Question

1 Approved Answer

Posted on Jul 15, 2024

Answer is D Standard Ultimate Life Table: Basic Functions and Single Net Premiums at i = 0.05 x 1 9. 4 A SE LE 2

image text in transcribed

image text in transcribed Answer is D

Standard Ultimate Life Table: Basic Functions and Single Net Premiums at i = 0.05 x 1 9. 4 A SE LE 2 X 20 21 22 23 24 25 19.9664 19.9197 19.8707 19.8193 19.7655 19.7090 0.61433 0.61433 0.61434 0.61435 0.61437 0.61438 0.61439 0.61441 0.61443 0.61445 0.61447 0.78252 0.78250 0.78248 0.78245 0.78243 0.78240 20 21 22 23 24 25 26 27 28 29 30 0.78236 0.78233 0.78229 0.78224 0.78219 26 27 28 29 30 31 32 33 34 35 0.78213 0.78206 0.78199 0.78190 0.78181 31 32 33 34 35 100,000.0 99,975.0 99,949.7 99,924.0 99,897.8 99,871.1 99,843.8 99,815.9 99,787.2 99,757.7 99,727.3 99,695.8 99,663.2 99,629.3 99,593.8 99,556.7 99,517.8 99,476.7 99,433.3 99,387.3 99,338.3 99,285.9 99,229.8 99,169.4 99,104.3 99,033.9 98,957.6 98,874.5 98,783.9 98,684.9 98,576.4 98,457.2 98,326.2 98,181.8 98,022.4 97,846.2 97,6512 97,435.2 97,195.6 96,929.6 96,634.1 36 37 38 39 40 0.000250 0.000253 0.000257 0.000262 0.000267 0.000273 0.000280 0.000287 0.000296 0.000305 0.000315 0.000327 0.000341 0.000356 0.000372 0.000391 0.000412 0.000436 0.000463 0.000493 0.000527 0.000565 0.000608 0.000656 0.000710 0.000771 0.000839 0.000916 0.001003 0.001100 0.001209 0.001331 0.001469 0.001623 0.001797 0.001993 0.002212 0.002459 0.002736 0.003048 0.003398 19.6499 19.5878 19.5228 19.4547 19.3834 19.3086 19.2303 19.1484 19.0626 18.9728 18.8788 18.7805 18.6777 18.5701 18.4578 18.3403 18.2176 18.0895 17.9558 17.8162 17.6706 17.5189 17.3607 17.1960 17.0245 0.04922 0.05144 0.05378 0.05622 0.05879 0.06147 0.06429 0.06725 0.07034 0.07359 0.07698 0.08054 0.08427 0.08817 0.09226 0.09653 0.10101 0.10569 0.11059 0.11571 0.12106 0.12665 0.13249 0.13859 0.14496 0.15161 0.15854 0.16577 0.17330 0.18114 0.18931 0.19780 0.20664 0.21582 0.22535 0.23524 0.24550 0.25613 0.26714 0.27852 0.29028 0.00580 0.00614 0.00652 0.00694 0.00739 0.00788 0.00841 0.00900 0.00964 0.01033 0.01109 0.01192 0.01281 0.01379 0.01486 0.01601 0.01727 0.01863 0.02012 0.02173 0.02347 0.02536 0.02741 0.02963 0.03203 0.03463 0.03744 0.04047 0.04374 0.04727 0.05108 0.05517 0.05957 0.06430 0.06938 0.07483 0.08067 0.08692 0.09360 0.10073 0.10834 0.37440 0.37429 0.37417 0.37404 0.37390 0.37373 0.37354 0.37334 0.37310 0.37284 0.37254 0.37221 0.37183 0.37141 0.37094 0.37041 0.36982 0.36915 0.36841 0.36757 0.36663 8.0991 8.0990 8.0988 8.0986 8.0983 8.0981 8.0978 8.0974 8.0970 8.0966 8.0961 8.0956 8.0949 8.0943 8.0935 