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
|
x |
Male |
Female |
||||
A(x) |
a(x) |
e(x) |
A(x) |
a(x) |
e(x) |
|
1 Age nearest birthday |
2 Reversion or present value of one dollar due immediately upon death of a person of specified age |
3 Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age |
4 Expectation of life |
5 Reversion or present value of one dollar due immediately upon death of a person of specified age |
6 Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age |
7 Expectation of life |
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 |
0.09846 0.09498 0.09778 0.10086 0.10412 0.10754 0.11114 0.11487 0.11876 0.12277 0.12692 0.13121 0.13563 0.14020 0.14489 0.14968 0.15452 0.15933 0.16411 0.16883 0.17358 0.17851 0.18351 0.18875 0.19422 0.19989 0.20582 0.21191 |
25.7587 25.8582 25.7780 25.6903 25.5969 25.4992 25.3966 25.2899 25.1789 25.0643 24.9456 24.8233 24.6968 24.5663 24.4325 24.2956 24.1573 24.0198 23.8832 23.7485 23.6129 23.4718 23.3290 23.1793 23.0230 22.8613 22.6918 22.5178 |
74.44 74.00 73.04 72.07 71.09 70.10 69.12 68.13 67.14 66.15 65.16 64.17 63.18 62.20 61.21 60.23 59.26 58.30 57.35 56.42 55.50 54.57 53.66 52.73 51.80 50.88 49.94 49.01 |
0.07993 0.07695 0.07920 0.08170 0.08435 0.08713 0.09004 0.09306 0.09618 0.09944 0.10279 0.10628 0.10989 0.11360 0.11743 0.12135 0.12537 0.12943 0.13357 0.13787 0.14232 0.14691 0.15164 0.15657 0.16163 0.16687 0.17228 0.17788 |
26.2881 26.3731 26.3088 26.2376 26.1619 26.0824 25.9992 25.9131 25.8237 25.7308 25.6349 25.5352 25.4323 25.3262 25.2168 25.1048 24.9899 24.8741 24.7557 24.6328 24.5058 24.3746 24.2396 24.0988 23.9542 23.8044 23.6500 23.4900 |
79.78 79.27 78.30 77.33 76.34 75.36 74.37 73.38 72.39 71.40 70.41 69.42 68.43 67.44 66.45 65.46 64.48 63.50 62.53 61.55 60.58 59.61 58.64 57.66 56.69 55.72 54.75 53.77 |
|
x |
Male |
Female |
||||
A(x) |
a(x) |
e(x) |
A(x) |
a(x) |
e(x) |
|
1 Age nearest birthday |
2 Reversion or present value of one dollar due immediately upon death of a person of specified age |
3 Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age |
4 Expectation of life |
5 Reversion or present value of one dollar due immediately upon death of a person of specified age |
6 Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age |
7 Expectation of life |
28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 |
0.21826 0.22480 0.23160 0.23860 0.24587 0.25336 0.26102 0.26889 0.27692 0.28522 0.29365 0.30227 0.31114 0.32020 0.32951 0.33902 0.34868 0.35852 0.36856 0.37882 0.38919 0.39975 0.41054 0.42153 0.43283 0.44431 0.45613 0.46787 0.48014 |
22.3363 22.1497 21.9553 21.7554 21.5477 21.3336 21.1148 20.8900 20.6606 20.4235 20.1826 19.9363 19.6830 19.4241 19.1582 18.8866 18.6108 18.3295 18.0427 17.7496 17.4534 17.1517 16.8434 16.5295 16.2069 15.8787 15.5412 15.2058 14.8552 |
48.07 47.14 46.20 45.27 44.33 43.40 42.46 41.54 40.61 39.69 38.77 37.86 36.95 36.05 35.15 34.25 33.36 32.48 31.61 30.73 29.87 29.02 28.17 27.33 26.49 25.66 24.82 24.01 23.19 |
0.18364 0.18958 0.19571 0.20202 0.20857 0.21526 0.22214 0.22922 0.23649 0.24395 0.25161 0.25943 0.26745 0.27568 0.28417 0.29285 0.30172 0.31080 0.32012 0.32969 0.33950 0.34958 0.35983 0.37035 0.38117 0.39211 0.40330 0.41460 0.42636 |
23.3253 23.1556 22.9805 22.8002 22.6131 22.4220 22.2254 22.0232 21.8155 21.6024 21.3836 21.1603 20.9311 20.6962 20.4536 20.2055 19.9522 19.6926 19.4266 19.1530 18.8729 18.5848 18.2922 17.9916 17.6826 17.3699 17.0503 16.7275 16.3915 |
52.80 51.83 50.87 49.90 48.93 47.97 47.01 46.05 45.09 44.14 43.19 42.24 41.30 40.37 39.43 38.50 37.57 36.65 35.73 34.81 33.90 32.99 32.09 31.19 30.30 29.41 28.53 27.66 26.79 |
|
x |
Male |
Female |
||||
A(x) |
a(x) |
e(x) |
A(x) |
a(x) |
e(x) |
|
1 Age nearest birthday |
2 Reversion or present value of one dollar due immediately upon death of a person of specified age |
3 Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age |
4 Expectation of life |
5 Reversion or present value of one dollar due immediately upon death of a person of specified age |
6 Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age |
7 Expectation of life |
57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 |
0.49231 0.50461 0.51682 0.52952 0.54204 0.55479 0.56751 0.58031 0.59312 0.60593 0.61887 0.63170 0.64452 0.65728 0.67009 0.68283 0.69537 0.70770 0.72004 0.73214 0.74412 0.75596 0.76748 0.77868 0.79004 0.80022 0.81115 0.82093 0.83038 |
14.5077 14.1562 13.8073 13.4446 13.0870 12.7228 12.3594 11.9935 11.6276 11.2618 10.8922 10.5256 10.1593 9.7948 9.4288 9.0649 8.7067 8.3544 8.0018 7.6562 7.3141 6.9759 6.6468 6.3267 6.0023 5.7114 5.3992 5.1199 4.8499 |
22.40 21.61 20.84 20.07 19.32 18.58 17.85 17.13 16.43 15.75 15.07 14.41 13.77 13.14 12.52 11.92 11.34 10.77 10.22 9.69 9.17 8.67 8.19 7.73 7.27 6.87 6.44 6.06 5.70 |
0.43812 0.45004 0.46203 0.47438 0.48682 0.49945 0.51213 0.52491 0.53785 0.55095 0.56414 0.57738 0.59075 0.60421 0.61778 0.63139 0.64505 0.65864 0.67230 0.68591 0.69939 0.71288 0.72609 0.73916 0.75211 0.76442 0.77716 0.78893 0.80017 |
16.0556 15.7150 15.3727 15.0197 14.6644 14.3036 13.9413 13.5762 13.2066 12.8323 12.4555 12.0772 11.6953 11.3109 10.9231 10.5343 10.1442 9.7560 9.3658 8.9768 8.5919 8.2065 7.8290 7.4557 7.0858 6.7341 6.3703 6.0340 5.7130 |
25.93 25.09 24.25 23.42 22.60 21.79 21.00 20.21 19.44 18.68 17.92 17.18 16.46 15.74 15.03 14.34 13.66 13.00 12.35 11.72 11.10 10.50 9.92 9.36 8.81 8.30 7.78 7.31 6.86 |
|
x |
Male |
Female |
||||
A(x) |
a(x) |
e(x) |
A(x) |
a(x) |
e(x) |
|
1 Age nearest birthday |
2 Reversion or present value of one dollar due immediately upon death of a person of specified age |
3 Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age |
4 Expectation of life |
5 Reversion or present value of one dollar due immediately upon death of a person of specified age |
6 Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age |
7 Expectation of life |
86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 |
0.83937 0.84789 0.85596 0.86358 0.87077 0.87753 0.88388 0.88982 0.89539 0.90058 0.90542 0.90992 0.91410 0.91797 0.92154 0.92483 0.92786 0.93063 0.93315 0.93545 0.93752 0.93938 0.94104 0.94251 0.94379 0.94491 0.94589 0.94676 0.94760 |
4.5932 4.3496 4.1191 3.9013 3.6961 3.5030 3.3216 3.1517 2.9928 2.8444 2.7062 2.5776 2.4583 2.3478 2.2457 2.1517 2.0653 1.9861 1.9140 1.8484 1.7892 1.7360 1.6886 1.6467 1.6100 1.5780 1.5502 1.5253 1.5012 |
