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A ten-year term insurance is be issued to a life aged 50. The sum insured is $200,000 and payable immediately upon death. Premium payments are annual in advance. a) Using the SOA Standard Ultimate Life Table at i = 5% and UDD, compute the net annual premium determined by the equivalence principle. b) Find the probability that this contract makes a profit. c) Compute the gross premium determined by the equivalence principle if the initial expense is $500 plus 10% of the first premium, and if there is a renewal expense of 2% of the annual premium payment for the second and all subsequent premium payments.

A ten-year term insurance is be issued to a life aged 50. The sum insured is $200,000 and payable immediately upon death. Premium payments are annual in advance. a) Using the SOA Standard Ultimate Life Table at i = 5% and UDD, compute the net annual premium determined by the equivalence principle. b) Find the probability that this contract makes a profit. c) Compute the gross premium determined by the equivalence principle if the initial expense is $500 plus 10% of the first premium, and if there is a renewal expense of 2% of the annual premium payment for the second and all subsequent premium payments.

ENGR.ECONOMIC ANALYSIS
ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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A ten-year term insurance is be issued to a life aged 50. The sum insured is $200,000 and payable immediately upon death. Premium payments are annual in advance.

  1. a) Using the SOA Standard Ultimate Life Table at i = 5% and UDD, compute the net annual premium determined by the equivalence principle.
  2. b) Find the probability that this contract makes a profit.
  3. c) Compute the gross premium determined by the equivalence principle if the initial expense is $500 plus 10% of the first premium, and if there is a renewal expense of 2% of the annual premium payment for the second and all subsequent premium payments.
Standard Ultimate Life Table: Basic Functions and Single Net Premiums at i = 0.05 %3D ä, ä A x:10 ä :201 „E, 10x 20 E, x:201 x, 96,305.8 0.003792 14.6491 0.30243 0.11644 7.9379 0.62201 12.3024 0.41417 0.76493 0.57457 0.28641 61 61 0.004234 14.3861 0.31495 0.12506 7.9181 0.62295 12.2145 0.41836 0.76276 0.57003 0.27698 62 95,940.6 95,534.4 95,082.5 94,579.7 62 7.8960 0.62400 12.1174 0.42298 0.76033 0.56496 0.26674 63 0.004730 0.005288 63 14.1151 0.32785 0.13421 13.8363 0.34113 0.14392 7.8712 0.62518 12.0101 0.42809 0.75760 0.55932 0.25569 64 64 0.005915 13.5498 0.35477 0.15420 7.8435 0.62650 11.8920 0.43371. 