8.0926 8.0916 8.0905 8.0893 8.0879 8.0863 8.0846 8.0826 8.0804 8.0779 8.0751 8.0720 8.0684 8.0645 8.0600 8.0550 8.0494 8.0431 8.0360 8.0281 8.0192 13.0559 13.0551 13.0541 13.0531 13.0519 13.0506 13.0491 13.0474 13.0455 13.0434 13.0410 13.0384 13.0354 13.0320 13.0282 13.0240 13.0192 13.0138 13.0078 13.0011 12.9935 12.9850 12.9754 12.9647 12.9526 12.9391 12.9240 12.9070 12.8880 12.8667 12.8428 12.8161 12.7862 12.7527 12.7154 12.6737 12.6271 12.5752 12.5174 12.4531 12.3816 0.37829 0.37833 0.37837 0.37842 0.37848 0.37854 0.37862 0.37869 0.37878 0.37888 0.37900 0.37913 0.37927 0.37943 0.37961 0.37981 0.38004 0.38029 0.38058 0.38090 0.38126 0.38167 0.38212 0.38263 0.38321 0.38385 0.38457 0.38538 0.38629 0.38730 0.38844 0.38971 0.39113 0.39273 0.39451 0.39649 0.39871 0.40118 0.40393 0.40700 0.41040 0.61450 0.61453 0.61456 0.61460 0.61464 0.61468 0.61474 0.61480 0.61486 0.61494 0.61502 0.61511 0.61522 0.61534 0.61547 0.61562 0.61579 0.61598 0.61619 0.61643 0.61670 0.61700 0.61733 0.61771 0.61813 0.61224 0.61220 0.61215 0.61210 0.61205 0.61198 0.61191 0.61183 0.61174 0.61163 0.61152 0.61139 0.61124 0.61108 0.61090 0.61069 0.61046 0.61020 0.60990 0.60957 0.60920 0.60879 0.60832 0.60780 0.60721 0.60655 0.60581 0.60498 0.60404 0.60299 0.60182 0.60050 0.59902 0.59736 0.59550 0.59342 0.59109 0.58848 0.58556 0.58229 0.57864 36 37 38 39 40 41 42 43 44 45 41 42 43 44 45 0.78170 0.78158 0.78145 0.78130 0.78113 0.78094 0.78072 0.78048 0.78021 0.77991 0.77956 0.77918 0.77875 0.77827 0.77772 0.77711 0.77643 0.77566 0.77479 0.77382 0.77273 0.77151 0.77014 0.76860 0.76687 46 47 48 49 50 0.36558 0.36440 0.36307 0.36159 0.35994 0.35809 0.35601 0.35370 0.35112 0.34824 0.34503 0.34146 0.33749 0.33308 0.32819 46 47 48 49 50 51 52 53 54 55 51 52 53 54 55 16.8461 16.6606 16.4678 16.2676 16.0599 15.8444 15.6212 15.3901 15.1511 14.9041 56 57 58 59 60 8.0092 7.9980 7.9854 7.9713 7.9555 0.61861 0.61914 0.61974 0.62041 0.62116 0.32279 0.31681 0.31024 0.30300 0.29508 56 57 58 59 60 Standard Ultimate Life Table: Basic Functions and Single Net Premiums at i = 0.05 .X 1 92 4 i SE. IME. 20E. . 61 62 63 64 65 14.6491 14.3861 14.1151 13.8363 13.5498 0.30243 0.31495 0.32785 0.34113 0.35477 0.11644 0.12506 0.13421 0.14392 0.15420 7.9379 7.9181 7.8960 7.8712 7.8435 0.62201 0.62295 0.62400 0.62518 0.62650 61 62 63 64 65 0.003792 0.004234 0.004730 0.005288 0.005915 0.006619 0.007409 0.008297 0.009294 0.010413 12.3024 12.2145 12.1174 12.0101 11.8920 11.7622 11.6199 11.4643 11.2949 11.1109 0.41417 0.41836 0.42298 0.42809 0.43371 0.43990 0.44667 0.45408 0.46215 0.47091 0.76493 0.76276 