5.36 5.05 4.75 4.47 4.21 3.97 3.75 3.54 3.34 3.16 3.00 2.85 2.70 2.57 2.45 2.34 2.24 2.15 2.07 1.99 1.93 1.87 1.81 1.77 1.72 1.69 1.66 1.63 1.60 |
0.81091 0.82116 0.83092 0.84017 0.84893 0.85720 0.86499 0.87231 0.87917 0.88560 0.89159 0.89718 0.90237 0.90719 0.91165 0.91576 0.91955 0.92302 0.92620 0.92909 0.93172 0.93409 0.93622 0.93811 0.93980 0.94129 0.94261 0.94381 0.94498 |
5.4060 5.1131 4.8345 4.5702 4.3200 4.0838 3.8613 3.6521 3.4560 3.2725 3.1011 2.9415 2.7932 2.6556 2.5283 2.4108 2.3027 2.2034 2.1127 2.0300 1.9550 1.8872 1.8265 1.7722 1.7241 1.6816 1.6438 1.6094 1.5759 |
6.44 6.05 5.68 5.33 5.01 4.70 4.42 4.16 3.91 3.68 3.48 3.28 3.10 2.94 2.79 2.65 2.52 2.40 2.30 2.20 2.12 2.04 1.97 1.91 1.85 1.80 1.76 1.72 1.68 |
|
x |
Male |
Female |
||||
A(x) |
a(x) |
e(x) |
A(x) |
a(x) |
e(x) |
|
1 Age nearest birthday |
2 Reversion or present value of one dollar due immediately upon death of a person of specified age |
3 Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age |
4 Expectation of life |
5 Reversion or present value of one dollar due immediately upon death of a person of specified age |
6 Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age |
7 Expectation of life |
115 116 117 118 119 |
0.94856 0.94993 0.95228 0.95674 0.96554 |
1.4737 1.4347 1.3676 1.2401 0.9886 |
1.57 1.52 1.44 1.30 1.02 |
0.94628 0.94802 0.95078 0.95572 0.96504 |
1.5388 1.4893 1.4103 1.2692 1.0029 |
1.64 1.58 1.49 1.33 1.04 |
|
x |
Male |
Female |
||||
A(x) |
a(x) |
e(x) |
A(x) |
a(x) |
e(x) |
|
1 Age nearest birthday |
2 Reversion or present value of one dollar due immediately upon death of a person of specified age |
3 Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age |
4 Expectation of life |
5 Reversion or present value of one dollar due immediately upon death of a person of specified age |
6 Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age |
7 Expectation of life |
0 1 2 3 4 5 6 7 8 9 10 11 12 13 |
0.07518 0.07106 0.07337 0.07595 0.07871 0.08163 0.08472 0.08795 0.09133 0.09483 0.09847 0.10225 0.10617 0.11023 |
23.1208 23.2238 23.1660 23.1017 23.0325 22.9596 22.8824 22.8017 22.7173 22.6297 22.5386 22.4443 22.3463 22.2447 |
74.44 74.00 73.04 72.07 71.09 70.10 69.12 68.13 67.14 66.15 65.16 64.17 63.18 62.20 |
0.05921 0.05566 0.05743 0.05944 0.06161 0.06390 0.06631 0.06882 0.07144 0.07418 0.07702 0.07999 0.08307 0.08626 |
23.5200 23.6088 23.5645 23.5142 23.4601 23.4029 23.3426 23.2798 23.2143 23.1458 23.0748 23.0005 22.9236 22.8440 |
79.78 79.27 78.30 77.33 76.34 75.36 74.37 73.38 72.39 71.40 70.41 69.42 68.43 67.44 |
|
x |
Male |
Female |
||||
A(x) |
a(x) |
e(x) |
A(x) |
a(x) |
e(x) |
|
1 Age nearest birthday |
2 Reversion or present value of one dollar due immediately upon death of a person of specified age |
3 Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age |
4 Expectation of life |
5 Reversion or present value of one dollar due immediately upon death of a person of specified age |
6 Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age |
7 Expectation of life |
14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 |
0.11441 0.11870 0.12303 0.12733 0.13160 0.13579 0.14001 0.14442 0.14890 0.15361 0.15857 0.16373 0.16916 0.17476 0.18063 0.18670 0.19304 0.19960 0.20644 0.21353 0.22079 0.22828 0.23596 0.24392 0.25203 0.26035 0.26894 0.27776 0.28684 0.29616 |
22.1403 22.0332 21.9249 21.8174 21.7107 21.6059 21.5004 21.3901 21.2783 21.1604 21.0365 20.9077 20.7719 20.6319 20.4851 20.3335 20.1749 20.0110 19.8399 19.6629 19.4813 19.2940 19.1022 18.9033 18.7005 18.4925 18.2777 18.0574 17.8303 17.5975 |
61.21 60.23 59.26 58.30 57.35 56.42 55.50 54.57 53.66 52.73 51.80 50.88 49.94 49.01 48.07 47.14 46.20 45.27 44.33 43.40 42.46 41.54 40.61 39.69 38.77 37.86 36.95 36.05 35.15 34.25 |
0.08956 0.09294 0.09643 0.09994 0.10354 0.10729 0.11119 0.11523 0.11941 0.12379 0.12830 0.13301 0.13787 0.14294 0.14818 0.15359 0.15921 0.16501 0.17107 0.17727 0.18367 0.19028 0.19710 0.20413 0.21136 0.21877 0.22640 0.23425 0.24240 0.25075 |
22.7615 22.6769 22.5898 22.5020 22.4121 22.3182 22.2209 22.1198 22.0154 21.9058 21.7930 21.6755 21.5538 21.4272 21.2963 21.1609 21.0206 20.8756 20.7242 20.5692 20.4091 20.2439 20.0734 19.8978 19.7170 19.5319 19.3411 19.1448 18.9413 18.7324 |
66.45 65.46 64.48 63.50 62.53 61.55 60.58 59.61 58.64 57.66 56.69 55.72 54.75 53.77 52.80 51.83 50.87 49.90 48.93 47.97 47.01 46.05 45.09 44.14 43.19 42.24 41.30 40.37 39.43 38.50 |
|
x |
Male |
Female |
||||
A(x) |
a(x) |
e(x) |
A(x) |
a(x) |
e(x) |
|
1 Age nearest birthday |
2 Reversion or present value of one dollar due immediately upon death of a person of specified age |
3 Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age |
4 Expectation of life |
5 Reversion or present value of one dollar due immediately upon death of a person of specified age |
6 Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age |
7 Expectation of life |
44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 |
0.30564 0.31535 0.32527 0.33546 0.34577 0.35632 0.36713 0.37818 0.38957 0.40120 0.41321 0.42517 0.43773 0.45021 0.46286 0.47545 0.48860 0.50158 0.51485 0.52813 0.54153 0.55498 0.56845 0.58210 0.59568 0.60928 0.62285 0.63651 0.65013 0.66357 |
17.3604 17.1179 16.8697 16.6152 16.3574 16.0938 15.8236 15.5475 15.2626 14.9719 14.6718 14.3729 14.0589 13.7471 13.4307 13.1161 12.7875 12.4629 12.1312 11.7993 11.4643 11.1283 10.7916 10.4503 10.1109 9.7711 9.4319 9.0904 8.7499 8.4141 |
33.36 32.48 31.61 30.73 29.87 29.02 28.17 27.33 26.49 25.66 24.82 24.01 23.19 22.40 21.61 20.84 20.07 19.32 18.58 17.85 17.13 16.43 15.75 15.07 14.41 13.77 13.14 12.52 11.92 11.34 |
0.25932 0.26812 0.27718 0.28653 0.29614 0.30606 0.31617 0.32660 0.33736 0.34829 0.35949 0.37084 0.38271 0.39460 0.40670 0.41889 0.43151 0.44425 0.45723 0.47030 0.48351 0.49693 0.51056 0.52432 0.53817 0.55220 0.56637 0.58070 0.59511 0.60961 |
18.5184 18.2983 18.0719 17.8382 17.5980 17.3499 17.0972 16.8366 16.5676 16.2945 16.0145 15.7309 15.4342 15.1369 14.8346 14.5298 14.2143 13.8959 13.5714 13.2448 12.9146 12.5793 12.2386 11.8946 11.5484 11.1977 10.8436 10.4854 10.1252 9.7627 |
37.57 36.65 35.73 34.81 33.90 32.99 32.09 31.19 30.30 29.41 28.53 27.66 26.79 25.93 25.09 24.25 23.42 22.60 21.79 21.00 20.21 19.44 18.68 17.92 17.18 16.46 15.74 15.03 14.34 13.66 |
|
x |
Male |
Female |
||||
A(x) |
a(x) |
e(x) |
A(x) |
a(x) |
e(x) |
|
1 Age nearest birthday |
