INDEPENDENCE LIFETABLE CONSTRUCTION |
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| PURCHASE PRICE: 1000 | ||||
AGE(y) | Ixy | Sxy | λxy ind | Dxy | Nxy | axy_ind | PAYMENT STREAM | AGE(x) |
55 | 100,000 | 0.987322 | 0.01276 | 33,650.42 | 748,844.1 | 22.25363 | 44.9364899 | 55 |
56 | 98,732.15 | 0.989001 | 0.01106 | 32,572.34 | 715,193.7 | 21.95708 | 45.54338661 | 56 |
57 | 97,646.23 | 0.989673 | 0.010381 | 31,582.44 | 682,621.3 | 21.61395 | 46.26641343 | 57 |
58 | 96,637.84 | 0.989943 | 0.010108 | 30,643.42 | 651,038.9 | 21.24563 | 47.06849595 | 58 |
59 | 95,665.97 | 0.989986 | 0.010064 | 29,740.44 | 620,395.5 | 20.86033 | 47.93787231 | 59 |
60 | 94,708.01 | 0.989892 | 0.010159 | 28,865.32 | 590,655 | 20.46244 | 48.87001675 | 60 |
61 | 93,750.7 | 0.989705 | 0.010348 | 28,013.28 | 561,789.7 | 20.0544 | 49.86435956 | 61 |
62 | 92,785.53 | 0.989454 | 0.010602 | 27,181.26 | 533,776.4 | 19.63766 | 50.92256147 | 62 |
63 | 91,807.06 | 0.989153 | 0.010906 | 26,367.27 | 506,595.2 | 19.21303 | 52.04801895 | 63 |
64 | 90,811.23 | 0.988808 | 0.011255 | 25,569.87 | 480,227.9 | 18.781 | 53.24528938 | 64 |
65 | 89,794.87 | 0.988414 | 0.011653 | 24,787.94 | 454,658 | 18.34191 | 54.51995834 | 65 |
66 | 88,754.53 | 0.987967 | 0.012106 | 24,020.34 | 429,870.1 | 17.89608 | 55.87814592 | 66 |
67 | 87,686.54 | 0.98746 | 0.012619 | 23,265.99 | 405,849.7 | 17.44391 | 57.32659994 | 67 |
68 | 86,586.97 | 0.986891 | 0.013196 | 22,523.76 | 382,583.7 | 16.98579 | 58.87274996 | 68 |
69 | 85,451.88 | 0.986254 | 0.013841 | 21,792.64 | 360,060 | 16.52209 | 60.52501545 | 69 |
70 | 84,277.27 | 0.985547 | 0.014558 | 21,071.65 | 338,267.4 | 16.0532 | 62.29287286 | 70 |
71 | 83,059.23 | 0.984762 | 0.015355 | 20,359.9 | 317,195.7 | 15.57943 | 64.18719582 | 71 |
72 | 81,793.58 | 0.983891 | 0.01624 | 19,656.53 | 296,835.8 | 15.10113 | 66.22021465 | 72 |
73 | 80,475.98 | 0.982889 | 0.01726 | 18,960.67 | 277,179.3 | 14.61864 | 68.40580518 | 73 |
74 | 79,098.91 | 0.981855 | 0.018312 | 18,270.81 | 258,218.6 | 14.13285 | 70.75714002 | 74 |
75 | 77,663.65 | 0.980663 | 0.019526 | 17,587.53 | 239,947.8 | 13.64306 | 73.29732669 | 75 |
76 | 76,161.88 | 0.979333 | 0.020884 | 16,909.26 | 222,360.3 | 13.15021 | 76.0444313 | 76 |
77 | 74,587.82 | 0.977847 | 0.022402 | 16,235.09 | 205,451 | 12.65475 | 79.02171141 | 77 |
78 | 72,935.47 | 0.976181 | 0.024108 | 15,564.15 | 189,215.9 | 12.15716 | 82.25603251 | 78 |
79 | 71,198.19 | 0.974307 | 0.026029 | 14,895.51 | 173,651.8 | 11.65799 | 85.77805174 | 79 |
80 | 69,368.91 | 0.97219 | 0.028204 | 14,228.24 | 158,756.3 | 11.15783 | 89.6231621 | 80 |
