III. Table showing the AMOUNT OF AN ANNUITY of £1 per Annum, improved at Compound Interest, at 21, 3, 3, 4, 4, 5, and 6 per Cent. at the End of each Year, from 1 to 70.

Years.

1234567890

2 per Cent. 3 per Cent. 3 per Cent. 4 per Cent. 4 per Cent. 5 per Cent. 6 per Cent.

1-00000,000 1·00000,000 1-00000,000 1·00000,000 100000,000 1.00000,000 1.00000,000 2-02500,000 2.03000,000 2.03500,000 1.04000,000 2-04500,000 2-05000,000 2-06000,000 3.07562,500 3:09090,000 3.10622,500 3.12160,000 3.13702,500 3-15250,000 3:18360,000 4.15251,562 4.18362,700 4.21494,287 4.24646,400 4.27819,112 4.31012,500 4:37461,600 5.30913,581 5.36246,588 5.41632,256 5.47070,973 5-52563,125 5.63709,296 6.46840,988 6.55015,218 6-63297,546 6-71689,166 6-80191,281 6.97531,854 7.66246,218 7.77940,751 7-89829,448 8-01915,179 8.14200,845 8.39383,765 8-73611,5908-89233,605 9.05168,677 9.21422,626 9-38001,362 9.54910,888 9-89746,791 9.95451,880 10-15910,613 10-36849,581 10-58279,531 10 80211,423 11-02656,432 11-49131,598 11-20338,117 11-46387,931 11 73139,316 12-00610,712 12-28820,937 12-57789,254 13-18079,494

5.25632,852
6.38773,673

7-54743,015

11 12-48346,631 12-80779,569 13-14199,192 13-48635,141 13-84117,879 14-20678,716 14-97164,264 13-79555,297 14-19202,956 14-60196,164 15:02580,546 15:46403,184 15-91712,652 16.86994,120 15-14044,179 15 61779,045 16-11303,030 16-62683,768 17-15991,327 17.71298,285 18-88213,767 14 16-51895,284 17-08632,416 17-67698,636 18-29191,119 18-93210,937 19-59863,199 21-01506,593 15 17-93192,666 18-59891,389 19-29568,088 20-02358,764 20-78405,429 21-57856,359 23-27596,988 16 19.38022,483 20-15688,130 20-97102,971 21-82453,114 22-71933,673 23.65749,177 25-67252,808 17 20-86473,045 21-76158,774 22-70501,575 23-69751,239 24-74170,689 25-84036,636 28-21287,976 18 22-38634,871 23:41443,577 24-49969,130 25-64541,288 26-85508,370 28-13238,467 30-90565,255 23-94600,743 25 11686,844 26-35718,050 27-67122,940 29.06356,246 30-53900,391 33-75999,170 20 25-54465,761 26-87037,449 28-27968,181 29-77807,858 31-37142,277 33 06595,410 36-78559,120

27.18327,405 28-67648,572 30 26947,068 31.96920,172 33-78313,680 35-71925,181 39-99272,668 22 28-86285,590 30.53678,030 32-32890,215 34-24796,979 36-30337,795 38-50521,440 43 39229,028 30-58442,730 32-45288,370 34-46041,373 36-61788,858 38-93702,996 41-43047,512 46-99582,769 32-34903,798 34-42647,022 36-66652,821 39-08260,413 41-68919,631 44-50199,887 50-81557,735 34 15776,393 36-45926,432 38-94985,669 41-64590,830 44-56521,014 47-72709,882 54.86451,200 36-01170,803 38-55304,225 41-31310,168 44-31174,463 47-57064,460 51 11345,376 59-15638,272 37.91200,073 40-70963,352 43-75906,024 47-08421,441 50-71132,361 54 66912,645 63-70576,568 28 39-85980,075 42-93092,252 46-29062,734 49-96758,299 53-99333,317 58-40258,277 68-52811,162 29 41-85629,577 45-21885,020 48-91079,930 52-96628,631 57-42303,316 62-32271,191 73-63979,832 30 43.90270,316 47-57541,571 51-62267,728 56 08493,776, 61-00706,966 66-43884,750 79-05818,622