2 Reversion or present value of one dollar due immediately upon death of a person of specified age |
3 Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age |
4 Expectation of life |
5 Reversion or present value of one dollar due immediately upon death of a person of specified age |
6 Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age |
7 Expectation of life |
74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 |
0.67681 0.69010 0.70316 0.71611 0.72895 0.74147 0.75367 0.76607 0.77719 0.78918 0.79991 0.81030 0.82020 0.82960 0.83851 0.84694 0.85490 0.86240 0.86944 0.87605 0.88224 0.88803 0.89342 0.89844 0.90311 0.90743 0.91143 0.91511 0.91850 0.92160 |
8.0830 7.7509 7.4246 7.1007 6.7799 6.4669 6.1619 5.8520 5.5740 5.2744 5.0062 4.7465 4.4991 4.2641 4.0413 3.8306 3.6317 3.4443 3.2682 3.1030 2.9483 2.8037 2.6688 2.5433 2.4267 2.3187 2.2188 2.1267 2.0420 1.9644 |
10.77 10.22 9.69 9.17 8.67 8.19 7.73 7.27 6.87 6.44 6.06 5.70 5.36 5.05 4.75 4.47 4.21 3.97 3.75 3.54 3.34 3.16 3.00 2.85 2.70 2.57 2.45 2.34 2.24 2.15 |
0.62408 0.63867 0.65325 0.66772 0.68224 0.69651 0.71064 0.72470 0.73807 0.75196 0.76482 0.77711 0.78889 0.80015 0.81087 0.82107 0.83073 0.83987 0.84849 0.85660 0.86421 0.87135 0.87802 0.88424 0.89002 0.89540 0.90037 0.90497 0.90920 0.91308 |
9.4011 9.0364 8.6720 8.3103 7.9473 7.5908 7.2374 6.8862 6.5518 6.2046 5.8833 5.5760 5.2816 5.0002 4.7321 4.4774 4.2358 4.0074 3.7920 3.5893 3.3989 3.2206 3.0539 2.8984 2.7538 2.6195 2.4952 2.3803 2.2745 2.1774 |
13.00 12.35 11.72 11.10 10.50 9.92 9.36 8.81 8.30 7.78 7.31 6.86 6.44 6.05 5.68 5.33 5.01 4.70 4.42 4.16 3.91 3.68 3.48 3.28 3.10 2.94 2.79 2.65 2.52 2.40 |
|
x |
Male |
Female |
||||
A(x) |
a(x) |
e(x) |
A(x) |
a(x) |
e(x) |
|
1 Age nearest birthday |
2 Reversion or present value of one dollar due immediately upon death of a person of specified age |
3 Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age |
4 Expectation of life |
5 Reversion or present value of one dollar due immediately upon death of a person of specified age |
6 Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age |
7 Expectation of life |
104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 |
0.92444 0.92701 0.92934 0.93143 0.93329 0.93494 0.93638 0.93764 0.93874 0.93971 0.94066 0.94173 0.94325 0.94588 0.95089 0.96083 |
1.8936 1.8293 1.7711 1.7189 1.6723 1.6311 1.5950 1.5636 1.5362 1.5118 1.4882 1.4614 1.4233 1.3577 1.2323 0.9839 |
2.07 1.99 1.93 1.87 1.81 1.77 1.72 1.69 1.66 1.63 1.60 1.57 1.52 1.44 1.30 1.02 |
0.91664 0.91988 0.92283 0.92549 0.92787 0.93000 0.93190 0.93357 0.93505 0.93640 0.93771 0.93916 0.94110 0.94419 0.94974 0.96027 |
2.0885 2.0074 1.9338 1.8674 1.8077 1.7544 1.7072 1.6654 1.6283 1.5946 1.5619 1.5256 1.4772 1.3999 1.2611 0.9980 |
2.30 2.20 2.12 2.04 1.97 1.91 1.85 1.80 1.76 1.72 1.68 1.64 1.58 1.49 1.33 1.04 |
|
x |
Male |
Female |
||||
A(x) |
a(x) |
e(x) |
A(x) |
a(x) |
e(x) |
|
1 Age nearest birthday |
2 Reversion or present value of one dollar due immediately upon death of a person of specified age |
3 Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age |
4 Expectation of life |
5 Reversion or present value of one dollar due immediately upon death of a person of specified age |
6 Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age |
7 Expectation of life |
0 |
0.05855 |
20.9214 |
74.44 |
0.04482 |
21.2266 |
79.78 |
|
x |
Male |
Female |
||||
A(x) |
a(x) |
e(x) |
A(x) |
a(x) |
e(x) |
|
1 Age nearest birthday |
2 Reversion or present value of one dollar due immediately upon death of a person of specified age |
3 Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age |
4 Expectation of life |
5 Reversion or present value of one dollar due immediately upon death of a person of specified age |
6 Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age |
7 Expectation of life |
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 |
0.05391 0.05579 0.05793 0.06026 0.06274 0.06538 0.06816 0.07109 0.07413 0.07731 0.08062 0.08408 0.08767 0.09138 0.09519 0.09905 0.10287 0.10665 0.11034 0.11405 0.11796 0.12192 0.12613 0.13057 0.13522 0.14015 0.14524 0.15062 0.15619 0.16205 |
21.0245 20.9827 20.9351 20.8833 20.8283 20.7696 20.7079 20.6429 20.5752 20.5046 20.4310 20.3543 20.2744 20.1921 20.1074 20.0217 19.9368 19.8529 19.7709 19.6883 19.6015 19.5135 19.4201 19.3213 19.2181 19.1087 18.9955 18.8760 18.7523 18.6220 |
74.00 73.04 72.07 71.09 70.10 69.12 68.13 67.14 66.15 65.16 64.17 63.18 62.20 61.21 60.23 59.26 58.30 57.35 56.42 55.50 54.57 53.66 52.73 51.80 50.88 49.94 49.01 48.07 47.14 46.20 |
0.04081 0.04218 0.04379 0.04554 0.04741 0.04940 0.05148 0.05366 0.05596 0.05834 0.06086 0.06347 0.06619 0.06901 0.07191 0.07491 0.07793 0.08102 0.08427 0.08766 0.09119 0.09485 0.09871 0.10270 0.10687 0.11121 0.11576 0.12047 0.12536 0.13045 |
21.3156 21.2851 21.2494 21.2105 21.1689 21.1247 21.0785 21.0301 20.9790 20.9260 20.8702 20.8121 20.7518 20.6891 20.6245 20.5580 20.4909 20.4222 20.3500 20.2748 20.1964 20.1151 20.0293 19.9406 19.8478 19.7514 19.6505 19.5458 19.4371 19.3240 |
79.27 78.30 77.33 76.34 75.36 74.37 73.38 72.39 71.40 70.41 69.42 68.43 67.44 66.45 65.46 64.48 63.50 62.53 61.55 60.58 59.61 58.64 57.66 56.69 55.72 54.75 53.77 52.80 51.83 50.87 |
|
x |
Male |
Female |
||||
A(x) |
a(x) |
e(x) |
A(x) |
a(x) |
e(x) |
|
1 Age nearest birthday |
2 Reversion or present value of one dollar due immediately upon death of a person of specified age |
3 Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age |
4 Expectation of life |
5 Reversion or present value of one dollar due immediately upon death of a person of specified age |
6 Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age |
7 Expectation of life |
31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 |
0.16813 0.17451 0.18113 0.18795 0.19501 0.20226 0.20981 0.21753 0.22547 0.23371 0.24218 0.25095 0.25997 0.26917 0.27863 0.28833 0.29831 0.30845 0.31884 0.32954 0.34050 0.35185 0.36348 0.37553 0.38755 0.40024 0.41287 0.42571 0.43851 0.45194 |
18.4870 18.3453 18.1980 18.0466 17.8898 17.7287 17.5609 17.3894 17.2130 17.0300 16.8418 16.6470 16.4466 16.2420 16.0320 15.8166 15.5948 15.3695 15.1386 14.9009 14.6574 14.4052 14.1469 13.8792 13.6122 13.3302 13.0497 12.7643 12.4799 12.1816 |
45.27 44.33 43.40 42.46 41.54 40.61 39.69 38.77 37.86 36.95 36.05 35.15 34.25 33.36 32.48 31.61 30.73 29.87 29.02 28.17 27.33 26.49 25.66 24.82 24.01 23.19 22.40 21.61 20.84 20.07 |
