Vállalati pénzügyek
F. Jelenérték-táblázatok
1% | Egyszeri | Egyenletes | Lineárisan növekvő | ||||||
N | F/P | P/F | P/A | A/P | F/A | A/F | A/G | P/G | F/G |
1 | 1,0100 | 0,9901 | 0,9901 | 1,0100 | 1,0000 | 1,0000 | 0,0000 | 0,0000 | 0,0000 |
2 | 1,0201 | 0,9803 | 1,9704 | 0,5075 | 2,0100 | 0,4975 | 0,4975 | 0,9803 | 1,0000 |
3 | 1,0303 | 0,9706 | 2,9410 | 0,3400 | 3,0301 | 0,3300 | 0,9934 | 2,9215 | 3,0100 |
4 | 1,0406 | 0,9610 | 3,9020 | 0,2563 | 4,0604 | 0,2463 | 1,4876 | 5,8044 | 6,0401 |
5 | 1,0510 | 0,9515 | 4,8534 | 0,2060 | 5,1010 | 0,1960 | 1,9801 | 9,6103 | 10,1005 |
6 | 1,0615 | 0,9420 | 5,7955 | 0,1725 | 6,1520 | 0,1625 | 2,4710 | 14,3205 | 15,2015 |
7 | 1,0721 | 0,9327 | 6,7282 | 0,1486 | 7,2135 | 0,1386 | 2,9602 | 19,9168 | 21,3535 |
8 | 1,0829 | 0,9235 | 7,6517 | 0,1307 | 8,2857 | 0,1207 | 3,4478 | 26,3812 | 28,5671 |
9 | 1,0937 | 0,9143 | 8,5660 | 0,1167 | 9,3685 | 0,1067 | 3,9337 | 33,6959 | 36,8527 |
10 | 1,1046 | 0,9053 | 9,4713 | 0,1056 | 10,4622 | 0,0956 | 4,4179 | 41,8435 | 46,2213 |
11 | 1,1157 | 0,8963 | 10,3676 | 0,0965 | 11,5668 | 0,0865 | 4,9005 | 50,8067 | 56,6835 |
12 | 1,1268 | 0,8874 | 11,2551 | 0,0888 | 12,6825 | 0,0788 | 5,3815 | 60,5687 | 68,2503 |
13 | 1,1381 | 0,8787 | 12,1337 | 0,0824 | 13,8093 | 0,0724 | 5,8607 | 71,1126 | 80,9328 |
14 | 1,1495 | 0,8700 | 13,0037 | 0,0769 | 14,9474 | 0,0669 | 6,3384 | 82,4221 | 94,7421 |
15 | 1,1610 | 0,8613 | 13,8651 | 0,0721 | 16,0969 | 0,0621 | 6,8143 | 94,4810 | 109,6896 |
16 | 1,1726 | 0,8528 | 14,7179 | 0,0679 | 17,2579 | 0,0579 | 7,2886 | 107,2734 | 125,7864 |
17 | 1,1843 | 0,8444 | 15,5623 | 0,0643 | 18,4304 | 0,0543 | 7,7613 | 120,7834 | 143,0443 |
18 | 1,1961 | 0,8360 | 16,3983 | 0,0610 | 19,6147 | 0,0510 | 8,2323 | 134,9957 | 161,4748 |
19 | 1,2081 | 0,8277 | 17,2260 | 0,0581 | 20,8109 | 0,0481 | 8,7017 | 149,8950 | 181,0895 |
20 | 1,2202 | 0,8195 | 18,0456 | 0,0554 | 22,0190 | 0,0454 | 9,1694 | 165,4664 | 201,9004 |
21 | 1,2324 | 0,8114 | 18,8570 | 0,0530 | 23,2392 | 0,0430 | 9,6354 | 181,6950 | 223,9194 |
22 | 1,2447 | 0,8034 | 19,6604 | 0,0509 | 24,4716 | 0,0409 | 10,0998 | 198,5663 | 247,1586 |
23 | 1,2572 | 0,7954 | 20,4558 | 0,0489 | 25,7163 | 0,0389 | 10,5626 | 216,0660 | 271,6302 |
24 | 1,2697 | 0,7876 | 21,2434 | 0,0471 | 26,9735 | 0,0371 | 11,0237 | 234,1800 | 297,3465 |
25 | 1,2824 | 0,7798 | 22,0232 | 0,0454 | 28,2432 | 0,0354 | 11,4831 | 252,8945 | 324,3200 |
26 | 1,2953 | 0,7720 | 22,7952 | 0,0439 | 29,5256 | 0,0339 | 11,9409 | 272,1957 | 352,5631 |
27 | 1,3082 | 0,7644 | 23,5596 | 0,0424 | 30,8209 | 0,0324 | 12,3971 | 292,0702 | 382,0888 |
28 | 1,3213 | 0,7568 | 24,3164 | 0,0411 | 32,1291 | 0,0311 | 12,8516 | 312,5047 | 412,9097 |
29 | 1,3345 | 0,7493 | 25,0658 | 0,0399 | 33,4504 | 0,0299 | 13,3044 | 333,4863 | 445,0388 |
30 | 1,3478 | 0,7419 | 25,8077 | 0,0387 | 34,7849 | 0,0287 | 13,7557 | 355,0021 | 478,4892 |
31 | 1,3613 | 0,7346 | 26,5423 | 0,0377 | 36,1327 | 0,0277 | 14,2052 | 377,0394 | 513,2740 |
32 | 1,3749 | 0,7273 | 27,2696 | 0,0367 | 37,4941 | 0,0267 | 14,6532 | 399,5858 | 549,4068 |
33 | 1,3887 | 0,7201 | 27,9897 | 0,0357 | 38,8690 | 0,0257 | 15,0995 | 422,6291 | 586,9009 |
34 | 1,4026 | 0,7130 | 28,7027 | 0,0348 | 40,2577 | 0,0248 | 15,5441 | 446,1572 | 625,7699 |
35 | 1,4166 | 0,7059 | 29,4086 | 0,0340 | 41,6603 | 0,0240 | 15,9871 | 470,1583 | 666,0276 |
36 | 1,4308 | 0,6989 | 30,1075 | 0,0332 | 43,0769 | 0,0232 | 16,4285 | 494,6207 | 707,6878 |
37 | 1,4451 | 0,6920 | 30,7995 | 0,0325 | 44,5076 | 0,0225 | 16,8682 | 519,5329 | 750,7647 |
38 | 1,4595 | 0,6852 | 31,4847 | 0,0318 | 45,9527 | 0,0218 | 17,3063 | 544,8835 | 795,2724 |
39 | 1,4741 | 0,6784 | 32,1630 | 0,0311 | 47,4123 | 0,0211 | 17,7428 | 570,6616 | 841,2251 |
40 | 1,4889 | 0,6717 | 32,8347 | 0,0305 | 48,8864 | 0,0205 | 18,1776 | 596,8561 | 888,6373 |
41 | 1,5038 | 0,6650 | 33,4997 | 0,0299 | 50,3752 | 0,0199 | 18,6108 | 623,4562 | 937,5237 |
42 | 1,5188 | 0,6584 | 34,1581 | 0,0293 | 51,8790 | 0,0193 | 19,0424 | 650,4514 | 987,8989 |
