WSR 04-22-052

OFFICE OF

INSURANCE COMMISSIONER

[ Filed October 28, 2004, 5:00 p.m. ]

State of Washington

Insurance Commissioner

Olympia

TABLE FOR DETERMINING THE VALUATION OR PRESENT WORTH OF LIFE AND TERM ESTATES OR ANNUITIES AND REMAINDERS OR REVERSIONARY INTERESTS, COMPUTED AT SEVERAL INTEREST RATES, FOR THE USE OF THE COURTS AND APPRAISERS OF WASHINGTON.
Section .02.16 of Chapter seventy-nine (79) of the Laws of 1947 (RCW 48.02.160) provides:
"*** The Commissioner shall: Obtain and publish for the use of courts and appraisers throughout the state, tables showing the average expectancy of life and values of annuities and of life and term estates."
Pursuant to the foregoing provisions, the following tables for determining the present worth of life estates or annuities and remainders or reversionary interests, are hereby published and promulgated for the use of the courts and appraisers of the state, computed on the basis of 2001 United States population mortality and at the respective rates of three and one-half, four, four and one-half, five, five and one-half, and six per cent annual interest.
Tables I.A through I.F give the basis for valuing life estates or annuities, the proceeds of which the beneficiary enjoys during his or her life. These tables are applicable only where continuation of the annuity is dependent upon a single life. Where two or more lives are involved a special calculation will be required, using supplementary factors derived from 2001 United States population mortality.
Tables II.A through II.F relate to term estates or annuities-certain, which are payable irrespective of continuation of life but terminable at the end of a certain period definitely stated in the provisions of the instrument creating the estate.
MIKE KREIDLER,

Insurance Commissioner

TABLE I.A. Single-life, 3 1/2 Per Cent, Showing the Present Worth of a Reversionary Interest and of an Annuity, or Life Interest, on the Basis of 2001 United States Population Mortality

Male Female
x Ax ax ex Ax ax ex
Age nearest birthday Reversion or present value of one dollar due immediately upon death of a person of specified age Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age Expectation of life Reversion or present value of one dollar due immediately upon death of a person of specified age Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age Expectation of life
1 2 3 4 5 6 7
0 0.09846 25.7587 74.44 0.07993 26.2881 79.78
1 0.09498 25.8582 74.00 0.07695 26.3731 79.27
2 0.09778 25.7780 73.04 0.07920 26.3088 78.30
3 0.10086 25.6903 72.07 0.08170 26.2376 77.33
4 0.10412 25.5969 71.09 0.08435 26.1619 76.34
5 0.10754 25.4992 70.10 0.08713 26.0824 75.36
6 0.11114 25.3966 69.12 0.09004 25.9992 74.37
7 0.11487 25.2899 68.13 0.09306 25.9131 73.38
8 0.11876 25.1789 67.14 0.09618 25.8237 72.39
9 0.12277 25.0643 66.15 0.09944 25.7308 71.40
10 0.12692 24.9456 65.16 0.10279 25.6349 70.41
11 0.13121 24.8233 64.17 0.10628 25.5352 69.42
12 0.13563 24.6968 63.18 0.10989 25.4323 68.43
13 0.14020 24.5663 62.20 0.11360 25.3262 67.44
14 0.14489 24.4325 61.21 0.11743 25.2168 66.45
15 0.14968 24.2956 60.23 0.12135 25.1048 65.46
16 0.15452 24.1573 59.26 0.12537 24.9899 64.48
17 0.15933 24.0198 58.30 0.12943 24.8741 63.50
18 0.16411 23.8832 57.35 0.13357 24.7557 62.53
19 0.16883 23.7485 56.42 0.13787 24.6328 61.55
20 0.17358 23.6129 55.50 0.14232 24.5058 60.58
21 0.17851 23.4718 54.57 0.14691 24.3746 59.61
22 0.18351 23.3290 53.66 0.15164 24.2396 58.64
23 0.18875 23.1793 52.73 0.15657 24.0988 57.66
24 0.19422 23.0230 51.80 0.16163 23.9542 56.69
25 0.19989 22.8613 50.88 0.16687 23.8044 55.72
26 0.20582 22.6918 49.94 0.17228 23.6500 54.75
27 0.21191 22.5178 49.01 0.17788 23.4900 53.77
28 0.21826 22.3363 48.07 0.18364 23.3253 52.80
29 0.22480 22.1497 47.14 0.18958 23.1556 51.83
30 0.23160 21.9553 46.20 0.19571 22.9805 50.87
31 0.23860 21.7554 45.27 0.20202 22.8002 49.90
32 0.24587 21.5477 44.33 0.20857 22.6131 48.93
33 0.25336 21.3336 43.40 0.21526 22.4220 47.97
34 0.26102 21.1148 42.46 0.22214 22.2254 47.01
35 0.26889 20.8900 41.54 0.22922 22.0232 46.05
36 0.27692 20.6606 40.61 0.23649 21.8155 45.09
37 0.28522 20.4235 39.69 0.24395 21.6024 44.14
38 0.29365 20.1826 38.77 0.25161 21.3836 43.19
39 0.30227 19.9363 37.86 0.25943 21.1603 42.24
40 0.31114 19.6830 36.95 0.26745 20.9311 41.30
41 0.32020 19.4241 36.05 0.27568 20.6962 40.37
42 0.32951 19.1582 35.15 0.28417 20.4536 39.43
43 0.33902 18.8866 34.25 0.29285 20.2055 38.50
44 0.34868 18.6108 33.36 0.30172 19.9522 37.57
45 0.35852 18.3295 32.48 0.31080 19.6926 36.65
46 0.36856 18.0427 31.61 0.32012 19.4266 35.73
47 0.37882 17.7496 30.73 0.32969 19.1530 34.81
48 0.38919 17.4534 29.87 0.33950 18.8729 33.90
49 0.39975 17.1517 29.02 0.34958 18.5848 32.99
50 0.41054 16.8434 28.17 0.35983 18.2922 32.09
51 0.42153 16.5295 27.33 0.37035 17.9916 31.19
52 0.43283 16.2069 26.49 0.38117 17.6826 30.30
53 0.44431 15.8787 25.66 0.39211 17.3699 29.41
54 0.45613 15.5412 24.82 0.40330 17.0503 28.53
55 0.46787 15.2058 24.01 0.41460 16.7275 27.66
56 0.48014 14.8552 23.19 0.42636 16.3915 26.79
57 0.49231 14.5077 22.40 0.43812 16.0556 25.93
58 0.50461 14.1562 21.61 0.45004 15.7150 25.09
59 0.51682 13.8073 20.84 0.46203 15.3727 24.25
60 0.52952 13.4446 20.07 0.47438 15.0197 23.42
61 0.54204 13.0870 19.32 0.48682 14.6644 22.60
62 0.55479 12.7228 18.58 0.49945 14.3036 21.79
63 0.56751 12.3594 17.85 0.51213 13.9413 21.00
64 0.58031 11.9935 17.13 0.52491 13.5762 20.21
65 0.59312 11.6276 16.43 0.53785 13.2066 19.44
66 0.60593 11.2618 15.75 0.55095 12.8323 18.68
67 0.61887 10.8922 15.07 0.56414 12.4555 17.92
68 0.63170 10.5256 14.41 0.57738 12.0772 17.18
69 0.64452 10.1593 13.77 0.59075 11.6953 16.46
70 0.65728 9.7948 13.14 0.60421 11.3109 15.74
71 0.67009 9.4288 12.52 0.61778 10.9231 15.03
72 0.68283 9.0649 11.92 0.63139 10.5343 14.34
73 0.69537 8.7067 11.34 0.64505 10.1442 13.66
74 0.70770 8.3544 10.77 0.65864 9.7560 13.00
75 0.72004 8.0018 10.22 0.67230 9.3658 12.35
76 0.73214 7.6562 9.69 0.68591 8.9768 11.72
77 0.74412 7.3141 9.17 0.69939 8.5919 11.10
78 0.75596 6.9759 8.67 0.71288 8.2065 10.50
79 0.76748 6.6468 8.19 0.72609 7.8290 9.92
80 0.77868 6.3267 7.73 0.73916 7.4557 9.36
81 0.79004 6.0023 7.27 0.75211 7.0858 8.81
82 0.80022 5.7114 6.87 0.76442 6.7341 8.30
83 0.81115 5.3992 6.44 0.77716 6.3703 7.78
84 0.82093 5.1199 6.06 0.78893 6.0340 7.31
85 0.83038 4.8499 5.70 0.80017 5.7130 6.86
86 0.83937 4.5932 5.36 0.81091 5.4060 6.44
87 0.84789 4.3496 5.05 0.82116 5.1131 6.05
88 0.85596 4.1191 4.75 0.83092 4.8345 5.68
89 0.86358 3.9013 4.47 0.84017 4.5702 5.33
90 0.87077 3.6961 4.21 0.84893 4.3200 5.01
91 0.87753 3.5030 3.97 0.85720 4.0838 4.70
92 0.88388 3.3216 3.75 0.86499 3.8613 4.42
93 0.88982 3.1517 3.54 0.87231 3.6521 4.16
94 0.89539 2.9928 3.34 0.87917 3.4560 3.91
95 0.90058 2.8444 3.16 0.88560 3.2725 3.68
96 0.90542 2.7062 3.00 0.89159 3.1011 3.48
97 0.90992 2.5776 2.85 0.89718 2.9415 3.28
98 0.91410 2.4583 2.70 0.90237 2.7932 3.10
99 0.91797 2.3478 2.57 0.90719 2.6556 2.94
100 0.92154 2.2457 2.45 0.91165 2.5283 2.79
101 0.92483 2.1517 2.34 0.91576 2.4108 2.65
102 0.92786 2.0653 2.24 0.91955 2.3027 2.52
103 0.93063 1.9861 2.15 0.92302 2.2034 2.40
104 0.93315 1.9140 2.07 0.92620 2.1127 2.30
105 0.93545 1.8484 1.99 0.92909 2.0300 2.20
106 0.93752 1.7892 1.93 0.93172 1.9550 2.12
107 0.93938 1.7360 1.87 0.93409 1.8872 2.04
108 0.94104 1.6886 1.81 0.93622 1.8265 1.97
109 0.94251 1.6467 1.77 0.93811 1.7722 1.91
110 0.94379 1.6100 1.72 0.93980 1.7241 1.85
111 0.94491 1.5780 1.69 0.94129 1.6816 1.80
112 0.94589 1.5502 1.66 0.94261 1.6438 1.76
113 0.94676 1.5253 1.63 0.94381 1.6094 1.72
114 0.94760 1.5012 1.60 0.94498 1.5759 1.68
115 0.94856 1.4737 1.57 0.94628 1.5388 1.64
116 0.94993 1.4347 1.52 0.94802 1.4893 1.58
117 0.95228 1.3676 1.44 0.95078 1.4103 1.49
118 0.95674 1.2401 1.30 0.95572 1.2692 1.33
119 0.96554 0.9886 1.02 0.96504 1.0029 1.04

