IV. Table showing the PRESENT VALUE OF AN ANNUITY of £1 per Annum, to continue for any given Number of Years, from 1 to 70, reckoning Compound Interest, at 21, 3, 3, 4, 44, 5, and 6 per Cent.

Years.

2 per Cent. 3 per Cent. 34 per Cent. 4 per Cent. 44 per Cent. 5 per Cent. | 6

0.96618,357

0-96153,846

0-95693.780 0.95238,095
1-87266,775 1.85941,043
2-74896,435 2-72324,803

per Cent.

0 91339,623 1-83339,267

2-67301,195

3.46510,561

4:21236,378

0.97560,976 0-97087,379
1.92742,415 1.91346,969 1-89969,427 1-88609,467
2-85602,356 2-82861,135 2-80163,698 2-77509,103
3.76197,421 3.71709,840 3:67307,921 3.62989,522 3-58752,570 3-54595,050
4-64582,849 4:57970,719 4.51505,237 4:45182,233 4-38997,674 4:32947,667
5.50812,536 5.41719,144 5.32855,302 5.24213,686 5.15787,248 5:07569,207 4.91732,432
6-34939,060 6-23028,295 6-11454,398 6-00205,467 5.89270,094 5.78637,340 5-58238,144
7.17013,717 7:01969,219 6-87395,553 6-73274,488 6-59588,607 6-46321,276 6-20979,381
7-97086,553 7-78610,892 7.60768,651 7.43533,161 7-26879,049 7-10782,167 6-80169,227
8-75206,393 8.53020,284 8-31660,532 8-11089,578 7.91271,818 7-72173,493 7-36008,705

9-51420,871 9-25262,410 9-00155,103 8-76047,671 8-52891,692 8-30641,422 7-88687,457 10-25776,460 9-95400,398 9-66333,433 9-38507,376 9-11858,078 8-86325,164 8.38384,393 10-98318,497 10-63495,532 10-30273,848 9-98564,785 9-68285,242 9.39357,299 8.85268,295 14 11-69091,217 11-29607,312 10-92052,027 10-56312,293 10-22282,528 9-89864,094 9-29498,392 12:38137,773-93793,507 10-51741,089 11-11838,744 10-73954,573 10:37965,804 9.71221,898

16 13:05500,266 12-56110,201 12-09411,681 11-65229,561 | 11-23401,505 10-83776,956 10-10589,526 17 13-71219,772 13-16611,845 12-65132,058 12-16566,886 | 11-70719,143 11-27406,625 10:47725,968 14-35336,363 13-75351,306 13-18968,172 12-65929,698 12-15999,180 11-68958,690 10-82760,347 14-97889,134 14-32379,909 13-70983,741 13-13393,940 12-59329,359 12.08532,086 11-15811,648 20 15-58916,228 14-87747,484 14-21240,330 13-59032,635 13 00793,645 12-46221,034 11-46992,121 21 16-18454,857 15-41502,412 14-69797,420 14-02915,995 13-40472,388 12-82115,271 11-76407,661 22 16-76543,824 15 93691,662 15-16712,483 14-45111,534 13-78442,476 13:16300,258 12:04158,171 17-33211,048 16-44360,837 15-62041,047 14-85684,167 14-14777,489 13-48857,388 | 12:30337,897 24 17-88498,583 16-93554,210 16-05836,760 15-24696,314 14-49547,837 13-79864,179 | 12:55035,752

25 18-42437,642 17-41314,766 16-48151,459 15-62207,995 14-82820,896 14-09394,457 12-78335,615

26 18-95061,114 17-87684,239 16-89035,226 15-98276,918 15-14661,145 14-27518,530 13:00316,618

27 19-46401,087 18-32703,145 17-28536,450 16-32958,575 15-45130,282 14-64303,362 13-21053,413

28 19-96488,865 18-76410,820 17-66701,884 16-66306,322 15-74287,351 14-89812,726 13-40616,428 20-45354,99119-18845,456 18-03576,700 16-98371,464 16-02188,853 15-14107,358 13:59072,101

30 20-93029,259 19-60044,132 18-39204,541 17-29203,330 16-28888,854 15-37245,103 13 76483,115

21-39540,741 20-00042,847 18-73627,576 17-58849,356 16:54439,095 15-59281,050 13-92908,599

