L I F E-A N N U I T Y. 
Table I. continued. 
643 
1 Ages. 
Vienna. 
Berlin. 
London. 
Nor it ich. 
Noit )- 
ampton. 
Breflau. 
brancien- 
burg. 
Holy- 
Crofs. 
Holland. 
France, 
S Wilier. 
land. 
5 1 
142 
15* 
141 
248 
239 
259 
367 
347 
354 
429 
422 
5* 
137 
147 
135 
242 
232 
250 
359 
34° 
345 
42 2 
414 
S3 
133 
142 
130 
235 
225 
241 
351 
333 
33*5 
414 
406 
54- 
128 
137 
125 
228 
218 
232 
343 
326 
327 
406 
397 
55 
123 
132 
120 
221 
21 I 
224 
334 
318 
318 
397 
388 
56 
117 
I 27 
ii 6 
213 
204 
216 
324 
310 
3°9 
388 
377 
57 
I I I 
I 21 
hi 
206 
197 
209 
3 J 4 
301 
300 
379 
364 
58 
106 
ns 
xo6 
199 
I 9O 
201 
304 
292 
291 
3’ 6 9 
348 
59 
IOI 
IO9 
IOI 
191 
183 
193 
293 
283 
282 
359 
33i 
60 
96 
103 
96 
184 
176 
186 
282 
273 
273 
349 
3>4 
6l 
9 1 
97 
92 
177 
169 
178 
271 
263 
264 
339 
299 
62 
87 
92 
87 
169 
162 
170 
260 
253 
255 
329 
286 
63 
82 
88 
83 
l6l 
155 
163 
248 
243 
245 
318 
274 
64 
77 
84 
78 
153 
148 
155 
236 
233 
235 
307 
262 
65 
7 Z 
80 
74 
144 
141 
147 
224 
223 
225 
296 
250 
66 
67 
75 
70 
136 
1 34 
140 
213 
213 
215 
285 
236 
67 
62 
70 
65 
128 
127 
132 
202 
203 
205 
273 
220 
68 
57 
65 
6l 
119 
120 
124 
I 90 
193 
195 
260 
202 
6 9 
5 Z 
60 
56 
III 
113 
117 
178 
182 
185 
246 
184 
70 
48 
55 
S z 
103 
106 
109 
166 
171 
175 
232 
168 
7i 
44 
Cl 
47 
94 
99 
IOI 
153 
l6l 
165 
218 
>53 
7 Z 
40 
47 
43 
86 
92 
93 
138 
1 5 I 
155 
195 
140 
73 
36 
43 
39 
79 
85 
85 
122 
142 
145 
188 
I29 
74 
33 
39 
35 
71 
78 
77 
107 
134 
135 
173 
1 '9 
I 75 
30 
35 
3 Z 
64 
7 1 
69 
93 
126 
125 
158 
09 
I 76 
27 
3 Z 
28 
57 
64 
6 1 
80 
119 
I 14 
144 
98 
77 
24 
29 
25 
50 
58 
53 
68 
112 
103 
129 
85 
1 78 
21 
26 
22 
43 
5* 
45 
59 
i°S 
92 
11 5 
7i 
1 79 
18 
23 
19 
37 
46 
38 
5i 
98 
82 
102 
58 
1 80 
16 
20 
17 
3 Z 
40 
3 Z 
44 
90 
72 
88 
46 
81 
14 
18 
14 
27 
34 
26 
38 
81 
62 
75 
36 
82 
12 
l6 
1 2 
23 
28 
22 
32 
71 
53 
63 
29 
83 
10 
14 
10 
19 
23 
18 
25 
6l 
45 
53 
24 
84 
8 
12 
8 
l6 
19 
15 
21 
51 
38 
44 
20 
85 
7 
IO 
7 
13 
l6 
12 
15 
41 
3 1 
36 
17 
i 86 
6 
8 
6 
10 
13 
9 
I I 
3 Z 
25 
28 
14 
87 
5 
7 
5 
8 
I I 
6 
8 
24 
19 
21 
I I 
88 
4 
6 
4 
6 
8 
4 
6 
17 
14 
16 
9 
89 
3 
5 
3 
5 
6 
2 
4 
I I 
IO 
I 2 
7 
90 
2 
4 
2 
4 
4 
I 
3 
7 
7 
8 
5 
This Table ftiows that the mortality and chance of life 
are very various in different places ; and that therefore, 
to obtain a fufficient accuracy, it is neceffary to adapt a 
table of probabilities or chances of life to every place 
for which annuities are to be calculated ; or at leaft one 
fet of tables for large towns, and another for country 
places, as well as for the fuppofition of different rates of 
interelL 
Several of the foregoing calculations, as they commenced 
•with numbers different from one another, are here reduced 
to the fame number at the beginning, viz. 1000 perfons, 
by which means we are enabled by infpeftion, at any age, 
to compare the numbers together, and immediately perceive 
the relative degrees of vitality at the feveral places. The 
tables are alfo arranged according to the degree of vitality 
amongft them ; the leaft, or that at Vienna, firlt; and the 
reft in their order, to the higheft, which is the province 
of Vaud in Swifferland. The authorities upon which tbefe 
tables depend, are as they here follow : The firft, taken 
from Dr. Price’s Obfervations on Reverfionary Payments, 
is formed from the bills at Vienna, for eight years, as given 
by Mr. Sufmilch, in his Gottliche Ordnung; the 2d, for 
Berlin, from the fame, as formed from the bills there for 
four years, viz. from 1752 to 1755; the 3d, from Dr. Price, 
fhowing the true probabilities of life in London, formed 
from the bills for ten years, viz. from 1759 t0 1768 ; the 
4th, for Norwich, formed by Dr. Price from the bills for 
30 years, viz. from 1740 to 1769; the 5th, by the fame, 
from the bills for Northampton; the 6th, as deduced by 
Dr. Halley, from the bills of mortality at Breflau ; the 
7th ftiows the probabilities of life in a country parifti in 
Brandenburg, formed from the bills for 50 years, from 
1710 to 1759, as given by Mr. Sufmilch; the 8th ftiows the 
probabilities of life in the parifti of Holy-Crofs, near 
Shrewfbury, formed from a regifter kept by the Rev. Mr. 
Garfuch, for 20 years, from 1750 to 1770; the 9th, for 
Holland, was formed by M. Kerlfeboom, from the regif- 
ters of certain annuities for lives granted by the govern¬ 
ment of Holland, which had been kepttherefor 123 years, 
in which the ages of the feveral annuitants dying during 
that period had been truly entered; the 10th, for France,, 
•were formed by M. Des Parcieux, from the lifts of the 
French tontines, or long annuities, and verified by a com- 
parifon with the mortuary regifters of feveral religious 
houfes for both fexes; and the nth, orlaft, for the diltridt 
of Vaud in Swifferland, was formed by Dr. Price from the 
regifters of 43 parifhes given by M. Muret, in the Bern 
Memoirs for the year 1766. 
From fuch lifts as the foregoing, various tables have, 
been formed for the valuation of annuities on fingle and 
joint lives, at feveral rates of intereft, in which the value 
is ftiown by infpeclion. The following are thofe that are 
given by Mr. Simpfon, in his Select Exercifes, as deduced 
from the London bills of mortality. 
Table: 
