
|
0.330432
|
0.292664
|
0.244630
|
0.180272
|
0.164358
|
0.139879
|
0.127227
|
0.108379
|
0.095606
|
0.075640
|
58
|
49
|
0.377197
|
0.333112
|
0.297996
|
0.249370
|
0.179429
|
0.163007
|
0.136074
|
0.123761
|
0.106439
|
0.092109
|
0.077310
|
59
|
|
|
|
|
|
|
|
|
|
|
|
|
|
50
|
0.372227
|
0.336803
|
0.300676
|
0.252298
|
0.181077
|
0.162037
|
0.135594
|
0.121589
|
0.102920
|
0.089269
|
0.077097
|
60
|
51
|
0.375351
|
0.339788
|
0.294778
|
0.249587
|
0.184790
|
0.163793
|
0.136590
|
0.119505
|
0.098051
|
0.091925
|
0.078640
|
61
|
52
|
0.385854
|
0.340113
|
0.287026
|
0.240343
|
0.185568
|
0.167975
|
0.137500
|
0.115341
|
0.091975
|
0.093154
|
0.079571
|
62
|
53
|
0.394292
|
0.336287
|
0.284313
|
0.233346
|
0.183847
|
0.170443
|
0.136854
|
0.111308
|
0.085554
|
0.095555
|
0.082484
|
63
|
54
|
0.398652
|
0.327947
|
0.282079
|
0.229849
|
0.183350
|
0.168665
|
0.134909
|
0.107778
|
0.085110
|
0.098568
|
0.087009
|
64
|
|
|
|
|
|
|
|
|
|
|
|
|
|
55
|
0.397489
|
0.323837
|
0.279588
|
0.230476
|
0.186666
|
0.165346
|
0.131580
|
0.104878
|
0.088935
|
0.099953
|
0.092375
|
65
|
56
|
0.396620
|
0.331189
|
0.278582
|
0.236055
|
0.193082
|
0.159877
|
0.127277
|
0.101099
|
0.092247
|
0.100445
|
0.099420
|
66
|
57
|
0.389835
|
0.344241
|
0.280736
|
0.241521
|
0.200702
|
0.155359
|
0.121922
|
0.097333
|
0.094934
|
0.101590
|
0.106045
|
67
|
58
|
0.389248
|
0.353183
|
0.282947
|
0.246610
|
0.206813
|
0.153444
|
0.117528
|
0.094391
|
0.096565
|
0.103170
|
0.110500
|
68
|
59
|
0.388658
|
0.355485
|
0.289409
|
0.253811
|
0.212358
|
0.154018
|
0.115638
|
0.092933
|
0.096225
|
0.104148
|
0.113069
|
69
|
|
|
|
|
|
|
|
|
|
|
|
|
|
60
|
0.383698
|
0.352369
|
0.296965
|
0.259487
|
0.214274
|
0.157725
|
0.116372
|
0.093218
|
0.093853
|
0.104068
|
0.115606
|
70
|
61
|
0.386548
|
0.350832
|
0.306547
|
0.258640
|
0.214355
|
0.163898
|
0.119325
|
0.095180
|
0.090720
|
0.103657
|
0.120661
|
71
|
62
|
0.400798
|
0.350283
|
0.311878
|
0.255217
|
0.214507
|
0.171032
|
0.123964
|
0.098535
|
0.093963
|
0.102653
|
0.128596
|
72
|
63
|
0.429150
|
0.346451
|
0.314128
|
0.253693
|
0.217197
|
0.178922
|
0.129085
|
0.101881
|
0.097725
|
0.099889
|
0.137575
|
73
|
64
|
0.465179
|
0.341202
|
0.315227
|
0.254505
|
0.222109
|
0.186908
|
0.134584
|
0.105383
|
0.101771
|
0.110605
|
0.147805
|
74
|
Notes:
1. Select age denotes age last birthday at entitlement to disability benefits. Duration measured in years since selection. Attained age calculated as sum of select age and duration. Results do not include auxiliary beneficiaries payable under the DI program. Probabilities reflect experience of the DI rolls only. Beneficiaries may be concurrently entitled to DI and SSI benefits, but those entitled to SSI only are not considered.
