ANNUITIES. 
TABLE V. 
Shewing the value of an annuity of 11. on 
the joint continuance of two lives, accord- 
ing to the probabilities of life at Northamp- 
ton. Interest at 5 per cent. 
Ages. I 
7alue. 
Ages. 
Value. 
Ages. 1 
falue 
5-5 
1,984 
20-25 1 
0,989 
40-45 
1,643 
5-10 
2,315 
20-30 
0,707 1 
40-50 
1,177 
5-15 
1,954 
20-35 : 
0,363 ! 
40-55 
',651 
5-20 
1,561 
20-40 
9,937 
40-60 
7,015 
5-25 
LI, 281 
20-45 
9,448 
40-65 
5,240 
5-30 
0,959 
20-50 
8,861 
40-70 
5,298 
5-35 
L0,572 
20-55 
8,216 
40-75 
1,272 
5-40 
10,102 
20-60 
7,463 
40-80 
3,236 
5-45 
9,571 
20-65 
6,576 
45-45 
8,312 
5-50 
8,941 
20-70 
5,532 
45-50 
7,891 
5-55 
8,256 
20-75 
4,424 
45-55 
7,411 
5-60 
7,466 
20-80 
45-60 
6,822 
5-65 
6,546 
25-25 
10,764 
45-65 
6,094 
5-70 
5,472 
25-30 
10,499 
45-70 
5,195 
5-75 
4,362 
25-35 
10,175 
45-75 
4,206 
5-80 
3,238 
25-40 
9,771 
45-80 
3,197 
10-10 
12,665 
25-45 
9,304 
50-50 
7,522 
10-15 
12,302 
25-50 
8,739 
50-55 
7,098 
10-20 
11,906 
25-55 
8,116 
50-60 
6,568 
10-25 
11,627 
25-60 
7,383 
50-65 
5,897 
10-30 
11,304 
25-65 
6,515 
50-70 
5,054 
10-35 
10,916 
25-70 
5,489 
50-75 
4,112 
10-40 
10,442 
25-75 
4,396 
50-80 
3,140 
10-45 
9,900 
25-80 
3,308 
55-55 
6,735 
10-50 
9,260 
30—30 
10,255 
55-60 
6,272 
10-55 
8,560 
30-35 
9,954 
55-65 
5,671 
10-60 
7,750 
30-40 
9,576 
55-70 
4,893 
10-65 
6,803 
30-45 
9,135 
55-75 
4,006 
10-70 
5,700 
30-50 
8,596 
55-80 
3,076 
10-75 
4,522 
30-55 
7,999 
60-60 
5,888 
10-80 
3,395 
! 30-60 
7,292 
60-65 
5,372 
15-15 
11,960 
i 30—65 
6,447 
60-70 
4,680 
15-20 
11,585 
| 30-70 
5,442 
60-75 
3,866 
15-25 
11,324 
! 30-75 
4,365 
60-8C 
2,992 
15-30 
11,021 
j 30-80 
3,290 
65-65 
4,960 
15-35 
10,655 
35-35 
9,680 
65~7( 
4,378 
15-40 
10,205 
' 35-40 
9,331 
65-7. 
3,665 
15-45 
9', 690 
' 35-45 
8,921 
j 65-8( 
2,873 
15-50 
9,076 
35-50 
8,415 
70-7 
3 3,930 
15-55 
8,405 
! 35-55 
7,849 
1 70-7 
5 3,347 
15-60 
7,62S 
| 35-6C 
7,174 
70-8 
0 2,675 
15-65 
6,70. 
1 35-6-1 
6,360 
75-7 
5 2,917 
15-70 
5,63 
1 35-7C 
5,382 
1 75-8 
0 2,381 
15-7. 
4,49 
) 35-7. 
4,327 
| 80-80 2,018 
15-80 
3,37 
1 135-81 
3,26f 
85-85 ;1,256 
20-2 
) 11,23 
1 
l ,40-4 
1 9, 01( 
: 90-90 0,909 
To find the value of any annuity during 
the continuance of a life of any given age, 
or during the joint continuance of two lives, 
it is only necessary to multiply the value in 
the table, against the given age, by the an- 
nuity ; or to find the annuity equivalent to 
any certain sum, divide the sum by the value 
in the table against the given age. 
Examples. — What is the difference in 
value between an annuity of 502. during the 
life of a person aged 35, and an annuity of 
60 2. during two lives of 30 and 35, to cease 
when either of the two lives shall fail ? 
The value in Table III. against the age of 
35 is 12,502, which multiplied by 50 gives 
625.11. the value in Table V. against the 
ages of 30 and 35 is 9.954, which multiplied 
by 60 gives 597.241. the value . of the for- 
mer annuity therefore exceeds the latter 
by 271. 17s. 2d. 
What annuity, during his life, ought a per- 
son aged 45 to receive in lieu of an annuity 
of gof. certain for the term of 18 years? 
The value of an annuity certain for 18 
years, is by Table II. 11 .689587, which mul- 
tiplied by 20 gives 233 79171. this sum 
divided by 11.105, the value of an annuity 
during a life of 45, by Table III. gives the 
answer of 212. Its. 
What annuity, during his life, ought a per- 
son aged 40 to receive for 500 2. ? 
The value of an annuity during a life of 
40 years of age, is by Table III. 11.837, and 
5002. divided by this sum gives 421. 4s. 9d. 
per annum ; but if the value of the life is 
taken, as in Table IV. (or 13.466), the sum 
to be received will be 37 Z. 2s. 7 d. 
For the values of annuities which are 
not to commence till after a certain period, 
or after a given life or lives, see Rever- 
sions. 
Annuities are frequently granted by 
parishes, trusts, and public societies, for the 
purpose of raising money for the erection 
or repair of churches, chapels, workhouses, 
bridges, or other expensive buildings; it 
being often found practicable to obtain 
money in this Way, when it could not be 
procured at the ordinary rate of interest ; it 
lias likewise the recommendation of gradu- 
ally extinguishing the debt, which might 
otherwise often remain a permanent bur- 
then. Life annuities are also frequently 
granted, for money borrowed by persons 
possessing life estates, and who, therefore, 
can not give the lender a permanent secu- 
rity. As such annuities depend on the life 
of the grantor, few persons are disposed to 
purchase them, unless they can be obtained 
on such terms, as after allowing for the ex- 
' pense of assuring the grantor's life, leaves an 
income somewhat greater than the common 
rate of interest. It also frequently happens 
that tire annuities are not very punctually 
paid, which with other risks attending them, 
causes annuities of this description always to 
sell considerably under their real value; 