0.75455 0.55305 0.24381 65 65 94,020.3 0.006619 13.2557 0.36878 0.16507 7.8126 0.62797 11.7622 0.43990 0.75114 0.54609 0.23112 66 66 0.007409 12.9542 0.38313 0.17654 7.7781 0.62961 11.6199 0.44667 0.74732 0.53836 0.21764 67 93,398.1 92,706.1 91,936.9 91,082.4 67 0.008297 12.6456 0.39783 0.18862 7.7396 0.63145 11.4643 0.45408 0.74305 0.52981 0.20343 68 68 0.009294 12.3302 0.41285 0.20133 7.6968 0.63349 11.2949 0.46215 0.73828 0.52036 0.18856 69 69 0.010413 12.0083 0.42818 0.21467 7.6491 0.63576 11.1109 0.47091 0.73295 0.50994 0.17313 70 70 90,134.0 0.011670 11.6803 0.44379 0.22864 7.5961 0.63828 10.9118 0.48039 0.72701 0.49848 0.15730 71 71 11.3468 0.45968 0.24324 7.5373 0.64108 10.6974 0.49060 0.72039 0.48590 0.14122 72 89,082.1 87,916.8 86,627.6 72 0.013081 0.014664 11.0081 0.47580 0.25847 7.4721 0.64419 10.4675 0.50155 0.71303 0.47215 0.12511 73 73 0.016440 10.6649 0.49215 0.27433 7.3999 0.64762 10.2221 0.51323 0.70483 0.45715 0.10918 74 74 85,203.5 0.018433 10.3178 0.50868 0.29079 7.3203 0.65142 9.9616 0.52564 0.69574 0.44085 0.09368 75 75 0.020668 9.9674 0.52536 0.30783 7.2325 0.65560 9.6866 0.53873 0.68566 0.42323 0.07887 76 76 83,632.9 9.6145 0.54217 0.32544 7.1360 0.66019 9.3980. 0.55247 0.67450 0.40427 0.06500 77 81,904.3 80,006.2 77,927.4 77 0.023175 0.025984 9.2598 0.55906 0.34359 7.0302 0.66523 9.0970 0.56681 0.66217 0.38396 0.05230 78 78 0.029132 8.9042 0.57599 0.36224 6.9146 0.67074 8.7850 0.58166 0.64859 "0.36235 0.04096 79 79 0.032658 8.5484 0.59293 0.38134 6.7885 0.67674 8.4639 0.59696 0.63365 0.33952 0.03113 80 80 75,657.2 8.1934 0.60984 0.40086 6.6517 0.68325 8.1354 0.61260 0.61727 0.31556 0.02286 81 73,186.3 70,507.2 67,614.6 81 0.036607 0.041025 7.8401 0.62666 0.42075 6.5037 0.69030 7.8018 0.62848 0.59936 0.29064 0.01616 82 82 0.045968 7.4893 0.64336 0.44094 6.3443 0.69789 7.4651 0.64452 0.57985 0.26498 0.01094 83 83 0.051493 7.1421 0.65990 0.46137 6.1735 0.70602 7.1275 0.66059 0.55868 0.23882 0.00706 84 84 64,506.5 6.7993 0.67622 0.48199 5.9915 0.71469 6.7910 0.67662 0.53581 0.21250 0.00431 85 85 61,184.9 0.057665 0.064554 6.4619 0.69229 0.50272 5.7986 0.72388 6.4574 0.69250 0.51122 0.18635 0.00248 86 86 57,656.7 0.072237 6.1308 0.70806 0.52349 5.5954 0.73355 6.1285 0.70817 0.48492 0.16079 0.00133 87 87 53,934.7 88 50,038.6 0.080798 5.8068 0.72349 0.54422 5.3828 0.74368 5.8057 0.72354 0.45697 0.13621 0.00066 88 5.4908 0.73853 0.56484 5.1620 0.75419 5.4903 0.73856 0.42748 0.11305 0.00030 89 45,995.6 41,841.1 89 0.090326 0.75317 0.58528 4.9346 0.76502 5.1833 0.75317 0.39659 0.09168 0.00012 90 90 0.100917 5.1835 0.112675 4.8858 0.76735 0.60545 4.7021 0.77609 4.8857 0.76735 0.36453 0.07244 0.00005 91 37,618.6 33,379.9 29,183.8 25,094.3 21,178.3 91 0.125708 4.5981 0.78104 0.62529 4.4665 0.78731 4.5981 0.78104 0.33158 0.05559 0.00002 92 92 0.140128 4.3213 0.79423 0.64472 4.2299 0.79858 