TABLE I.B. Single-life, 4 Per Cent, Showing the Present Worth of a Reversionary Interest and of an Annuity, or Life Interest, on the Basis of 2001 United States Population Mortality

Male Female
x Ax ax ex Ax ax ex
Age nearest birthday Reversion or present value of one dollar due immediately upon death of a person of specified age Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age Expectation of life Reversion or present value of one dollar due immediately upon death of a person of specified age Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age Expectation of life
1 2 3 4 5 6 7
0 0.07518 23.1208 74.44 0.05921 23.5200 79.78
1 0.07106 23.2238 74.00 0.05566 23.6088 79.27
2 0.07337 23.1660 73.04 0.05743 23.5645 78.30
3 0.07595 23.1017 72.07 0.05944 23.5142 77.33
4 0.07871 23.0325 71.09 0.06161 23.4601 76.34
5 0.08163 22.9596 70.10 0.06390 23.4029 75.36
6 0.08472 22.8824 69.12 0.06631 23.3426 74.37
7 0.08795 22.8017 68.13 0.06882 23.2798 73.38
8 0.09133 22.7173 67.14 0.07144 23.2143 72.39
9 0.09483 22.6297 66.15 0.07418 23.1458 71.40
10 0.09847 22.5386 65.16 0.07702 23.0748 70.41
11 0.10225 22.4443 64.17 0.07999 23.0005 69.42
12 0.10617 22.3463 63.18 0.08307 22.9236 68.43
13 0.11023 22.2447 62.20 0.08626 22.8440 67.44
14 0.11441 22.1403 61.21 0.08956 22.7615 66.45
15 0.11870 22.0332 60.23 0.09294 22.6769 65.46
16 0.12303 21.9249 59.26 0.09643 22.5898 64.48
17 0.12733 21.8174 58.30 0.09994 22.5020 63.50
18 0.13160 21.7107 57.35 0.10354 22.4121 62.53
19 0.13579 21.6059 56.42 0.10729 22.3182 61.55
20 0.14001 21.5004 55.50 0.11119 22.2209 60.58
21 0.14442 21.3901 54.57 0.11523 22.1198 59.61
22 0.14890 21.2783 53.66 0.11941 22.0154 58.64
23 0.15361 21.1604 52.73 0.12379 21.9058 57.66
24 0.15857 21.0365 51.80 0.12830 21.7930 56.69
25 0.16373 20.9077 50.88 0.13301 21.6755 55.72
26 0.16916 20.7719 49.94 0.13787 21.5538 54.75
27 0.17476 20.6319 49.01 0.14294 21.4272 53.77
28 0.18063 20.4851 48.07 0.14818 21.2963 52.80
29 0.18670 20.3335 47.14 0.15359 21.1609 51.83
30 0.19304 20.1749 46.20 0.15921 21.0206 50.87
31 0.19960 20.0110 45.27 0.16501 20.8756 49.90
32 0.20644 19.8399 44.33 0.17107 20.7242 48.93
33 0.21353 19.6629 43.40 0.17727 20.5692 47.97
34 0.22079 19.4813 42.46 0.18367 20.4091 47.01
35 0.22828 19.2940 41.54 0.19028 20.2439 46.05
36 0.23596 19.1022 40.61 0.19710 20.0734 45.09
37 0.24392 18.9033 39.69 0.20413 19.8978 44.14
38 0.25203 18.7005 38.77 0.21136 19.7170 43.19
39 0.26035 18.4925 37.86 0.21877 19.5319 42.24
40 0.26894 18.2777 36.95 0.22640 19.3411 41.30
41 0.27776 18.0574 36.05 0.23425 19.1448 40.37
42 0.28684 17.8303 35.15 0.24240 18.9413 39.43
43 0.29616 17.5975 34.25 0.25075 18.7324 38.50
44 0.30564 17.3604 33.36 0.25932 18.5184 37.57
45 0.31535 17.1179 32.48 0.26812 18.2983 36.65
46 0.32527 16.8697 31.61 0.27718 18.0719 35.73
47 0.33546 16.6152 30.73 0.28653 17.8382 34.81
48 0.34577 16.3574 29.87 0.29614 17.5980 33.90
49 0.35632 16.0938 29.02 0.30606 17.3499 32.99
50 0.36713 15.8236 28.17 0.31617 17.0972 32.09
51 0.37818 15.5475 27.33 0.32660 16.8366 31.19
52 0.38957 15.2626 26.49 0.33736 16.5676 30.30
53 0.40120 14.9719 25.66 0.34829 16.2945 29.41
54 0.41321 14.6718 24.82 0.35949 16.0145 28.53
55 0.42517 14.3729 24.01 0.37084 15.7309 27.66
56 0.43773 14.0589 23.19 0.38271 15.4342 26.79
57 0.45021 13.7471 22.40 0.39460 15.1369 25.93
58 0.46286 13.4307 21.61 0.40670 14.8346 25.09
59 0.47545 13.1161 20.84 0.41889 14.5298 24.25
60 0.48860 12.7875 20.07 0.43151 14.2143 23.42
61 0.50158 12.4629 19.32 0.44425 13.8959 22.60
62 0.51485 12.1312 18.58 0.45723 13.5714 21.79
63 0.52813 11.7993 17.85 0.47030 13.2448 21.00
64 0.54153 11.4643 17.13 0.48351 12.9146 20.21
65 0.55498 11.1283 16.43 0.49693 12.5793 19.44
66 0.56845 10.7916 15.75 0.51056 12.2386 18.68
67 0.58210 10.4503 15.07 0.52432 11.8946 17.92
68 0.59568 10.1109 14.41 0.53817 11.5484 17.18
69 0.60928 9.7711 13.77 0.55220 11.1977 16.46
70 0.62285 9.4319 13.14 0.56637 10.8436 15.74
71 0.63651 9.0904 12.52 0.58070 10.4854 15.03
72 0.65013 8.7499 11.92 0.59511 10.1252 14.34
73 0.66357 8.4141 11.34 0.60961 9.7627 13.66
74 0.67681 8.0830 10.77 0.62408 9.4011 13.00
75 0.69010 7.7509 10.22 0.63867 9.0364 12.35
76 0.70316 7.4246 9.69 0.65325 8.6720 11.72
77 0.71611 7.1007 9.17 0.66772 8.3103 11.10
78 0.72895 6.7799 8.67 0.68224 7.9473 10.50
79 0.74147 6.4669 8.19 0.69651 7.5908 9.92
80 0.75367 6.1619 7.73 0.71064 7.2374 9.36
81 0.76607 5.8520 7.27 0.72470 6.8862 8.81
82 0.77719 5.5740 6.87 0.73807 6.5518 8.30
83 0.78918 5.2744 6.44 0.75196 6.2046 7.78
84 0.79991 5.0062 6.06 0.76482 5.8833 7.31
85 0.81030 4.7465 5.70 0.77711 5.5760 6.86
86 0.82020 4.4991 5.36 0.78889 5.2816 6.44
87 0.82960 4.2641 5.05 0.80015 5.0002 6.05
88 0.83851 4.0413 4.75 0.81087 4.7321 5.68
89 0.84694 3.8306 4.47 0.82107 4.4774 5.33
90 0.85490 3.6317 4.21 0.83073 4.2358 5.01
91 0.86240 3.4443 3.97 0.83987 4.0074 4.70
92 0.86944 3.2682 3.75 0.84849 3.7920 4.42
93 0.87605 3.1030 3.54 0.85660 3.5893 4.16
94 0.88224 2.9483 3.34 0.86421 3.3989 3.91
95 0.88803 2.8037 3.16 0.87135 3.2206 3.68
96 0.89342 2.6688 3.00 0.87802 3.0539 3.48
97 0.89844 2.5433 2.85 0.88424 2.8984 3.28
98 0.90311 2.4267 2.70 0.89002 2.7538 3.10
99 0.90743 2.3187 2.57 0.89540 2.6195 2.94
100 0.91143 2.2188 2.45 0.90037 2.4952 2.79
101 0.91511 2.1267 2.34 0.90497 2.3803 2.65
102 0.91850 2.0420 2.24 0.90920 2.2745 2.52
103 0.92160 1.9644 2.15 0.91308 2.1774 2.40
104 0.92444 1.8936 2.07 0.91664 2.0885 2.30
105 0.92701 1.8293 1.99 0.91988 2.0074 2.20
106 0.92934 1.7711 1.93 0.92283 1.9338 2.12
107 0.93143 1.7189 1.87 0.92549 1.8674 2.04
108 0.93329 1.6723 1.81 0.92787 1.8077 1.97
109 0.93494 1.6311 1.77 0.93000 1.7544 1.91
110 0.93638 1.5950 1.72 0.93190 1.7072 1.85
111 0.93764 1.5636 1.69 0.93357 1.6654 1.80
112 0.93874 1.5362 1.66 0.93505 1.6283 1.76
113 0.93971 1.5118 1.63 0.93640 1.5946 1.72
114 0.94066 1.4882 1.60 0.93771 1.5619 1.68
115 0.94173 1.4614 1.57 0.93916 1.5256 1.64
116 0.94325 1.4233 1.52 0.94110 1.4772 1.58
117 0.94588 1.3577 1.44 0.94419 1.3999 1.49
118 0.95089 1.2323 1.30 0.94974 1.2611 1.33
119 0.96083 0.9839 1.02 0.96027 0.9980 1.04

