Экономический анализ хозяйственной деятельности

Приложения

Показывать лекцию целиком

Приложение 1

Множители наращения (сложные проценты) $$(Вr, n) = (1 + r)^n$$

n/r 1% 2% 0,03 4% 5% 6% 7% 8% 9% 10% 11% 12% 13% 14% 15% 16% 20% 25% 30% 35%
1 1,01 1,02 1,03 1,040 1,050 1,060 1,070 1,080 1,090 1,100 1,110 1,120 1,13 1,140 1,15 1,16 1,2 1,250 1,300 1,35
2 1,02 1,04 1,061 1,082 1,103 1,124 1,145 1,166 1,188 1,210 1,232 1,254 1,277 1,300 1,323 1,346 1,44 1,563 1,690 1,823
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 1,561 1,728 1,953 2,197 2,46
4 1,041 1,082 1,126 1,17 1,216 1,262 1,311 1,360 1,412 1,464 1,518 1,574 1,63 1,689 1,749 1,811 2,074 2,441 2,856 3,322
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 2,1 2,488 3,052 3,713 4,484
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 2,436 2,986 3,815 4,827 6,053
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 2,826 3,583 4,768 6,275 8,172
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 3,278 4,3 5,960 8,157 11,032
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 3,803 5,160 7,451 10,604 14,894
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 4,411 6,192 9,313 13,786 20,107
11 1,116 1,243 1,384 1,539 1,71 1,898 2,105 2,332 2,580 2,853 3,152 3,479 3,836 4,226 4,652 5,117 7,430 11,642 17,922 27,144
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 5,35 5,936 8,916 14,552 23,298 36,644
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 6,886 10,699 18,190 30,288 49,470
14 1,149 1,319 1,513 1,732 1,98 2,261 2,579 2,937 3,342 3,797 4,310 4,887 5,535 6,261 7,076 7,988 12,839 22,737 39,374 66,784
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 9,266 15,407 28,422 51,186 90,158
16 1,173 1,373 1,605 1,873 2,183 2,54 2,952 3,426 3,970 4,595 5,311 6,130 7,067 8,137 9,358 10,748 18,488 35,527 66,542 121,71
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 10,761 12,468 22,186 44,409 86,504 164,31
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 10,575 12,375 14,463 26,623 55,511 112,455 221,82
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 10,197 12,056 14,232 16,777 31,948 69,389 146,192 299,46
20 1,22 1,486 1,806 2,191 2,653 3,207 3,870 4,661 5,604 6,727 8,062 9,646 11,523 13,743 16,367 19,461 38,338 86,736 190,050 404,27
21 1,232 1,516 1,860 2,279 2,786 3,400 4,141 5,034 6,109 7,400 8,949 10,804 13,021 15,668 18,822 22,574 46,005 108,420 247,065 545,76
22 1,245 1,546 1,916 2,37 2,925 3,604 4,43 5,437 6,659 8,140 9,934 12,100 14,714 17,861 21,645 26,186 55,206 135,525 321,184 736,78
23 1,257 1,577 1,974 2,465 3,072 3,820 4,741 5,871 7,258 8,954 11,026 13,552 16,627 20,362 24,891 30,376 66,247 169,407 417,539 994,6
24 1,270 1,608 2,033 2,563 3,225 4,049 5,072 6,341 7,911 9,850 12,239 15,179 18,788 23,212 28,625 35,236 79,497 211,758 542,801 1 342,7
25 1,282 1,641 2,094 2,666 3,386 4,292 5,427 6,848 8,623 10,835 13,585 17,000 21,231 26,462 32,919 40,874 95,396 264,698 705,641 1 812,7
30 1,348 1,811 2,427 3,243 4,322 5,743 7,612 10,063 13,268 17,449 22,892 29,960 39,116 50,950 66,212 85,850 237,37 807,794 2 619,9 8 128,5
35 1,417 2 2,814 3,946 5,516 7,686 10,677 14,785 20,414 28,102 38,575 52,800 72,069 98,100 133,1 180,3 590,66 2 465,1 9 727,8 36 448
40 1,489 2,208 3,262 4,801 7,040 10,286 14,974 21,725 31,409 45,259 65,001 93,051 132,78 188,88 267,8 378,7 1 469,7 7 523 36 118,8
45 1,565 2,438 3,782 5,841 8,985 13,765 21,002 31,920 48,327 72,890 109,53 163,98 244,64 363,67 538,7 795,4 3 657,2 22 958
50 1,645 2,692 4,384 7,107 11,467 18,420 29,457 46,902 74,358 117,39 184,56 289,0 450,73 700,23 1 083,6 1 670,7 9 100,4 70 062