0.76033 0.75760 0.75455 0.75114 0.74732 0.74305 0.73828 0.73295 0.28641 0.27698 0.26674 0.25569 0.24381 0.23112 0.21764 0.20343 0.18856 0.17313 66 67 68 69 70 13.2557 12.9542 12.6456 12.3302 12.0083 0.36878 0.38313 0.39783 0.41285 0.42818 0.16507 0.17654 0.18862 0.20133 0.21467 7.8126 7.7781 7.7396 7.6968 7.6491 0.62797 0.62961 0.63145 0.63349 0.63576 66 67 68 69 70 0.57457 0.57003 0.56496 0.55932 0.55305 0.54609 0.53836 0.52981 0.52036 0.50994 0.49848 0.48590 0.47215 0.45715 0.44085 0.42323 0.40427 0.38396 0.36235 0.33952 71 72 73 74 75 11.6803 11.3468 11.0081 10.6649 10.3178 7.5961 7.5373 7.4721 7.3999 7.3203 71 72 73 74 75 0.63828 0.64108 0.64419 0.64762 0.65142 0.65560 0.66019 0.66523 0.67074 0.67674 0.72701 0.72039 0.71303 0.70483 0.69574 0.68566 0.67450 0.66217 0.64859 0.63365 76 77 78 79 80 9.9674 9.6145 9.2598 8.9042 8.5484 76 77 78 0.15730 0.14122 0.12511 0.10918 0.09368 0.07887 0.06500 0.05230 0.04096 0.03113 0.02286 0.01616 0.01094 0.00706 0.00431 80 am88 %2%%%%%%%%w 96,305.8 95,940.6 95,534.4 95,082.5 94,579.7 94,020.3 93,398.1 92,706.1 91,936.9 91,082.4 90,134.0 89,082.1 87,916.8 86,627.6 85,203.5 83,632.9 81,904.3 80,006.2 77,927.4 75,657.2 73,186.3 70,507.2 67,614.6 64,506.5 61,184.9 57,656.7 53,934.7 50,038.6 45,995.6 41,841.1 37,618.6 33,379.9 29,183.8 25,094.3 21,178.3 17,501.8 14,125.9 11,102.5 8,469.7 6,248.2 81 82 83 84 85 0.61727 0.59936 0.57985 0.55868 0.53581 0.011670 0.013081 0.014664 0.016440 0.018433 0.020668 0.023175 0.025984 0.029132 0.032658 0.036607 0.041025 0.045968 0.051493 0.057665 0.064554 0.072237 0.080798 0.090326 0.100917 0.112675 0.125708 0.140128 0.156052 0.173599 0.192887 0.214030 0.237134 0.262294 0.289584 81 82 83 84 85 0.44379 0.45968 0.47580 0.49215 0.50868 0.52536 0.54217 0.55906 0.57599 0.59293 0.60984 0.62666 0.64336 0.65990 0.67622 0.69229 0.70806 0.72349 0.73853 0.75317 0.76735 0.78104 0.79423 0.80688 0.81897 0.83049 0.84143 0.85177 0.86153 0.87068 0.22864 0.24324 0.25847 0.27433 0.29079 0.30783 0.32544 0.34359 0.36224 0.38134 0.40086 0.42075 0.44094 0.46137 0.48199 0.50272 0.52349 0.54422 0.56484 0.58528 0.60545 0.62529 0.64472 0.66368 0.68209 0.69991 0.71708 0.73356 0.74930 0.76427 amaMB &B%wumm %8% %%w 7.2325 7.1360 7.0302 6.9146 6.7885 6.6517 6.5037 6.3443 6.1735 5.9915 5.7986 5.5954 5.3828 5.1620 4.9346 4.7021 4.4665 4.2299 3.9945 3.7624 3.5356 3.3159 3.1050 2.9039 2.7137 8.1934 7.8401 7.4893 7.1421 6.7993 6.4619 6.1308 5.8068 5.4908 5.1835 4.8858 4.5981 4.3213 4.0556 3.8017 3.5597 3.3300 3.1127 2.9079 2.7156 10.9118 10.6974 10.4675 10.2221 9.9616 9.6866 9.3980 9.0970 8.7850 