Appendix B: Compound Interest Factors
B.l COMPOUND INTEREST TABLES (USING MS EXCEL)
Using MS Excel a compound interest table could be established to calculate compound interest factors for different interest rates and time periods. An example is cited next for i = 10% and n = 1 to 50 years.
|
10.00% |
10.00% |
|||||||
|
п |
F/P |
P/F |
A/F |
A/P |
F/A |
P/A |
A/G |
P/G |
|
i |
1.1000 |
0.9091 |
1.0000 |
1.1000 |
1.0000 |
0.9091 |
0.0000 |
0.0000 |
|
2 |
1.2100 |
0.8264 |
0.4762 |
0.5762 |
2.1000 |
1.7355 |
0.4762 |
0.8264 |
|
3 |
1.3310 |
0.7513 |
0.3021 |
0.4021 |
3.3100 |
2.4869 |
0.9366 |
2.3291 |
|
4 |
1.4641 |
0.6830 |
0.2155 |
0.3155 |
4.6410 |
3.1699 |
1.3812 |
4.3781 |
|
5 |
1.6105 |
0.6209 |
0.1638 |
0.2638 |
6.1051 |
3.7908 |
1.8101 |
6.8618 |
|
6 |
1.7716 |
0.5645 |
0.1296 |
0.2296 |
7.7156 |
4.3553 |
2.2236 |
9.6842 |
|
7 |
1.9487 |
0.5132 |
0.1054 |
0.2054 |
9.4872 |
4.8684 |
2.6216 |
12.7631 |
|
8 |
2.1436 |
0.4665 |
0.0874 |
0.1874 |
11.4359 |
5.3349 |
3.0045 |
16.0287 |
|
9 |
2.3579 |
0.4241 |
0.0736 |
0.1736 |
13.5795 |
5.7590 |
3.3724 |
19.4215 |
|
10 |
2.5937 |
0.3855 |
0.0627 |
0.1627 |
15.9374 |
6.1446 |
3.7255 |
22.8913 |
|
11 |
2.8531 |
0.3505 |
0.0540 |
0.1540 |
18.5312 |
6.4951 |
4.0641 |
26.3963 |
|
12 |
3.1384 |
0.3186 |
0.0468 |
0.1468 |
21.3843 |
6.8137 |
4.3884 |
29.9012 |
|
13 |
3.4523 |
0.2897 |
0.0408 |
0.1408 |
24.5227 |
7.1034 |
4.6988 |
33.3772 |
|
14 |
3.7975 |
0.2633 |
0.0357 |
0.1357 |
27.9750 |
7.3667 |
4.9955 |
36.8005 |
|
15 |
4.1772 |
0.2394 |
0.0315 |
0.1315 |
31.7725 |
7.6061 |
5.2789 |
40.1520 |
|
16 |
4.5950 |
0.2176 |
0.0278 |
0.1278 |
35.9497 |
7.8237 |
5.5493 |
43.4164 |
|
17 |
5.0545 |
0.1978 |
0.0247 |
0.1247 |
40.5447 |
8.0216 |
5.8071 |
46.5819 |
|
18 |
5.5599 |
0.1799 |
0.0219 |
0.1219 |
45.5992 |
8.2014 |
6.0526 |
49.6395 |
|
19 |
6.1159 |
0.1635 |
0.0195 |
0.1195 |
51.1591 |
8.3649 |
6.2861 |
52.5827 |
|
20 |
6.7275 |
0.1486 |
0.0175 |
0.1175 |
57.2750 |
8.5136 |
6.5081 |
55.4069 |
|
21 |
7.4002 |
0.1351 |
0.0156 |
0.1156 |
64.0025 |
8.6487 |
6.7189 |
58.1095 |
|
22 |
8.1403 |
0.1228 |
0.0140 |
0.1140 |
71.4027 |
8.7715 |
6.9189 |
60.6893 |
|
23 |
8.9543 |
0.1117 |
0.0126 |
0.1126 |
79.5430 |
8.8832 |
7.1085 |
63.1462 |
|
24 |
9.8497 |
0.1015 |
0.0113 |
0.1113 |
88.4973 |
8.9847 |
7.2881 |
65.4813 |
|
25 |
10.8347 |
0.0923 |
0.0102 |
0.1102 |
98.3471 |
9.0770 |
7.4580 |
67.6964 |
|
26 |
11.9182 |
0.0839 |
0.0092 |
0.1092 |
109.1818 |
9.1609 |
7.6186 |
69.7940 |
|
27 |
13.1100 |
0.0763 |
0.0083 |
0.1083 |
121.0999 |
9.2372 |
7.7704 |
71.7773 |
|
28 |
14.4210 |
0.0693 |
0.0075 |
0.1075 |
134.2099 |
9.3066 |
7.9137 |
73.6495 |
|
29 |
15.8631 |
0.0630 |
0.0067 |
0.1067 |
148.6309 |
9.3696 |
8.0489 |
75.4146 |
|
30 |
17.4494 |
0.0573 |
0.0061 |
0.1061 |
164.4940 |
9.4269 |
8.1762 |
77.0766 |
|
31 |
19.1943 |
0.0521 |
0.0055 |
0.1055 |
181.9434 |
9.4790 |
8.2962 |
78.6395 |
(Continued)
|
10.00% |
10.00% |
|||||||
|
п |
F/P |
P/F |
A/F |
A/P |
F/A |
P/A |
A/G |
P/G |
|
32 |
21.1138 |
0.0474 |
0.0050 |
0.1050 |
201.1378 |
9.5264 |
8.4091 |
80.1078 |
|
33 |
23.2252 |
0.0431 |
0.0045 |
0.1045 |
222.2515 |
9.5694 |
8.5152 |
81.4856 |
|
34 |
25.5477 |
0.0391 |
0.0041 |
0.1041 |
245.4767 |
9.6086 |
8.6149 |
82.7773 |
|
35 |
28.1024 |
0.0356 |
0.0037 |
0.1037 |
271.0244 |
9.6442 |
8.7086 |
83.9872 |
|
40 |
45.2593 |
0.0221 |
0.0023 |
0.1023 |
442.5926 |
9.7791 |
9.0962 |
88.9525 |
|
45 |
72.8905 |
0.0137 |
0.0014 |
0.1014 |
718.9048 |
9.8628 |
9.3740 |
92.4544 |
|
50 |
117.3909 |
0.0085 |
0.0009 |
0.1009 |
1163.9085 |
9.9148 |
9.5704 |
94.8889 |
B.2 STANDARD COMPOUND INTEREST TABLES
|
Vl°/o |
To find F, given P: (1 + /)" |
To find P, given F:
|
To find A, given F: i n+iT-1 |
To find A, given P: /(1 + 1)” (1 + /У-1 |
To find F, given A: (1 + /У-1 1 |
To find P, given A: (1 + /Г-1 /(1 + iT |
|
|
n |
(f/p)'n'2 |
(p/f)V2 |
(a/f)"2 |
U>/p)'n'2 |
(f/a)"2 |
(р/а)У2 |
n |
|
1 |
1.005 |
0.9950 |
1.00000 |
1.00500 |
1.000 |
0.995 |
1 |
|
2 |
1.010 |
0.9901 |
0.49875 |
0.50375 |
2.005 |
1.985 |
2 |
|
3 |
1.015 |
0.9851 |
0.33167 |
0.33667 |
3.015 |
2.970 |
3 |
|
4 |
1.020 |
0.9802 |
0.24183 |
0.25313 |
4.030 |
3.950 |
4 |
|
5 |
1.025 |
0.9754 |
0.19801 |
0.20301 |
5.050 |
4.926 |
5 |
|
6 |
1.030 |
0.9705 |
0.16460 |
0.16960 |
6.076 |
5.896 |
6 |
|
7 |
1.036 |
0.9657 |
0.14073 |
0.14573 |
7.106 |
6.862 |
7 |
|
8 |
1.041 |
0.9609 |
0.12283 |
0.12783 |
8.141 |
7.823 |
8 |
|
9 |
1.046 |
0.9561 |
0.10891 |
0.11391 |
9.182 |
8.779 |
9 |
|
10 |
1.051 |
0.9513 |
0.09777 |
0.10277 |
10.288 |
9.730 |
10 |
|
11 |
1.056 |
0.9466 |
0.08866 |
0.09366 |
11.279 |
10.677 |
11 |
|
12 |
1.062 |
0.9419 |
0.08107 |
0.08607 |
12.336 |
11.619 |
12 |
|
13 |
1.067 |
0.9372 |
0.07464 |
0.07964 |
13.397 |
12.556 |
13 |
|
14 |
1.072 |
0.9326 |
0.06914 |
0.07414 |
14.464 |
13.489 |
14 |
|
15 |
1.078 |
0.9279 |
0.06436 |
0.06936 |
15.537 |
14.417 |
15 |
|
16 |
1.083 |
0.9233 |
0.06019 |
0.06519 |
16.614 |
15.340 |
16 |
|
17 |
1.088 |
0.9187 |
0.05615 |
0.06151 |
17.697 |
16.259 |
17 |
|
18 |
1.094 |
0.9141 |
0.05323 |
0.05823 |
18.786 |
17.173 |
18 |
|
19 |
1.099 |
0.9096 |
0.05030 |
0.05530 |
19.880 |
18.082 |
19 |
|
20 |
1.105 |
0.9051 |
0.04767 |
0.05267 |
20.979 |
18.987 |
20 |
|
21 |
1.110 |
0.9006 |
0.04528 |
0.05028 |
22.084 |
19.888 |
21 |
|
22 |
1.116 |
0.8961 |
0.04311 |
0.04811 |
23.194 |
20.784 |
22 |
|
23 |
1.122 |
0.8916 |
0.04113 |
0.04613 |
24.310 |
21.676 |
23 |
|
24 |
1.127 |
0.8872 |
0.03932 |
0.04432 |
25.432 |
22.563 |
24 |
|
Vj% |
To find F, given P: (1 + /)" |
To find P, given F:
|
To find A, given F: i (1 + /У-1 |
To find A, given P: /(1 + /T (1 + /Г-1 |
To find F, given A: (1 + i)"-1 /’ |
To find P, given A: (1 + /У-1 /(1 + iT |
|
|
n |
(f/p)n2 |
(pit) J/2 |
(a/f)'„'2 |
2 |
(f/a)i/2 |
(p/a)'„'2 |
n |
|
25 |
1.133 |
0.8828 |
0.03767 |
0.04265 |
26.559 |
23.446 |
25 |
|
26 |
1.138 |
0.8784 |
0.03611 |
0.04111 |
27.692 |
24.324 |
26 |
|
27 |
1.144 |
0.8740 |
0.03469 |
0.03969 |
28.830 |
25.198 |
27 |
|
28 |
1.150 |
0.8697 |
0.03336 |
0.03836 |
29.975 |
26.068 |
28 |
|
29 |
1.156 |
0.8653 |
0.03213 |
0.03713 |
31.124 |
26.933 |
29 |
|
30 |
1.161 |
0.8610 |
0.03098 |
0.03598 |
32.280 |
27.794 |
30 |
|
31 |
1.167 |
0.8567 |
0.02990 |
0.03490 |
33.441 |
28.651 |
31 |
|
32 |
1.173 |
0.8525 |
0.02889 |
0.03389 |
34.609 |
29.503 |
32 |
|
33 |
1.179 |
0.8482 |
0.02795 |
0.03295 |
35.782 |
30.352 |
33 |
|
34 |
1.185 |
0.8440 |
0.02706 |
0.03206 |
36.961 |
31.196 |
34 |
|
35 |
1.191 |
0.8398 |
0.02622 |
0.03122 |
38.145 |
32.035 |
35 |
|
40 |
1.221 |
0.8191 |
0.02265 |
0.02765 |
44.159 |
36.172 |
40 |
|
45 |
1.252 |
0.7990 |
0.01987 |
0.02487 |
50.324 |
40.207 |
45 |
|
50 |
1.283 |
0.7793 |
0.01 765 |
0.02265 |
56.645 |
44.143 |
50 |
|
55 |
1.316 |
0.7601 |
0.01548 |
0.02084 |
63.126 |
47.981 |
55 |
|
60 |
1.349 |
0.7414 |
0.01433 |
0.01933 |
69.770 |
51.726 |
60 |
|
65 |
1.383 |
0.7231 |
0.01306 |
0.01806 |
76.582 |
55.377 |
65 |
|
70 |
1.418 |
0.7053 |
0.01197 |
0.01697 |
83.566 |
58.939 |
70 |
|
75 |
1.454 |
0.6879 |
0.01102 |
0.01602 |
90.727 |
62.414 |
75 |
|
80 |
1.490 |
0.6710 |
0.01020 |
0.01520 |
98.068 |
65.802 |
80 |
|
85 |
1.528 |
0.6545 |
0.00947 |
0.01447 |
105.594 |
69.108 |
85 |
|
90 |
1.567 |
0.6383 |
0.00883 |
0.01383 |
113.311 |
72.331 |
90 |
|
95 |
1.606 |
0.6226 |
0.00825 |
0.01325 |
121.222 |
75.476 |
95 |
|
100 |
1.647 |
0.6073 |
0.00773 |
0.01273 |
129.334 |
78.543 |
100 |
|
1% |
To find F, given P: (1 + i)" |
To find P, given F: 1 П+/Т |
To find A, given F: i (1+/Г-1 |
To find A, given P: 1(1 + /')" (1 + /T-1 |
To find F, given A: (1 + /Г-1 /’ |
To find P, given A: (1 + /У-1 i(1 + /T |
|
|
n |
(f/p)!!2 |
(p/O J/2 |
(.a/f)"2 |
(a/p)'n'2 |
(f/a)''2 |
(/P/а)l'2 |
n |
|
1 |
1.010 |
0.9901 |
1.00000 |
1.01000 |
1.000 |
0.990 |