0.13574 0.14128 0.14697 0.15287 0.15898 0.16532 0.17186 0.17862 0.18556 0.19275 0.20016 0.20788 0.21583 0.22400 0.23244 0.24114 0.25016 0.25947 0.26912 0.27898 0.28918 0.29976 0.31053 0.32160 0.33286 0.34468 0.35656 0.36867 0.38091 0.39363 |
19.2066 19.0835 18.9571 18.8259 18.6901 18.5494 18.4041 18.2539 18.0996 17.9401 17.7753 17.6038 17.4271 17.2456 17.0583 16.8649 16.6644 16.4576 16.2432 16.0242 15.7975 15.5625 15.3233 15.0773 14.8273 14.5645 14.3007 14.0316 13.7597 13.4770 |
49.90 48.93 47.97 47.01 46.05 45.09 44.14 43.19 42.24 41.30 40.37 39.43 38.50 37.57 36.65 35.73 34.81 33.90 32.99 32.09 31.19 30.30 29.41 28.53 27.66 26.79 25.93 25.09 24.25 23.42 |
|
x |
Male |
Female |
||||
A(x) |
a(x) |
e(x) |
A(x) |
a(x) |
e(x) |
|
1 Age nearest birthday |
2 Reversion or present value of one dollar due immediately upon death of a person of specified age |
3 Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age |
4 Expectation of life |
5 Reversion or present value of one dollar due immediately upon death of a person of specified age |
6 Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age |
7 Expectation of life |
61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 |
0.46523 0.47886 0.49252 0.50636 0.52027 0.53424 0.54845 0.56261 0.57683 0.59105 0.60541 0.61977 0.63396 0.64798 0.66208 0.67596 0.68977 0.70348 0.71689 0.72997 0.74331 0.75528 0.76823 0.77983 0.79108 0.80182 0.81203 0.82172 0.83091 0.83959 |
11.8863 11.5836 11.2800 10.9727 10.6636 10.3531 10.0375 9.7229 9.4070 9.0910 8.7719 8.4530 8.1378 7.8263 7.5130 7.2046 6.8979 6.5931 6.2954 6.0046 5.7082 5.4424 5.1546 4.8970 4.6470 4.4085 4.1816 3.9662 3.7622 3.5694 |
19.32 18.58 17.85 17.13 16.43 15.75 15.07 14.41 13.77 13.14 12.52 11.92 11.34 10.77 10.22 9.69 9.17 8.67 8.19 7.73 7.27 6.87 6.44 6.06 5.70 5.36 5.05 4.75 4.47 4.21 |
0.40651 0.41968 0.43296 0.44643 0.46015 0.47413 0.48829 0.50258 0.51710 0.53180 0.54672 0.56176 0.57694 0.59213 0.60748 0.62287 0.63818 0.65359 0.66876 0.68383 0.69885 0.71317 0.72810 0.74193 0.75518 0.76789 0.78007 0.79169 0.80275 0.81325 |
13.1908 12.8984 12.6032 12.3040 11.9992 11.6886 11.3740 11.0565 10.7339 10.4074 10.0760 9.7418 9.4045 9.0671 8.7260 8.3841 8.0440 7.7017 7.3646 7.0297 6.6961 6.3779 6.0463 5.7391 5.4447 5.1621 4.8917 4.6336 4.3879 4.1546 |
22.60 21.79 21.00 20.21 19.44 18.68 17.92 17.18 16.46 15.74 15.03 14.34 13.66 13.00 12.35 11.72 11.10 10.50 9.92 9.36 8.81 8.30 7.78 7.31 6.86 6.44 6.05 5.68 5.33 5.01 |
|
x |
Male |
Female |
||||
A(x) |
a(x) |
e(x) |
A(x) |
a(x) |
e(x) |
|
1 Age nearest birthday |
2 Reversion or present value of one dollar due immediately upon death of a person of specified age |
3 Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age |
4 Expectation of life |
5 Reversion or present value of one dollar due immediately upon death of a person of specified age |
6 Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age |
7 Expectation of life |
91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 |
0.84777 0.85547 0.86271 0.86949 0.87583 0.88176 0.88727 0.89240 0.89716 0.90156 0.90562 0.90936 0.91278 0.91591 0.91875 0.92132 0.92363 0.92570 0.92752 0.92912 0.93051 0.93172 0.93280 0.93383 0.93501 0.93669 0.93958 0.94513 0.95618 |
3.3875 3.2164 3.0557 2.9050 2.7640 2.6325 2.5099 2.3959 2.2903 2.1925 2.1023 2.0193 1.9432 1.8737 1.8105 1.7534 1.7021 1.6563 1.6158 1.5803 1.5494 1.5225 1.4986 1.4755 1.4494 1.4121 1.3479 1.2246 0.9791 |
3.97 3.75 3.54 3.34 3.16 3.00 2.85 2.70 2.57 2.45 2.34 2.24 2.15 2.07 1.99 1.93 1.87 1.81 1.77 1.72 1.69 1.66 1.63 1.60 1.57 1.52 1.44 1.30 1.02 |
0.82319 0.83258 0.84143 0.84975 0.85756 0.86486 0.87167 0.87802 0.88392 0.88939 0.89445 0.89911 0.90339 0.90731 0.91089 0.91414 0.91707 0.91971 0.92206 0.92415 0.92600 0.92764 0.92913 0.93057 0.93216 0.93429 0.93770 0.94384 0.95554 |
3.9337 3.7250 3.5284 3.3435 3.1702 3.0079 2.8565 2.7154 2.5843 2.4629 2.3506 2.2471 2.1519 2.0648 1.9853 1.9131 1.8479 1.7893 1.7370 1.6906 1.6496 1.6132 1.5801 1.5480 1.5126 1.4653 1.3896 1.2531 0.9932 |
4.70 4.42 4.16 3.91 3.68 3.48 3.28 3.10 2.94 2.79 2.65 2.52 2.40 2.30 2.20 2.12 2.04 1.97 1.91 1.85 1.80 1.76 1.72 1.68 1.64 1.58 1.49 1.33 1.04 |
|
x |
Male |
Female |
||||
A(x) |
a(x) |
e(x) |
A(x) |
a(x) |
e(x) |
|
1 Age nearest birthday |
2 Reversion or present value of one dollar due immediately upon death of a person of specified age |
3 Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age |
4 Expectation of life |
5 Reversion or present value of one dollar due immediately upon death of a person of specified age |
6 Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age |
7 Expectation of life |
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 |
0.04655 0.04149 0.04302 0.04479 0.04675 0.04885 0.05111 0.05349 0.05602 0.05867 0.06145 0.06435 0.06739 0.07056 0.07385 0.07723 0.08066 0.08404 0.08737 0.09060 0.09385 0.09729 0.10077 0.10449 0.10846 0.11261 0.11705 0.12166 0.12655 0.13163 |
19.0692 19.1704 19.1399 19.1044 19.0653 19.0233 18.9782 18.9304 18.8798 18.8269 18.7714 18.7134 18.6527 18.5892 18.5235 18.4558 18.3873 18.3197 18.2531 18.1885 18.1235 18.0548 17.9852 17.9108 17.8315 17.7484 17.6597 17.5676 17.4699 17.3683 |
74.44 74.00 73.04 72.07 71.09 70.10 69.12 68.13 67.14 66.15 65.16 64.17 63.18 62.20 61.21 60.23 59.26 58.30 57.35 56.42 55.50 54.57 53.66 52.73 51.80 50.88 49.94 49.01 48.07 47.14 |
0.03473 0.03036 0.03141 0.03269 0.03410 0.03562 0.03726 0.03897 0.04079 0.04270 0.04471 0.04683 0.04904 0.05135 0.05376 0.05624 0.05881 0.06139 0.06404 0.06684 0.06976 0.07282 0.07601 0.07940 0.08290 0.08659 0.09044 0.09449 0.09870 0.10310 |
19.3056 19.3930 19.3720 19.3465 19.3182 19.2878 19.2551 19.2208 19.1845 19.1462 19.1061 19.0638 19.0195 18.9733 18.9251 18.8755 18.8242 18.7726 18.7196 18.6637 18.6052 18.5439 18.4802 18.4126 18.3424 18.2687 18.1917 18.1108 18.0265 17.9387 |
79.78 79.27 78.30 77.33 76.34 75.36 74.37 73.38 72.39 71.40 70.41 69.42 68.43 67.44 66.45 65.46 64.48 63.50 62.53 61.55 60.58 59.61 58.64 57.66 56.69 55.72 54.75 53.77 52.80 51.83 |
x |
Male |
Female |
||||
A(x) |
a(x) |
e(x) |
A(x) |
a(x) |
e(x) |
|
1 Age nearest birthday |
2 Reversion or present value of one dollar due immediately upon death of a person of specified age |
3 Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age |
4 Expectation of life |
