Ю. Ю. Галямов Кандидат экономических наук, профессор, зав каф. «Экономическая теория»
Вид материала | Учебное пособие |
СодержаниеБудущая стоимость единичного аннуитета |
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год | 12% | 14% | 15% | 16% | 18% | 20% | 24% | 28% | 32% | 36% |
1 | 1,12 | 1,14 | 1,15 | 1,16 | 1,18 | 1,2 | 1,24 | 1,28 | 1,32 | 1,36 |
2 | 1,2544 | 1,2996 | 1,3225 | 1,3456 | 1,3924 | 1,44 | 1,5376 | 1,6384 | 1,7424 | 1,8496 |
3 | 1,404928 | 1,481544 | 1,520875 | 1,560896 | 1,643032 | 1,728 | 1,906624 | 2,097152 | 2,299968 | 2,515456 |
4 | 1,573519 | 1,68896 | 1,749006 | 1,810639 | 1,938778 | 2,0736 | 2,364214 | 2,684355 | 3,035958 | 3,42102 |
5 | 1,762342 | 1,925415 | 2,011357 | 2,100342 | 2,287758 | 2,48832 | 2,931625 | 3,435974 | 4,007464 | 4,652587 |
6 | 1,973823 | 2,194973 | 2,313061 | 2,436396 | 2,699554 | 2,985984 | 3,635215 | 4,398047 | 5,289853 | 6,327519 |
7 | 2,210681 | 2,502269 | 2,66002 | 2,82622 | 3,185474 | 3,583181 | 4,507667 | 5,6295 | 6,982606 | 8,605426 |
8 | 2,475963 | 2,852586 | 3,059023 | 3,278415 | 3,758859 | 4,299817 | 5,589507 | 7,205759 | 9,21704 | 11,70338 |
9 | 2,773079 | 3,251949 | 3,517876 | 3,802961 | 4,435454 | 5,15978 | 6,930988 | 9,223372 | 12,16649 | 15,9166 |
10 | 3,105848 | 3,707221 | 4,045558 | 4,411435 | 5,233836 | 6,191736 | 8,594426 | 11,80592 | 16,05977 | 21,64657 |
11 | 3,47855 | 4,226232 | 4,652391 | 5,117265 | 6,175926 | 7,430084 | 10,65709 | 15,11157 | 21,1989 | 29,43933 |
12 | 3,895976 | 4,817905 | 5,35025 | 5,936027 | 7,287593 | 8,9161 | 13,21479 | 19,34281 | 27,98254 | 40,0375 |
13 | 4,363493 | 5,492411 | 6,152788 | 6,885791 | 8,599359 | 10,69932 | 16,38634 | 24,7588 | 36,93696 | 54,45099 |
14 | 4,887112 | 6,261349 | 7,075706 | 7,987518 | 10,14724 | 12,83918 | 20,31906 | 31,69127 | 48,75678 | 74,05335 |
15 | 5,473566 | 7,137938 | 8,137062 | 9,265521 | 11,97375 | 15,40702 | 25,19563 | 40,56482 | 64,35895 | 100,7126 |
16 | 6,130394 | 8,137249 | 9,357621 | 10,748 | 14,12902 | 18,48843 | 31,24259 | 51,92297 | 84,95382 | 136,9691 |
17 | 6,866041 | 9,276464 | 10,76126 | 12,46768 | 16,67225 | 22,18611 | 38,74081 | 66,4614 | 112,139 | 186,2779 |
18 | 7,689966 | 10,57517 | 12,37545 | 14,46251 | 19,67325 | 26,62333 | 48,0386 | 85,07059 | 148,0235 | 253,338 |
19 | 8,612762 | 12,05569 | 14,23177 | 16,77652 | 23,21444 | 31,948 | 59,56786 | 108,8904 | 195,3911 | 344,5397 |
20 | 9,646293 | 13,74349 | 16,36654 | 19,46076 | 27,39303 | 38,3376 | 73,86415 | 139,3797 | 257,9162 | 468,574 |
21 | 10,80385 | 15,66758 | 18,82152 | 22,57448 | 32,32378 | 46,00512 | 91,59155 | 178,406 | 340,4494 | 637,2606 |
22 | 12,10031 | 17,86104 | 21,64475 | 26,1864 | 38,14206 | 55,20614 | 113,5735 | 228,3596 | 449,3932 | 866,6744 |
23 | 13,55235 | 20,36158 | 24,89146 | 30,37622 | 45,00763 | 66,24737 | 140,8312 | 292,3003 | 593,199 | 1178,677 |