TABLE I.C. Single-life, 4 1/2 Per Cent, Showing the Present Worth of a Reversionary Interest and of an Annuity, or Life Interest, on the Basis of 2001 United States Population Mortality

Male Female
x Ax ax ex Ax ax ex
Age nearest birthday Reversion or present value of one dollar due immediately upon death of a person of specified age Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age Expectation of life Reversion or present value of one dollar due immediately upon death of a person of specified age Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age Expectation of life
1 2 3 4 5 6 7
0 0.05855 20.9214 74.44 0.04482 21.2266 79.78
1 0.05391 21.0245 74.00 0.04081 21.3156 79.27
2 0.05579 20.9827 73.04 0.04218 21.2851 78.30
3 0.05793 20.9351 72.07 0.04379 21.2494 77.33
4 0.06026 20.8833 71.09 0.04554 21.2105 76.34
5 0.06274 20.8283 70.10 0.04741 21.1689 75.36
6 0.06538 20.7696 69.12 0.04940 21.1247 74.37
7 0.06816 20.7079 68.13 0.05148 21.0785 73.38
8 0.07109 20.6429 67.14 0.05366 21.0301 72.39
9 0.07413 20.5752 66.15 0.05596 20.9790 71.40
10 0.07731 20.5046 65.16 0.05834 20.9260 70.41
11 0.08062 20.4310 64.17 0.06086 20.8702 69.42
12 0.08408 20.3543 63.18 0.06347 20.8121 68.43
13 0.08767 20.2744 62.20 0.06619 20.7518 67.44
14 0.09138 20.1921 61.21 0.06901 20.6891 66.45
15 0.09519 20.1074 60.23 0.07191 20.6245 65.46
16 0.09905 20.0217 59.26 0.07491 20.5580 64.48
17 0.10287 19.9368 58.30 0.07793 20.4909 63.50
18 0.10665 19.8529 57.35 0.08102 20.4222 62.53
19 0.11034 19.7709 56.42 0.08427 20.3500 61.55
20 0.11405 19.6883 55.50 0.08766 20.2748 60.58
21 0.11796 19.6015 54.57 0.09119 20.1964 59.61
22 0.12192 19.5135 53.66 0.09485 20.1151 58.64
23 0.12613 19.4201 52.73 0.09871 20.0293 57.66
24 0.13057 19.3213 51.80 0.10270 19.9406 56.69
25 0.13522 19.2181 50.88 0.10687 19.8478 55.72
26 0.14015 19.1087 49.94 0.11121 19.7514 54.75
27 0.14524 18.9955 49.01 0.11576 19.6505 53.77
28 0.15062 18.8760 48.07 0.12047 19.5458 52.80
29 0.15619 18.7523 47.14 0.12536 19.4371 51.83
30 0.16205 18.6220 46.20 0.13045 19.3240 50.87
31 0.16813 18.4870 45.27 0.13574 19.2066 49.90
32 0.17451 18.3453 44.33 0.14128 19.0835 48.93
33 0.18113 18.1980 43.40 0.14697 18.9571 47.97
34 0.18795 18.0466 42.46 0.15287 18.8259 47.01
35 0.19501 17.8898 41.54 0.15898 18.6901 46.05
36 0.20226 17.7287 40.61 0.16532 18.5494 45.09
37 0.20981 17.5609 39.69 0.17186 18.4041 44.14
38 0.21753 17.3894 38.77 0.17862 18.2539 43.19
39 0.22547 17.2130 37.86 0.18556 18.0996 42.24
40 0.23371 17.0300 36.95 0.19275 17.9401 41.30
41 0.24218 16.8418 36.05 0.20016 17.7753 40.37
42 0.25095 16.6470 35.15 0.20788 17.6038 39.43
43 0.25997 16.4466 34.25 0.21583 17.4271 38.50
44 0.26917 16.2420 33.36 0.22400 17.2456 37.57
45 0.27863 16.0320 32.48 0.23244 17.0583 36.65
46 0.28833 15.8166 31.61 0.24114 16.8649 35.73
47 0.29831 15.5948 30.73 0.25016 16.6644 34.81
48 0.30845 15.3695 29.87 0.25947 16.4576 33.90
49 0.31884 15.1386 29.02 0.26912 16.2432 32.99
50 0.32954 14.9009 28.17 0.27898 16.0242 32.09
51 0.34050 14.6574 27.33 0.28918 15.7975 31.19
52 0.35185 14.4052 26.49 0.29976 15.5625 30.30
53 0.36348 14.1469 25.66 0.31053 15.3233 29.41
54 0.37553 13.8792 24.82 0.32160 15.0773 28.53
55 0.38755 13.6122 24.01 0.33286 14.8273 27.66
56 0.40024 13.3302 23.19 0.34468 14.5645 26.79
57 0.41287 13.0497 22.40 0.35656 14.3007 25.93
58 0.42571 12.7643 21.61 0.36867 14.0316 25.09
59 0.43851 12.4799 20.84 0.38091 13.7597 24.25
60 0.45194 12.1816 20.07 0.39363 13.4770 23.42
61 0.46523 11.8863 19.32 0.40651 13.1908 22.60
62 0.47886 11.5836 18.58 0.41968 12.8984 21.79
63 0.49252 11.2800 17.85 0.43296 12.6032 21.00
64 0.50636 10.9727 17.13 0.44643 12.3040 20.21
65 0.52027 10.6636 16.43 0.46015 11.9992 19.44
66 0.53424 10.3531 15.75 0.47413 11.6886 18.68
67 0.54845 10.0375 15.07 0.48829 11.3740 17.92
68 0.56261 9.7229 14.41 0.50258 11.0565 17.18
69 0.57683 9.4070 13.77 0.51710 10.7339 16.46
70 0.59105 9.0910 13.14 0.53180 10.4074 15.74
71 0.60541 8.7719 12.52 0.54672 10.0760 15.03
72 0.61977 8.4530 11.92 0.56176 9.7418 14.34
73 0.63396 8.1378 11.34 0.57694 9.4045 13.66
74 0.64798 7.8263 10.77 0.59213 9.0671 13.00
75 0.66208 7.5130 10.22 0.60748 8.7260 12.35
76 0.67596 7.2046 9.69 0.62287 8.3841 11.72
77 0.68977 6.8979 9.17 0.63818 8.0440 11.10
78 0.70348 6.5931 8.67 0.65359 7.7017 10.50
79 0.71689 6.2954 8.19 0.66876 7.3646 9.92
80 0.72997 6.0046 7.73 0.68383 7.0297 9.36
81 0.74331 5.7082 7.27 0.69885 6.6961 8.81
82 0.75528 5.4424 6.87 0.71317 6.3779 8.30
83 0.76823 5.1546 6.44 0.72810 6.0463 7.78
84 0.77983 4.8970 6.06 0.74193 5.7391 7.31
85 0.79108 4.6470 5.70 0.75518 5.4447 6.86
86 0.80182 4.4085 5.36 0.76789 5.1621 6.44
87 0.81203 4.1816 5.05 0.78007 4.8917 6.05
88 0.82172 3.9662 4.75 0.79169 4.6336 5.68
89 0.83091 3.7622 4.47 0.80275 4.3879 5.33
90 0.83959 3.5694 4.21 0.81325 4.1546 5.01
91 0.84777 3.3875 3.97 0.82319 3.9337 4.70
92 0.85547 3.2164 3.75 0.83258 3.7250 4.42
93 0.86271 3.0557 3.54 0.84143 3.5284 4.16
94 0.86949 2.9050 3.34 0.84975 3.3435 3.91
95 0.87583 2.7640 3.16 0.85756 3.1702 3.68
96 0.88176 2.6325 3.00 0.86486 3.0079 3.48
97 0.88727 2.5099 2.85 0.87167 2.8565 3.28
98 0.89240 2.3959 2.70 0.87802 2.7154 3.10
99 0.89716 2.2903 2.57 0.88392 2.5843 2.94
100 0.90156 2.1925 2.45 0.88939 2.4629 2.79
101 0.90562 2.1023 2.34 0.89445 2.3506 2.65
102 0.90936 2.0193 2.24 0.89911 2.2471 2.52
103 0.91278 1.9432 2.15 0.90339 2.1519 2.40
104 0.91591 1.8737 2.07 0.90731 2.0648 2.30
105 0.91875 1.8105 1.99 0.91089 1.9853 2.20
106 0.92132 1.7534 1.93 0.91414 1.9131 2.12
107 0.92363 1.7021 1.87 0.91707 1.8479 2.04
108 0.92570 1.6563 1.81 0.91971 1.7893 1.97
109 0.92752 1.6158 1.77 0.92206 1.7370 1.91
110 0.92912 1.5803 1.72 0.92415 1.6906 1.85
111 0.93051 1.5494 1.69 0.92600 1.6496 1.80
112 0.93172 1.5225 1.66 0.92764 1.6132 1.76
113 0.93280 1.4986 1.63 0.92913 1.5801 1.72
114 0.93383 1.4755 1.60 0.93057 1.5480 1.68
115 0.93501 1.4494 1.57 0.93216 1.5126 1.64
116 0.93669 1.4121 1.52 0.93429 1.4653 1.58
117 0.93958 1.3479 1.44 0.93770 1.3896 1.49
118 0.94513 1.2246 1.30 0.94384 1.2531 1.33
119 0.95618 0.9791 1.02 0.95554 0.9932 1.04