5 Reversion or present value of one dollar due immediately upon death of a person of specified age |
6 Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age |
7 Expectation of life |
30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 |
0.13701 0.14260 0.14850 0.15466 0.16102 0.16762 0.17442 0.18153 0.18882 0.19634 0.20416 0.21224 0.22064 0.22930 0.23816 0.24728 0.25668 0.26638 0.27625 0.28641 0.29689 0.30767 0.31887 0.33038 0.34236 0.35432 0.36701 0.37967 0.39257 0.40546 |
17.2607 17.1488 17.0308 16.9077 16.7806 16.6487 16.5128 16.3705 16.2249 16.0745 15.9180 15.7564 15.5886 15.4155 15.2383 15.0558 14.8680 14.6741 14.4767 14.2736 14.0640 13.8485 13.6245 13.3944 13.1550 12.9158 12.6620 12.4090 12.1509 11.8933 |
46.20 45.27 44.33 43.40 42.46 41.54 40.61 39.69 38.77 37.86 36.95 36.05 35.15 34.25 33.36 32.48 31.61 30.73 29.87 29.02 28.17 27.33 26.49 25.66 24.82 24.01 23.19 22.40 21.61 20.84 |
0.10768 0.11247 0.11751 0.12269 0.12809 0.13371 0.13954 0.14559 0.15187 0.15833 0.16504 0.17198 0.17924 0.18675 0.19448 0.20249 0.21079 0.21942 0.22836 0.23766 0.24718 0.25708 0.26738 0.27789 0.28875 0.29980 0.31147 0.32321 0.33522 0.34739 |
17.8470 17.7514 17.6506 17.5469 17.4389 17.3266 17.2100 17.0890 16.9636 16.8344 16.7003 16.5614 16.4162 16.2662 16.1115 15.9514 15.7855 15.6129 15.4343 15.2483 15.0579 14.8599 14.6540 14.4438 14.2269 14.0059 13.7725 13.5378 13.2976 13.0543 |
50.87 49.90 48.93 47.97 47.01 46.05 45.09 44.14 43.19 42.24 41.30 40.37 39.43 38.50 37.57 36.65 35.73 34.81 33.90 32.99 32.09 31.19 30.30 29.41 28.53 27.66 26.79 25.93 25.09 24.25 |
|
x |
Male |
Female |
||||
A(x) |
a(x) |
e(x) |
A(x) |
a(x) |
e(x) |
|
1 Age nearest birthday |
2 Reversion or present value of one dollar due immediately upon death of a person of specified age |
3 Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age |
4 Expectation of life |
5 Reversion or present value of one dollar due immediately upon death of a person of specified age |
6 Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age |
7 Expectation of life |
60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 |
0.41904 0.43250 0.44634 0.46026 0.47439 0.48863 0.50297 0.51760 0.53220 0.54691 0.56165 0.57658 0.59154 0.60636 0.62103 0.63582 0.65041 0.66496 0.67945 0.69363 0.70751 0.72169 0.73442 0.74825 0.76063 0.77268 0.78418 0.79514 0.80557 0.81545 |
11.6218 11.3527 11.0758 10.7976 10.5151 10.2304 9.9436 9.6512 9.3591 9.0651 8.7703 8.4718 8.1728 7.8766 7.5833 7.2875 6.9957 6.7048 6.4151 6.1316 5.8541 5.5706 5.3161 5.0396 4.7920 4.5512 4.3211 4.1020 3.8936 3.6960 |
20.07 19.32 18.58 17.85 17.13 16.43 15.75 15.07 14.41 13.77 13.14 12.52 11.92 11.34 10.77 10.22 9.69 9.17 8.67 8.19 7.73 7.27 6.87 6.44 6.06 5.70 5.36 5.05 4.75 4.47 |
0.36009 0.37298 0.38619 0.39956 0.41315 0.42704 0.44123 0.45564 0.47023 0.48509 0.50018 0.51553 0.53107 0.54678 0.56254 0.57852 0.59458 0.61059 0.62676 0.64271 0.65859 0.67446 0.68962 0.70547 0.72017 0.73429 0.74786 0.76087 0.77330 0.78516 |
12.8004 12.5427 12.2785 12.0112 11.7395 11.4619 11.1781 10.8899 10.5983 10.3012 9.9995 9.6925 9.3819 9.0678 8.7526 8.4331 8.1120 7.7919 7.4687 7.1498 6.8322 6.5149 6.2118 5.8949 5.6009 5.3188 5.0475 4.7873 4.5386 4.3016 |
23.42 22.60 21.79 21.00 20.21 19.44 18.68 17.92 17.18 16.46 15.74 15.03 14.34 13.66 13.00 12.35 11.72 11.10 10.50 9.92 9.36 8.81 8.30 7.78 7.31 6.86 6.44 6.05 5.68 5.33 |
|
x |
Male |
Female |
||||
A(x) |
a(x) |
e(x) |
A(x) |
a(x) |
e(x) |
|
1 Age nearest birthday |
2 Reversion or present value of one dollar due immediately upon death of a person of specified age |
3 Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age |
4 Expectation of life |
5 Reversion or present value of one dollar due immediately upon death of a person of specified age |
6 Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age |
7 Expectation of life |
90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 |
0.82480 0.83363 0.84195 0.84978 0.85712 0.86399 0.87041 0.87640 0.88197 0.88714 0.89193 0.89635 0.90042 0.90415 0.90757 0.91067 0.91347 0.91600 0.91825 0.92024 0.92199 0.92351 0.92483 0.92600 0.92713 0.92841 0.93023 0.93338 0.93944 0.95157 |
3.5090 3.3325 3.1661 3.0097 2.8629 2.7255 2.5971 2.4773 2.3659 2.2625 2.1668 2.0784 1.9971 1.9224 1.8542 1.7922 1.7361 1.6856 1.6406 1.6008 1.5659 1.5355 1.5091 1.4856 1.4630 1.4375 1.4011 1.3382 1.2170 0.9744 |
4.21 3.97 3.75 3.54 3.34 3.16 3.00 2.85 2.70 2.57 2.45 2.34 2.24 2.15 2.07 1.99 1.93 1.87 1.81 1.77 1.72 1.69 1.66 1.63 1.60 1.57 1.52 1.44 1.30 1.02 |
0.79644 0.80713 0.81724 0.82678 0.83576 0.84420 0.85210 0.85948 0.86636 0.87276 0.87870 0.88419 0.88926 0.89392 0.89819 0.90209 0.90563 0.90883 0.91171 0.91428 0.91656 0.91858 0.92037 0.92199 0.92356 0.92529 0.92760 0.93131 0.93803 0.95087 |
4.0761 3.8624 3.6602 3.4694 3.2898 3.1212 2.9633 2.8157 2.6781 2.5501 2.4314 2.3216 2.2202 2.1271 2.0417 1.9637 1.8929 1.8289 1.7713 1.7199 1.6743 1.6340 1.5983 1.5658 1.5345 1.4999 1.4537 1.3795 1.2452 0.9884 |
5.01 4.70 4.42 4.16 3.91 3.68 3.48 3.28 3.10 2.94 2.79 2.65 2.52 2.40 2.30 2.20 2.12 2.04 1.97 1.91 1.85 1.80 1.76 1.72 1.68 1.64 1.58 1.49 1.33 1.04 |
|
x |
Male |
Female |
||||
A(x) |
a(x) |
e(x) |
A(x) |
a(x) |
e(x) |
|
1 Age nearest birthday |
2 Reversion or present value of one dollar due immediately upon death of a person of specified age |
3 Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age |
4 Expectation of life |
5 Reversion or present value of one dollar due immediately upon death of a person of specified age |
6 Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age |
7 Expectation of life |
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 |
0.03781 0.03242 0.03364 0.03511 0.03676 0.03854 0.04047 0.04253 0.04472 0.04702 0.04945 0.05199 0.05467 0.05748 0.06040 0.06341 0.06645 0.06944 0.07238 0.07520 0.07803 0.08104 0.08408 0.08737 0.09088 0.09458 0.09857 0.10271 0.10714 0.11175 |
17.4946 17.5926 17.5704 17.5436 17.5137 17.4813 17.4462 17.4089 17.3690 17.3272 17.2831 17.2368 17.1881 17.1370 17.0841 17.0293 16.9740 16.9197 16.8664 16.8151 16.7636 16.7089 16.6536 16.5939 16.5301 16.4628 16.3903 16.3150 16.2346 16.1507 |
74.44 74.00 73.04 72.07 71.09 70.10 69.12 68.13 67.14 66.15 65.16 64.17 63.18 62.20 61.21 60.23 59.26 58.30 57.35 56.42 55.50 54.57 53.66 52.73 51.80 50.88 49.94 49.01 48.07 47.14 |
0.02760 0.02295 0.02374 0.02474 0.02588 0.02712 0.02846 0.02988 0.03139 0.03299 0.03467 0.03646 0.03834 0.04030 0.04236 0.04448 0.04668 0.04888 0.05114 0.05354 0.05606 0.05872 0.06148 0.06444 0.06751 0.07076 0.07416 0.07776 0.08151 0.08544 |