Приложение 2

Дисконтные множители (сложные проценты) $$(Дr, n) = 1 : (1 + r)^n$$

n\r 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% 11% 12% 13% 14% 15% 16% 20% 25% 30% 35%
1 ,990 ,980 ,971 ,962 ,952 ,943 ,935 ,926 ,917 ,909 ,901 ,893 ,885 ,877 ,870 ,862 ,833 ,800 ,769 ,741
2 ,980 ,961 ,943 ,925 ,907 ,890 ,873 ,857 ,842 ,826 ,812 ,797 ,783 ,769 ,756 ,743 ,694 ,640 ,592 ,549
3 ,971 ,942 ,915 ,889 ,864 ,840 ,816 ,794 ,772 ,751 ,731 ,712 ,693 ,675 ,658 ,641 ,579 ,512 ,455 ,406
4 ,961 ,924 ,888 ,855 ,823 ,792 ,763 ,735 ,708 ,683 ,659 ,636 ,613 ,592 ,572 ,552 ,482 ,410 ,350 ,301
5 ,951 ,906 ,863 ,822 ,784 ,747 ,713 ,681 ,650 ,621 ,593 ,567 ,543 ,519 ,497 ,476 ,402 ,328 ,269 ,223
6 ,942 ,888 ,837 ,790 ,746 ,705 ,666 ,630 ,596 ,564 ,535 ,507 ,480 ,456 ,432 ,410 ,335 ,262 ,207 ,165
7 ,933 ,871 ,813 ,760 ,711 ,665 ,623 ,583 ,547 ,513 ,482 ,452 ,425 ,400 ,376 ,354 ,279 ,210 ,159 ,122
8 ,923 ,853 ,789 ,731 ,677 ,627 ,582 ,540 ,502 ,467 ,434 ,404 ,376 ,351 ,327 ,305 ,233 ,168 ,123 ,091
9 ,914 ,837 ,766 ,703 ,645 ,592 ,544 ,500 ,460 ,424 ,391 ,361 ,333 ,308 ,284 ,263 ,194 ,134 ,094 ,067
10 ,905 ,820 ,744 ,676 ,614 ,558 ,508 ,463 ,422 ,386 ,352 ,322 ,295 ,270 ,247 ,227 ,162 ,107 ,073 ,050
11 ,896 ,804 ,722 ,650 ,585 ,527 ,475 ,429 ,388 ,350 ,317 ,287 ,261 ,237 ,215 ,195 ,135 ,086 ,056 ,037
12 ,887 ,788 ,701 ,625 ,557 ,497 ,444 ,397 ,356 ,319 ,286 ,257 ,231 ,208 ,187 ,168 ,112 ,069 ,043 ,027
13 ,879 ,773 ,681 ,601 ,530 ,469 ,415 ,368 ,326 ,290 ,258 ,229 ,204 ,182 ,163 ,145 ,093 ,055 ,033 ,020
14 ,870 ,758 ,661 ,577 ,505 ,442 ,388 ,340 ,299 ,263 ,232 ,205 ,181 ,160 ,141 ,125 ,078 ,044 ,025 ,015
