Disability Insurance program: worker experience

SOCIAL SECURITY
DISABILITY INSURANCE PROGRAM
WORKER EXPERIENCE

ACTUARIAL STUDY NO. 114

by Tim Zayatz, A.S.A.

Termination Study by Select Age and Duration

Table 7A.--DI Male Disabled Worker Probability of Death

(1991-1995 Social Security disability experience)

Select age	Duration of disability											Attained age
Select age	0	1	2	3	4	5	6	7	8	9	10+	Attained age
20	0.017889	0.013691	0.010076	0.007712	0.006414	0.006243	0.006639	0.007396	0.007709	0.007550	0.007873	30
21	0.021394	0.016716	0.012485	0.009665	0.008010	0.007524	0.007536	0.008123	0.008164	0.008036	0.008573	31
22	0.025293	0.020261	0.015302	0.011616	0.009565	0.008716	0.008396	0.008831	0.008680	0.008570	0.009018	32
23	0.029890	0.024887	0.018694	0.013832	0.011063	0.009753	0.009359	0.009432	0.009313	0.009009	0.009289	33
24	0.035863	0.030661	0.022830	0.016317	0.012666	0.010843	0.010205	0.009989	0.010080	0.009498	0.009639	34

25	0.043244	0.037630	0.027570	0.019117	0.014166	0.011778	0.010764	0.010580	0.010755	0.010068	0.009964	35
26	0.051200	0.044691	0.032337	0.021806	0.015451	0.012607	0.011438	0.011166	0.011203	0.010520	0.010060	36
27	0.059128	0.050628	0.036452	0.024181	0.016899	0.013405	0.011998	0.011619	0.011583	0.011061	0.010258	37
28	0.065669	0.055377	0.039515	0.026047	0.018223	0.014329	0.012507	0.012079	0.011984	0.011665	0.010675	38
29	0.070538	0.058766	0.041999	0.027197	0.019386	0.015337	0.013189	0.012713	0.012544	0.012295	0.011268	39

30	0.073711	0.061068	0.043292	0.028230	0.020218	0.016191	0.014054	0.013354	0.013276	0.012949	0.012245	40
31	0.075477	0.061522	0.043848	0.029072	0.020928	0.016730	0.014848	0.014112	0.014081	0.013669	0.013235	41
32	0.077085	0.061888	0.044213	0.029581	0.021265	0.017260	0.015770	0.015102	0.015053	0.014656	0.014114	42
33	0.077824	0.062024	0.044254	0.030100	0.021811	0.018167	0.016677	0.016062	0.015795	0.015613	0.014695	43
34	0.078340	0.061669	0.043994	0.030631	0.022561	0.018849	0.017552	0.016855	0.016497	0.016463	0.015571	44

35	0.079178	0.061365	0.043463	0.031237	0.023457	0.019655	0.018343	0.017781	0.017446	0.017332	0.016566	45
36	0.079452	0.061170	0.043257	0.031148	0.024274	0.020535	0.019166	0.018618	0.018492	0.018406	0.017754	46
37	0.079577	0.061156	0.043084	0.030854	0.024667	0.021499	0.020224	0.019350	0.019367	0.019549	0.019221	47
38	0.079902	0.060320	0.042381	0.030397	0.024842	0.022326	0.021392	0.020285	0.020181	0.020432	0.020090	48
39	0.080544	0.059014	0.040642	0.030047	0.025139	0.022996	0.022422	0.021488	0.021202	0.021473	0.020826	49

40	0.080814	0.057694	0.038977	0.029621	0.025345	0.023919	0.023324	0.022652	0.022631	0.022803	0.022134	50
41	0.080658	0.056434	0.037712	0.029246	0.025769	0.024392	0.024425	0.024270	0.024598	0.024760	0.023729	51
42	0.080079	0.055245	0.037185	0.029265	0.025987	0.024985	0.025684	0.025992	0.026788	0.027336	0.025594	52
43	0.079862	0.054184	0.036866	0.029656	0.026764	0.026005	0.026939	0.027523	0.028925	0.029649	0.027496	53
44	0.080042	0.053239	0.037023	0.030037	0.027948	0.027378	0.028219	0.029039	0.030815	0.031376	0.029651	54

45	0.080736	0.052125	0.037109	0.030916	0.029227	0.028898	0.029381	0.030614	0.032647	0.033104	0.031698	55
46	0.082514	0.051843	0.037367	0.032300	0.030278	0.030286	0.030938	0.032761	0.034612	0.035076	0.033563	56
47	0.084207	0.052433	0.038108	0.033413	0.031455	0.031855	0.032739	0.034951	0.036705	0.037435	0.035618	57
48	0.084663	0.052549	0.038603	0.034032	0.033026	0.033719	0.034805	0.036965	0.038574	0.040136	0.038304	58
49	0.083520	0.052009	0.038690	0.034153	0.034493	0.035227	0.037166	0.038468	0.040275	0.042510	0.040646	59

