ДОДАТОК
1. Майбутня вартість одного долара на кінець n-го періоду (FVIFr, n = (1 + r)n)
Кількість періодів |
1 % |
2 % |
3 % |
4 % |
5 % |
6 % |
7 % |
8 % |
9 % |
10 % |
11 % |
12 % |
13 % |
14 % |
15 % |
1 |
1,010 |
1,020 |
1,030 |
1,040 |
1,050 |
1,060 |
1,070 |
1,080 |
1,090 |
1,100 |
1,110 |
1,120 |
1,130 |
1,140 |
1,150 |
2 |
1,020 |
1,040 |
1,061 |
1,082 |
1,102 |
1,124 |
1,145 |
1,166 |
1,188 |
1,210 |
1,232 |
1,254 |
1,277 |
1,300 |
1,323 |
3 |
1,030 |
1,061 |
1,093 |
1,125 |
1,158 |
1,191 |
1,225 |
1,260 |
1,295 |
1,331 |
1,368 |
1,405 |
1,443 |
1,482 |
1,521 |
4 |
1,041 |
1,082 |
1,126 |
1,170 |
1,216 |
1,262 |
1,311 |
1,360 |
1,412 |
1,464 |
1,518 |
1,574 |
1,630 |
1,689 |
1,749 |
5 |
1,051 |
1,104 |
1,159 |
1,217 |
1,276 |
1,338 |
1,403 |
1,469 |
1,539 |
1,611 |
1,685 |
1,762 |
1,842 |
1,925 |
2,011 |
6 |
1,062 |
1,126 |
1,194 |
1,265 |
1,340 |
1,419 |
1,501 |
1,587 |
1,677 |
1,772 |
1,870 |
1,974 |
2,082 |
2,195 |
2,313 |
7 |
1,072 |
1,149 |
1,230 |
1,316 |
1,407 |
1,504 |
1,606 |
1,714 |
1,828 |
1,949 |
2,076 |
2,211 |
2,353 |
2,502 |
2,660 |
8 |
1,083 |
1,172 |
1,267 |
1,369 |
1,477 |
1,594 |
1,718 |
1,851 |
1,993 |
2,144 |
2,305 |
2,476 |
2,658 |
2,853 |
3,059 |
9 |
1,094 |
1,195 |
1,305 |
1,423 |
1,551 |
1,689 |
1,838 |
1,999 |
2,172 |
2,358 |
2,558 |
2,773 |
3,004 |
3,252 |
3,518 |
10 |
1,105 |
1,219 |
1,344 |
1,480 |
1,629 |
1,791 |
1,967 |
2,159 |
2,367 |
2,594 |
2,839 |
3,106 |
3,395 |
3,707 |
4,046 |
11 |
1,116 |
1,243 |
1,384 |
1,539 |
1,710 |
1,898 |
2,105 |
2,332 |
2,580 |
2,853 |
3,152 |
3,479 |
3,836 |
4,226 |
4,652 |
12 |
1,127 |
1,268 |
1,426 |
1,601 |
1,796 |
2,012 |
2,252 |
2,518 |
2,813 |
3,138 |
3,498 |
3,896 |
4,335 |
4,818 |
5,350 |
13 |
1,138 |
1,294 |
1,469 |
1,665 |
1,886 |
2,133 |
2,410 |
2,720 |
3,066 |
3,452 |
3,883 |
4,363 |
4,898 |
5,492 |
6,153 |
14 |
1,149 |
1,319 |
1,513 |
1,732 |
1,980 |
2,261 |
2,579 |
2,937 |
3,342 |
3,797 |
4,310 |
4,887 |
5,535 |
6,261 |
7,076 |
15 |
1,161 |
1,346 |
1,558 |
1,801 |
2,079 |
2,397 |
2,759 |
3,172 |
3,642 |
4,177 |
4,785 |
5,474 |
6,254 |
7,138 |
8,137 |
16 |
1,173 |
1,373 |
1,605 |
1,873 |
2,183 |
2,540 |
2,952 |
3,426 |
3,970 |
4,595 |
5,311 |
6,130 |
7,067 |
8,137 |
9,358 |
17 |
1,184 |
1,400 |
1,653 |
1,948 |
2,292 |
2,693 |
3,159 |
3,700 |
4,328 |
5,054 |
5,895 |
6,866 |
7,986 |
9,276 |
10,76 |
18 |
1,196 |
1,428 |
1,702 |
2,026 |
2,407 |
2,854 |
3,380 |
3,996 |
4,717 |
5,560 |
6,544 |
7,690 |
9,024 |
10,58 |
12,38 |
19 |
1,208 |
1,457 |
1,754 |
2,107 |
2,527 |
3,026 |
3,617 |
4,316 |
5,142 |
6,116 |
7,263 |
8,613 |
10,20 |
12,06 |
14,23 |
20 |
1,220 |
1,486 |
1,806 |
2,191 |
2,653 |
3,207 |
3,870 |
4,661 |
5,604 |
6,727 |
8,062 |
9,646 |
11,52 |
13,74 |
16,37 |
25 |
1,282 |
1,641 |
2,094 |
2,666 |
3,386 |
4,292 |
5,427 |
6,848 |
8,623 |
10,83 |
13,59 |
17,00 |
21,23 |
26,46 |
32,92 |
30 |
1,348 |
1,811 |
2,427 |
3,243 |
4,322 |
5,743 |
7,612 |
10,06 |
13,27 |
17,45 |
22,89 |
29,96 |
39,12 |
50,95 |
66,21 |
40 |
1,489 |
2,208 |
3,262 |
4,801 |
7,040 |
10,29 |
14,97 |
21,73 |
31,41 |
45,26 |
65,00 |
93,05 |
132,8 |
188,9 |
267,9 |
50 |
1,645 |
2,692 |
4,384 |
7,107 |
11,47 |
18,42 |
29,46 |
46,90 |
74,36 |
117,4 |
184,6 |
289,0 |
450,7 |
700,2 |
1084 |