15 ,861 ,743 ,642 ,555 ,481 ,417 ,362 ,315 ,275 ,239 ,209 ,183 ,160 ,140 ,123 ,108 ,065 ,035 ,020 ,011
16 ,853 ,728 ,623 ,534 ,458 ,394 ,339 ,292 ,252 ,218 ,188 ,163 ,141 ,123 ,107 ,093 ,054 ,028 ,015 ,008
17 ,844 ,714 ,605 ,513 ,436 ,371 ,317 ,270 ,231 ,198 ,170 ,146 ,125 ,108 ,093 ,080 ,045 ,023 ,012 ,006
18 ,836 ,700 ,587 ,494 ,416 ,350 ,296 ,250 ,212 ,180 ,153 ,130 ,111 ,095 ,081 ,069 ,038 ,018 ,009 ,005
19 ,828 ,686 ,570 ,475 ,396 ,331 ,277 ,232 ,194 ,164 ,138 ,116 ,098 ,083 ,070 ,060 ,031 ,014 ,007 ,003
20 ,820 ,673 ,554 ,456 ,377 ,312 ,258 ,215 ,178 ,149 ,124 ,104 ,087 ,073 ,061 ,051 ,026 ,012 ,005 ,002
21 ,811 ,660 ,538 ,439 ,359 ,294 ,242 ,199 ,164 ,135 ,112 ,093 ,077 ,064 ,053 ,044 ,022 ,009 ,004 ,002
22 ,803 ,647 ,522 ,422 ,342 ,278 ,226 ,184 ,150 ,123 ,101 ,083 ,068 ,056 ,046 ,038 ,018 ,007 ,003 ,001
23 ,795 ,634 ,507 ,406 ,326 ,262 ,211 ,170 ,138 ,112 ,091 ,074 ,060 ,049 ,040 ,033 ,015 ,006 ,002 ,001
24 ,788 ,622 ,492 ,390 ,310 ,247 ,197 ,158 ,126 ,102 ,082 ,066 ,053 ,043 ,035 ,028 ,013 ,005 ,002 ,001
25 ,780 ,610 ,478 ,375 ,295 ,233 ,184 ,146 ,116 ,092 ,074 ,059 ,047 ,038 ,030 ,024 ,010 ,004 ,001 ,001
30 ,742 ,552 ,412 ,308 ,231 ,174 ,131 ,099 ,075 ,057 ,044 ,033 ,026 ,020 ,015 ,012 ,004 ,001
35 ,706 ,500 ,355 ,253 ,181 ,130 ,094 ,068 ,049 ,036 ,026 ,019 ,014 ,010 ,008 ,006 ,002
40 ,672 ,453 ,307 ,208 ,142 ,097 ,067 ,046 ,032 ,022 ,015 ,011 ,008 ,005 ,004 ,003 ,001
45 ,639 ,410 ,264 ,171 ,111 ,073 ,048 ,031 ,021 ,014 ,009 ,006 ,004 ,003 ,002 ,001
50 ,608 ,372 ,228 ,141 ,087 ,054 ,034 ,021 ,013 ,009 ,005 ,003 ,002 ,001 ,001 ,001