8.4639 8.1354 7.8018 7.4651 7.1275 6.7910 6.4574 6.1285 5.8057 5.4903 5.1833 4.8857 4.5981 4.3213 4.0556 3.8017 3.5597 3.3300 3.1127 2.9079 2.7156 86 87 0.48039 0.49060 0.50155 0.51323 0.52564 0.53873 0.55247 0.56681 0.58166 0.59696 0.61260 0.62848 0.64452 0.66059 0.67662 0.69250 0.70817 0.72354 0.73856 0.75317 0.76735 0.78104 0.79423 0.80688 0.81897 0.83049 0.84143 0.85177 0.86153 0.87068 86 87 88 89 90 0.68325 0.69030 0.69789 0.70602 0.71469 0.72388 0.73355 0.74368 0.75419 0.76502 0.77609 0.78731 0.79858 0.80979 0.82084 0.83164 0.84210 0.85214 0.86172 0.87078 89 90 91 92 93 94 95 0.51122 0.48492 0.45697 0.42748 0.39659 0.36453 0.33158 0.29808 0.26445 0.23116 0.19872 0.16765 0.13850 0.11173 0.08777 0.31556 0.29064 0.26498 0.23882 0.21250 0.18635 0.16079 0.13621 0.11305 0.09168 0.07244 0.05559 0.04128 0.02955 0.02029 0.01330 0.00827 0.00485 0.00266 0.00136 0.00248 0.00133 0.00066 0.00030 0.00012 0.00005 0.00002 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 91 92 93 94 95 96 97 98 99 100 96 97 98 99 100 For a fully discrete 20-year term insurance issued to (35) with face amount 1,000,000, you are given: (i) The annual net premium for this insurance is 721.74. (ii) Mortality follows the Standard Ultimate Life Table. (iii) i = 0.05 (iv) The force of mortality is constant between integer ages. Calculate the net premium reserve at time 10.4. A. 3290 B. 3390 C. 3490 D. 3590 E. 3690 Standard Ultimate Life Table: Basic Functions and Single Net Premiums at i = 0.05 x 1 9. 4 A SE LE 2 X 20 21 22 23 24 25 19.9664 19.9197 19.8707 19.8193 19.7655 19.7090 0.61433 0.61433 0.61434 0.61435 0.61437 0.61438 0.61439 0.61441 0.61443 0.61445 0.61447 0.78252 0.78250 0.78248 0.78245 0.78243 0.78240 20 21 22 23 24 25 26 27 28 29 30 0.78236 0.78233 0.78229 0.78224 0.78219 26 27 28 29 30 31 32 33 34 35 0.78213 0.78206 0.78199 0.78190 0.78181 31 32 33 34 35 100,000.0 99,975.0 99,949.7 99,924.0 99,897.8 99,871.1 99,843.8 99,815.9 99,787.2 99,757.7 99,727.3 99,695.8 99,663.2 99,629.3 99,593.8 99,556.7 99,517.8 99,476.7 99,433.3 99,387.3 99,338.3 99,285.9 99,229.8 99,169.4 99,104.3 99,033.9 98,957.6 98,874.5 98,783.9 98,684.9 98,576.4 98,457.2 98,326.2 98,181.8 98,022.4 97,846.2 97,6512 97,435.2 97,195.6 96,929.6 96,634.1 36 37 38 39 40 0.000250 0.000253 0.000257 0.000262 0.000267 0.000273 0.000280 0.000287 0.000296 0.000305 0.000315 0.000327 0.000341 0.000356 0.000372 0.000391 0.000412 0.000436 0.000463 0.000493 0.000527 0.000565 0.000608 0.000656 0.000710 0.000771 0.000839 0.000916 0.001003 0.001100 0.001209 0.001331 0.001469 0.001623 0.001797 0.001993 