Кількість періодів |
16 % |
17 % |
18 % |
19 % |
20 % |
21 % |
22 % |
23 % |
24 % |
25 % |
26 % |
27 % |
28 % |
29 % |
30 % |
1 |
1,160 |
1,170 |
1,180 |
1,190 |
1,200 |
1,210 |
1,220 |
1,230 |
1,240 |
1,250 |
1,260 |
1,270 |
1,280 |
1,290 |
1,300 |
2 |
1,346 |
1,369 |
1,392 |
1,416 |
1,440 |
1,464 |
1,488 |
1,513 |
1,538 |
1,563 |
1,588 |
1,613 |
1,638 |
1,664 |
1,690 |
3 |
1,561 |
1,602 |
1,643 |
1,685 |
1,728 |
1,772 |
1,816 |
1,861 |
1,907 |
1,953 |
2,000 |
2,048 |
2,097 |
2,147 |
2,197 |
4 |
1,811 |
1,874 |
1,939 |
2,005 |
2,074 |
2,144 |
2,215 |
2,289 |
2,364 |
2,441 |
2,520 |
2,601 |
2,684 |
2,769 |
2,856 |
5 |
2,100 |
2,192 |
2,288 |
2,386 |
2,488 |
2,594 |
2,703 |
2,815 |
2,932 |
3,052 |
3,176 |
3,304 |
3,436 |
3,572 |
3,713 |
6 |
2,436 |
2,565 |
2,700 |
2,840 |
2,986 |
3,138 |
3,297 |
3,463 |
3,635 |
3,815 |
4,002 |
4,196 |
4,398 |
4,608 |
4,827 |
7 |
2,826 |
3,001 |
3,185 |
3,379 |
3,583 |
3,797 |
4,023 |
4,259 |
4,508 |
4,768 |
5,042 |
5,329 |
5,629 |
5,945 |
6,275 |
8 |
3,278 |
3,511 |
3,759 |
4,021 |
4,300 |
4,595 |
4,908 |
5,239 |
5,590 |
5,960 |
6,353 |
6,768 |
7,206 |
7,669 |
8,157 |
9 |
3,803 |
4,108 |
4,435 |
4,785 |
5,160 |
5,560 |
5,987 |
6,444 |
6,931 |
7,451 |
8,005 |
8,595 |
9,223 |
9,893 |
10,60 |
10 |
4,411 |
4,807 |
5,234 |
5,695 |
6,192 |
6,727 |
7,305 |
7,926 |
8,594 |
9,313 |
10,09 |
10,92 |
11,81 |
12,76 |
13,79 |
11 |
5,177 |
5,624 |
6,176 |
6,777 |
7,430 |
8,140 |
8,912 |
9,749 |
10,66 |
11,64 |
12,71 |
13,86 |
15,11 |
16,46 |
17,92 |
12 |
5,936 |
6,580 |
7,288 |
8,064 |
8,916 |
9,850 |
10,87 |
11,99 |
13,21 |
14,55 |
16,01 |
17,61 |
19,34 |
21,24 |
23,30 |
13 |
6,886 |
7,699 |
8,599 |
9,596 |
10,70 |
11,92 |
13,26 |
14,75 |
16,39 |
18,19 |
20,18 |
22,36 |
24,76 |
27,39 |
30,29 |
14 |
7,988 |
9,007 |
10,15 |
11,42 |
12,84 |
14,42 |
16,18 |
18,14 |
20,32 |
22,74 |
25,42 |
28,40 |
31,69 |
35,34 |
39,37 |
15 |
9,266 |
10,54 |
11,97 |
13,59 |
15,41 |
17,45 |
19,74 |
22,31 |
25,20 |
28,42 |
32,03 |
36,06 |
40,56 |
45,59 |
51,19 |
16 |
10,75 |
12,33 |
14,13 |
16,17 |
18,49 |
21,11 |
24,09 |
27,45 |
31,24 |
35,53 |
40,36 |
45,80 |
51,92 |
58,81 |
66,54 |
17 |
12,47 |
14,43 |
16,67 |
19,24 |
22,19 |
25,55 |
29,38 |
33,76 |
38,74 |
44,41 |
50,85 |
58,17 |
66,46 |
75,86 |
86,50 |
18 |
14,46 |
16,88 |
19,67 |
22,90 |
26,62 |
30,91 |
35,85 |
41,52 |
48,04 |
55,51 |
64,07 |
73,87 |
85,07 |
97,86 |
112,5 |
19 |
16,78 |
19,75 |
23,21 |
27,25 |
31,95 |
37,40 |
43,74 |
51,07 |
59,57 |
69,39 |
80,73 |
93,81 |
108,9 |
126,2 |
146,2 |
20 |
19,46 |
23,11 |
27,39 |
32,43 |
38,34 |
45,26 |
53,36 |
62,82 |
73,86 |
86,74 |
101,7 |
119,1 |
139,4 |
162,9 |
190,0 |
25 |
40,87 |
50,66 |
62,67 |
77,39 |
95,40 |
117,4 |
144,2 |
176,9 |
216,5 |
264,7 |
323,0 |
393,6 |
478,9 |
581,8 |
705,6 |
30 |
85,85 |
111,1 |
143,4 |
184,7 |
237,4 |
304,5 |
389,8 |
497,9 |
634,8 |
807,8 |
1026 |
1301 |
1646 |
2078 |
2620 |
40 |
378,7 |
533,9 |
750,4 |
1052 |
1470 |
2048 |
2847 |
3946 |
5456 |
7523 |
10347 |
14195 |
19427 |
26521 |
36119 |
50 |
1671 |
2566 |
3927 |
5989 |
9100 |
13781 |
20797 |
31279 |
46890 |
70065 |
104358 |
154948 |
229350 |
338442 |
497929 |
2. Майбутня вартість одного долара ануїтету за період, що складається
з n-ї кількості років, місяців та ін. 