81 | 67,439.76 | 0.969793 | 0.030673 | 13,561.32 | 144,528 | 10.65737 | 93.8318065 | 81 |
82 | 65,402.58 | 0.967065 | 0.03349 | 12,893.8 | 130,966.7 | 10.15734 | 98.4509591 | 82 |
83 | 63,248.52 | 0.963949 | 0.036716 | 12,224.64 | 118,072.9 | 9.658598 | 103.5346902 | 83 |
84 | 60,968.37 | 0.960375 | 0.040431 | 11,552.88 | 105,848.3 | 9.162069 | 109.145658 | 84 |
85 | 58,552.52 | 0.95626 | 0.044726 | 10,877.55 | 94,295.38 | 8.668808 | 115.3561146 | 85 |
86 | 55,991.43 | 0.951503 | 0.049713 | 10,197.81 | 83,417.83 | 8.179977 | 122.2497347 | 86 |
87 | 53,276.01 | 0.945982 | 0.055531 | 9512.983 | 73,220.02 | 7.696852 | 129.9232519 | 87 |
88 | 50,398.16 | 0.939553 | 0.062351 | 8822.66 | 63,707.04 | 7.220842 | 138.4879971 | 88 |
89 | 47,351.75 | 0.932044 | 0.070376 | 8126.821 | 54,884.38 | 6.753487 | 148.0716653 | 89 |
90 | 44,133.89 | 0.923251 | 0.079854 | 7426.03 | 46,757.56 | 6.29644 | 158.8198986 | 90 |
91 | 40,746.67 | 0.912941 | 0.091084 | 6721.659 | 39,331.53 | 5.851461 | 170.8975 | 91 |
92 | 37,199.3 | 0.900837 | 0.104431 | 6016.155 | 32,609.87 | 5.420384 | 184.4888 | 92 |
93 | 33,510.49 | 0.886635 | 0.120322 | 5313.306 | 26,593.71 | 5.005116 | 199.7956 | 93 |
94 | 29,711.59 | 0.869999 | 0.139263 | 4618.593 | 21,280.41 | 4.607552 | 217.035 | 94 |
95 | 25,849.06 | 0.85058 | 0.161837 | 3939.385 | 16,661.81 | 4.229547 | 236.4319 | 95 |
96 | 21,986.68 | 0.827954 | 0.188798 | 3285.059 | 12,722.43 | 3.872816 | 258.2101 | 96 |
97 | 18,203.96 | 0.802014 | 0.22063 | 2666.546 | 9437.37 | 3.539173 | 282.5519 | 97 |
98 | 14,599.82 | 0.772303 | 0.258379 | 2096.674 | 6770.823 | 3.229317 | 309.663 | 98 |
99 | 11,275.48 | 0.738749 | 0.302797 | 1587.516 | 4674.15 | 2.944316 | 339.6374 | 99 |
100 | 8329.751 | 0.701364 | 0.354728 | 1149.78 | 3086.634 | 2.684542 | 372.503 | 100 |
101 | 5842.187 | 0.660341 | 0.414999 | 790.6024 | 1936.854 | 2.449845 | 408.189 | 101 |
102 | 3857.834 | 0.616061 | 0.48441 | 511.8304 | 1146.251 | 2.239514 | 446.5255 | 102 |
103 | 2376.66 | 0.569077 | 0.56374 | 309.1358 | 634.4207 | 2.05224 | 487.2725 | 103 |
104 | 1352.502 | 0.519526 | 0.654838 | 172.4726 | 325.2849 | 1.88601 | 530.2199 | 104 |
105 | 702.6603 | 0.469801 | 0.755445 | 87.84709 | 152.8124 | 1.739527 | 574.869 | 105 |
106 | 330.1108 | 0.419039 | 0.869791 | 40.46146 | 64.96529 | 1.605609 | 622.8165 | 106 |
107 | 138.3293 | 0.368476 | 0.99838 | 16.62247 | 24.50383 | 1.474139 | 678.3623 | 107 |
108 | 50.97098 | 0.318742 | 1.143375 | 6.004881 | 7.881357 | 1.312492 | 761.9096 | 108 |