Приложение 3

Коэффициент наращения годовой ренты $$S_{r, n} = [(1 + r)^n - 1] : r$$

n\r 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% 11% 12% 13% 14% 15% 16% 20% 25% 30% 35%
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 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 2,160 2,200 2,250 2,300 2,350
3 3,030 3,060 3,091 3,122 3,153 3,184 3,215 3,246 3,278 3,310 3,342 3,374 3,407 3,440 3,473 3,506 3,640 3,813 3,990 4,173
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 5,066 5,368 5,766 6,187 6,633
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 6,877 7,442 8,207 9,043 9,954
б 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 8,977 9,930 11,259 12,756 14,438
7 7,214 7,434 7,662 7,898 8,142 8,394 8,654 8,923 9,200 9,487 9,783 10,089 10,405 10,730 11,067 11,414 12,916 15,073 17,583 20,492
8 8,286 8,583 8,892 9,214 9,549 9,897 10,260 10,637 11,028 11,436 11,859 12,300 12,757 13,233 13,727 14,240 16,499 19,842 23,858 28,664
9 9,369 9,755 10,159 10,583 11,027 11,491 11,978 12,488 13,021 13,579 14,164 14,776 15,416 16,085 16,786 17,519 20,799 25,802 32,015 39,696
10 10,462 10,950 11,464 12,006 12,578 13,181 13,816 14,487 15,193 15,937 16,722 17,549 18,42 19,337 20,304 21,321 25,959 33,253 42,619 54,590
11 11,567 12,169 12,808 13,486 14,207 14,972 15,784 16,645 17,560 18,531 19,561 20,655 21,814 23,045 24,349 25,733 32,150 42,566 56,405 74,697
12 12,683 13,412 14,192 15,026 15,917 16,870 17,888 18,977 20,141 21,384 22,713 24,133 25,650 27,271 29,002 30,850 39,581 54,208 74,327 101,84
13 13,809 14,680 15,618 16,627 17,713 18,882 20,141 21,495 22,953 24,523 26,212 28,029 29,985 32,089 34,352 36,786 48,497 68,760 97,625 138,48
14 14,947 15,974 17,086 18,292 19,599 21,015 22,550 24,215 26,019 27,975 30,095 32,393 34,883 37,581 40,505 43,672 59,196 86,949 127,91 187,95
15 16,097 17,293 18,599 20,024 21,579 23,276 25,129 27,152 29,361 31,772 34,405 37,280 40,417 43,842 47,580 51,660 72,035 109,68 167,28 254,73
16 17,258 18,639 20,157 21,825 23,657 25,673 27,888 30,324 33,003 35,950 39,190 42,753 46,672 50,980 55,717 60,925 87,442 138,10 218,47 344,89
17 18,430 20,012 21,762 23,698 25,840 28,213 30,840 33,750 36,974 40,545 44,501 48,884 53,739 59,118 65,075 71,673 105,93 173,63 285,01 466,61
18 19,615 21,412 23,414 25,645 28,132 30,906 33,999 37,450 41,301 45,599 50,396 55,750 61,725 68,394 75,836 84,141 128,11 218,04 371,51 630,92
19 20,811 22,841 25,117 27,671 30,539 33,760 37,379 41,446 46,018 51,159 56,939 63,440 70,749 78,969 88,212 98,603 154,74 273,55 483,97 852,74
20 22,019 24,297 26,870 29,778 33,066 36,786 40,995 45,762 51,160 57,275 64,203 72,052 80,947 91,025 102,44 115,38 186,68 342,94 630,16 1 152,2
21 23,239 25,783 28,676 31,969 35,719 39,993 44,865 50,423 56,765 64,002 72,265 81,699 92,47 104,76 118,81 134,84 225,02 429,68 820,21 1 556,4
22 24,472 27,299 30,537 34,248 38,505 43,392 49,006 55,457 62,873 71,403 81,214 92,503 105,49 120,43 137,63 157,41 271,03 538,10 1 067,2 2 102,2
23 25,716 28,845 32,453 36,618 41,430 46,996 53,436 60,893 69,532 79,543 91,148 104,60 120,20 138,29 159,27 183,60 326,23 673,62 1 388,4 2 839,0
24 26,973 30,422 34,426 39,083 44,502 50,816 58,177 66,765 76,790 88,497 102,17 118,15 136,83 158,65 184,16 213,97 392,48 843,03 1 806,0 3 833,7
25 28,243 32,030 36,459 41,646 47,727 54,865 63,249 73,106 84,701 98,347 114,41 133,33 155,62 181,87 212,79 249,21 471,98 1 054,7 2 348,8 5 176,5
30 34,785 40,568 47,575 56,085 66,439 79,058 94,461 113,28 136,30 164,49 199,02 241,33 293,19 356,78 434,74 530,31 1 181,8 3 227,1 8 729,9 23 221,0
35 41,660 49,994 60,462 73,652 90,320 111,43 138,23 172,31 215,71 271,02 341,59 431,66 546,68 693,57 881,17 1 120,7 2 948,3 9 856,7 32 422,0
40 48,886 60,402 75,401 95,026 120,80 154,76 199,63 259,05 337,88 442,59 581,82 767,09 1 013,7 1 342,0 1 779,0 2 360,7 7 343,8 30 088,0
45 56,481 71,893 92,720 121,029 159,70 212,74 285,74 386,50 525,85 718,9 986,63 1 358,2 1 874,1 2 590,5 3 585,1 4 965,2 18 281 91 831,0
50 64,463 84,579 112,79 152,66 209,34 290,33 406,52 573,77 815,08 1 163,9 1 668,7 2 400,0 3 459,5 4 994,5 7 217,7 10 435 45 497