Кількість періодів |
1 % |
2 % |
3 % |
4 % |
5 % |
6 % |
7 % |
8 % |
9 % |
10 % |
11 % |
12 % |
13 % |
14 % |
15 % |
1 |
1,000 |
1,000 |
1,000 |
1,000 |
1,000 |
1,000 |
1,000 |
1,000 |
1,000 |
1,000 |
1,000 |
1,000 |
1,000 |
1,000 |
1,000 |
2 |
2,010 |
2,020 |
2,030 |
2,040 |
2,050 |
2,060 |
2,070 |
2,080 |
2,090 |
2,100 |
2,110 |
2,120 |
2,130 |
2,140 |
2,150 |
3 |
3,030 |
3,060 |
3,091 |
3,122 |
3,152 |
3,184 |
3,215 |
3,246 |
3,278 |
3,310 |
3,342 |
3,374 |
3,407 |
3,440 |
3,472 |
4 |
4,060 |
4,122 |
4,184 |
4,246 |
4,310 |
4,375 |
4,440 |
4,506 |
4,573 |
4,641 |
4,710 |
4,779 |
4,850 |
4,921 |
4,993 |
5 |
5,101 |
5,204 |
5,309 |
5,416 |
5,526 |
5,637 |
5,751 |
5,867 |
5,985 |
6,105 |
6,228 |
6,353 |
6,480 |
6,610 |
6,742 |
6 |
6,152 |
6,308 |
6,468 |
6,633 |
6,802 |
6,975 |
7,153 |
7,336 |
7,523 |
7:716 |
7,913 |
8,115 |
8,323 |
8,536 |
8,754 |
7 |
7,214 |
7,434 |
7,662 |
7,898 |
8,142 |
8,394 |
8,654 |
8,923 |
9,200 |
9,487 |
9,783 |
10,09 |
10,40 |
10,73 |
11,07 |
8 |
8,286 |
8,583 |
8,892 |
9,214 |
9,549 |
9,897 |
10,26 |
10,64 |
11,03 |
11,44 |
11,86 |
12,30 |
12,76 |
13,23 |
13,73 |
9 |
9,369 |
9,755 |
10,16 |
10,58 |
11,03 |
11,49 |
11,98 |
12,49 |
13,02 |
13,58 |
14,16 |
14,78 |
15,42 |
16,09 |
16,79 |
10 |
10,46 |
10,95 |
11,46 |
12,01 |
12,58 |
13,18 |
13,82 |
14,49 |
15,19 |
15,94 |
16,72 |
17,55 |
18,42 |
19,34 |
20,30 |
11 |
11,57 |
12,17 |
12,81 |
13,49 |
14,21 |
14,97 |
15,78 |
16,65 |
17,56 |
18,53 |
19,56 |
20,65 |
21,81 |
23,04 |
24,35 |
12 |
12,68 |
13,41 |
14,19 |
15,03 |
15,92 |
16,87 |
17,89 |
18,98 |
20,14 |
21,38 |
22,71 |
24,13 |
25,65 |
27,27 |
29,00 |
13 |
13,81 |
14,68 |
15,62 |
16,63 |
17,71 |
18,88 |
20,14 |
21,50 |
22,95 |
24,52 |
26,21 |
28,03 |
29,98 |
32,09 |
34,35 |
14 |
14,95 |
15,97 |
17,09 |
18,29 |
19,60 |
21,02 |
22,55 |
24,21 |
26,02 |
27,97 |
30,09 |
32,39 |
34,88 |
37,58 |
40,50 |
15 |
16,10 |
17,29 |
18,60 |
20,02 |
21,58 |
23,28 |
25,13 |
27,15 |
29,36 |
31,77 |
34,41 |
37,28 |
40,42 |
43,84 |
47,58 |
16 |
17,26 |
18,64 |
20,16 |
21,82 |
23,66 |
25,67 |
27,89 |
30,32 |
33,00 |
35,95 |
39,19 |
42,75 |
46,67 |
50,98 |
55,72 |
17 |
18,43 |
20,01 |
21,76 |
23,70 |
25,84 |
28,21 |
30,84 |
33,75 |
36,97 |
40,54 |
44,50 |
48,88 |
53,74 |
59,12 |
65,08 |
18 |
19,61 |
21,41 |
23,41 |
25,65 |
28,13 |
30,91 |
34,00 |
37,45 |
41,30 |
45,60 |
50,40 |
55,75 |
61,73 |
68,39 |
75,84 |
19 |
20,81 |
22,84 |
25,12 |
27,67 |
30,54 |
33,76 |
37,38 |
41,45 |
46,02 |
51,16 |
56,94 |
63,44 |
70,75 |
78,97 |
88,21 |
20 |
22,02 |
24,30 |
26,87 |
29,78 |
33,07 |
36,79 |
41,00 |
45,76 |
51,16 |
57,27 |
64,20 |
72,05 |
80,95 |
91,02 |
102,4 |
25 |
28,24 |
32,03 |
36,46 |
41,65 |
47,73 |
54,86 |
63,25 |
73,11 |
84,70 |
98,35 |
114,4 |
133,3 |
155,6 |
181,9 |
212,8 |
30 |
34,78 |
4Q,57 |
47,58 |
56,08 |
66,44 |
79,06 |
94,46 |
113,3 |
136,3 |
164,5 |
199,0 |
241,3 |
293,2 |
356,8 |
434,7 |
40 |
48,89 |
60,40 |
75,40 |
95,03 |
120,8 |
154,8 |
199,6 |
259,1 |
337,9 |
442,6 |
581,8 |
767,1 |
1014 |
1342 |
1779 |
50 |