43 | 1,5340 | 0,6519 | 34,8100 | 0,0287 | 53,3978 | 0,0187 | 19,4723 | 677,8312 | 1039,7779 |
44 | 1,5493 | 0,6454 | 35,4555 | 0,0282 | 54,9318 | 0,0182 | 19,9006 | 705,5853 | 1093,1757 |
45 | 1,5648 | 0,6391 | 36,0945 | 0,0277 | 56,4811 | 0,0177 | 20,3273 | 733,7037 | 1148,1075 |
46 | 1,5805 | 0,6327 | 36,7272 | 0,0272 | 58,0459 | 0,0172 | 20,7524 | 762,1765 | 1204,5885 |
47 | 1,5963 | 0,6265 | 37,3537 | 0,0268 | 59,6263 | 0,0168 | 21,1758 | 790,9938 | 1262,6344 |
48 | 1,6122 | 0,6203 | 37,9740 | 0,0263 | 61,2226 | 0,0163 | 21,5976 | 820,1460 | 1322,2608 |
49 | 1,6283 | 0,6141 | 38,5881 | 0,0259 | 62,8348 | 0,0159 | 22,0178 | 849,6237 | 1383,4834 |
50 | 1,6446 | 0,6080 | 39,1961 | 0,0255 | 64,4632 | 0,0155 | 22,4363 | 879,4176 | 1446,3182 |
2% | Egyszeri | Egyenletes | Lineárisan növekvő | ||||||
N | F/P | P/F | P/A | A/P | F/A | A/F | A/G | P/G | F/G |
1 | 1,0200 | 0,9804 | 0,9804 | 1,0200 | 1,0000 | 1,0000 | 0,0000 | 0,0000 | 0,0000 |
2 | 1,0404 | 0,9612 | 1,9416 | 0,5150 | 2,0200 | 0,4950 | 0,4950 | 0,9612 | 1,0000 |
3 | 1,0612 | 0,9423 | 2,8839 | 0,3468 | 3,0604 | 0,3268 | 0,9868 | 2,8458 | 3,0200 |
4 | 1,0824 | 0,9238 | 3,8077 | 0,2626 | 4,1216 | 0,2426 | 1,4752 | 5,6173 | 6,0804 |
5 | 1,1041 | 0,9057 | 4,7135 | 0,2122 | 5,2040 | 0,1922 | 1,9604 | 9,2403 | 10,2020 |
6 | 1,1262 | 0,8880 | 5,6014 | 0,1785 | 6,3081 | 0,1585 | 2,4423 | 13,6801 | 15,4060 |
7 | 1,1487 | 0,8706 | 6,4720 | 0,1545 | 7,4343 | 0,1345 | 2,9208 | 18,9035 | 21,7142 |
8 | 1,1717 | 0,8535 | 7,3255 | 0,1365 | 8,5830 | 0,1165 | 3,3961 | 24,8779 | 29,1485 |
9 | 1,1951 | 0,8368 | 8,1622 | 0,1225 | 9,7546 | 0,1025 | 3,8681 | 31,5720 | 37,7314 |
10 | 1,2190 | 0,8203 | 8,9826 | 0,1113 | 10,9497 | 0,0913 | 4,3367 | 38,9551 | 47,4860 |
11 | 1,2434 | 0,8043 | 9,7868 | 0,1022 | 12,1687 | 0,0822 | 4,8021 | 46,9977 | 58,4358 |
12 | 1,2682 | 0,7885 | 10,5753 | 0,0946 | 13,4121 | 0,0746 | 5,2642 | 55,6712 | 70,6045 |
13 | 1,2936 | 0,7730 | 11,3484 | 0,0881 | 14,6803 | 0,0681 | 5,7231 | 64,9475 | 84,0166 |
14 | 1,3195 | 0,7579 | 12,1062 | 0,0826 | 15,9739 | 0,0626 | 6,1786 | 74,7999 | 98,6969 |
15 | 1,3459 | 0,7430 | 12,8493 | 0,0778 | 17,2934 | 0,0578 | 6,6309 | 85,2021 | 114,6708 |
16 | 1,3728 | 0,7284 | 13,5777 | 0,0737 | 18,6393 | 0,0537 | 7,0799 | 96,1288 | 131,9643 |
17 | 1,4002 | 0,7142 | 14,2919 | 0,0700 | 20,0121 | 0,0500 | 7,5256 | 107,5554 | 150,6035 |
18 | 1,4282 | 0,7002 | 14,9920 | 0,0667 | 21,4123 | 0,0467 | 7,9681 | 119,4581 | 170,6156 |
19 | 1,4568 | 0,6864 | 15,6785 | 0,0638 | 22,8406 | 0,0438 | 8,4073 | 131,8139 | 192,0279 |
20 | 1,4859 | 0,6730 | 16,3514 | 0,0612 | 24,2974 | 0,0412 | 8,8433 | 144,6003 | 214,8685 |
21 | 1,5157 | 0,6598 | 17,0112 | 0,0588 | 25,7833 | 0,0388 | 9,2760 | 157,7959 | 239,1659 |
22 | 1,5460 | 0,6468 | 17,6580 | 0,0566 | 27,2990 | 0,0366 | 9,7055 | 171,3795 | 264,9492 |
23 | 1,5769 | 0,6342 | 18,2922 | 0,0547 | 28,8450 | 0,0347 | 10,1317 | 185,3309 | 292,2482 |
24 | 1,6084 | 0,6217 | 18,9139 | 0,0529 | 30,4219 | 0,0329 | 10,5547 | 199,6305 | 321,0931 |
25 | 1,6406 | 0,6095 | 19,5235 | 0,0512 | 32,0303 | 0,0312 | 10,9745 | 214,2592 | 351,5150 |
3% | Egyszeri | Egyenletes | Lineárisan növekvő | ||||||
N | F/P | P/F | P/A | A/P | F/A | A/F | A/G | P/G | F/G |
1 | 1,0300 | 0,9709 | 0,9709 | 1,0300 | 1,0000 | 1,0000 | 0,0000 | 0,0000 | 0,0000 |
2 | 1,0609 | 0,9426 | 1,9135 | 0,5226 | 2,0300 | 0,4926 | 0,4926 | 0,9426 | 1,0000 |
3 | 1,0927 | 0,9151 | 2,8286 | 0,3535 | 3,0909 | 0,3235 | 0,9803 | 2,7729 | 3,0300 |
4 | 1,1255 | 0,8885 | 3,7171 | 0,2690 | 4,1836 | 0,2390 | 1,4631 | 5,4383 | 6,1209 |
5 | 1,1593 | 0,8626 | 4,5797 | 0,2184 | 5,3091 | 0,1884 | 1,9409 | 8,8888 | 10,3045 |
6 | 1,1941 | 0,8375 | 5,4172 | 0,1846 | 6,4684 | 0,1546 | 2,4138 | 13,0762 | 15,6137 |
7 | 1,2299 | 0,8131 | 6,2303 | 0,1605 | 7,6625 | 0,1305 | 2,8819 | 17,9547 | 22,0821 |
8 | 1,2668 | 0,7894 | 7,0197 | 0,1425 | 8,8923 | 0,1125 | 3,3450 | 23,4806 | 29,7445 |
