345 
on SurvivorJfjips. 
Value of 
£• 100 
Val 
ue of £. 
1 00 payable 
on 
the death 
of A 
payable 
on the 
if 
B furvives him, according to the 
Swe- 
death of 
A if B 
den Table 
of Obfei 
vat 
ions, and at 
4 per 
furvives 
aim, by 
cent. 
the Northampton 
PQ 
< 
table. 
c 
'-+-4 
0 
cc 
< 
* 
< 
<u 
bi) 
OjO 
True 
Simp- 
- 4 — < 
O 
■-tr 
T rue 
Simp- 
. 
T rue 
S I M P - 
< 
< 
value. 
son’s 
V 
V 
value 
son’s 
<V 
<U 
value. 
son’s 
value. 
be 
< 
bJC 
< 
value. 
Of. 
< 
or 
< 
value. 
20 
0 
25.09 
18.46 
20 
2 
21.47 
16.80 
60 
3 6 
12.29 
16.81 
20 
10 
1 5-49 
17 - 5 + 
20 
14 
15.42 
17.82 
60 
42 
16.1 1 
19.58 
40 
0 
23-57 
1 5-97 
20 
20 
20.01 
19.84 
60 
60 
36.96 
3 6 *34 
60 
2 
! 9 ’S 3 
1 1-75 
40 
4 
2 3*53 
14.22 
76 
40 
9.21 
9.81 
60J40 
‘ 8-73 
19.61* 
40 
16 
i 3 * 7 i 
16.23 
76 
>2 
12.58 
14.00 
40 
28 
17.60 
20.44 
94 
23.81 
22.8 1 
40 
40 
27.62 
27.00 
76 
76 
42.90 
43*29 
60 
2 4 
9*39 
13.01 
In order further to compare Mr. Simpson’s approximation 
with the true value, I have inferted in the foregoing table a 
few computations deduced from the Sweden Table of Obfer- 
vations, in which the decrements of life are unequal. From 
thefe inftances the approximation appears to be more defective 
in proportion as the probabilities of life differ from the hypo- 
thecs. It may be proper, however, to obferve, that this table 
has been computed from the values of two joint lives given by 
Dr. Price in his Treatile on Reverfionary Payments, which 
values cannot be found with perfect correftnefs at every age, 
becaufe given in that Treatile (Vol. II. p. 57, &c. and p. 144, 
&c.) only for ages that are either equal, or whofe difference is 
five years or fome multiple of five as in the Northampton 
Table, or fix years or fome multiple of fix as in the Sweden 
Table. This circumffance may perhaps be fuppofed to affe<T 
the values of the lurvivorfhips computed from them, when the 
* Thefe values at 3 per cent, are 21.92 and 22.78. 
5 
joint 