64,46 |
84,58 |
112,8 |
152,7 |
209,3 |
290,3 |
406,5 |
573,8 |
815,1 |
1164 |
1669 |
2400 |
3460 |
4995 |
7218 |
Кількість періодів |
16 % |
17 % |
18 % |
19 % |
20 % |
21 % |
22 % |
23 % |
24 % |
25 % |
26 % |
27 % |
28 % |
29 % |
30 % |
1 |
1,000 |
1,000 |
1,000 |
1,000 |
1,000 |
1,000 |
1,000 |
1,000 |
1,000 |
1,000 |
1,000 |
1,000 |
1,000 |
1,000 |
1,000 |
2 |
2,160 |
2,170 |
2,180 |
2,190 |
2,200 |
2,210 |
2,220 |
2,230 |
2,240 |
2,250 |
2,260 |
2,270 |
2,280 |
2,290 |
2,300 |
3 |
3,506 |
3,539 |
3,572 |
3,606 |
3,640 |
3,674 |
3,708 |
3,743 |
3,778 |
3,812 |
3,848 |
3,883 |
3,918 |
3,954 |
3,990 |
4 |
5,066 |
5,141 |
5,215 |
5,291 |
5,368 |
5,446 |
5,524 |
5,604 |
5,684 |
5,766 |
5,848 |
5,931 |
6,016 |
6,101 |
6,187 |
5 |
6,877 |
7,014 |
7,154 |
7,297 |
7,442 |
7,589 |
7,740 |
7,893 |
8,048 |
8,207 |
8,368 |
8,533 |
8,700 |
8,870 |
9,043 |
6 |
8,977 |
9,207 |
9,442 |
9,683 |
9,930 |
10,18 |
10,44 |
10,71 |
10,98 |
11,26 |
11,54 |
11,84 |
12,14 |
12,44 |
12,76 |
7 |
11,41 |
11,77 |
12,14 |
12,52 |
12,92 |
-13,32 |
13,74 |
14,17 |
14,62 |
15,07 |
15,55 |
16,03 |
16,53 |
17,05 |
17,58 |
8 |
14,24 |
14,77 |
15,33 |
15,90 |
16,50 |
17,12 |
17,76 |
18,43 |
19,12 |
19,84 |
20,59 |
21,36 |
22,16 |
23,00 |
23,86 |
9 |
17,52 |
18,28 |
19,09 |
19,92 |
20,80 |
21,71 |
22,67 |
23,67 |
24,71 |
25,80 |
26,94 |
28,13 |
29,37 |
30,66 |
32,01 |
10 |
21,32 |
22,39 |
23,52 |
24,71 |
25,96 |
27,27 |
28,66 |
30,11 |
31,64 |
33,25 |
34,94 |
36,72 |
38,59 |
40,56 |
42,62 |
11 |
25,73 |
27,20 |
28,76 |
30,40 |
32,15 |
34,00 |
35,96 |
38,04 |
40,24 |
42,57 |
45,03 |
47,64 |
50,40 |
53,32 |
56,41 |
12 |
30,85 |
32,82 |
34,93 |
37,18 |
39,58 |
42,14 |
44,87 |
47,79 |
50,89 |
54,21 |
57,74 |
61,50 |
65,51 |
69,78 |
74,33 |
13 |
36,79 |
39,40 |
42,22 |
45,24 |
48,50 |
51,99 |
55,75 |
59,78 |
64,11 |
68,76 |
73,75 |
79,11 |
84,85 |
91,02 |
97,63 |
14 |
43,67 |
47,10 |
50,82 |
54,84 |
59,20 |
63,91 |
69,01 |
74,53 |
80,50 |
86,95 |
93,93 |
101,5 |
109,6 |
118,4 |
127,9 |
15 |
51,66 |
56,11 |
60,97 |
66,26 |
72,04 |
78,33 |
85,19 |
92,67 |
100,8 |
109,7 |
119,3 |
129,9 |
141,3 |
153,7 |
167,3 |
16 |
60,93 |
66,65 |
72,94 |
79,85 |
87,44 |
95,78 |
104,9 |
115,0 |
126,0 |
138,1 |
151,4 |
165,9 |
181,9 |
199,3 |
218,5 |
17 |
71,67 |
78,98 |
87,07 |
96,02 |
105,9 |
116,9 |
129,0 |
142,4 |
157,3 |
173,6 |
191,7 |
211,7 |
233,8 |
258,1 |
285,0 |
18 |
84,14 |
93,41 |
103,7 |
115,3 |
128,1 |
142,4 |
158,4 |
176,2 |
196,0 |
218,0 |
242,6 |
269,9 |
300,3 |
334,0 |
371,5 |
19 |
98,60 |
110,3 |
123,4 |
138,2 |
154,7 |
173,4 |
194,3 |
217,7 |
244,0 |
273,6 |
306,7 |
343,8 |
385,3 |
431,9 |
484,0 |
20 |
115,4 |
130,0 |
146,6 |
165,4 |
186,7 |
210,8 |
238,0 |
268,8 |
303,6 |
342,9 |
387,4 |
437,6 |
494,2 |
558,1 |
630,2 |
25 |
249,2 |
292,1 |
342,6 |
402,0 |
472,0 |
554,2 |
651,0 |
764,6 |
898,1 |
1055 |
1239 |
1454 |
1707 |
2003 |
2349 |
30 |
530,3 |
647,4 |
790,9 |
966,7 |
1182 |
1445 |
1767 |
2160 |
2641 |
3227 |
3942 |
4813 |
5873 |
7163 |
8730 |
40 |
2361 |
3135 |