2. The value q[x]+t at duration t represents the probability of deathin a multiple-decrement environmentduring the (t+1) year of entitlement for those originally entitled to disability benefits at select age [x] who have attained age [x]+t.
3. Select-and-ultimate table is read across the row for 0-10 years since selection, and down the last (ultimate) column for 10 or more years since selection.
4. Results have been graduated using the Whittaker-Henderson Type B two-dimensional method.
Table A.7B.Female HIV Disabled Beneficiaries (DI Program Only)
Probability of Death
(1992-96 Social Security DI disability experience)
Select age
|
Duration of disability
|
Attained age
|
0
|
1
|
2
|
3
|
4
|
5
|
6
|
7
|
8
|
9
|
10 or more
|
18
|
0.079026
|
0.114213
|
0.138578
|
0.123934
|
0.091646
|
0.072268
|
0.052822
|
0.038317
|
0.035101
|
0.039890
|
0.047312
|
28
|
19
|
0.097538
|
0.135342
|
0.145327
|
0.125573
|
0.092228
|
0.076082
|
0.058458
|
0.043874
|
0.041652
|
0.043447
|
0.046805
|
29
|
|
|
|
|
|
|
|
|
|
|
|
|
|
20
|
0.116184
|
0.156284
|
0.152323
|
0.127900
|
0.093513
|
0.080368
|
0.063940
|
0.049413
|
0.048174
|
0.046938
|
0.046180
|
30
|
21
|
0.135438
|
0.176292
|
0.160768
|
0.132327
|
0.096113
|
0.084998
|
0.068925
|
0.055025
|
0.054499
|
0.050205
|
0.045181
|
31
|
22
|
0.154913
|
0.191922
|
0.169393
|
0.139520
|
0.100614
|
0.089130
|
0.073272
|
0.060662
|
0.060063
|
0.052938
|
0.043320
|
32
|
23
|
0.169330
|
0.201566
|
0.180081
|
0.147580
|
0.105926
|
0.091704
|
0.076825
|
0.065972
|
0.064765
|
0.054720
|
0.050912
|
33
|
24
|
0.178069
|
0.207922
|
0.192609
|
0.154425
|
0.112470
|
0.094513
|
0.079749
|
0.070487
|
0.067896
|
0.054872
|
0.053195
|
34
|
|
|
|
|
|
|
|
|
|
|
|
|
|
25
|
0.183582
|
0.210439
|
0.202868
|
0.159948
|
0.119576
|
0.098598
|
0.081119
|
0.073378
|
0.069391
|
0.053143
|
0.057533
|
35
|
26
|
0.185818
|
0.210603
|
0.207652
|
0.164713
|
0.127558
|
0.103194
|
0.082253
|
0.073179
|
0.068364
|
0.060616
|
0.060870
|
36
|
27
|
0.186906
|
0.209077
|
0.205132
|
0.168508
|
0.134411
|
0.106905
|
0.083430
|
0.071718
|
0.065579
|
0.063655
|
0.062134
|
37
|
28
|
0.190539
|
0.210526
|
0.198987
|
0.171664
|
0.140192
|
0.107861
|
0.086407
|
0.070346
|
0.061443
|
0.065485
|
0.063555
|
38
|
29
|
0.196869
|
0.219549
|
0.197110
|
0.172484
|
0.143504
|
0.106551
|
0.089859
|
0.069628
|
0.064008
|
0.069184
|
0.064475
|
39
|
|
|
|
|
|
|
|
|
|
|
|
|
|
30
|
0.207891
|
0.230446
|
0.199513
|
0.173059
|
0.143768
|
0.103922
|
0.092597
|
0.068784
|
0.067130
|
0.074369
|
0.062048
|
40
|
31
|
0.225123
|
0.236764
|
0.205855
|
0.169213
|
0.142432
|
0.103383
|
0.095343
|
0.067818
|
0.069380
|
0.078362
|
0.054429
|
41
|
32
|
0.243163