1 |
|
2 |
1.020 |
0.9803 |
0.49751 |
0.50751 |
2.010 |
1.970 |
2 |
|
3 |
1.030 |
0.9706 |
0.33002 |
0.34002 |
3.030 |
2.941 |
3 |
|
4 |
1.041 |
0.9610 |
0.24628 |
0.25628 |
4.060 |
3.902 |
4 |
|
1% |
То find F, given P: (1 + /)" |
To find P, given F:
|
To find A, given F: i (1 + /T-1 |
To find A, given P: /(1 + /)" (1 + /У-1 |
To find F, given A: (1 + /Г-1 1 |
To find P, given A: (1 + /У-1 /(1 + /У |
|
|
п |
2 |
(a/f) i'2 |
(a/p)i'2 |
(f/a)J/2 |
(p!a)]i2 |
n |
|
|
5 |
1.051 |
0.9515 |
0.19604 |
0.20604 |
5.101 |
4.853 |
5 |
|
6 |
1.062 |
0.9420 |
0.16255 |
0.17255 |
6.152 |
5.795 |
6 |
|
7 |
1.072 |
0.9327 |
0.13863 |
0.14863 |
7.214 |
6.728 |
7 |
|
8 |
1.083 |
0.9235 |
0.12069 |
0.13069 |
8.286 |
7.652 |
8 |
|
9 |
1.094 |
0.9143 |
0.10674 |
0.11674 |
9.369 |
8.566 |
9 |
|
10 |
1.105 |
0.9053 |
0.09558 |
0.10558 |
10.462 |
9.471 |
10 |
|
11 |
1.116 |
0.8963 |
0.08645 |
0.09645 |
11.567 |
10.368 |
11 |
|
12 |
1.127 |
0.8874 |
0.07885 |
0.08885 |
12.683 |
11.255 |
12 |
|
13 |
1.138 |
0.8787 |
0.07241 |
0.08241 |
13.809 |
12.134 |
13 |
|
14 |
1.149 |
0.8700 |
0.06690 |
0.07690 |
14.947 |
13.004 |
14 |
|
15 |
1.161 |
0.8613 |
0.06212 |
0.07212 |
16.097 |
13.865 |
15 |
|
16 |
1.173 |
0.8528 |
0.05794 |
0.06794 |
17.258 |
14.718 |
16 |
|
17 |
1.184 |
0.8444 |
0.05426 |
0.06426 |
18.430 |
15.562 |
17 |
|
18 |
1.196 |
0.8360 |
0.05098 |
0.06098 |
19.615 |
16.398 |
18 |
|
19 |
1.208 |
0.8277 |
0.04805 |
0.05805 |
20.811 |
17.226 |
19 |
|
20 |
1.220 |
0.8195 |
0.04542 |
0.05542 |
22.019 |
18.046 |
20 |
|
21 |
1.232 |
0.8114 |
0.04303 |
0.05303 |
23.239 |
18.857 |
21 |
|
22 |
1.245 |
0.8034 |
0.04086 |
0.05086 |
24.472 |
19.660 |
22 |
|
23 |
1.257 |
0.7954 |
0.03889 |
0.04889 |
25.716 |
20.456 |
23 |
|
24 |
1.270 |
0.7876 |
0.03707 |
0.04707 |
26.973 |
21.243 |
24 |
|
25 |
1.282 |
0.7798 |
0.03541 |
0.04541 |
28.243 |
22.023 |
25 |
|
26 |
1.295 |
0.7720 |
0.03387 |
0.04387 |
29.526 |
22.795 |
26 |
|
27 |
1.308 |
0.7644 |
0.03245 |
0.04245 |
30.821 |
23.560 |
27 |
|
28 |
1.321 |
0.7568 |
0.03112 |
0.04112 |
32.129 |
24.316 |
28 |
|
29 |
1.335 |
0.7493 |
0.02990 |
0.03990 |
33.450 |
25.066 |
29 |
|
30 |
1.348 |
0.7419 |
0.02875 |
0.03875 |
34.785 |
25.808 |
30 |
|
31 |
1.361 |
0.7346 |
0.02768 |
0.03768 |
36.133 |
26.542 |
31 |
|
32 |
1.375 |
0.7273 |
0.02667 |
0.03667 |
37.494 |
27.270 |
32 |
|
33 |
1.391 |
0.7201 |
0.02573 |
0.03573 |
38.869 |
27.990 |
33 |
|
34 |
1.403 |
0.7130 |
0.02484 |
0.03484 |
40.258 |
28.703 |
34 |
|
35 |
1.417 |
0.7059 |
0.02400 |
0.03400 |
41.660 |
29.409 |
35 |
|
40 |
1.489 |
0.6717 |
0.02046 |
0.03046 |
48.886 |
32.835 |
40 |
|
45 |
1.565 |
0.6391 |
0.01771 |
0.02771 |
56.481 |
36.095 |
45 |
|
50 |
1.645 |
0.6080 |
0.01551 |
0.02551 |
64.463 |
39.196 |
50 |
|
55 |
1.729 |
0.5785 |
0.01373 |
0.02373 |
72.852 |
42.147 |
55 |
|
60 |
1.817 |
0.5504 |
0.01224 |
0.02224 |
81.670 |
44.955 |
60 |
|
65 |
1.909 |
0.5237 |
0.01100 |
0.02100 |
90.937 |
47.627 |
65 |
|
70 |
2.007 |
0.4983 |
0.00993 |
0.01993 |
100.676 |
50.169 |
70 |
|
1% |
То find F, given P: (1 +i)" |
To find P, given F:
|
To find A, given F: i (1 + /)л-1 |
To find A, given P: i(1 + /)" (1 + i)" -1 |
To find F, given A: (1 + /T-1 /’ |
To find P, given A: (1 + /T-1 /'(1 + /)" |
|
|
п |
(f/p) V |
lp/f) i'2 |
(■a/f)"2 |
(a/p)!'2 |
(f/a)''2 |
(p/^'2 |
n |
|
75 |
2.109 |
0.4741 |
0.00902 |
0.01902 |
110.913 |
52.587 |
75 |
|
80 |
2.217 |
0.4511 |
0.00822 |
0.01822 |
121.672 |
54.888 |
80 |
|
85 |
2.330 |
0.4292 |
0.00752 |
0.01752 |
132.979 |
57.078 |
85 |
|
90 |
2.449 |
0.4084 |
0.00690 |
0.01690 |
144.863 |
59.161 |
90 |
|
95 |
2.574 |
0.3886 |
0.00636 |
0.01636 |
157.354 |
61.143 |
95 |
|
100 |
2.705 |
0.3697 |
0.00587 |
0.01587 |
170.481 |
63.029 |
100 |
|
Vh |
To find F, given P: (1 + i)" |
To find P, given F: 1 П+/Т |
To find A, given F: i (1+/Г-1 |
To find A, given P: /(1 + iT (1 + /Г-1 |
To find F, given A: (1 + /Г-1 /’ |
To find P, given A: (1 + /T-1 i(1 + i)" |
|
|
n |
(f/p)r |
(p/n Г2 |
(a/f) V2 |
(a/p)V2 |
tf/a)”'2 |
(p/a)V2 |
n |
|
1 |
1.015 |
0.9852 |
1.00000 |
1.01500 |
1.000 |
0.985 |
1 |
|
2 |
1.030 |
0.9707 |
0.49629 |
0.51128 |
2.015 |
1.956 |
2 |
|
3 |
1.046 |
0.9563 |
0.32838 |
0.34338 |
3.045 |
2.912 |
3 |
|
4 |
1.061 |
0.9422 |
0.24444 |
0.25944 |
4.091 |
3.854 |
4 |
|
5 |
1.077 |
0.9283 |
0.19409 |
0.20909 |
5.152 |
4.783 |
5 |
|
6 |
1.093 |
0.9145 |
0.16053 |
0.17553 |
6.230 |
5.697 |
6 |
|
7 |
1.110 |
0.9010 |
0.13656 |
0.15156 |
7.323 |
6.598 |
7 |
|
8 |
1.126 |
0.8877 |
0.11858 |
0.13358 |
8.433 |
7.486 |
8 |
|
9 |
1.143 |
0.8746 |
0.10461 |
0.11961 |
9.559 |
8.361 |
9 |
|
10 |
1.161 |
0.8617 |
0.09343 |
0.10843 |
10.703 |
9.222 |
10 |
|
11 |
1.178 |
0.8489 |
0.08429 |
0.09930 |
11.863 |
10.071 |
11 |
|
12 |
1.196 |
0.8364 |
0.07668 |
0.09168 |
13.041 |
10.908 |
12 |
|
13 |
1.214 |
0.8240 |
0.07024 |
0.08524 |
14.237 |
11.732 |
13 |
|
14 |
1.232 |
0.8118 |
0.06472 |
0.07972 |
15.450 |
12.543 |
14 |
|
15 |
1.250 |
0.7999 |
0.05994 |
0.07494 |
16.682 |
13.343 |
15 |
|
16 |
1.269 |
0.7880 |
0.05577 |
0.07077 |
17.932 |
14.131 |
16 |
|
17 |
1.288 |
0.7764 |
0.05208 |
0.06708 |
19.201 |
14.908 |
17 |
|
18 |
1.307 |
0.7649 |
0.04881 |
0.06381 |
20.489 |
15.673 |
18 |
|
19 |
1.327 |
0.7536 |
0.04588 |
0.06086 |
21.797 |
16.426 |
19 |
|
20 |
1.347 |
0.7425 |
0.04325 |
0.05825 |
23.124 |
17.169 |
20 |
|
21 |
1.367 |
0.7315 |
0.04087 |
0.05587 |
24.471 |
17.900 |
21 |
|
22 |
1.388 |
0.7207 |
0.03870 |
0.05370 |
25.838 |
19.621 |
22 |
|
1'Л% |
То find F, given Р: (1 + /)" |
То find Р, given F:
|
To find A, given F: i (1 + /У-1 |
To find A, given P: /(1 + iT d + iT-1 |
To find F, given A: (1 + /У-1 1 |
To find P, given A: (1 + /У-1 i'(1 + i)" |
|
|
п |
(f/pC2 |
(p/f)'n'12 |
(a/f)”'2 |
(a/p)'„V2 |
(f/a)lV2 |
(p/a)l'n |
n |
|
23 |
1.408 |
0.7100 |
0.03673 |
0.05173 |
27.225 |
19.331 |
23 |
|
24 |
1.430 |
0.6995 |
0.03492 |
0.04992 |
28.634 |
20.030 |
24 |
|
25 |
1.451 |
0.6892 |
0.03325 |
0.04826 |
30.063 |
20.720 |
25 |
|
26 |
1.473 |
0.6790 |
0.03173 |
0.04673 |
31.514 |
21.399 |
26 |
|
27 |
1.495 |
0.6690 |
0.03032 |
0.04532 |
32.987 |
22.068 |
27 |
|
28 |
1.517 |
0.6591 |
0.02900 |
0.04400 |
34.481 |
22.727 |
28 |
|
29 |
1.540 |
0.6494 |
0.02778 |
0.04278 |
35.999 |
23.376 |
29 |
|
30 |
1.563 |
0.6396 |
0.02664 |
0.04164 |
37.539 |
24.016 |
30 |
|
31 |
1.587 |
0.6303 |
0.02557 |
0.04057 |
39.102 |
24.646 |
31 |
|
32 |
1.610 |
0.6210 |
0.02458 |
0.03958 |
40.688 |
25.267 |
32 |
|
33 |
1.634 |
0.6118 |
0.02364 |
0.03864 |
42.229 |
25.879 |
33 |
|
34 |
1.659 |
0.6028 |
0.02276 |
0.03776 |
43.933 |
26.482 |
34 |
|
35 |
1.684 |
0.5939 |
0.02193 |
0.03693 |
45.592 |
27.076 |
35 |
|
40 |
1.814 |
0.5513 |
0.01834 |
0.03343 |
54.268 |
29.916 |
40 |
|
45 |
1.954 |
0.5117 |
0.01572 |
0.03072 |
63.614 |
32.552 |
45 |
|
50 |
2.105 |
0.4750 |
0.01357 |
0.02857 |
73.683 |
35.000 |
50 |
|
55 |
2.268 |
0.4409 |
0.01183 |
0.02683 |
84.530 |
37.271 |
55 |
|
60 |
2.443 |
0.4093 |
0.01039 |
0.02539 |
96.215 |
39.380 |
60 |
|
65 |
2.632 |
0.3799 |
0.00919 |
0.02419 |
108.803 |
41.338 |
65 |
|
70 |
2.835 |
0.3527 |
0.00817 |
0.02317 |
122.364 |
43.155 |
70 |
|
75 |
3.055 |
0.3274 |
0.00730 |
0.02230 |
136.973 |
44.842 |
75 |
|
80 |
3.291 |
0.3039 |
0.00655 |
0.02155 |
152.711 |
46.407 |
80 |
|
85 |
3.545 |
0.2821 |
0.00589 |
0.02089 |
169.665 |
47.861 |
85 |
|
90 |
3.819 |
0.2619 |
0.00532 |
0.02032 |
187.930 |
49.210 |
90 |
|
95 |
4.114 |
0.2431 |
0.00482 |
0.01982 |
207.606 |
50.462 |
95 |
|
100 |
4.432 |
0.2256 |
0.00437 |
0.01937 |
228.803 |
51.625 |
100 |
|
2% |
To find F, given P: (1 + /)" |
To find P, given F:
|
To find A, given F: i (1 + /)" — 1 |
To find A, given P: /(1 + iT (1 + /У-1 |
To find F, given A: (1 + /У-1 i |
To find P, given A: (1 + /У-1 /(1 + iT |
|
|
n |
(f/p)2n |
(p/f)l |
(a/f)2„ |
(a/p)2„ |
(f/a)l |
(p/aj2„ |
n |
|
1 |
1.020 |
0.9804 |
1.00000 |
1.02000 |
1.000 |
0.980 |
1 |
|
2 |
1.040 |
0.9612 |
0.49505 |
0.51505 |
2.020 |
1.942 |
2 |
|
3 |
1.061 |
0.9423 |
0.32675 |
0.34675 |
3.060 |
2.884 |
3 |
|
2% |
То find F, given P: (1 + /)" |
To find P, given F:
|
To find A, given F: i (1 + /Г-1 |
To find A, given P: /0 + /)" (1 + /У-1 |
To find F, given A: (1 + /У-1 / |
To find P, given A: (1 + /У-1 /(1 + iT |
|
|
п |
(f/pin |
(p/f)l |
(a/f)i |
(a/p)l |
(f/a)2n |
(p/a)l |
n |
|
4 |
1.082 |
0.9238 |
0.24262 |
0.26262 |
4.122 |
3.808 |
4 |
|
5 |
1.104 |
0.9057 |
0.19216 |
0.21216 |
5.204 |
4.713 |
5 |
|
6 |
1.126 |
0.8880 |
0.15853 |
0.17853 |
6.308 |
5.601 |
6 |
|
7 |
1.149 |
0.8706 |
0.13451 |
0.15451 |
7.434 |
6.472 |
7 |
|
8 |
1.172 |
0.8535 |
0.11651 |
0.13651 |
8.583 |
7.325 |
8 |
|
9 |
1.195 |
0.8368 |
0.10252 |
0.12252 |
9.755 |
8.162 |
9 |
|
10 |
1.219 |
0.8203 |
0.09133 |
0.11133 |
10.950 |
8.983 |
10 |
|
11 |
1.243 |
0.8043 |
0.08216 |
0.10218 |
12.169 |
9.787 |
11 |
|
12 |
1.268 |
0.7885 |
0.07456 |
0.09456 |
13.412 |
10.575 |
12 |
|
13 |
1.294 |
0.7730 |
0.06812 |
0.08812 |
14.680 |
11.348 |
13 |
|
14 |
1.319 |
0.7579 |
0.06260 |
0.08260 |
15.974 |
12.106 |
14 |
|
15 |
1.346 |
0.7430 |
0.05783 |
0.07783 |
17.293 |
12.849 |
15 |
|
16 |
1.373 |
0.7284 |
0.05365 |
0.07365 |
18.639 |
13.578 |
16 |
|
17 |
1.400 |
0.7142 |
0.04997 |
0.06997 |
20.012 |
14.292 |
17 |
|
18 |
1.428 |
0.7002 |
0.04670 |
0.06670 |
21.412 |
14.992 |
18 |
|
19 |
1.457 |
0.6864 |
0.04378 |
0.06378 |
22.841 |
15.678 |
19 |
|
20 |
1.486 |
0.6730 |
0.04116 |
0.06116 |
24.297 |
16.351 |
20 |
|
21 |
1.516 |
0.6598 |
0.03878 |
0.05878 |
25.783 |
17.011 |
21 |
|
22 |
1.546 |
0.6468 |
0.03663 |
0.05663 |
27.299 |
17.658 |
22 |
|
23 |
1.577 |
0.6342 |
0.03467 |
0.05467 |
28.845 |
18.292 |
23 |
|
24 |
1.608 |
0.6217 |
0.03287 |
0.05287 |
30.422 |
18.914 |
24 |
|
25 |
1.641 |
0.6095 |
0.03122 |
0.05122 |
32.030 |
19.523 |
25 |
|
26 |
1.673 |
0.5976 |
0.02970 |
0.04970 |
33.671 |
20.121 |
26 |
|
27 |
1.707 |
0.5859 |
0.02829 |
0.04829 |
35.344 |
20.707 |
27 |
|
28 |
1.741 |
0.5744 |
0.02699 |
0.04699 |
37.051 |
21.281 |
28 |
|
29 |
1.776 |
0.5631 |
0.02578 |
0.04578 |
38.792 |
21.844 |
29 |
|
30 |
1.811 |
0.5521 |
0.02465 |
0.04465 |
40.568 |
22.396 |
30 |
|
31 |
1.848 |
0.5412 |
0.02360 |
0.04360 |
42.379 |
22.938 |
31 |
|
32 |
1.885 |
0.5306 |
0.02261 |
0.04261 |
44.227 |
23.468 |
32 |
|
33 |
1.922 |
0.5202 |
0.02169 |
0.04169 |
46.112 |
23.989 |
33 |
|
34 |
1.961 |
0.5100 |
0.02082 |
0.04082 |
48.034 |
24.499 |
34 |
|
35 |
2.000 |
0.5000 |
0.02000 |
0.04000 |
49.994 |
24.999 |
35 |
|
40 |
2.208 |
0.4529 |
0.01656 |
0.03656 |
60.402 |
27.355 |
40 |
|
45 |
2.438 |
0.4102 |
0.01391 |
0.03391 |
71.893 |
29.490 |
45 |
|
50 |
2.692 |
0.3715 |
0.01182 |
0.03182 |
84.579 |
31.424 |
50 |
|
55 |
2.972 |
0.3365 |
0.01014 |
0.03014 |
98.587 |
33.175 |
55 |
|
2% |
То find F, given P: (1 + /)" |
To find P, given F:
|
To find A, given F: i (1 + /')л-1 |
To find A, given P: /(1 + iT (1 + /У-1 |
To find F, given A: (1 + /У-1 i |
To find P, given A: (1 + /У-1 i(1 + i')" |
|
|
п |
(f/p)2n |
(p/f)n |
(a/f)l |
(a/p)l |
(f/a)l |
(pla)l |
n |
|
60 |
3.281 |
0.3048 |
0.00877 |
0.02877 |
114.052 |
34.761 |
60 |
|
65 |
3.623 |
0.2761 |
0.00763 |
0.02763 |
131.126 |
36.197 |
65 |
|
70 |
4.000 |
0.2500 |
0.00667 |
0.02667 |
149.978 |
37.499 |
70 |
|
75 |
4.416 |
0.2265 |
0.00586 |
0.02586 |
170.792 |
38.677 |
75 |
|
80 |
4.875 |
0.2051 |
0.00516 |
0.02516 |
193.772 |
39.745 |
80 |
|
85 |
5.383 |
0.1858 |
0.00456 |
0.02456 |
219.144 |
40.711 |
85 |
|
90 |
5.943 |
0.1683 |
0.00405 |
0.02405 |
247.157 |
41.587 |
90 |
|
95 |
6.562 |
0.1524 |
0.00360 |
0.02360 |
278.085 |
42.380 |
95 |
|
100 |
7.245 |
0.1380 |
0.00320 |
0.02320 |
312.232 |
43.098 |
100 |
|
2Vj% |
To find F, given P: (1 + i)" |
To find P, given F:
|
To find A, given F: i (1 + /У-1 |
To find A, given P: /'(1 + /T (1 + /У-1 |
To find F, given A: (1 + /У-1 / |
To find P, given A: (1 + i)" -1 /(1 + 1)" |
|
|
n |
(f!p)lV2 |
(ptf)V2 |
(a/f)2,/2 |
(alp)2'12 |
(f/a)™2 |
(p/a)2nV2 |
n |
|
1 |
1.025 |
0.9756 |
1.00000 |
1.02500 |
1.000 |
0.976 |
1 |
|
2 |
1.051 |
0.9518 |
0.49383 |
0.51883 |
2.025 |
1.927 |
2 |
|
3 |
1.077 |
0.9386 |
0.32514 |
0.35014 |
3.076 |
2.856 |
3 |
|
4 |
1.104 |
0.9060 |
0.24082 |
0.26512 |
4.153 |
3.762 |
4 |
|
5 |
1.131 |
0.8839 |
0.19025 |
0.21525 |
5.256 |
4.646 |
5 |
|
6 |
1.160 |
0.8623 |
0.15655 |
0.18155 |
6.388 |
5.508 |
6 |
|
7 |
1.189 |
0.8413 |
0.13250 |
0.15750 |
7.547 |
6.349 |
7 |
|
8 |
1.218 |
0.8207 |
0.11447 |
0.13947 |
8.736 |
7.170 |
8 |
|
9 |
1.249 |
0.8007 |
0.10046 |
0.12546 |
9.955 |
7.971 |
9 |
|
10 |
1.280 |
0.7812 |
0.08926 |
0.11426 |
11.203 |
8.752 |
10 |
|
11 |
1.312 |
0.7621 |
0.08011 |
0.10511 |
12.483 |
9.514 |
11 |
|
12 |
1.345 |
0.7436 |
0.07249 |
0.09749 |
13.796 |
10.258 |
12 |
|
13 |
1.379 |
0.7254 |
0.06605 |
0.09105 |
15.140 |
10.983 |
13 |
|
14 |
1.413 |
0.7077 |
0.06054 |
0.08554 |
16.519 |
11.691 |
14 |
|
15 |
1.448 |
0.6905 |
0.05577 |
0.08077 |
17.932 |
12.381 |
15 |
|
16 |
1.485 |
0.6736 |
0.05160 |
0.07660 |
19.380 |
13.055 |
16 |
|
17 |
1.522 |
0.6572 |
0.04793 |
0.07293 |
20.865 |
13.712 |
17 |
|
2'h"/o |
To find F, given P: (1 + /)" |
To find P, given F:
|
To find A, given F: i (1 + /Г-1 |
To find A, given P: /(1 + iT d + iT-1 |
To find F, given A: (1 + /У-1 i |
To find P, given A: d + iT-1 /(1 + iT |
|
|
п |
tf/p)lu2 |
(p/f)2n'n |
(a/f)™2 |
(a/p)V2 |
(f/a)™1 |
(p/a)™2 |
n |
|
18 |
1.560 |
0.6412 |
0.04407 |
0.06967 |
22.386 |
14.353 |
18 |
|
19 |
1.599 |
0.6255 |
0.04176 |
0.06676 |
23.946 |
14.979 |
19 |
|
20 |
1.639 |
0.6103 |
0.03915 |
0.06415 |
25.545 |
15.589 |
20 |
|
21 |
1.680 |
0.5954 |
0.03679 |
0.06179 |
27.183 |
16.185 |
21 |
|
22 |
1.722 |
0.5809 |
0.03465 |
0.05965 |
28.863 |
16.765 |
22 |
|
23 |
1.765 |
0.5667 |
0.03270 |
0.05770 |
30.584 |
17.332 |
23 |
|
24 |
1.809 |
0.5529 |
0.03091 |
0.05591 |
32.349 |
17.885 |
24 |
|
25 |
1.854 |
0.5394 |
0.02928 |
0.05428 |
34.158 |
18.424 |
25 |
|
26 |
1.900 |
0.5262 |
0.02777 |
0.05277 |
36.012 |
18.951 |
26 |
|
27 |
1.948 |
0.5134 |
0.02638 |
0.05138 |
37.912 |
19.494 |
27 |
|
28 |
1.996 |
0.5009 |
0.02509 |
0.05009 |
39.860 |
19.965 |
28 |
|
29 |
2.046 |
0.4887 |
0.02389 |
0.04689 |
41.856 |
20.454 |
29 |
|
30 |
2.098 |
0.4767 |
0.02278 |
0.04778 |
43.903 |
20.930 |
30 |
|
31 |
2.150 |
0.4651 |
0.02174 |
0.04674 |
46.000 |
21.395 |
31 |
|
32 |
2.204 |
0.4538 |
0.02077 |
0.04577 |
48.150 |
21.849 |
32 |
|
33 |
2.259 |
0.4427 |
0.01986 |
0.04486 |
50.354 |
22.292 |
33 |
|
34 |
2.315 |
0.4319 |
0.01901 |
0.04401 |
52.613 |
22.724 |
34 |
|
35 |
2.373 |
0.4214 |
0.01821 |
0.04321 |
54.928 |
23.145 |
35 |
|
40 |
2.685 |
0.3724 |
0.01464 |
0.03984 |
67.403 |
25.103 |
40 |
|
45 |
3.038 |
0.3292 |
0.01227 |
0.03727 |
81.516 |
26.833 |
45 |
|
50 |
3.437 |
0.2909 |
0.01026 |
0.03526 |
97.484 |
28.362 |
50 |
|
55 |
3.889 |
0.2572 |
0.00865 |
0.03365 |
115.551 |
29.714 |
55 |
|
60 |
4.400 |
0.2273 |
0.00735 |
0.03235 |
135.992 |
30.909 |
60 |
|
65 |
4.978 |
0.2009 |
0.00628 |
0.03128 |
159.118 |
31.965 |
65 |
|
70 |
5.632 |
0.1776 |
0.00540 |
0.03040 |
185.284 |
32.898 |
70 |
|
75 |
6.372 |
0.1569 |
0.00465 |
0.02965 |
214.888 |
33.723 |
75 |
|
80 |
7.210 |
0.1387 |
0.00403 |
0.02903 |
248.383 |
34.452 |
80 |
|
85 |
8.157 |
0.1226 |
0.00349 |
0.02849 |
286.279 |
35.096 |
85 |
|
90 |
9.229 |
0.1084 |
0.00304 |
0.02804 |
329.154 |
35.666 |
90 |
|
95 |
10.442 |
0.0958 |
0.00265 |
0.02765 |
377.664 |
36.169 |
95 |
|
100 |
11.814 |
0.0846 |
0.00231 |
0.02731 |
432.549 |
36.614 |
100 |
|
3% |
То find F, given P: (1 + /)" |
To find P, given F:
|
To find A, given F: i (1 + /T-1 |
To find A, given P: /(1 + /T (1 + /У-1 |
To find F, given A: (1 + i)" -1 /’ |
To find P, given A: (1 + i)"-1 /(1+/У |
|
|
п |
(p/f)l |
(a/ffn |
(a/p)l |
(f/a)J |
(p/a)n |
n |
|
|
1 |
1.030 |
0.9709 |
1.00000 |
1.03000 |
1.000 |
0.971 |
1 |
|
2 |
1.061 |
0.9426 |
0.49261 |
0.52261 |
2.030 |
1.913 |
2 |
|
3 |
1.093 |
0.9151 |
0.32353 |
0.35353 |
3.091 |
2.829 |
3 |
|
4 |
1.126 |
0.8885 |
0.23903 |
0.26903 |
4.184 |
3.717 |
4 |
|
5 |
1.159 |
0.8626 |
0.18835 |
0.21835 |
5.309 |
4.580 |
5 |
|
6 |
1.194 |
0.8375 |
0.15460 |
0.18460 |
6.468 |
5.417 |
6 |
|
7 |
1.230 |
0.8131 |
0.13051 |
0.16051 |
7.662 |
6.230 |
7 |
|
8 |
1.267 |
0.7894 |
0.11246 |
0.14246 |
8.892 |
7.020 |
8 |
|
9 |
1.305 |
0.7664 |
0.09843 |
0.12843 |
10.159 |
7.786 |
9 |
|
10 |
1.344 |
0.7441 |
0.08723 |
0.11723 |
11.464 |
8.530 |
10 |
|
11 |
1.384 |
0.7224 |
0.07808 |
0.10808 |
12.808 |
9.253 |
11 |
|
12 |
1.426 |
0.7014 |
0.07046 |
0.10046 |
14.192 |
9.954 |
12 |
|
13 |
1.469 |
0.6810 |
0.06403 |
0.09403 |
15.618 |
10.635 |
13 |
|
14 |
1.513 |
0.6611 |
0.05853 |
0.08853 |
17.086 |
11.296 |
14 |
|
15 |
1.558 |
0.6419 |
0.05377 |
0.08377 |
18.599 |
11.938 |
15 |
|
16 |
1.605 |
0.6232 |
0.04961 |
0.07961 |
20.157 |
12.561 |
16 |
|
17 |
1.653 |
0.6050 |
0.04595 |
0.07595 |
21.762 |
13.166 |
17 |
|
18 |
1.702 |
0.5874 |
0.04271 |
0.07271 |
23.414 |
13.754 |
18 |
|
19 |
1.754 |
0.5703 |
0.03981 |
0.06981 |
25.117 |
14.324 |
19 |
|
20 |
1.806 |
0.5537 |
0.03722 |
0.06722 |
26.870 |
14.877 |
20 |
|
21 |
1.860 |
0.5375 |
0.03487 |
0.06487 |
28.676 |
15.415 |
21 |
|
22 |
1.916 |
0.5219 |
0.03275 |
0.06275 |
30.537 |
15.937 |
22 |
|
23 |
1.974 |
0.5067 |
0.03081 |
0.06081 |
32.453 |
16.444 |
23 |
|
24 |
2.033 |
0.4919 |
0.02905 |
0.05905 |
34.426 |
16.936 |
24 |
|
25 |
2.094 |
0.4776 |
0.02743 |
0.05743 |
36.459 |
17.413 |
25 |
|
26 |
2.157 |
0.4637 |
0.02594 |
0.05594 |
38.553 |
17.877 |
26 |
|
27 |
2.221 |
0.4502 |
0.02456 |
0.05456 |
40.710 |
18.327 |
27 |
|
28 |
2.288 |
0.4371 |
0.02329 |
0.05329 |
42.931 |
18.764 |
28 |
|
29 |
2.357 |
0.4243 |
0.02211 |
0.05211 |
45.219 |
19.188 |
29 |
|
30 |
2.427 |
0.4120 |
0.02102 |
0.05102 |
47.575 |
19.600 |
30 |
|
31 |
2.500 |
0.4000 |
0.02000 |
0.05000 |
50.003 |
20.000 |
31 |
|
32 |
2.575 |
0.3883 |
0.01905 |
0.04905 |
52.503 |
20.389 |
32 |
|
33 |
2.652 |
0.3770 |
0.01816 |
0.04816 |
55.078 |
20.766 |
33 |
|
34 |
2.732 |
0.3660 |
0.01732 |
0.04732 |
57.730 |
21.132 |
34 |
|
35 |
2.814 |
0.3554 |
0.01654 |
0.04654 |
60.462 |
21.487 |
35 |
|
40 |
3.262 |
0.3066 |
0.01326 |
0.04328 |
75.401 |
23.115 |
40 |
|
45 |
3.782 |
0.2644 |
0.01079 |
0.04079 |
92.720 |
24.519 |
45 |
|
50 |
4.384 |
0.2281 |
0.00887 |
0.03887 |
112.797 |
25.730 |
50 |
|
3% |
То find F, given P: (1 + У)" |
To find P, given F:
|
To find A, given F: i (1 + i)" -1 |
To find A, given P: /(1 + iT (1 + /У-1 |
To find F, given A: (1 + if-1 1 |
To find P, given A: (1 + /Г-1 i(1 +if |
|
|
п |
(f/p)l |
(p/f)l |
(a/f)l |
(a/p)l |
(f/afn |
(p!a)l |
n |
|
55 |
5.082 |
0.1968 |
0.00735 |
0.03735 |
136.072 |
26.774 |
55 |
|
60 |
5.892 |
0.1697 |
0.00613 |
0.03613 |
163.053 |
27.676 |
60 |
|
65 |
6.830 |
0.1464 |
0.00515 |
0.03515 |
194.333 |
28.453 |
65 |
|
70 |
7.918 |
0.1263 |
0.00434 |
0.03434 |
230.594 |
29.123 |
70 |
|
75 |
9.179 |
0.1089 |
0.00367 |
0.03367 |
272.631 |
29.702 |
75 |
|
80 |
10.641 |
0.0940 |
0.00311 |
0.03311 |
321.363 |
30.201 |
80 |
|
85 |
12.336 |
0.0811 |
0.00265 |
0.03265 |
377.857 |
30.631 |
85 |
|
90 |
14.300 |
0.0699 |
0.00226 |
0.03226 |
443.349 |
31.002 |
90 |
|
95 |
16.578 |
0.0603 |
0.00193 |
0.03193 |
519.272 |
31.323 |
95 |
|
100 |
19.219 |
0.0520 |
0.00165 |
0.03165 |
607.288 |
31.599 |
100 |
|
4% |
To find F, given P: (1 + if |
To find P, given F:
|
To find A, given F: i (1 + if-1 |
To find A, given P: i(1 + /f (1 + if-1 |
To find F, given A: (1 + if-1 i |
To find P, given A: (1 + if-1 i(1 + if |
|
|
n |
(f/p)t |
(p/f)*n |
(a/f)4n |
Са/р)*п |
(f/a)4„ |
(p/a)“„ |
n |
|
1 |
1.040 |
0.9615 |
1.00000 |
1.04000 |
1.000 |
0.962 |
1 |
|
2 |
1.082 |
0.1246 |
0.49020 |
0.53020 |
2.040 |
1.886 |
2 |
|
3 |
1.125 |
0.8190 |
0.32035 |
0.36035 |
3.122 |
2.775 |
3 |
|
4 |
1.170 |
0.8548 |
0.23549 |
0.27549 |
4.246 |
3.630 |
4 |
|
5 |
1.217 |
0.8219 |
018463 |
0.22463 |
5.416 |
4.452 |
5 |
|
6 |
1.265 |
0.7903 |
0.15076 |
0.19076 |
6.633 |
5.242 |
6 |
|
7 |
1.316 |
0.7599 |
0.12661 |
0.16661 |
7.898 |
6.002 |
7 |
|
8 |
1.369 |
0.7307 |
0.10853 |
0.14853 |
9.214 |
6.733 |
8 |
|
9 |
1.423 |
0.7026 |
0.09449 |
0.13449 |
10.583 |
7.435 |
9 |
|
10 |
1.480 |
0.6756 |
0.08329 |
0.12329 |
12.006 |
8.111 |
10 |
|
11 |
1.539 |
0.6496 |
0.07416 |
0.11415 |
13.486 |
8.760 |
11 |
|
12 |
1.601 |
0.6246 |
0.06655 |
0.10655 |
15.026 |
9.385 |
12 |
|
13 |
1.665 |
0.6006 |
0.06014 |
0.10014 |
16.627 |
9.986 |
13 |
|
14 |
1.732 |
0.5775 |
0.05467 |
0.09467 |
18.292 |
10.563 |
14 |
|
15 |
1.801 |
0.5553 |
0.04994 |
0.08994 |
20.024 |
11.118 |
15 |
|
16 |
1.873 |
0.5339 |
0.04582 |
0.08582 |
21.825 |
11.652 |
16 |
|
17 |
1.948 |
0.5134 |
0.04220 |
0.08220 |
23.698 |
12.166 |
17 |
|
4% |
То find F, given P: (1 + /)" |
To find P, given F:
|
To find A, given F: i (1 + if-1 |
To find A, given P: 1(1 +if (1 + /У-1 |
To find F, given A: (1 + /f-1 / |
To find P, given A: (1 + if -1 i(1 + if |
|
|
п |
(■f/p)i |
(p/f)i |
(a/f)4 |
Ca/p)4 |
(f/a)4 |
(p/a)4„ |
n |
|
18 |
2.026 |
0.4936 |
0.03899 |
0.07899 |
25.645 |
12.659 |
18 |
|
19 |
2107 |
0.4746 |
0.03614 |
0.07614 |
27.671 |
13.134 |
19 |
|
20 |
2.191 |
0.4564 |
0.03358 |
0.07358 |
29.778 |
13.590 |
20 |
|
21 |
2.279 |
0.4388 |
0.03128 |
0.07128 |
31.969 |
14.029 |
21 |
|
22 |
2.370 |
0.4220 |
0.02920 |
0.06920 |
34.248 |
14.451 |
22 |
|
23 |
2.465 |
0.4057 |
0.02731 |
0.06731 |
36.618 |
14.857 |
23 |
|
24 |
2.563 |
0.3901 |
0.02559 |
0.06559 |
39.083 |
15.247 |
24 |
|
25 |
2.666 |
0.3751 |
0.02401 |
0.06401 |
41.646 |
15.622 |
25 |
|
26 |
2.772 |
0.3607 |
0.02257 |
0.06257 |
44.312 |
15.983 |
26 |
|
27 |
2.883 |
0.3468 |
0.02124 |
0.06124 |
47.084 |
16.330 |
27 |
|
28 |
2.999 |
0.3335 |
0.02001 |
0.08001 |
49.968 |
16.683 |
28 |
|
29 |
3.119 |
0.3207 |
0.01888 |
0.05888 |
52.966 |
16.984 |
29 |
|
30 |
3.243 |
0.3083 |
0.01783 |
0.05783 |
58.085 |
17.292 |
30 |
|
31 |
3.373 |
0.2965 |
0.01686 |
0.05686 |
59.328 |
17.588 |
31 |
|
32 |
3.508 |
0.2851 |
0.01595 |
0.05595 |
62.701 |
17.874 |
32 |
|
33 |
3.648 |
0.2741 |
0.01510 |
0.05510 |
68.210 |
18.148 |
33 |
|
34 |
3.794 |
0.2636 |
0.01431 |
0.05431 |
69.858 |
18.411 |
34 |
|
35 |
3.946 |
0.2534 |
0.01358 |
0.05358 |
73.652 |
18.665 |
35 |
|
40 |
4.801 |
0.2083 |
0.01052 |
0.05052 |
95.026 |
19.793 |
40 |
|
45 |
5.841 |
0.1712 |
0.00826 |
0.04826 |
121.029 |
20.720 |
45 |
|
50 |
7.107 |
0.1407 |
0.00655 |
0.04855 |
152.667 |
21.482 |
50 |
|
55 |
8.646 |
0.1157 |
0.00523 |
0.04523 |
191.159 |
22.109 |
55 |
|
60 |
10.520 |
0.0951 |
0.00420 |
0.04420 |
237.991 |
22.623 |
60 |
|
65 |
12.799 |
0.0781 |
0.00339 |
0.04339 |
294.968 |
23.047 |
65 |
|
70 |
15.572 |
0.0642 |
0.00275 |
0.04275 |
364.290 |
23.395 |
70 |
|
75 |
18.945 |
0.0528 |
0.00223 |
0.04223 |
448.631 |
23.680 |
75 |
|
80 |
23.050 |
0.0434 |
0.00181 |
0.04181 |
551.245 |
23.915 |
80 |
|
85 |
28.044 |
0.0357 |
0.00146 |
0.04140 |
676.090 |
24.109 |
85 |
|
90 |
34.119 |
0.0293 |
0.00121 |
0.04121 |
827.983 |
24.267 |
90 |
|
95 |
41.511 |
0.0241 |
0.00099 |
0.04099 |
1012.785 |
24.398 |
95 |
|
100 |
50.505 |
0.0198 |
0.00081 |
0.04081 |
1237.624 |
24.505 |
100 |
|
5% |
То find F, given P: (1 + /)" |
To find P, given F:
|
To find A, given F: i (1 + /У-1 |
To find A, given P: /0 + /)" (1 + /У-1 |
To find F, given A: (1 + /У-1 i |
To find P, given A: (1 + /Г-1 i(1 + i)° |
|
|
п |
(f/pfi |
(p/ffn |
(a/f)l |
(a/p)l |
(f!a?„ |
(p/a)l |
n |
|
1 |
1.050 |
0.9524 |
1.00000 |
1.05000 |
1.000 |
0.952 |
1 |
|
2 |
1.103 |
0.9070 |
0.48780 |
0.53780 |
2.050 |
1.859 |
2 |
|
3 |
1.158 |
0.8638 |
0.31721 |
0.36721 |
3.153 |
2.723 |
3 |
|
4 |
1.216 |
0.8227 |
0.23201 |
0.28201 |
4.310 |
3.546 |
4 |
|
5 |
1.276 |
0.7835 |
0.18097 |
0.23097 |
5.526 |
4.329 |
5 |
|
6 |
1.340 |
0.7462 |
0.14702 |
0.19702 |
6.802 |
5.076 |
6 |
|
7 |
1.407 |
0.7107 |
0.12282 |
0.17282 |
8.142 |
5.786 |
7 |
|
8 |
1.477 |
0.6768 |
0.10472 |
0.15472 |
9.549 |
6.463 |
8 |
|
9 |
1.551 |
0.6446 |
0.09069 |
0.14069 |
11.027 |
7.108 |
9 |
|
10 |
1.629 |
0.6139 |
0.07950 |
0.12950 |
12.578 |
7.722 |
10 |
|
11 |
1.710 |
0.5847 |
0.07039 |
0.12039 |
14.207 |
8.306 |
11 |
|
12 |
1.796 |
0.5568 |
0.06283 |
0.11283 |
15.917 |
8.863 |
12 |
|
13 |
1.886 |
0.5303 |
0.05646 |
0.10646 |
17.713 |
9.394 |
13 |
|
14 |
1.980 |
0.5051 |
0.05102 |
0.10102 |
19.599 |
9.899 |
14 |
|
15 |
2.079 |
0.4810 |
0.04634 |
0.09634 |
21.579 |
10.380 |
15 |
|
16 |
2.183 |
0.4581 |
0.04227 |
0.09227 |
23.657 |
10.838 |
16 |
|
17 |
2.292 |
0.4363 |
0.03870 |
0.08870 |
25.840 |
11.274 |
17 |
|
18 |
2.407 |
0.4155 |
0.03555 |
0.08555 |
28.132 |
11.690 |
18 |
|
19 |
2.527 |
0.3957 |
0.03275 |
0.08275 |
30.539 |
12.085 |
19 |
|
20 |
2.653 |
0.3769 |
0.03024 |
0.08024 |
33.066 |
12.462 |
20 |
|
21 |
2.786 |
0.3589 |
0.02800 |
0.07800 |
35.719 |
12.821 |
21 |
|
22 |
2.925 |
0.3418 |
0.02597 |
0.07597 |
38.505 |
13.163 |
22 |
|
23 |
3.072 |
0.3256 |
0.02414 |
0.07414 |
41.430 |
13.489 |
23 |
|
24 |
3.225 |
0.3101 |
0.02247 |
0.07247 |
44.502 |
13.799 |
24 |
|
25 |
3.386 |
0.2953 |
0.02095 |
0.07095 |
47.727 |
14.094 |
25 |
|
26 |
3.556 |
0.2812 |
0.01956 |
0.06956 |
51.113 |
14.375 |
26 |
|
27 |
3.733 |
0.2678 |
0.01829 |
0.06829 |
54.669 |
14.643 |
27 |
|
28 |
3.920 |
0.2551 |
0.01712 |
0.06712 |
58.403 |
14.898 |
28 |
|
29 |
4.116 |
0.2429 |
0.01605 |
0.06605 |
62.323 |
15.141 |
29 |
|
30 |
4.322 |
0.2314 |
0.01505 |
0.06505 |
66.439 |
15.372 |
30 |
|
31 |
4.538 |
0.2204 |
0.01413 |
0.06413 |
70.761 |
15.593 |
31 |
|
32 |
4.765 |
0.2099 |
0.01328 |
0.06328 |
75.299 |
15.803 |
32 |
|
33 |
5.003 |
0.1999 |
0.01249 |
0.06249 |
80.064 |
16.003 |
33 |
|
34 |
5.253 |
0.1904 |
0.01176 |
0.06176 |
85.067 |
16.193 |
34 |
|
35 |
5.516 |
0.1813 |
0.01107 |
0.06107 |
90.320 |
16.374 |
35 |
|
40 |
7.040 |
0.1420 |
0.00828 |
0.05828 |
120.800 |
17.159 |
40 |
|
45 |
8.985 |
0.1113 |
0.00626 |
0.05626 |
159.700 |
17.774 |
45 |
|
5% |
То find F, given P: (1 + /)" |
To find P, given F:
|
To find A, given F: i (1 + /T-1 |
To find A, given P: /(1 + iT (1 + /У-1 |
To find F, given A: (1 + i)" -1 / |
To find P, given A: (1 + /)"-1 /•(1+/T |
|
|
п |
(ftp) 5n |
(p/f)n |
(a/ffi |
(a/p)l |
(f/a)n |
(p!a)l |
n |
|
50 |
11.467 |
0.0872 |
0.00478 |
0.05478 |
209.348 |
18.256 |
50 |
|
55 |
14.636 |
0.0683 |
0.00367 |
0.05367 |
272.713 |
18.633 |
55 |
|
60 |
18.679 |
0.0535 |
0.00283 |
0.05283 |
353.584 |
18.929 |
60 |
|
65 |
23.840 |
0.0419 |
0.00219 |
0.05219 |
456.798 |
19.161 |
65 |
|
70 |
30.426 |
0.0329 |
0.00170 |
0.05170 |
588.529 |
19.343 |
70 |
|
75 |
38.833 |
0.0258 |
0.00132 |
0.05132 |
756.654 |
19.485 |
75 |
|
80 |
49.561 |
0.0202 |
0.00103 |
0.05103 |
971.229 |
19.596 |
80 |
|
85 |
63.254 |
0.0158 |
0.00080 |
0.05080 |
1245.087 |
19.684 |
85 |
|
90 |
80.730 |
0.0124 |
0.00063 |
0.05063 |
1594.607 |
19.752 |
90 |
|
95 |
103.035 |
0.0097 |
0.00049 |
0.05049 |
2040.694 |
19.806 |
95 |
|
100 |
131.501 |
0.0076 |
0.00038 |
0.05038 |
2610.025 |
19.848 |
100 |
|
6% |
To find F, given P: (1 + /)” |
To find P, given F:
|
To find A, given F: i (1 + /У-1 |
To find A, given P: 1(1 + /')" (1 + i)" -1 |
To find F, given A: (1 + /У-1 /’ |
To find P, given A: (1 + i)" -1 i(1 + /')" |
|
|
n |
(f/p)n |
(p/ft |
(a/fti |
(alpti |
(f/afn |
(p/a)n |
n |
|
1 |
1.080 |
0.9434 |
1.00000 |
1.06000 |
1.000 |
0.943 |
1 |
|
2 |
1.124 |
0.8900 |
0.48544 |
0.54544 |
2.060 |
1.833 |
2 |
|
3 |
1.191 |
0.8396 |
0.31411 |
0.37411 |
3.184 |
2.673 |
3 |
|
4 |
1.262 |
0.7921 |
0.22859 |
0.28859 |
4.375 |
3.465 |
4 |
|
5 |
1.338 |
0.7473 |
0.17740 |
0.23740 |
5.637 |
4.212 |
5 |
|
6 |
1.419 |
0.7050 |
0.14336 |
0.20336 |
6.975 |
4.917 |
6 |
|
7 |
1.504 |
0.6651 |
0.11914 |
0.17914 |
8.394 |
5.582 |
7 |
|
8 |
1.594 |
0.6274 |
0.10104 |
0.16104 |
9.897 |
6.210 |
8 |
|
9 |
1.689 |
0.5919 |
0.08702 |
0.14702 |
11.491 |
6.802 |
9 |
|
10 |
1.791 |
0.5584 |
0.07587 |
0.13587 |
13.181 |
7.360 |
10 |
|
11 |
1.898 |
0.5268 |
0.08679 |
0.12679 |
14.972 |
7.887 |
11 |
|
12 |
2.012 |
0.4970 |
0.05928 |
0.11928 |
16.870 |
8.384 |
12 |
|
13 |
2.133 |
0.4688 |
0.05296 |
0.11296 |
18.882 |
8.853 |
13 |
|
14 |
2.261 |
0.4423 |
0.04758 |
0.10756 |
21.015 |
9.295 |
14 |
|
15 |
2.397 |
0.4173 |
0.04296 |
0.10296 |
23.276 |
9.712 |
15 |
|
16 |
2.540 |
0.3936 |
0.03895 |
0.09895 |
25.673 |
10.106 |
16 |
|
6% |
То find F, given P: (1 + /)" |
To find P, given F:
|
To find A, given F: i (1 + /T-1 |
To find A, given P: /(1 + /У (1+i)" —1 |
To find F, given A: (1 + /Г-1 1 |
To find P, given A: (1 + i)" -1 /•(1+/T |
|
|
п |
(■f/p)n |
(p/ft |
(я/ft |
(я/pt |
(flat |
(р/я)ь„ |
n |
|
17 |
2.693 |
0.3714 |
0.03544 |
0.09544 |
28.213 |
10.477 |
17 |
|
18 |
2.854 |
0.3503 |
0.03236 |
0.09236 |
30.906 |
10.828 |
18 |
|
19 |
3.026 |
0.3305 |
0.02962 |
0.08962 |
33.760 |
11.158 |
19 |
|
20 |
3.207 |
0.3118 |
0.02718 |
0.08718 |
36.786 |
11.470 |
20 |
|
21 |
3.400 |
0.2942 |
0.02500 |
0.08500 |
39.993 |
11.764 |
21 |
|
22 |
3.604 |
0.2775 |
0.02305 |
0.08305 |
43.392 |
12.042 |
22 |
|
23 |
3.820 |
0.2618 |
0.02128 |
0.08126 |
48.996 |
12.303 |
23 |
|
24 |
4.049 |
0.2470 |
0.01968 |
0.07968 |
50.816 |
12.550 |
24 |
|
25 |
4.292 |
0.2330 |
0.01823 |
0.07823 |
54.865 |
12.783 |
25 |
|
26 |
4.549 |
0.2198 |
0.01690 |
0.07690 |
59.156 |
13.003 |
26 |
|
27 |
4.822 |
0.2074 |
0.01570 |
0.07570 |
63.706 |
13.211 |
27 |
|
28 |
5.112 |
0.1956 |
0.01459 |
0.07459 |
68.528 |
13.406 |
28 |
|
29 |
5.418 |
0.1846 |
0.01358 |
0.07358 |
73.640 |
13.591 |
29 |
|
30 |
5.743 |
0.1741 |
0.01265 |
0.07265 |
79.058 |
13.765 |
30 |
|
31 |
6.088 |
0.1643 |
0.01179 |
0.07179 |
84.802 |
13.929 |
31 |
|
32 |
6.453 |
0.1550 |
0.01100 |
0.07100 |
90.890 |
14.084 |
32 |
|
33 |
6.841 |
0.1462 |
0.01027 |
0.07027 |
97.343 |
14.230 |
33 |
|
34 |
7.251 |
0.1379 |
0.00960 |
0.06960 |
104.184 |
14.368 |
34 |
|
35 |
7.686 |
0.1301 |
0.00897 |
0.06897 |
111.435 |
14.498 |
35 |
|
40 |
10.286 |
0.0972 |
0.00646 |
0.06646 |
154.762 |
15.046 |
40 |
|
45 |
13.765 |
0.0727 |
0.00470 |
0.06470 |
212.744 |
15.456 |
45 |
|
50 |
18.420 |
0.0543 |
0.00344 |
0.06344 |
290.336 |
15.762 |
50 |
|
55 |
24.650 |
0.0406 |
0.00254 |
0.06254 |
394.172 |
15.991 |
55 |
|
60 |
32.988 |
0.0303 |
0.00188 |
0.06188 |
533.128 |
16.161 |
60 |
|
65 |
45.145 |
0.0227 |
0.00139 |
0.06139 |
719.083 |
16.289 |
65 |
|
70 |
59.076 |
0.0169 |
0.00103 |
0.06103 |
967.932 |
16.385 |
70 |
|
75 |
79.057 |
0.0126 |
0.00077 |
0.06077 |
1300.949 |
16.456 |
75 |
|
80 |
105.796 |
0.0095 |
0.00057 |
0.06057 |
1746.600 |
16.509 |
80 |
|
85 |
141.579 |
0.0071 |
0.00043 |
0.06043 |
2342.982 |
16.549 |
85 |
|
90 |
189.465 |
0.0053 |
0.00032 |
0.06032 |
3141.075 |
16.579 |
90 |
|
95 |
253.546 |
0.0039 |
0.00024 |
0.06024 |
4209.104 |
16.601 |
95 |
|
100 |
339.302 |
0.0029 |
0.00018 |
0.06018 |
5638.368 |
16.618 |
100 |
|
7% |
То find F, given P: (1 + i)" |
To find P, given F:
|
To find A, given F: i (1 + /)л-1 |
To find A, given P: i(1 + i)" (1 + /T-1 |
To find F, given A: (1 + i)” -1 / |
To find P, given A: (1 + /У-1 /(1 + iT |
|
|
п |
(f/p?n |
(,p/f)l |
(a/f)l |
(a!p)'„ |
(f/a)' |
(p/a)7„ |
n |
|
1 |
1.070 |
0.9346 |
1.00000 |
1.07000 |
1.000 |
0.935 |
1 |
|
2 |
1.145 |
0.8734 |
0.48309 |
0.55309 |
2.070 |
1.808 |
2 |
|
3 |
1.225 |
0.8163 |
0.31105 |
0.38105 |
3.215 |
2.624 |
3 |
|
4 |
1.311 |
0.7629 |
0.22523 |
0.29523 |
4.440 |
3.387 |
4 |
|
5 |
1.403 |
0.7130 |
0.17389 |
0.24389 |
5.751 |
4.100 |
5 |
|
6 |
1.501 |
0.6663 |
0.13980 |
0.20980 |
7.153 |
4.767 |
6 |
|
7 |
1.606 |
0.6227 |
0.11555 |
0.18555 |
8.654 |
5.389 |
7 |
|
8 |
1.718 |
0.5820 |
0.09747 |
0.16747 |
10.260 |
5.971 |
8 |
|
9 |
1.838 |
0.5439 |
0.08349 |
0.15349 |
11.978 |
6.515 |
9 |
|
10 |
1.967 |
0.5083 |
0.07238 |
0.14238 |
13.816 |
7024 |
10 |
|
11 |
2.105 |
0.4751 |
0.06336 |
0.13336 |
15.784 |
7.499 |
11 |
|
12 |
2.252 |
0.4440 |
0.05590 |
0.12590 |
17.888 |
7943 |
12 |
|
13 |
2.410 |
0.4150 |
0.04965 |
0.11965 |
20.141 |
8.358 |
13 |
|
14 |
2.579 |
0.3878 |
0.04434 |
0.11434 |
22.550 |
8.745 |
14 |
|
15 |
2.759 |
0.3624 |
0.03979 |
0.10979 |
25.129 |
9.108 |
15 |
|
16 |
2.952 |
0.3387 |
0.03586 |
0.10586 |
27.888 |
9.447 |
16 |
|
17 |
3.159 |
0.3166 |
0.03243 |
0.10243 |
30.840 |
9.763 |
17 |
|
18 |
3.380 |
0.2959 |
0.02941 |
0.09941 |
33.999 |
10.059 |
18 |
|
19 |
3.617 |
0.2765 |
0.02675 |
0.09675 |
37.379 |
10.363 |
19 |
|
20 |
3.870 |
0.2584 |
0.02439 |
0.09439 |
40.995 |
10.594 |
20 |
|
21 |
4.141 |
0.2415 |
0.02229 |
0.09229 |
44.865 |
10.836 |
21 |
|
22 |
4.430 |
0.2257 |
0.02041 |
0.09041 |
49.006 |
11.061 |
22 |
|
23 |
4.741 |
0.2109 |
0.01871 |
0.08871 |
53.436 |
11.272 |
23 |
|
24 |
5.072 |
0.1971 |
0.01719 |
0.08719 |
58.177 |
11.469 |
24 |
|
25 |
5.427 |
0.1842 |
0.01581 |
0.08581 |
63.249 |
11.654 |
25 |
|
26 |
5.807 |
0.1722 |
0.01456 |
0.08456 |
68.676 |
11.826 |
26 |
|
27 |
6.214 |
0.1609 |
0.01343 |
0.08343 |
74.484 |
11.987 |
27 |
|
28 |
6.649 |
0.1504 |
0.01239 |
0.08239 |
80.698 |
12.137 |
28 |
|
29 |
7.114 |
0.1406 |
0.01145 |
0.08145 |
87.347 |
12.278 |
29 |
|
30 |
7.612 |
0.1314 |
0.01059 |
0.08059 |
94.461 |
12.409 |
30 |
|
31 |
8.145 |
0.1228 |
0.00980 |
0.07980 |
102.073 |
12.532 |
31 |
|
32 |
8.715 |
0.1147 |
0.00907 |
0.07907 |
110.218 |
12.647 |
32 |
|
33 |
9.325 |
0.1072 |
0.00841 |
0.07841 |
118.923 |
12.754 |
33 |
|
34 |
9.978 |
0.1002 |
0.00780 |
0.07780 |
128.259 |
12.854 |
34 |
|
35 |
10.677 |
0.0937 |
0.00723 |
0.07723 |
138.237 |
12.948 |
35 |
|
40 |
14.974 |
0.0668 |
0.00501 |
0.07501 |
199.635 |
13.332 |
40 |
|
45 |
21.002 |
0.0476 |
0.00350 |
0.07350 |
285.749 |
13.606 |
45 |
|
50 |
29.457 |
0.0339 |
0.00246 |
0.07246 |
406.529 |
13.801 |
50 |
|
7% |
То find F, given P: (1 + /)" |
To find P, given F:
|
To find A, given F: i (1 + /У-1 |
To find A, given P: /(1 + /T (1 + i)“ -1 |
To find F, given A: (1 + /Г-1 i |
To find P, given A: d + iT-1 /(1 + /У |
|
|
п |
(flpt |
(p/ft |
(a/f)l |
(alpt |
(flat |
(pla)'„ |
n |
|
55 |
41.315 |
0.0242 |
0.00174 |
0.07174 |
575.929 |
13.940 |
55 |
|
60 |
57.946 |
0.0173 |
0.00123 |
0.07123 |
813.520 |
14.039 |
60 |
|
65 |
81.273 |
0.0123 |
0.00087 |
0.07087 |
1146.755 |
14.110 |
65 |
|
70 |
113.989 |
0.0088 |
0.00062 |
0.07062 |
1614.134 |
14.160 |
70 |
|
75 |
159.876 |
0.0063 |
0.00044 |
0.07044 |
2269.657 |
14.196 |
75 |
|
80 |
224.234 |
0.0045 |
0.00031 |
0.07031 |
3189.063 |
14.222 |
80 |
|
85 |
314.500 |
0.0032 |
0.00022 |
0.07022 |
4478.576 |
14.240 |
85 |
|
90 |
441.103 |
0.0023 |
0.00016 |
0.07016 |
6287.185 |
14.253 |
90 |
|
95 |
618.670 |
0.0016 |
0.00011 |
0.07011 |
8823.854 |
14.263 |
95 |
|
100 |
867.716 |
0.0012 |
0.00008 |
0.07008 |
12381.662 |
14.269 |
100 |
|
8% |
To find F, given P: (1 + i)" |
To find P, given F:
|
To find A, given F: i (1 + i)" -1 |
To find A, given P: /'(1 + iT (1 + i)" -1 |
To find F, given A: (1 + /Г-1 i |
To find P, given A: (1 + i)" -1 /(1 + /У |
|
|
n |
Cf/pt |
(p/ft |
(alff„ |
(alpt |
(flat |
(plat |
n |
|
1 |
1.080 |
0.9259 |
1.00000 |
1.08000 |
1.000 |
0.926 |
1 |
|
2 |
1.166 |
0.8573 |
0.48077 |
0.58077 |
2.080 |
1.783 |
2 |
|
3 |
1.260 |
0.7938 |
0.30803 |
0.38803 |
3.246 |
2.577 |
3 |
|
4 |
1.360 |
0.7350 |
0.22192 |
0.30192 |
4.506 |
3.312 |
4 |
|
5 |
1.469 |
0.6806 |
0.17046 |
0.25048 |
5.867 |
3.933 |
5 |
|
6 |
1.587 |
0.6302 |
0.13832 |
0.21832 |
7.336 |
4.623 |
6 |
|
7 |
1.714 |
0.5835 |
0.11207 |
0.19207 |
8.823 |
5.206 |
7 |
|
8 |
1.851 |
0.5403 |
0.09401 |
0.17401 |
10.837 |
5.747 |
8 |
|
9 |
1.999 |
0.5002 |
0.08008 |
0.16008 |
12.488 |
6.247 |
9 |
|
10 |
2.159 |
0.4632 |
0.06903 |
0.14903 |
14.487 |
6.710 |
10 |
|
11 |
2.332 |
0.4289 |
0.06008 |
0.14008 |
16.645 |
7.139 |
11 |
|
12 |
2.518 |
0.3971 |
0.05270 |
0.13270 |
18.877 |
7.536 |
12 |
|
13 |
2.720 |
0.3677 |
0.04652 |
0.12652 |
21.495 |
7.904 |
13 |
|
14 |
2.937 |
0.3405 |
0.04130 |
0.12130 |
24.215 |
8.244 |
14 |
|
15 |
3.172 |
0.3152 |
0.03883 |
0.11683 |
27.152 |
8.559 |
15 |
|
16 |
3.426 |
0.2919 |
0.03298 |
0.11298 |
30.324 |
8.851 |
16 |
|
17 |
3.700 |
0.2703 |
0.02983 |
0.10963 |
33.750 |
9.122 |
17 |
|
18 |
3.996 |
0.2502 |
0.02670 |
0.10670 |
37.450 |
9.372 |
18 |
|
8% |
То find F, given P: (1 + /)" |
To find P, given F:
|
To find A, given F: i (1 + /Г-1 |
To find A, given P: /(1 + iT (1 + /У-1 |
To find F, given A: (1 + i)"-1 / |
To find P, given A: (1 + /)"-1 /(1 + /Г |
|
|
п |
(f/pfr, |
(p/ffr, |
(a//)® |
(a/p>®„ |
(/7a)® |
(p/a)® |
n |
|
19 |
4.316 |
0.2317 |
0.02413 |
0.10413 |
41.446 |
9.604 |
19 |
|
20 |
4.661 |
0.2145 |
0.02185 |
0.10185 |
45.762 |
9.818 |
20 |
|
21 |
5.034 |
0.1987 |
0.01983 |
0.09983 |
50.423 |
10.017 |
21 |
|
22 |
5.437 |
0.1839 |
0.01803 |
0.09803 |
55.457 |
10.201 |
22 |
|
23 |
5.781 |
0.1703 |
0.01642 |
0.09842 |
60.893 |
10.371 |
23 |
|
24 |
6.341 |
0.1577 |
0.01498 |
0.09498 |
66.765 |
10.529 |
24 |
|
25 |
6.848 |
0.1460 |
0.01368 |
0.09368 |
73.106 |
10.675 |
25 |
|
26 |
7.396 |
0.1352 |
0.01251 |
0.09251 |
79.954 |
10.810 |
26 |
|
27 |
7.988 |
0.1252 |
0.01145 |
0.09145 |
87.351 |
10.935 |
27 |
|
28 |
8.627 |
0.1159 |
0.01048 |
0.09049 |
95.339 |
11.051 |
28 |
|
29 |
8.317 |
0.1073 |
0.00962 |
0.08962 |
103.966 |
11.158 |
29 |
|
30 |
10.063 |
0.0994 |
0.00883 |
0.08883 |
113.283 |
11.258 |
30 |
|
31 |
10.868 |
0.0920 |
0.00811 |
0.08811 |
123.348 |
11.350 |
31 |
|
32 |
11.737 |
0.0852 |
0.00745 |
0.08745 |
134.214 |
11.435 |
32 |
|
33 |
12.676 |
0.0789 |
0.00685 |
0.08685 |
145.951 |
11.514 |
33 |
|
34 |
13.690 |
0.0730 |
0.00630 |
0.08630 |
158.627 |
11.587 |
34 |
|
35 |
14.785 |
0.0676 |
0.00580 |
0.08580 |
172.317 |
11.655 |
35 |
|
40 |
21.725 |
0.0460 |
0.00386 |
0.08386 |
259.057 |
11.925 |
40 |
|
45 |
31.920 |
0.0313 |
0.00258 |
0.08259 |
386.506 |
12.108 |
45 |
|
50 |
46.902 |
0.0213 |
0.00174 |
0.08174 |
573.770 |
12.233 |
50 |
|
55 |
68.914 |
0.0145 |
0.00118 |
0.08118 |
848.923 |
12.319 |
55 |
|
60 |
101.257 |
0.0099 |
0.00080 |
0.08080 |
1253.213 |
12.377 |
60 |
|
65 |
148.780 |
0.0067 |
0.00054 |
0.08054 |
1847.248 |
12.416 |
65 |
|
70 |
218.606 |
0.0046 |
0.00037 |
0.08037 |
2720.080 |
12.443 |
70 |
|
75 |
321.205 |
0.0031 |
0.00025 |
0.08025 |
4002.557 |
12.461 |
75 |
|
80 |
471.955 |
0.0021 |
0.00017 |
0.08017 |
5886.935 |
12.474 |
80 |
|
85 |
693.456 |
0.0014 |
0.00012 |
0.08012 |
8655.706 |
12.482 |
85 |
|
90 |
1018.915 |
0.0010 |
0.00008 |
0.08008 |
12723.939 |
12.488 |
90 |
|
95 |
1497.121 |
0.0007 |
0.00005 |
0.08005 |
18701.507 |
12.492 |
95 |
|
100 |
2199.761 |
0.0005 |
0.00004 |
0.08004 |
27484.516 |
12.494 |
100 |
|
9% |
То find F, given P: (1 + /)" |
To find P, given F:
|
To find A, given F: i (1 + /T-1 |
To find A, given P: 1(1 + /')" (1 + /У-1 |
To find F, given A: (1 + /У-1 i |
To find P, given A: (1 + /У -1 /'(1 + /T |
|
|
п |
tf/p)l |
(p/f)l |
ia/f)l |
(a!p)l |
(p/a)l |
n |
|
|
1 |
1.090 |
0.9174 |
1.00000 |
1.09000 |
1.000 |
0.917 |
1 |
|
2 |
1.188 |
0.8417 |
0.47847 |
0.56847 |
2.090 |
1.759 |
2 |
|
3 |
1.295 |
0.7722 |
0.30505 |
0.39505 |
3.278 |
2.531 |
3 |
|
4 |
1.412 |
0.7084 |
0.21867 |
0.30867 |
4.573 |
3.240 |
4 |
|
5 |
1.539 |
0.6499 |
0.16709 |
0.25709 |
5.985 |
3.890 |
5 |
|
6 |
1.677 |
0.5963 |
0.13292 |
0.22292 |
7.523 |
4.486 |