Приложение 2

Дисконтные множители (сложные проценты) $$(Дr, n) = 1 : (1 + r)^n$$

n\r 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% 11% 12% 13% 14% 15% 16% 20% 25% 30% 35%
1 ,990 ,980 ,971 ,962 ,952 ,943 ,935 ,926 ,917 ,909 ,901 ,893 ,885 ,877 ,870 ,862 ,833 ,800 ,769 ,741
2 ,980 ,961 ,943 ,925 ,907 ,890 ,873 ,857 ,842 ,826 ,812 ,797 ,783 ,769 ,756 ,743 ,694 ,640 ,592 ,549
3 ,971 ,942 ,915 ,889 ,864 ,840 ,816 ,794 ,772 ,751 ,731 ,712 ,693 ,675 ,658 ,641 ,579 ,512 ,455 ,406
4 ,961 ,924 ,888 ,855 ,823 ,792 ,763 ,735 ,708 ,683 ,659 ,636 ,613 ,592 ,572 ,552 ,482 ,410 ,350 ,301
5 ,951 ,906 ,863 ,822 ,784 ,747 ,713 ,681 ,650 ,621 ,593 ,567 ,543 ,519 ,497 ,476 ,402 ,328 ,269 ,223
6 ,942 ,888 ,837 ,790 ,746 ,705 ,666 ,630 ,596 ,564 ,535 ,507 ,480 ,456 ,432 ,410 ,335 ,262 ,207 ,165
7 ,933 ,871 ,813 ,760 ,711 ,665 ,623 ,583 ,547 ,513 ,482 ,452 ,425 ,400 ,376 ,354 ,279 ,210 ,159 ,122
8 ,923 ,853 ,789 ,731 ,677 ,627 ,582 ,540 ,502 ,467 ,434 ,404 ,376 ,351 ,327 ,305 ,233 ,168 ,123 ,091
9 ,914 ,837 ,766 ,703 ,645 ,592 ,544 ,500 ,460 ,424 ,391 ,361 ,333 ,308 ,284 ,263 ,194 ,134 ,094 ,067
10 ,905 ,820 ,744 ,676 ,614 ,558 ,508 ,463 ,422 ,386 ,352 ,322 ,295 ,270 ,247 ,227 ,162 ,107 ,073 ,050
11 ,896 ,804 ,722 ,650 ,585 ,527 ,475 ,429 ,388 ,350 ,317 ,287 ,261 ,237 ,215 ,195 ,135 ,086 ,056 ,037
12 ,887 ,788 ,701 ,625 ,557 ,497 ,444 ,397 ,356 ,319 ,286 ,257 ,231 ,208 ,187 ,168 ,112 ,069 ,043 ,027
13 ,879 ,773 ,681 ,601 ,530 ,469 ,415 ,368 ,326 ,290 ,258 ,229 ,204 ,182 ,163 ,145 ,093 ,055 ,033 ,020
14 ,870 ,758 ,661 ,577 ,505 ,442 ,388 ,340 ,299 ,263 ,232 ,205 ,181 ,160 ,141 ,125 ,078 ,044 ,025 ,015