9 | 1,3048 | 0,7664 | 7,7861 | 0,1284 | 10,1591 | 0,0984 | 3,8032 | 29,6119 | 38,6369 |
10 | 1,3439 | 0,7441 | 8,5302 | 0,1172 | 11,4639 | 0,0872 | 4,2565 | 36,3088 | 48,7960 |
11 | 1,3842 | 0,7224 | 9,2526 | 0,1081 | 12,8078 | 0,0781 | 4,7049 | 43,5330 | 60,2599 |
12 | 1,4258 | 0,7014 | 9,9540 | 0,1005 | 14,1920 | 0,0705 | 5,1485 | 51,2482 | 73,0677 |
13 | 1,4685 | 0,6810 | 10,6350 | 0,0940 | 15,6178 | 0,0640 | 5,5872 | 59,4196 | 87,2597 |
14 | 1,5126 | 0,6611 | 11,2961 | 0,0885 | 17,0863 | 0,0585 | 6,0210 | 68,0141 | 102,8775 |
15 | 1,5580 | 0,6419 | 11,9379 | 0,0838 | 18,5989 | 0,0538 | 6,4500 | 77,0002 | 119,9638 |
16 | 1,6047 | 0,6232 | 12,5611 | 0,0796 | 20,1569 | 0,0496 | 6,8742 | 86,3477 | 138,5627 |
17 | 1,6528 | 0,6050 | 13,1661 | 0,0760 | 21,7616 | 0,0460 | 7,2936 | 96,0280 | 158,7196 |
18 | 1,7024 | 0,5874 | 13,7535 | 0,0727 | 23,4144 | 0,0427 | 7,7081 | 106,0137 | 180,4812 |
19 | 1,7535 | 0,5703 | 14,3238 | 0,0698 | 25,1169 | 0,0398 | 8,1179 | 116,2788 | 203,8956 |
20 | 1,8061 | 0,5537 | 14,8775 | 0,0672 | 26,8704 | 0,0372 | 8,5229 | 126,7987 | 229,0125 |
21 | 1,8603 | 0,5375 | 15,4150 | 0,0649 | 28,6765 | 0,0349 | 8,9231 | 137,5496 | 255,8829 |
22 | 1,9161 | 0,5219 | 15,9369 | 0,0627 | 30,5368 | 0,0327 | 9,3186 | 148,5094 | 284,5593 |
23 | 1,9736 | 0,5067 | 16,4436 | 0,0608 | 32,4529 | 0,0308 | 9,7093 | 159,6566 | 315,0961 |
24 | 2,0328 | 0,4919 | 16,9355 | 0,0590 | 34,4265 | 0,0290 | 10,0954 | 170,9711 | 347,5490 |
25 | 2,0938 | 0,4776 | 17,4131 | 0,0574 | 36,4593 | 0,0274 | 10,4768 | 182,4336 | 381,9755 |
4% | Egyszeri | Egyenletes | Lineárisan növekvő | ||||||
N | F/P | P/F | P/A | A/P | F/A | A/F | A/G | P/G | F/G |
1 | 1,0400 | 0,9615 | 0,9615 | 1,0400 | 1,0000 | 1,0000 | 0,0000 | 0,0000 | 0,0000 |
2 | 1,0816 | 0,9246 | 1,8861 | 0,5302 | 2,0400 | 0,4902 | 0,4902 | 0,9246 | 1,0000 |
3 | 1,1249 | 0,8890 | 2,7751 | 0,3603 | 3,1216 | 0,3203 | 0,9739 | 2,7025 | 3,0400 |
4 | 1,1699 | 0,8548 | 3,6299 | 0,2755 | 4,2465 | 0,2355 | 1,4510 | 5,2670 | 6,1616 |
5 | 1,2167 | 0,8219 | 4,4518 | 0,2246 | 5,4163 | 0,1846 | 1,9216 | 8,5547 | 10,4081 |
6 | 1,2653 | 0,7903 | 5,2421 | 0,1908 | 6,6330 | 0,1508 | 2,3857 | 12,5062 | 15,8244 |
7 | 1,3159 | 0,7599 | 6,0021 | 0,1666 | 7,8983 | 0,1266 | 2,8433 | 17,0657 | 22,4574 |
8 | 1,3686 | 0,7307 | 6,7327 | 0,1485 | 9,2142 | 0,1085 | 3,2944 | 22,1806 | 30,3557 |
9 | 1,4233 | 0,7026 | 7,4353 | 0,1345 | 10,5828 | 0,0945 | 3,7391 | 27,8013 | 39,5699 |
10 | 1,4802 | 0,6756 | 8,1109 | 0,1233 | 12,0061 | 0,0833 | 4,1773 | 33,8814 | 50,1527 |
11 | 1,5395 | 0,6496 | 8,7605 | 0,1141 | 13,4864 | 0,0741 | 4,6090 | 40,3772 | 62,1588 |
12 | 1,6010 | 0,6246 | 9,3851 | 0,1066 | 15,0258 | 0,0666 | 5,0343 | 47,2477 | 75,6451 |
13 | 1,6651 | 0,6006 | 9,9856 | 0,1001 | 16,6268 | 0,0601 | 5,4533 | 54,4546 | 90,6709 |
14 | 1,7317 | 0,5775 | 10,5631 | 0,0947 | 18,2919 | 0,0547 | 5,8659 | 61,9618 | 107,2978 |
15 | 1,8009 | 0,5553 | 11,1184 | 0,0899 | 20,0236 | 0,0499 | 6,2721 | 69,7355 | 125,5897 |
16 | 1,8730 | 0,5339 | 11,6523 | 0,0858 | 21,8245 | 0,0458 | 6,6720 | 77,7441 | 145,6133 |
17 | 1,9479 | 0,5134 | 12,1657 | 0,0822 | 23,6975 | 0,0422 | 7,0656 | 85,9581 | 167,4378 |
18 | 2,0258 | 0,4936 | 12,6593 | 0,0790 | 25,6454 | 0,0390 | 7,4530 | 94,3498 | 191,1353 |
19 | 2,1068 | 0,4746 | 13,1339 | 0,0761 | 27,6712 | 0,0361 | 7,8342 | 102,8933 | 216,7807 |
20 | 2,1911 | 0,4564 | 13,5903 | 0,0736 | 29,7781 | 0,0336 | 8,2091 | 111,5647 | 244,4520 |
21 | 2,2788 | 0,4388 | 14,0292 | 0,0713 | 31,9692 | 0,0313 | 8,5779 | 120,3414 | 274,2300 |
22 | 2,3699 | 0,4220 | 14,4511 | 0,0692 | 34,2480 | 0,0292 | 8,9407 | 129,2024 | 306,1992 |
23 | 2,4647 | 0,4057 | 14,8568 | 0,0673 | 36,6179 | 0,0273 | 9,2973 | 138,1284 | 340,4472 |
24 | 2,5633 | 0,3901 | 15,2470 | 0,0656 | 39,0826 | 0,0256 | 9,6479 | 147,1012 | 377,0651 |
25 | 2,6658 | 0,3751 | 15,6221 | 0,0640 | 41,6459 | 0,0240 | 9,9925 | 156,1040 | 416,1477 |
5% | Egyszeri | Egyenletes | Lineárisan növekvő | ||||||
N | F/P | P/F | P/A | A/P | F/A | A/F | A/G | P/G | F/G |
