- •0605010204-079
- •Предисловие
- •Глава 1 потоки платежей
- •§ 1.1. Потоки платежей и аннуитеты — информационная база финансового анализа
- •§ 1.2. Обобщающие параметры потоков платежей
- •§ 1.3. Расчет обобщающих параметров непрерывных рент
- •§1.4. Эквивалентные потоки платежей
- •§1.5. Определение доходности на основе потока платежей
- •§ 1.6. Современная стоимость потока платежей с учетом риска
- •Глава 2 модели износа оборудования
- •§ 2.1. Износ оборудования и методы определения сумм амортизации
- •§ 2.2. Линейная модель
- •§ 2.3. Нелинейные методы без начисления процентов на суммы амортизации
- •§ 2.4. Нелинейные методы с начислением процентов на суммы амортизации
- •§ 2.5. Налог на имущество и выбор модели износа
- •§ 2.6. Математическое приложение
- •Глава 3 определение барьерных значений экономических показателей
- •М. Булгаков § 3.1. Общая постановка задачи. Линейная модель
- •§ 3.2. Нелинейные модели
- •§ 3.3. Барьерные точки для налоговых ставок
- •§ 3.4. Положение барьерных точек при неопределенности в исходных данных
- •§ 3.5. Барьерные точки объемов производства, финансовый подход к их определению
- •§ 3.6. Математическое приложение
- •Глава 4 диверсификация и риск
- •§4.1. Риск
- •§ 4.2. Диверсификация инвестиций и дисперсия дохода
- •§ 4.3. Минимизация дисперсии дохода
- •§4.4. Математическое приложение
- •Глава 5 измерители эффективности капиталовложений. Чистый приведенный доход
- •§ 5.1. Характеристики эффективности производственных инвестиций
- •§ 5.2. Чистый приведенный доход
- •§ 5.3. Свойства чистого приведенного дохода
- •§5.4. Математическое приложение
- •Глава 6 измерители эффективности капиталовложений: внутренняя норма доходности и другие характеристики
- •§ 6.1. Внутренняя норма доходности
- •§ 6.2. Срок окупаемости
- •§ 6.3. Индекс доходности
- •§ 6.4. Соотношения относительных измерителей эффективности
- •§ 6.5. Сравнение результатов оценки эффективности
- •§ 6.6. Дополнительные измерители эффективности
- •§ 6.7. Моделирование инвестиционного процесса
- •§ 6.8. Анализ отзывчивости
- •§ 6.9. Математическое приложение
- •Глава 7 лизинг: расчет платежей
- •§ 7.1. Финансовый и оперативный лизинг
- •§ 7.2. Схемы погашения задолженности по лизинговому контракту
- •§ 7.3. Методы расчета регулярных лизинговых платежей
- •Регулярные платежи (метод а)
- •Регулярные постоянные платежи (метод б)
- •§ 7.4. Нерегулярные платежи
- •§ 7.5. Факторы, влияющие на размеры лизинговых платежей
- •Глава 8 интервальное экспертное прогнозирование
- •§ 8.1. Основные элементы методики
- •§ 8.2. Методы определения интервальных прогнозов
- •Методика а. Расчет интервального прогноза отдельной характеристики
- •Методика б. Прогноз суммы показателей
- •Методика в. Прогноз произведения двух параметров
- •§ 8.3. Математическое приложение
- •Приложение Коэффициенты наращения дискретных рент
- •Коэффициенты приведения дискретных рент
- •Коэффициенты приведения непрерывных рент
- •Значения функции стандартного нормального распределения
Коэффициенты приведения дискретных рент
Таблица 2
|
Число пер-в n |
Ставка процентов, % | |||||
|
1 |
2 |
3 |
4 |
5 |
6 | |
|
1 |
0,9900990 |
0,9803922 |
0,9708738 |
0,9615385 |
0,9523810 |
0,9433962 |
|
2 |
1,9703951 |
1,9415609 |
1,9134697 |
1,8860947 |
1,8594104 |
1,8333927 |
|
3 |
2,9409852 |
2,8838833 |
2,8286114 |
2,7750910 |
2,7232480 |
2,6730119 |
|
4 |
3,9019656 |
3,8077287 |
3,7170984 |
3,6298952 |
3,5459505 |
3,4651056 |
|
5 |
4,8534312 |
4,7134595 |
4,5797072 |
4,4518223 |
4,3294767 |
4,2123638 |
|
6 |
5,7954765 |
5,6014309 |
5,4171914 |
5,2421369 |
5,0756921 |
4,9173243 |
|
7 |
6,7281945 |
6,4719911 |
6,2302830 |
6,0020547 |