109 | 16.24657 | 0.27038 | 1.307927 | 1.876476 | 1.876476 | 1 | 1000 | 109 |
INDEPENDENCE LIFETABLE CONSTRUCTION |
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| PURCHASE PRICE: 1000 | ||||
AGE(y) | Ixy | Sxy | μxy frailty | Dxy | Nxy | axy_frailty | PAYMENT STREAM | AGE(x) |
55 | 100,000 | 0.956844 | 0.044115 | 33,650.42 | 447,990.3 | 13.31306 | 75.11419 | 55 |
56 | 95,684.42 | 0.956038 | 0.044957 | 31,566.88 | 414,339.8 | 13.12578 | 76.18596 | 56 |
57 | 91,477.96 | 0.955202 | 0.045832 | 29,587.39 | 382,773 | 12.93703 | 77.2975 | 57 |
58 | 87,379.94 | 0.954334 | 0.046742 | 27,707.78 | 353,185.6 | 12.7468 | 78.45107 | 58 |
59 | 83,389.65 | 0.953432 | 0.047687 | 25,924 | 325,477.8 | 12.55507 | 79.64907 | 59 |
60 | 79,506.39 | 0.952495 | 0.048671 | 24,232.14 | 299,553.8 | 12.36184 | 80.89411 | 60 |
61 | 75,729.42 | 0.951519 | 0.049695 | 22,628.42 | 275,321.6 | 12.16708 | 82.18902 | 61 |
62 | 72,058.01 | 0.950504 | 0.050763 | 21,109.19 | 252,693.2 | 11.97077 | 83.53683 | 62 |
63 | 68,491.4 | 0.949445 | 0.051877 | 19,670.95 | 231,584 | 11.7729 | 84.94086 | 63 |
64 | 65,028.85 | 0.948341 | 0.053041 | 18,310.28 | 211,913.1 | 11.57345 | 86.40468 | 64 |
65 | 61,669.55 | 0.947189 | 0.054256 | 17,023.92 | 193,602.8 | 11.3724 | 87.93221 | 65 |
66 | 58,412.73 | 0.945985 | 0.055528 | 15,808.7 | 176,578.9 | 11.16973 | 89.5277 | 66 |
67 | 55,257.57 | 0.944726 | 0.056861 | 14,661.56 | 160,770.2 | 10.96542 | 91.1958 | 67 |
68 | 52,203.26 | 0.943407 | 0.058257 | 13,579.57 | 146,108.6 | 10.75945 | 92.94159 | 68 |
69 | 49,248.94 | 0.942026 | 0.059723 | 12,559.87 | 132,529 | 10.55179 | 94.77068 | 69 |
70 | 46,393.77 | 0.940576 | 0.061263 | 11,599.72 | 119,969.2 | 10.34242 | 96.6892 | 70 |
71 | 43,636.86 | 0.939053 | 0.062883 | 10,696.49 | 108,369.5 | 10.13131 | 98.70393 | 71 |
72 | 40,977.33 | 0.937451 | 0.06459 | 9847.62 | 97,672.96 | 9.918434 | 100.8224 | 72 |
73 | 38,414.25 | 0.935765 | 0.066391 | 9050.652 | 87,825.34 | 9.703759 | 103.0528 | 73 |
74 | 35,946.71 | 0.933986 | 0.068294 | 8303.217 | 78,774.69 | 9.48725 | 105.4046 | 74 |
75 | 33,573.73 | 0.932108 | 0.070306 | 7603.03 | 70,471.47 | 9.268867 | 107.8881 | 75 |
76 | 31,294.35 | 0.930122 | 0.07244 | 6947.889 | 62,868.44 | 9.048568 | 110.5147 | 76 |
77 | 29,107.56 | 0.928018 | 0.074704 | 6335.671 | 55,920.56 | 8.826304 | 113.2977 | 77 |
78 | 27,012.35 | 0.925786 | 0.077112 | 5764.331 | 49,584.89 | 8.602019 | 116.2518 | 78 |
79 | 25,007.65 | 0.923413 | 0.079678 | 5231.898 | 43,820.55 | 8.375651 | 119.3937 | 79 |
80 | 23,092.4 | 0.920887 | 0.082418 | 4736.475 | 38,588.66 | 8.147125 | 122.7427 | 30 |