1 | 1,0500 | 0,9524 | 0,9524 | 1,0500 | 1,0000 | 1,0000 | 0,0000 | 0,0000 | 0,0000 |
2 | 1,1025 | 0,9070 | 1,8594 | 0,5378 | 2,0500 | 0,4878 | 0,4878 | 0,9070 | 1,0000 |
3 | 1,1576 | 0,8638 | 2,7232 | 0,3672 | 3,1525 | 0,3172 | 0,9675 | 2,6347 | 3,0500 |
4 | 1,2155 | 0,8227 | 3,5460 | 0,2820 | 4,3101 | 0,2320 | 1,4391 | 5,1028 | 6,2025 |
5 | 1,2763 | 0,7835 | 4,3295 | 0,2310 | 5,5256 | 0,1810 | 1,9025 | 8,2369 | 10,5126 |
6 | 1,3401 | 0,7462 | 5,0757 | 0,1970 | 6,8019 | 0,1470 | 2,3579 | 11,9680 | 16,0383 |
7 | 1,4071 | 0,7107 | 5,7864 | 0,1728 | 8,1420 | 0,1228 | 2,8052 | 16,2321 | 22,8402 |
8 | 1,4775 | 0,6768 | 6,4632 | 0,1547 | 9,5491 | 0,1047 | 3,2445 | 20,9700 | 30,9822 |
9 | 1,5513 | 0,6446 | 7,1078 | 0,1407 | 11,0266 | 0,0907 | 3,6758 | 26,1268 | 40,5313 |
10 | 1,6289 | 0,6139 | 7,7217 | 0,1295 | 12,5779 | 0,0795 | 4,0991 | 31,6520 | 51,5579 |
11 | 1,7103 | 0,5847 | 8,3064 | 0,1204 | 14,2068 | 0,0704 | 4,5144 | 37,4988 | 64,1357 |
12 | 1,7959 | 0,5568 | 8,8633 | 0,1128 | 15,9171 | 0,0628 | 4,9219 | 43,6241 | 78,3425 |
13 | 1,8856 | 0,5303 | 9,3936 | 0,1065 | 17,7130 | 0,0565 | 5,3215 | 49,9879 | 94,2597 |
14 | 1,9799 | 0,5051 | 9,8986 | 0,1010 | 19,5986 | 0,0510 | 5,7133 | 56,5538 | 111,9726 |
15 | 2,0789 | 0,4810 | 10,3797 | 0,0963 | 21,5786 | 0,0463 | 6,0973 | 63,2880 | 131,5713 |
16 | 2,1829 | 0,4581 | 10,8378 | 0,0923 | 23,6575 | 0,0423 | 6,4736 | 70,1597 | 153,1498 |
17 | 2,2920 | 0,4363 | 11,2741 | 0,0887 | 25,8404 | 0,0387 | 6,8423 | 77,1405 | 176,8073 |
18 | 2,4066 | 0,4155 | 11,6896 | 0,0855 | 28,1324 | 0,0355 | 7,2034 | 84,2043 | 202,6477 |
19 | 2,5270 | 0,3957 | 12,0853 | 0,0827 | 30,5390 | 0,0327 | 7,5569 | 91,3275 | 230,7801 |
20 | 2,6533 | 0,3769 | 12,4622 | 0,0802 | 33,0660 | 0,0302 | 7,9030 | 98,4884 | 261,3191 |
21 | 2,7860 | 0,3589 | 12,8212 | 0,0780 | 35,7193 | 0,0280 | 8,2416 | 105,6673 | 294,3850 |
22 | 2,9253 | 0,3418 | 13,1630 | 0,0760 | 38,5052 | 0,0260 | 8,5730 | 112,8461 | 330,1043 |
23 | 3,0715 | 0,3256 | 13,4886 | 0,0741 | 41,4305 | 0,0241 | 8,8971 | 120,0087 | 368,6095 |
24 | 3,2251 | 0,3101 | 13,7986 | 0,0725 | 44,5020 | 0,0225 | 9,2140 | 127,1402 | 410,0400 |
25 | 3,3864 | 0,2953 | 14,0939 | 0,0710 | 47,7271 | 0,0210 | 9,5238 | 134,2275 | 454,5420 |
6% | Egyszeri | Egyenletes | Lineárisan növekvő | ||||||
N | F/P | P/F | P/A | A/P | F/A | A/F | A/G | P/G | F/G |
1 | 1,0600 | 0,9434 | 0,9434 | 1,0600 | 1,0000 | 1,0000 | 0,0000 | 0,0000 | 0,0000 |
2 | 1,1236 | 0,8900 | 1,8334 | 0,5454 | 2,0600 | 0,4854 | 0,4854 | 0,8900 | 1,0000 |
3 | 1,1910 | 0,8396 | 2,6730 | 0,3741 | 3,1836 | 0,3141 | 0,9612 | 2,5692 | 3,0600 |
4 | 1,2625 | 0,7921 | 3,4651 | 0,2886 | 4,3746 | 0,2286 | 1,4272 | 4,9455 | 6,2436 |
5 | 1,3382 | 0,7473 | 4,2124 | 0,2374 | 5,6371 | 0,1774 | 1,8836 | 7,9345 | 10,6182 |
6 | 1,4185 | 0,7050 | 4,9173 | 0,2034 | 6,9753 | 0,1434 | 2,3304 | 11,4594 | 16,2553 |
7 | 1,5036 | 0,6651 | 5,5824 | 0,1791 | 8,3938 | 0,1191 | 2,7676 | 15,4497 | 23,2306 |
8 | 1,5938 | 0,6274 | 6,2098 | 0,1610 | 9,8975 | 0,1010 | 3,1952 | 19,8416 | 31,6245 |
9 | 1,6895 | 0,5919 | 6,8017 | 0,1470 | 11,4913 | 0,0870 | 3,6133 | 24,5768 | 41,5219 |
10 | 1,7908 | 0,5584 | 7,3601 | 0,1359 | 13,1808 | 0,0759 | 4,0220 | 29,6023 | 53,0132 |
11 | 1,8983 | 0,5268 | 7,8869 | 0,1268 | 14,9716 | 0,0668 | 4,4213 | 34,8702 | 66,1940 |
12 | 2,0122 | 0,4970 | 8,3838 | 0,1193 | 16,8699 | 0,0593 | 4,8113 | 40,3369 | 81,1657 |
13 | 2,1329 | 0,4688 | 8,8527 | 0,1130 | 18,8821 | 0,0530 | 5,1920 | 45,9629 | 98,0356 |
14 | 2,2609 | 0,4423 | 9,2950 | 0,1076 | 21,0151 | 0,0476 | 5,5635 | 51,7128 | 116,9178 |
15 | 2,3966 | 0,4173 | 9,7122 | 0,1030 | 23,2760 | 0,0430 | 5,9260 | 57,5546 | 137,9328 |
16 | 2,5404 | 0,3936 | 10,1059 | 0,0990 | 25,6725 | 0,0390 | 6,2794 | 63,4592 | 161,2088 |
17 | 2,6928 | 0,3714 | 10,4773 | 0,0954 | 28,2129 | 0,0354 | 6,6240 | 69,4011 | 186,8813 |
18 | 2,8543 | 0,3503 | 10,8276 | 0,0924 | 30,9057 | 0,0324 | 6,9597 | 75,3569 | 215,0942 |