17.6803 17.7647 17.7504 17.7321 17.7114 17.6889 17.6645 17.6387 17.6114 17.5822 17.5517 17.5191 17.4850 17.4493 17.4119 17.3734 17.3334 17.2934 17.2523 17.2087 17.1629 17.1147 17.0644 17.0106 16.9548 16.8957 16.8339 16.7686 16.7003 16.6289 |
79.78 79.27 78.30 77.33 76.34 75.36 74.37 73.38 72.39 71.40 70.41 69.42 68.43 67.44 66.45 65.46 64.48 63.50 62.53 61.55 60.58 59.61 58.64 57.66 56.69 55.72 54.75 53.77 52.80 51.83 |
|
x |
Male |
Female |
||||
A(x) |
a(x) |
e(x) |
A(x) |
a(x) |
e(x) |
|
1 Age nearest birthday |
2 Reversion or present value of one dollar due immediately upon death of a person of specified age |
3 Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age |
4 Expectation of life |
5 Reversion or present value of one dollar due immediately upon death of a person of specified age |
6 Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age |
7 Expectation of life |
|
30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 |
0.11666 0.12180 0.12723 0.13293 0.13882 0.14496 0.15131 0.15797 0.16481 0.17190 0.17929 0.18696 0.19494 0.20320 0.21168 0.22044 0.22948 0.23884 0.24839 0.25824 0.26845 0.27897 0.28995 0.30126 0.31307 0.32489 0.33750 0.35008 0.36295 |
16.0614 15.9682 15.8693 15.7658 15.6587 15.5471 15.4318 15.3106 15.1863 15.0576 14.9231 14.7839 14.6388 14.4886 14.3345 14.1753 14.0111 13.8409 13.6673 13.4882 13.3027 13.1115 12.9120 12.7064 12.4917 12.2769 12.0478 11.8191 11.5852 |
46.20 45.27 44.33 43.40 42.46 41.54 40.61 39.69 38.77 37.86 36.95 36.05 35.15 34.25 33.36 32.48 31.61 30.73 29.87 29.02 28.17 27.33 26.49 25.66 24.82 24.01 23.19 22.40 21.61 |
0.08956 0.09387 0.09844 0.10315 0.10807 0.11320 0.11855 0.12412 0.12992 0.13590 0.14212 0.14860 0.15539 0.16243 0.16971 0.17727 0.18513 0.19334 0.20186 0.21077 0.21991 0.22945 0.23942 0.24961 0.26017 0.27094 0.28238 0.29391 0.30573 |
16.5540 16.4757 16.3927 16.3071 16.2177 16.1244 16.0271 15.9259 15.8206 15.7119 15.5987 15.4811 15.3576 15.2296 15.0973 14.9599 14.8170 14.6679 14.5130 14.3511 14.1849 14.0115 13.8304 13.6451 13.4533 13.2574 13.0495 12.8400 12.6251 |
50.87 49.90 48.93 47.97 47.01 46.05 45.09 44.14 43.19 42.24 41.30 40.37 39.43 38.50 37.57 36.65 35.73 34.81 33.90 32.99 32.09 31.19 30.30 29.41 28.53 27.66 26.79 25.93 25.09 |
|
x |
Male |
Female |
||||
A(x) |
a(x) |
e(x) |
A(x) |
a(x) |
e(x) |
|
1 Age nearest birthday |
2 Reversion or present value of one dollar due immediately upon death of a person of specified age |
3 Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age |
4 Expectation of life |
5 Reversion or present value of one dollar due immediately upon death of a person of specified age |
6 Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age |
7 Expectation of life |
59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 |
0.37582 0.38944 0.40296 0.41692 0.43097 0.44528 0.45974 0.47434 0.48926 0.50421 0.51928 0.53443 0.54982 0.56527 0.58060 0.59581 0.61119 0.62640 0.64159 0.65675 0.67162 0.68619 0.70113 0.71454 0.72916 0.74227 0.75504 0.76725 0.77891 |
11.3513 11.1037 10.8580 10.6043 10.3488 10.0888 9.8260 9.5607 9.2894 9.0178 8.7438 8.4684 8.1888 7.9080 7.6293 7.3528 7.0733 6.7970 6.5209 6.2453 5.9751 5.7102 5.4386 5.1949 4.9292 4.6909 4.4589 4.2369 4.0251 |
20.84 20.07 19.32 18.58 17.85 17.13 16.43 15.75 15.07 14.41 13.77 13.14 12.52 11.92 11.34 10.77 10.22 9.69 9.17 8.67 8.19 7.73 7.27 6.87 6.44 6.06 5.70 5.36 5.05 |
0.31774 0.33032 0.34311 0.35627 0.36962 0.38322 0.39716 0.41145 0.42600 0.44076 0.45585 0.47120 0.48688 0.50277 0.51890 0.53511 0.55160 0.56821 0.58481 0.60161 0.61823 0.63482 0.65143 0.66732 0.68400 0.69949 0.71438 0.72872 0.74249 |
12.4069 12.1783 11.9457 11.7065 11.4639 11.2167 10.9634 10.7036 10.4392 10.1709 9.8967 9.6176 9.3327 9.0439 8.7508 8.4561 8.1565 7.8546 7.5529 7.2474 6.9455 6.6440 6.3420 6.0532 5.7501 5.4685 5.1979 4.9372 4.6869 |
24.25 23.42 22.60 21.79 21.00 20.21 19.44 18.68 17.92 17.18 16.46 15.74 15.03 14.34 13.66 13.00 12.35 11.72 11.10 10.50 9.92 9.36 8.81 8.30 7.78 7.31 6.86 6.44 6.05 |
|
x |
Male |
Female |
||||
A(x) |
a(x) |
e(x) |
A(x) |
a(x) |
e(x) |
|
1 Age nearest birthday |
2 Reversion or present value of one dollar due immediately upon death of a person of specified age |
3 Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age |
4 Expectation of life |
5 Reversion or present value of one dollar due immediately upon death of a person of specified age |
6 Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age |
7 Expectation of life |
88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 |
0.79000 0.80054 0.81052 0.81995 0.82886 0.83723 0.84510 0.85248 0.85938 0.86581 0.87181 0.87737 0.88253 0.88730 0.89169 0.89571 0.89940 0.90275 0.90578 0.90851 0.91095 0.91310 0.91499 0.91664 0.91806 0.91933 0.92055 0.92192 0.92387 |
3.8234 3.6320 3.4505 3.2790 3.1173 2.9650 2.8220 2.6879 2.5626 2.4456 2.3366 2.2355 2.1417 2.0551 1.9753 1.9021 1.8352 1.7742 1.7191 1.6695 1.6252 1.5861 1.5517 1.5219 1.4959 1.4728 1.4507 1.4258 1.3903 |
4.75 4.47 4.21 3.97 3.75 3.54 3.34 3.16 3.00 2.85 2.70 2.57 2.45 2.34 2.24 2.15 2.07 1.99 1.93 1.87 1.81 1.77 1.72 1.69 1.66 1.63 1.60 1.57 1.52 |
0.75568 0.76828 0.78027 0.79165 0.80244 0.81263 0.82223 0.83125 0.83972 0.84763 0.85502 0.86190 0.86828 0.87419 0.87965 0.88467 0.88928 0.89349 0.89731 0.90077 0.90388 0.90666 0.90912 0.91130 0.91323 0.91498 0.91667 0.91854 0.92102 |
4.4472 4.2183 4.0003 3.7934 3.5974 3.4122 3.2377 3.0737 2.9199 2.7760 2.6417 2.5167 2.4007 2.2932 2.1940 2.1028 2.0190 1.9426 1.8731 1.8102 1.7537 1.7032 1.6584 1.6188 1.5837 1.5519 1.5211 1.4873 1.4421 |
5.68 5.33 5.01 4.70 4.42 4.16 3.91 3.68 3.48 3.28 3.10 2.94 2.79 2.65 2.52 2.40 2.30 2.20 2.12 2.04 1.97 1.91 1.85 1.80 1.76 1.72 1.68 1.64 1.58 |
|
x |
Male |
Female |
||||
A(x) |
a(x) |
e(x) |
A(x) |
a(x) |
e(x) |
|
1 Age nearest birthday |
2 Reversion or present value of one dollar due immediately upon death of a person of specified age |
3 Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age |
4 Expectation of life |
5 Reversion or present value of one dollar due immediately upon death of a person of specified age |
6 Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age |
7 Expectation of life |
117 118 119 |
0.92726 0.93382 0.94701 |
1.3287 1.2095 0.9698 |
1.44 1.30 1.02 |
0.92502 0.93228 0.94625 |
