В. Ф. Столяров, д-р екон наук, проф
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Додатки
МАЙБУТНЯ ВАРТІСТЬ ОДНІЄЇ ГРОШОВОЇ
| Період, n | Процентна ставка | ||||||||
| 1 % | 2 % | 3 % | 4 % | 5 % | 6 % | 7 % | 8 % | 9 % | |
| 1 2 3 4 5 | 1.0100 1.0201 1.0303 1.0406 1.0510 | 1.0200 1.0404 1.0612 1.0824 1.1041 | 1.0300 1.0609 1.0927 1.1255 1.1593 | 1.0400 1.0816 1.1249 1.1699 1.2167 | 1.0500 1.1025 1.1576 1.2155 1.2763 | 1.0600 1.1236 1.1910 1.2625 1.3382 | 1.0700 1.1449 1.2250 1.3108 1.4026 | 1.0800 1.1664 1.2597 1.3605 1.4693 | 1.0900 1.1881 1.2950 1.4116 1.5386 |
| 6 7 8 9 10 | 1.0615 1.0721 1.0829 1.0937 1.1046 | 1.1262 1.1487 1.1717 1.1951 1.2190 | 1.1941 1.2299 1.2668 1.3048 1.3439 | 1.2653 1.3159 1.3686 1.4233 1.4802 | 1.3401 1.4071 1.4775 1.5513 1.6289 | 1.4185 1.5036 1.5938 1.6895 1.7908 | 1.5007 1.6058 1.7182 1.8385 1.9672 | 1.5869 1.7138 1.8509 1.9990 2.1589 | 1.6771 1.8280 1.9926 2.1719 2.3674 |
| 11 12 13 14 15 | 1.1157 1.1268 1.1381 1.1495 1.1610 | 1.2434 1.2682 1.2936 1.3195 1.3459 | 1.3842 1.4258 1.4685 1.5126 1.5580 | 1.5395 1.6010 1.6651 1.7317 1.8009 | 1.7103 1.7959 1.8856 1.9799 2.0789 | 1.8983 2.0122 2.1329 2.2609 2.3966 | 2.1049 2.2522 2.4098 2.5785 2.7590 | 2.3316 2.5182 2.7196 2.9372 3.1722 | 2.5804 2.8127 3.0658 3.3417 3.6425 |
| 16 17 18 19 20 | 1.1726 1.1843 1.1961 1.2081 1.2202 | 1.3728 1.4002 1.4282 1.4568 1.4859 | 1.6047 1.6528 1.7024 1.7535 1.8061 | 1.8730 1.9479 2.0258 2.1068 2.1911 | 2.1829 2.2920 2.4066 2.5270 2.6533 | 2.5404 2.6928 2.8543 3.0256 3.2071 | 2.9522 3.1588 3.3799 3.6165 3.8697 | 3.4259 3.7000 3.9960 4.3157 4.6610 | 3.9703 4.3276 4.7171 5.1417 5.6044 |
| 21 22 23 24 25 | 1.2324 1.2447 1.2572 1.2697 1.2824 | 1.5157 1.5460 1.5769 1.6084 1.6406 | 1.8603 1.9161 1.9736 2.0328 2.0938 | 2.2788 2.3699 2.4647 2.5633 2.6658 | 2.7860 2.9253 3.0715 3.2251 3.3864 | 3.3996 3.6035 3.8197 4.0489 4.2919 | 4.1406 4.4304 4.7405 5.0724 5.4274 | 5.0338 5.4365 5.8715 6.3412 6.8485 | 6.1088 6.6586 7.2579 7.9111 8.6231 |
| 26 27 28 29 30 | 12953 1.3082 1.3213 1.3345 1.3478 | 1.6734 1.7069 1.7410 1.7758 1.8114 | 2.1566 2.2213 2.2879 2.3566 2.4273 | 2.7725 2.8834 2.9987 3.1187 3.2434 | 3.5557 3.7335 3.9201 4.1161 4.3219 | 4.5494 4.8223 5.1117 5.4184 5.7435 | 5.8074 6.2139 6.6488 7.1143 7.6123 | 7.3964 7.9881 8.6271 9.3173 10.063 | 9.3992 10.245 11.167 12.172 13.268 |
| 40 50 60 | 1.4889 1.6446 1.8167 | 2.2080 2.6916 3.2810 | 3.2620 4.3839 5.8916 | 4.8010 7.1067 10.520 | 7.0400 11.467 18.679 | 10.286 18.420 32.988 | 14.974 29.457 57.946 | 21.725 46.902 101.26 | 31.409 74.358 176.03 |
Додаток 1