5,7863734 |
5,5823814 |
|
8 |
7,6516778 |
7,3254814 |
7,0196922 |
6,7327449 |
6,4632128 |
6,2097938 |
|
9 |
8,5660176 |
8,1622367 |
7,7861089 |
7,4353316 |
7,1078217 |
6,8016923 |
|
10 |
9,4713045 |
8,9825850 |
8,5302028 |
8,1108958 |
7,7217349 |
7,3600871 |
|
11 |
10,3676282 |
9,7868480 |
9,2526241 |
8,7604767 |
8,3064142 |
7,8868746 |
|
12 |
11,2550775 |
10,5753412 |
9,9540040 |
9,3850738 |
8,8632516 |
8,3838439 |
|
13 |
12,1337401 |
11,3483737 |
10,6349553 |
9,9856478 |
9,3935730 |
8,8526830 |
|
14 |
13,0037030 |
12,1062488 |
11,2960731 |
10,5631229 |
9,8986409 |
9,2949839 |
|
15 |
13,8650525 |
12,8492635 |
11,9379351 |
11,1183874 |
10,3796580 |
9,7122490 |
|
16 |
14,7178738 |
13,5777093 |
12,5611020 |
11,6522956 |
10,8377696 |
10,1058953 |
|
17 |
15,5622513 |
14,2918719 |
13,1661185 |
12,1656689 |
11,2740662 |
10,4772597 |
|
18 |
16,3982686 |
14,9920313 |
13,7535131 |
12,6592970 |
11,6895869 |
10,8276035 |
|
19 |
17,2260085 |
15,6784620 |
14,3237991 |
13,1339394 |
12,0853209 |
11,1581165 |
|
20 |
18,0455530 |
16,3514333 |
14,8774749 |
13,5903263 |
12,4622103 |
11,4699212 |
|
21 |
18,8569831 |
17,0112092 |
15,4150241 |
14,0291599 |
12,8211527 |
11,7640766 |
|
22 |
19,6603793 |
17,6580482 |
15,9369166 |
14,4511153 |
13,1630026 |
12,0415817 |
|
23 |
20,4558211 |
18,2922041 |
16,4436084 |
14,8568417 |
13,4885739 |
12,3033790 |
|
24 |
21,2433873 |
18,9139256 |
16,9355421 |
15,2469631 |
13,7986418 |
12,5503575 |
|
25 |
22,0231557 |
19,5234565 |
17,4131477 |
15,6220799 |
14,0939446 |
12,7833562 |
|
26 |
22,7952037 |
20,1210358 |
17,8768424 |
15,9827692 |
14,3751853 |
13,0031662 |
Продолжение табл. 2
|
Число пер-в n |
Ставка процентов, % | |||||
|
1 |
2 |
3 |
4 |
5 |
6 | |
|
27 |
23,5596076 |
20,7068978 |
18,3270315 |
16,3295857 |
14,6430336 |
13,2105341 |
|
28 |
24,3164432 |
21,2812724 |
18,7641082 |
16,6630632 |
14,8981273 |
13,4061643 |
|
29 |
25,0657853 |
21,8443847 |
19,1884546 |
16,9837146 |
15,1410736 |
13,5907210 |
|
30 |
25,8077082 |
22,3964556 |
19,6004413 |
17,2920333 |
15,3724510 |
13,7648312 |
|
31 |
26,5422854 |
22,9377015 |
20,0004285 |
17,5884936 |
15,5928105 |
13,9290860 |
|
32 |
27,2695895 |
23,4683348 |
20,3887655 |
17,8735515 |
15,8026767 |
14,0840434 |
|
33 |
27,9896925 |
23,9885636 |
20,7657918 |
18,1476457 |
16,0025492 |
14,2302296 |
|
34 |
28,7026659 |
24,4985917 |
21,1318367 |
18,4111978 |
16,1929040 |
14,3681411 |
|
35 |
29,4085801 |
24,9986193 |
21,4872201 |
18,6646132 |
16,3741943 |
14,4982464 |
|
36 |
30,1075050 |
25,4888425 |
21,8322525 |
18,9082820 |
16,5468517 |
14,6209871 |
|
37 |
30,7995099 |
25,9694534 |
22,1672354 |
19,1425788 |
16,7112873 |
14,7367803 |
|
38 |
31,4846633 |
26,4406406 |
22,4924616 |
19,3678642 |
16,8678927 |
14,8460192 |
|
39 |
32,1630330 |
26,9025888 |
22,8082151 |
19,5844848 |
17,0170407 |
14,9490747 |
|
40 |
32,8346861 |
27,3554792 |
23,1147720 |
19,7927739 |
17,1590864 |
15,0462969 |
|
41 |
33,4996892 |
27,7994895 |
23,4124000 |
19,9930518 |
17,2943680 |
15,1380159 |
|
42 |
34,1581081 |
28,2347936 |
23,7013592 |
20,1856267 |
17,4232076 |
15,2245433 |
|
43 |
34,8100081 |
28,6615623 |
23,9819021 |
20,3707949 |
17,5459120 |
15,3061729 |
|
44 |
35,4554535 |
29,0799631 |
24,2542739 |
20,5488413 |
17,6627733 |
15,3831820 |
|
45 |
36,0945084 |
29,4901599 |
24,5187125 |
20,7200397 |
17,7740698 |
15,4558321 |
|
46 |
36,7272361 |
29,8923136 |
24,7754491 |
20,8846536 |
17,8800665 |
15,5243699 |
|
47 |
37,3536991 |
30,2865820 |
25,0247078 |
21,0429361 |
17,9810157 |
15,5890282 |
|
48 |
37,9739595 |
30,6731196 |
25,2667066 |
21,1951309 |
18,0771578 |
15,6500266 |
|
49 |
38,5880787 |
31,0520780 |
25,5016569 |
21,3414720 |
18,1687217 |
15,7075723 |
|
50 |
39,1961175 |
31,4236059 |
25,7297640 |
21,4821846 |
18,2559255 |
15,7618606 |
Продолжение табл. 2
|
Число пер-в n |
Ставка процентов, % | |||||
|
7 |
8 |
9 |
10 |
11 |
12 | |
|
1 |
0,9345794 |
0,9259259 |
0,9174312 |
0,9090909 |
0,9009009 |
0,8928571 |
|
2 |
1,8080182 |
1,7832647 |
1,7591112 |
1,7355372 |
1,7125233 |
1,6900510 |
|
3 |
2,6243160 |
2,5770970 |
2,5312947 |
2,4868520 |
2,4437147 |
2,4018313 |
|
4 |
3,3872113 |
3,3121268 |
3,2397199 |
3,1698654 |
3,1024457 |
3,0373493 |
|
5 |
4,1001974 |
3,9927100 |
3,8896513 |
3,7907868 |
3,6958970 |
3,6047762 |
|
6 |
4,7665397 |
4,6228797 |
4,4859186 |
4,3552607 |
4,2305379 |
4,1114073 |
|
7 |
5,3892894 |
5,2063701 |
5,0329528 |
4,8684188 |
4,7121963 |
4,5637565 |
|
8 |
5,9712985 |
5,7466389 |
5,5348191 |
5,3349262 |
5,1461228 |
4,9676398 |
|
9 |
6,5152322 |
6,2468879 |
5,9952469 |
5,7590238 |
5,5370475 |
5,3282498 |
|
10 |
7,0235815 |
6,7100814 |
6,4176577 |
6,1445671 |
5,8892320 |
5,6502230 |
|
11 |
7,4986743 |
7,1389643 |
6,8051906 |
6,4950610 |
6,2065153 |
5,9376991 |
|
12 |
7,9426863 |
7,5360780 |
7,1607253 |
6,8136918 |
6,4923561 |
6,1943742 |
|
13 |
8,3576507 |
7,9037759 |
7,4869039 |
7,1033562 |
6,7498704 |
6,4235484 |
|
14 |
8,7454680 |
8,2442370 |
7,7861504 |
7,3666875 |
6,9818652 |
6,6281682 |
|
15 |
9,1079140 |
8,5594787 |
8,0606884 |
7,6060795 |
7,1908696 |
6,8108645 |
|
16 |
9,4466486 |
8,8513692 |
8,3125582 |
7,8237086 |
7,3791618 |
6,9739862 |
|
17 |
9,7632230 |
9,1216381 |
8,5436314 |
8,0215533 |
7,5487944 |
7,1196305 |
|
18 |
10,0590869 |
9,3718871 |
8,7556251 |
8,2014121 |
7,7016166 |
7,2496701 |
|
19 |
10,3355952 |
9,6035992 |
8,9501148 |
8,3649201 |
7,8392942 |
7,3657769 |
|
20 |
10,5940142 |
9,8181474 |
9,1285457 |
8,5135637 |
7,9633281 |
7,4694436 |
|
21 |
10,8355273 |
10,0168032 |
9,2922437 |
8,6486943 |
8,0750704 |
7,5620032 |
|
22 |
11,0612405 |
10,2007437 |
9,4424254 |
8,7715403 |
8,1757391 |
7,6446457 |
|
23 |
11,2721874 |
10,3710589 |
9,5802068 |
8,8832184 |
8,2664316 |
7,7184337 |
|
24 |
11,4693340 |
10,5287583 |
9,7066118 |
8,9847440 |
8,3481366 |
7,7843158 |
|
25 |
11,6535832 |
10,6747762 |
9,8225796 |
9,0770400 |
8,4217447 |
7,8431391 |
|
26 |
11,8257787 |
10,8099780 |
9,9289721 |
9,1609455 |
8,4880583 |
7,8956599 |
|
27 |
11,9867090 |
10,9351648 |
10,0265799 |
9,2372232 |
8,5478002 |
7,9425535 |
|
28 |
12,1371113 |
11,0510785 |
10,1161284 |
9,3065665 |
8,6016218 |
7,9844228 |
|
29 |
12,2776741 |
11,1584060 |
10,1982829 |
9,3696059 |
8,6501098 |
8,0218060 |
|
30 |
12,4090412 |
11,2577833 |
10,2736540 |
9,4269145 |
8,6937926 |
8,0551840 |
|
31 |
12,5318142 |
11,3497994 |
10,3428019 |
9,4790132 |
8,7331465 |
8,0849857 |
Продолжение табл. 2
|
Число пер-в n |
Ставка процентов, % | |||||
|
7 |
8 |
9 |
10 |
11 |
12 | |
|
32 |
12,6465553 |
11,4349994 |
10,4062403 |
9,5263756 |
8,7686004 |
8,1115944 |
|
33 |
12,7537900 |
11,5138884 |
10,4644406 |
9,5694324 |
8,8005409 |
8,1353521 |
|
34 |
12,8540094 |
11,5869337 |
10,5178354 |
9,6085749 |
8,8293161 |
8,1565644 |
|
35 |
12,9476723 |
11,6545682 |
10,5668215 |
9,6441590 |
8,8552398 |
8,1755039 |
|
36 |
13,0352078 |
11,7171928 |
10,6117628 |
9,6765082 |
8,8785944 |
8,1924142 |
|
37 |
13,1170166 |
11,7751785 |
10,6529934 |
9,7059165 |
8,8996346 |
8,2075127 |
|
38 |
13,1934735 |
11,8288690 |
10,6908196 |
9,7326514 |
8,9185897 |
8,2209935 |
|
39 |
13,2649285 |
11,8785824 |
10,7255226 |
9,7569558 |
8,9356664 |
8,2330299 |
|
40 |
13,3317088 |
11,9246133 |
10,7573602 |
9,7790507 |
8,9510508 |
8,2437767 |
|
41 |
13,3941204 |
11,9672346 |
10,7865690 |
9,7991370 |
8,9649106 |
8,2533720 |
|
42 |
13,4524490 |
12,0066987 |
10,8133660 |
9,8173973 |
8,9773970 |
8,2619393 |
|
43 |
13,5069617 |
12,0432395 |
10,8379505 |
9,8339975 |
8,9886459 |
8,2695887 |
|
44 |
13,5579081 |
12,0770736 |
10,8605050 |
9,8490887 |
8,9987801 |
8,2764185 |
|
45 |
13,6055216 |
12,1084015 |
10,8811973 |
9,8628079 |
9,0079100 |
8,2825165 |
|
46 |
13,6500202 |
12,1374088 |
10,9001810 |
9,8752799 |
9,0161351 |
8,2879611 |
|
47 |
13,6916076 |
12,1642674 |
10,9175972 |
9,8866181 |
9,0235452 |
8,2928225 |
|
48 |
13,7304744 |
12,1891365 |
10,9335755 |
9,8969255 |
9,0302209 |
8,2971629 |
|
49 |
13,7667985 |
12,2121634 |
10,9482344 |
9,9062959 |
9,0362350 |
8,3010383 |
|
50 |
13,8007463 |
12,2334846 |
10,9616829 |
9,9148145 |
9,0416532 |
8,3044985 |
Продолжение табл. 2
|
Число пер-в n |
Ставка процентов, % | |||||
|
13 |
14 |
15 |
18 |
20 |
25 | |
|
1 |
0,8849558 |
0,8771930 |
0,8695652 |
0,8474576 |
0,8333333 |
0,8000000 |
|
2 |
1,6681024 |
1,6466605 |
1,6257089 |
1,5656421 |
1,5277778 |
1,4400000 |
|
3 |
2,3611526 |
2,3216320 |
2,2832251 |
2,1742729 |
2,1064815 |
1,9520000 |
|
4 |
2,9744713 |
2,9137123 |
2,8549784 |
2,6900618 |
2,5887346 |
2,3616000 |
|
5 |
3,5172313 |
3,4330810 |
3,3521551 |
3,1271710 |
2,9906121 |
2,6892800 |
Продолжение табл. 2
|
Число пер-в n |
Ставка процентов, % | |||||
|
13 |
14 |
15 |
18 |
20 |
25 | |
|
6 |
3,9975498 |
3,8886675 |
3,7844827 |
3,4976026 |
3,3255101 |
2,9514240 |
|
7 |
4,4226104 |
4,2883048 |
4,1604197 |
3,8115276 |
3,6045918 |
3,1611392 |
|
8 |
4,7987703 |
4,6388639 |
4,4873215 |
4,0775658 |
3,8371598 |
3,3289114 |
|
9 |
5,1316551 |
4,9463718 |
4,7715839 |
4,3030218 |
4,0309665 |
3,4631291 |
|
10 |
5,4262435 |
5,2161156 |
5,0187686 |
4,4940863 |
4,1924721 |
3,5705033 |
|
11 |
5,6869411 |
5,4527330 |
5,2337118 |
4,6560053 |
4,3270601 |
3,6564026 |
|
12 |
5,9176470 |
5,6602921 |
5,4206190 |
4,7932249 |
4,4392167 |
3,7251221 |
|
13 |
6,1218115 |
5,8423615 |
5,5831470 |
4,9095126 |
4,5326806 |
3,7800977 |
|
14 |
6,3024881 |
6,0020715 |
5,7244756 |
5,0080615 |
4,6105672 |
3,8240781 |
|
15 |
6,4623788 |
6,1421680 |
5,8473701 |
5,0915776 |
4,6754726 |
3,8592625 |
|
16 |
6,6038751 |
6,2650596 |
5,9542349 |
5,1623539 |
4,7295605 |
3,8874100 |
|
17 |
6,7290930 |
6,3728593 |
6,0471608 |
5,2223338 |
4,7746338 |
3,9099280 |
|
18 |
6,8399053 |
6,4674205 |
6,1279659 |
5,2731642 |
4,8121948 |
3,9279424 |
|
19 |
6,9379693 |
6,5503688 |
6,1982312 |
5,3162409 |
4,8434957 |
3,9423539 |
|
20 |
7,0247516 |
6,6231306 |
6,2593315 |
5,3527465 |
4,8695797 |
3,9538831 |
|
21 |
7,1015501 |
6,6869566 |
6,3124622 |
5,3836835 |
4,8913164 |
3,9631065 |
|
22 |
7,1695133 |
6,7429444 |
6,3586627 |
5,4099012 |
4,9094304 |
3,9704852 |
|
23 |
7,2296578 |
6,7920565 |
6,3988372 |
5,4321197 |
4,9245253 |
3,9763882 |
|
24 |
7,2828830 |
6,8351373 |
6,4337714 |
5,4509489 |
4,9371044 |
3,9811105 |
|
25 |
7,3299850 |
6,8729274 |
6,4641491 |
5,4669058 |
4,9475870 |
3,9848884 |
|
26 |
7,3716681 |
6,9060767 |
6,4905644 |
5,4804287 |
4,9563225 |
3,9879107 |
|
27 |
7,4085559 |
6,9351550 |
6,5135343 |
5,4918887 |
4,9636021 |
3,9903286 |
|
28 |
7,4411999 |
6,9606623 |
6,5335081 |
5,5016006 |
4,9696684 |
3,9922629 |
|
29 |
7,4700884 |
6,9830371 |
6,5508766 |
5,5098310 |
4,9747237 |
3,9938103 |
|
30 |
7,4956534 |
7,0026641 |
6,5659796 |
5,5168060 |
4,9789364 |
3,9950482 |
|
31 |
7,5182774 |
7,0198808 |
6,5791127 |
5,5227169 |
4,9824470 |
3,9960386 |
|
32 |
7,5382986 |
7,0349832 |
6,5905328 |
5,5277262 |
4,9853725 |
3,9968309 |
|
33 |
7,5560164 |
7,0482308 |
6,6004633 |
5,5319713 |
4,9878104 |
3,9974647 |
|
34 |
7,5716960 |
7,0598516 |
6,6090985 |
5,5355689 |
4,9898420 |
3,9979718 |
|
35 |
7,5855716 |
7,0700453 |
6,6166074 |
5,5386177 |
4,9915350 |
3,9983774 |
|
36 |
7,5978510 |
7,0789871 |
6,6231369 |
5,5412015 |
4,9929458 |
3,9987019 |
Продолжение табл. 2
|
Число пер-в n |
Ставка процентов, % | |||||
|
13 |
14 |
15 |
18 |
20 |
25 | |
|
37 |
7,6087177 |
7,0868308 |
6,6288147 |
5,5433911 |
4,9941215 |
3,9989615 |
|
38 |
7,6183343 |
7,0937112 |
6,6337519 |
5,5452467 |
4,9951013 |
3,9991692 |
|
39 |
7,6268445 |
7,0997467 |
6,6380451 |
5,5468192 |
4,9959177 |
3,9993354 |
|
40 |
7,6343756 |
7,1050409 |
6,6417784 |
5,5481519 |
4,9965981 |
3,9994683 |
|
41 |
7,6410404 |
7,1096850 |
6,6450247 |
5,5492813 |
4,9971651 |
3,9995746 |
|
42 |
7,6469384 |
7,1137588 |
6,6478475 |
5,5502384 |
4,9976376 |
3,9996597 |
|
43 |
7,6521579 |
7,1173323 |
6,6503022 |
5,5510495 |
4,9980313 |
3,9997278 |
|
44 |
7,6567769 |
7,1204669 |
6,6524367 |
5,5517368 |
4,9983594 |
3,9997822 |
|
45 |
7,6608645 |
7,1232166 |
6,6542928 |
5,5523193 |
4,9986329 |
3,9998258 |
|
46 |
7,6644819 |
7,1256286 |
6,6559068 |
5,5528130 |
4,9988607 |
3,9998606 |
|
47 |
7,6676831 |
7,1277444 |
6,6573102 |
5,5532314 |
4,9990506 |
3,9998885 |
|
48 |
7,6705160 |
7,1296003 |
6,6585306 |
5,5535859 |
4,9992088 |
3,9999108 |
|
49 |
7,6730230 |
7,1312284 |
6,6595919 |
5,5538864 |
4,9993407 |
3,9999286 |
|
50 |
7,6752416 |
7,1326565 |
6,6605147 |
5,5541410 |
4,9994506 |
3,9999429 |
Таблица 3 Коэффициенты наращения непрерывных рент(*стр. 235, проверить по первоисточнику)
|
Число пер-в n |
Сила роста, % | |||||
|
1 |
2 |
3 |
4 |
5 |
6 | |
|
1 |
1,0050167 |
1,0100670 |
1,0151511 |
1,0202694 |
1,0254219 |
1,0306091 |
|
2 |
2,0201340 |
2,0405387 |
2,0612182 |
2,0821767 |
2,1034184 |
2,1249475 |
|
3 |
3,0454534 |
3,0918273 |
3,1391428 |
3,1874213 |
3,2366849 |
3,2869561 |
|
4 |
4,0810774 |
4,1643534 |
4,2498951 |
4,3377718 |
4,4280552 |
4,5208192 |
|
5 |
5,1271096 |
5,2585459 |
5,3944748 |
5,5350690 |
5,6805283* |
5,8309801 |
|
6 |
6,1836547 |
6,3748426 |
6,5739121 |
6,7812288 |
6,9971762 |
7,2221569 |
|
7 |
7,2508181 |
7,5136899 |
7,7892687 |
8,0782453 |
8,3813510 |
8,6993593 |
|
8 |
8,3287068 |
8,6755435 |
9,0416383 |
9,4281941 |
9,8364940 |
10,2679067 |
|
9 |
9,4174284 |
9,8608682 |
10,3321484 |
10,8332354 |
11,3662437 |
11,9334477 |
|
10 |
10,5170918 |
11,0701379 |
11,6619603 |
12,2956174 |
12,9744254 |
13,7019800 |
|
11 |
11,6278070 |
12,3038365 |
13,0322709 |
13,8176805 |
14,6650604 |
15,5798722 |
|
12 |
12,7496852 |
13,5624575 |
14,4443138 |
15,4018601 |
16,4423760 |
17,5738868 |
|
13 |
13,8828383 |
14,8465043 |
15,8993598 |
17,0506912 |
18,3108166 |
19,6912044 |
|
14 |
15,0273799 |
16,1564906 |
17,3987185 |
18,7668125 |
20,2750541 |
21,9394496 |
|
15 |
16,1834243 |
17,4929404 |
18,9437395 |
20,5529700 |
22,3400003 |
24,3267185 |
|
16 |
17,3510871 |
18,8563882 |
20,5358134 |
22,4120220 |
24,5108186 |
26,8616079 |
|
17 |
18,5304851 |
20,2473795 |
22,1763732 |
24,3469433 |
26,7929370 |
29,5532461 |
|
18 |
19,7217363 |
21,6664707 |
23,8668954 |
26,3608303 |
29,1920622 |
32,4113259 |
|
19 |
20,9249598 |
23,1142295 |
25,6089017 |
28,4569055 |
31,7141932 |
35,4461394 |
|
20 |
22,1402758 |
24,5912349 |
27,4039600 |
30,6385232 |
34,3656366 |
38,6686154 |
|
21 |
23,3678060 |
26,0980778 |
29,2536860 |
32,9091744 |
37,1530224 |
42,0903581 |
|
22 |
24,6076731 |
27,6353609 |
31,1597445 |
35,2724927 |
40,0833205 |
45,7236896 |
|
23 |
25,8600010 |
29,2036992 |
33,1238511 |
37,7322597 |
43,1638582 |
49,5816938 |
|
24 |
27,1249150 |
30,8037201 |
35,1477737 |
40,2924118 |
46,4023385 |
53,6782636 |
|
25 |
28,4025417 |
32,4360635 |
37,2333339 |
42,9570457 |
49,8068591 |
58,0281512 |
|
26 |
29,6930087 |
34,1013825 |
39,3824088 |
45,7304254 |
53,3859334 |
62,6470208 |
|
27 |
30,9964451 |
35,8003431 |
41,5969329 |
48,6169888 |
57,1485106 |
67,5515053 |
|
28 |
32,3129812 |
37,5336250 |
43,8788992 |
51,6213551 |
61,1039993 |
72,7592662 |
|
29 |
33,6427488 |
39,3019215 |
46,2303618 |
54,7483319 |
65,2622903 |
78,2890570 |
|
30 |
34,9858808 |
41,1059400 |
48,6534370 |
58,0029231 |
69,6337814 |
84,1607911 |
|
31 |
36,3425114 |
42,9464021 |
51,1503059 |
61,3903366 |
74,2294037 |
90,3956129 |
|
32 |
37,7127764 |
44,8240440 |
53,7232158 |
64,9159931 |
79,0606485 |
97,0159745 |
|
33 |
39,0968128 |
46,7396167 |
56,3744824 |
68,5855344 |
84,1395965 |
104,045716 |
|
34 |
40,4947591 |
48,6938866 |
59,1064921 |
72,4048325 |
89,4789478 |
111,510153 |
|
35 |
41,9067549 |
50,6876354 |
61,9217039 |
76,3799992 |
95,0920535 |
119,436165 |
|
36 |
43,3329415 |
52,7216605 |
64,8226517 |
80,5173954 |
100,992949 |
127,852294 |
|
37 |
44,7734615 |
54,7967757 |
67,8119465 |
84,8236420 |
107,196390 |
136,788848 |
|
38 |
46,2284589 |
56,9138110 |
70,8922788 |
89,3056299 |
113,717889 |
146,278007 |
|
39 |
47,6980794 |
59,0736133 |
74,0664213 |
93,9705311 |
120,573752 |
156,353943 |
|
40 |
49,1824698 |
61,2770464 |
77,3372308 |
98,8258106 |
127,781122 |
167,052940 |
|
41 |
50,6817785 |
63,5249919 |
80,7076512 |
103,879238 |
135,358022 |
178,413526 |
|
42 |
52,1961556 |
65,8183488 |
84,1807162 |
109,138899 |
143,323398 |
190,476611 |
|
43 |
53,7257524 |
68,1580347 |
87,7595519 |
114,613212 |
151,697168 |
203,285636 |
|
44 |
55,2707219 |
70,5449853 |
91,4473792 |
120,310935 |
160,500270 |
216,886727 |
|
45 |
56,8312185 |
72,9801556 |
95,2475177 |
126,241187 |
169,754717 |
231,328862 |
|
46 |
58,4073985 |
75,4645195 |
99,1633876 |
132,413457 |
179,483649 |
246,664049 |
|
47 |
59,9994193 |
77,9990709 |
103,198513 |
138,837622 |
189,711394 |
262,947511 |
|
48 |
61,6074402 |
80,5848237 |
107,356527 |
145,523962 |
200,463528 |
280,237886 |
|
49 |
63,2316220 |
83,2228121 |
111,641171 |
152,483177 |
211,766934 |
298,597439 |
|
50 |
64,8721271 |
85,9140914 |
116,056302 |
159,726402 |
223,649879 |
318,092282 |
Продолжение табл. 3
|
Число пер-в n |
Сила роста, % | |||||
|
7 |
8 |
9 |
10 |
11 |
12 | |
|
1 |
1,0358312 |
1,0410883 |
1,0463809 |
1,0517092 |
1,0570734 |
1,0624738 |
|
2 |
2,1467686 |
2,1688859 |
2,1913040 |
2,2140276 |
2,2370612 |
2,2604096 |
|
3 |
3,3382580 |
3,3906144 |
3,4440495 |
3,4985881 |
3,5542557 |
3,6110785 |
|
4 |
4,6161402 |
4,7140971 |
4,8147713 |
4,9182470 |
5,0246111 |
5,1339534 |
|
5 |
5,9866793 |
6,1478087 |
6,3145798 |
6,4872127 |
6,6659365 |
6,8509900 |
|
6 |
7,4565937 |
7,7009300 |
7,9556318 |
8,2211880 |
8,4981121 |
8,7869434 |
|
7 |
9,0330889 |
9,3834063 |
9,7512287 |
10,1375271 |
10,5433296 |
10,9697248 |
|
8 |
10,7238929 |
11,2060110 |
11,7159246 |
12,2554093 |
12,8263610 |
13,4308039 |
|
9 |
12,5372940 |
13,1804151 |
13,8656443 |
14,5960311 |
15,3748588 |
16,2056629 |
|
10 |
14,4821815 |
15,3192616 |
16,2178123 |
17,1828183 |
18,2196911 |
19,3343077 |
|
11 |
16,5680893 |
17,6362463 |
18,7914941 |
20,0416602 |
21,3953150 |
22,8618448 |
|
12 |
18,8052425 |
20,1462059 |
21,6075506 |
23,2011692 |
24,9401943 |
26,8391318 |
|
13 |
21,2046076 |
22,8652127 |
24,6888071 |
26,6929667 |
28,8972654 |
31,3235104 |
|
14 |
23,7779463 |
25,8106775 |
28,0602387 |
30,5519997 |
33,3144570 |
36,3796331 |
|
15 |
26,5378731 |
29,0014615 |
31,7491726 |
34,8168907 |
38,2452712 |
42,0803955 |
|
16 |
29,4979172 |
32,4579966 |
35,7855091 |
39,5303242 |
43,7494309 |
48,5079872 |
|
17 |
32,6725887 |
36,2024163 |
40,2019647 |
44,7394739 |
49,8936036 |
55,7550767 |
|
18 |
36,0774498 |
40,2586977 |
45,0343369 |
50,4964746 |
56,7522090 |
63,9261472 |
|
19 |
39,7291913 |
44,6528149 |
50,3217942 |
56,8589444 |
64,4083197 |
73,1390034 |
|
20 |
43,6457138 |
49,4129053 |
56,1071940 |
63,8905610 |
72,9546682 |
83,5264698 |
|
21 |
47,8462163 |
54,5694496 |
62,4374298 |
71,6616991 |
82,4947696 |
95,2383055 |
|
22 |
52,3512896 |
60,1554674 |
69,3638109 |
80,2501350 |
93,1441756 |
108,4433634 |
|
23 |
57,1830175 |
66,2067283 |
76,9424791 |
89,7418245 |
105,0318740 |
123,3320246 |
|
24 |
62,3650853 |
72,7619809 |
85,2348629 |
100,2317638 |
118,3018510 |
140,1189432 |
|
25 |
67,9228954 |
79,8632012 |
94,3081760 |
111,8249396 |
133,1148353 |
159,0461410 |
|
26 |
73,8836921 |
87,5558614 |
104,2359618 |
124,6373804 |
149,6502449 |
180,3864970 |
|
27 |
80,2766954 |
95,8892207 |
115,0986898 |
138,7973172 |
168,1083600 |
204,4476812 |
|
28 |
87,1332438 |
104,9166411 |
126,9844074 |
154,4464677 |
188,7127491 |
231,5765907 |
|
29 |
94,4869480 |
114,6959288 |
139,9894539 |
171,7414537 |
211,7129768 |
262,1643506 |
|
30 |
102,3738559 |
125,2897048 |
154,2192414 |
190,8553692 |
237,3876266 |
296,6519537 |
|
31 |
110,8326292 |
136,7658052 |
169,7891089 |
211,9795128 |
266,0476751 |
335,5366176 |
|
32 |
119,9047327 |
149,1977164 |
186,8252576 |
235,3253020 |
298,0402588 |
379,3789537 |
|
33 |
129,6346379 |
162,6650451 |
205,4657733 |
261,1263892 |
333,7528783 |
428,811050 |
|
34 |
140,0700409 |
177,2540281 |
225,8617462 |
289,6410005 |
373,6180924 |
484,545582 |
|
35 |
151,2620960 |
193,0580846 |
248,1784953 |
321,1545196 |
418,1187567 |
547,386092 |
|
36 |
163,2656666 |
210,1784147 |
272,5969083 |
355,9823444 |
467,793872 |
618,238569 |
|
37 |
176,1395943 |
228,7246469 |
299,3149078 |
394,4730436 |
523,245114 |
698,124514 |
|
38 |
189,9469871 |
248,8155404 |
328,5490558 |
437,0118449 |
585,144120 |
788,195665 |
|
39 |
204,7555289 |
270,5797455 |
360,5363087 |
484,0244911 |
654,240623 |
889,750605 |
|
40 |
220,6378110 |
294,1566275 |
395,5359383 |
535,9815003 |
731,371533 |
1004,253479 |
|
41 |
237,6716886 |
319,6971587 |
433,8316329 |
593,402876 |
817,471077 |
1133,355110 |
|
42 |
255,9406616 |
347,3648860 |
475,7337971 |
656,863310 |
913,582110 |
1278,916792 |
|
43 |
275,5342846 |
377,3369771 |
521,5820676 |
726,997937 |
1020,868749 |
1443,037130 |
|
44 |
296,5486057 |
409,8053558 |
571,7480661 |
804,508687 |
1140,630470 |
1628,082295 |
|
45 |
19,0866369 |
444,9779305 |
626,6384116 |
890,171313 |
1274,317854 |
1836,720135 |
|
46 |
343,2588597 |
483,0799259 |
686,6980161 |
984,843156 |
1423,550148 |
2071,958643 |
|
47 |
369,1837665 |
524,3553247 |
752,413691 |
1089,471725 |
1590,134886 |
2337,189321 |
|
48 |
396,9884411 |
569,0684305 |
824,318092 |
1205,104175 |
1776,089776 |
2636,236074 |
|
49 |
426,8091821 |
617,5055597 |
902,994039 |
1332,897797 |
1983,667141 |
2973,410348 |
|
50 |
458,7921708 |
669,9768754 |
989,079237 |
1474,131591 |
2215,381202 |
3353,573279 |
Продолжение табл. 3
|
Число пер-в n |
Сила роста, % | |||||
|
13 |
14 |
15 |
18 |
20 |
25 | |
|
1 |
1,0679106 |
1,0733843 |
1,0788950 |
1,0956520 |
1,1070138 |
1,1361017 |
|
2 |
2,2840776 |
2,3080701 |
2,3323921 |
2,4073856 |
2,4591235 |
2,5948851 |
|
3 |
3,6690830 |
3,7282968 |
3,7887479 |
3,9778159 |
4,1105940 |
4,4680001 |
|
4 |
5,2463665 |
5,3619464 |
5,4807920 |
5,8579623 |
6,1277046 |
6,8731273 |
|
5 |
7,0426218 |
7,2410908 |
7,4466668 |
8,1089062 |
8,5914091 |
9,9613718 |
|
6 |
9,0882482 |
9,4026213 |
9,7306874 |
10,8037753 |
11,6005846 |
13,9267563 |
|
7 |
11,4178656 |
11,8889732 |
12,3843408 |
14,0301194 |
15,2759998 |
19,0184107 |
|
8 |
14,0709001 |
14,7489586 |
15,4674462 |
17,8927545 |
19,7651621 |
25,5562244 |
|
9 |
17,0922511 |
18,0387249 |
19,0495035 |
22,5171684 |
25,2482373 |
33,9509433 |
|
10 |
20,5330513 |
21,8228569 |
23,2112605 |