4.3213 0.79423 0.29808 0.04128 0.00000 93 93 4.0556 0.80688 0.66368 3.9945 0.80979 4.0556 0.80688 0.26445 0.02955 0.00000 94 94 0.156052 3.8017 0.81897 0.68209 3.7624 0.82084 3.8017 0.81897 0.23116 0.02029 0.00000 95 95 0.173599 0.192887 3.5597 0.83049 0.69991 3.5356 0.83164 3.5597 0.83049 0.19872 1330 0.00000 96 17,501.8 14,125.9 11,102.5 96 0.214030 3.3300 0.84143 0.71708 3.3159 0.84210 3.3300 0.84143 0.16765 0.00827 0.00000 97 97 0.237134 3.1127 0.85177 0.73356 3.1050 0.85214 3.1127 0.85177 0.13850 0.00485 0.00000 98 98 0.262294 2.9079 0.86153 0.74930 2.9039 0.86172 2.9079 0.86153 0.11173 0.00266 0.00000 99 99 8,469.7 6,248.2 0.289584 2.7156 0.87068 0.76427 2.7137 0.87078 2.7156 0.87068 0.08777 0.00136 0.00000 100 100 心+
Transcribed Image Text:Standard Ultimate Life Table: Basic Functions and Single Net Premiums at i = 0.05 %3D ä, ä A x:10 ä :201 „E, 10x 20 E, x:201 x, 96,305.8 0.003792 14.6491 0.30243 0.11644 7.9379 0.62201 12.3024 0.41417 0.76493 0.57457 0.28641 61 61 0.004234 14.3861 0.31495 0.12506 7.9181 0.62295 12.2145 0.41836 0.76276 0.57003 0.27698 62 95,940.6 95,534.4 95,082.5 94,579.7 62 7.8960 0.62400 12.1174 0.42298 0.76033 0.56496 0.26674 63 0.004730 0.005288 63 14.1151 0.32785 0.13421 13.8363 0.34113 0.14392 7.8712 0.62518 12.0101 0.42809 0.75760 0.55932 0.25569 64 64 0.005915 13.5498 0.35477 0.15420 7.8435 0.62650 11.8920 0.43371. 0.75455 0.55305 0.24381 65 65 94,020.3 0.006619 13.2557 0.36878 0.16507 7.8126 0.62797 11.7622 0.43990 0.75114 0.54609 0.23112 66 66 0.007409 12.9542 0.38313 0.17654 7.7781 0.62961 11.6199 0.44667 0.74732 0.53836 0.21764 67 93,398.1 92,706.1 91,936.9 91,082.4 67 0.008297 12.6456 0.39783 0.18862 7.7396 0.63145 11.4643 0.45408 0.74305 0.52981 0.20343 68 68 0.009294 12.3302 0.41285 0.20133 7.6968 0.63349 11.2949 0.46215 0.73828 0.52036 0.18856 69 69 0.010413 12.0083 0.42818 0.21467 7.6491 0.63576 11.1109 0.47091 0.73295 0.50994 0.17313 70 70 90,134.0 0.011670 11.6803 0.44379 0.22864 7.5961 0.63828 10.9118 0.48039 0.72701 0.49848 0.15730 71 71 11.3468 0.45968 0.24324 7.5373 0.64108 10.6974 0.49060 0.72039 0.48590 0.14122 72 89,082.1 87,916.8 86,627.6 72 0.013081 0.014664 11.0081 0.47580 0.25847 7.4721 0.64419 10.4675 0.50155 0.71303 0.47215 0.12511 73 73 0.016440 10.6649 0.49215 0.27433 7.3999 0.64762 10.2221 0.51323 0.70483 0.45715 0.10918 74 74 85,203.5 0.018433 10.3178 0.50868 0.29079 7.3203 0.65142 9.9616 0.52564 0.69574 0.44085 0.09368 75 75 0.020668 9.9674 0.52536 0.30783 7.2325 0.65560 9.6866 0.53873 0.68566 0.42323 0.07887 76 76 83,632.9 9.6145 0.54217 0.32544 7.1360 0.66019 9.3980. 