Page:Encyclopædia Britannica, first edition - Volume I, A-B.pdf/371

 321 A N N U I TIES. amount of i 1. for a year,' and divide the product by the The value of 1 I. annuity for a Angle life. complement of life ; then fubtraft the quot from i ; divide the remainder by the intereft of 11. for a year; and this A. 3 iper c. ^perc.'fi per c perc:fi per c. 6 per lafl: quot will be the value of the annuity fought, or, in other 1 x .70 10.55 I4-63I 13-79 words, the number of years purchafe the annuity is worth. 11.57 10.45 I4-4-4I9 13-59 Examp. What is the value of an annuity of 11. for 10.35 13.40 12.02 n-43 10.25 an age of 50 years, intereft at 5 per cent. 13.96 13.20 11.29 11.87 I2 86 13.73 11.70 10.10 11.14 -99 yo age giveq. 36 complement of life. 11.54 10.99 10.00 12.78 13-49 By the Tables, the value is, 16.5468 13.25 12.56 11.37 10.84 9.85 Amount of x 1. for a year, 1.05 13.01 11.19 12.36 10.68 827340 12.76 12.14 11.00 10.51 9-75 9.60 165468 12.51 11.92 10.82 10.35 9.45 Complement of lif<j, 36)i7.-374r4o(.4826i5 12.26 11.69 10.64 10.17 9.30 From unity, viz. i.oqopoo 12.00 11.45 Subtract .482615 10.44 9.99 9.20 11.20 10.24 9.82 9.00 Intereft of 11. .05).517385(10.3477, value fought. n-73 11.46 10.04 10.95 9.63 8.85 By the preceding problem is conftru&ed the follow11.18 10.69 9.82 9-44 8.70 ing table. The value of 11. annuity for a Angle .Kfe. 10.90 10.44 9.61 9.24 8.55 10.61 10.18 9.04 8-35 9-39 8.83 sfge. I3 per c. 7,perc. 4 per c. ^perc. 5 per c. 6 per c 10.32 9.91 9.16 8.20 10.03 . 9^4 8.61 8.00 8-93 19.87 18.27 16.88 15 67 14.60 8.69 8.39 7.80 9-73 9.36 19.74 18.16 16.79 15-59 14-53 7 = 12 19.60 18.05 16.64 15.51 14.47 9.42 9.08 8.44 8.16 7.60 17.94 16.60 15-43 14.41 9.11 8.79 8.19 7-93 7.40 6—14 19-47 19-33 17.82 16.50 15-35 M-34 8.79 8.49 7.20 7-94 7.68 6.95 15 19.19 17.71 16.41 15.27 I4-27 8.46 8.19 7.67 7-43 8.13 7.88 7-39 7.18 6.75 16 19.05 17-59 16.31 15.19 14.2O 5 = 17 18.90 17.46 16.21 x 5.10 14.12 7.56 7 7.12 6.91 6.50 18 18.76' 17-33 16.10 15.01 14.05 7.24 6.83 6.64 6.25 18.61 17.21 15.99 14.92 13-97 6.91 ‘7-6.75 6.54 6.36 6.00 14.83 13.89 4 = 2019 18.46 17.09 15.8.9 6.57 6.39 6.23 '6.07 5-75 6.22 6 06 5.92' .5-77 5.50 13.81 21 18.30 16.96 15.78 16.83 15.67 14.64 13.72 22 18.15 I 5.87 5.’20 5-59 5-47 4.9O 23 17.99. 16.69 I4»54 13.64 5.26 5-i5 5-5i 3 = 24 17.83 16.56 I15-55 5-43 4-44 5.14 4.92 4.82 4.60 25 17.66 16.42 15.31 ♦4-34 13.46 4.49 4-30 4-77 4-57 4.38 4.22 4.14 4.00 17.50 16.28 15.19 I4-23 J3-37 x6.x 3 15.04 14.12 13.28 17-33 3.-84 3-78 -3-4* 4-°5 3 -9 17.16 15.98 14.94 14.02 13.18 3-57 3-63 3.16 3-47 3.41 2.95 16.98 15.83 14.S1 I3-9° I3-°9. 3-3° 3.21 3.07 16.80. 15.68- 14.68 13-79 12.99 3-03 2.78 2:74 2.67 2.64 2-55 I 2.26 2.23 2-15 231 13.67 12.88 2 = 31 16.62 12.78 32 16.44 15-37 I4-54 4-4I 13-55 12.67 The above table {hews the value of an annuity of one 15^.21 14.27 13-43 33 16.25 pound for a Angle life, at all the current rates of inu15.05 i14.12 13.30 12.56 feft; and is efteemed the beft table of this kind extant, 35 15.86 14.89 -3-98 13.17 12-45 and preferable to any other of a different conftruftion. I I But yet thofe who fell annuities have generally one and 36 15.67 4-7 13.82 13.04 12.33 a half or two years more value, than fpecified in the 14.52 13.67 12.90 12.21 3738 15.46 table, from purchafers whole age is 20.years or upwards. 15.29 M-34 13.52 12.77 12.09 Annuities of this fort are commonly bought or fcfd 14.16 15.05 13.36 12.63 11.96 i=3940 14.84 8 13.20 12.48 xi .83 at fo many years purchafe; and the value alligned in the I3-9 table may be fo reckoned. Thus the value of ari annuity Vox.. I. No. 14. 3 4M of
 * 3-55
 * 8
 * 34 16.06