TABLE I.D. Single-life, 5 Per Cent, Showing the Present Worth of a Reversionary Interest and of an Annuity, or Life Interest, on the Basis of 2001 United States Population Mortality

Male Female
x Ax ax ex Ax ax ex
Age nearest birthday Reversion or present value of one dollar due immediately upon death of a person of specified age Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age Expectation of life Reversion or present value of one dollar due immediately upon death of a person of specified age Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age Expectation of life
1 2 3 4 5 6 7
0 0.04655 19.0692 74.44 0.03473 19.3056 79.78
1 0.04149 19.1704 74.00 0.03036 19.3930 79.27
2 0.04302 19.1399 73.04 0.03141 19.3720 78.30
3 0.04479 19.1044 72.07 0.03269 19.3465 77.33
4 0.04675 19.0653 71.09 0.03410 19.3182 76.34
5 0.04885 19.0233 70.10 0.03562 19.2878 75.36
6 0.05111 18.9782 69.12 0.03726 19.2551 74.37
7 0.05349 18.9304 68.13 0.03897 19.2208 73.38
8 0.05602 18.8798 67.14 0.04079 19.1845 72.39
9 0.05867 18.8269 66.15 0.04270 19.1462 71.40
10 0.06145 18.7714 65.16 0.04471 19.1061 70.41
11 0.06435 18.7134 64.17 0.04683 19.0638 69.42
12 0.06739 18.6527 63.18 0.04904 19.0195 68.43
13 0.07056 18.5892 62.20 0.05135 18.9733 67.44
14 0.07385 18.5235 61.21 0.05376 18.9251 66.45
15 0.07723 18.4558 60.23 0.05624 18.8755 65.46
16 0.08066 18.3873 59.26 0.05881 18.8242 64.48
17 0.08404 18.3197 58.30 0.06139 18.7726 63.50
18 0.08737 18.2531 57.35 0.06404 18.7196 62.53
19 0.09060 18.1885 56.42 0.06684 18.6637 61.55
20 0.09385 18.1235 55.50 0.06976 18.6052 60.58
21 0.09729 18.0548 54.57 0.07282 18.5439 59.61
22 0.10077 17.9852 53.66 0.07601 18.4802 58.64
23 0.10449 17.9108 52.73 0.07940 18.4126 57.66
24 0.10846 17.8315 51.80 0.08290 18.3424 56.69
25 0.11261 17.7484 50.88 0.08659 18.2687 55.72
26 0.11705 17.6597 49.94 0.09044 18.1917 54.75
27 0.12166 17.5676 49.01 0.09449 18.1108 53.77
28 0.12655 17.4699 48.07 0.09870 18.0265 52.80
29 0.13163 17.3683 47.14 0.10310 17.9387 51.83
30 0.13701 17.2607 46.20 0.10768 17.8470 50.87
31 0.14260 17.1488 45.27 0.11247 17.7514 49.90
32 0.14850 17.0308 44.33 0.11751 17.6506 48.93
33 0.15466 16.9077 43.40 0.12269 17.5469 47.97
34 0.16102 16.7806 42.46 0.12809 17.4389 47.01
35 0.16762 16.6487 41.54 0.13371 17.3266 46.05
36 0.17442 16.5128 40.61 0.13954 17.2100 45.09
37 0.18153 16.3705 39.69 0.14559 17.0890 44.14
38 0.18882 16.2249 38.77 0.15187 16.9636 43.19
39 0.19634 16.0745 37.86 0.15833 16.8344 42.24
40 0.20416 15.9180 36.95 0.16504 16.7003 41.30
41 0.21224 15.7564 36.05 0.17198 16.5614 40.37
42 0.22064 15.5886 35.15 0.17924 16.4162 39.43
43 0.22930 15.4155 34.25 0.18675 16.2662 38.50
44 0.23816 15.2383 33.36 0.19448 16.1115 37.57
45 0.24728 15.0558 32.48 0.20249 15.9514 36.65
46 0.25668 14.8680 31.61 0.21079 15.7855 35.73
47 0.26638 14.6741 30.73 0.21942 15.6129 34.81
48 0.27625 14.4767 29.87 0.22836 15.4343 33.90
49 0.28641 14.2736 29.02 0.23766 15.2483 32.99
50 0.29689 14.0640 28.17 0.24718 15.0579 32.09
51 0.30767 13.8485 27.33 0.25708 14.8599 31.19
52 0.31887 13.6245 26.49 0.26738 14.6540 30.30
53 0.33038 13.3944 25.66 0.27789 14.4438 29.41
54 0.34236 13.1550 24.82 0.28875 14.2269 28.53
55 0.35432 12.9158 24.01 0.29980 14.0059 27.66
56 0.36701 12.6620 23.19 0.31147 13.7725 26.79
57 0.37967 12.4090 22.40 0.32321 13.5378 25.93
58 0.39257 12.1509 21.61 0.33522 13.2976 25.09
59 0.40546 11.8933 20.84 0.34739 13.0543 24.25
60 0.41904 11.6218 20.07 0.36009 12.8004 23.42
61 0.43250 11.3527 19.32 0.37298 12.5427 22.60
62 0.44634 11.0758 18.58 0.38619 12.2785 21.79
63 0.46026 10.7976 17.85 0.39956 12.0112 21.00
64 0.47439 10.5151 17.13 0.41315 11.7395 20.21
65 0.48863 10.2304 16.43 0.42704 11.4619 19.44
66 0.50297 9.9436 15.75 0.44123 11.1781 18.68
67 0.51760 9.6512 15.07 0.45564 10.8899 17.92
68 0.53220 9.3591 14.41 0.47023 10.5983 17.18
69 0.54691 9.0651 13.77 0.48509 10.3012 16.46
70 0.56165 8.7703 13.14 0.50018 9.9995 15.74
71 0.57658 8.4718 12.52 0.51553 9.6925 15.03
72 0.59154 8.1728 11.92 0.53107 9.3819 14.34
73 0.60636 7.8766 11.34 0.54678 9.0678 13.66
74 0.62103 7.5833 10.77 0.56254 8.7526 13.00
75 0.63582 7.2875 10.22 0.57852 8.4331 12.35
76 0.65041 6.9957 9.69 0.59458 8.1120 11.72
77 0.66496 6.7048 9.17 0.61059 7.7919 11.10
78 0.67945 6.4151 8.67 0.62676 7.4687 10.50
79 0.69363 6.1316 8.19 0.64271 7.1498 9.92
80 0.70751 5.8541 7.73 0.65859 6.8322 9.36
81 0.72169 5.5706 7.27 0.67446 6.5149 8.81
82 0.73442 5.3161 6.87 0.68962 6.2118 8.30
83 0.74825 5.0396 6.44 0.70547 5.8949 7.78
84 0.76063 4.7920 6.06 0.72017 5.6009 7.31
85 0.77268 4.5512 5.70 0.73429 5.3188 6.86
86 0.78418 4.3211 5.36 0.74786 5.0475 6.44
87 0.79514 4.1020 5.05 0.76087 4.7873 6.05
88 0.80557 3.8936 4.75 0.77330 4.5386 5.68
89 0.81545 3.6960 4.47 0.78516 4.3016 5.33
90 0.82480 3.5090 4.21 0.79644 4.0761 5.01
91 0.83363 3.3325 3.97 0.80713 3.8624 4.70
92 0.84195 3.1661 3.75 0.81724 3.6602 4.42
93 0.84978 3.0097 3.54 0.82678 3.4694 4.16
94 0.85712 2.8629 3.34 0.83576 3.2898 3.91
95 0.86399 2.7255 3.16 0.84420 3.1212 3.68
96 0.87041 2.5971 3.00 0.85210 2.9633 3.48
97 0.87640 2.4773 2.85 0.85948 2.8157 3.28
98 0.88197 2.3659 2.70 0.86636 2.6781 3.10
99 0.88714 2.2625 2.57 0.87276 2.5501 2.94
100 0.89193 2.1668 2.45 0.87870 2.4314 2.79
101 0.89635 2.0784 2.34 0.88419 2.3216 2.65
102 0.90042 1.9971 2.24 0.88926 2.2202 2.52
103 0.90415 1.9224 2.15 0.89392 2.1271 2.40
104 0.90757 1.8542 2.07 0.89819 2.0417 2.30
105 0.91067 1.7922 1.99 0.90209 1.9637 2.20
106 0.91347 1.7361 1.93 0.90563 1.8929 2.12
107 0.91600 1.6856 1.87 0.90883 1.8289 2.04
108 0.91825 1.6406 1.81 0.91171 1.7713 1.97
109 0.92024 1.6008 1.77 0.91428 1.7199 1.91
110 0.92199 1.5659 1.72 0.91656 1.6743 1.85
111 0.92351 1.5355 1.69 0.91858 1.6340 1.80
112 0.92483 1.5091 1.66 0.92037 1.5983 1.76
113 0.92600 1.4856 1.63 0.92199 1.5658 1.72
114 0.92713 1.4630 1.60 0.92356 1.5345 1.68
115 0.92841 1.4375 1.57 0.92529 1.4999 1.64
116 0.93023 1.4011 1.52 0.92760 1.4537 1.58
117 0.93338 1.3382 1.44 0.93131 1.3795 1.49
118 0.93944 1.2170 1.30 0.93803 1.2452 1.33
119 0.95157 0.9744 1.02 0.95087 0.9884 1.04