0.55247 0.67450 0.40427 0.06500 77 81,904.3 80,006.2 77,927.4 77 0.023175 0.025984 9.2598 0.55906 0.34359 7.0302 0.66523 9.0970 0.56681 0.66217 0.38396 0.05230 78 78 0.029132 8.9042 0.57599 0.36224 6.9146 0.67074 8.7850 0.58166 0.64859 "0.36235 0.04096 79 79 0.032658 8.5484 0.59293 0.38134 6.7885 0.67674 8.4639 0.59696 0.63365 0.33952 0.03113 80 80 75,657.2 8.1934 0.60984 0.40086 6.6517 0.68325 8.1354 0.61260 0.61727 0.31556 0.02286 81 73,186.3 70,507.2 67,614.6 81 0.036607 0.041025 7.8401 0.62666 0.42075 6.5037 0.69030 7.8018 0.62848 0.59936 0.29064 0.01616 82 82 0.045968 7.4893 0.64336 0.44094 6.3443 0.69789 7.4651 0.64452 0.57985 0.26498 0.01094 83 83 0.051493 7.1421 0.65990 0.46137 6.1735 0.70602 7.1275 0.66059 0.55868 0.23882 0.00706 84 84 64,506.5 6.7993 0.67622 0.48199 5.9915 0.71469 6.7910 0.67662 0.53581 0.21250 0.00431 85 85 61,184.9 0.057665 0.064554 6.4619 0.69229 0.50272 5.7986 0.72388 6.4574 0.69250 0.51122 0.18635 0.00248 86 86 57,656.7 0.072237 6.1308 0.70806 0.52349 5.5954 0.73355 6.1285 0.70817 0.48492 0.16079 0.00133 87 87 53,934.7 88 50,038.6 0.080798 5.8068 0.72349 0.54422 5.3828 0.74368 5.8057 0.72354 0.45697 0.13621 0.00066 88 5.4908 0.73853 0.56484 5.1620 0.75419 5.4903 0.73856 0.42748 0.11305 0.00030 89 45,995.6 41,841.1 89 0.090326 0.75317 0.58528 4.9346 0.76502 5.1833 0.75317 0.39659 0.09168 0.00012 90 90 0.100917 5.1835 0.112675 4.8858 0.76735 0.60545 4.7021 0.77609 4.8857 0.76735 0.36453 0.07244 0.00005 91 37,618.6 33,379.9 29,183.8 25,094.3 21,178.3 91 0.125708 4.5981 0.78104 0.62529 4.4665 0.78731 4.5981 0.78104 0.33158 0.05559 0.00002 92 92 0.140128 4.3213 0.79423 0.64472 4.2299 0.79858 4.3213 0.79423 0.29808 0.04128 0.00000 93 93 4.0556 0.80688 0.66368 3.9945 0.80979 4.0556 0.80688 0.26445 0.02955 0.00000 94 94 0.156052 3.8017 0.81897 0.68209 3.7624 0.82084 3.8017 0.81897 0.23116 0.02029 0.00000 95 95 0.173599 0.192887 3.5597 0.83049 0.69991 3.5356 0.83164 3.5597 0.83049 0.19872 1330 0.00000 96 17,501.8 14,125.9 11,102.5 96 0.214030 3.3300 0.84143 0.71708 3.3159 0.84210 3.3300 0.84143 0.16765 0.00827 0.00000 97 97 0.237134 3.1127 0.85177 0.73356 3.1050 0.85214 3.1127 0.85177 0.13850 0.00485 0.00000 98 98 0.262294 2.9079 0.86153 0.74930 2.9039 0.86172 2.9079 0.86153 0.11173 0.00266 0.00000 99 99 8,469.7 6,248.2 0.289584 2.7156 0.87068 0.76427 2.7137 0.87078 2.7156 0.87068 0.08777 0.00136 0.00000 100 100 心+
Standard Ultimate Life Table: Basic Functions and Single Net Premiums at i = 0.05 ä, A, 24, ä x:10 A *:10 ä x:20 A x:20 10E 20 E x. 20 100,000.0 99,975.0 0.000250 19.9664 0.04922 0.00580 8.0991 0.61433 13.0559 0.37829 0.78252 0.61224 0.37440 20 21 0.000253 19.9197 0.05144 0.00614 8.0990 0.61433 13.0551 0.37833 0.78250 0.61220 0.37429 21 22 99,949.7 99,924.0 0.000257 19.8707 0.05378 0.00652 8.0988 0.61434 13.0541 0.37837 0.78248 0.61215 0.37417 22 23 0.000262 19.8193 0.05622 0.00694 8.0986 0.61435 13.0531 0.37842 0.78245 0.61210 0.37404 23 