Page 267 - Plant design and economics for chemical engineers

TABLE 3
Discount and compounding factors for continuous interest and cash flows? (Continued)
--
r as percent -. -- - 80% 100% -
(d) Decline to zero at a constant rate
over a period of years starting with
the reference point
Pp! 1st 5 years 0.983 0.922 0.852 1 0.791 0.736 0.687 0.643 1 0.568 0.506 0.456 0.377 0.320
1st 10 years 0.968 0.852 0.736 1 0.643 0.568 0.506 , 0.456 , 0.377 0.320 0.278 0.219 0.180
0 1st 15 years 0.952 0.791 0.643 1 0.536 0.456 0.394 i 0.347 0.278 0.231 0.198 0.153 0.124
I st 20 years 0.936 0.736 0.568 1 0.456 0.377 0.320 1 0.278 0.219 0.180 0.153 0.117 0.095
$Tp -(l-e-rnr)/mrl=Fd 1st 25 years 0.922 0.687 0.506 , 0.394 0.320 0.269 I 0.231 0.180 0.147 0.124 0.095 0.077
-_
-- - -
Compounding factors to give future worths for
cash flows which
(e) Occur in an instant at a point in
time before the reference point
F. W. $4 year before 1.005 1.025 1.051 1.078 1.105 1.133 1.162 1.221 1.284 1.350 1.492 1.649
1 year before 1.010 1.051 1.105 1.162 1.221 1.284 1.350 1.492 1.649 1.822 2.226 2.718
I - m - m - - t 155 years before 1.015 1.078 1.162 1.252 1.350 1.455 1.568 1.822 2.117 2.460 3.320 4.482
-” 0 2 years before 1.020 1.105 1.221 1.350 1.492 1.649 1.822 2.226 2.718 3.320 4.953 7.389
l.O(e’n) = C, 3 years before 1.030 1.162 1.350 1.568 1.822 2.117 2.460 3.320 4.482 6.050 1.02320.086
_
-_ -- - -
(f) Occur uniformly before t.he refer-
ence point
F.W. !s year before 1.002 1.013 1.025 1.038 1.052 1.065 1.079 1.107 1.136 1.166 1.230 1.297
1 year before 1.005 1.025 1.052 1.079 1.107 1.136 1.166 1.230 1.297 1.370 1.532 1.718
135 years before 1.008 1.038 1.079 1.121 1.166 1.213 1.263 1.370 i.489 1.622 1.933 2.321
2 years before 1.010 1.052 1.107 1.166 1.230 1.297 1.370 1.532 1.718 1.933 2.471 3.194
3 years before 1.015 1.079 1.166 1.263 1.370 1.489 1.622 1.933 2.321 2.805 4.176 6.362

t r = nominal interest compounded continuously, percent/190; n = number of years; T and nr = number of years in a time period.
See Table 4 for significance and meaning of compounding factors. Extended values of factors for parts (a), (b), and (d) are given
in Tables 5, 6, and 8, and Table 7 gives extended values for part (c) with R = T.
ii