Page 47 - An Introduction To Predictive Maintenance

Table 2–3 Future Value of Annuity in Arrears, Value of a Uniform Series of Payments
n
( Ê 1 + i) - ˆ 1
USCA = PÁ ˜
Ë i ¯
Interest
Periods 1% 2% 4% 10% 15% 20%
1 1.000 1.000 1.000 1.000 1.000 1.000
2 2.010 2.020 2.040 2.100 2.150 2.200
3 2.030 3.060 3.122 3.310 3.472 3.640
4 4.060 4.122 4.246 4.641 4.993 5.368
5 5.101 5.204 5.416 6.105 6.742 7.442
6 6.152 6.308 6.633 7.716 8.754 9.930
7 7.214 7.434 7.898 9.487 11.067 12.916
8 8.286 8.583 9.214 11.436 13.727 16.499
9 9.369 9.755 10.583 13.579 16.786 20.799
10 10.462 10.950 12.006 15.937 20.304 25.959
11 11.567 12.169 13.486 18.531 24.349 32.150
12 12.683 13.412 15.026 21.384 29.002 39.580
18 19.615 21.412 25.645 45.599 75.836 128.117
24 26.973 30.422 39.083 88.497 184.168 392.484
36 43.077 51.994 77.598 299.127 * *
48 61.223 79.354 139.263 960.172 * *
60 81.670 114.052 237.991 * * *
* Over 1,000.

Table 2–4 Present Value of Annuity in Arrears, Uniform Series Worth Factor
n
(1 + i) -1
PVA n = S
i +1 i) n
(
Interest
Period 1% 2% 4% 10% 15% 20%
1 .990 .980 .962 .909 .870 .833
2 1.970 1.942 1.886 1.736 1.626 1.528
3 2.941 2.884 2.775 2.487 2.283 2.106
4 3.902 3.808 3.630 3.170 2.855 2.589
5 4.853 4.713 4.452 3.791 3.352 2.991
6 5.795 5.601 5.242 4.355 3.784 3.326
7 6.728 6.472 6.002 4.868 4.160 3.605
8 7.652 7.325 6.733 5.335 4.487 3.837
9 8.566 8.162 7.435 5.759 4.772 4.031
10 9.471 8.983 8.111 6.145 5.019 4.193
11 10.368 9.787 8.760 6.495 5.239 4.327
12 11.255 10.575 9.385 6.814 5.421 4.439
18 16.398 14.992 12.659 8.201 6.128 4.812
24 21.243 18.914 15.247 8.985 6.434 4.937
36 30.118 25.489 18.908 9.677 6.623 4.993
48 37.974 30.673 21.195 9.897 4.999 4.999
60 44.955 34.761 22.623 9.967 6.665 5.000