64 ON PROBABILITY,
The following tables will serve to show how nearly different’ tables of
mortality and different tables of annuities agree.
Tables of Mortality.
I €)) (2.) (3.) 4.) ©.) (6.)
Su ev
North- . 1. + ble Ex- Ar. Finlaison’s ,
|Age.| Despar- rn {Cle peri- The or Closter ible 'Age.!
cieux. Dr... Milne ence,
Price. Line. My, a os re
Davies. Male. | Female. Male. Tron
i Living. Living. Living, re Living. { Living. Living. Toonz iF
0: 1000 1000 1000 | 1000 (10000 [10000 | ©
10 830 487 646 , 2844 896 903 | 6184 | 6701 [10
20 814 440 609 2705 | 837 848 | 5765 | 6302 20
30, 734 415 564 | 2501 732 777 | 5127 | 5695 30
40 657 312 507 | 2236 644 700 | 4516 | 5045 40
50] 581 245 439 | 1937 | 561 623 ' 8675 43802 x0
60| 463 174 364 | 1524 440 539 2778 3566 60
70{ 310 105 240 ' 1028 288 412 1740 , 2498 [70
80 118 40 95 | 480 | 125 | 210. 715 617 80
90 11 3 14 55 11 52 205 283 190
Annuities at 3 per cent.
| @) R) | B) 1 (4) 5.) (6.)
Equita- Toe.
North- le Tisle,| ble Ex- - Mr. Finlaison’s oy oto mone,
| Age. Despar- ii Mo ef peri- Tables. [Age. |
cleux, ton, 7: Milne ence, __ a]
Price. DE: Wve. (Fondo d Moe. [pense
Divics, ale. |Female., Male. ale.
0 17-320, 16:042(17-718| 0
10/22-766/20;663 23-512(23765/20-524 22:312(22:237|23:089/10
20121-168/18°638 21-694/21-795/19-223/20 720/20°143 21-140 20
30/19-492/16'922 19-556(19-671!17-082 19-174/18284 19-330 30
40(17-183|14:84817:143|17:351 14-011 16-111 15°654/17-137 40)
50|13-899(12-436/14:393|14-477 10-777/12-560/13:095/ 14-591 50
60/10°522| 9-777(10°491[11-539 7-425 8-638 1005111) 63 60
¥ 70 67341 7-123] 8-285 72991 7-587 70
These numbers are extracted from the following works :—
(1.) The Doctrine of Life Annuities, by Mr. Francis Bailey, vol. ii. p. 532.
(2.) Observations on Reversionary Payments, by Dr. Price, vol. ii. p. 314.
3.) A Treatise on the Valuation of Annuities, by Mr. Milne, vol, ii. Pp. 594.
a Tables of Life Contingencies, by Mr. Griffith Davies. .
(5.) These tables are taken from the Report of the House of Commons on Friendly
Societies, 1897.
(6.) These values are extracted from Table III. Pp. 58.
The Table of Mr, Milne agrees very closely with the mean of the columns
for males and females in Table (1), and, in fact, it would have been suffi-
cient to have supposed the rate of increase 1-007 in the formation of Table
(2) during the last century to render the difference aimost insensible.