TABLE I.E. Single-life, 5 1/2 Per Cent, Showing the Present Worth of a Reversionary Interest and of an Annuity, or Life Interest, on the Basis of 2001 United States Population Mortality

Male Female
x Ax ax ex Ax ax ex
Age nearest birthday Reversion or present value of one dollar due immediately upon death of a person of specified age Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age Expectation of life Reversion or present value of one dollar due immediately upon death of a person of specified age Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age Expectation of life
1 2 3 4 5 6 7
0 0.03781 17.4946 74.44 0.02760 17.6803 79.78
1 0.03242 17.5926 74.00 0.02295 17.7647 79.27
2 0.03364 17.5704 73.04 0.02374 17.7504 78.30
3 0.03511 17.5436 72.07 0.02474 17.7321 77.33
4 0.03676 17.5137 71.09 0.02588 17.7114 76.34
5 0.03854 17.4813 70.10 0.02712 17.6889 75.36
6 0.04047 17.4462 69.12 0.02846 17.6645 74.37
7 0.04253 17.4089 68.13 0.02988 17.6387 73.38
8 0.04472 17.3690 67.14 0.03139 17.6114 72.39
9 0.04702 17.3272 66.15 0.03299 17.5822 71.40
10 0.04945 17.2831 65.16 0.03467 17.5517 70.41
11 0.05199 17.2368 64.17 0.03646 17.5191 69.42
12 0.05467 17.1881 63.18 0.03834 17.4850 68.43
13 0.05748 17.1370 62.20 0.04030 17.4493 67.44
14 0.06040 17.0841 61.21 0.04236 17.4119 66.45
15 0.06341 17.0293 60.23 0.04448 17.3734 65.46
16 0.06645 16.9740 59.26 0.04668 17.3334 64.48
17 0.06944 16.9197 58.30 0.04888 17.2934 63.50
18 0.07238 16.8664 57.35 0.05114 17.2523 62.53
19 0.07520 16.8151 56.42 0.05354 17.2087 61.55
20 0.07803 16.7636 55.50 0.05606 17.1629 60.58
21 0.08104 16.7089 54.57 0.05872 17.1147 59.61
22 0.08408 16.6536 53.66 0.06148 17.0644 58.64
23 0.08737 16.5939 52.73 0.06444 17.0106 57.66
24 0.09088 16.5301 51.80 0.06751 16.9548 56.69
25 0.09458 16.4628 50.88 0.07076 16.8957 55.72
26 0.09857 16.3903 49.94 0.07416 16.8339 54.75
27 0.10271 16.3150 49.01 0.07776 16.7686 53.77
28 0.10714 16.2346 48.07 0.08151 16.7003 52.80
29 0.11175 16.1507 47.14 0.08544 16.6289 51.83
30 0.11666 16.0614 46.20 0.08956 16.5540 50.87
31 0.12180 15.9682 45.27 0.09387 16.4757 49.90
32 0.12723 15.8693 44.33 0.09844 16.3927 48.93
33 0.13293 15.7658 43.40 0.10315 16.3071 47.97
34 0.13882 15.6587 42.46 0.10807 16.2177 47.01
35 0.14496 15.5471 41.54 0.11320 16.1244 46.05
36 0.15131 15.4318 40.61 0.11855 16.0271 45.09
37 0.15797 15.3106 39.69 0.12412 15.9259 44.14
38 0.16481 15.1863 38.77 0.12992 15.8206 43.19
39 0.17190 15.0576 37.86 0.13590 15.7119 42.24
40 0.17929 14.9231 36.95 0.14212 15.5987 41.30
41 0.18696 14.7839 36.05 0.14860 15.4811 40.37
42 0.19494 14.6388 35.15 0.15539 15.3576 39.43
43 0.20320 14.4886 34.25 0.16243 15.2296 38.50
44 0.21168 14.3345 33.36 0.16971 15.0973 37.57
45 0.22044 14.1753 32.48 0.17727 14.9599 36.65
46 0.22948 14.0111 31.61 0.18513 14.8170 35.73
47 0.23884 13.8409 30.73 0.19334 14.6679 34.81
48 0.24839 13.6673 29.87 0.20186 14.5130 33.90
49 0.25824 13.4882 29.02 0.21077 14.3511 32.99
50 0.26845 13.3027 28.17 0.21991 14.1849 32.09
51 0.27897 13.1115 27.33 0.22945 14.0115 31.19
52 0.28995 12.9120 26.49 0.23942 13.8304 30.30
53 0.30126 12.7064 25.66 0.24961 13.6451 29.41
54 0.31307 12.4917 24.82 0.26017 13.4533 28.53
55 0.32489 12.2769 24.01 0.27094 13.2574 27.66
56 0.33750 12.0478 23.19 0.28238 13.0495 26.79
57 0.35008 11.8191 22.40 0.29391 12.8400 25.93
58 0.36295 11.5852 21.61 0.30573 12.6251 25.09
59 0.37582 11.3513 20.84 0.31774 12.4069 24.25
60 0.38944 11.1037 20.07 0.33032 12.1783 23.42
61 0.40296 10.8580 19.32 0.34311 11.9457 22.60
62 0.41692 10.6043 18.58 0.35627 11.7065 21.79
63 0.43097 10.3488 17.85 0.36962 11.4639 21.00
64 0.44528 10.0888 17.13 0.38322 11.2167 20.21
65 0.45974 9.8260 16.43 0.39716 10.9634 19.44
66 0.47434 9.5607 15.75 0.41145 10.7036 18.68
67 0.48926 9.2894 15.07 0.42600 10.4392 17.92
68 0.50421 9.0178 14.41 0.44076 10.1709 17.18
69 0.51928 8.7438 13.77 0.45585 9.8967 16.46
70 0.53443 8.4684 13.14 0.47120 9.6176 15.74
71 0.54982 8.1888 12.52 0.48688 9.3327 15.03
72 0.56527 7.9080 11.92 0.50277 9.0439 14.34
73 0.58060 7.6293 11.34 0.51890 8.7508 13.66
74 0.59581 7.3528 10.77 0.53511 8.4561 13.00
75 0.61119 7.0733 10.22 0.55160 8.1565 12.35
76 0.62640 6.7970 9.69 0.56821 7.8546 11.72
77 0.64159 6.5209 9.17 0.58481 7.5529 11.10
78 0.65675 6.2453 8.67 0.60161 7.2474 10.50
79 0.67162 5.9751 8.19 0.61823 6.9455 9.92
80 0.68619 5.7102 7.73 0.63482 6.6440 9.36
81 0.70113 5.4386 7.27 0.65143 6.3420 8.81
82 0.71454 5.1949 6.87 0.66732 6.0532 8.30
83 0.72916 4.9292 6.44 0.68400 5.7501 7.78
84 0.74227 4.6909 6.06 0.69949 5.4685 7.31
85 0.75504 4.4589 5.70 0.71438 5.1979 6.86
86 0.76725 4.2369 5.36 0.72872 4.9372 6.44
87 0.77891 4.0251 5.05 0.74249 4.6869 6.05
88 0.79000 3.8234 4.75 0.75568 4.4472 5.68
89 0.80054 3.6320 4.47 0.76828 4.2183 5.33
90 0.81052 3.4505 4.21 0.78027 4.0003 5.01
91 0.81995 3.2790 3.97 0.79165 3.7934 4.70
92 0.82886 3.1173 3.75 0.80244 3.5974 4.42
93 0.83723 2.9650 3.54 0.81263 3.4122 4.16
94 0.84510 2.8220 3.34 0.82223 3.2377 3.91
95 0.85248 2.6879 3.16 0.83125 3.0737 3.68
96 0.85938 2.5626 3.00 0.83972 2.9199 3.48
97 0.86581 2.4456 2.85 0.84763 2.7760 3.28
98 0.87181 2.3366 2.70 0.85502 2.6417 3.10
99 0.87737 2.2355 2.57 0.86190 2.5167 2.94
100 0.88253 2.1417 2.45 0.86828 2.4007 2.79
101 0.88730 2.0551 2.34 0.87419 2.2932 2.65
102 0.89169 1.9753 2.24 0.87965 2.1940 2.52
103 0.89571 1.9021 2.15 0.88467 2.1028 2.40
104 0.89940 1.8352 2.07 0.88928 2.0190 2.30
105 0.90275 1.7742 1.99 0.89349 1.9426 2.20
106 0.90578 1.7191 1.93 0.89731 1.8731 2.12
107 0.90851 1.6695 1.87 0.90077 1.8102 2.04
108 0.91095 1.6252 1.81 0.90388 1.7537 1.97
109 0.91310 1.5861 1.77 0.90666 1.7032 1.91
110 0.91499 1.5517 1.72 0.90912 1.6584 1.85
111 0.91664 1.5219 1.69 0.91130 1.6188 1.80
112 0.91806 1.4959 1.66 0.91323 1.5837 1.76
113 0.91933 1.4728 1.63 0.91498 1.5519 1.72
114 0.92055 1.4507 1.60 0.91667 1.5211 1.68
115 0.92192 1.4258 1.57 0.91854 1.4873 1.64
116 0.92387 1.3903 1.52 0.92102 1.4421 1.58
117 0.92726 1.3287 1.44 0.92502 1.3695 1.49
118 0.93382 1.2095 1.30 0.93228 1.2374 1.33
119 0.94701 0.9698 1.02 0.94625 0.9836 1.04

TABLE I.F. Single-life, 6 Per Cent, Showing the Present Worth of a Reversionary Interest and of an Annuity, or Life Interest, on the Basis of 2001 United States Population Mortality