0.002212 0.002459 0.002736 0.003048 0.003398 19.6499 19.5878 19.5228 19.4547 19.3834 19.3086 19.2303 19.1484 19.0626 18.9728 18.8788 18.7805 18.6777 18.5701 18.4578 18.3403 18.2176 18.0895 17.9558 17.8162 17.6706 17.5189 17.3607 17.1960 17.0245 0.04922 0.05144 0.05378 0.05622 0.05879 0.06147 0.06429 0.06725 0.07034 0.07359 0.07698 0.08054 0.08427 0.08817 0.09226 0.09653 0.10101 0.10569 0.11059 0.11571 0.12106 0.12665 0.13249 0.13859 0.14496 0.15161 0.15854 0.16577 0.17330 0.18114 0.18931 0.19780 0.20664 0.21582 0.22535 0.23524 0.24550 0.25613 0.26714 0.27852 0.29028 0.00580 0.00614 0.00652 0.00694 0.00739 0.00788 0.00841 0.00900 0.00964 0.01033 0.01109 0.01192 0.01281 0.01379 0.01486 0.01601 0.01727 0.01863 0.02012 0.02173 0.02347 0.02536 0.02741 0.02963 0.03203 0.03463 0.03744 0.04047 0.04374 0.04727 0.05108 0.05517 0.05957 0.06430 0.06938 0.07483 0.08067 0.08692 0.09360 0.10073 0.10834 0.37440 0.37429 0.37417 0.37404 0.37390 0.37373 0.37354 0.37334 0.37310 0.37284 0.37254 0.37221 0.37183 0.37141 0.37094 0.37041 0.36982 0.36915 0.36841 0.36757 0.36663 8.0991 8.0990 8.0988 8.0986 8.0983 8.0981 8.0978 8.0974 8.0970 8.0966 8.0961 8.0956 8.0949 8.0943 8.0935 8.0926 8.0916 8.0905 8.0893 8.0879 8.0863 8.0846 8.0826 8.0804 8.0779 8.0751 8.0720 8.0684 8.0645 8.0600 8.0550 8.0494 8.0431 8.0360 8.0281 8.0192 13.0559 13.0551 13.0541 13.0531 13.0519 13.0506 13.0491 13.0474 13.0455 13.0434 13.0410 13.0384 13.0354 13.0320 13.0282 13.0240 13.0192 13.0138 13.0078 13.0011 12.9935 12.9850 12.9754 12.9647 12.9526 12.9391 12.9240 12.9070 12.8880 12.8667 12.8428 12.8161 12.7862 12.7527 12.7154 12.6737 12.6271 12.5752 12.5174 12.4531 12.3816 0.37829 0.37833 0.37837 0.37842 0.37848 0.37854 0.37862 0.37869 0.37878 0.37888 0.37900 0.37913 0.37927 0.37943 0.37961 0.37981 0.38004 0.38029 0.38058 0.38090 0.38126 0.38167 0.38212 0.38263 0.38321 0.38385 0.38457 0.38538 0.38629 0.38730 0.38844 0.38971 0.39113 0.39273 0.39451 0.39649 0.39871 0.40118 0.40393 0.40700 0.41040 0.61450 0.61453 0.61456 0.61460 0.61464 0.61468 0.61474 0.61480 0.61486 0.61494 0.61502 0.61511 0.61522 0.61534 0.61547 0.61562 0.61579 0.61598 0.61619 0.61643 0.61670 0.61700 0.61733 0.61771 0.61813 0.61224 0.61220 0.61215 0.61210 0.61205 0.61198 0.61191 0.61183 0.61174 0.61163 0.61152 0.61139 0.61124 0.61108 0.61090 0.61069 0.61046 0.61020 0.60990 0.60957 0.60920 0.60879 0.60832 0.60780 0.60721 0.60655 0.60581 0.60498 0.60404 0.60299 0.60182 0.60050 0.59902 0.59736 0.59550 0.59342 0.59109 0.58848 0.58556 0.58229 0.57864 36 37 38 39 40 41 42 43 44 45 41 42 43 44 45 0.78170 0.78158 0.78145 0.78130 