6^3 
expressive of the law of human mortality, ^c. 
Example. To find the annual premium to assure a life, at 
the age a years, for lo years, according to the Carlisle 
mortality, and three per cent, interest. 
a — 
20 
30 
40 
50 
60 
70 
Log. of the accommoda. ' 
chance for living I o yrs. 
at the age a— i,Tab.V. _ 
X 1,03- = 
I . 9690 
I. 8716 
1. 9556 
T.8716 
T . 9406 
T.8716 
T.9328 
T.8716 
i ’-8435 
T.8716 
T.7005 
T.8716 
Sum . . 
• — 
T . 8406 
1. 8272 
I. 8122 
T . 8044 
1-7151 
T.5721 
‘Corresponding . . . 
To this we get from Ta. I. 
r 
1 
• 9 H 43 
31 
. 90407 
362 
10 
.89892 
103 
10 
•89379 
205 
21 
.84846 
248 
5 
.78092 
94 
5 
1 a — I 
^ iO ^ 
L 
. — 
.91474 
.90779 
.90005 
. 89605 
.85099 
.78191 
Therefore, 
1. 96682 
T. 95400 
*•93772 
T. 91830 
T. 81893 
1-59873 
\ 1,03-*®= 
I. 87163 
T. 87163 
T. 87163 
T^87i63 
1-87163 
T. 87163 
Sum = the log. . 
« • 
T. 83845 
T. 82563 
T. 80935 
I • 78993 
T. 69056 
1-47036 
The N® corresponding r: 
.68937 
.66932 
. 64469 
.61650 
.49041 
•29536 
Its complement to unity 
.31063 
.33068 
•35531 
•38350 
•50959 
.70464 
The log. of the last 
r 
. ~ 
Y. 49224 
T.51941 
I. 55061 
1-58377 
T. 70722 
T. 84797 
1 
Complement of Xio 
L 
fl-i — 
T. 08526 
T. 09221 
I • 09995 
T- 10395 
T . 14901 
T . 2 1 809 
a 
^ X- * • • • • 
• 
T. 99694 
I. 99571 
T. 9948 1 
T. 99402 
T. 98754 
T -97813 
X ^ * • • • • 
• ■■ IM 
I. 98716 
T. 98716 
I. 98716 
I. 98716 
T. 98716 
T. 98716 
Sum — logarithm . 
• • 
2.56160 
2.59449 
2-63253 
2.66890 
2.83093 
T. 0313s 
Number corresponding ~ 
1,03— 1 . . . =: 
.03644 
— .0291 3 
•03931 
— .02913 
.04291 
— .02913 
.04666 
— 02913 
•06775 
— 02913 
•10749 
— 02913 
Ann. premium for an "1_ 
assurance of i/. . j ~ 
Ditto for 100/. . . . 
.C0732 
£o..i4..8 
.01018 
1 •• Oa« ^ 
.01378 
1.. 7.. 7 
•01753 
1..15.. 1 
.03862 
3..1 .. 3 
.07836^ 
7 «« 1 ^ ^ 
for annual 
premiums. 
The reader has here an opportunity of comparing the results from my tables, with 
those above calculated by Mr. Milne’s Carlisle tables — I may probably be able 
at a future period to add examples, which I regret time will not at present permit. 