46-00027,074 50-00267,818 54-42947,098 59-32833,527 64-75238,779 70-76078,988 84-80167,739 48-15027,751 52-50275,852 57-33450,247 62-70146,868 68-66624,524 75-29882,936 90-88977,803 50 35403,445 55 07784,128 60-34121,005 66-20952,743 72-75622,628 80-06377,033 97-34316,471 52-61288,531 57-73017,652 63 45315,240 69-85790,853 77-03025,646 85-06695,937 104-18375,460 54-92820,744 60-46208,181 66-67401,274 73-65222,487 81-49661,800 90-32030,734 111-43477,987 36 57-30141,263 63-27594,427 70-00760,318 77-59831,387 86-16396,581 95-83632,271 119-12086,666 37 59-73394,794 66-17422,259 73-45786,930 81-70224,642 91-04134,427 101-62813,884 127-26811,866 38 62-22729,664 69 15944,927 77-02889,472 85-97033,628 96-13820,476 107-70954,579 135 90420,578 64.78297,906 72-23423,275 80-72490,604 90-49914,973 101-46442,398 114 09502,308 145 05845,813 40 67-40255,354 75-40125,973 84-55027,775 95-02551,572 107 03032,306 100-79977,423 154-76196,562

41 70-08761,737 78-66329,573 88 50953,747 99-82653,635 112-84668,759 127-83976,294 165 04768,356 72-83980,781 82-02319,645 92-60737,128 104-81959,780 118.92478,854 135-23175,109 175 95054,457 75-66080,300 85-48389,234 96-84862,928 110-01238,171 125-27640,402 142-99333,864 187-50757,724 44 78-55232,308 89-04840,911 101-23833,130 115-41287,698 131-91384,220 151 14300,558 199-75803,188 81-51613,116 92-71986,139 105-78167,290 121 02939,206 138-84996,510 159-70015,586 212-74351,379 46 84-55403,443 96-50145,723 110-48403,145 126-87056,774 146-09821,353 168 68516,365 226-50812,462 47 87-66788,529 100-39650,095 115-35097,255 132-94539,045 153-67263,314 178 11942,183 241 09861,209 90-85958,243 104-40839,598 120-38825,659 139-26320,607 161 58790,163 188-02539,292 256-56452,882 94-13107,199 108 54064,785 125-60184,557 145-83373,431 169-85935,720 198-42666,257 272-95840,055 50 97-48434,879 112-79686,729 130-99791,016 152 66708,368 178.50302,828 209-34799,570 290.33590,458

51 100-92145,751 117-18077,331 136-58283,702 159-77376,703 187-53566,455 220-81539,548 308-75605,886 104-44449,395 121-69619,651 142-36323,631 167-16471,771 196-97476,946 232-85616,52€ 328-28142,239 108-05560,629 126-34708,240 148-34594,958 174-85130,642 206-83863,408 245-49897,352 348 97830,773 54 111-75699,645 131-13749,488 154-53805,782 182-84535,868 217-14637,261 258-77392,220 370 91700,620 115.55092,136 136-07161,972 160-94688,984 191 15917,302 227-91795,938 272-71261,831 394-17202,657 119-43969,440 141-15376,831 167.58003,099 199-80553,994 239-17426,755 287-34824,922 418-82234,816 123-42568,676 146-38838,136 174-44533,207 208-79776,154 250-93710,959 302-71566,168 444-95168,905 127-51132,893 151-78003,280 181-55091,869 218.14967,200 263-22927,953 318-85144,477 472-64879,039 131 69911,215 157-33343,379 188-90520,085 227-87565,888 276-07459,710 335-79401,700 502-00771,782 135-99158,995 163-05343,680 196 51688,288 237 99068,524 289-49795,397 353-58371,785 533-12818,089 140-39137,970 168 94503,991 204-39497,378 248-51031,265 303-52536,190 372-26290,375 566-11587,174 62 144-90116,419 175-01339,110 212-54879,786 259-45072,516 318-18400,319 391-87604,893 601 08282,404 149-52369,330 181-26379,284 220-98800,579 270-82875,416 333-50228,333 412-46985,138 638-14779,349 154-26178,563 187-70170,662 229-72258,599 282 66190,433 349-50988,608 434-09334,395 677-43666,110 159-11833,027 194-33275,782 238-76287,650 294-96838,050 366-23783,096 456-79801,115 719-08286,076 164-09628,853 201-16274,055 248 11957,718 307-76711,572 383-71853,335 480-63791,170 763-22783,241 169-19869,574 208-19762,277 257 80376,238 321-07780,035 401-98586,735 505-66980,729 810-02150,235 68 174-42866,313 215-44355,145 267-82689,406 334-92091,236 421 07523,138 531-95329,765 859-62279,249 179-78937,971 222-90685,800 278-20083,535 349-31774,886 441 02361,679 559-55096,254 912-20016,004 70 185-28411,421 230-59406,374 288-93786,459 364-29045,881 461-86967,955 588-52851,066 967-93216,964

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, 31, 4, 41, 5, and 6 per Cent.

