ANNUITIES. 
intents, and to be made at the end of every 
half-year from the time of purchase, tire 
value will be increased about one-fifth of a 
year's purchase. 
The above table is formed from the pro- 
babilities of life, as deduced from the regis- 
ter of mortality at Northampton for 46 
years, from 1735 to 1780 ; and as it gives the 
mean values of lives between the highest and 
lowest, it is better adapted for general use 
than any other extant. It has of late years 
been generally adopted for calculating the 
rates of assurance on lives, and is well suited 
to this purpose ; but it is by no means a pro- 
per table for individuals or societies to grant 
life annuities from, for having been formed 
from a register comprehending persons of 
all ages and conditions, it cannot give a cor- 
rect representation of the duration and 
value of such lives as usually form a body 
of annuitants, such persons being generally 
a selection of the best lives from the com- 
mon mass, the interest, of every person 
who purchases an annuity on any life requir- 
ing that he should take care that it is a good 
life. The best table for regulating the grant 
of life annuities, is that formed from the 
table of mortality published by Mr. De 
Parcieux, from the lists of the French ton- 
tines, but even this table gives the values of 
the advanced ages considerably too low. 
TABLE IV. 
Shewing the value of an annuity of 1 1 . on a single life, at every age, according to the 
probabilities of life, in Mr. De Parcietix’s table of the mortality. Interest at 5 per 
cent. 
Age. 
Value. 
Age. 
Value. 
Age. 
Value. 
Age. 
Value. 
Age. 
Value. 
0 
11,083 
18 
15,631 
36 
14,065 
54 
10,418 
72 
.5,540 
1 
14,620 
19 
15,550 
37 
13,930 
55 
10,168 
73 
5,232 
2 
15,135 
20 
15,474 
38 
13,786 
56 
9,930 
74 
4,942 
3 
15,509 
21 
15,401 
39 
13,632 
57 
9,682 
75 
4,674 
4 
15,750 
22 
15,328 
40 
13,466 
58 
9,431 
76 
4,429 
5 
15,924 
23 
15,256 
41 
13,296 
59 
9,177 
77 
4,190 
6 
16,041 
24 
15,184 
42 
13,116 
60 
8,923 
78 
3,953 
7 
16,118 
25 
15,112 
43 
12,931 
61 
8,669 
79 
3,719 
8 
16,169 
26 
15,040 
44 
12,738 
62 
8,413 
80 
3,501 
9 
16,204 
27 
14,969 
45 
12,539 
63 
8,155 
81 
3,283 
10 
16,210 
28 
14,893 
46 
12,333 
64 
7,893 
82 
3,072 
11 
16,194 
29 
14,810 
47 
12,119 
65 
7,626 
83 
2,868 
12 
16,145 
30 
14,722 
48 
11,897 
66 
7,351 
84 
2,668 
13 
16,077 
31 
14,627 
49 
11,666 
67 
7,069 
85 
2,461 
14 
15,994 
32 
14,527 
50 
11,425 
68 
6,778 
86 
2,237 
15 
15,901 
33 
14,421 
51 
11,178 
69 
6,479 
87 
1,976 
16 
15,807 
34 
14,306 
52 
10,926 
70 
6,171 
88 
1,688 
17 
15,716 
35 
14,189 
53 
10,673 
71 
5,856 
89 
1,409 
90 
1,164 
The calculation of the values of joint lives 
from any given table of mortality, for every 
combination of age, is so laborious a task 
that no such table has yet been published. 
Mr. Simpson, in his select exercises, gave a 
table of the values of two joint lives, agree- 
able to the probabilities of life in London ; 
but the tables founded on the London bills, 
representing the rate of mortality among 
the inhabitants, taken in the gross, give 
the values of lives much too low for the 
middling and superior classes of the people 
in London itself, and are wholly improper 
for general use. A much more comprehen- 
sive table of the value of joint lives, has 
since been calculated by Dr. Price from 
the Northampton fable of mortality, from 
which the following table is taken. 