81 | 21,265.48 | 0.918191 | 0.08535 | 4276.232 | 33,852.18 | 7.916357 | 126.3207 | 81 |
82 | 19,525.77 | 0.915308 | 0.088495 | 3849.409 | 29,575.95 | 7.683245 | 130.1533 | 82 |
83 | 17,872.09 | 0.912218 | 0.091876 | 3454.308 | 25,726.54 | 7.447669 | 134.2702 | 83 |
84 | 16,303.24 | 0.908899 | 0.095522 | 3089.296 | 22,272.23 | 7.209484 | 138.7062 | 84 |
85 | 14,817.99 | 0.905323 | 0.099464 | 2752.801 | 19,182.94 | 6.968515 | 143.5026 | 85 |
86 | 13,415.07 | 0.90146 | 0.103739 | 2443.308 | 16,430.14 | 6.724546 | 148.7089 | 36 |
87 | 12,093.15 | 0.897275 | 0.108393 | 2159.358 | 13,986.83 | 6.477309 | 154.3851 | 87 |
88 | 10,850.89 | 0.892726 | 0.113476 | 1899.547 | 11,827.47 | 6.226468 | 160.6047 | 88 |
89 | 9686.864 | 0.887762 | 0.119051 | 1662.524 | 9927.922 | 5.971597 | 167.4594 | 89 |
90 | 8599.633 | 0.882327 | 0.125193 | 1446.986 | 8265.398 | 5.712147 | 175.0655 | 90 |
91 | 7587.685 | 0.876348 | 0.131992 | 1251.681 | 6818.412 | 5.447404 | 183.5737 | 91 |
92 | 6649.455 | 0.869743 | 0.139558 | 1075.401 | 5566.731 | 5.176426 | 193.1835 | 92 |
93 | 5783.314 | 0.862406 | 0.148029 | 916.982 | 4491.33 | 4.897948 | 204.1671 | 93 |
94 | 4987.565 | 0.845001 | 0.157576 | 775.3048 | 3574.348 | 4.61025 | 216.908 | 94 |
95 | 4214.5 | 0.834576 | 0.168417 | 642.2878 | 2799.044 | 4.357927 | 229.4669 | 95 |
96 | 3517.318 | 0.82268 | 0.180832 | 525.5272 | 2156.756 | 4.103985 | 243.6656 | 96 |
97 | 2893.626 | 0.808983 | 0.195189 | 423.8632 | 1631.229 | 3.848479 | 259.8429 | 97 |
98 | 2340.894 | 0.793049 | 0.211977 | 336.1746 | 1207.366 | 3.591484 | 278.4365 | 98 |
99 | 1856.444 | 0.774291 | 0.23187 | 261.3755 | 871.1909 | 3.3331 | 300.021 | 99 |
100 | 1437.429 | 0.751898 | 0.255807 | 198.4125 | 609.8154 | 3.073472 | 325.3649 | 100 |
101 | 1080.8 | 0.724725 | 0.285154 | 146.2608 | 411.4029 | 2.812803 | 355.5173 | 101 |
102 | 783.2826 | 0.6911 | 0.321963 | 103.9204 | 265.142 | 2.551394 | 391.9425 | 102 |
103 | 541.3263 | 0.648499 | 0.369471 | 70.41114 | 161.2216 | 2.289717 | 436.7352 | 103 |
104 | 351.0496 | 0.592961 | 0.433095 | 44.76624 | 90.81045 | 2.028548 | 492.9635 | 104 |
105 | 208.1588 | 0.518012 | 0.522626 | 26.02416 | 46.04421 | 1.769287 | 565.1995 | 105 |
106 | 107.8287 | 0.41282 | 0.657758 | 13.21649 | 20.02004 | 1.514778 | 660.1627 | 106 |
107 | 44.5138 | 0.260909 | 0.884744 | 5.349046 | 6.803557 | 1.27192 | 786.2131 | 107 |
108 | 11.61405 | 0.064307 | 1.343584 | 1.368249 | 1.454511 | 1.063046 | 940.6933 | 108 |
109 | 0.746861 | 1 | 2.744092 | 0.086262 | 0.086262 | 1 | 1000 | 109 |