1.3695 1.2374 0.9836 |
1.49 1.33 1.04 |
|
x |
Male |
Female |
||||
A(x) |
a(x) |
e(x) |
A(x) |
a(x) |
e(x) |
|
1 Age nearest birthday |
2 Reversion or present value of one dollar due immediately upon death of a person of specified age |
3 Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age |
4 Expectation of life |
5 Reversion or present value of one dollar due immediately upon death of a person of specified age |
6 Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age |
7 Expectation of life |
0 1 2 3 4 5 6 7 8 |
0.03138 0.02572 0.02670 0.02792 0.02930 0.03082 0.03248 0.03425 0.03616 |
16.1439 16.2382 16.2219 16.2016 16.1785 16.1533 16.1256 16.0960 16.0643 |
74.44 74.00 73.04 72.07 71.09 70.10 69.12 68.13 67.14 |
0.02250 0.01764 0.01822 0.01901 0.01993 0.02094 0.02204 0.02322 0.02447 |
16.2918 16.3728 16.3631 16.3499 16.3347 16.3179 16.2994 16.2799 16.2590 |
79.78 79.27 78.30 77.33 76.34 75.36 74.37 73.38 72.39 |
|
x |
Male |
Female |
||||
A(x) |
a(x) |
e(x) |
A(x) |
a(x) |
e(x) |
|
1 Age nearest birthday |
2 Reversion or present value of one dollar due immediately upon death of a person of specified age |
3 Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age |
4 Expectation of life |
5 Reversion or present value of one dollar due immediately upon death of a person of specified age |
6 Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age |
7 Expectation of life |
9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 |
0.03817 0.04030 0.04254 0.04491 0.04740 0.05000 0.05268 0.05539 0.05804 0.06063 0.06309 0.06555 0.06818 0.07083 0.07372 0.07683 0.08012 0.08368 0.08740 0.09140 0.09558 0.10006 0.10475 0.10974 0.11500 0.12044 0.12614 0.13204 0.13826 0.14466 |
16.0308 15.9953 15.9580 15.9185 15.8769 15.8337 15.7890 15.7438 15.6997 15.6567 15.6156 15.5747 15.5308 15.4866 15.4386 15.3868 15.3319 15.2725 15.2106 15.1440 15.0743 14.9998 14.9216 14.8384 14.7509 14.6602 14.5652 14.4670 14.3633 14.2567 |
66.15 65.16 64.17 63.18 62.20 61.21 60.23 59.26 58.30 57.35 56.42 55.50 54.57 53.66 52.73 51.80 50.88 49.94 49.01 48.07 47.14 46.20 45.27 44.33 43.40 42.46 41.54 40.61 39.69 38.77 |
0.02582 0.02723 0.02875 0.03034 0.03201 0.03377 0.03559 0.03747 0.03935 0.04128 0.04334 0.04551 0.04780 0.05020 0.05278 0.05547 0.05833 0.06133 0.06452 0.06786 0.07137 0.07506 0.07894 0.08306 0.08733 0.09180 0.09648 0.10138 0.10649 0.11182 |
16.2366 16.2130 16.1878 16.1612 16.1333 16.1040 16.0738 16.0424 16.0111 15.9790 15.9447 15.9085 15.8703 15.8303 15.7873 15.7425 15.6949 15.6449 15.5918 15.5362 15.4778 15.4162 15.3517 15.2829 15.2118 15.1373 15.0593 14.9778 14.8927 14.8038 |
71.40 70.41 69.42 68.43 67.44 66.45 65.46 64.48 63.50 62.53 61.55 60.58 59.61 58.64 57.66 56.69 55.72 54.75 53.77 52.80 51.83 50.87 49.90 48.93 47.97 47.01 46.05 45.09 44.14 43.19 |
|
x |
Male |
Female |
||||
A(x) |
a(x) |
e(x) |
A(x) |
a(x) |
e(x) |
|
1 Age nearest birthday |
2 Reversion or present value of one dollar due immediately upon death of a person of specified age |
3 Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age |
4 Expectation of life |
5 Reversion or present value of one dollar due immediately upon death of a person of specified age |
6 Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age |
7 Expectation of life |
39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 |
0.15131 0.15827 0.16551 0.17307 0.18093 0.18900 0.19736 0.20602 0.21501 0.22421 0.23372 0.24360 0.25381 0.26451 0.27556 0.28716 0.29877 0.31121 0.32364 0.33640 0.34918 0.36276 0.37625 0.39023 0.40434 0.41874 0.43332 0.44807 0.46320 0.47838 |
14.1460 14.0299 13.9094 13.7834 13.6526 13.5180 13.3787 13.2345 13.0847 12.9315 12.7731 12.6085 12.4383 12.2601 12.0759 11.8828 11.6894 11.4821 11.2750 11.0624 10.8496 10.6234 10.3985 10.1657 9.9307 9.6908 9.4479 9.2020 8.9500 8.6971 |
37.86 36.95 36.05 35.15 34.25 33.36 32.48 31.61 30.73 29.87 29.02 28.17 27.33 26.49 25.66 24.82 24.01 23.19 22.40 21.61 20.84 20.07 19.32 18.58 17.85 17.13 16.43 15.75 15.07 14.41 |
0.11734 0.12310 0.12911 0.13544 0.14202 0.14884 0.15595 0.16336 0.17113 0.17923 0.18771 0.19645 0.20560 0.21519 0.22502 0.23524 0.24569 0.25684 0.26809 0.27966 0.29144 0.30382 0.31645 0.32948 0.34272 0.35625 0.37016 0.38445 0.39904 0.41389 |
14.7119 14.6159 14.5158 14.4103 14.3007 14.1870 14.0686 13.9451 13.8157 13.6809 13.5395 13.3939 13.2415 13.0818 12.9180 12.7477 12.5736 12.3879 12.2005 12.0076 11.8115 11.6052 11.3947 11.1777 10.9571 10.7317 10.5001 10.2619 10.0188 9.7716 |
42.24 41.30 40.37 39.43 38.50 37.57 36.65 35.73 34.81 33.90 32.99 32.09 31.19 30.30 29.41 28.53 27.66 26.79 25.93 25.09 24.25 23.42 22.60 21.79 21.00 20.21 19.44 18.68 17.92 17.18 |
|
x |
Male |
Female |
||||
A(x) |
a(x) |
e(x) |
A(x) |
a(x) |
e(x) |
|
1 Age nearest birthday |
2 Reversion or present value of one dollar due immediately upon death of a person of specified age |
3 Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age |
4 Expectation of life |
5 Reversion or present value of one dollar due immediately upon death of a person of specified age |
6 Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age |
7 Expectation of life |
69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 |
0.49373 0.50920 0.52494 0.54078 0.55653 0.57220 0.58807 0.60379 0.61954 0.63528 0.65075 0.66595 0.68157 0.69559 0.71093 0.72470 0.73813 0.75099 0.76329 0.77501 0.78615 0.79672 0.80672 0.81617 0.82507 0.83343 0.84129 0.84863 0.85550 0.86189 |
8.4414 8.1838 7.9216 7.6576 7.3952 7.1342 6.8698 6.6078 6.3456 6.0833 5.8255 5.5724 5.3122 5.0786 4.8229 4.5936 4.3699 4.1556 3.9508 3.7555 3.5699 3.3939 3.2272 3.0698 2.9216 2.7822 2.6514 2.5289 2.4146 2.3081 |
13.77 13.14 12.52 11.92 11.34 10.77 10.22 9.69 9.17 8.67 8.19 7.73 7.27 6.87 6.44 6.06 5.70 5.36 5.05 4.75 4.47 4.21 3.97 3.75 3.54 3.34 3.16 3.00 2.85 2.70 |
0.42909 0.44462 0.46050 0.47666 0.49309 0.50965 0.52654 0.54359 0.56068 0.57802 0.59520 0.61239 0.62966 0.64620 0.66361 0.67980 0.69539 0.71044 0.72491 0.73878 0.75205 0.76471 0.77674 0.78815 0.79894 0.80912 0.81871 0.82770 0.83612 0.84399 |
9.5183 9.2597 8.9949 8.7258 8.4521 8.1762 7.8949 7.6108 7.3262 7.0373 6.7510 6.4646 6.1769 5.9014 5.6113 5.3416 5.0819 4.8312 4.5902 4.3590 4.1379 3.9271 3.7267 3.5366 3.3568 3.1872 3.0275 2.8777 2.7374 2.6063 |
16.46 15.74 15.03 14.34 13.66 13.00 12.35 11.72 11.10 10.50 9.92 9.36 8.81 8.30 7.78 7.31 6.86 6.44 6.05 5.68 5.33 5.01 4.70 4.42 4.16 3.91 3.68 3.48 3.28 3.10 |