4163 |
5530 |
7344 |
9750 |
12937 |
17154 |
22729 |
30089 |
39793 |
52572 |
69377 |
91448 |
120393 |
50 |
10436 |
15090 |
21813 |
31515 |
45497 |
65617 |
94525 |
135992 |
195373 |
280256 |
401374 |
573878 |
819103 |
1167041 |
1659761 |
3. Теперішня вартість одного долара, що складається на кінець n-го періоду
(всі показники менші за 1) (PVIFr, n = )
Кількість періодів |
1 % |
2 % |
3 % |
4 % |
5 % |
6 % |
7 % |
8 % |
9 % |
10 % |
11 % |
12 % |
13 % |
14 % |
15 % |
1 |
,990 |
,980 |
,971 |
,962 |
,952 |
,943 |
,935 |
,926 |
,917 |
,909 |
,901 |
,893 |
,885 |
,877 |
,870 |
2 |
,980 |
,961 |
,943 |
,925 |
,907 |
,890 |
,873 |
,857 |
,842 |
,826 |
,812 |
,797 |
,783 |
,769 |
,756 |
3 |
,971 |
,942 |
,915 |
,889 |
,864 |
,840 |
,816 |
,794 |
,772 |
,751 |
,731 |
,712 |
,693 |
,675 |
,658 |
4 |
,961 |
,924 |
,888 |
,855 |
,823 |
,792 |
,763 |
,735 |
,708, |
,683 |
,659 |
,636 |
,613 |
,592 |
,572 |
5 |
,951 |
,906 |
,863 |
,822 |
,784 |
,747 |
,713 |
,681 |
,650 |
,621 |
,593 |
,567 |
,543 |
,519 |
,497 |
6 |
,942 |
,888 |
,837 |
,790 |
,746 |
,705 |
,666 |
,630 |
,596 |
,564 |
,535 |
,507 |
,480 |
,456 |
,432 |
7 |
,933 |
,871 |
,813 |
,760 |
,711 |
,665 |
,623 |
,583 |
,547 |
,513 |
,482 |
,452 |
,425 |
,400 |
,376 |
8 |
,923 |
,853 |
,789 |
,731 |
,677 |
,627 |
,582 |
,540 |
,502 |
,467 |
,434 |
,404 |
,376 |
,351 |
,327 |
9 |
,914 |
,837 |
,766 |
,703 |
,645 |
,592 |
,544 |
,500 |
,460 |
,424 |
,391 |
,361 |
,333 |
,308 |
,284 |
10 |
,905 |
,820 |
,744 |
,676 |
,614 |
,558 |
,508 |
,463 |
,422 |
,386 |
,352 |
,322 |
,295 |
,270 |
,247 |
11 |
,896 |
,804 |
,722 |
,650 |
,585 |
,527 |
,475 |
,429 |
,388 |
,350 |
,317 |
,287 |
,261 |
,237 |
,215 |
12 |
,887 |
,788 |
,701 |
,625 |
,557 |
,497 |
,444 |
,397 |
,356 |
,319 |
,286 |
,257 |
,231 |
,208 |
,187 |
13 |
,879 |
,773 |
,681 |
,601 |
,530 |
,469 |
,415 |
,368 |
,326 |
,290 |
,258 |
,229 |
,204 |
,182 |
,163 |
14 |
,870 |
,758 |
,661 |
,577 |
,505 |
,442 |
,388 |
,340 |
,299 |
,263 |
,232 |
,205 |
,181 |
,160 |
,141 |
15 |
,861 |
,743 |
,642 |
,555 |
,481 |
,417 |
,362 |
,315 |
,275 |
,239 |
,209 |
,183 |
,160 |
,140 |
,123 |
16 |
,853 |
,728 |
,623 |
,534 |
,458 |
,394 |
,339 |
,292 |
,252 |
,218 |
,188 |
,163 |
,141 |
,123 |
,107 |
17 |
,844 |
,714 |
,605 |
,513 |
,436 |
,371 |
,317 |
,270 |
,231 |
,198 |
,170 |
,146 |
,125 |
,108 |
,093 |
18 |
,836 |
,700 |
,587 |
,494 |
,416 |
,350 |
,296 |
,250 |
,212 |
,180 |
,153 |
,130 |
,111 |
,095 |
,081 |
19 |
,828 |
,686 |
,570 |
,475 |
,396 |
,331 |
,277 |
,232 |
,194 |
,164 |
,138 |
,116 |
,098 |
,083 |
,070 |
20 |
,820 |
,673 |
,554 |
,456 |
,377 |
,312 |
,258 |
,215 |
,178 |
,149 |
,124 |
,104 |
,087 |
,073 |
,061 |
25 |
,780 |
,610 |
,478 |
,375 |
,295 |
,233 |
,184 |
,146 |
,116 |
,092 |
,074 |
,059 |
,047 |
,038 |
,030 |
30 |
,742 |
,552 |
,412 |
,308 |
,231 |
,174 |
,131 |
,099 |
,075 |
,057 |
,044 |
,033 |
,026 |
,020 |
,015 |
40 |
,672 |
,453 |
,307 |
,208 |
,142 |
,097 |
,067 |
,046 |
,032 |
,022 |
,015 |
,011 |
,008 |
,005 |