Male Female
x Ax ax ex Ax ax ex
Age nearest birthday Reversion or present value of one dollar due immediately upon death of a person of specified age Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age Expectation of life Reversion or present value of one dollar due immediately upon death of a person of specified age Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age Expectation of life
1 2 3 4 5 6 7
0 0.03138 16.1439 74.44 0.02250 16.2918 79.78
1 0.02572 16.2382 74.00 0.01764 16.3728 79.27
2 0.02670 16.2219 73.04 0.01822 16.3631 78.30
3 0.02792 16.2016 72.07 0.01901 16.3499 77.33
4 0.02930 16.1785 71.09 0.01993 16.3347 76.34
5 0.03082 16.1533 70.10 0.02094 16.3179 75.36
6 0.03248 16.1256 69.12 0.02204 16.2994 74.37
7 0.03425 16.0960 68.13 0.02322 16.2799 73.38
8 0.03616 16.0643 67.14 0.02447 16.2590 72.39
9 0.03817 16.0308 66.15 0.02582 16.2366 71.40
10 0.04030 15.9953 65.16 0.02723 16.2130 70.41
11 0.04254 15.9580 64.17 0.02875 16.1878 69.42
12 0.04491 15.9185 63.18 0.03034 16.1612 68.43
13 0.04740 15.8769 62.20 0.03201 16.1333 67.44
14 0.05000 15.8337 61.21 0.03377 16.1040 66.45
15 0.05268 15.7890 60.23 0.03559 16.0738 65.46
16 0.05539 15.7438 59.26 0.03747 16.0424 64.48
17 0.05804 15.6997 58.30 0.03935 16.0111 63.50
18 0.06063 15.6567 57.35 0.04128 15.9790 62.53
19 0.06309 15.6156 56.42 0.04334 15.9447 61.55
20 0.06555 15.5747 55.50 0.04551 15.9085 60.58
21 0.06818 15.5308 54.57 0.04780 15.8703 59.61
22 0.07083 15.4866 53.66 0.05020 15.8303 58.64
23 0.07372 15.4386 52.73 0.05278 15.7873 57.66
24 0.07683 15.3868 51.80 0.05547 15.7425 56.69
25 0.08012 15.3319 50.88 0.05833 15.6949 55.72
26 0.08368 15.2725 49.94 0.06133 15.6449 54.75
27 0.08740 15.2106 49.01 0.06452 15.5918 53.77
28 0.09140 15.1440 48.07 0.06786 15.5362 52.80
29 0.09558 15.0743 47.14 0.07137 15.4778 51.83
30 0.10006 14.9998 46.20 0.07506 15.4162 50.87
31 0.10475 14.9216 45.27 0.07894 15.3517 49.90
32 0.10974 14.8384 44.33 0.08306 15.2829 48.93
33 0.11500 14.7509 43.40 0.08733 15.2118 47.97
34 0.12044 14.6602 42.46 0.09180 15.1373 47.01
35 0.12614 14.5652 41.54 0.09648 15.0593 46.05
36 0.13204 14.4670 40.61 0.10138 14.9778 45.09
37 0.13826 14.3633 39.69 0.10649 14.8927 44.14
38 0.14466 14.2567 38.77 0.11182 14.8038 43.19
39 0.15131 14.1460 37.86 0.11734 14.7119 42.24
40 0.15827 14.0299 36.95 0.12310 14.6159 41.30
41 0.16551 13.9094 36.05 0.12911 14.5158 40.37
42 0.17307 13.7834 35.15 0.13544 14.4103 39.43
43 0.18093 13.6526 34.25 0.14202 14.3007 38.50
44 0.18900 13.5180 33.36 0.14884 14.1870 37.57
45 0.19736 13.3787 32.48 0.15595 14.0686 36.65
46 0.20602 13.2345 31.61 0.16336 13.9451 35.73
47 0.21501 13.0847 30.73 0.17113 13.8157 34.81
48 0.22421 12.9315 29.87 0.17923 13.6809 33.90
49 0.23372 12.7731 29.02 0.18771 13.5395 32.99
50 0.24360 12.6085 28.17 0.19645 13.3939 32.09
51 0.25381 12.4383 27.33 0.20560 13.2415 31.19
52 0.26451 12.2601 26.49 0.21519 13.0818 30.30
53 0.27556 12.0759 25.66 0.22502 12.9180 29.41
54 0.28716 11.8828 24.82 0.23524 12.7477 28.53
55 0.29877 11.6894 24.01 0.24569 12.5736 27.66
56 0.31121 11.4821 23.19 0.25684 12.3879 26.79
57 0.32364 11.2750 22.40 0.26809 12.2005 25.93
58 0.33640 11.0624 21.61 0.27966 12.0076 25.09
59 0.34918 10.8496 20.84 0.29144 11.8115 24.25
60 0.36276 10.6234 20.07 0.30382 11.6052 23.42
61 0.37625 10.3985 19.32 0.31645 11.3947 22.60
62 0.39023 10.1657 18.58 0.32948 11.1777 21.79
63 0.40434 9.9307 17.85 0.34272 10.9571 21.00
64 0.41874 9.6908 17.13 0.35625 10.7317 20.21
65 0.43332 9.4479 16.43 0.37016 10.5001 19.44
66 0.44807 9.2020 15.75 0.38445 10.2619 18.68
67 0.46320 8.9500 15.07 0.39904 10.0188 17.92
68 0.47838 8.6971 14.41 0.41389 9.7716 17.18
69 0.49373 8.4414 13.77 0.42909 9.5183 16.46
70 0.50920 8.1838 13.14 0.44462 9.2597 15.74
71 0.52494 7.9216 12.52 0.46050 8.9949 15.03
72 0.54078 7.6576 11.92 0.47666 8.7258 14.34