ОДИНИЦІ ЧЕРЕЗ n-ПЕРІОДІВ ((1 + r)n)
| Процентна ставка | ||||||||||
| 10 % | 12 % | 14 % | 15 % | 16 % | 18 % | 20 % | 24 % | 28 % | 32 % | 36 % |
| 1.1000 1.2100 1.3310 1.4641 1.6105 | 1.1200 1.2544 1.40491.57351.7623 | 1.1400 1.2996 1.4815 1.6890 1.9254 | 1.1500 1.3225 1.5209 1.7490 2.0114 | 1.1600 1.3456 1.5609 1.8106 2.1003 | 1.1800 1.3924 1.6430 1.9388 2.2878 | 1.2000 1.4400 1.7280 2.0736 2.4883 | 1.2400 1.5376 1.9066 2.3642 2.9316 | 1.2800 1.6384 2.0972 2.6844 3.4360 | 1.3200 1.7424 2.3000 3.0360 4.0075 | 1.3600 1.8496 2.5155 3.4210 4.6526 |
| 1.7716 1.9487 2.14362.3579 2.5937 | 1.9738 2.2107 2.4760 2.7731 3.1058 | 2.1950 2.5023 2.8526 3.2519 3.7072 | 2.3131 2.6600 3.0590 3.5179 4.0456 | 2.4364 2.8262 3.2784 3.8030 4.4114 | 2.6996 3.1855 3.7589 4.4355 5.2338 | 2.9860 3.5832 4.2998 5.1598 6.1917 | 3.6352 4.5077 5.5895 6.9310 8.5944 | 4.3980 5.6295 7.2058 9.2234 11.806 | 5.2899 6.9826 9.2170 12.166 16.060 | 6.3275 8.6054 11.703 15.917 21.647 |
| 2.8531 3.1384 3.4523 3.7975 4.1772 | 3.4785 3.8960 4.3635 4.8871 5.4736 | 4.2262 4.8179 5.4924 6.2613 7.1379 | 4.6524 5.3503 6.1528 7.0757 8.1371 | 5.1173 5.9360 6.8858 7.98759.2655 | 6.1759 7.2876 8.5994 10.147 11.974 | 7.4301 8.9161 10.699 12.839 15.407 | 10.657 13.215 16.386 20.319 25.196 | 15.112 19.343 24.759 31.691 40.565 | 21.199 27.983 36.937 48.757 64.359 | 29.439 40.037 54.451 74.053 100.71 |
| 4.5950 5.0545 5.5599 6.1159 6.7275 | 6.1304 6.8660 7.6900 8.6128 9.6463 | 8.1372 9.2765 10.575 12.056 13.743 | 9.3576 10.761 12.375 14.232 16.367 | 10.748 12.468 14.463 16.777 19.461 | 14.129 16.672 19.673 23.214 27.393 | 18.488 22.186 26.623 31.948 38.338 | 31.243 38.741 48.039 59.568 73.864 | 51.923 66.461 85.071 108.89 139.38 | 84.954 112.14 148.02 195.39 257.92 | 136.97 186.28 253.34 344.54 468.57 |
| 7.4002 8.1403 8.9543 9,8497 10.835 | 10.804 12.100 13.552 15.179 17.000 | 15.668 17.861 20.362 23.212 26.462 | 18.822 21.645 24.891 28.625 32.919 | 22.574 26.186 30.376 35.236 40.874 | 32.324 38.142 45.008 53.109 62.669 begin_of_the_skype_highlighting 008 53.109 62.669 end_of_the_skype_highlighting | 46.005 55.206 66.247 79.497 95.396 | 91.592 113.57 140.83 174.63 216.54 | 178.41 228.36 292.30 374.14 478.90 | 340.45 449.39 593.20 783.02 1033.6 | 637.26 866.67 1178.7 1603.0 2180.1 |
| 11.918 13.110 14.421 15.863 17.449 | 19.040 21325 23.884 26.750 29.960 | 30.167 34.390 39.204 44.693 50.950 | 37.857 43.535 50.066 57.575 66.212 | 47.414 55.000 63.800 74.009 85.850 | 73.949 87.260 102.97 121.50 143.37 | 114.48 137.37 164.84 197.81 237.38 | 268.51 332.95 412.86 511.95 634.82 | 613.00 784.64 1004.3 1285.6 1645.5 | 1364.3 1800.9 2377.2 3137.9 4142.1 | 2964.9 4032.3 5483.9 7458.1 10143. |
| 45.259 117.39 304.48 | 93.051 289.00 897.60 | 188.88 700.23 2595.9 | 267.86 1083.7 4384.0 | 378.72 1670.7 7370.2 | 750.38 3927.4 20555. | 1469.8 9100.4 56348. | 5455.9 46890. * | 19427. * * | 66521. * * | * * * |
ТЕПЕРІШНЯ ВАРТІСТЬ
| Період, n | Ставка дисконту | ||||||||
| 1 % | 2 % | 3 % | 4 % | 5 % | 6 % | 7 % | 8 % | 9 % | |
| 1 2 3 4 5 | .9901 .9803 .9706 .9610 .9515 | .9804 .9612 .9423 .9238 .9057 | .9709 .9426 .9151 .8885 .8626 | .9615 .9246 .8890 .8548 .8219 | .9524 .9070 .8638 .8227 .7835 | .9434 .8900 .8396 .7921 .7473 | .9346 .8734 .8163 .7629 .7130 | .9259 .8573 .7938 .7350 .6806 | .9174 .8417 .7722 .7084 .6499 |
| 6 7 8 9 10 | .9420 .9327 .9235 .9143 .9053 | .8880 .8706 .8535 .8368 .8203 | .8375 .8131 .7894 .7664 .7441 | .7903 .7599 .7307 .7026 .6756 | .7462 .7107 .6768 .6446 .6139 | .7050 .6651 .6274 .5919 .5584 | .6663 .6227 .5820 .5439 .5083 | .6302 .5835 .5403 .5002 .4632 | .5963 .5470 .5019 .4604 .4224 |
| 11 12 13 14 15 | .8963 .8874 .8787 .8700 .8613 | .8043 .7885 .7730 .7579 .7430 | .7224 .7014 .6810 .6611 .6419 | .6496 .6246 .6006 .5775 .5553 | .5847 .5568 .5303 .5051 .4810 | .5268 .4970 .4688 .4423 .4173 | .4751 .4440 .4150 .3878 .3624 | .4289 .3971 .3677 .3405 .3152 | .3875 .3555 .3262 .2992 .2745 |
| 16 17 18 19 20 | .8528 .8444 .8360 .8277 .8195 | .7284 .7142 .7002 .6864 .6730 | .6232 .6050 .5874 .5703 .5537 | .5339 .5134 .4936 .4746 .4564 | .4581 .4363 .4155 .3957 .3769 | .3936 .3714 .3503 .3305 .3118 | .3387 .3166 .2959 .2765 .2584 | .2919 .2703 .2502 .2317 .2145 | .2519 .2311 .2120 .1945 .1784 |
| 21 22 23 24 25 | .8114 .8034 .7954 .7876 .7798 | .6598 .6468 .6342 .6217 .6095 | .5375 .5219 .5067 .4919 4776 | .4388 .4220 .4057 .3901 .3751 | .3589 .3418 .3256 .3101 .2953 | .2942 .2775 .2618 .2470 .2330 | .2415 .2257 .2109 .1971 .1842 | .1987 .1839 .1703 .1577 .1460 | .1637 .1502 .1378 .1264 .1160 |
| 26 27 28 29 30 | .7720 .7644 .7568 7493 .7419 | .5976 .5859 .5744 .5631 .5521 | .4637 .4502 .4371 .4243 .4120 | .3607 .3468 .3335 .3207 .3083 | .2812 .2678 .2551 .2429 .2314 | .2198 .2074 .1956 .1846 .1741 | .1722 .1609 .1504 .1406 .1314 | .1352 .1252 .1159 .1073 .0994 | .1064 .0976 .0895 .0822 .0754 |
| 35 40 45 50 55 | .7059 .6717 .6391 .6080 .5785 | .5000 .4529 .4102 .3715 .3365 | .3554 .3066 .2644 .2281 .1968 | .2534 .2083 .1712 .1407 .1157 | .1813 .1420 .1113 .0872 .0683 | .1301 .0972 .0727 .0543 .0406 | .0937 .0668 .0476 .0339 .0242 | .0676 .0460 .0313 .0213 .0145 | .0490 .0318 .0207 .0134 .0087 |