15 ,861 ,743 ,642 ,555 ,481 ,417 ,362 ,315 ,275 ,239 ,209 ,183 ,160 ,140 ,123 ,108 ,065 ,035 ,020 ,011
16 ,853 ,728 ,623 ,534 ,458 ,394 ,339 ,292 ,252 ,218 ,188 ,163 ,141 ,123 ,107 ,093 ,054 ,028 ,015 ,008
17 ,844 ,714 ,605 ,513 ,436 ,371 ,317 ,270 ,231 ,198 ,170 ,146 ,125 ,108 ,093 ,080 ,045 ,023 ,012 ,006
18 ,836 ,700 ,587 ,494 ,416 ,350 ,296 ,250 ,212 ,180 ,153 ,130 ,111 ,095 ,081 ,069 ,038 ,018 ,009 ,005
19 ,828 ,686 ,570 ,475 ,396 ,331 ,277 ,232 ,194 ,164 ,138 ,116 ,098 ,083 ,070 ,060 ,031 ,014 ,007 ,003
20 ,820 ,673 ,554 ,456 ,377 ,312 ,258 ,215 ,178 ,149 ,124 ,104 ,087 ,073 ,061 ,051 ,026 ,012 ,005 ,002
21 ,811 ,660 ,538 ,439 ,359 ,294 ,242 ,199 ,164 ,135 ,112 ,093 ,077 ,064 ,053 ,044 ,022 ,009 ,004 ,002
22 ,803 ,647 ,522 ,422 ,342 ,278 ,226 ,184 ,150 ,123 ,101 ,083 ,068 ,056 ,046 ,038 ,018 ,007 ,003 ,001
23 ,795 ,634 ,507 ,406 ,326 ,262 ,211 ,170 ,138 ,112 ,091 ,074 ,060 ,049 ,040 ,033 ,015 ,006 ,002 ,001
24 ,788 ,622 ,492 ,390 ,310 ,247 ,197 ,158 ,126 ,102 ,082 ,066 ,053 ,043 ,035 ,028 ,013 ,005 ,002 ,001
25 ,780 ,610 ,478 ,375 ,295 ,233 ,184 ,146 ,116 ,092 ,074 ,059 ,047 ,038 ,030 ,024 ,010 ,004 ,001 ,001
30 ,742 ,552 ,412 ,308 ,231 ,174 ,131 ,099 ,075 ,057 ,044 ,033 ,026 ,020 ,015 ,012 ,004 ,001
35 ,706 ,500 ,355 ,253 ,181 ,130 ,094 ,068 ,049 ,036 ,026 ,019 ,014 ,010 ,008 ,006 ,002
40 ,672 ,453 ,307 ,208 ,142 ,097 ,067 ,046 ,032 ,022 ,015 ,011 ,008 ,005 ,004 ,003 ,001
45 ,639 ,410 ,264 ,171 ,111 ,073 ,048 ,031 ,021 ,014 ,009 ,006 ,004 ,003 ,002 ,001
50 ,608 ,372 ,228 ,141 ,087 ,054 ,034 ,021 ,013 ,009 ,005 ,003 ,002 ,001 ,001 ,001