19 | 3,0256 | 0,3305 | 11,1581 | 0,0896 | 33,7600 | 0,0296 | 7,2867 | 81,3062 | 245,9999 |
20 | 3,2071 | 0,3118 | 11,4699 | 0,0872 | 36,7856 | 0,0272 | 7,6051 | 87,2304 | 279,7599 |
21 | 3,3996 | 0,2942 | 11,7641 | 0,0850 | 39,9927 | 0,0250 | 7,9151 | 93,1136 | 316,5454 |
22 | 3,6035 | 0,2775 | 12,0416 | 0,0830 | 43,3923 | 0,0230 | 8,2166 | 98,9412 | 356,5382 |
23 | 3,8197 | 0,2618 | 12,3034 | 0,0813 | 46,9958 | 0,0213 | 8,5099 | 104,7007 | 399,9305 |
24 | 4,0489 | 0,2470 | 12,5504 | 0,0797 | 50,8156 | 0,0197 | 8,7951 | 110,3812 | 446,9263 |
25 | 4,2919 | 0,2330 | 12,7834 | 0,0782 | 54,8645 | 0,0182 | 9,0722 | 115,9732 | 497,7419 |
7% | Egyszeri | Egyenletes | Lineárisan növekvő | ||||||
N | F/P | P/F | P/A | A/P | F/A | A/F | A/G | P/G | F/G |
1 | 1,0700 | 0,9346 | 0,9346 | 1,0700 | 1,0000 | 1,0000 | 0,0000 | 0,0000 | 0,0000 |
2 | 1,1449 | 0,8734 | 1,8080 | 0,5531 | 2,0700 | 0,4831 | 0,4831 | 0,8734 | 1,0000 |
3 | 1,2250 | 0,8163 | 2,6243 | 0,3811 | 3,2149 | 0,3111 | 0,9549 | 2,5060 | 3,0700 |
4 | 1,3108 | 0,7629 | 3,3872 | 0,2952 | 4,4399 | 0,2252 | 1,4155 | 4,7947 | 6,2849 |
5 | 1,4026 | 0,7130 | 4,1002 | 0,2439 | 5,7507 | 0,1739 | 1,8650 | 7,6467 | 10,7248 |
6 | 1,5007 | 0,6663 | 4,7665 | 0,2098 | 7,1533 | 0,1398 | 2,3032 | 10,9784 | 16,4756 |
7 | 1,6058 | 0,6227 | 5,3893 | 0,1856 | 8,6540 | 0,1156 | 2,7304 | 14,7149 | 23,6289 |
8 | 1,7182 | 0,5820 | 5,9713 | 0,1675 | 10,2598 | 0,0975 | 3,1465 | 18,7889 | 32,2829 |
9 | 1,8385 | 0,5439 | 6,5152 | 0,1535 | 11,9780 | 0,0835 | 3,5517 | 23,1404 | 42,5427 |
10 | 1,9672 | 0,5083 | 7,0236 | 0,1424 | 13,8164 | 0,0724 | 3,9461 | 27,7156 | 54,5207 |
11 | 2,1049 | 0,4751 | 7,4987 | 0,1334 | 15,7836 | 0,0634 | 4,3296 | 32,4665 | 68,3371 |
12 | 2,2522 | 0,4440 | 7,9427 | 0,1259 | 17,8885 | 0,0559 | 4,7025 | 37,3506 | 84,1207 |
13 | 2,4098 | 0,4150 | 8,3577 | 0,1197 | 20,1406 | 0,0497 | 5,0648 | 42,3302 | 102,0092 |
14 | 2,5785 | 0,3878 | 8,7455 | 0,1143 | 22,5505 | 0,0443 | 5,4167 | 47,3718 | 122,1498 |
15 | 2,7590 | 0,3624 | 9,1079 | 0,1098 | 25,1290 | 0,0398 | 5,7583 | 52,4461 | 144,7003 |
16 | 2,9522 | 0,3387 | 9,4466 | 0,1059 | 27,8881 | 0,0359 | 6,0897 | 57,5271 | 169,8293 |
17 | 3,1588 | 0,3166 | 9,7632 | 0,1024 | 30,8402 | 0,0324 | 6,4110 | 62,5923 | 197,7174 |
18 | 3,3799 | 0,2959 | 10,0591 | 0,0994 | 33,9990 | 0,0294 | 6,7225 | 67,6219 | 228,5576 |
19 | 3,6165 | 0,2765 | 10,3356 | 0,0968 | 37,3790 | 0,0268 | 7,0242 | 72,5991 | 262,5566 |
20 | 3,8697 | 0,2584 | 10,5940 | 0,0944 | 40,9955 | 0,0244 | 7,3163 | 77,5091 | 299,9356 |
21 | 4,1406 | 0,2415 | 10,8355 | 0,0923 | 44,8652 | 0,0223 | 7,5990 | 82,3393 | 340,9311 |
22 | 4,4304 | 0,2257 | 11,0612 | 0,0904 | 49,0057 | 0,0204 | 7,8725 | 87,0793 | 385,7963 |
23 | 4,7405 | 0,2109 | 11,2722 | 0,0887 | 53,4361 | 0,0187 | 8,1369 | 91,7201 | 434,8020 |
24 | 5,0724 | 0,1971 | 11,4693 | 0,0872 | 58,1767 | 0,0172 | 8,3923 | 96,2545 | 488,2382 |
25 | 5,4274 | 0,1842 | 11,6536 | 0,0858 | 63,2490 | 0,0158 | 8,6391 | 100,6765 | 546,4148 |
8% | Egyszeri | Egyenletes | Lineárisan növekvő | ||||||
N | F/P | P/F | P/A | A/P | F/A | A/F | A/G | P/G | F/G |
1 | 1,0800 | 0,9259 | 0,9259 | 1,0800 | 1,0000 | 1,0000 | 0,0000 | 0,0000 | 0,0000 |
2 | 1,1664 | 0,8573 | 1,7833 | 0,5608 | 2,0800 | 0,4808 | 0,4808 | 0,8573 | 1,0000 |
3 | 1,2597 | 0,7938 | 2,5771 | 0,3880 | 3,2464 | 0,3080 | 0,9487 | 2,4450 | 3,0800 |
4 | 1,3605 | 0,7350 | 3,3121 | 0,3019 | 4,5061 | 0,2219 | 1,4040 | 4,6501 | 6,3264 |
5 | 1,4693 | 0,6806 | 3,9927 | 0,2505 | 5,8666 | 0,1705 | 1,8465 | 7,3724 | 10,8325 |
6 | 1,5869 | 0,6302 | 4,6229 | 0,2163 | 7,3359 | 0,1363 | 2,2763 | 10,5233 | 16,6991 |
7 | 1,7138 | 0,5835 | 5,2064 | 0,1921 | 8,9228 | 0,1121 | 2,6937 | 14,0242 | 24,0350 |
8 | 1,8509 | 0,5403 | 5,7466 | 0,1740 | 10,6366 | 0,0940 | 3,0985 | 17,8061 | 32,9578 |
9 | 1,9990 | 0,5002 | 6,2469 | 0,1601 | 12,4876 | 0,0801 | 3,4910 | 21,8081 | 43,5945 |
10 | 2,1589 | 0,4632 | 6,7101 | 0,1490 | 14,4866 | 0,0690 | 3,8713 | 25,9768 | 56,0820 |