50	0.081998	0.051381	0.038674	0.034524	0.035447	0.037220	0.039347	0.039974	0.042091	0.044594	0.042878	60
51	0.085624	0.052812	0.040008	0.036314	0.036803	0.039340	0.041440	0.042255	0.044422	0.047052	0.045908	61
52	0.088961	0.054347	0.041259	0.037956	0.038471	0.041486	0.043023	0.044771	0.047276	0.048735	0.048753	62
53	0.090391	0.055072	0.041780	0.039094	0.040293	0.043515	0.045143	0.047019	0.049661	0.048580	0.045426	63
54	0.087985	0.054822	0.041938	0.039834	0.042003	0.045506	0.047365	0.048301	0.049823	0.046154	0.033648	64

55	0.083943	0.054239	0.041694	0.040669	0.043638	0.046974	0.048486	0.048545	0.047235	0.043586	--	65
56	0.085655	0.055569	0.043917	0.042815	0.046197	0.048396	0.048680	0.046774	0.044050	--	--	66
57	0.087558	0.057667	0.047243	0.045645	0.048026	0.048644	0.046088	0.043588	--	--	--	67
58	0.090269	0.060473	0.050325	0.048360	0.048380	0.045692	0.042459	--	--	--	--	68
59	0.092258	0.063368	0.052346	0.049323	0.044759	0.041113	--	--	--	--	--	69

60	0.096197	0.066224	0.053322	0.047488	0.039441	--	--	--	--	--	--	70
61	0.109424	0.071415	0.052627	0.043160	--	--	--	--	--	--	--	71
62	0.121964	0.074015	0.049384	--	--	--	--	--	--	--	--	72
63	0.127749	0.072694	--	--	--	--	--	--	--	--	--	73
64	0.119946	--	--	--	--	--	--	--	--	--	--	74

Notes:
(1) Probability of death

in a multiple-decrement environment. Select age denotes age last birthday at entitlement.
(2) The quantity at duration t represents the probability of death during the ( t +1) year of entitlement for those lives originally entitled to disability benefits at select age [ x ] and who are currently attained age [ x ]+ t.
(3) Probabilities are read across the row for durations 0-10, and down the ultimate column ("10+") for durations greater than 10.
(4) The probabilities shown have been graduated using the Whittaker-Henderson Type B two-dimensional graduation methodology. See the appendix for details.

Table 7B.--DI Female Disabled Worker Probability of Death

(1991-1995 Social Security disability experience)

Select age	Duration of disability											Attained age
Select age	0	1	2	3	4	5	6	7	8	9	10+	Attained age
20	0.016197	0.012490	0.009198	0.007198	0.007059	0.007736	0.008301	0.007736	0.007249	0.006961	0.007374	30
21	0.018468	0.013752	0.009909	0.007625	0.007384	0.007715	0.007983	0.007593	0.007293	0.007287	0.007782	31
22	0.020512	0.015097	0.010687	0.008171	0.007721	0.007756	0.007683	0.007515	0.007423	0.007554	0.007901	32
23	0.022390	0.016457	0.011628	0.008898	0.008005	0.007773	0.007563	0.007513	0.007615	0.007740	0.007799	33
24	0.023890	0.017722	0.012740	0.009769	0.008239	0.007803	0.007706	0.007636	0.007902	0.007996	0.007699	34

25	0.025237	0.018824	0.013623	0.010489	0.008638	0.008013	0.007981	0.008030	0.008268	0.008309	0.007880	35
26	0.026582	0.019915	0.014377	0.011122	0.009054	0.008392	0.008395	0.008534	0.008652	0.008732	0.008325	36
27	0.028107	0.020922	0.015034	0.011407	0.009497	0.008846	0.008786	0.008988	0.009105	0.009125	0.008722	37
28	0.029742	0.021812	0.015503	0.011625	0.009827	0.009179	0.009281	0.009348	0.009606	0.009548	0.009037	38
29	0.031476	0.022414	0.015743	0.011906	0.010074	0.009501	0.009672	0.009758	0.010144	0.010087	0.009518	39

30	0.033049	0.022807	0.015808	0.012120	0.010432	0.009813	0.009962	0.010143	0.010608	0.010516	0.010285	40
31	0.034603	0.023475	0.016099	0.012361	0.010977	0.010202	0.010187	0.010493	0.010881	0.010987	0.010895	41
32	0.036149	0.024427	0.016549	0.012581	0.011364	0.010738	0.010378	0.010766	0.011109	0.011541	0.011428	42
33	0.037220	0.025256	0.016896	0.012789	0.011556	0.011066	0.010454	0.010956	0.011497	0.012052	0.012137	43
34	0.038754	0.025993	0.017258	0.013207	0.011693	0.011264	0.010691	0.011230	0.011919	0.012469	0.012772	44