,004 |
50 |
,608 |
,372 |
,228 |
,141 |
,087 |
,054 |
,034 |
,021 |
,013 |
,009 |
,005 |
,003 |
,002 |
,001 |
,001 |
Кількість періодів |
16 % |
17 % |
18 % |
19 % |
20 % |
21 % |
22 % |
23 % |
24 % |
25 % |
26 % |
27 % |
28 % |
29 % |
30 % |
1 |
,862 |
,855 |
,847 |
,840 |
,833 |
,826 |
,820 |
,813 |
,806 |
,800 |
,794 |
,787 |
,781 |
,775 |
,769 |
2 |
,743 |
,731 |
,718 |
,706 |
,694 |
,683 |
,672 |
,661 |
,650 |
,640 |
,630 |
,620 |
,610 |
,601 |
,592 |
3 |
,641 |
,624 |
,609 |
,593 |
,579 |
,564 |
,551 |
,537 |
,524 |
,512 |
,500 |
,488 |
,477 |
,466 |
,455 |
4 |
,552 |
,534 |
,516 |
,499 |
,482 |
,467 |
,451 |
,437 |
,423 |
,410 |
,397 |
,384 |
,373 |
,361 |
,350 |
5 |
,476 |
,456 |
,437 |
,419 |
,402 |
,386 |
,370 |
,355 |
,341 |
,328 |
,315 |
,303 |
,291 |
,280 |
,269 |
6 |
,410 |
,390 |
,370 |
,352 |
,335 |
,319 |
,303 |
,289 |
,275 |
,262 |
,250 |
,238 |
,227 |
,217 |
,207 |
7 |
,354 |
,333 |
,314 |
,296 |
,279 |
,263 |
,249 |
,235 |
,222 |
,210 |
,198 |
,188 |
,178 |
,168 |
,159 |
8 |
,305 |
,285 |
,266 |
,249 |
,233 |
,218 |
,204 |
,191 |
,179 |
,168 |
,157 |
,148 |
,139 |
,130 |
,123 |
9 |
,263 |
,243 |
,225 |
,209 |
,194 |
,180 |
,167 |
,155 |
,144 |
,134 |
,125 |
,116 |
,108 |
,101 |
,094 |
10 |
,227 |
,208 |
,191 |
,176 |
,162 |
,149 |
,137 |
,126 |
,116 |
,107 |
,099 |
,092 |
,085 |
,078 |
,073 |
11 |
,195 |
,178 |
,162 |
,148 |
,135 |
,123 |
,112 |
,103 |
,094 |
,086 |
,079 |
,072 |
,066 |
,061 |
,056 |
12 |
,168 |
,152 |
,137 |
,124 |
,112 |
,102 |
,092 |
,083 |
,076 |
,069 |
,062 |
,057 |
,052 |
,047 |
,043 |
13 |
,145 |
,130 |
,116 |
,104 |
,093 |
,084 |
,075 |
,068 |
,061 |
,055 |
,050 |
,045 |
,040 |
,037 |
,033 |
14 |
,125 |
,111 |
,099 |
,088 |
,078 |
,069 |
,062 |
,055 |
,049 |
,044 |
,039 |
,035 |
,032 |
,028 |
,025 |
15 |
,108 |
,095 |
,084 |
,074 |
,065 |
,057 |
,051 |
,045 |
,040 |
,035 |
,031 |
,028 |
,025 |
,022 |
,020 |
16 |
,093 |
,081 |
,071 |
,062 |
,054 |
,047 |
,042 |
,036 |
,032 |
,028 |
,025 |
,022 |
,019 |
,017 |
,015 |
17 |
,080 |
,069 |
,060 |
,052 |
,045 |
,039 |
,034 |
,030 |
,026 |
,023 |
,020 |
,017 |
,015 |
,013 |
,012 |
18 |
,069 |
,059 |
,051 |
,044 |
,038 |
,032 |
,028 |
,024 |
,021 |
,018 |
,016 |
,014 |
,012 |
,010 |
,009 |
19 |
,060 |
,051 |
,043 |
,037 |
,031 |
,027 |
,023 |
,020 |
,017 |
,014 |
,012 |
,011 |
,009 |
,008 |
,007 |
20 |
,051 |
,043 |
,037 |
,031 |
,026 |
,022 |
,019 |
,016 |
,014 |
,012 |
,010 |
,008 |
,007 |
,006 |
,005 |
25 |
,024 |
,020 |
,016 |
,013 |
,010 |
,009 |
,007 |
,006 |
,005 |
,004 |
,003 |
,003 |
,002 |
,002 |
,001 |
30 |
,012 |
,009 |
,007 |
,005 |
,004 |
,003 |
,003 |
,002 |
,002 |
,001 |
,001 |
,001 |
,001 |
,000 |
,000 |
40 |
,003 |
,002 |
,001 |
,001 |
,001 |
,000 |
,000 |
,000 |
,000 |
,000 |
,000 |
,000 |
,000 |
,000 |
,000 |
50 |
,001 |
,000 |
,000 |
,000 |
,000 |
,000 |
,000 |
,000 |
,000 |
,000 |
,000 |
,000 |
,000 |
,000 |
,000 |
4. Теперішня вартість одного долара ануїтету за період, що складається
з n-ї кількості років, місяців та ін. 