|
0.238084
|
0.209423
|
0.163308
|
0.141715
|
0.105583
|
0.096095
|
0.067157
|
0.072537
|
0.078262
|
0.047784
|
42
|
33
|
0.253629
|
0.237106
|
0.208117
|
0.159128
|
0.139577
|
0.107540
|
0.094466
|
0.065585
|
0.077078
|
0.076399
|
0.045773
|
43
|
34
|
0.258253
|
0.237884
|
0.205982
|
0.158736
|
0.135544
|
0.107134
|
0.091559
|
0.062701
|
0.081677
|
0.071939
|
0.045101
|
44
|
|
|
|
|
|
|
|
|
|
|
|
|
|
35
|
0.252717
|
0.238934
|
0.203287
|
0.159897
|
0.129743
|
0.103242
|
0.087786
|
0.064369
|
0.083958
|
0.067896
|
0.046517
|
45
|
36
|
0.247372
|
0.241603
|
0.199467
|
0.157574
|
0.126425
|
0.098399
|
0.083574
|
0.068471
|
0.083856
|
0.067087
|
0.050616
|
46
|
37
|
0.244826
|
0.242575
|
0.195985
|
0.154614
|
0.124098
|
0.094370
|
0.079644
|
0.069637
|
0.083251
|
0.066912
|
0.053930
|
47
|
38
|
0.243154
|
0.240779
|
0.193150
|
0.152812
|
0.119172
|
0.091325
|
0.076862
|
0.069421
|
0.082194
|
0.063706
|
0.055467
|
48
|
39
|
0.244224
|
0.236722
|
0.193704
|
0.152439
|
0.113498
|
0.086491
|
0.072196
|
0.070486
|
0.079836
|
0.060716
|
0.055766
|
49
|
|
|
|
|
|
|
|
|
|
|
|
|
|
40
|
0.245567
|
0.229702
|
0.197210
|
0.151862
|
0.108376
|
0.080183
|
0.070730
|
0.070704
|
0.076366
|
0.060552
|
0.055758
|
50
|
41
|
0.249439
|
0.227962
|
0.201205
|
0.150573
|
0.104525
|
0.074667
|
0.070888
|
0.072317
|
0.072897
|
0.063236
|
0.055926
|
51
|
42
|
0.252011
|
0.234987
|
0.206778
|
0.150880
|
0.102631
|
0.069499
|
0.072891
|
0.075391
|
0.069565
|
0.068201
|
0.054926
|
52
|
43
|
0.257186
|
0.239285
|
0.207500
|
0.149957
|
0.101901
|
0.071739
|
0.075065
|
0.075245
|
0.067946
|
0.074458
|
0.051677
|
53
|
44
|
0.268059
|
0.235922
|
0.202809
|
0.149774
|
0.101875
|
0.075933
|
0.076168
|
0.074440
|
0.069686
|
0.079164
|
0.048998
|
54
|
|
|
|
|
|
|
|
|
|
|
|
|
|
45
|
0.275026
|
0.230493
|
0.196181
|
0.151860
|
0.101210
|
0.080398
|
0.077399
|
0.074139
|
0.074007
|
0.081020
|
0.046827
|
55
|
46
|
0.280487
|
0.230282
|
0.189600
|
0.153471
|
0.099110
|
0.081100
|
0.074255
|
0.073228
|
0.079097
|
0.082592
|
0.046086
|
56
|
47
|
0.283300
|
0.229393
|
0.184919
|
0.151989
|
0.098986
|
0.078284
|
0.067835
|
0.070976
|
0.084318
|
0.084560
|
0.046155
|
57
|
48
|
0.280516
|
0.230267
|
0.181096
|
0.148422
|
0.100710
|
0.073271
|
0.062066
|
0.068949
|
0.088185
|
0.086610
|
0.047682
|
58
|
49
|
0.277422
|
0.229939
|
0.179738
|
0.143144
|
0.102695
|
0.067194
|
0.058133
|
0.068681
|
0.091203
|
0.089696
|
0.052834
|
59
|
|
|
|
|
|
|
|
|
|
|
|
|
|
50
|
0.279904
|
0.227908
|
0.180224
|
0.138041
|
0.104230
|
0.060883
|
0.057450
|
0.069952
|
0.094497
|
0.093248
|
0.055628
|
60
|
51
|
0.287003
|
0.227813
|
0.181145
|
0.134154
|
0.104819
|
0.057856
|