35	0.040325	0.026376	0.017598	0.013394	0.011807	0.011631	0.011189	0.011588	0.012199	0.012796	0.013090	45
36	0.041674	0.027174	0.017960	0.013656	0.012227	0.011984	0.011887	0.011959	0.012446	0.013063	0.013475	46
37	0.043156	0.028246	0.018455	0.014193	0.012879	0.012572	0.012631	0.012460	0.012840	0.013507	0.014208	47
38	0.045484	0.029325	0.019031	0.014746	0.013447	0.013320	0.013387	0.013225	0.013375	0.013994	0.015042	48
39	0.047476	0.030016	0.019823	0.015296	0.014101	0.014183	0.014427	0.014176	0.014113	0.014646	0.015460	49

40	0.049265	0.030743	0.020377	0.015755	0.014809	0.015110	0.015425	0.015123	0.015171	0.015464	0.015963	50
41	0.051246	0.031654	0.020747	0.016246	0.015487	0.015645	0.016143	0.016151	0.016538	0.016683	0.016697	51
42	0.053596	0.032633	0.021157	0.016789	0.015965	0.016006	0.016752	0.017228	0.018052	0.018157	0.017615	52
43	0.055300	0.033720	0.021714	0.017379	0.016549	0.016331	0.017211	0.018104	0.019412	0.019773	0.019003	53
44	0.057164	0.034945	0.022597	0.018180	0.017597	0.017273	0.017898	0.019001	0.020794	0.021143	0.020383	54

45	0.059383	0.036424	0.023417	0.019028	0.018749	0.018384	0.018730	0.020228	0.022124	0.022659	0.021634	55
46	0.061319	0.037448	0.024081	0.019810	0.019578	0.019658	0.019821	0.021635	0.023300	0.024058	0.022471	56
47	0.062887	0.038248	0.024921	0.020341	0.020038	0.020804	0.021129	0.022944	0.024476	0.025279	0.023587	57
48	0.063696	0.038536	0.025535	0.021190	0.020618	0.021786	0.022474	0.023838	0.025501	0.026539	0.025130	58
49	0.063459	0.038519	0.026141	0.022119	0.021351	0.022610	0.023586	0.024930	0.026500	0.027680	0.026800	59

50	0.062747	0.038901	0.026688	0.022876	0.022332	0.023423	0.024654	0.026082	0.027551	0.028795	0.028256	60
51	0.064962	0.040613	0.027600	0.024278	0.023298	0.024756	0.026291	0.027638	0.029189	0.030135	0.029539	61
52	0.067051	0.042379	0.028876	0.025859	0.024922	0.026659	0.028383	0.029548	0.030984	0.031217	0.030483	62
53	0.068371	0.043214	0.030359	0.027016	0.026789	0.028534	0.030328	0.031234	0.032413	0.031160	0.028671	63
54	0.067249	0.043388	0.031069	0.028076	0.028623	0.030464	0.031604	0.031994	0.032262	0.030147	0.022873	64

55	0.066290	0.043601	0.032303	0.029371	0.030355	0.031924	0.032382	0.031766	0.030897	0.029477	--	65
56	0.067807	0.045209	0.034551	0.031368	0.032180	0.032759	0.032270	0.030417	0.029780	--	--	66
57	0.069862	0.047434	0.037268	0.033874	0.033300	0.032751	0.030975	0.029234	--	--	--	67
58	0.072569	0.049831	0.039080	0.035635	0.033538	0.031358	0.029704	--	--	--	--	68
59	0.076010	0.052660	0.040842	0.036032	0.032402	0.029983	--	--	--	--	--	69

60	0.080481	0.055733	0.041911	0.034791	0.030753	--	--	--	--	--	--	70
61	0.087856	0.059639	0.042020	0.033419	--	--	--	--	--	--	--	71
62	0.092948	0.061591	0.041325	--	--	--	--	--	--	--	--	72
63	0.094958	0.062235	--	--	--	--	--	--	--	--	--	73
64	0.091869	--	--	--	--	--	--	--	--	--	--	74

Notes:
(1) Probability of death in a multiple-decrement environment. Select age denotes age last birthday at entitlement.
(2) The quantity at duration t represents the probability of death during the ( t +1) year of entitlement for those lives originally entitled to disability benefits at select age [ x ] and who are currently attained age [ x ]+ t.
(3) Probabilities are read across the row for durations 0-10, and down the ultimate column ("10+") for durations greater than 10.
(4) The probabilities shown have been graduated using the Whittaker-Henderson Type B two-dimensional graduation methodology. See the appendix for details.

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July 30, 1999