0.78113 0.78094 0.78072 0.78048 0.78021 0.77991 0.77956 0.77918 0.77875 0.77827 0.77772 0.77711 0.77643 0.77566 0.77479 0.77382 0.77273 0.77151 0.77014 0.76860 0.76687 46 47 48 49 50 0.36558 0.36440 0.36307 0.36159 0.35994 0.35809 0.35601 0.35370 0.35112 0.34824 0.34503 0.34146 0.33749 0.33308 0.32819 46 47 48 49 50 51 52 53 54 55 51 52 53 54 55 16.8461 16.6606 16.4678 16.2676 16.0599 15.8444 15.6212 15.3901 15.1511 14.9041 56 57 58 59 60 8.0092 7.9980 7.9854 7.9713 7.9555 0.61861 0.61914 0.61974 0.62041 0.62116 0.32279 0.31681 0.31024 0.30300 0.29508 56 57 58 59 60 Standard Ultimate Life Table: Basic Functions and Single Net Premiums at i = 0.05 .X 1 92 4 i SE. IME. 20E. . 61 62 63 64 65 14.6491 14.3861 14.1151 13.8363 13.5498 0.30243 0.31495 0.32785 0.34113 0.35477 0.11644 0.12506 0.13421 0.14392 0.15420 7.9379 7.9181 7.8960 7.8712 7.8435 0.62201 0.62295 0.62400 0.62518 0.62650 61 62 63 64 65 0.003792 0.004234 0.004730 0.005288 0.005915 0.006619 0.007409 0.008297 0.009294 0.010413 12.3024 12.2145 12.1174 12.0101 11.8920 11.7622 11.6199 11.4643 11.2949 11.1109 0.41417 0.41836 0.42298 0.42809 0.43371 0.43990 0.44667 0.45408 0.46215 0.47091 0.76493 0.76276 0.76033 0.75760 0.75455 0.75114 0.74732 0.74305 0.73828 0.73295 0.28641 0.27698 0.26674 0.25569 0.24381 0.23112 0.21764 0.20343 0.18856 0.17313 66 67 68 69 70 13.2557 12.9542 12.6456 12.3302 12.0083 0.36878 0.38313 0.39783 0.41285 0.42818 0.16507 0.17654 0.18862 0.20133 0.21467 7.8126 7.7781 7.7396 7.6968 7.6491 0.62797 0.62961 0.63145 0.63349 0.63576 66 67 68 69 70 0.57457 0.57003 0.56496 0.55932 0.55305 0.54609 0.53836 0.52981 0.52036 0.50994 0.49848 0.48590 0.47215 0.45715 0.44085 0.42323 0.40427 0.38396 0.36235 0.33952 71 72 73 74 75 11.6803 11.3468 11.0081 10.6649 10.3178 7.5961 7.5373 7.4721 7.3999 7.3203 71 72 73 74 75 0.63828 0.64108 0.64419 0.64762 0.65142 0.65560 0.66019 0.66523 0.67074 0.67674 0.72701 0.72039 0.71303 0.70483 0.69574 0.68566 0.67450 0.66217 0.64859 0.63365 76 77 78 79 80 9.9674 9.6145 9.2598 8.9042 8.5484 76 77 78 0.15730 0.14122 0.12511 0.10918 0.09368 0.07887 0.06500 0.05230 0.04096 0.03113 0.02286 0.01616 0.01094 0.00706 0.00431 80 am88 %2%%%%%%%%w 96,305.8 95,940.6 95,534.4 95,082.5 94,579.7 94,020.3 93,398.1 92,706.1 91,936.9 91,082.4 90,134.0 89,082.1 87,916.8 86,627.6 85,203.5 83,632.9 81,904.3 80,006.2 77,927.4 75,657.2 73,186.3 70,507.2 67,614.6 64,506.5 61,184.9 57,656.7 53,934.7 50,038.6 45,995.6 41,841.1 37,618.6 33,379.9 29,183.8 25,094.3 21,178.3 17,501.8 14,125.9 11,102.5 8,469.7 6,248.2 81 82 83 84 85 0.61727 0.59936 0.57985 0.55868 0.53581 