| interest rate: | 6.00% | discount rate: | 0.9433962 | ||||||
| Age | l_x | d_x | D_x | C_x | N_x | M_x | A_x | a_x+1 | E_x |
| 0 | 100,000 | 1,260 | 100,000 | 1,189 | 100,000 | 1,189 | 0.0119 | 1.0000 | 0.9315 |
| 1 | 98,740 | 92 | 93,151 | 82 | 193,151 | 1,271 | 0.0136 | 2.0735 | 0.9425 |
| 2 | 98,648 | 64 | 87,796 | 54 | 280,947 | 1,324 | 0.0151 | 3.2000 | 0.9428 |
| 3 | 98,584 | 49 | 82,773 | 39 | 363,720 | 1,363 | 0.0165 | 4.3942 | 0.9429 |
| 4 | 98,535 | 40 | 78,049 | 30 | 441,769 | 1,393 | 0.0178 | 5.6602 | 0.9430 |
| 5 | 98,495 | 36 | 73,601 | 25 | 515,370 | 1,418 | 0.0193 | 7.0022 | 0.9431 |
| 6 | 98,459 | 33 | 69,410 | 22 | 584,780 | 1,440 | 0.0208 | 8.4250 | 0.9431 |
| 7 | 98,426 | 30 | 65,459 | 19 | 650,239 | 1,459 | 0.0223 | 9.9335 | 0.9431 |
| 8 | 98,396 | 26 | 61,735 | 15 | 711,974 | 1,475 | 0.0239 | 11.5328 | 0.9431 |
| 9 | 98,370 | 23 | 58,225 | 13 | 770,199 | 1,487 | 0.0255 | 13.2280 | 0.9432 |
| 10 | 98,347 | 19 | 54,916 | 10 | 825,115 | 1,497 | 0.0273 | 15.0249 | 0.9432 |
| 11 | 98,328 | 19 | 51,798 | 9 | 876,913 | 1,507 | 0.0291 | 16.9295 | 0.9432 |
| 12 | 98,309 | 24 | 48,857 | 11 | 925,770 | 1,518 | 0.0311 | 18.9487 | 0.9432 |
| 13 | 98,285 | 37 | 46,080 | 16 | 971,850 | 1,534 | 0.0333 | 21.0906 | 0.9430 |
| 14 | 98,248 | 52 | 43,455 | 22 | 1,015,305 | 1,556 | 0.0358 | 23.3644 | 0.9429 |
| 15 | 98,196 | 67 | 40,974 | 26 | 1,056,279 | 1,583 | 0.0386 | 25.7794 | 0.9428 |
| 16 | 98,129 | 82 | 38,628 | 30 | 1,094,907 | 1,613 | 0.0418 | 28.3448 | 0.9426 |
| 17 | 98,047 | 94 | 36,411 | 33 | 1,131,318 | 1,646 | 0.0452 | 31.0706 | 0.9425 |
| 18 | 97,953 | 102 | 34,317 | 34 | 1,165,635 | 1,680 | 0.0489 | 33.9665 | 0.9424 |
| 19 | 97,851 | 110 | 32,341 | 34 | 1,197,976 | 1,714 | 0.0530 | 37.0420 | 0.9423 |
| 20 | 97,741 | 118 | 30,476 | 35 | 1,228,452 | 1,749 | 0.0574 | 40.3087 | 0.9423 |
| 21 | 97,623 | 124 | 28,716 | 34 | 1,257,169 | 1,783 | 0.0621 | 43.7789 | 0.9422 |
| 22 | 97,499 | 129 | 27,056 | 34 | 1,284,225 | 1,817 | 0.0671 | 47.4646 | 0.9421 |
| 23 | 97,370 | 130 | 25,491 | 32 | 1,309,716 | 1,849 | 0.0725 | 51.3792 | 0.9421 |
| 24 | 97,240 | 130 | 24,016 | 30 | 1,333,733 | 1,879 | 0.0782 | 55.5347 | 0.9421 |