0.060239
|
0.073067
|
0.097770
|
0.097218
|
0.056873
|
61
|
52
|
0.296224
|
0.228173
|
0.182075
|
0.131358
|
0.105012
|
0.060044
|
0.066430
|
0.077255
|
0.100703
|
0.099068
|
0.057057
|
62
|
53
|
0.305687
|
0.229954
|
0.183024
|
0.130205
|
0.103133
|
0.066663
|
0.075574
|
0.082218
|
0.101587
|
0.095887
|
0.056236
|
63
|
54
|
0.313424
|
0.232727
|
0.183418
|
0.128766
|
0.099692
|
0.076279
|
0.084093
|
0.087199
|
0.100503
|
0.091167
|
0.055919
|
64
|
|
|
|
|
|
|
|
|
|
|
|
|
|
55
|
0.314705
|
0.235461
|
0.182556
|
0.127397
|
0.095179
|
0.086855
|
0.089272
|
0.091386
|
0.098230
|
0.086448
|
0.056311
|
65
|
56
|
0.307646
|
0.238446
|
0.180756
|
0.126512
|
0.090974
|
0.096670
|
0.092086
|
0.094279
|
0.095217
|
0.082985
|
0.057718
|
66
|
57
|
0.295924
|
0.241963
|
0.178151
|
0.126292
|
0.088220
|
0.104305
|
0.093410
|
0.095103
|
0.091846
|
0.080904
|
0.060442
|
67
|
58
|
0.284262
|
0.241986
|
0.176371
|
0.127102
|
0.087459
|
0.108629
|
0.093300
|
0.092729
|
0.088171
|
0.078680
|
0.064619
|
68
|
59
|
0.276877
|
0.240431
|
0.176336
|
0.128641
|
0.088944
|
0.108951
|
0.091398
|
0.088129
|
0.084344
|
0.076503
|
0.069879
|
69
|
|
|
|
|
|
|
|
|
|
|
|
|
|
60
|
0.274923
|
0.238823
|
0.178520
|
0.130850
|
0.091297
|
0.104689
|
0.087164
|
0.082193
|
0.079689
|
0.073062
|
0.075151
|
70
|
61
|
0.280447
|
0.237663
|
0.180692
|
0.132958
|
0.094039
|
0.096950
|
0.081546
|
0.083692
|
0.083678
|
0.082768
|
0.081228
|
71
|
62
|
0.289534
|
0.236894
|
0.182276
|
0.135860
|
0.096426
|
0.088299
|
0.079752
|
0.095372
|
0.097375
|
0.092966
|
0.088267
|
72
|
63
|
0.302195
|
0.237619
|
0.183492
|
0.139993
|
0.098635
|
0.078422
|
0.085829
|
0.107164
|
0.112011
|
0.103652
|
0.095885
|
73
|
64
|
0.316224
|
0.238856
|
0.185197
|
0.144398
|
0.101031
|
0.083658
|
0.092126
|
0.118599
|
0.126426
|
0.114562
|
0.104047
|
74
|
Notes:
1. Select age denotes age last birthday at entitlement to disability benefits. Duration measured in years since selection. Attained age calculated as sum of select age and duration. Results do not include auxiliary beneficiaries payable under the DI program. Probabilities reflect experience of the DI rolls only. Beneficiaries may be concurrently entitled to DI and SSI benefits, but those entitled to SSI only are not considered.
2. The value q[x]+t at duration t represents the probability of deathin a multiple-decrement environmentduring the (t+1) year of entitlement for those originally entitled to disability benefits at select age [x] who have attained age [x]+t.
3. Select-and-ultimate table is read across the row for 0-10 years since selection, and down the last (ultimate) column for 10 or more years since selection.