11 | 2,3316 | 0,4289 | 7,1390 | 0,1401 | 16,6455 | 0,0601 | 4,2395 | 30,2657 | 70,5686 |
12 | 2,5182 | 0,3971 | 7,5361 | 0,1327 | 18,9771 | 0,0527 | 4,5957 | 34,6339 | 87,2141 |
13 | 2,7196 | 0,3677 | 7,9038 | 0,1265 | 21,4953 | 0,0465 | 4,9402 | 39,0463 | 106,1912 |
14 | 2,9372 | 0,3405 | 8,2442 | 0,1213 | 24,2149 | 0,0413 | 5,2731 | 43,4723 | 127,6865 |
15 | 3,1722 | 0,3152 | 8,5595 | 0,1168 | 27,1521 | 0,0368 | 5,5945 | 47,8857 | 151,9014 |
16 | 3,4259 | 0,2919 | 8,8514 | 0,1130 | 30,3243 | 0,0330 | 5,9046 | 52,2640 | 179,0535 |
17 | 3,7000 | 0,2703 | 9,1216 | 0,1096 | 33,7502 | 0,0296 | 6,2037 | 56,5883 | 209,3778 |
18 | 3,9960 | 0,2502 | 9,3719 | 0,1067 | 37,4502 | 0,0267 | 6,4920 | 60,8426 | 243,1280 |
19 | 4,3157 | 0,2317 | 9,6036 | 0,1041 | 41,4463 | 0,0241 | 6,7697 | 65,0134 | 280,5783 |
20 | 4,6610 | 0,2145 | 9,8181 | 0,1019 | 45,7620 | 0,0219 | 7,0369 | 69,0898 | 322,0246 |
21 | 5,0338 | 0,1987 | 10,0168 | 0,0998 | 50,4229 | 0,0198 | 7,2940 | 73,0629 | 367,7865 |
22 | 5,4365 | 0,1839 | 10,2007 | 0,0980 | 55,4568 | 0,0180 | 7,5412 | 76,9257 | 418,2094 |
23 | 5,8715 | 0,1703 | 10,3711 | 0,0964 | 60,8933 | 0,0164 | 7,7786 | 80,6726 | 473,6662 |
24 | 6,3412 | 0,1577 | 10,5288 | 0,0950 | 66,7648 | 0,0150 | 8,0066 | 84,2997 | 534,5595 |
25 | 6,8485 | 0,1460 | 10,6748 | 0,0937 | 73,1059 | 0,0137 | 8,2254 | 87,8041 | 601,3242 |
9% | Egyszeri | Egyenletes | Lineárisan növekvő | ||||||
N | F/P | P/F | P/A | A/P | F/A | A/F | A/G | P/G | F/G |
1 | 1,0900 | 0,9174 | 0,9174 | 1,0900 | 1,0000 | 1,0000 | 0,0000 | 0,0000 | 0,0000 |
2 | 1,1881 | 0,8417 | 1,7591 | 0,5685 | 2,0900 | 0,4785 | 0,4785 | 0,8417 | 1,0000 |
3 | 1,2950 | 0,7722 | 2,5313 | 0,3951 | 3,2781 | 0,3051 | 0,9426 | 2,3860 | 3,0900 |
4 | 1,4116 | 0,7084 | 3,2397 | 0,3087 | 4,5731 | 0,2187 | 1,3925 | 4,5113 | 6,3681 |
5 | 1,5386 | 0,6499 | 3,8897 | 0,2571 | 5,9847 | 0,1671 | 1,8282 | 7,1110 | 10,9412 |
6 | 1,6771 | 0,5963 | 4,4859 | 0,2229 | 7,5233 | 0,1329 | 2,2498 | 10,0924 | 16,9259 |
7 | 1,8280 | 0,5470 | 5,0330 | 0,1987 | 9,2004 | 0,1087 | 2,6574 | 13,3746 | 24,4493 |
8 | 1,9926 | 0,5019 | 5,5348 | 0,1807 | 11,0285 | 0,0907 | 3,0512 | 16,8877 | 33,6497 |
9 | 2,1719 | 0,4604 | 5,9952 | 0,1668 | 13,0210 | 0,0768 | 3,4312 | 20,5711 | 44,6782 |
10 | 2,3674 | 0,4224 | 6,4177 | 0,1558 | 15,1929 | 0,0658 | 3,7978 | 24,3728 | 57,6992 |
11 | 2,5804 | 0,3875 | 6,8052 | 0,1469 | 17,5603 | 0,0569 | 4,1510 | 28,2481 | 72,8921 |
12 | 2,8127 | 0,3555 | 7,1607 | 0,1397 | 20,1407 | 0,0497 | 4,4910 | 32,1590 | 90,4524 |
13 | 3,0658 | 0,3262 | 7,4869 | 0,1336 | 22,9534 | 0,0436 | 4,8182 | 36,0731 | 110,5932 |
14 | 3,3417 | 0,2992 | 7,7862 | 0,1284 | 26,0192 | 0,0384 | 5,1326 | 39,9633 | 133,5465 |
15 | 3,6425 | 0,2745 | 8,0607 | 0,1241 | 29,3609 | 0,0341 | 5,4346 | 43,8069 | 159,5657 |
16 | 3,9703 | 0,2519 | 8,3126 | 0,1203 | 33,0034 | 0,0303 | 5,7245 | 47,5849 | 188,9267 |
17 | 4,3276 | 0,2311 | 8,5436 | 0,1170 | 36,9737 | 0,0270 | 6,0024 | 51,2821 | 221,9301 |
18 | 4,7171 | 0,2120 | 8,7556 | 0,1142 | 41,3013 | 0,0242 | 6,2687 | 54,8860 | 258,9038 |
19 | 5,1417 | 0,1945 | 8,9501 | 0,1117 | 46,0185 | 0,0217 | 6,5236 | 58,3868 | 300,2051 |
20 | 5,6044 | 0,1784 | 9,1285 | 0,1095 | 51,1601 | 0,0195 | 6,7674 | 61,7770 | 346,2236 |
21 | 6,1088 | 0,1637 | 9,2922 | 0,1076 | 56,7645 | 0,0176 | 7,0006 | 65,0509 | 397,3837 |
22 | 6,6586 | 0,1502 | 9,4424 | 0,1059 | 62,8733 | 0,0159 | 7,2232 | 68,2048 | 454,1482 |
23 | 7,2579 | 0,1378 | 9,5802 | 0,1044 | 69,5319 | 0,0144 | 7,4357 | 71,2359 | 517,0215 |
24 | 7,9111 | 0,1264 | 9,7066 | 0,1030 | 76,7898 | 0,0130 | 7,6384 | 74,1433 | 586,5535 |
25 | 8,6231 | 0,1160 | 9,8226 | 0,1018 | 84,7009 | 0,0118 | 7,8316 | 76,9265 | 663,3433 |
10% | Egyszeri | Egyenletes | Lineárisan növekvő | ||||||
N | F/P | P/F | P/A | A/P | F/A | A/F | A/G | P/G | F/G |
1 | 1,1000 | 0,9091 | 0,9091 | 1,1000 | 1,0000 | 1,0000 | 0,0000 | 0,0000 | 0,0000 |
2 | 1,2100 | 0,8264 | 1,7355 | 0,5762 | 2,1000 | 0,4762 | 0,4762 | 0,8264 | 1,0000 |
3 | 1,3310 | 0,7513 | 2,4869 | 0,4021 | 3,3100 | 0,3021 | 0,9366 | 2,3291 | 3,1000 |
4 | 1,4641 | 0,6830 | 3,1699 | 0,3155 | 4,6410 | 0,2155 | 1,3812 | 4,3781 | 6,4100 |
5 | 1,6105 | 0,6209 | 3,7908 | 0,2638 | 6,1051 | 0,1638 | 1,8101 | 6,8618 | 11,0510 |
6 | 1,7716 | 0,5645 | 4,3553 | 0,2296 | 7,7156 | 0,1296 | 2,2236 | 9,6842 | 17,1561 |
7 | 1,9487 | 0,5132 | 4,8684 | 0,2054 | 9,4872 | 0,1054 | 2,6216 | 12,7631 | 24,8717 |
8 | 2,1436 | 0,4665 | 5,3349 | 0,1874 | 11,4359 | 0,0874 | 3,0045 | 16,0287 | 34,3589 |
9 | 2,3579 | 0,4241 | 5,7590 | 0,1736 | 13,5795 | 0,0736 | 3,3724 | 19,4215 | 45,7948 |
10 | 2,5937 | 0,3855 | 6,1446 | 0,1627 | 15,9374 | 0,0627 | 3,7255 | 22,8913 | 59,3742 |
11 | 2,8531 | 0,3505 | 6,4951 | 0,1540 | 18,5312 | 0,0540 | 4,0641 | 26,3963 | 75,3117 |
12 | 3,1384 | 0,3186 | 6,8137 | 0,1468 | 21,3843 | 0,0468 | 4,3884 | 29,9012 | 93,8428 |
13 | 3,4523 | 0,2897 | 7,1034 | 0,1408 | 24,5227 | 0,0408 | 4,6988 | 33,3772 | 115,2271 |
14 | 3,7975 | 0,2633 | 7,3667 | 0,1357 | 27,9750 | 0,0357 | 4,9955 | 36,8005 | 139,7498 |
15 | 4,1772 | 0,2394 | 7,6061 | 0,1315 | 31,7725 | 0,0315 | 5,2789 | 40,1520 | 167,7248 |
16 | 4,5950 | 0,2176 | 7,8237 | 0,1278 | 35,9497 | 0,0278 | 5,5493 | 43,4164 | 199,4973 |
17 | 5,0545 | 0,1978 | 8,0216 | 0,1247 | 40,5447 | 0,0247 | 5,8071 | 46,5819 | 235,4470 |
18 | 5,5599 | 0,1799 | 8,2014 | 0,1219 | 45,5992 | 0,0219 | 6,0526 | 49,6395 | 275,9917 |
19 | 6,1159 | 0,1635 | 8,3649 | 0,1195 | 51,1591 | 0,0195 | 6,2861 | 52,5827 | 321,5909 |
20 | 6,7275 | 0,1486 | 8,5136 | 0,1175 | 57,2750 | 0,0175 | 6,5081 | 55,4069 | 372,7500 |
21 | 7,4002 | 0,1351 | 8,6487 | 0,1156 | 64,0025 | 0,0156 | 6,7189 | 58,1095 | 430,0250 |
22 | 8,1403 | 0,1228 | 8,7715 | 0,1140 | 71,4027 | 0,0140 | 6,9189 | 60,6893 | 494,0275 |
23 | 8,9543 | 0,1117 | 8,8832 | 0,1126 | 79,5430 | 0,0126 | 7,1085 | 63,1462 | 565,4302 |
24 | 9,8497 | 0,1015 | 8,9847 | 0,1113 | 88,4973 | 0,0113 | 7,2881 | 65,4813 | 644,9733 |
25 | 10,8347 | 0,0923 | 9,0770 | 0,1102 | 98,3471 | 0,0102 | 7,4580 | 67,6964 | 733,4706 |
11% | Egyszeri | Egyenletes | Lineárisan növekvő | ||||||
N | F/P | P/F | P/A | A/P | F/A | A/F | A/G | P/G | F/G |
1 | 1,1100 | 0,9009 | 0,9009 | 1,1100 | 1,0000 | 1,0000 | 0,0000 | 0,0000 | 0,0000 |
2 | 1,2321 | 0,8116 | 1,7125 | 0,5839 | 2,1100 | 0,4739 | 0,4739 | 0,8116 | 1,0000 |
3 | 1,3676 | 0,7312 | 2,4437 | 0,4092 | 3,3421 | 0,2992 | 0,9306 | 2,2740 | 3,1100 |
4 | 1,5181 | 0,6587 | 3,1024 | 0,3223 | 4,7097 | 0,2123 | 1,3700 | 4,2502 | 6,4521 |
5 | 1,6851 | 0,5935 | 3,6959 | 0,2706 | 6,2278 | 0,1606 | 1,7923 | 6,6240 | 11,1618 |
6 | 1,8704 | 0,5346 | 4,2305 | 0,2364 | 7,9129 | 0,1264 | 2,1976 | 9,2972 | 17,3896 |
7 | 2,0762 | 0,4817 | 4,7122 | 0,2122 | 9,7833 | 0,1022 | 2,5863 | 12,1872 | 25,3025 |
8 | 2,3045 | 0,4339 | 5,1461 | 0,1943 | 11,8594 | 0,0843 | 2,9585 | 15,2246 | 35,0858 |
9 | 2,5580 | 0,3909 | 5,5370 | 0,1806 | 14,1640 | 0,0706 | 3,3144 | 18,3520 | 46,9452 |
10 | 2,8394 | 0,3522 | 5,8892 | 0,1698 | 16,7220 | 0,0598 | 3,6544 | 21,5217 | 61,1092 |
11 | 3,1518 | 0,3173 | 6,2065 | 0,1611 | 19,5614 | 0,0511 | 3,9788 | 24,6945 | 77,8312 |
12 | 3,4985 | 0,2858 | 6,4924 | 0,1540 | 22,7132 | 0,0440 | 4,2879 | 27,8388 | 97,3926 |
13 | 3,8833 | 0,2575 | 6,7499 | 0,1482 | 26,2116 | 0,0382 | 4,5822 | 30,9290 | 120,1058 |
14 | 4,3104 | 0,2320 | 6,9819 | 0,1432 | 30,0949 | 0,0332 | 4,8619 | 33,9449 | 146,3174 |
15 | 4,7846 | 0,2090 | 7,1909 | 0,1391 | 34,4054 | 0,0291 | 5,1275 | 36,8709 | 176,4124 |
16 | 5,3109 | 0,1883 | 7,3792 | 0,1355 | 39,1899 | 0,0255 | 5,3794 | 39,6953 | 210,8177 |
17 | 5,8951 | 0,1696 | 7,5488 | 0,1325 | 44,5008 | 0,0225 | 5,6180 | 42,4095 | 250,0077 |
18 | 6,5436 | 0,1528 | 7,7016 | 0,1298 | 50,3959 | 0,0198 | 5,8439 | 45,0074 | 294,5085 |
19 | 7,2633 | 0,1377 | 7,8393 | 0,1276 | 56,9395 | 0,0176 | 6,0574 | 47,4856 | 344,9044 |
20 | 8,0623 | 0,1240 | 7,9633 | 0,1256 | 64,2028 | 0,0156 | 6,2590 | 49,8423 | 401,8439 |
21 | 8,9492 | 0,1117 | 8,0751 | 0,1238 | 72,2651 | 0,0138 | 6,4491 | 52,0771 | 466,0468 |