Приложение 3

Коэффициент наращения годовой ренты $$S_{r, n} = [(1 + r)^n - 1] : r$$

n\r 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% 11% 12% 13% 14% 15% 16% 20% 25% 30% 35%
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 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 2,160 2,200 2,250 2,300 2,350
3 3,030 3,060 3,091 3,122 3,153 3,184 3,215 3,246 3,278 3,310 3,342 3,374 3,407 3,440 3,473 3,506 3,640 3,813 3,990 4,173
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 5,066 5,368 5,766 6,187 6,633
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 6,877 7,442 8,207 9,043 9,954
б 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 8,977 9,930 11,259 12,756 14,438
7 7,214 7,434 7,662 7,898 8,142 8,394 8,654 8,923 9,200 9,487 9,783 10,089 10,405 10,730 11,067 11,414 12,916 15,073 17,583 20,492
8 8,286 8,583 8,892 9,214 9,549 9,897 10,260 10,637 11,028 11,436 11,859 12,300 12,757 13,233 13,727 14,240 16,499 19,842 23,858 28,664
9 9,369 9,755 10,159 10,583 11,027 11,491 11,978 12,488 13,021 13,579 14,164 14,776 15,416 16,085 16,786 17,519 20,799 25,802 32,015 39,696
10 10,462 10,950 11,464 12,006 12,578 13,181 13,816 14,487 15,193 15,937 16,722 17,549 18,42 19,337 20,304 21,321 25,959 33,253 42,619 54,590
11 11,567 12,169 12,808 13,486 14,207 14,972 15,784 16,645 17,560 18,531 19,561 20,655 21,814 23,045 24,349 25,733 32,150 42,566 56,405 74,697
12 12,683 13,412 14,192 15,026 15,917 16,870 17,888 18,977 20,141 21,384 22,713 24,133 25,650 27,271 29,002 30,850 39,581 54,208 74,327 101,84
13 13,809 14,680 15,618 16,627 17,713 18,882 20,141 21,495 22,953 24,523 26,212 28,029 29,985 32,089 34,352 36,786 48,497 68,760 97,625 138,48
14 14,947 15,974 17,086 18,292 19,599 21,015 22,550 24,215 26,019 27,975 30,095 32,393 34,883 37,581 40,505 43,672 59,196 86,949 127,91 187,95
15 16,097 17,293 18,599 20,024 21,579 23,276 25,129 27,152 29,361 31,772 34,405 37,280 40,417 43,842 47,580 51,660 72,035 109,68 167,28 254,73
16 17,258 18,639 20,157 21,825 23,657 25,673 27,888 30,324 33,003 35,950 39,190 42,753 46,672 50,980 55,717 60,925 87,442 138,10 218,47 344,89
17 18,430 20,012 21,762 23,698 25,840 28,213 30,840 33,750 36,974 40,545 44,501 48,884 53,739 59,118 65,075 71,673 105,93 173,63 285,01 466,61
18 19,615 21,412 23,414 25,645 28,132 30,906 33,999 37,450 41,301 45,599 50,396 55,750 61,725 68,394 75,836 84,141 128,11 218,04 371,51 630,92
19 20,811 22,841 25,117 27,671 30,539 33,760 37,379 41,446 46,018 51,159 56,939 63,440 70,749 78,969 88,212 98,603 154,74 273,55 483,97 852,74
20 22,019 24,297 26,870 29,778 33,066 36,786 40,995 45,762 51,160 57,275 64,203 72,052 80,947 91,025 102,44 115,38 186,68 342,94 630,16 1 152,2
21 23,239 25,783 28,676 31,969 35,719 39,993 44,865 50,423 56,765 64,002 72,265 81,699 92,47 104,76 118,81 134,84 225,02 429,68 820,21 1 556,4
22 24,472 27,299 30,537 34,248 38,505 43,392 49,006 55,457 62,873 71,403 81,214 92,503 105,49 120,43 137,63 157,41 271,03 538,10 1 067,2 2 102,2
23 25,716 28,845 32,453 36,618 41,430 46,996 53,436 60,893 69,532 79,543 91,148 104,60 120,20 138,29 159,27 183,60 326,23 673,62 1 388,4 2 839,0
24 26,973 30,422 34,426 39,083 44,502 50,816 58,177 66,765 76,790 88,497 102,17 118,15 136,83 158,65 184,16 213,97 392,48 843,03 1 806,0 3 833,7
25 28,243 32,030 36,459 41,646 47,727 54,865 63,249 73,106 84,701 98,347 114,41 133,33 155,62 181,87 212,79 249,21 471,98 1 054,7 2 348,8 5 176,5
30 34,785 40,568 47,575 56,085 66,439 79,058 94,461 113,28 136,30 164,49 199,02 241,33 293,19 356,78 434,74 530,31 1 181,8 3 227,1 8 729,9 23 221,0
35 41,660 49,994 60,462 73,652 90,320 111,43 138,23 172,31 215,71 271,02 341,59 431,66 546,68 693,57 881,17 1 120,7 2 948,3 9 856,7 32 422,0
40 48,886 60,402 75,401 95,026 120,80 154,76 199,63 259,05 337,88 442,59 581,82 767,09 1 013,7 1 342,0 1 779,0 2 360,7 7 343,8 30 088,0
45 56,481 71,893 92,720 121,029 159,70 212,74 285,74 386,50 525,85 718,9 986,63 1 358,2 1 874,1 2 590,5 3 585,1 4 965,2 18 281 91 831,0
50 64,463 84,579 112,79 152,66 209,34 290,33 406,52 573,77 815,08 1 163,9 1 668,7 2 400,0 3 459,5 4 994,5 7 217,7 10 435 45 497