32 21-84917,796 20-38876,550 19-06886,547 17-87355,150 16-78889,086 15-80267,667 14:08404,338 22-29188,093 20-76579,175 19-39020,818 18 14761,567 17-02286,207 16-00254,921 14-23022,961 34 22-72378,628 21-13183,665 19-70068,423 18-41119,776 17-21675,796 16-19290,401 14-36814,114 23-14515,734 21-48722,004 20-00066,109 18-66461,323 17:46101,240 16-37419,429 14-49824,636

36 23-55625,107 21-83225,247 20-29049,381 18-90828,199 17-66604,058 16:54685,171 14-62098,713 23-95731,811 22-16723,541 20-57052,542 19-14257,880 | 17-86223,979 16-71128,734 14-73678,031

38 24-34860,304 22-49246,156 20-84108,736 19-36786,424 18:04999,023 16-86789,271 14-84601,916

39 24-73034,443 22-80821,510 21-10249,987 19-58448,484 18-22965,572 17-01704,067 14-94907,468

40 25-19277,505 23-11477,195 21-35507,234 19-79277,389 18:40158,442 17-15908,636 15 01629,687

25-46612,200 23-41239,995 21-59910,371 19-99305,181 18 56610,949 17-29436,796 15-13801,591 42 25-82060,683 23-70135,917 21-83488,281 20-18562,674 18-72354,976 17-42320,758 | 15-22454,331 26-16644,569 23-98190,211 22:06268,870 20-37079,494 18-67421,029 17-54591,198 15-30617,294 26-50384,945 24-25427,389 22-28279,102 20-54884,129 19:01838,306 17-66277,331 15-38318,202 26 83302,386 24-51871,251 22-49545,026 20 72003,970 19-15634,742 17-77406,982 15-45583,209 27-15416,962 24-77544,904 22-70091,812 20-88465,356 19-28837,074 17-88006,650 15:52436,990 27-46748,255 25-02470,780 22-89943,780 21-04293,612 19-41470,884 17-98101,571 | 15:58902,821 27-77315,371 25-26670,660 23-09124,425 21-19513,088 19-53560,655 18-07715,782 15-65002,661 25-07136,947 25-50165,689 23-27656,419 21-34147,200 19-65129,813 18-16872,173 15-70757,227 28 36231,168 25-72976,397 23-45561,787 21:48218,462 19-76200,778 18-25592,546 15-76186,063

28-64615,774 25-95122,716 23-62861,630 21-61748,521 19-86795,003 18:33897,663 15-81307,607 28-92308,072 26-16623,996 23-79576,454 21-74758,193 19-96933,017 18:41807,298 15-86139,252 29-19324,948 26-37499,025 23-95726,043 21-87267,493 20-06634,466 18.49340,284 15-90697,407 29-45682,877 26-57766,043 24 11329,510 2199295,667 20-15918,149 18 56514,556 15 94997,554 29-71397,928 26-77442,761 24-26405,323 22-10861,218 20-24802,057 18-63347,196 15 99054,296 56 29-96485,784 26-96540,370 24-40971,327 | 22-21981,940 20-33303,404 18-69854,473 16-02881,412 30-20961,740 27-15093,563 24-55044,760 22-32674,943 20-41438,664 18-76051,879 16:06491,898 30-44840,722 27-33100,546 24-68642,281 22-42956,676 20-49223,602 | 18-81954,170 16 09898,017 59 30-68137,290 27-50583,055 24-81779,981 22-52842,957 20:56673,303 18-87575,400 16-13111,336 60 30-90865,649 27-67556,364 24-94473,412 22-62348,997 20-63802,204 18-92928,953 16-16142,770 31-13039,657 27-84035,304 25-06737,596 22-71489,421 20-70624,119 18-98027,574 16-19002,613 31-34672,836 28-00034,276 25 18587,049 22-80278,289 20-77152,267 19-02886,404 16-21700,579 63 31-55778,377 28-15567,258 25-30035,796 22-88729,124 20-83399,298 19:07508,003 16-24245,829 64 31-76369,148 28-30647,823 25-41097,388 22-96854,927 20-89377,319 19-11912,384 16-26647,008 31-96457,706 28-45289,149 25-51784,916 23-04668,199 20-95097,913 19 16107,033 16-28912,272 32-16056,298 28-59504,028 25-62111,030 23-12180,959 21-00572,165 19-20101,936 16-31049,313 32-35176,876 28-73304,881 25-72087,951 23-19404,768 21-05810,685 19-23906,606 16:33065,390