4. Results have been graduated using the Whittaker-Henderson Type B two-dimensional method.
Appendix B
Study Population and Methods
A. Overview
For this study, we analyzed over 538,000 records of disabled beneficiaries from two separate 5-year periods: January 1, 1997-December 31, 2001 and January 1, 1992-December 31, 1996. The primary variables of interest include the reason for decrement from the disability rolls, and duration since entitlement. However, factors other than time since selection affect survival. These include the standard concomitant variables of select age and sex of the beneficiary. The analysis reflects exposure counts of roughly 1,088,000 life-years for males and 327,000 life-years for females. A 10-year select period was chosen for this study, implying that decrement for participants 10 or more years beyond selection is no longer a function of select age, but a function of attained age only.
As it relates to the HIV cohorts under observation, the main cause of termination of DI or SSI benefits is death of the beneficiary. Termination may also occur for non-death reasons such as returning to work, conversion to old-age benefits under the DI program, or 12 consecutive months of non-pay status under the SSI program. However, due to the sparsity of such terminations among HIV beneficiaries, separate decrement tables are not developed for categories other than death. The table below provides a breakdown of the termination data collected from the MBR and SSR.
Number of HIV Disabled Beneficiaries on the DI and SSI Rolls with Benefits Terminated, by Reason
|
Male
|
Female
|
Total
|
(January 1997-December 2001)
|
Death
|
44,747
|
13,643
|
58,390
|
Non-Death
|
11,440
|
3,657
|
15,097
|
Total
|
56,187
|
17,300
|
73,487
|
(January 1992-December 1996)
|
Death
|
124,553
|
21,136
|
145,689
|
Non-Death
|
7,259
|
2,450
|
9,709
|
Total
|
131,812
|
23,586
|
155,398
|
Source: HIV database as of June 2004. Results do not include auxiliary beneficiaries payable under the DI program.
B. Data Considerations
Beneficiaries observed for this study are categorized under one of several HIV disability impairment codes. A code of 042, 043, or 044 was listed as either the primary or secondary reason for impairment during the observation period. Note that HIV is not necessarily the primary reason for impairmentfor example, if an individual is incapacitated by depression brought on by HIV, then depression might be the primary diagnosis, with HIV coded as secondary. We also consider beneficiaries who have had an HIV impairment in the past, but appeared on the rolls during the observation period under another impairment category. There are instances where HIV is present, but the applicant is either (1) denied benefits, or (2) initially allowed benefits without HIV being listed as the primary or secondary reason for disability. These cases are not captured in the study.
The mortality experience is affected by several unique circumstances. It is recognized that a claimant may die during the 5-month waiting period required under the DI programand therefore never becomes entitled; or the claimant may die before final disposition of the disability claimin which case only retroactive disability benefits may be payable. With regard to the DI program, participation in this study is contingent upon entitlement to benefits. Therefore, death prior to entitlement is not a "countable" death. As a result, the probability of death during the first year of entitlement may be artificially lower than expected. Note that the SSI program does not have a waiting period and SSI-only recipients come under observation as soon as eligibility is determined.
In general, observation ends with the period in which benefits are terminated. As previously mentioned, non-death termination of benefits can occur when a beneficiary returns to work, or remains in non-pay status for 12 consecutive months under the SSI programfor example, due to excess income or resources. Under the DI program, disabled workers may convert to old-age benefits at anytime beginning with age 62, with mandatory conversion taking place at normal retirement age. Such conversion is considered a termination of disability benefits as old-age benefits become payable from the OASI Trust Fund. However, disabled beneficiaries continue under observation in this study beyond the time of the switch. Consequently, deaths for attained ages 62 and older may come from the OASI rolls. The SSI program has an aged category for non-disabled individuals whose eligibility requires them, in part, to be age 65 or older. However, there is no automatic conversion to this category for disabled recipientswho generally continue to be considered disabled beyond this age, and also continue under observation in this study.
Other exceptional cases exist where observation continues beyond non-death termination of benefits. This occurs for some SSI-only cases in which the SSR is automatically annotated upon reporting of death. Instances where death is recorded after non-death termination may result in additional exposure credited to an otherwise terminated recipient. However, this anomaly does not materially impact results.