Приложение 4

Коэффициент приведения годовой ренты $$\alpha_{r, n} = [1 - (1 + r)^{-n}] : r$$

n\r 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% 11% 12% 13% 14% 15% 16% 20% 25% 30% 35%
1 0,990 0,980 0,971 0,962 0,952 0,943 0,935 0,926 0,917 0,909 0,901 0,893 0,885 0,877 0,870 0,862 0,833 0,800 0,769 0,741
2 1,97 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 1,605 1,528 1,440 1,361 1,289
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 2,246 2,106 1,952 1,816 1,696
4 3,902 3,808 3,717 3,63 3,546 3,465 3,387 3,312 3,240 3,170 3,102 3,037 2,974 2,914 2,855 2,798 2,589 2,362 2,166 1,997
5 4,853 4,713 4,58 4,452 4,329 4,212 4,1 3,993 3,890 3,791 3,696 3,605 3,517 3,433 3,352 3,274 2,991 2,689 2,436 2,220
б 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 3,685 3,326 2,951 2,643 2,385
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 4,16 4,039 3,605 3,161 2,802 2,508
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 4,344 3,837 3,329 2,925 2,598
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 4,607 4,031 3,463 3,019 2,665
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 4,833 4,192 3,571 3,092 2,715
11 10,368 9,787 9,253 8,76 8,306 7,887 7,499 7,139 6,805 6,495 6,207 5,938 5,687 5,453 5,234 5,029 4,327 3,656 3,147 2,752
12 11,255 10,575 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 5,197 4,439 3,725 3,190 2,779
13 12,134 11,348 10,635 9,986 9,394 8,853 8,358 7,904 7,487 7,103 6,750 6,424 6,122 5,842 5,583 5,342 4,533 3,780 3,223 2,799
14 13,004 12,106 11,296 10,563 9,899 9,295 8,745 8,244 7,786 7,367 6,982 6,628 6,302 6,002 5,724 5,468 4,611 3,824 3,249 2,814
15 13,865 12,849 11,938 11,118 10,38 9,712 9,108 8,559 8,061 7,606 7,191 6,811 6,462 6,142 5,847 5,575 4,675 3,859 3,268 2,825
16 14,718 13,578 12,561 11,652 10,838 10,106 9,447 8,851 8,313 7,824 7,379 6,974 6,604 6,265 5,954 5,668 4,730 3,887 3,283 2,834
17 15,562 14,292 13,166 12,166 11,274 10,477 9,763 9,122 8,544 8,022 7,549 7,120 6,729 6,373 6,047 5,749 4,775 3,910 3,295 2,840
18 16,398 14,992 13,754 12,659 11,69 10,828 10,059 9,372 8,756 8,201 7,702 7,250 6,840 6,467 6,128 5,818 4,812 3,928 3,304 2,844
19 17,226 15,678 14,324 13,134 12,085 11,158 10,336 9,604 8,950 8,365 7,839 7,366 6,938 6,550 6,198 5,877 4,843 3,942 3,311 2,848
20 18,046 16,351 14,877 13,59 12,462 11,47 10,594 9,818 9,129 8,514 7,963 7,469 7,025 6,623 6,259 5,929 4,87 3,954 3,316 2,85
21 18,857 17,011 15,415 14,029 12,821 11,764 10,836 10,017 9,292 8,649 8,075 7,562 7,102 6,687 6,312 5,973 4,891 3,963 3,320 2,852
22 19,66 17,658 15,937 14,451 13,163 12,042 11,061 10,201 9,442 8,772 8,176 7,645 7,17 6,743 6,359 6,011 4,909 3,970 3,323 2,853
23 20,456 18,292 16,444 14,857 13,489 12,303 11,272 10,371 9,580 8,883 8,266 7,718 7,230 6,792 6,399 6,044 4,925 3,976 3,325 2,854
24 21,243 18,914 16,936 15,247 13,799 12,550 11,469 10,529 9,707 8,985 8,348 7,784 7,283 6,835 6,434 6,073 4,937 3,981 3,327 2,855
25 22,023 19,523 17,413 15,622 14,094 12,783 11,654 10,675 9,823 9,077 8,422 7,843 7,33 6,873 6,464 6,097 4,948 3,985 3,329 2,856
30 25,808 22,396 19,600 17,292 15,372 13,765 12,409 11,258 10,274 9,427 8,694 8,055 7,496 7,003 6,566 6,177 4,979 3,995 3,332 2,857
35 29,409 24,999 21,487 18,665 16,374 14,498 12,948 11,655 10,567 9,644 8,855 8,176 7,586 7,070 6,617 6,215 4,992 3,998 3,333 2,857
40 32,835 27,355 23,115 19,793 17,159 15,046 13,332 11,925 10,757 9,779 8,951 8,244 7,634 7,105 6,642 6,233 4,997 3,999 3,333 2,857
45 36,095 29,490 24,519 20,720 17,774 15,456 13,606 12,108 10,881 9,863 9,008 8,283 7,661 7,123 6,654 6,242 4,999 4,000 3,333 2,857
50 39,196 31,424 25,730 21,482 18,256 15,762 13,801 12,233 10,962 9,915 9,042 8,304 7,675 7,133 6,661 6,246 4,999 4,000 3,333 2,857
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