| 25 | 97,110 | 128 | 22,626 | 28 | 1,356,359 | 1,907 | 0.0843 | 59.9456 | 0.9422 |
| 26 | 96,982 | 126 | 21,318 | 26 | 1,377,677 | 1,933 | 0.0907 | 64.6262 | 0.9422 |
| 27 | 96,856 | 126 | 20,085 | 25 | 1,397,762 | 1,958 | 0.0975 | 69.5929 | 0.9422 |
| 28 | 96,730 | 126 | 18,923 | 23 | 1,416,685 | 1,981 | 0.1047 | 74.8646 | 0.9422 |
| 29 | 96,604 | 127 | 17,829 | 22 | 1,434,514 | 2,003 | 0.1124 | 80.4599 | 0.9422 |
| 30 | 96,477 | 127 | 16,798 | 21 | 1,451,311 | 2,024 | 0.1205 | 86.3998 | 0.9422 |
| 31 | 96,350 | 130 | 15,826 | 20 | 1,467,137 | 2,044 | 0.1292 | 92.7045 | 0.9421 |
| 32 | 96,220 | 132 | 14,910 | 19 | 1,482,047 | 2,064 | 0.1384 | 99.3996 | 0.9421 |
| 33 | 96,088 | 137 | 14,047 | 19 | 1,496,094 | 2,083 | 0.1483 | 106.5083 | 0.9421 |
| 34 | 95,951 | 143 | 13,233 | 19 | 1,509,327 | 2,101 | 0.1588 | 114.0600 | 0.9420 |
| 35 | 95,808 | 153 | 12,465 | 19 | 1,521,792 | 2,120 | 0.1701 | 122.0840 | 0.9419 |
| 36 | 95,655 | 163 | 11,741 | 19 | 1,533,533 | 2,139 | 0.1822 | 130.6160 | 0.9418 |
| 37 | 95,492 | 175 | 11,057 | 19 | 1,544,590 | 2,158 | 0.1952 | 139.6893 | 0.9417 |
| 38 | 95,317 | 188 | 10,412 | 19 | 1,555,002 | 2,177 | 0.2091 | 149.3426 | 0.9415 |
| 39 | 95,129 | 203 | 9,804 | 20 | 1,564,806 | 2,197 | 0.2241 | 159.6160 | 0.9414 |
| 40 | 94,926 | 220 | 9,229 | 20 | 1,574,035 | 2,217 | 0.2403 | 170.5547 | 0.9412 |
| 41 | 94,706 | 241 | 8,686 | 21 | 1,582,721 | 2,238 | 0.2577 | 182.2080 | 0.9410 |
| 42 | 94,465 | 264 | 8,174 | 22 | 1,590,895 | 2,260 | 0.2765 | 194.6332 | 0.9408 |
| 43 | 94,201 | 288 | 7,690 | 22 | 1,598,585 | 2,282 | 0.2968 | 207.8894 | 0.9405 |
| 44 | 93,913 | 314 | 7,232 | 23 | 1,605,817 | 2,305 | 0.3187 | 222.0385 | 0.9402 |
| 45 | 93,599 | 343 | 6,800 | 24 | 1,612,617 | 2,328 | 0.3424 | 237.1504 | 0.9399 |
| 46 | 93,256 | 374 | 6,392 | 24 | 1,619,008 | 2,352 | 0.3681 | 253.3040 | 0.9396 |
| 47 | 92,882 | 410 | 6,006 | 25 | 1,625,014 | 2,377 | 0.3959 | 270.5834 | 0.9392 |
| 48 | 92,472 | 451 | 5,641 | 26 | 1,630,655 | 2,403 | 0.4261 | 289.0901 | 0.9388 |
| 49 | 92,021 | 495 | 5,295 | 27 | 1,635,950 | 2,430 | 0.4589 | 308.9374 | 0.9383 |
| 50 | 91,526 | 540 | 4,969 | 28 | 1,640,919 | 2,458 | 0.4947 | 330.2447 | 0.9378 |