This study integrates a special longitudinal file constructed from the SSR. However, due to the nature of the data, several problems were encountered in combining MBR records with SSR records relating to individuals who receive both DI and SSI benefits during a period of disability. As they appear on the MBR, entitlement and cessation dates are utilized for processing concurrent cases while accounting for overlapping periods of DI entitlement and SSI eligibility. Under this convention, observation begins from the date of DI entitlement. As a result, up to 5 months of exposure may not be captured for beneficiaries who receive an SSI benefit during the DI 5-month waiting period. Also some exposure may not be captured for beneficiaries who transition from concurrent status to SSI-only eligibility, due to SGA earnings after the 36-month DI extended period of eligibility. In such cases, observation ends upon termination of DI benefits as a result of work activity. However, SSI eligibility may continue if earnings are such that countable income does not exceed the applicable Federal SSI benefit rate. It should be noted, however, that the above omissions do not materially impact results. Refer to appendix C for details on SSI considerations.
Another problem involves beneficiaries having multiple records on the SSR. It is possible that different records are related to different impairments. For example, an SSI beneficiary might have several records of eligibility; at least one of which, but not necessarily all, are related to HIV impairments. Given the structure of the longitudinal file, it is not possible to distinguish which records in multiple-record cases are relevant to the study and which are not. In such instances, all records of eligibility are processed.
C. Methods
The availability of complete data on each participant in the study (including date of birth, date of entitlement, and cause of decrement) allows for direct estimation of the multiple-decrement probabilities q(i), where i represents the cause of decrement. The ordered pair (r,s) is determined for each age interval (x,x+1] for which a participant is under observation. The concept is that each participant enters the interval at age x+r(0 ≤ r < 1), and is scheduled to exit the interval at age x+s(0 < s ≤ 1). Numerically, s-r is the amount of time (measured in life-years) that the participant is exposed to the risk of decrement. Summing over all participants, we can calculate the scheduled exposure contributed to an interval.
A participant may survive to the end of an interval, or may exit the study prior to the end of the interval in the event of:
- Death,
- Recovery or other non-death decrement, or
- The end of the observation periodtermed an observed ender.
Based on these criteria, a scheduled ending age, x+s, is established for an age interval in which the participant is expected to either survive to the end (s=1), or become an observed ender (s < 1). Scheduled exposure is then credited to the appropriate interval (or duration since selection) using the following conditions: if the participant survives to the end of the interval, then exposure is credited from x+r to x+1; if the participant dies or is an observed ender within the interval, then exposure is credited from x+r to x+s; if the participant withdraws from the study during the interval (for example, recovers), then exposure is credited from age x+r to to x+s. Death probabilities are found by dividing the observed number of deaths in an interval by the aggregate scheduled exposure for that interval.
D. Select Age, Duration, and Graduation
Entitlement to disability benefits usually occurs at some fractional age of the beneficiary. To facilitate exposure calculations, the insuring age of the participant and corresponding insuring date of birth are substituted for the actual age at entitlement and actual date of birth. In this study, the insuring age is calculated to be the beneficiary's age last birthday as of entitlement. For example, consider the following beneficiary data:
Date of entitlement: 1-February-1992
Date of birth: 10-July-1960
Actual age at entitlement: 31 years, 206 days
Insuring (select) age: 31 years
Insuring date of birth: 1-February-1961
Use of insuring age results in an integral select age at entitlement ensuring that subsequent durations begin on the entitlement anniversary. This is true whether the participant enters the study during the observation period, or is already part of the entitlement group when the observation period opens.
The intervals for which a participant is under observationmeasured from the select ageare called durations. For each select age [x] and duration n, the ordered pair (r,s) represents the amount of exposure contributed to the observation interval ([x]+n,[x]+n+1]. For durations extending beyond the 10-year select period, exposure is credited to the appropriate attained age interval. For details on the crediting of exposure, the reader is referred to Actuarial Study No. 118.
The select-and-ultimate multiple-decrement probabilities are graduated using the two-dimensional Whittaker-Henderson Type B method. The horizontal and vertical smoothing coefficients were chosen to obtain some degree of smoothness within individual durations (columns) as well as within select ages (rows). The erratic nature of the data at various attained ages results in some deviation from the original estimates.
