108 TABLE VIII. 
Logarithm of the Present Value of ¿61, due at the end of any number of Years. 
Years. 
7 per cent 
8 per cent. 
9 per cent. 
10 per cent 
51 
2.5014272 
2.2953884 
2.0912486 
3.888973L 
52 
.4720434 
.2619646 
.0538221 
.8475804 
53 
.4426597 
.2285409 
.0163956 
.8061877 
54 
.4132759 
.1951171 
3.9789691 
.7647950 
55 
.3838921 
.1616934 
.9415420 
.7234023 
56 
.3545083 
.1282696 
.9041161 
.6820096 
57 
.3251245 
.0948459 
.8666890 
.6406169 
58 
.2957408 
.0614221 
.8292631 
.5992243 
59 
.2663570 
.0279984 
.7918366 
.5578316 
60 
.2369732 
3.9945746 
.7544101 
.5164389 
61 
.2075894 
.9611509 
.7169836 
.4750462 
62 
.1782057 
.9277271 
.6795571 
.4336535 
63 
.1488219 
.8043033 
.6421306 
.3922608 
64 
.1194381 
.8608790 
.6047041 
.3508681 
65 
.0900543 
.8274558 
.5672776 
.3094755 
66 
.0606705 
.7940321 
.5298511 
.2680828 
67 
.0312868 
.7606083 
.4924246 
.2266901 
68 
.0019030 
.7271846 
.4549981 
.1852974 
69 
3.9725192 
.6937608 
.4175716 
.1439047 
70 
.9431354 
.6603371 
.3801451 
.1025120 
71 
.9137516 
.6209133 
.3427186 
.0611194 
72 
.8843679 
.5934896 
.3052922 
„.0197267 
73 
.8519841 
.5600658 
.2678657 
4.9783340 
74 
.8256003 
,5266421 
.2304392 
.9369413 
75 
.7962165 
.4932183 
.1930127 
.8955486 
76 
.7668327 
.4597946 
.1555862 
.8541559 
77 
.7374490 
.4263708 
.1181597 
.8127632 
78 
.7080652 
.3929470 
.0807332 
.7713706 
79 
.6786814 
.3595232 
.0433067 
,7299779 
80 
.6492976 
.3260995 
.0058802 
.6885852 
81 
.6199138 
.2926757 
4.9684537 
.6471925 
82 
.5905301 
.2592520 
.9310272 
.6057998 
83 
.5611463 
.2258282 
.8936007 
.5644071 
84 
.5317625 
.1924045 
.8561742 
,5230144 
85 
.5023787 
.1589807 
.8187477 
.4816218 
86 
.4729949 
.1255570 
.7813212 
.4402291 
87 
.4436112 
.0921332 
,7438947 
.3988364 
88 
.4142274 
.0587095 
.7064682 
.3574437 
89 
.3848436 
_. 0252857 
.6690417 
.3160510 
90 
.3554598 
4.9918620 
.6316152 
.2746583 
91 
.3260761 
.9583382 
.5941887 
.2332656 
92 
.2966923 
.9249144 
.5567622 
.1918730 
93 
.2673065 
.8914907 
.5193357 
.1504803 
94 
.2379247 
.8580669 
.4819092 
.1090876 
95 
.2085409 
.8246432 
.4444827 
.0676949 
96 
.1791572 
.7912194 
.40705^2 
_.0263022 
97 
.1497734 
.7577957 
.3696297 
5.9849095 
98 
.1203890 
.7243719 
.3322032 
.9435169 
99 
.0910058 
.6909482 
.2947707 
.9021242 
100 
.0610221 
.6575244 
.2573502 
.8607315