24 | 15,17863 | 23,21221 | 28,62518 | 35,23642 | 53,10901 | 79,49685 | 174,6306 | 374,1444 | 783,0227 | 1603,001 |
25 | 17,00006 | 26,46192 | 32,91895 | 40,87424 | 62,66863 | 95,39622 | 216,542 | 478,9049 | 1033,59 | 2180,081 |
26 | 19,04007 | 30,16658 | 37,8568 | 47,41412 | 73,94898 | 114,4755 | 268,5121 | 612,9982 | 1364,339 | 2964,911 |
год | 1% | 2% | 3% | 4% | 5% | 6% | 7% | 8% | 9% | 10% |
27 | 21,32488 | 34,38991 | 43,53531 | 55,00038 | 87,2598 | 137,3706 | 332,955 | 784,6377 | 1800,927 | 4032,279 |
28 | 23,88387 | 39,20449 | 50,06561 | 63,80044 | 102,9666 | 164,8447 | 412,8642 | 1004,336 | 2377,224 | 5483,899 |
29 | 26,74993 | 44,69312 | 57,57545 | 74,00851 | 121,5005 | 197,8136 | 511,9516 | 1285,55 | 3137,935 | 7458,102 |
30 | 29,95992 | 50,95016 | 66,21177 | 85,84988 | 143,3706 | 237,3763 | 634,8199 | 1645,505 | 4142,075 | 10143,02 |
40 | 93,05097 | 188,8835 | 267,8635 | 378,7212 | 750,3783 | 1469,772 | 5455,913 | 19426,69 | 66520,77 | |
50 | 289,0022 | 700,233 | 1083,657 | 1670,704 | 3927,357 | 9100,438 | 46890,43 | | | |
60 | 897,5969 | 2595,919 | 4383,999 | 7370,201 | 20555,14 | 56347,51 | | | | |
Будущая стоимость единичного аннуитета
(начисление процентов ежегодно). FVA = ((1+i)n - 1) / i
год | 1% | 2% | 3% | 4% | 5% | 6% | 7% | 8% | 9% | 10% |
1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
2 | 2,01 | 2,02 | 2,03 | 2,04 | 2,05 | 2,06 | 2,07 | 2,08 | 2,09 | 2,1 |
3 | 3,0301 | 3,0604 | 3,0909 | 3,1216 | 3,1525 | 3,1836 | 3,2149 | 3,2464 | 3,2781 | 3,31 |
4 | 4,060401 | 4,121608 | 4,183627 | 4,246464 | 4,310125 | 4,374616 | 4,439943 | 4,506112 | 4,573129 | 4,641 |
5 | 5,101005 | 5,20404 | 5,309136 | 5,416323 | 5,525631 | 5,637093 | 5,750739 | 5,866601 | 5,984711 | 6,1051 |
6 | 6,152015 | 6,308121 | 6,46841 | 6,632975 | 6,801913 | 6,975319 | 7,153291 | 7,335929 | 7,523335 | 7,71561 |
7 | 7,213535 | 7,434283 | 7,662462 | 7,898294 | 8,142008 | 8,393838 | 8,654021 | 8,922803 | 9,200435 | 9,487171 |
8 | 8,285671 | 8,582969 | 8,892336 | 9,214226 | 9,549109 | 9,897468 | 10,2598 | 10,63663 | 11,02847 | 11,43589 |
9 | 9,368527 | 9,754628 | 10,15911 | 10,5828 | 11,02656 | 11,49132 | 11,97799 | 12,48756 | 13,02104 | 13,57948 |
10 | 10,46221 | 10,94972 | 11,46388 | 12,00611 | 12,57789 | 13,18079 | 13,81645 | 14,48656 | 15,19293 | 15,93742 |
11 | 11,56683 | 12,16872 | 12,8078 | 13,48635 | 14,20679 | 14,97164 | 15,7836 | 16,64549 | 17,56029 | 18,53117 |
12 | 12,6825 | 13,41209 | 14,19203 | 15,02581 | 15,91713 | 16,86994 | 17,88845 | 18,97713 | 20,14072 | 21,38428 |
13 | 13,80933 | 14,68033 | 15,61779 | 16,62684 | 17,71298 | 18,88214 | 20,14064 | 21,4953 | 22,95338 | 24,52271 |
14 | 14,94742 | 15,97394 | 17,08632 | 18,29191 | 19,59863 | 21,01507 | 22,55049 | 24,21492 | 26,01919 | 27,97498 |
15 | 16,0969 | 17,29342 | 18,59891 | 20,02359 | 21,57856 | 23,27597 | 25,12902 | 27,15211 | 29,36092 | 31,77248 |