Although HIV disability beneficiaries may live to older ages, current administrative records show very little evidence of survival beyond age 74. Therefore, no results are presented beyond this attained age.
E. Survival Tables
Survival tables 2A-2B (and A.2A-A.2B) are constructed from the select-and-ultimate death probabilities. The functions l[x],l[x],+1, ...,l74 are first calculated for select age [x] = 18, using a radix of 100,000. This step determines values for the ultimate period of the table. Functions for select ages [x] > 18 are then derived retrospectively from the ultimate values. For example, l[x] is determined from lx + 10 using the survival probabilities of the select period for the given select age. The number l[x] + t represents the number alive at the beginning of duration t from those originally entitled at select age [x]. Note that the number alive at various select ages are not actual counts of disability beneficiaries. Rather, the number living at the beginning of any duration are for illustrative purposes, chosen to represent the probability of survival based on values shown in tables 1A-1B (and A.1A-A.1B).
The survival tables are read across the row, or select period, for 0-10 years since selection, then down the last column, or ultimate period for 10 or more years since selection. Numbers for the following example can be found in table 2A. Of the male beneficiaries disabled at select age 30, the following table shows the number surviving (that is, still on the disability rolls) after the stated number of years:
Years since entitlement
|
Number living
|
Probability of survival
|
Attained age
|
0
|
71,589
|
1.000
|
30
|
1
|
64,568
|
.902
|
31
|
5
|
47,251
|
.660
|
35
|
10
|
35,426
|
.495
|
40
|
15
|
26,071
|
.364
|
45
|
F. Expected Future Lifetime
Future lifetime tables are produced from the survival functions described above using basic actuarial principles found in any standard actuarial text on life contingencies. Tables 4-5 (and A.4-A.5) show the results of aggregating over duration by select or attained age.
Aggregate lifetime for a specific select age is an exposure-weighted average of the expected future lifetime at each duration of that age. This differs from aggregate lifetime for a specific attained age, which is an exposure-weighted average of the expected future lifetime of those durations representing a particular attained age.
For example, aggregate lifetime for select age 40 is a weighted average of the expected lifetimes shown for each duration 0 through 34where each duration represents a different attained age. In contrast, aggregate lifetime for attained age 40 is the average of the expected lifetimes for a select 40-year-old at duration 0, select 39-year-old at duration 1,... select 20-year-old at duration 20all of whom are attained age 40.
G. Probabilities and Absolute Rates
The data for this study were collected in a multiple-decrement environment, however, we explicitly consider only two major decrement classesdeath and non-death. The symbol q(d) represents the probability of death in the presence of other decrements. Mathematically, this is represented by:
|
=
|
|
where p(τ) is the probability of surviving under all decrements; and µ(d) is the force of mortality.
For each of the causes of decrement in a multiple-decrement model, it is possible to define a single-decrement model that depends only on a particular cause of decrement. The symbol q´(d) represents the single-decrement (absolute) rate of death. Mathematically, this is represented by:
|
=
|
|
where p´(d) is the probability of not dying. In this representation, observation stops at the point of non-death decrement, and scheduled exposure (as previously discussed) is replaced by the smaller quantity of exact exposure. The result is lower exposure totals relative to those used in formulating death probabilities.
Although not presented in this study, absolute rates may be obtained from the death probabilities shown in tables 1A-1B and HIV non-death decrement probabilities. Assuming a constant force of mortality over the age interval (x,x + 1), absolute rates may be derived using the following:
where q(τ) = 1 - p(τ) (all other symbols are as described above).
Appendix C
Disability Program Overview
A. Definition of Disability
For purposes of entitlement to disability benefits under the DI program, disability is defined as the inability to engage in any substantial gainful activity (SGA) by reason of any medically determinable physical or mental impairment. The impairment must be expected to result in death or to last for a continuous period of at least 12 months.
The formal determination of disability is based on a sequential process defined in regulations. The first step compares actual earnings to a specified level to determine ability to engage in SGA. Absent such actual earnings evidence, the sequential process continues with an evaluation of the nature and severity of the alleged impairment, followed by consideration of age, education, and work experience.