| 51 | 90,986 | 584 | 4,660 | 28 | 1,645,579 | 2,486 | 0.5335 | 353.1370 | 0.9373 |
| 52 | 90,402 | 631 | 4,368 | 29 | 1,649,947 | 2,515 | 0.5758 | 377.7434 | 0.9368 |
| 53 | 89,771 | 684 | 4,092 | 29 | 1,654,038 | 2,544 | 0.6218 | 404.2224 | 0.9362 |
| 54 | 89,087 | 739 | 3,831 | 30 | 1,657,869 | 2,574 | 0.6720 | 432.7656 | 0.9356 |
| 55 | 88,348 | 797 | 3,584 | 31 | 1,661,453 | 2,605 | 0.7268 | 463.5686 | 0.9349 |
| 56 | 87,551 | 856 | 3,351 | 31 | 1,664,804 | 2,636 | 0.7866 | 496.8559 | 0.9342 |
| 57 | 86,695 | 919 | 3,130 | 31 | 1,667,934 | 2,667 | 0.8520 | 532.8674 | 0.9334 |
| 58 | 85,776 | 987 | 2,922 | 32 | 1,670,856 | 2,699 | 0.9237 | 571.8911 | 0.9325 |
| 59 | 84,789 | 1,063 | 2,725 | 32 | 1,673,580 | 2,731 | 1.0023 | 614.2612 | 0.9316 |
| 60 | 83,726 | 1,145 | 2,538 | 33 | 1,676,118 | 2,764 | 1.0889 | 660.3836 | 0.9305 |
| 61 | 82,581 | 1,233 | 2,362 | 33 | 1,678,480 | 2,797 | 1.1843 | 710.7123 | 0.9293 |
| 62 | 81,348 | 1,324 | 2,195 | 34 | 1,680,675 | 2,831 | 1.2897 | 765.7737 | 0.9280 |
| 63 | 80,024 | 1,415 | 2,037 | 34 | 1,682,712 | 2,865 | 1.4064 | 826.1501 | 0.9267 |
| 64 | 78,609 | 1,502 | 1,888 | 34 | 1,684,599 | 2,899 | 1.5357 | 892.4825 | 0.9254 |
| 65 | 77,107 | 1,587 | 1,747 | 34 | 1,686,346 | 2,933 | 1.6789 | 965.4596 | 0.9240 |
| 66 | 75,520 | 1,674 | 1,614 | 34 | 1,687,960 | 2,966 | 1.8380 | 1,045.8929 | 0.9225 |
| 67 | 73,846 | 1,764 | 1,489 | 34 | 1,689,449 | 3,000 | 2.0150 | 1,134.7782 | 0.9209 |
| 68 | 72,082 | 1,864 | 1,371 | 33 | 1,690,820 | 3,033 | 2.2125 | 1,233.3015 | 0.9190 |
| 69 | 70,218 | 1,970 | 1,260 | 33 | 1,692,079 | 3,067 | 2.4340 | 1,343.0031 | 0.9169 |
| 70 | 68,248 | 2,083 | 1,155 | 33 | 1,693,235 | 3,100 | 2.6833 | 1,465.6754 | 0.9146 |
| 71 | 66,165 | 2,193 | 1,057 | 33 | 1,694,291 | 3,133 | 2.9651 | 1,603.5267 | 0.9121 |
| 72 | 63,972 | 2,299 | 964 | 33 | 1,695,255 | 3,166 | 3.2847 | 1,759.0064 | 0.9095 |
| 73 | 61,673 | 2,394 | 877 | 32 | 1,696,132 | 3,198 | 3.6482 | 1,935.0520 | 0.9068 |
| 74 | 59,279 | 2,480 | 795 | 31 | 1,696,926 | 3,229 | 4.0627 | 2,134.9916 | 0.9039 |
| 75 | 56,799 | 2,560 | 718 | 31 | 1,697,645 | 3,260 | 4.5370 | 2,362.9039 | 0.9009 |