16 | 17,25786 | 18,63929 | 20,15688 | 21,82453 | 23,65749 | 25,67253 | 27,88805 | 30,32428 | 33,0034 | 35,94973 |
17 | 18,43044 | 20,01207 | 21,76159 | 23,69751 | 25,84037 | 28,21288 | 30,84022 | 33,75023 | 36,9737 | 40,5447 |
18 | 19,61475 | 21,41231 | 23,41444 | 25,64541 | 28,13238 | 30,90565 | 33,99903 | 37,45024 | 41,30134 | 45,59917 |
19 | 20,8109 | 22,84056 | 25,11687 | 27,67123 | 30,539 | 33,75999 | 37,37896 | 41,44626 | 46,01846 | 51,15909 |
20 | 22,019 | 24,29737 | 26,87037 | 29,77808 | 33,06595 | 36,78559 | 40,99549 | 45,76196 | 51,16012 | 57,275 |
21 | 23,23919 | 25,78332 | 28,67649 | 31,9692 | 35,71925 | 39,99273 | 44,86518 | 50,42292 | 56,76453 | 64,0025 |
22 | 24,47159 | 27,29898 | 30,53678 | 34,24797 | 38,50521 | 43,39229 | 49,00574 | 55,45676 | 62,87334 | 71,40275 |
23 | 25,7163 | 28,84496 | 32,45288 | 36,61789 | 41,43048 | 46,99583 | 53,43614 | 60,8933 | 69,53194 | 79,54302 |
24 | 26,97346 | 30,42186 | 34,42647 | 39,0826 | 44,502 | 50,81558 | 58,17667 | 66,76476 | 76,78981 | 88,49733 |
25 | 28,2432 | 32,0303 | 36,45926 | 41,64591 | 47,7271 | 54,86451 | 63,24904 | 73,10594 | 84,7009 | 98,34706 |
26 | 29,52563 | 33,67091 | 38,55304 | 44,31174 | 51,11345 | 59,15638 | 68,67647 | 79,95442 | 93,32398 | 109,1818 |
27 | 30,82089 | 35,34432 | 40,70963 | 47,08421 | 54,66913 | 63,70577 | 74,48382 | 87,35077 | 102,7231 | 121,0999 |
28 | 32,1291 | 37,05121 | 42,93092 | 49,96758 | 58,40258 | 68,52811 | 80,69769 | 95,33883 | 112,9682 | 134,2099 |
29 | 33,45039 | 38,79223 | 45,21885 | 52,96629 | 62,32271 | 73,6398 | 87,34653 | 103,9659 | 124,1354 | 148,6309 |
год | 1% | 2% | 3% | 4% | 5% | 6% | 7% | 8% | 9% | 10% |
30 | 34,78489 | 40,56808 | 47,57542 | 56,08494 | 66,43885 | 79,05819 | 94,46079 | 113,2832 | 136,3075 | 164,494 |
40 | 48,88637 | 60,40198 | 75,40126 | 95,02552 | 120,7998 | 154,762 | 199,6351 | 259,0565 | 337,8824 | 442,5926 |
50 | 64,46318 | 84,5794 | 112,7969 | 152,6671 | 209,348 | 290,3359 | 406,5289 | 573,7702 | 815,0836 | 1163,909 |
60 | 81,66967 | 114,0515 | 163,0534 | 237,9907 | 353,5837 | 533,1282 | 813,5204 | 1253,213 | 1944,792 | 3034,816 |
год | 12% | 14% | 15% | 16% | 18% | 20% | 24% | 28% | 32% | 36% |
1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
2 | 2,12 | 2,14 | 2,15 | 2,16 | 2,18 | 2,2 | 2,24 | 2,28 | 2,32 | 2,36 |
3 | 3,3744 | 3,4396 | 3,4725 | 3,5056 | 3,5724 | 3,64 | 3,7776 | 3,9184 | 4,0624 | 4,2096 |
4 | 4,779328 | 4,921144 | 4,993375 | 5,066496 | 5,215432 | 5,368 | 5,684224 | 6,015552 | 6,362368 | 6,725056 |
5 | 6,352847 | 6,610104 | 6,742381 | 6,877135 | 7,15421 | 7,4416 | 8,048438 | 8,699907 | 9,398326 | 10,14608 |
6 | 8,115189 | 8,535519 | 8,753738 | 8,977477 | 9,441968 | 9,92992 | 10,98006 | 12,13588 | 13,40579 | 14,79866 |
7 | 10,08901 | 10,73049 | 11,0668 | 11,41387 | 12,14152 | 12,9159 | 14,61528 | 16,53393 | 18,69564 | 21,12618 |