|
x |
Male |
Female |
||||
A(x) |
a(x) |
e(x) |
A(x) |
a(x) |
e(x) |
|
1 Age nearest birthday |
2 Reversion or present value of one dollar due immediately upon death of a person of specified age |
3 Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age |
4 Expectation of life |
5 Reversion or present value of one dollar due immediately upon death of a person of specified age |
6 Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age |
7 Expectation of life |
99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 |
0.86784 0.87335 0.87845 0.88314 0.88746 0.89140 0.89499 0.89825 0.90117 0.90378 0.90610 0.90813 0.90989 0.91142 0.91278 0.91408 0.91554 0.91762 0.92125 0.92828 0.94250 |
2.2090 2.1172 2.0323 1.9541 1.8822 1.8165 1.7566 1.7024 1.6537 1.6102 1.5716 1.5378 1.5085 1.4829 1.4603 1.4386 1.4143 1.3796 1.3193 1.2021 0.9652 |
2.57 2.45 2.34 2.24 2.15 2.07 1.99 1.93 1.87 1.81 1.77 1.72 1.69 1.66 1.63 1.60 1.57 1.52 1.44 1.30 1.02 |
0.85132 0.85813 0.86444 0.87027 0.87564 0.88057 0.88507 0.88917 0.89287 0.89621 0.89918 0.90183 0.90417 0.90624 0.90811 0.90992 0.91190 0.91455 0.91882 0.92662 0.94167 |
2.4842 2.3707 2.2656 2.1685 2.0790 1.9969 1.9219 1.8537 1.7920 1.7364 1.6868 1.6428 1.6038 1.5693 1.5381 1.5080 1.4750 1.4308 1.3596 1.2297 0.9789 |
2.94 2.79 2.65 2.52 2.40 2.30 2.20 2.12 2.04 1.97 1.91 1.85 1.80 1.76 1.72 1.68 1.64 1.58 1.49 1.33 1.04 |
n |
V^n |
a(n) |
1 Number of years |
2 Present worth of one dollar payable at the end of a certain number of years |
3 Present worth of an annuity of one dollar payable at the end of each year, for a certain number of years |
Reversion |
Annuity |
|
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 |
0.966184 0.933511 0.901943 0.871442 0.841973 0.813501 0.785991 0.759412 0.733731 0.708919 0.684946 0.661783 0.639404 0.617782 0.596891 0.576706 0.557204 0.538361 0.520156 0.502566 0.485571 0.469151 0.453286 0.437957 0.423147 0.408838 0.395012 0.381654 0.368748 0.356278 |
0.9662 1.8997 2.8016 3.6731 4.5151 5.3286 6.1145 6.8740 7.6077 8.3166 9.0016 9.6633 10.3027 10.9205 11.5174 12.0941 12.6513 13.1897 13.7098 14.2124 14.6980 15.1671 15.6204 16.0584 16.4815 16.8904 17.2854 17.6670 18.0358 18.3920 |
n |
V^n |
a(n) |
1 Number of years |
2 Present worth of one dollar payable at the end of a certain number of years |
3 Present worth of an annuity of one dollar payable at the end of each year, for a certain number of years |
Reversion |
Annuity |
|
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 |
0.961538 0.924556 0.888996 0.854804 0.821927 0.790315 0.759918 0.730690 0.702587 0.675564 0.649581 0.624597 0.600574 0.577475 0.555265 0.533908 0.513373 0.493628 0.474642 0.456387 0.438834 0.421955 0.405726 0.390121 0.375117 0.360689 0.346817 0.333477 0.320651 0.308319 |
0.9615 1.8861 2.7751 3.6299 4.4518 5.2421 6.0021 6.7327 7.4353 8.1109 8.7605 9.3851 9.9856 10.5631 11.1184 11.6523 12.1657 12.6593 13.1339 13.5903 14.0292 14.4511 14.8568 15.2470 15.6221 15.9828 16.3296 16.6631 16.9837 17.2920 |
n |
V^n |
a(n) |
1 Number of years |
2 Present worth of one dollar payable at the end of a certain number of years |
3 Present worth of an annuity of one dollar payable at the end of each year, for a certain number of years |
Reversion |
Annuity |
|
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 |
0.956938 0.915730 0.876297 0.838561 0.802451 0.767896 0.734828 0.703185 0.672904 0.643928 0.616199 0.589664 0.564272 0.539973 0.516720 0.494469 0.473176 0.452800 0.433302 0.414643 0.396787 0.379701 0.363350 0.347703 0.332731 0.318402 0.304691 0.291571 0.279015 0.267000 |
0.9569 1.8727 2.7490 3.5875 4.3900 5.1579 5.8927 6.5959 7.2688 7.9127 8.5289 9.1186 9.6829 10.2228 10.7395 11.2340 11.7072 12.1600 12.5933 13.0079 13.4047 13.7844 14.1478 14.4955 14.8282 15.1466 15.4513 15.7429 16.0219 16.2889 |
n |
V^n |
a(n) |
1 Number of years |
2 Present worth of one dollar payable at the end of a certain number of years |
3 Present worth of an annuity of one dollar payable at the end of each year, for a certain number of years |
Reversion |
Annuity |
|
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 |
0.952381 0.907029 0.863838 0.822702 0.783526 0.746215 0.710681 0.676839 0.644609 0.613913 0.584679 0.556837 0.530321 0.505068 0.481017 0.458112 0.436297 0.415521 0.395734 0.376889 0.358942 0.341850 0.325571 0.310068 0.295303 0.281241 0.267848 0.255094 0.242946 0.231377 |
0.9524 1.8594 2.7232 3.5460 4.3295 5.0757 5.7864 6.4632 7.1078 7.7217 8.3064 8.8633 9.3936 9.8986 10.3797 10.8378 11.2741 11.6896 12.0853 12.4622 12.8212 13.1630 13.4886 13.7986 14.0939 14.3752 14.6430 14.8981 15.1411 15.3725 |
n |
V^n |
a(n) |
1 Number of years |
2 Present worth of one dollar payable at the end of a certain number of years |
3 Present worth of an annuity of one dollar payable at the end of each year, for a certain number of years |
Reversion |
Annuity |
|
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 |
0.947867 0.898452 0.851614 0.807217 0.765134 0.725246 0.687437 0.651599 0.617629 0.585431 0.554911 0.525982 0.498561 0.472569 0.447933 0.424581 0.402447 0.381466 0.361579 0.342729 0.324862 0.307926 0.291873 0.276657 0.262234 0.248563 0.235605 0.223322 0.211679 0.200644 |
0.9479 1.8463 2.6979 3.5052 4.2703 4.9955 5.6830 6.3346 6.9522 7.5376 8.0925 8.6185 9.1171 9.5896 10.0376 10.4622 10.8646 11.2461 11.6077 11.9504 12.2752 12.5832 12.8750 13.1517 13.4139 13.6625 13.8981 14.1214 14.3331 14.5337 |
| n | V^n |
a(n) |
1 Number of years |
2 Present worth of one dollar payable at the end of a certain number of years |
3 Present worth of an annuity of one dollar payable at the end of each year, for a certain number of years |
Reversion |
Annuity |
|
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 |
0.943396 0.889996 0.839619 0.792094 0.747258 0.704961 0.665057 0.627412 0.591898 0.558395 0.526788 0.496969 0.468839 0.442301 0.417265 0.393646 0.371364 0.350344 0.330513 0.311805 0.294155 0.277505 0.261797 0.246979 0.232999 0.219810 0.207368 0.195630 0.184557 0.174110 |
0.9434 1.8334 2.6730 3.4651 4.2124 4.9173 5.5824 6.2098 6.8017 7.3601 7.8869 8.3838 8.8527 9.2950 9.7122 10.1059 10.4773 10.8276 11.1581 11.4699 11.7641 12.0416 12.3034 12.5504 12.7834 13.0032 13.2105 13.4062 13.5907 13.7648 |
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.
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.