The same definition of disability applies when determining eligibility of adults under the Supplemental Security Income (SSI) program as described under title XVI of the Social Security Act. This means-tested cash benefits program is also administered by the Social Security Administration.
Special provisions exist for the evaluation of insured status and disability in cases of statutory blindness.
B. Disability Insured Status and Waiting Period
To be insured for DI benefits, a worker must earn a requisite number of quarters of coverage (QCs) in employment covered by Social Security. In addition to earning sufficient QCs to be deemed fully insured , the worker must also fulfill a recency-of-work requirement to be deemed disability insured. The number of required recent QCs varies by age, and ranges from 6 out of the last 12 quarters immediately preceding the onset of disability, to 20 out of the last 40. There is no insured status requirement for disability benefits under the SSI program.
There is a required waiting period for DI benefits, which consists of 5 consecutive calendar months beginning with the earliest calendar month throughout which the worker satisfied both the definition of disability and the disability insured requirements. Benefits are not payable during this period. By law, the waiting period is waived for individuals who had a prior period of disability which ended within 5 years of the current period of disability. There is no waiting period for disability benefits under the SSI program.
C. Substantial Gainful Activity (SGA)
Substantial work activity involves the performance of significant physical or mental duties that are productive in nature. Gainful work activity is work performed for pay or profit. The degree to which an impairment limits an individual's ability to perform basic work activities is essential in determining the severity of the disability.
Certain earnings criteria have been established as reasonable indications of whether an individual is engaging in SGA. The dollar amount associated with defining SGA was originally set at $100 at the inception of the DI program. This amount received ad hoc increases from time-to-time, including a 1990 increase to $500 from $300, and a 1999 increase to $700 from $500. Beginning in 2001, the amount has been indexed each year by increases in average wages. As of 2005, an employee earning over $830 per month will ordinarily demonstrate SGA; less than that amount will ordinarily demonstrate lack of SGA.
D. Impairments
To establish the presence of an impairment, an individual must provide a claim with supporting medical evidence of the alleged disability. To determine the severity of the disability, SSA consults the Listing of Impairments, which sets forth the criteria needed to be met by various impairments in order for the claimant to be judged incapable of performing SGA. However, a diagnosis of a listed impairment alone may not be sufficient to establish disability; associated symptoms, clinical signs, and laboratory findings must accompany it.
Many individuals are found to be disabled even though impairments fail to meet the level of severity required in the medical listings. In these instances, vocational factors have been considered along with an individual's medical condition. Age, education, and job skills are given increasing weight with advancing age and are particularly significant in determining disability among workers age 50 or older.
E. Determination Process
At the initial stage of a claimant's request for disability benefits, the State Disability Determination Services (DDS) will make a decision to allow or deny the claim. A claimant who is dissatisfied with the initial decision may pursue an appeals process:
- The claimant may request the reconsideration of an initial decision. This entails re-examination of administrative recordsin the same DDSwith the opportunity to submit new material evidence supporting the claim.
- If disagreement persists after the reconsideration, the claimant may request a hearing before an administrative law judge (ALJ) of the Office of Hearings and Appeals (OHA).
- If disagreement persists after the ALJ decision, the claimant may request a review by the Appeals Council of OHA, and then may pursue civil action in a Federal district court.
Many factors exist that affect the number of disability claims filed as well as the frequency of subsequent decisions to either allow or deny benefits. However, the impact of any one factor is difficult to gauge. In general, they may be administrative, economic, or demographic in nature.
The subjectivity inherent in assessing disability leaves considerable room for interpretation of evidence. As a result, overturned decisions at the OHA level and beyond remain relatively high. Factors that contribute to the high reversal rate include:
- A group of decision-makers different from those used at the initial and reconsideration stages,
- Use of legal representation and further opportunity to submit new material evidence supporting the claim.
F. SSI Considerations
The SSI program provides assistance to individuals who are either ineligible for various types of Social Security benefits, or whose benefits could not provide a basic level of income. This "last resort" type of assistance is available to aged, blind, or disabled individuals whose income and resources are below specified levels. The program takes into account all income and resources that an individual has and applies uniform standards and objective eligibility criteria to measure the need for assistance. These include: