Берёзкин Ю.М. - Финансовый менеджмент в вопросах и задачах, страница 33
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Суммарные коэффициенты наращивания аннуитета
M3(r, n) (при доходности r и n периодах)
Пери-од | 1% | 2% | 3% | 4% | 5% | 6% | 7% | 8% | 9% | 10% |
1 | 1.0000 | 1.0000 | 1.0000 | 1.0000 | 1.0000 | 1.0000 | 1.0000 | 1.0000 | 1.0000 | 1.0000 |
2 | 2.0100 | 2.0200 | 2.0300 | 2.0400 | 2.0500 | 2.0600 | 2.0700 | 2.0800 | 2.0900 | 2.1000 |
3 | 3.0301 | 3.0604 | 3.0909 | 3.1216 | 3.1525 | 3.1836 | 3.2149 | 3.2464 | 3.2781 | 3.3100 |
4 | 4.0604 | 4.1216 | 4.1836 | 4.2465 | 4.3101 | 4.3746 | 4.4399 | 4.5061 | 4.5731 | 4.6410 |
5 | 5.1010 | 5.2040 | 5.3091 | 5.4163 | 5.5256 | 5.6371 | 5.7507 | 5.8666 | 5.9847 | 6.1051 |
6 | 6.1520 | 6.3081 | 6.4684 | 6.6330 | 6.8019 | 6.9753 | 7.1533 | 7.3359 | 7.5233 | 7.7156 |
7 | 7.2135 | 7.4343 | 7.6625 | 7.8983 | 8.1420 | 8.3938 | 8.6540 | 8.9228 | 9.2004 | 9.4872 |
8 | 8.2857 | 8.5830 | 8.8923 | 9.2142 | 9.5491 | 9.8975 | 10.260 | 10.637 | 11.028 | 11.436 |
9 | 9.3685 | 9.7546 | 10.159 | 10.583 | 11.027 | 11.491 | 11.978 | 12.488 | 13.021 | 13.579 |
10 | 10.462 | 10.950 | 11.464 | 12.006 | 12.578 | 13.181 | 13.816 | 14.487 | 15.193 | 15.937 |
11 | 11.567 | 12.169 | 12.808 | 13.486 | 14.207 | 14.972 | 15.784 | 16.645 | 17.560 | 18.531 |
12 | 12.683 | 13.412 | 14.192 | 15.026 | 15.917 | 16.870 | 17.888 | 18.977 | 20.141 | 21.384 |
13 | 13.809 | 14.680 | 15.618 | 16.627 | 17.713 | 18.882 | 20.141 | 21.495 | 22.953 | 24.523 |
14 | 14.947 | 15.974 | 17.086 | 18.292 | 19.599 | 21.015 | 22.550 | 24.215 | 26.019 | 27.975 |
15 | 16.097 | 17.293 | 18.599 | 20.024 | 21.579 | 23.276 | 25.129 | 27.152 | 29.361 | 31.772 |
16 | 17.258 | 18.639 | 20.157 | 21.825 | 23.657 | 25.673 | 27.888 | 30.324 | 33.003 | 35.950 |
17 | 18.430 | 20.012 | 21.762 | 23.698 | 25.840 | 28.213 | 30.840 | 33.750 | 36.974 | 40.545 |
18 | 19.615 | 21.412 | 23.414 | 25.645 | 28.132 | 30.906 | 33.999 | 37.450 | 41.301 | 45.599 |
19 | 20.811 | 22.841 | 25.117 | 27.671 | 30.539 | 33.760 | 37.379 | 41.446 | 46.018 | 51.159 |
20 | 22.019 | 24.297 | 26.870 | 29.778 | 33.066 | 36.786 | 40.995 | 45.762 | 51.160 | 57.275 |
21 | 23.239 | 25.783 | 28.676 | 31.969 | 35.719 | 39.993 | 44.865 | 50.423 | 56.765 | 64.002 |
22 | 24.472 | 27.299 | 30.537 | 34.248 | 38.505 | 43.392 | 49.006 | 55.457 | 62.873 | 71.403 |
23 | 25.716 | 28.845 | 32.453 | 36.618 | 41.430 | 46.996 | 53.436 | 60.893 | 69.532 | 79.543 |
24 | 26.973 | 30.422 | 34.426 | 39.083 | 44.502 | 50.816 | 58.177 | 66.765 | 76.790 | 88.497 |
25 | 28.243 | 32.030 | 36.459 | 41.646 | 47.727 | 54.865 | 63.249 | 73.106 | 84.701 | 98.347 |
26 | 29.526 | 33.671 | 38.553 | 44.312 | 51.113 | 59.156 | 68.676 | 79.954 | 93.324 | 109.18 |
27 | 30.821 | 35.344 | 40.710 | 47.084 | 54.669 | 63.706 | 74.484 | 87.351 | 102.72 | 121.10 |
28 | 32.129 | 37.051 | 42.931 | 49.968 | 58.403 | 68.528 | 80.698 | 95.339 | 112.97 | 134.21 |
29 | 33.450 | 38.792 | 45.219 | 52.966 | 62.323 | 73.640 | 87.347 | 103.97 | 124.14 | 148.63 |
30 | 34.785 | 40.568 | 47.575 | 56.085 | 66.439 | 79.058 | 94.461 | 113.28 | 136.31 | 164.49 |
40 | 48.886 | 60.402 | 75.401 | 95.026 | 120.80 | 154.76 | 199.64 | 259.06 | 337.88 | 442.59 |
50 | 64.463 | 84.579 | 112.80 | 152.67 | 209.35 | 290.34 | 406.53 | 573.77 | 815.08 | 1163.9 |
60 | 81.670 | 114.05 | 163.05 | 237.99 | 353.58 | 533:13 | 813.52 | 1253.2 | 1944.8 | 3034.8 |
Окончание таблицы 4
Пери-од | 12% | 14% | 15% | 16% | 18% | 20% | 24% | 28% | 32% | 36% |
1 | 1.0000 | 1.0000 | 1.0000 | 1.0000 | 1.0000 | 1.0000 | 1.0000 | 1.0000 | 1.0000 | 1.0000 |
2 | 2.1200 | 2.1400 | 2.1500 | 2.1600 | 2.1800 | 2.2000 | 2.2400 | 2.2800 | 2.3200 | 2.3600 |
3 | 3.3744 | 3.4396 | 3.4725 | 3.5056 | 3.5724 | 3.6400 | 3.7776 | 3.9184 | 4.0624 | 4.2096 |
4 | 4.7793 | 4.9211 | 4.9934 | 5.0665 | 5.2154 | 5.3680 | 5.6842 | 6.0156 | 6.3624 | 6.7251 |
5 | 6.3528 | 6.6101 | 6.7424 | 6.8771 | 7.1542 | 7.4416 | 8.0484 | 8.6999 | 9.3983 | 10.146 |
6 | 8.1152 | 8.5355 | 8.7537 | 8.9775 | 9.4420 | 9.9299 | 10.980 | 12.136 | 13.406 | 14.799 |
7 | 10.089 | 10.730 | 11.067 | 11.414 | 12.142 | 12.916 | 14.615 | 16.534 | 18.696 | 21.126 |
8 | 12.300 | 13.233 | 13.727 | 14.240 | 15.327 | 16.499 | 19.123 | 22.163 | 25.678 | 29.732 |
9 | 14.776 | 16.085 | 16.786 | 17.519 | 19.086 | 20.799 | 24.712 | 29.369 | 34.895 | 41.435 |
10 | 17.549 | 19.337 | 20.304 | 21.321 | 23.521 | 25.959 | 31.643 | 38.593 | 47.062 | 57.352 |
11 | 20.655 | 23.045 | 24.349 | 25.733 | 28.755 | 32.150 | 40.238 | 50.398 | 63.122 | 78.998 |
12 | 24.133 | 27.271 | 29.002 | 30.850 | 34.931 | 39.581 | 50.895 | 65.510 | 84.320 | 108.44 |
13 | 28.029 | 32.089 | 34.352 | 36.786 | 42.219 | 48.497 | 64.110 | 84.853 | 112.30 | 148.47 |
14 | 32.393 | 37.581 | 40.505 | 43.672 | 50.818 | 59.196 | 80.496 | 109.61 | 149.24 | 202.93 |
15 | 37.280 | 43.842 | 47.580 | 51.660 | 60.965 | 72.035 | 100.82 | 141.30 | 198.00 | 276.98 |
16 | 42.753 | 50.980 | 55.717 | 60.925 | 72.939 | 87.442 | 126.01 | 181.87 | 262.36 | 377.69 |
17 | 48.884 | 59.118 | 65.075 | 71.673 | 87.068 | 105.93 | 157.25 | 233.79 | 347.31 | 514.66 |
18 | 55.750 | 68.394 | 75.836 | 84.141 | 103.74 | 128.12 | 195.99 | 300.25 | 459.45 | 700.94 |
19 | 63.440 | 78.969 | 88.212 | 98.603 | 123.41 | 154.74 | 244.03 | 385.32 | 607.47 | 954.28 |
20 | 72.052 | 91.025 | 102.44 | 115.38 | 146.63 | 186.69 | 303.60 | 494.21 | 802.86 | 1298.8 |
21 | 81.699 | 104.77 | 118.81 | 134.84 | 174.02 | 225.03 | 377.46 | 633.59 | 1060.8 | 1767.4 |
22 | 92.503 | 120.44 | 137.63 | 157.41 | 206.34 | 271.03 | 469.06 | 812.00 | 1401.2 | 2404.7 |
23 | 104.60 | 138.30 | 159.28 | 183.60 | 244.49 | 326.24 | 582.63 | 1040.4 | 1850.6 | 3271.3 |
24 | 118.16 | 158.66 | 184.17 | 213.98 | 289.49 | 392.48 | 723.46 | 1332.7 | 2443.8 | 4450.0 |
25 | 133.33 | 181.87 | 212.79 | 249.21 | 342.60 | 471.98 | 898.09 | 1706.8 | 3226.8 | 6053.0 |
26 | 150.33 | 208.33 | 245.71 | 290.09 | 405.27 | 567.38 | 1114.6 | 2185.7 | 4260.4 | 8233.1 |
27 | 169.37 | 238.50 | 283.57 | 337.50 | 479.22 | 681.85 | 1383.1 | 2798.7 | 5624.8 | 11198.0 |
28 | 190.70 | 272.89 | 327.10 | 392.50 | 566.48 | 819.22 | 1716.1 | 3583.3 | 7425.7 | 15230.3 |
29 | 214.58 | 312.09 | 377.17 | 456.30 | 669.45 | 984.07 | 2129.0 | 4587.7 | 9802.9 | 20714.2 |
30 | 241.33 | 356.79 | 434.75 | 530.31 | 790.95 | 1181.9 | 2640.9 | 5873.2 | 12941 | 28172.3 |
40 | 767.09 | 1342.0 | 1779.1 | 2360.8 | 4163.2 | 7343.9 | 22729 | 69377 | * | * |
50 | 2400.0 | 4994.5 | 7217.7 | 10436 | 21813 | 45497 | * | * | * | * |
60 | 7471.6 | 18535 | 29220 | 46058 | * | * | * | * | * |
Юрий Михайлович Берёзкин
доктор экономических наук