Кількість періодів |
1 % |
2 % |
3 % |
4 % |
5 % |
6 % |
7 % |
8 % |
9 % |
10 % |
11 % |
12 % |
13 % |
14 % |
15 % |
1 |
,990 |
,980 |
,971 |
,962 |
,952 |
,943 |
,935 |
,926 |
,917 |
,909 |
,901 |
,893 |
,885 |
,877 |
,870 |
2 |
1,970 |
1,942 |
1,913 |
1,886 |
1,859 |
1,833 |
1,808 |
1,783 |
1,759 |
1,736 |
1,713 |
1,690 |
1,668 |
1,647 |
1,626 |
3 |
2,941 |
2,884 |
2,829 |
2,775 |
2,723 |
2,673 |
2,624 |
2,577 |
2,531 |
2,487 |
2,444 |
2,402 |
2,361 |
2,322 |
2,283 |
4 |
3,902 |
3,808 |
3,717 |
3,630 |
3,546 |
3,465 |
3,387 |
3,312 |
3,240 |
3,170 |
3,102 |
3,037 |
2,974 |
2,914 |
2,855 |
5 |
4,853 |
4,713 |
4,580 |
4,452 |
4,329 |
4,212 |
4,100 |
3,993 |
3,890 |
3,791 |
3,696 |
3,605 |
3,517 |
3,433 |
3,352 |
6 |
5,795 |
5,601 |
5,417 |
5,242 |
5,076 |
4,917 |
4,767 |
4,623 |
4,486 |
4,355 |
4,231 |
4,111 |
3,998 |
3,889 |
3,784 |
7 |
6,728 |
6,472 |
6,230 |
6,002 |
5,786 |
5,582 |
5,389 |
5,206 |
5,033 |
4,868 |
4,712 |
4,564 |
4,423 |
4,288 |
4,160 |
8 |
7,652 |
7,325 |
7,020 |
6,733 |
6,463 |
6,210 |
5,971 |
5,747 |
5,535 |
5,335 |
5,146 |
4,968 |
4,799 |
4,639 |
4,487 |
9 |
8,566 |
8,162 |
7,786 |
7,435 |
7,108 |
6,802 |
6,515 |
6,247 |
5,995 |
5,759 |
5,537 |
5,328 |
5,132 |
4,946 |
4,772 |
10 |
9,471 |
8,983 |
8,530 |
8,111 |
7,722 |
7,360 |
7,024 |
6,710 |
6,418 |
6,145 |
5,889 |
5,650 |
5,426 |
5,216 |
5,019 |
11 |
10,37 |
9,787 |
9,253 |
8,760 |
8,306 |
7,887 |
7,499 |
7,139 |
6,805 |
6,495 |
6,207 |
5,938 |
5,687 |
5,453 |
5,234 |
12 |
11,26 |
10,58 |
9,954 |
9,385 |
8,863 |
8,384 |
7,943 |
7,536 |
7,161 |
6,814 |
6,492 |
6,194 |
5,918 |
5,660 |
5,421 |
13 |
12,13 |
11,35 |
10,63 |
9,986 |
9,394 |
8,853 |
8,358 |
7,904 |
7,487 |
7,103 |
6,750 |
6,424 |
6,122 |
5,842 |
5,583 |
14 |
13,00 |
12,11 |
11,30 |
10,56 |
9,899 |
9,295 |
8,745 |
8,244 |
7,786 |
7,367 |
6,982 |
6,628 |
6,302 |
6,002 |
5,724 |
15 |
13,87 |
12,85 |
11,94 |
11,12 |
10,38 |
9,712 |
9,108 |
8,559 |
8,061 |
7,606 |
7,191 |
6,811 |
6,462 |
6,142 |
5,847 |
16 |
14,72 |
13,58 |
12,56 |
11,65 |
10,84 |
10,11 |
9,447 |
8,851 |
8,313 |
7,824 |
7,379 |
6,974 |
6,604 |
6,265 |
5,954 |
17 |
15,56 |
14,29 |
13,17 |
12,17 |
11,27 |
10,48 |
9,763 |
9,122 |
8,544 |
8,022 |
7,549 |
7,120 |
6,729 |
6,373 |
6,047 |
18 |
16,40 |
14,99 |
13,75 |
12,66 |
11,69 |
10,83 |
10,06 |
9,372 |
8,756 |
8,201 |
7,702 |
7,250 |
6,840 |
6,467 |
6,128 |
19 |
17,23 |
15,68 |
14,32 |
13,13 |
12,09 |
11,16 |
10,34 |
9,604 |
8,950 |
8,365 |
7,839 |
7,366 |
6,938 |
6,550 |
6,198 |
20 |
18,05 |
16,35 |
14,88 |
13,59 |
12,46 |
11,47 |
10,59 |
9,818 |
9,129 |
8,514 |
7,963 |
7,469 |
7,025 |
6,623 |
6,259 |
25 |
22,02 |
19,52 |
17,41 |
15,62 |
14,09 |
12,78 |
11,65 |
10,67 |
9,823 |
9,077 |
8,422 |
7,843 |
7,330 |
6,873 |
6,464 |
30 |
25,81 |
22,40 |
19,60 |
17,29 |
15,37 |
13,76 |
12,41 |
11,26 |
10,27 |
9,427 |
8,694 |
8,055 |
7,496 |
7,003 |
6,566 |
40 |
32,84 |
27,36 |
23,12 |
19,79 |
17,16 |
15,05 |
13,33 |
11,93 |
10,76 |
9,779 |
8,951 |
8,244 |
7,634 |
7,105 |
6,642 |
50 |
39,20 |
31,42 |
25,73 |
21,48 |
18,26 |
15,76 |
13,80 |
12,23 |
10,96 |
9,915 |
9,042 |
8,304 |
7,675 |
7,133 |
6,661 |
Кількість періодів |
16 % |
17 % |
18 % |
19 % |
20 % |
21 % |
22 % |
23 % |
24 % |
25 % |
26 % |
27 % |
28 % |
29 % |
30 % |
1 |
,862 |
,855 |
,847 |
,840 |
,833 |
,826 |
,820 |
,813 |
,806 |
,800 |
,794 |
,787 |
,781 |
,775 |
,769 |
2 |
1,605 |
1,585 |
1,566 |
1,547 |
1,528 |
1,509 |
1,492 |
1,474 |
1,457 |
1,440 |
1,424 |
1,407 |
1,392 |
1,376 |
1,361 |
3 |
2,246 |
2,210 |
2,174 |
2,140 |
2,106 |
2,074 |
2,042 |
2,011 |
1,981 |
1,952 |
1,923 |
1,896 |
1,868 |
1,842 |
1,816 |
4 |
2,798 |
2,743 |
2,690 |
2,639 |
2,589 |
2,540 |
2,494 |
2,448 |
2,404 |
2,362 |
2,320 |
2,280 |
2,241 |
2,203 |
2,166 |
5 |
3,274 |
3,199 |
3,127 |
3,058 |
2,991 |
2,926 |
2,864 |
2,803 |
2,745 |
2,689 |
2,635 |
2,583 |
2,532 |
2,483 |
2,436 |
6 |
3,685 |
3,589 |
3,498 |
3,410 |
3,326 |
3,245 |
3,167 |
3,092 |
3,020 |
2,951 |
2,885 |
2,821 |
2,759 |
2,700 |
2,643 |
7 |
4,039 |
3,922 |
3,812 |
3,706 |
3,605 |
3,508 |
3,416 |
3,327 |
3,242 |
3,161 |
3,083 |
3,009 |
2,937 |
2,868 |
2,802 |
8 |
4,344 |
4,207 |
4,078 |
3,954 |
3,837 |
3,726 |
3,619 |
3,518 |
3,421 |
3,329 |
3,241 |
3,156 |
3,076 |
2,999 |
2,925 |
9 |
4,607 |
4,451 |
4,303 |
4,163 |
4,031 |
3,905 |
3,786 |
3,673 |
3,566 |
3,463 |
3,366 |
3,273 |
3,184 |
3,100 |
3,019 |
10 |
4,833 |
4,659 |
4,494 |
4,339 |
4,192 |
4,054 |
3,923 |
3,799 |
3,682 |
3,571 |
3,465 |
3,364 |
3,269 |
3,178 |
3,092 |
11 |
5,029 |
4,836 |
4,656 |
4,486 |
4,327 |
4,177 |
4,035 |
3,902 |
3,776 |
3,656 |
3,543 |
3,437 |
3,335 |
3,239 |
3,147 |
12 |
5,197 |
4,988 |
4,793 |
4,611 |
4,439 |
4,278 |
4,127 |
3,985 |
3,851 |
3,725 |
3,606 |
3,493 |
3,387 |
3,286 |
3,190 |
13 |
5,342 |
5,118 |
4,910 |
4,715 |
4,533 |
4,362 |
4,203 |
4,053 |
3,912 |
3,780 |
3,656 |
3,538 |
3,427 |
3,322 |
3,223 |
14 |
5,468 |
5,229 |
5,008 |
4,802 |
4,611 |
4,432 |
4,265 |
4,108 |
3,962 |
3,824 |
3,695 |
3,573 |
3,459 |
3,351 |
3,249 |
15 |
5,575 |
5,324 |
5,092 |
4,876 |
4,675 |
4,489 |
4,315 |
4,153 |
4,001 |
3,859 |
3,726 |
3,601 |
3,483 |
3,373 |
3,268 |
16 |
5,668 |
5,405 |
5,162 |
4,938 |
4,730 |
4,536 |
4,357 |
4,189 |
4,033 |
3,887 |
3,751 |
3,623 |
3,503 |
3,390 |
3,283 |
17 |
5,749 |
5,475 |
5,222 |
4,990 |
4,775 |
4,576 |
4,391 |
4,219 |
4,059 |
3,910 |
3,771 |
3,640 |
3,518 |
3,403 |
3,295 |
18 |
5,818 |
5,534 |
5,273 |
5,033 |
4,812 |
4,608 |
4,419 |
4,243 |
4,080 |
3,928 |
3,786 |
3,654 |
3,529 |
3,413 |
3,304 |
19 |
5,877 |
5,584 |
5,316 |
5,070 |
4,843 |
4,635 |
4,442 |
4,263 |
4,097 |
3,942 |
3,799 |
3,664 |
3,539 |
3,421 |
3,311 |
20 |
5,929 |
5,628 |
5,353 |
5,101 |
4,870 |
4,657 |
4,460 |
4,279 |
4,110 |
3,954 |
3,808 |
3,673 |
3,546 |
3,427 |
3,316 |
25 |
6,097 |
5,766 |
5,467 |
5,195 |
4,948 |
4,721 |
4,514 |
4,323 |
4,147 |
3,985 |
3,834 |
3,694 |
3,564 |
3,442 |
3,329 |
30 |
6,177 |
5,829 |
5,517 |
5,235 |
4,979 |
4,746 |
4,534 |
4,339 |
4,160 |
3,995 |
3,842 |
3,701 |
3,569 |
3,447 |
3,332 |
40 |
6,233 |
5,871 |
5,548 |
5,258 |
4,997 |
4,759 |
4,544 |
4,347 |
4,166 |
3,999 |
3,846 |
3,703 |
3,571 |
3,448 |
3,333 |
50 |
6,246 |
5,880 |
5,554 |
5,262 |
4,999 |
4,762 |
4,545 |
4,348 |
4,167 |
4,000 |
3,846 |
3,704 |
3,571 |
3,448 |
3,333 |
|