0.011670 0.013081 0.014664 0.016440 0.018433 0.020668 0.023175 0.025984 0.029132 0.032658 0.036607 0.041025 0.045968 0.051493 0.057665 0.064554 0.072237 0.080798 0.090326 0.100917 0.112675 0.125708 0.140128 0.156052 0.173599 0.192887 0.214030 0.237134 0.262294 0.289584 81 82 83 84 85 0.44379 0.45968 0.47580 0.49215 0.50868 0.52536 0.54217 0.55906 0.57599 0.59293 0.60984 0.62666 0.64336 0.65990 0.67622 0.69229 0.70806 0.72349 0.73853 0.75317 0.76735 0.78104 0.79423 0.80688 0.81897 0.83049 0.84143 0.85177 0.86153 0.87068 0.22864 0.24324 0.25847 0.27433 0.29079 0.30783 0.32544 0.34359 0.36224 0.38134 0.40086 0.42075 0.44094 0.46137 0.48199 0.50272 0.52349 0.54422 0.56484 0.58528 0.60545 0.62529 0.64472 0.66368 0.68209 0.69991 0.71708 0.73356 0.74930 0.76427 amaMB &B%wumm %8% %%w 7.2325 7.1360 7.0302 6.9146 6.7885 6.6517 6.5037 6.3443 6.1735 5.9915 5.7986 5.5954 5.3828 5.1620 4.9346 4.7021 4.4665 4.2299 3.9945 3.7624 3.5356 3.3159 3.1050 2.9039 2.7137 8.1934 7.8401 7.4893 7.1421 6.7993 6.4619 6.1308 5.8068 5.4908 5.1835 4.8858 4.5981 4.3213 4.0556 3.8017 3.5597 3.3300 3.1127 2.9079 2.7156 10.9118 10.6974 10.4675 10.2221 9.9616 9.6866 9.3980 9.0970 8.7850 8.4639 8.1354 7.8018 7.4651 7.1275 6.7910 6.4574 6.1285 5.8057 5.4903 5.1833 4.8857 4.5981 4.3213 4.0556 3.8017 3.5597 3.3300 3.1127 2.9079 2.7156 86 87 0.48039 0.49060 0.50155 0.51323 0.52564 0.53873 0.55247 0.56681 0.58166 0.59696 0.61260 0.62848 0.64452 0.66059 0.67662 0.69250 0.70817 0.72354 0.73856 0.75317 0.76735 0.78104 0.79423 0.80688 0.81897 0.83049 0.84143 0.85177 0.86153 0.87068 86 87 88 89 90 0.68325 0.69030 0.69789 0.70602 0.71469 0.72388 0.73355 0.74368 0.75419 0.76502 0.77609 0.78731 0.79858 0.80979 0.82084 0.83164 0.84210 0.85214 0.86172 0.87078 89 90 91 92 93 94 95 0.51122 0.48492 0.45697 0.42748 0.39659 0.36453 0.33158 0.29808 0.26445 0.23116 0.19872 0.16765 0.13850 0.11173 0.08777 0.31556 0.29064 0.26498 0.23882 0.21250 0.18635 0.16079 0.13621 0.11305 0.09168 0.07244 0.05559 0.04128 0.02955 0.02029 0.01330 0.00827 0.00485 0.00266 0.00136 0.00248 0.00133 0.00066 0.00030 0.00012 0.00005 0.00002 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 91 92 93 94 95 96 97 98 99 100 96 97 98 99 100 For a fully discrete 20-year term insurance issued to (35) with face amount 1,000,000, you are given: (i) The annual net premium for this insurance is 721.74. (ii) Mortality follows the Standard Ultimate Life Table. (iii) i = 0.05 (iv) The force of mortality is constant between integer ages. Calculate the net premium reserve at time 10.4. A. 3290 B. 3390 C. 3490 D. 3590 E. 3690