Page 265 - Plant design and economics for chemical engineers

TABLE3
P Discount and compounding factors for continuous interest and cash flows?
80%
100%
r as percent 5% 15% _- 20% .- 40% 60% --
Discount factors to give present worths for
cash flows which
(a) Occur in an instant at a point in
time after the reference point
n- 1 D.990 0.951 0.905 0.861 I 0.819 0.779 0.741 / 0.670 0.606 0.549 0.449 0.368
P.W. 2 3.980 0.905 0.819 0.741 I3.670 0.606 0.549 / 0.449 0.368 0.301 0.202 0.135
3 3.970 0.861 0.741 0.638 I3.549 0.472 0.407 / 0.301 0.223 0.165 0.091 0.050
t - - - - - J 4 3.961 0.819 0.670 0.549 I3.449 0.368 0.301 / 0.202 0.135 0.091 0.041 0.018
0 n
5 3.951 0.779 0.606 0.472 I3.368 0.286 0.223 0.135 0.082 0.050 0.018 0.007
10 3.905 0.606 0.368 0.223 I3.135 0.082 0.050 , 0.018 0.007 0.002
15 0.861 0.472 0.223 0.105 I D.050 0.024 0.011 0.002 0.001
20 0.819 0.368 0.135 0.050 I D.018 0.007 0.002
25 ’ 0.779 0.286 0.082 0.024 ID.007 0.002 0.001 .- --
--
(b) Occur uniformly over one-year
periods after the reference point
I
P.W. n = 1. 1st year 0 995 0.975 cl.952 0.929 0.906 0.685 , 0.864 0.824 0.787 0.752 0.688 0.632
t---Iza 2. 2nd year 0.985 0.928 0.861 0.799 I0.742 0.689I 0.640 0.552 0.477 0.413 0.309 0.232
-
0 n-l n 3. 3rd year 0.975 0.883 0.779 0.688 I0.608 0.537 0.474 0.370 0.290 0.226 0.139 0 086
4. 4th year 0.966 0.84C 0.705 0.592 ,0.497 0.418 1 0.351 0.248 0.176 0.124 0.062 0.032
e-r” = Fb 5. 5th year 0.956 0.799 0.638 0.510 / 0.407 0.326 , 0.260 0.166 0.106 0.068 0.028 0.012
- - _ _ -. ._ - -
’ (C, 0’ ccur uniformly over a period of
years-For period of years = T =
5 years
P.*W. n= 5. 1st 5 years 0.975 0.88: 0.787 0.704 1 0.632 0.571 0.518 0.432 0.367 0.317 0.245 0.199
10. 2nd 5 yeare 0.928 0.685 0.477 0.332 0.232 0.164 i 0.116 0.058 0.030 0.016 0.004 0.001
15. 3rd 5 years 0.883 0.53i 0.290 0.157 0.086 0.047 0.026 0.008 0.002 0.001
20. 4th 5 years 0.840 0.415 0.176 0.074 0.032 O.Ol? i 0.006 0.001
25. 5th 5 years 0.799 0.32t 0.106 0.035 1 0.012 0.004 L 0.001