LIFE.ANNUITY. 
642 
of il. reckoning this intereft, anti payable a year hence, 
is (as hath been juft faid) 19s. 3d. or, in decimal parts of a 
pound, - 96 i. The number of the living at the age of 
ten (in the Northampton column of that Table) is 498 ; 
and at the next fucceeding age (or eleven) is 493. It 
follows therefore that, according to this Table, out of 498 
living at the age of ten, only 493 are living at the end of 
the year 5 or, in other words, that the chance - or probabi¬ 
lity of a life aged ten exifting through the year is as ££$•; 
which fraction, therefore, multiplied by ’961, gives the 
value fought, or *949, equal to 18s. nfd. 
Itis plain therefore that, in this bufinefs, it is neceffary to 
know the value of life at all the different ages, from l'ome 
table of obfervations on the mortality of mankind, which 
may fhow the proportion of the perfons living, out of a 
given number, at the end of any.propofed time; or from 
fomecertain hypothefis,or affumed principle. Now various 
tables and hypothefes of this fort have been given by the 
writers on this fubjedf, as Dr. Halley, Mr. Demoivre, Mr. 
Thomas 5 impfon,Mr. Dodfon,Mr.Kerffeboom,M. DesPar. 
cieux, Dr. Price, Mr. Morgan, Baron Maferes, and many 
others. But the fame table of probabilities of life will 
not fuit all places; for long experience has fhown thaft all 
places are not equally healthy, or that the proportion of 
the number of perfons that die annually is different for 
different places. Dr. Halley computed a table of the an- 
nual deaths as drawn from the bills of mortality of the 
city of Breflau in Germany, Mr. Smart and Mr. Simpfon 
from thofe of London, Dr. Price from thofe of Northamp¬ 
ton, Mr. Kerffeboom from thofe of the provinces of Hol¬ 
land and Weft-Friefland, and M. Des Parcieux from the 
lifts of the French tontines, or long annuities; and all 
thefe are found to differ from one another. It may not 
therefore be improper to infert here a comparative view 
of the principal tables that have been given of this kind, 
where the firft column fhows the age, and the other co¬ 
lumns the number of perfons living at that age, out of 
1000 born, or of the age o, in the firft line of each column. 
Table I. Showing the Number of Perfons living at all Ages, out of 1000 that had been born at feveral Places, viz. 
Ages. 
Vienna. 
Berlin. 
London. 
Norwich. 
.North¬ 
ampton. 
Breflau. 
Branden¬ 
burg. 
Holy- 
Crofs. 
Holland 
France. 
Swiller- 
land. 
O 
1000 
IOOO 
IOOO 
IOOO 
IOOO 
IOOO 
IOOO 
IOOO 
IOOO 
IOOO 
IOOO 
.1 I 
542 
633 
680 
798 
738 
769 
775 
882 
804 
805 
811 
2 
471 
52S 
548 
651 
628 
658 
718 
762 
768 
777 
765 
3 
430 
485 
492 
595 
585 
614 
687 
717 
736 
750 
735 
4 
400 
434 
452 
566 
562 
585 
664 
682 
709 
7*7 
7*5 
5 
377 
403 
426 
544 
£44 
5 6 3 
642 
659 
689 
711 
701 
6 
357 
387 
410 
526 
53° 
546 
622 
636 
676 
697 
688 
ij 7 
344 
376 
397 
5 11 
518 
53* 
607 
618 
664 
686 
677 
a 8 
337 
367 
388 
500 
5*3 
595 
604 
652 
676 
667 
I 9 
331 
361 
380 
490 
5°4 
5*5 
585 
595 
646 
667 
659 
[| IO 
326 
356 
373 
481 
498 
508 
577 
589 
639 
660 
653 
I I 
322 
353 
367 
474 
493 
502 
570 
585 
633 
654 
648 
12 
318 
35° 
361 
469 
488 
497 
564 
581 
627 
649 
643 
13 
3*4 
347 
356 
464 
484 
49* 
559 
577 
621 
644 
639 
14 
310 
344 
35i 
460 
480 
488 
554 
573 
616 
639 
635 
15 
306 
34i 
347 
455 
475 
483 
549 
569 
611 
635 
631 
l6 
302 
338 
343 
45i 
470 
479 
544 
5^5 
606 
631 
626 
17 
299 
335 
338 
446 
465 
474 
539 
560 
601 
626 
622 
18 
295 
33* 
334 
442 
459 
470 
535 
555 
59 6 
621 
618 
19 
291 
328 
329 
437 
453 
465 
53i 
55° 
59° 
616 
614 
20 
287 
324 
325 
432 
447 
461 
5*7 
545 
584 
610 
610 
21 
284 
320 
321 
426 
440 
45 6 
522 
539 
577 
604 
606 
22 
2S0 
3i5 
316 
421 
433 
45i 
517 
53* 
57* 
598 
602 
23 
276 
310 
310 
4i5 
426 
446 
512 
5*5 
566 
59* 
597 
24 
273 
3°5 
3°5 
409 
419 
44 1 
507 
518 
559 
586 
592 
2-5 
269 
297 
299 
404 
412 
436 
502 
5 1 * 
55* 
580 
587 
26 
265 
293 
294 
3 98 
405 
43i 
498 
5°6 
543 
574 
582 
27 
261 
287 
288 
39* 
398 
426 
495 
5°i 
535 
568 
577 
28 
256 
281 
283 
385 
39 1 
421 
492 
496 
£26 
562 ■ 
57* 
29 
251 
*75 
278 
378 
384 
415 
489 
491 
5*7 
556 
567 
30 
247 
269 
272 
372 
378 
409 
486 
486 
508 
55° 
563 
31 
243 
264 
266 
366 
37* 
4° 3 
482 
481 
499 
544 
558 
3a 
239 
259 
260 
361 
366 
397 
477 
476 
490 
538 
553 
33 
235 
254 
254 
355 
360 
39 1 
47* 
47i 
482 
53* 
548 
34 
231 
249 
248 
35° 
354 
384 
467 
466 
474 
526 
544 
35 
226 
*43 
242 
344 
348 
377 
462 
460 
467 
520 
539 
36 
221 
237 
236 
338 
34* 
370 
456 
454 
460 
5*4 
533 
37 
216 
230 
230 
333 
336 
363 
450 
447 
453 
508 
5*7 
38 
21 I 
223 
224 
327 
330 
356 
444 
440 
446 
5°3 
520 
39 
205 
216 
218 
322 
3*4 
349 
438 
43 3 
439 
497 
5*3 
40 
199 
209 
2 14 
3i7 
317 
34* 
43* 
426 
43* 
492 
506 
4i 
194 
203 
207 
311 
310 
335 
427 
418 
4*5 
487 
5°o 
42 
189 
197 
201 
306 
303 
328 
4-2 2 
410 
419 
482 
494 
43 
185 
192 
194 
300 
296 
3* 1 
4i7 
401 
4*3 
476 
488 
44 
181 
187 
187 
294 
289 
3*4 
412 
393 
407 
47* 
482 
45 
176 
182 
180 
287 
2S2 
3°7 
407 
386 
400 
466 
476 
46 
171 
177 
174 
281 
*75 
299 
400 
379 
393 
460 
469 
47 
165 
172 
167 
274 
268 
291 
394 
37* 
386 
455 
461 
48 
159 
167 
159 
268 
261 
283 
388 
365 
378 
449 
45* 
49 
153 
162 
153 
261 
254 
2 75 
381 
359 
370 
443 
441 
1 5® 
H7 
1 57 
H 7 
2 55 
447 
267 
374 
353 
362 
436 
43 1 