24 19.7655 99,897.8 99,871.1 0.000267 0.05879 0.00739 8.0983 0.61437 13.0519 0.37848 0.78243 0.61205 0.37390 24 25 0.000273 19.7090 0.06147 0.00788 8.0981 0.61438 13.0506 0.37854 0.78240 0.61198 0.37373 25 26 99,843.8 0.000280 19.6499 0.06429 0.00841 8.0978 0.61439 13.0491 0.37862 0.78236 0.61191 0.37354 26 27 99,815.9 0.000287 19.5878 0.06725 0.00900 8.0974 0.61441 13.0474 0.37869 0.78233 0.61183 0.37334 27 28 99,787.2 0.000296 19.5228 0.07034 0.00964 8.0970 0.61443 13.0455 0.37878 0.78229 0.61174 0.37310 28 29 99,757.7 0.000305 19.4547 0.07359 0.01033 8.0966 0.61445 13.0434 0.37888 0.78224 0.61163 0.37284 29 30 99,727.3 0.000315 19.3834 0.07698 0.01109 8.0961 0.61447 13.0410 0.37900 0.78219 0.61152 0.37254 30 31 99,695.8 0.000327 19.3086 0.08054 0.01192 8.0956 0.61450 13.0384 0.37913 0.78213 0.61139 0.37221 31 32 99,663.2 0.000341 19.2303 0.08427 0.01281 8.0949 0.61453 13.0354 0.37927 0.78206 0.61124 0.37183 32 33 99,629.3 0.000356 19.1484 0.08817 0.01379 8.0943 0.61456 13.0320 0.37943 0.78199 0.61108 0.37141 33 34 99,593.8 0.000372 19.0626 0.09226 0.01486 8.0935 0.61460 13.0282 0.37961 0.78190 0.61090 0.37094 34 35 99,556.7 0.000391 18.9728 0.09653 0.01601 8.0926 0.61464 13.0240 0.37981 0.78181 0.61069 0.37041 35 99,517.8 99,476.7 99,433.3 36 0.000412 18.8788 0.10101 0.01727 8.0916 0.61468 13.0192 .0.38004 0.78170 0.61046 0.36982 36 37 0.000436 18.7805 0.10569 0.01863 8.0905 0.61474 13.0138 0.38029 0.78158 0.61020 0.36915 37 38 0.000463 18.6777 0.11059 0.02012 8.0893 0.61480 13.0078 0.38058 0.78145 0.60990 0.36841 38 99,387.3 99,338.3 39 0.000493 18.5701 0.11571 0.02173 8.0879 0.61486 13.0011 0.38090 0.78130 0.60957 0.36757 39 40 0.000527 18.4578 0.12106 0.02347 8.0863 0.61494 12.9935 0.38126 0.78113 0.60920 0.36663 40 41 99,285.9 0.000565 18.3403 0.12665 0.02536 8.0846 0.61502 12.9850 0.38167 0.78094 0.60879 0.36558 41 42 99,229.8 0.000608 18.2176 0.13249 0.02741 8.0826 0.61511 12.9754 0.38212 0.78072 0.60832 0.36440 42 43 0.000656 99,169.4 99,104.3 18.0895 0.13859 0.02963 8.0804 0.61522 12.9647 0.38263 0.78048 0,60780 0.36307 43 44 0.000710 17.9558 0.14496 0.03203 8.0779 0.61534 12.9526 0.38321 0.78021 0.60721 0.36159 44 45 99,033.9 0.000771 17.8162 0.15161 0.03463 8.0751 0.61547 12.9391 0.38385 0.77991 0.60655 0.35994 45 46 17.6706 98,957.6 98,874.5 98,783.9 98,684.9 98,576.4 0.000839 0.15854 0.03744 8.0720 0.61562 12.9240 0.38457 0.77956 0.60581 0.35809 46 47 0.000916 17.5189 0.16577 0.04047 8.0684 0.61579 12.9070 0.38538 0.77918 0.60498 0.35601 47 48 0.001003 17.3607 0.17330 0.04374 8.0645 0.61598 12.8880 0.38629 0.77875 0.60404 0.35370 48 49 0.001100 17.1960 0.18114 0.04727 8.0600 0.61619 12.8667 0.35112 0.34824 0.38730 0.77827 0.60299 49 50 0.001209 17.0245 0.18931 0.05108 8.0550 0.61643 