6 |
|
7 |
1.828 |
0.5470 |
0.10869 |
0.19869 |
9.200 |
5.033 |
7 |
|
8 |
1.993 |
0.5019 |
0.09067 |
0.18067 |
11.028 |
5.535 |
8 |
|
9 |
2.172 |
0.4604 |
0.07680 |
0.16680 |
13.021 |
5.995 |
9 |
|
10 |
2.367 |
0.4224 |
0.06582 |
0.15582 |
15.193 |
6.418 |
10 |
|
11 |
2.580 |
0.3875 |
0.05695 |
0.14695 |
17.560 |
6.805 |
11 |
|
12 |
2.813 |
0.3555 |
0.04965 |
0.13965 |
20.141 |
7.161 |
12 |
|
13 |
3.066 |
0.3262 |
0.04357 |
0.13357 |
22.953 |
7.487 |
13 |
|
14 |
3.342 |
0.2992 |
0.03843 |
0.12843 |
26.019 |
7.786 |
14 |
|
15 |
3.642 |
0.2745 |
0.03406 |
0.12406 |
29.361 |
8.061 |
15 |
|
16 |
3.970 |
0.2519 |
0.03030 |
0.12030 |
33.003 |
8.313 |
16 |
|
17 |
4.328 |
0.2311 |
0.02705 |
0.11705 |
36.974 |
8.544 |
17 |
|
18 |
4.717 |
0.2120 |
0.02421 |
0.11421 |
41.301 |
8.756 |
18 |
|
19 |
5.142 |
0.1945 |
0.02173 |
0.11173 |
46.018 |
8.950 |
19 |
|
20 |
5.604 |
0.1784 |
0.01955 |
0.10955 |
51.160 |
9.129 |
20 |
|
21 |
6.109 |
0.1637 |
0.01762 |
0.10762 |
56.765 |
9.292 |
21 |
|
22 |
6.659 |
0.1502 |
0.01590 |
0.10590 |
62.873 |
9.442 |
22 |
|
23 |
7.258 |
0.1378 |
0.01438 |
0.10438 |
69.532 |
9.580 |
23 |
|
24 |
7.911 |
0.1264 |
0.01302 |
0.10302 |
76.790 |
9.707 |
24 |
|
25 |
8.623 |
0.1160 |
0.01180 |
0.10181 |
84.701 |
9.823 |
25 |
|
26 |
9.399 |
0.1064 |
0.01072 |
0.10072 |
93.324 |
9.929 |
26 |
|
27 |
10.245 |
0.0976 |
0.00973 |
0.09973 |
102.723 |
10.027 |
27 |
|
28 |
11.167 |
0.0895 |
0.00885 |
0.09885 |
112.968 |
10.116 |
28 |
|
29 |
12.172 |
0.0822 |
0.00806 |
0.09806 |
124.135 |
10.198 |
29 |
|
30 |
13.268 |
0.0754 |
0.00734 |
0.09734 |
136.308 |
10.274 |
30 |
|
31 |
14.462 |
0.0691 |
0.00669 |
0.09669 |
149.575 |
10.343 |
31 |
|
32 |
15.763 |
0.0634 |
0.00610 |
0.09610 |
164.037 |
10.406 |
32 |
|
33 |
17.182 |
0.0582 |
0.00556 |
0.09556 |
179.800 |
10.464 |
33 |
|
34 |
18.728 |
0.0534 |
0.00508 |
0.09508 |
196.982 |
10.518 |
34 |
|
35 |
20.414 |
0.0490 |
0.00464 |
0.09464 |
215.711 |
10.567 |
35 |
|
40 |
31.409 |
0.0318 |
0.00296 |
0.09296 |
337.882 |
10.757 |
40 |
|
45 |
48.327 |
0.0207 |
0.00190 |
0.09190 |
525.859 |
10.881 |
45 |
|
9% |
То find F, given P: (1 + i)" |
To find P, given F:
|
To find A, given F: i (1 + /)л-1 |
To find A, given P: /(1 + /У (1+i)" -1 |
To find F, given A: (l + iT-1 / |
To find P, given A: (1 + /У-1 1(1 + /)" |
|
|
п |
(f/pfi |
(p/f)n |
(a/f)l |
(a/p)l |
(flat |
(p/a)l |
n |
|
50 |
74.358 |
0.0134 |
0.00123 |
0.09123 |
815.084 |
10.962 |
50 |
|
55 |
114.408 |
0.0087 |
0.00079 |
0.09079 |
1260.092 |
11.014 |
55 |
|
60 |
176.031 |
0.0057 |
0.00051 |
0.09051 |
1944.792 |
11.048 |
60 |
|
65 |
270.864 |
0.0037 |
0.00033 |
0.09033 |
2998.288 |
11.070 |
65 |
|
70 |
416.730 |
0.0024 |
0.00022 |
0.09022 |
4619.223 |
11.084 |
70 |
|
75 |
641.191 |
0.0016 |
0.00014 |
0.09014 |
7113.232 |
11.094 |
75 |
|
80 |
986.552 |
0.0010 |
0.00009 |
0.09009 |
10950.556 |
11.100 |
80 |
|
85 |
1517.948 |
0.0007 |
0.00006 |
0.09006 |
16854.444 |
11.104 |
85 |
|
90 |
2335.501 |
0.0004 |
0.00004 |
0.09004 |
25939.000 |
11.106 |
90 |
|
95 |
3593.513 |
0.0003 |
0.00003 |
0.09003 |
39917.378 |
11.108 |
95 |
|
100 |
5529.089 |
0.0002 |
0.00002 |
0.09002 |
61422.544 |
11.109 |
100 |
|
10% |
To find F, given P: (1 + /)” |
To find P, given F:
|
To find A, given F: i (1 + /)” -1 |
To find A, given P: /(1 + i)" (1 + /У-1 |
To find F, given A: (1 + /У-1 / |
To find P, given A: (1 + /У-1 /•(1 + /У |
|
|
n |
(f/pf: |
(p/f)'n° |
(a/f)'" |
(a/p)'° |
(f/a)'" |
(p/a)'„° |
n |
|
1 |
1.100 |
0.9091 |
1.00000 |
1.10000 |
1.000 |
0.909 |
1 |
|
2 |
1.210 |
0.8264 |
0.47619 |
0.57619 |
2.100 |
1.736 |
2 |
|
3 |
1.331 |
0.7513 |
0.30211 |
0.40211 |
3.310 |
2.487 |
3 |
|
4 |
1.464 |
0.6830 |
0.21547 |
0.31547 |
4.641 |
3.170 |
4 |
|
5 |
1.611 |
0.6209 |
0.16380 |
0.26380 |
6.105 |
3.791 |
5 |
|
6 |
1.772 |
0.5645 |
0.12961 |
0.22961 |
7.716 |
4.355 |
6 |
|
7 |
1.949 |
0.5132 |
0.10541 |
0.20541 |
9.487 |
4.868 |
7 |
|
8 |
2.144 |
0.4665 |
0.08744 |
0.18744 |
11.436 |
5.335 |
8 |
|
9 |
2.358 |
0.4241 |
0.07364 |
0.17364 |
13.579 |
5.759 |
9 |
|
10 |
2.594 |
0.3855 |
0.06275 |
0.16275 |
15.937 |
6.144 |
10 |
|
11 |
2.853 |
0.3505 |
0.05396 |
0.15396 |
18.531 |
6.495 |
11 |
|
12 |
3.138 |
0.3186 |
0.04676 |
0.14676 |
21.384 |
6.814 |
12 |
|
13 |
3.452 |
0.2897 |
0.04078 |
0.14078 |
24.523 |
7.103 |
13 |
|
14 |
3.797 |
0.2633 |
0.03575 |
0.13575 |
27.975 |
7.367 |
14 |
|
15 |
4.177 |
0.2394 |
0.03147 |
0.13147 |
31.772 |
7.606 |
15 |
|
16 |
4.595 |
0.2176 |
0.02782 |
0.12782 |
35.950 |
7.824 |
16 |
|
17 |
5.054 |
0.1978 |
0.02466 |
0.12466 |
40.545 |
8.022 |
17 |
|
10% |
То find F, given P: (1 + /)" |
To find P, given F:
|
To find A, given F: i (1 + /У-1 |
To find A, given P: /(1 + iT (1 + /У-1 |
To find F, given A: (1 + /У-1 i |
To find P, given A: (1 + /)"-1 /(1 + /)" |
|
|
п |
(f/p)n |
<р/о:° |
(a/fC |
(a/p)'n° |
(:f/a)n° |
(p/a)l° |
n |
|
18 |
5.560 |
0.1799 |
0.02193 |
0.12193 |
45.599 |
8.201 |
18 |
|
19 |
6.116 |
0.1635 |
0.01955 |
0.11955 |
51.159 |
8.363 |
19 |
|
20 |
6.727 |
0.1486 |
0.01746 |
0.11746 |
57.275 |
8.514 |
20 |
|
21 |
7.400 |
0.1351 |
0.01562 |
0.11562 |
64.002 |
8.649 |
21 |
|
22 |
8.140 |
0.1228 |
0.01401 |
0.11401 |
71.403 |
8.772 |
22 |
|
23 |
8.954 |
0.1117 |
0.01257 |
0.11257 |
79.543 |
8.883 |
23 |
|
24 |
9.850 |
0.1015 |
0.01130 |
0.11130 |
88.497 |
8.985 |
24 |
|
25 |
10.835 |
0.0923 |
0.01017 |
0.11017 |
98.347 |
9.077 |
25 |
|
26 |
11.918 |
0.0839 |
0.00916 |
0.10916 |
109.182 |
9.161 |
26 |
|
27 |
13.110 |
0.0763 |
0.00826 |
0.10826 |
121.100 |
9.237 |
27 |
|
28 |
14.421 |
0.0693 |
0.00745 |
0.10745 |
134.210 |
9.307 |
28 |
|
29 |
15.863 |
0.0630 |
0.00673 |
0.10673 |
148.631 |
9.370 |
29 |
|
30 |
17.449 |
0.0573 |
0.00608 |
0.10608 |
164.494 |
9.427 |
30 |
|
31 |
19.194 |
0.0521 |
0.00550 |
0.10550 |
181.943 |
9.479 |
31 |
|
32 |
21.114 |
0.0474 |
0.00497 |
0.10497 |
201.138 |
9.526 |
32 |
|
33 |
23.225 |
0.0431 |
0.00450 |
0.10450 |
222.252 |
9.569 |
33 |
|
34 |
25.548 |
0.0391 |
0.00407 |
0.10407 |
245.477 |
9.609 |
34 |
|
35 |
28.102 |
0.0356 |
0.00369 |
0.10369 |
271.024 |
9.644 |
35 |
|
40 |
45.259 |
0.0221 |
0.00226 |
0.10226 |
442.593 |
9.779 |
40 |
|
45 |
72.890 |
0.0137 |
0.00139 |
0.10139 |
718.905 |
9.863 |
45 |
|
50 |
117.391 |
0.0085 |
0.00086 |
0.10086 |
1163.909 |
9.915 |
50 |
|
55 |
189.059 |
0.0053 |
0.00053 |
0.10053 |
1880.591 |
9.947 |
55 |
|
60 |
304.482 |
0.0033 |
0.00033 |
0.10033 |
3034.816 |
9.967 |
60 |
|
65 |
490.371 |
0.0020 |
0.00020 |
0.10020 |
4893.707 |
9.980 |
65 |
|
70 |
789.747 |
0.0013 |
0.00013 |
0.10013 |
7887.470 |
9.987 |
70 |
|
75 |
1271.895 |
0.0008 |
0.00008 |
0.10008 |
12708.954 |
9.992 |
75 |
|
80 |
2048.400 |
0.0005 |
0.00005 |
0.10005 |
20474.002 |
9.995 |
80 |
|
85 |
3298.969 |
0.0003 |
0.00003 |
0.10003 |
32979.690 |
9.997 |
85 |
|
90 |
5313.023 |
0.0002 |
0.00002 |
0.10002 |
53120.226 |
9.998 |
90 |
|
95 |
8556.676 |
0.0001 |
0.00001 |
0.10001 |
85556.760 |
9.999 |
95 |
|
100 |
13780.612 |
0.0061 |
0.00001 |
0.10001 |
137796.123 9.999 |
100 |
|
|
12% |
То find F, given P: (1 + /)" |
To find P, given F:
|
To find A, given F: i (1 + f)"-1 |
To find A, given P: /(1 + /Г (1 + /У-1 |
To find F, given A: (1 + /Г-1 1 |
To find P, given A: (1 + /T-1 /(1 + /)" |
|
|
п |
(f/p)'n2 |
ip/ftf |
(a/f)'2 |
(a/p)'2 |
(f/a)'n2 |
(p/a)'„2 |
n |
|
1 |
1.120 |
0.8929 |
1.00000 |
1.12000 |
1.000 |
0.893 |
1 |
|
2 |
1.254 |
0.7972 |
0.47170 |
0.59170 |
2.120 |
1.690 |
2 |
|
3 |
1.405 |
0.7118 |
0.29635 |
0.41635 |
3.374 |
2.402 |
3 |
|
4 |
1.574 |
0.6355 |
0.20923 |
0.32923 |
4.779 |
3.037 |
4 |
|
5 |
1.762 |
0.5674 |
0.15741 |
0.27741 |
6.353 |
3.605 |
5 |
|
6 |
1.974 |
0.5066 |
0.12323 |
0.24323 |
8.115 |
4.111 |
6 |
|
7 |
2.211 |
0.4523 |
0.09912 |
0.21912 |
10.089 |
4.564 |
7 |
|
8 |
2.476 |
0.4039 |
0.08130 |