69 32-53831,099 28-86703,768 25-81727,489 23-26350,739 21 10823,622 19-27530,101 16 34967,349 32-72030,341 28-99712,396 25 91041,053 23-33029,556 21-15620,691 19-30951,048 16-36761,650

70 32-89785,698 29-12342,132 26-00039,664 23-39451,497 | 21-20211,187 19-34267,665 16 38454,387

Ve Table of MORTALITY; showing the Number of Persons alive at the End of every Year, from 1 to 100 Years of Age, out of 1,000 born together, in the different Places, and according to the Authorities undermentioned.

Part Population.

France.

Kersseboom.

Life Annuitants.

VI. Table of the PROGRESSIVE Decrement of LIFE among 1,000 Infants of each Sex, born together, according to Mr. Finlaison's Observations on the Mortality of the Nominees in the Government Tontines and Life Annuities in Great Britain.

VII. Table showing the EXPECTATION OF LIFE at every Age, according to the Observations made at

Northampton.

VIII. Table showing the EXPECTATION OF LIFE at every Age, according to the Observations made at

IX. Table giving a COMPARATIVE VIEW of the Results of the undermentioned Tables of Mortality, in Relation to the following Particulars.

Note. In all the Tables above mentioned, it is to be observed that the mortality is deduced from an equal, or nearly equal, number of each sex; with the single exception of Mr. Davies's Table, founded on the experience of the Equitable, in which office, from the practical objects of life insurance, it is evident the male sex must have composed the vast majority of lives subjected to mortality. But as it is agreed on all hands that the duration of life among females exceeds that of males, it follows that the results of Mr. Davies's Table fall materially short of what they would have been, if the facts on which he has reasoned had comprehended an equal number of each sex. The Tables have not, in all cases, been computed at 4 per cent., the rate allowed by government.

X. Table showing the VALUE OF AN ANNUITY ON A SINGLE LIFE, according to the Northampton Table of Mortality.

Age. 3 per Cent. 4 per Cent. 5 per Cent. Age. 3 per Cent. 4 per Cent. 5 per Cent. Age. 3 per Cent. 4 per Cent. 5 per Cent.

XI. Table showing the VALUE OF AN ANNUITY on a Single LiFE, according to the Carlisle Table of Mortality.

13.889 12.480

80

4.365

4-183

4.015

12

23.143

13

15

19.336 16.494 47 22.957 19.210 16.406 48 22.769 19.082 16.316 49 22.582 18.956 16-227 50 16 22.404 18.837

14:303

16.144 51

13.932

17

22-232 18.723

16:066 52

13.558

15.294 13.662 12.301 81 14.986 13:419 12.107 82 14.654 18:153 11-892 11.660 84 3.454 11.410 85 11.154 86 3:033 2.928 11.945 10.892 87 2.873 2.776 11.627 10.624 88 2.776 2.683 20 21.691 18.363 15.817 55 12:408 11.300 10.347 89 2.665 2.577 21 21.501 18.233 15.726 56 12.014 10-966 10.063 90 2.499 2.416 22 21.304 18.095 15.628 57 11-614 10.625 9.771 91 2.481 2-398 23 21.096 17.951 15.525 58 11-218 10.286 9.478 92 24 20.885 17-801 15.417 59 10.841 9.963 9.199 25 20.665 17.615 15.303 60 10:491 9-663 8.940 94 26 20.442 17.486 15.187 61 10.180 9.398 8.712 95 20-212 17.320 15.065 62 9.875 9.137 8-487 96 19.981 17.154 14.942 63 9.567 8.872 8-258 97 19-761 16.997 14.827 64 9.246 8.593 8.016 30 19-556 16.852 14.723 65 8.917 8.307 7.765 31 19.348 16-705 14-617 66 8.578 8:010 7.503 100 32 19-134 16.552 14.506 67 8.228 18.910- 16.390 14-387 68 7.869 18.675 16.219 14.200 69 7.499 35 18.433 16:041 14.127

VOL. II.-K