12.8428 0.38844 0.77772 0.60182 50 98,457.2 98,326.2 51 0.001331 16.8461 0.19780 0.05517 8.0494 0.61670 12.8161 0.38971 0.77711 0.60050 0.34503 51 52 0.001469 16.6606 0.20664 0.05957 8.0431 0.61700 12.7862 0.39113 0.77643 0.59902 0.34146 52 53 98,181.8 0.001623 16.4678 0.21582 0.06430 8.0360 0.61733 12.7527 0.39273 0.77566 0.59736 0.33749 53 54 98,022.4 97,846.2 0.001797 16.2676 0.22535 0.06938 8.0281 0.61771 12.7154 0.39451 0.77479 0.59550 0.33308 54 55 0.001993 16.0599 0.23524 0.07483 8.0192 0.61813 12.6737 0.39649 0.77382 0.59342 0.32819 55 0.08067 97,651.2 97,435.2 97,195.6 96,929.6 96,634.1 56 0.002212- 15.8444 0.24550 8.0092 0.61861 12.6271 0.39871 0.77273 0.59109 0.32279 56 57 0.002459 15.6212 0.25613 0.08692 7.9980 0.61914 12.5752 0.40118 0.77151 0.58848 0.31681 57 58 0.002736 15.3901 0.26714 0.09360 7.9854 0.61974 12.5174 0.40393 0.77014 0.58556 0.31024 58 59 0.003048 15.1511 0.27852 0.10073 7.9713 .0.62041 12.4531 0.40700 0.76860 0.58229 0.30300 59 60 0.003398 14.9041 0.29028 0.10834 7.9555 0.62116 12.3816 0.41040 0.76687 0.57864 0.29508 60
Transcribed Image Text:Standard Ultimate Life Table: Basic Functions and Single Net Premiums at i = 0.05 ä, A, 24, ä x:10 A *:10 ä x:20 A x:20 10E 20 E x. 20 100,000.0 99,975.0 0.000250 19.9664 0.04922 0.00580 8.0991 0.61433 13.0559 0.37829 0.78252 0.61224 0.37440 20 21 0.000253 19.9197 0.05144 0.00614 8.0990 0.61433 13.0551 0.37833 0.78250 0.61220 0.37429 21 22 99,949.7 99,924.0 0.000257 19.8707 0.05378 0.00652 8.0988 0.61434 13.0541 0.37837 0.78248 0.61215 0.37417 22 23 0.000262 19.8193 0.05622 0.00694 8.0986 0.61435 13.0531 0.37842 0.78245 0.61210 0.37404 23 24 19.7655 99,897.8 99,871.1 0.000267 0.05879 0.00739 8.0983 0.61437 13.0519 0.37848 0.78243 0.61205 0.37390 24 25 0.000273 19.7090 0.06147 0.00788 8.0981 0.61438 13.0506 0.37854 0.78240 0.61198 0.37373 25 26 99,843.8 0.000280 19.6499 0.06429 0.00841 8.0978 0.61439 13.0491 0.37862 0.78236 0.61191 0.37354 26 27 99,815.9 0.000287 19.5878 0.06725 0.00900 8.0974 0.61441 13.0474 0.37869 0.78233 0.61183 0.37334 27 28 99,787.2 0.000296 19.5228 0.07034 0.00964 8.0970 0.61443 13.0455 0.37878 0.78229 0.61174 0.37310 28 29 99,757.7 0.000305 19.4547 0.07359 0.01033 8.0966 0.61445 13.0434 0.37888 0.78224 0.61163 0.37284 29 30 99,727.3 0.000315 19.3834 0.07698 0.01109 8.0961 0.61447 13.0410 0.37900 0.78219 0.61152 0.37254 30 31 99,695.8 0.000327 19.3086 0.08054 0.01192 8.0956 0.61450 13.0384 0.37913 0.78213 0.61139 0.37221 31 32 99,663.2 0.000341 19.2303 0.08427 0.01281 8.0949 0.61453 13.0354 0.37927 0.78206 0.61124 0.37183 32 33 99,629.3 0.000356 19.1484 0.08817 0.01379 8.0943 0.61456 13.0320 0.37943 0.78199 0.61108 0.37141 33 34 99,593.8 0.000372 19.0626 0.09226 0.01486 8.0935 0.61460 13.0282 0.37961 0.78190 