| Pivotal age (days) 'x' |
Lx |
e-rm(x+1) |
Lx.e-rm(x+1) |
Per cent contribution |
| 0 |
1.00 |
0.8571 |
0.8571 |
14.5748 |
| 1 |
1.00 |
0.7346 |
0.7346 |
12.4921 |
| 2 |
1.00 |
0.6296 |
0.6296 |
10.7070 |
| 3 |
1.00 |
0.5397 |
0.5397 |
9.1769 |
| 4 |
1.00 |
0.4626 |
0.4626 |
7.8656 |
| |
|
|
|
=54.8164 |
| 5 |
1.00 |
0.3965 |
0.3965 |
6.7416 |
| 6 |
0.99 |
0.3398 |
0.3364 |
5.7204 |
| 7 |
0.97 |
0.2912 |
0.2825 |
4.8039 |
| 8 |
0.96 |
0.2496 |
0.2396 |
4.0750 |
| 9 |
0.96 |
0.2140 |
0.2054 |
3.4927 |
| 10 |
0.96 |
0.1834 |
0.1760 |
2.9936 |
| 11 |
0.95 |
0.1572 |
0.1493 |
2.5391 |
| 12 |
0.95 |
0.1347 |
0.1280 |
2.1762 |
| 13 |
0.95 |
0.1155 |
0.1097 |
1.8653 |
| 14 |
0.95 |
0.0990 |
0.0940 |
1.5987 |
| 15 |
0.94 |
0.0848 |
0.0797 |
1.3558 |
| 16 |
0.94 |
0.0727 |
0.0683 |
1.1621 |
| 17 |
0.93 |
0.0623 |
0.0580 |
0.9854 |
| 18 |
0.93 |
0.0534 |
0.0497 |
0.8446 |
| 19 |
0.92 |
0.0458 |
0.0421 |
0.7161 |
| 20 |
0.92 |
0.0392 |
0.0361 |
0.6138 |
| 21 |
0.92 |
0.0336 |
0.0309 |
0.5261 |
| 22 |
0.92 |
0.0288 |
0.0265 |
0.4509 |
| 23 |
0.92 |
0.0247 |
0.0227 |
0.3865 |
| 24 |
0.92 |
0.0212 |
0.0195 |
0.3312 |
| 25 |
0.92 |
0.0181 |
0.0167 |
0.2839 |
| 26 |
0.92 |
0.0156 |
0.0143 |
0.2433 |
| 27 |
0.90 |
0.0133 |
0.0120 |
0.2040 |
| 28 |
0.90 |
0.0114 |
0.0103 |
0.1749 |
| 29 |
0.90 |
0.0098 |
0.0088 |
0.1499 |
| |
|
|
|
=44.4353 |
| 30 |
0.88 |
0.0084 |
0.0074 |
0.1256 |
| 31 |
0.88 |
0.0072 |
0.0063 |
0.1077 |
| 32 |
0.88 |
0.0062 |
0.0054 |
0.0923 |
| 33 |
0.88 |
0.0053 |
0.0047 |
0.0791 |
| 34 |
0.88 |
0.0045 |
0.0040 |
0.0678 |
| 35 |
0.88 |
0.0039 |
0.0034 |
0.0581 |
| 36 |
0.88 |
0.0033 |
0.0029 |
0.0498 |
| 37 |
0.88 |
0.0029 |
0.0025 |
0.0427 |
| 38 |
0.88 |
0.0024 |
0.0022 |
0.0366 |
| |
|
|
|
=0.6596 |
| 39 |
0.58 |
0.0021 |
0.0012 |
0.0207 |
| 40 |
0.58 |
0.0018 |
0.0010 |
0.0177 |
| 41 |
0.58 |
0.0015 |
0.0009 |
0.0152 |
| 42 |
0.53 |
0.0013 |
0.0007 |
0.0119 |
| 43 |
0.47 |
0.0011 |
0.0005 |
0.0090 |
| 44 |
0.45 |
0.0010 |
0.0004 |
0.0074 |
| 45 |
0.30 |
0.0008 |
0.0002 |
0.0042 |
| 46 |
0.13 |
0.0007 |
0.0001 |
0.0016 |
| 47 |
0.10 |
0.0006 |
0.0001 |
0.0010 |
| |
|
|
=5.8807 |
=0.0888 |
|