28,0535970 |
31,9452805 |
44,7299758 |
|
11 |
24,4515322 |
26,1756448 |
28,0465322 |
34,6819055 |
40,1250675 |
58,5705275 |
|
12 |
28,9140096 |
31,1825427 |
33,6643164 |
42,6174314 |
50,1158819 |
76,3421477 |
|
13 |
33,9960054 |
36,9418461 |
40,1912505 |
52,1179809 |
62,3186902 |
99,1613597 |
|
14 |
39,7835265 |
43,5666219 |
47,7744661 |
63,4922037 |
77,2232339 |
128,4618078 |
|
15 |
46,3745199 |
51,1869279 |
56,5849056 |
77,1096207 |
95,4276846 |
166,0843280 |
|
16 |
53,8805301 |
59,9523663 |
66,8211759 |
93,4126288 |
117,6626510 |
214,3926001 |
|
17 |
62,4285876 |
70,0350205 |
78,7140252 |
112,9308731 |
144,8205002 |
276,4216494 |
|
18 |
72,1633582 |
81,6328333 |
92,5315448 |
136,2984542 |
177,9911722 |
356,0685252 |
|
19 |
83,2495912 |
94,9734936 |
108,5852123 |
164,2745279 |
218,5059225 |
458,3371381 |
|
20 |
95,8749080 |
110,3189055 |
127,2369128 |
197,7679691 |
267,9907502 |
589,6526364 |
|
21 |
110,2529771 |
127,9703308 |
148,9070972 |
237,8668985 |
328,4316552 |
758,2650738 |
|
22 |
126,6271303 |
148,2743028 |
174,0842595 |
285,8740331 |
402,2543433 |
974,7677291 |
|
23 |
145,2744807 |
171,6294299 |
203,3359487 |
343,3490081 |
492,4215782 |
1252,762641 |
|
24 |
166,5106126 |
198,4942206 |
237,3215630 |
412,1590461 |
602,5520876 |
1609,715174 |
|
25 |
190,6949224 |
229,3960854 |
276,8072133 |
494,5396183 |
737,0657955 |
2068,051299 |
|
26 |
218,2367009 |
264,9416909 |
322,6829940 |
593,1670698 |
901,3612094 |
2656,566532 |
|
27 |
249,6020599 |
305,8288695 |
375,9830470 |
711,2455673 |
1102,032081 |
3412,235050 |
|
28 |
285,3218210 |
352,8603198 |
437,9088736 |
852,6111946 |
1347,132037 |
4382,532634 |
|
29 |
326,0004987 |
406,9593648 |
509,8564195 |
1021,856578 |
1646,497800 |
5628,419393 |
|
30 |
372,3265316 |
469,1880789 |
593,4475420 |
1224,480090 |
2012,143967 |
7228,169658 |
|
31 |
425,0839327 |
540,7681381 |
690,5665705 |
1467,064477 |
2458,745205 |
9282,289658 |
|
32 |
485,1655585 |
623,1048048 |
803,4027835 |
1757,490716 |
3004,225189 |
11919,83195 |
|
33 |
553,5882192 |
717,8145152 |
934,4997595 |
2105,194053 |
3670,475946 |
15306,50329 |
|
34 |
631,5098874 |
826,7566136 |
1086,812715 |
2521,470525 |
4484,236458 |
19655,07536 |
|
35 |
720,2492947 |
952,0698549 |
1263,775123 |
3019,843945 |
5478,165792 |
25238,75243 |
|
36 |
821,3082505 |
1096,214393 |
1469,376108 |
3616,505257 |
6692,153822 |
32408,33571 |
|
37 |
936,3970578 |
1262,020079 |
1708,250373 |
4330,838540 |
8174,922150 |
41614,26287 |
|
38 |
1067,463458 |
1452,742014 |
1985,782673 |
5186,050748 |
9985,979476 |
53434,90732 |
|
39 |
1216,725595 |
1672,124460 |
2308,229203 |
6209,925654 |
12198,00989 |
68612,91524 |
|
40 |
1386,709553 |
1924,474339 |
2682,858623 |
7435,726469 |
14899,78994 |
88101,86318 |
|
41 |
1580,292109 |
2214,745793 |
3118,115912 |
8903,276488 |
18199,75154 |
113126,1677 |
|
42 |
1800,749418 |
2548,637441 |
3623,812734 |
10660,25285 |
22230,33374 |
145258,0107 |
|
43 |
2051,812459 |
2932,704255 |
4211,348619 |
12763,73546 |
27153,29796 |
186516,1138 |
|
44 |
2337,730177 |
3374,486249 |
4893,967928 |
15282,06137 |
33166,22003 |
239492,5669 |
|
45 |
2663,341388 |
3882,656501 |
5687,058417 |
18297,04486 |
40510,41964 |
307515,6791 |
|
46 |
3034,156678 |
4467,191427 |
6608,498104 |
21906,63546 |
49480,64529 |
394859,0840 |
|
47 |
3456,451655 |
5139,566637 |
7679,058285 |
26228,09999 |
60436,90365 |
507010,2360 |
|
48 |
3937,373161 |
5912,982225 |
8922,871763 |
31401,83236 |
73818,90783 |
651015,1657 |
|
49 |
4485,060222 |
6802,621911 |
10367,97685 |
37595,91458 |
90163,72464 |
835921,1555 |
|
50 |
5108,781793 |
7825,951132 |
12046,94943 |
45011,57738 |
110127,3290 |
1073345,146 |