| 76 | 54,239 | 2,640 | 647 | 30 | 1,698,292 | 3,289 | 5.0821 | 2,623.8952 | 0.8975 |
| 77 | 51,599 | 2,721 | 581 | 29 | 1,698,873 | 3,318 | 5.7124 | 2,924.6322 | 0.8936 |
| 78 | 48,878 | 2,807 | 519 | 28 | 1,699,392 | 3,346 | 6.4465 | 3,273.6908 | 0.8892 |
| 79 | 46,071 | 2,891 | 462 | 27 | 1,699,854 | 3,374 | 7.3088 | 3,682.5383 | 0.8842 |
| 80 | 43,180 | 2,972 | 408 | 27 | 1,700,262 | 3,400 | 8.3309 | 4,165.8382 | 0.8785 |
| 81 | 40,208 | 3,036 | 359 | 26 | 1,700,620 | 3,426 | 9.5548 | 4,743.1843 | 0.8722 |
| 82 | 37,172 | 3,077 | 313 | 24 | 1,700,933 | 3,450 | 11.0333 | 5,439.4158 | 0.8653 |
| 83 | 34,095 | 3,083 | 271 | 23 | 1,701,204 | 3,473 | 12.8361 | 6,287.1300 | 0.8581 |
| 84 | 31,012 | 3,052 | 232 | 22 | 1,701,436 | 3,495 | 15.0518 | 7,327.8825 | 0.8506 |
| 85 | 27,960 | 2,999 | 197 | 20 | 1,701,633 | 3,515 | 17.7976 | 8,616.4302 | 0.8422 |
| 86 | 24,961 | 2,923 | 166 | 18 | 1,701,800 | 3,533 | 21.2426 | 10,231.7725 | 0.8329 |
| 87 | 22,038 | 2,803 | 139 | 17 | 1,701,938 | 3,550 | 25.6237 | 12,285.1904 | 0.8234 |
| 88 | 19,235 | 2,637 | 114 | 15 | 1,702,052 | 3,565 | 31.2485 | 14,920.9630 | 0.8141 |
| 89 | 16,598 | 2,444 | 93 | 13 | 1,702,145 | 3,577 | 38.5248 | 18,330.0160 | 0.8045 |
| 90 | 14,154 | 2,246 | 75 | 11 | 1,702,220 | 3,589 | 48.0373 | 22,785.8030 | 0.7937 |
| 91 | 11,908 | 2,045 | 59 | 10 | 1,702,279 | 3,598 | 60.6856 | 28,709.5044 | 0.7814 |
| 92 | 9,863 | 1,831 | 46 | 8 | 1,702,325 | 3,606 | 77.8394 | 36,742.8782 | 0.7683 |
| 93 | 8,032 | 1,608 | 36 | 7 | 1,702,361 | 3,613 | 101.5078 | 47,827.0344 | 0.7545 |
| 94 | 6,424 | 1,381 | 27 | 5 | 1,702,388 | 3,619 | 134.7342 | 63,387.6041 | 0.7406 |
| 95 | 5,043 | 1,159 | 20 | 4 | 1,702,408 | 3,623 | 182.1451 | 85,591.7371 | 0.7266 |
| 96 | 3,884 | 945 | 14 | 3 | 1,702,422 | 3,626 | 250.9173 | 117,801.5865 | 0.7139 |
| 97 | 2,939 | 754 | 10 | 2 | 1,702,433 | 3,629 | 351.7345 | 165,021.0216 | 0.7014 |
| 98 | 2,185 | 587 | 7 | 2 | 1,702,440 | 3,630 | 501.7512 | 235,285.4804 | 0.6900 |
| 99 | 1,598 | 448 | 5 | 1 | 1,702,445 | 3,632 | 727.4898 | 341,017.7090 | 0.6789 |
| 100 | 1,150 | 1,150 | 3 | 3 | 1,702,448 | 3,635 | 1,072.4916 | 502,299.3278 | 0.0000 |