Додаток 2
ОДНІЄЇ ГРОШОВОЇ ОДИНИЦІ (1/(1 + r)n)
| Ставка дисконту | ||||||||||
| 10 % | 12 % | 14 % | 15 % | 16 % | 18 % | 20 % | 24 % | 28 % | 32 % | 36 % |
| .9091 .8264 .7513 .6830 .6209 | .8929 .7972 .7118 .6355 .5674 | .8772 .7695 .6750 .5921 .5194 | .8696 .7561 .6575 .5718 .4972 | .8621 .7432 .6407 .5523 .4761 | .8475 .7182 .6086 .5158 .4371 | .8333 .6944 .5787 .4823 .4019 | .8065 .6504 .5245 .4230 .3411 | .7813 .6104 .4768 .3725 .2910 | .7576 .5739 .4348 .3294 .2495 | .7353 .5407 .3975 .2923 .2149 |
| .5645 .5132 .4665 .4241 .3855 | .5066 .4523 .4039 .3606 .3220 | .4556 .3996 .3506 .3075 .2697 | .4323 .3759 .3269 .2843 .2472 | .4104 .3538 .3050 .2630 .2267 | .3704 .3139 .2660 .2255 .1911 | .3349 .2791 .2326 .1938 .1615 | .2751 .2218 .1789 .1443 .1164 | .2274 .1776 .1388 .1084 .0847 | .1890 .1432 .1085 .0822 .0623 | .1580 .1162 .0854 .0628 .0462 |
| .3505 .3186 .2897 .2633 .2394 | .2875 .2567 .2292 .2046 .1827 | .2366 .2076 .1821 .1597 .1401 | .2149 .1869 .1625 .1413 .1229 | .1954 .1685 .1452 .1252 .1079 | .1619 .1372 .1163 .0985 .0835 | .1346 .1122 .0935 .0779 .0649 | .0938 .0757 .0610 .0492 .0397 | .0662 .0517 .0404 .0316 .0247 | .0472 .0357 .0271 .0205 .0155 | .0340 .0250 .0184 .0135 .0099 |
| .2176 .1978 .1799 .1635 .1486 | .1631 .1456 .1300 .1161 .1037 | .1229 .1078 .0946 .0829 .0728 | .1069 .0929 .0808 .0703 .0611 | .0930 .0802 .0691 .0596 .0514 | .0708 .0600 .0508 .0431 .0365 | .0541 .0451 .0376 .0313 .0261 | .0329 .0258 .0208 .0168 .0135 | .0193 .0150 .0118 .0092 0072 | .0118 .0089 .0068 .0051 .0039 | .0073 .0054 .0039 .0029 .0021 |
| .1351 .1228 .1117 .1015 .0923 | .0926 .0826 .0738 .0659 .0588 | .0638 .0560 .0491 .0431 .0378 | .0531 .0462 .0402 .0349 .0304 | .0443 .0382 .0329 .0284 .0245 | .0309 .0262 .0222 .0188 .0160 | .0217 .0181 .0151 .0126 .0105 | .0109 .0088 .0071 .0057 .0046 | .0056 .0044 .0034 .0027 .0021 | .0029 .0022 .0017 .0013 .0010 | .0016 .0012 .0008 .0006 .0005 |
| .0839 .0763 .0693 .0630 .0573 | .0525 .0469 .0419 .0374 .0334 | .0331 .0291 .0255 .0224 .0196 | .0264 .0230 .0200 .0174 .0151 | .0211 .0182 .0157 .0135 .0116 | .0135 .0115 .0097 .0082 .0070 | .0087 .0073 .0061 .0051 .0042 | .0037 .0030 .0024 .0020 .0016 | .0016 .0013 .0010 .0008 .0006 | .0007 .0006 .0004 .0003 .0002 | .0003 .0002 .0002 .0001 .0001 |
| .0356 .0221 .0137 .0085 .0053 | .0189 .0107 .0061 .0035 .0020 | .0102 .0053 .0027 .0014 .0007 | .0075 .0037 .0019 .0009 .0005 | .0055 .0026 .0013 .0006 .0003 | .0030 .0013 .0006 .0003 .0001 | .0017 .0007 .0003 .0001 * | .0005 .0002 .0001 * * | .0002 .0001 * * * | .0001 * * * * | * * * * * |