0.20130 |
12.300 |
4.968 |
8 |
|
9 |
2.773 |
0.3606 |
0.06768 |
0.18768 |
14.776 |
5.328 |
9 |
|
10 |
3.106 |
0.3220 |
0.05698 |
0.17698 |
17.549 |
5.650 |
10 |
|
11 |
3.479 |
0.2875 |
0.04842 |
0.16842 |
20.655 |
5.938 |
11 |
|
12 |
3.896 |
0.2567 |
0.04144 |
0.16144 |
24.133 |
6.194 |
12 |
|
13 |
4.363 |
0.2292 |
0.03568 |
0.15568 |
28.029 |
6.424 |
13 |
|
14 |
4.887 |
0.2046 |
0.03087 |
0.15087 |
32.393 |
6.628 |
14 |
|
15 |
5.474 |
0.1827 |
0.02682 |
0.14682 |
37.280 |
6.811 |
15 |
|
16 |
6.130 |
0.1631 |
0.02339 |
0.14339 |
42.753 |
6.974 |
16 |
|
17 |
6.866 |
0.1456 |
0.02046 |
0.14046 |
48.884 |
7.120 |
17 |
|
18 |
7.690 |
0.1300 |
0.01794 |
0.13794 |
55.750 |
7.250 |
18 |
|
19 |
8.613 |
0.1161 |
0.01576 |
0.13576 |
63.440 |
7.366 |
19 |
|
20 |
9.646 |
0.1037 |
0.01388 |
0.13388 |
72.052 |
7.469 |
20 |
|
21 |
10.804 |
0.0926 |
0.01224 |
0.13224 |
81.699 |
7.562 |
21 |
|
22 |
12.100 |
0.0826 |
0.01081 |
0.13081 |
92.503 |
7.645 |
22 |
|
23 |
13.552 |
0.0738 |
0.00956 |
0.12956 |
104.603 |
7.718 |
23 |
|
24 |
15.179 |
0.0659 |
0.00846 |
0.12846 |
118.155 |
7.784 |
24 |
|
25 |
17.000 |
0.0588 |
0.00750 |
0.12750 |
133.334 |
7.843 |
25 |
|
26 |
19.040 |
0.0525 |
0.00665 |
0.12665 |
150.334 |
7.896 |
26 |
|
27 |
21.325 |
0.0469 |
0.00590 |
0.12590 |
169.374 |
7.943 |
27 |
|
28 |
23.884 |
0.0419 |
0.00524 |
0.12524 |
190.699 |
7.984 |
28 |
|
29 |
26.750 |
0.0374 |
0.00466 |
0.12466 |
214.582 |
8.022 |
29 |
|
30 |
29.960 |
0.0334 |
0.00414 |
0.12414 |
241.333 |
8.055 |
30 |
|
31 |
33.555 |
0.0298 |
0.00369 |
0.12369 |
271.292 |
8.085 |
31 |
|
32 |
37.582 |
0.0266 |
0.00328 |
0.12328 |
304.847 |
8.112 |
32 |
|
33 |
42.091 |
0.0238 |
0.00292 |
0.12292 |
342.429 |
8.135 |
33 |
|
34 |
47.142 |
0.0212 |
0.00260 |
0.12260 |
384.520 |
8.157 |
34 |
|
35 |
52.800 |
0.0189 |
0.00232 |
0.12232 |
431.663 |
8.176 |
35 |
|
40 |
93.051 |
0.0107 |
0.00130 |
0.12130 |
767.091 |
8.244 |
40 |
|
45 |
163.988 |
0.0061 |
0.00074 |
0.12074 |
1358.230 |
8.283 |
45 |
|
50 |
289.002 |
0.0035 |
0.00042 |
0.12042 |
2400.018 |
8.305 |
50 |
|
15% |
То find F, given P: (1 + i)" |
To find P, given F:
|
To find A, given F: i (1 + /)” -1 |
To find A, given P: /'(1 + /У (1 + /Г-1 |
To find F, given A: (1 + /Г-1 /’ |
To find P, given Д: (1 + /)л-1 /•(1+/T |
|
|
п |
(f/p)J5 |
(p/ftf |
(a/f)i5 |
(a/p)J5 |
(Ш'п5 |
(p/a)!5 |
n |
|
1 |
1.150 |
0.8696 |
1.00000 |
1.15000 |
1.000 |
0.870 |
1 |
|
2 |
1.322 |
0.7561 |
0.46512 |
0.61512 |
2.150 |
1.626 |
2 |
|
3 |
1.521 |
0.6575 |
0.28798 |
0.43798 |
3.472 |
2.283 |
3 |
|
4 |
1.749 |
0.5718 |
0.20027 |
0.35027 |
4.993 |
2.855 |
4 |
|
5 |
2.011 |
0.4972 |
0.14832 |
0.29832 |
6.742 |
3.352 |
5 |
|
6 |
2.313 |
0.4323 |
0.11424 |
0.26424 |
8.754 |
3.784 |
6 |
|
7 |
2.660 |
0.3759 |
0.09036 |
0.24036 |
11.067 |
4.160 |
7 |
|
8 |
3.059 |
0.3269 |
0.07285 |
0.22285 |
13.727 |
4.487 |
8 |
|
9 |
3.518 |
0.2843 |
0.05957 |
0.20957 |
16.786 |
4.772 |
9 |
|
10 |
4.046 |
0.2472 |
0.04925 |
0.19925 |
20.304 |
5.019 |
10 |
|
11 |
4.652 |
0.2149 |
0.04107 |
0.19107 |
24.349 |
5.234 |
11 |
|
12 |
5.350 |
0.1869 |
0.03448 |
0.18448 |
29.002 |
5.421 |
12 |
|
13 |
6.153 |
0.1625 |
0.02911 |
0.17911 |
34.352 |
5.583 |
13 |
|
14 |
7.076 |
0.1413 |
0.02469 |
0.17469 |
40.505 |
5.724 |
14 |
|
15 |
8.137 |
0.1229 |
0.02102 |
0.17102 |
47.580 |
5.847 |
15 |
|
16 |
9.358 |
0.1069 |
0.01795 |
0.16795 |
55.717 |
5.954 |
16 |
|
17 |
10.761 |
0.0929 |
0.01537 |
0.16537 |
65.075 |
6.047 |
17 |
|
18 |
12.375 |
0.0808 |
0.01319 |
0.16319 |
75.836 |
6.128 |
18 |
|
19 |
14.232 |
0.0703 |
0.01134 |
0.16134 |
88.212 |
6.198 |
19 |
|
20 |
16.367 |
0.0611 |
0.00976 |
0.15976 |
102.444 |
6.259 |
20 |
|
21 |
18.821 |
0.0531 |
0.00842 |
0.15842 |
118.810 |
6.312 |
21 |
|
22 |
21.645 |
0.0462 |
0.00727 |
0.15727 |
137.631 |
6.359 |
22 |
|
23 |
24.891 |
0.0402 |
0.00628 |
0.15628 |
159.276 |
6.399 |
23 |
|
24 |
28.625 |
0.0349 |
0.00543 |
0.15543 |
184.168 |
6.434 |
24 |
|
25 |
32.919 |
0.0304 |
0.00470 |
0.15470 |
212.793 |
6.464 |
25 |
|
26 |
37.857 |
0.0264 |
0.00407 |
0.15407 |
245.711 |
6.491 |
26 |
|
27 |
43.535 |
0.0230 |
0.00353 |
0.15353 |
283.569 |
6.514 |
27 |
|
28 |
50.066 |
0.0200 |
0.00306 |
0.15306 |
327.104 |
6.534 |
28 |
|
29 |
57.575 |
0.0174 |
0.00265 |
0.15265 |
377.170 |
6.551 |
29 |
|
30 |
66.212 |
0.0151 |
0.00230 |
0.15230 |
434.745 |
6.566 |
30 |
|
31 |
76.143 |
0.0131 |
0.00200 |
0.15200 |
500.956 |
6.579 |
31 |
|
32 |
87.565 |
0.0114 |
0.00173 |
0.15173 |
577.099 |
6.591 |
32 |
|
33 |
100.700 |
0.0099 |
0.00150 |
0.15150 |
664.664 |
6.600 |
33 |
|
34 |
115.805 |
0.0086 |
0.00131 |
0.15131 |
765.364 |
6.609 |
34 |
|
35 |
133.176 |
0.0075 |
0.00113 |
0.15113 |
881.170 |
6.617 |
35 |
|
40 |
267.863 |
0.0037 |
0.00056 |
0.15056 |
1779.090 |
6.642 |
40 |
|
45 |
538.769 |
0.0019 |
0.00028 |
0.15028 |
3585.128 |
6.654 |
45 |
|
50 |
1083.657 |
0.0009 |
0.00014 |
0.15014 |
7217.716 |
6.661 |
50 |
|
20% |
То find F, given P: (1 + i)" |
To find P, given F:
|
To find A, given F: i (1 + f)"-1 |
To find A, given P: /(1 + /У (1 + /Г-1 |
To find F, given A: (1 + i)"-1 / |
To find P, given A: (1 + /У-1 /(1 + /У |
|
|
п |
(f/p)f |
(,p/f)n |
(a/Of |
(■а/p)f |
if/a)n |
(p/a)f |
n |
|
1 |
1.200 |
0.8333 |
1.00000 |
1.20000 |
1.000 |
0.833 |
1 |
|
2 |
1.440 |
0.6944 |
0.45455 |
0.65455 |
2.200 |
1.528 |
2 |
|
3 |
1.728 |
0.5787 |
0.27473 |
0.47473 |
3.640 |
2.106 |
3 |
|
4 |
2.074 |
0.4823 |
0.18629 |
0.38629 |
5.368 |
2.598 |
4 |
|
5 |
2.488 |
0.4019 |
0.13438 |
0.33438 |
7.442 |
2.991 |
5 |
|
6 |
2.986 |
0.3349 |
0.10071 |
0.30071 |
9.930 |
3.326 |
6 |
|
7 |
3.583 |
0.2791 |
0.07742 |
0.27742 |
12.916 |
3.605 |
7 |
|
8 |
4.300 |
0.2326 |
0.06061 |
0.26061 |
16.499 |
3.837 |
8 |
|
9 |
5.100 |
0.1938 |
0.04808 |
0.24808 |
20.799 |
4.031 |
9 |
|
10 |
6.192 |
0.1615 |
0.03852 |
0.23852 |
25.959 |
4.192 |
10 |
|
11 |
7.430 |
0.1346 |
0.03110 |
0.23110 |
32.150 |
4.327 |
11 |
|
12 |
8.916 |
0.1122 |
0.02526 |
0.22526 |
39.581 |
4.439 |
12 |
|
13 |
10.699 |
0.0935 |
0.02062 |
0.22062 |
48.497 |
4.533 |
13 |
|
14 |
12.839 |
0.0779 |
0.01689 |
0.21689 |
59.196 |
4.611 |
14 |
|
15 |
15.407 |
0.0649 |
0.01388 |
0.21388 |
72.035 |
4.675 |
15 |
|
16 |
18.488 |
0.0541 |
0.01144 |
0.21144 |
87.442 |
4.730 |
16 |
|
17 |
22.186 |
0.0451 |
0.00944 |
0.20944 |
105.931 |
4.775 |
17 |
|
18 |
26.623 |
0.0376 |
0.00781 |
0.20781 |
128.117 |
4.812 |
18 |
|
19 |
31.948 |
0.0313 |
0.00646 |
0.20646 |
154.740 |
4.843 |
19 |
|
20 |
38.338 |
0.0261 |
0.00536 |
0.20536 |
186.688 |
4.870 |
20 |
|
21 |
46.005 |
0.0217 |
0.00444 |
0.20444 |
225.025 |
4.891 |
21 |
|
22 |
55.206 |
0.0181 |
0.00369 |
0.20369 |
271.031 |
4.909 |
22 |
|
23 |
66.247 |
0.0151 |
0.00307 |
0.20307 |
326.237 |
4.925 |
23 |
|
24 |
79.497 |
0.0126 |
0.00255 |
0.20255 |
392.484 |
4.937 |
24 |
|
25 |
95.396 |
0.0105 |
0.00212 |
0.20212 |
471.981 |
4.948 |
25 |
|
26 |
114.475 |
0.0087 |
0.00176 |
0.20176 |
567.377 |
4.956 |
26 |
|
27 |
137.371 |
0.0073 |
0.00147 |
0.20147 |
681.853 |
4.964 |
27 |
|
28 |
164.845 |
0.0061 |
0.00122 |
0.20122 |
819.223 |
4.970 |
28 |
|
29 |
197.813 |
0.0051 |
0.00102 |
0.20102 |
984.068 |
4.975 |
29 |
|
30 |
237.376 |
0.0042 |
0.00085 |
0.20085 |
1181.881 |
4.979 |
30 |
|
31 |
284.851 |
0.0035 |
0.00070 |
0.20070 |
1419.257 |
4.982 |
31 |
|
32 |
341.822 |
0.0029 |
0.00059 |
0.20059 |
1704.108 |
4.985 |
32 |
|
33 |
410.186 |
0.0024 |
0.00049 |
0.20049 |
2045.930 |
4.988 |
33 |
|
34 |
492.223 |
0.0020 |
0.00041 |
0.20041 |
2456.116 |
4.990 |
34 |
|
35 |
590.668 |
0.0017 |
0.00034 |
0.20034 |
2948.339 |
4.992 |
35 |
|
40 |
1469.772 |
0.0007 |
0.00014 |
0.20014 |
7343.858 |
4.997 |
40 |
|
45 |
3657.258 |
0.0003 |
0.00005 |
0.20005 |
18281.331 |
4.999 |
45 |
|
50 |
9100.427 |
0.0001 |
0.00002 |
0.20002 |
45497.191 |
4.999 |
50 |