0.61090 0.37094 34 35 99,556.7 0.000391 18.9728 0.09653 0.01601 8.0926 0.61464 13.0240 0.37981 0.78181 0.61069 0.37041 35 99,517.8 99,476.7 99,433.3 36 0.000412 18.8788 0.10101 0.01727 8.0916 0.61468 13.0192 .0.38004 0.78170 0.61046 0.36982 36 37 0.000436 18.7805 0.10569 0.01863 8.0905 0.61474 13.0138 0.38029 0.78158 0.61020 0.36915 37 38 0.000463 18.6777 0.11059 0.02012 8.0893 0.61480 13.0078 0.38058 0.78145 0.60990 0.36841 38 99,387.3 99,338.3 39 0.000493 18.5701 0.11571 0.02173 8.0879 0.61486 13.0011 0.38090 0.78130 0.60957 0.36757 39 40 0.000527 18.4578 0.12106 0.02347 8.0863 0.61494 12.9935 0.38126 0.78113 0.60920 0.36663 40 41 99,285.9 0.000565 18.3403 0.12665 0.02536 8.0846 0.61502 12.9850 0.38167 0.78094 0.60879 0.36558 41 42 99,229.8 0.000608 18.2176 0.13249 0.02741 8.0826 0.61511 12.9754 0.38212 0.78072 0.60832 0.36440 42 43 0.000656 99,169.4 99,104.3 18.0895 0.13859 0.02963 8.0804 0.61522 12.9647 0.38263 0.78048 0,60780 0.36307 43 44 0.000710 17.9558 0.14496 0.03203 8.0779 0.61534 12.9526 0.38321 0.78021 0.60721 0.36159 44 45 99,033.9 0.000771 17.8162 0.15161 0.03463 8.0751 0.61547 12.9391 0.38385 0.77991 0.60655 0.35994 45 46 17.6706 98,957.6 98,874.5 98,783.9 98,684.9 98,576.4 0.000839 0.15854 0.03744 8.0720 0.61562 12.9240 0.38457 0.77956 0.60581 0.35809 46 47 0.000916 17.5189 0.16577 0.04047 8.0684 0.61579 12.9070 0.38538 0.77918 0.60498 0.35601 47 48 0.001003 17.3607 0.17330 0.04374 8.0645 0.61598 12.8880 0.38629 0.77875 0.60404 0.35370 48 49 0.001100 17.1960 0.18114 0.04727 8.0600 0.61619 12.8667 0.35112 0.34824 0.38730 0.77827 0.60299 49 50 0.001209 17.0245 0.18931 0.05108 8.0550 0.61643 12.8428 0.38844 0.77772 0.60182 50 98,457.2 98,326.2 51 0.001331 16.8461 0.19780 0.05517 8.0494 0.61670 12.8161 0.38971 0.77711 0.60050 0.34503 51 52 0.001469 16.6606 0.20664 0.05957 8.0431 0.61700 12.7862 0.39113 0.77643 0.59902 0.34146 52 53 98,181.8 0.001623 16.4678 0.21582 0.06430 8.0360 0.61733 12.7527 0.39273 0.77566 0.59736 0.33749 53 54 98,022.4 97,846.2 0.001797 16.2676 0.22535 0.06938 8.0281 0.61771 12.7154 0.39451 0.77479 0.59550 0.33308 54 55 0.001993 16.0599 0.23524 0.07483 8.0192 0.61813 12.6737 0.39649 0.77382 0.59342 0.32819 55 0.08067 97,651.2 97,435.2 97,195.6 96,929.6 96,634.1 56 0.002212- 15.8444 0.24550 8.0092 0.61861 12.6271 0.39871 0.77273 0.59109 0.32279 56 57 0.002459 15.6212 0.25613 0.08692 7.9980 0.61914 12.5752 0.40118 0.77151 0.58848 0.31681 57 58 0.002736 15.3901 0.26714 0.09360 7.9854 0.61974 12.5174 0.40393 0.77014 0.58556 0.31024 58 59 0.003048 15.1511 0.27852 0.10073 7.9713 .0.62041 12.4531 0.40700 0.76860 0.58229 0.30300 59 60 0.003398 14.9041 0.29028 0.10834 7.9555 0.62116 12.3816 0.41040 0.76687 0.57864 0.29508 60
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