8 | 12,29969 | 13,23276 | 13,72682 | 14,24009 | 15,327 | 16,49908 | 19,12294 | 22,16343 | 25,67825 | 29,73161 |
9 | 14,77566 | 16,08535 | 16,78584 | 17,51851 | 19,08585 | 20,7989 | 24,71245 | 29,36919 | 34,89529 | 41,43499 |
10 | 17,54874 | 19,3373 | 20,30372 | 21,32147 | 23,52131 | 25,95868 | 31,64344 | 38,59256 | 47,06178 | 57,35158 |
11 | 20,65458 | 23,04452 | 24,34928 | 25,7329 | 28,75514 | 32,15042 | 40,23787 | 50,39847 | 63,12155 | 78,99815 |
12 | 24,13313 | 27,27075 | 29,00167 | 30,85017 | 34,93107 | 39,5805 | 50,89495 | 65,51005 | 84,32045 | 108,4375 |
13 | 28,02911 | 32,08865 | 34,35192 | 36,7862 | 42,21866 | 48,4966 | 64,10974 | 84,85286 | 112,303 | 148,475 |
14 | 32,3926 | 37,58107 | 40,50471 | 43,67199 | 50,81802 | 59,19592 | 80,49608 | 109,6117 | 149,2399 | 202,926 |
15 | 37,27971 | 43,84241 | 47,58041 | 51,65951 | 60,96527 | 72,03511 | 100,8151 | 141,3029 | 197,9967 | 276,9793 |
16 | 42,75328 | 50,98035 | 55,71747 | 60,92503 | 72,93901 | 87,44213 | 126,0108 | 181,8677 | 262,3557 | 377,6919 |
17 | 48,88367 | 59,1176 | 65,07509 | 71,67303 | 87,06804 | 105,9306 | 157,2534 | 233,7907 | 347,3095 | 514,661 |
18 | 55,74971 | 68,39407 | 75,83636 | 84,14072 | 103,7403 | 128,1167 | 195,9942 | 300,2521 | 459,4485 | 700,9389 |
19 | 63,43968 | 78,96923 | 88,21181 | 98,60323 | 123,4135 | 154,74 | 244,0328 | 385,3227 | 607,4721 | 954,2769 |
20 | 72,05244 | 91,02493 | 102,4436 | 115,3797 | 146,628 | 186,688 | 303,6006 | 494,2131 | 802,8631 | 1298,817 |
21 | 81,69874 | 104,7684 | 118,8101 | 134,8405 | 174,021 | 225,0256 | 377,4648 | 633,5927 | 1060,779 | 1767,391 |
22 | 92,50258 | 120,436 | 137,6316 | 157,415 | 206,3448 | 271,0307 | 469,0563 | 811,9987 | 1401,229 | 2404,651 |
23 | 104,6029 | 138,297 | 159,2764 | 183,6014 | 244,4868 | 326,2369 | 582,6298 | 1040,358 | 1850,622 | 3271,326 |
24 | 118,1552 | 158,6586 | 184,1678 | 213,9776 | 289,4945 | 392,4842 | 723,461 | 1332,659 | 2443,821 | 4450,003 |
25 | 133,3339 | 181,8708 | 212,793 | 249,214 | 342,6035 | 471,9811 | 898,0916 | 1706,803 | 3226,844 | 6053,004 |
26 | 150,3339 | 208,3327 | 245,712 | 290,0883 | 405,2721 | 567,3773 | 1114,634 | 2185,708 | 4260,434 | 8233,085 |
27 | 169,374 | 238,4993 | 283,5688 | 337,5024 | 479,2211 | 681,8528 | 1383,146 | 2798,706 | 5624,772 | 11198 |
28 | 190,6989 | 272,8892 | 327,1041 | 392,5028 | 566,4809 | 819,2233 | 1716,101 | 3583,344 | 7425,699 | 15230,27 |
год | 12% | 14% | 15% | 16% | 18% | 20% | 24% | 28% | 32% | 36% |
29 | 214,5828 | 312,0937 | 377,1697 | 456,3032 | 669,4475 | 984,068 | 2128,965 | 4587,68 | 9802,923 | 20714,17 |
30 | 241,3327 | 356,7868 | 434,7451 | 530,3117 | 790,948 | 1181,882 | 2640,916 | 5873,231 | 12940,86 | 28172,28 |
40 | 767,0914 | 1342,025 | 1779,09 | 2360,757 | 4163,213 | 7343,858 | 22728,8 | 69377,46 | | |
50 | 2400,018 | 4994,521 | 7217,716 | 10435,65 | 21813,09 | 45497,19 | | | | |
60 | 7471,641 | 18535,13 | 29219,99 | 46057,51 | | | | | | |