73 0.55653 7.3952 11.34 0.49309 8.4521 13.66
74 0.57220 7.1342 10.77 0.50965 8.1762 13.00
75 0.58807 6.8698 10.22 0.52654 7.8949 12.35
76 0.60379 6.6078 9.69 0.54359 7.6108 11.72
77 0.61954 6.3456 9.17 0.56068 7.3262 11.10
78 0.63528 6.0833 8.67 0.57802 7.0373 10.50
79 0.65075 5.8255 8.19 0.59520 6.7510 9.92
80 0.66595 5.5724 7.73 0.61239 6.4646 9.36
81 0.68157 5.3122 7.27 0.62966 6.1769 8.81
82 0.69559 5.0786 6.87 0.64620 5.9014 8.30
83 0.71093 4.8229 6.44 0.66361 5.6113 7.78
84 0.72470 4.5936 6.06 0.67980 5.3416 7.31
85 0.73813 4.3699 5.70 0.69539 5.0819 6.86
86 0.75099 4.1556 5.36 0.71044 4.8312 6.44
87 0.76329 3.9508 5.05 0.72491 4.5902 6.05
88 0.77501 3.7555 4.75 0.73878 4.3590 5.68
89 0.78615 3.5699 4.47 0.75205 4.1379 5.33
90 0.79672 3.3939 4.21 0.76471 3.9271 5.01
91 0.80672 3.2272 3.97 0.77674 3.7267 4.70
92 0.81617 3.0698 3.75 0.78815 3.5366 4.42
93 0.82507 2.9216 3.54 0.79894 3.3568 4.16
94 0.83343 2.7822 3.34 0.80912 3.1872 3.91
95 0.84129 2.6514 3.16 0.81871 3.0275 3.68
96 0.84863 2.5289 3.00 0.82770 2.8777 3.48
97 0.85550 2.4146 2.85 0.83612 2.7374 3.28
98 0.86189 2.3081 2.70 0.84399 2.6063 3.10
99 0.86784 2.2090 2.57 0.85132 2.4842 2.94
100 0.87335 2.1172 2.45 0.85813 2.3707 2.79
101 0.87845 2.0323 2.34 0.86444 2.2656 2.65
102 0.88314 1.9541 2.24 0.87027 2.1685 2.52
103 0.88746 1.8822 2.15 0.87564 2.0790 2.40
104 0.89140 1.8165 2.07 0.88057 1.9969 2.30
105 0.89499 1.7566 1.99 0.88507 1.9219 2.20
106 0.89825 1.7024 1.93 0.88917 1.8537 2.12
107 0.90117 1.6537 1.87 0.89287 1.7920 2.04
108 0.90378 1.6102 1.81 0.89621 1.7364 1.97
109 0.90610 1.5716 1.77 0.89918 1.6868 1.91
110 0.90813 1.5378 1.72 0.90183 1.6428 1.85
111 0.90989 1.5085 1.69 0.90417 1.6038 1.80
112 0.91142 1.4829 1.66 0.90624 1.5693 1.76
113 0.91278 1.4603 1.63 0.90811 1.5381 1.72
114 0.91408 1.4386 1.60 0.90992 1.5080 1.68
115 0.91554 1.4143 1.57 0.91190 1.4750 1.64
116 0.91762 1.3796 1.52 0.91455 1.4308 1.58
117 0.92125 1.3193 1.44 0.91882 1.3596 1.49
118 0.92828 1.2021 1.30 0.92662 1.2297 1.33
119 0.94250 0.9652 1.02 0.94167 0.9789 1.04

TABLE II.A. Present Value of Reversions and Annuities-Certain Upon a 3 1/2 Per Cent Basis

n vn an
Number of years Present worth of one dollar payable at the end of a certain number of years Present worth of an annuity of one dollar payable at the end of each year, for a certain number of years
1 2 3
Reversion Annuity
1 0.966184 0.9662
2 0.933511 1.8997
3 0.901943 2.8016
4 0.871442 3.6731
5 0.841973 4.5151
6 0.813501 5.3286
7 0.785991 6.1145
8 0.759412 6.8740
9 0.733731 7.6077
10 0.708919 8.3166
11 0.684946 9.0016
12 0.661783 9.6633
13 0.639404 10.3027
14 0.617782 10.9205
15 0.596891 11.5174
16 0.576706 12.0941
17 0.557204 12.6513
18 0.538361 13.1897
19 0.520156 13.7098
20 0.502566 14.2124
21 0.485571 14.6980
22 0.469151 15.1671
23 0.453286 15.6204
24 0.437957 16.0584
25 0.423147 16.4815
26 0.408838 16.8904
27 0.395012 17.2854
28 0.381654 17.6670
29 0.368748 18.0358
30 0.356278 18.3920

TABLE II.B. Present Value of Reversions and Annuities-Certain Upon a 4 Per Cent Basis

n vn an
Number of years Present worth of one dollar payable at the end of a certain number of years Present worth of an annuity of one dollar payable at the end of each year, for a certain number of years
1 2 3
Reversion Annuity
1 0.961538 0.9615
2 0.924556 1.8861
3 0.888996 2.7751
4 0.854804 3.6299
5 0.821927 4.4518
6 0.790315 5.2421
7 0.759918 6.0021
8 0.730690 6.7327
9 0.702587 7.4353
10 0.675564 8.1109
11 0.649581 8.7605
12 0.624597 9.3851
13 0.600574 9.9856
14 0.577475 10.5631
15 0.555265 11.1184
16 0.533908 11.6523
17 0.513373 12.1657
18 0.493628 12.6593
19 0.474642 13.1339
20 0.456387 13.5903
21 0.438834 14.0292
22 0.421955 14.4511
23 0.405726 14.8568
24 0.390121 15.2470
25 0.375117 15.6221
26 0.360689 15.9828
27 0.346817 16.3296
28 0.333477 16.6631
29 0.320651 16.9837
30 0.308319 17.2920