2

T6644456 Years.

2 per Cent. 3 per Cent. 3 per Cent. 4 per Cent. 4 per Cent. 5 per Cent. 6 per Cent.

0 94339,623

1.83339,267

2.67301,195

3-46510,561

4.21236,378

0.97560,976 0-97097,379 0.96618,357 0.96153,846 0.95693,780 0.95238,095 1.92742,415 1.91346,969 1.89969,427 1.88609,467 1-87266,775 1.85941,043 3 2.85602,356 2.82861,135 2.80163,698 2.77509,103 2-74896,435 2-72324,803 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 10 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 9.68285,242 9.39357,299 8.85268,295 9.89864,094 9.29498,392 9.71224,898

10 98318,497 10-63495,532 10-30273,848 9-98564,785 11.69091,217 11-29607,312 10.92052,027 10-56312,293 10-22282,528 12:38137,773 11.93793,507 10-51741,089 11:11838,744 10-73954,573 10-37965,804 16 13.05500,266 12:56110,201 12-09411,681 11-65229,561 | 11-23401,505 10-83776,956 10-10589,526 13-71219,772 13-16611,845 12-65132,058 12-16566,886 11-70719,143 11-27406,625 10-47725,968 18 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 15-58916,228 14-87747,484 14-21240,330 13-59032,635 13-00793,645 12-46221,034 11-46992,121 16-18454,85715-41502,412 14-69797,420 14-02915,995 13-40472,388 12-82115,271 11-76407,661 16-76543,824 15 93691,662 15-16712,483 14-45111,534 13-78442,476 13-16300,258 12:04158,171 23 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 19-96488,865 18-76410,820 17-66701,884 16-66306,322 15-74287,351 14-89812,726 13-40616,428 29 20-45354,991 19-18845,456 18-03576,700 16-98371,464 16-02188,853 15-14107,358 13-59072,101 20-93029,259 19-60044,132 18-39204,541 17-29203,330 16-28888,854 15-37245,103 13-76483,115 31 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 33 22-29188,093 20-76579,175 19-39020,818 18.14764,567 17-02286,207 16-00254,921 14-23022,961 34 22-72378,628 21-13183,665 19-70068,423 18-41119,776 17 24675,796 16-19290,401 14-36814,114 35 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 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 43 26-16644,569 23-98190,211 22-06268,870 20 37079,494 18-87421,029 17-54591,198 15-30617,294 44 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 47 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 49 28-07136,947 25-50165,689 23-27656,449 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 52 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 21.99295,667 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 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 30-68137,290 27-50583,055 24-81779,981 22-52842,957 20-56673,303 18-87575,400 16-13111,336 30-90865,649 27-67556,364 24-94473,412 22-62348,997 20-63802,204 18-92928,953 16.16142,770

61 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 31-55778,377 28-15567,258 25-30035,796 22-88729,124 20-83399,298 19.07508,003 16.24245,829 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 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 19-30981,048 16-36761.650 32-89785,698 29-12342,132 26-00039,664 23-39451,497 21-20211,187 19-34267,665 16 38454,387

V. 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.

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.

751 791 45

23456

15 872 883 32

11 891 899 28
602 661 62
12 886 895 29 742 784 46 594 654 63 399 508 80 125 210 97
13 881 892 30 732 777 47 586 646 64 385 496 81 110 189 98
14 876 887 31 723 770 48 578 638 65 370 484 82 95 168 99
714 763 49 570 631 66 355 471 83 81 149 100
16 866 876 33 705 755 50 561 623 67 339 457 84 68 132

71 270
585 72 253
495 576 73 235
482 568 74 218
468 559 75 202
454 549 76
440
426 529 78
413 509 79

395

88 24 76

377 89 17
358

339

319 92 4

185

298 93

539 77

171

277 91

64

90 11

52

7

41

30

156

255

95

8

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

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

Age. Expect. Age. Expect. Age. Expect. Age. Expect. Age.

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.