TABLE II.C. Present Value of Reversions and Annuities-Certain Upon a 4 1/2 Per Cent Basis

n vn an
Number of years Present worth of one dollar payable at the end of a certain number of years Present worth of an annuity of one dollar payable at the end of each year, for a certain number of years
1 2 3
Reversion Annuity
1 0.956938 0.9569
2 0.915730 1.8727
3 0.876297 2.7490
4 0.838561 3.5875
5 0.802451 4.3900
6 0.767896 5.1579
7 0.734828 5.8927
8 0.703185 6.5959
9 0.672904 7.2688
10 0.643928 7.9127
11 0.616199 8.5289
12 0.589664 9.1186
13 0.564272 9.6829
14 0.539973 10.2228
15 0.516720 10.7395
16 0.494469 11.2340
17 0.473176 11.7072
18 0.452800 12.1600
19 0.433302 12.5933
20 0.414643 13.0079
21 0.396787 13.4047
22 0.379701 13.7844
23 0.363350 14.1478
24 0.347703 14.4955
25 0.332731 14.8282
26 0.318402 15.1466
27 0.304691 15.4513
28 0.291571 15.7429
29 0.279015 16.0219
30 0.267000 16.2889

TABLE II.D. Present Value of Reversions and Annuities-Certain Upon a 5 Per Cent Basis

n vn an
Number of years Present worth of one dollar payable at the end of a certain number of years Present worth of an annuity of one dollar payable at the end of each year, for a certain number of years
1 2 3
Reversion Annuity
1 0.952381 0.9524
2 0.907029 1.8594
3 0.863838 2.7232
4 0.822702 3.5460
5 0.783526 4.3295
6 0.746215 5.0757
7 0.710681 5.7864
8 0.676839 6.4632
9 0.644609 7.1078
10 0.613913 7.7217
11 0.584679 8.3064
12 0.556837 8.8633
13 0.530321 9.3936
14 0.505068 9.8986
15 0.481017 10.3797
16 0.458112 10.8378
17 0.436297 11.2741
18 0.415521 11.6896
19 0.395734 12.0853
20 0.376889 12.4622
21 0.358942 12.8212
22 0.341850 13.1630
23 0.325571 13.4886
24 0.310068 13.7986
25 0.295303 14.0939
26 0.281241 14.3752
27 0.267848 14.6430
28 0.255094 14.8981
29 0.242946 15.1411
30 0.231377 15.3725

TABLE II.E. Present Value of Reversions and Annuities-Certain Upon a 5 1/2 Per Cent Basis

n vn an
Number of years Present worth of one dollar payable at the end of a certain number of years Present worth of an annuity of one dollar payable at the end of each year, for a certain number of years
1 2 3
Reversion Annuity
1 0.947867 0.9479
2 0.898452 1.8463
3 0.851614 2.6979
4 0.807217 3.5052
5 0.765134 4.2703
6 0.725246 4.9955
7 0.687437 5.6830
8 0.651599 6.3346
9 0.617629 6.9522
10 0.585431 7.5376
11 0.554911 8.0925
12 0.525982 8.6185
13 0.498561 9.1171
14 0.472569 9.5896
15 0.447933 10.0376
16 0.424581 10.4622
17 0.402447 10.8646
18 0.381466 11.2461
19 0.361579 11.6077
20 0.342729 11.9504
21 0.324862 12.2752
22 0.307926 12.5832
23 0.291873 12.8750
24 0.276657 13.1517
25 0.262234 13.4139
26 0.248563 13.6625
27 0.235605 13.8981
28 0.223322 14.1214
29 0.211679 14.3331
30 0.200644 14.5337

TABLE II.F. Present Value of Reversions and Annuities-Certain Upon a 6 Per Cent Basis

n vn an
Number of years Present worth of one dollar payable at the end of a certain number of years Present worth of an annuity of one dollar payable at the end of each year, for a certain number of years
1 2 3
Reversion Annuity
1 0.943396 0.9434
2 0.889996 1.8334
3 0.839619 2.6730
4 0.792094 3.4651
5 0.747258 4.2124
6 0.704961 4.9173
7 0.665057 5.5824
8 0.627412 6.2098
9 0.591898 6.8017
10 0.558395 7.3601
11 0.526788 7.8869
12 0.496969 8.3838
13 0.468839 8.8527
14 0.442301 9.2950
15 0.417265 9.7122
16 0.393646 10.1059
17 0.371364 10.4773
18 0.350344 10.8276
19 0.330513 11.1581
20 0.311805 11.4699
21 0.294155 11.7641
22 0.277505 12.0416
23 0.261797 12.3034
24 0.246979 12.5504
25 0.232999 12.7834
26 0.219810 13.0032
27 0.207368 13.2105
28 0.195630 13.4062
29 0.184557 13.5907
30 0.174110 13.7648


EXPLANATORY NOTES -- TABLES I.A THROUGH I.F


The first column shows the age of the person under consideration at his or her nearest birthday.

The second column shows the present worth of one dollar payable upon death.

The third column shows the present value of an annuity of $1.00 per year payable at the end of each year, during the lifetime of a person of the specified age, with a final payment upon death of an amount proportionate to the time elapsed between the date of the preceding payment and the date of death.

The fourth column shows the complete expectation of life, which is the average number of years of future life for persons of the specified age.



ADJUSTMENTS FOR MONTHLY PAYMENTS, ETC.


If a life interest in an estate or income from property is payable in semi-annual, quarterly, monthly or weekly installments, Tables should be used without adjustment.

In the case of a life annuity or an annuity-certain, if payable at the end of semi-annual, quarterly, monthly or weekly periods, the annuity value should be multiplied by the appropriate adjustment factor:


Interest rate 3.5% 4.0% 4.5% 5.0% 5.5% 6.0%
Semi-annual 1.00867 1.00990 1.01113 1.01235 1.01357 1.01478
Quarterly 1.01303 1.01488 1.01672 1.01856 1.02039 1.02223
Monthly 1.01594 1.01820 1.02046 1.02271 1.02496 1.02721
Weekly 1.01706 1.01948 1.02190 1.02432 1.02673 1.02913


EXAMPLES WITH 5% INTEREST


Example 1. A decedent's will provides that his nephew, age 40 years, is to receive the sum of $1,000 per year for life, payable in monthly installments. What is the present value of the bequest?
Reference to column (3) of Table I.D provides the factor for valuation of a life annuity at age 40, 15.9180. The monthly adjustment factor is 1.02271. The value required is 15.9180 x 1.02271 x $1,000 = $16,279.
Example 2. A decedent leaves to his sister, age 50, a life interest in property the value of which is $50,000, and provides that upon the sister's death, absolute title to the property will pass to other parties. What is the value of the sister's interest, and what is the value of the remainder interest of the other parties in the estate?
A net return of 5% per annum is assumed, and on that basis the sister's income from the estate will be .05 x $50,000 or $2,500 per year. The value of her income (whether paid annually or otherwise) will be $2,500 x 15.0579 [see column (6) Table I.D, age 50] or $37,645.
The remainder interest of the other parties is determined from column (5) of Table I.D, taking into account the age of the person receiving the life interest. The value of $1.00 due upon the death of the sister is $.24718. Hence, the reversion is valued at .24718 x $50,000, or $12,359, for those who receive the remainder interest.
NOTE. It is to be noted that the value of a life estate plus the value of the reversionary or remainder interest equals the value of the whole property. Thus, as a practical matter, only one of the values needs to be computed, and the second can then be arrived at by simply subtracting the value computed from the value of the whole property.
Example 3. Income from property valued at $100,000 is payable to the decedent's niece for 20 years. The income is payable whether or not the niece survives. At the end of 20 years (whether or not the niece is then living) the property is to pass to the decedent's younger brother (or to the younger brother's estate if he is not then living).
Income at 5% on $100,000 will be $5,000 per year. Present worth of $1.00 per year for 20 years, according to column (3) of Table II.D, is $12.4622. The niece's interest, therefore, is $12.4622 x $5,000 or $62,311.
Present worth of $1.00 due at the end of 20 years, from column (2) is $.376889. The brother's interest is valued at $.376889 x 100,000 or $37,689.
NOTE. It is to be noted that the value of a term estate plus the value of the reversionary or remainder interest equals the value of the whole property. Thus, as a practical matter, only one of the values needs to be computed, and the second can then be arrived at by simply subtracting the value computed from the value of the whole property.
Example 4. The decedent provides that a beneficiary is to receive $100 per month for a fixed period of 10 years, and at the end of that period a final payment in the amount of $10,000. What is the value of the bequest?
$1.00 per year payable annually for 10 years is worth $7.7217 [column (3), Table II.D]. For adjustment to a monthly basis, the correcting factor is 1.02271. The payments amount to $1,200 per year and the value of the income is, thus, $7.7217 x 1.02271 x 1,200 = $9,476.
The value of $10,000 due at the end of 10 years is $.613913 x 10,000 = $6,139; the total value of the bequest is $9,476 + $6,139 = $15,615.

Reviser's note: The brackets and enclosed material in the text of the above section occurred in the copy filed by the agency and appear in the Register pursuant to the requirements of RCW 34.08.040.

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