22 | 9,9336 | 0,1007 | 8,1757 | 0,1223 | 81,2143 | 0,0123 | 6,6283 | 54,1912 | 538,3119 |
23 | 11,0263 | 0,0907 | 8,2664 | 0,1210 | 91,1479 | 0,0110 | 6,7969 | 56,1864 | 619,5262 |
24 | 12,2392 | 0,0817 | 8,3481 | 0,1198 | 102,174 | 0,0098 | 6,9555 | 58,0656 | 710,6741 |
25 | 13,5855 | 0,0736 | 8,4217 | 0,1187 | 114,413 | 0,0087 | 7,1045 | 59,8322 | 812,8482 |
12% | Egyszeri | Egyenletes | Lineárisan növekvő | ||||||
N | F/P | P/F | P/A | A/P | F/A | A/F | A/G | P/G | F/G |
1 | 1,1200 | 0,8929 | 0,8929 | 1,1200 | 1,0000 | 1,0000 | 0,0000 | 0,0000 | 0,0000 |
2 | 1,2544 | 0,7972 | 1,6901 | 0,5917 | 2,1200 | 0,4717 | 0,4717 | 0,7972 | 1,0000 |
3 | 1,4049 | 0,7118 | 2,4018 | 0,4163 | 3,3744 | 0,2963 | 0,9246 | 2,2208 | 3,1200 |
4 | 1,5735 | 0,6355 | 3,0373 | 0,3292 | 4,7793 | 0,2092 | 1,3589 | 4,1273 | 6,4944 |
5 | 1,7623 | 0,5674 | 3,6048 | 0,2774 | 6,3528 | 0,1574 | 1,7746 | 6,3970 | 11,2737 |
6 | 1,9738 | 0,5066 | 4,1114 | 0,2432 | 8,1152 | 0,1232 | 2,1720 | 8,9302 | 17,6266 |
7 | 2,2107 | 0,4523 | 4,5638 | 0,2191 | 10,0890 | 0,0991 | 2,5515 | 11,6443 | 25,7418 |
8 | 2,4760 | 0,4039 | 4,9676 | 0,2013 | 12,2997 | 0,0813 | 2,9131 | 14,4714 | 35,8308 |
9 | 2,7731 | 0,3606 | 5,3282 | 0,1877 | 14,7757 | 0,0677 | 3,2574 | 17,3563 | 48,1305 |
10 | 3,1058 | 0,3220 | 5,6502 | 0,1770 | 17,5487 | 0,0570 | 3,5847 | 20,2541 | 62,9061 |
11 | 3,4785 | 0,2875 | 5,9377 | 0,1684 | 20,6546 | 0,0484 | 3,8953 | 23,1288 | 80,4549 |
12 | 3,8960 | 0,2567 | 6,1944 | 0,1614 | 24,1331 | 0,0414 | 4,1897 | 25,9523 | 101,1094 |
13 | 4,3635 | 0,2292 | 6,4235 | 0,1557 | 28,0291 | 0,0357 | 4,4683 | 28,7024 | 125,2426 |
14 | 4,8871 | 0,2046 | 6,6282 | 0,1509 | 32,3926 | 0,0309 | 4,7317 | 31,3624 | 153,2717 |
15 | 5,4736 | 0,1827 | 6,8109 | 0,1468 | 37,2797 | 0,0268 | 4,9803 | 33,9202 | 185,6643 |
16 | 6,1304 | 0,1631 | 6,9740 | 0,1434 | 42,7533 | 0,0234 | 5,2147 | 36,3670 | 222,9440 |
17 | 6,8660 | 0,1456 | 7,1196 | 0,1405 | 48,8837 | 0,0205 | 5,4353 | 38,6973 | 265,6973 |
18 | 7,6900 | 0,1300 | 7,2497 | 0,1379 | 55,7497 | 0,0179 | 5,6427 | 40,9080 | 314,5810 |
19 | 8,6128 | 0,1161 | 7,3658 | 0,1358 | 63,4397 | 0,0158 | 5,8375 | 42,9979 | 370,3307 |
20 | 9,6463 | 0,1037 | 7,4694 | 0,1339 | 72,0524 | 0,0139 | 6,0202 | 44,9676 | 433,7704 |
21 | 10,8038 | 0,0926 | 7,5620 | 0,1322 | 81,6987 | 0,0122 | 6,1913 | 46,8188 | 505,8228 |
22 | 12,1003 | 0,0826 | 7,6446 | 0,1308 | 92,5026 | 0,0108 | 6,3514 | 48,5543 | 587,5215 |
23 | 13,5523 | 0,0738 | 7,7184 | 0,1296 | 104,602 | 0,0096 | 6,5010 | 50,1776 | 680,0241 |
24 | 15,1786 | 0,0659 | 7,7843 | 0,1285 | 118,155 | 0,0085 | 6,6406 | 51,6929 | 784,6270 |
25 | 17,0001 | 0,0588 | 7,8431 | 0,1275 | 133,333 | 0,0075 | 6,7708 | 53,1046 | 902,7823 |
15% | Egyszeri | Egyenletes | Lineárisan növekvő | ||||||
N | F/P | P/F | P/A | A/P | F/A | A/F | A/G | P/G | F/G |
1 | 1,1500 | 0,8696 | 0,8696 | 1,1500 | 1,0000 | 1,0000 | 0,0000 | 0,0000 | 0,0000 |
2 | 1,3225 | 0,7561 | 1,6257 | 0,6151 | 2,1500 | 0,4651 | 0,4651 | 0,7561 | 1,0000 |
3 | 1,5209 | 0,6575 | 2,2832 | 0,4380 | 3,4725 | 0,2880 | 0,9071 | 2,0712 | 3,1500 |
4 | 1,7490 | 0,5718 | 2,8550 | 0,3503 | 4,9934 | 0,2003 | 1,3263 | 3,7864 | 6,6225 |
5 | 2,0114 | 0,4972 | 3,3522 | 0,2983 | 6,7424 | 0,1483 | 1,7228 | 5,7751 | 11,6159 |
6 | 2,3131 | 0,4323 | 3,7845 | 0,2642 | 8,7537 | 0,1142 | 2,0972 | 7,9368 | 18,3583 |
7 | 2,6600 | 0,3759 | 4,1604 | 0,2404 | 11,0668 | 0,0904 | 2,4498 | 10,1924 | 27,1120 |
8 | 3,0590 | 0,3269 | 4,4873 | 0,2229 | 13,7268 | 0,0729 | 2,7813 | 12,4807 | 38,1788 |
9 | 3,5179 | 0,2843 | 4,7716 | 0,2096 | 16,7858 | 0,0596 | 3,0922 | 14,7548 | 51,9056 |
10 | 4,0456 | 0,2472 | 5,0188 | 0,1993 | 20,3037 | 0,0493 | 3,3832 | 16,9795 | 68,6915 |
11 | 4,6524 | 0,2149 | 5,2337 | 0,1911 | 24,3493 | 0,0411 | 3,6549 | 19,1289 | 88,9952 |
12 | 5,3503 | 0,1869 | 5,4206 | 0,1845 | 29,0017 | 0,0345 | 3,9082 | 21,1849 | 113,3444 |
13 | 6,1528 | 0,1625 | 5,5831 | 0,1791 | 34,3519 | 0,0291 | 4,1438 | 23,1352 | 142,3461 |
14 | 7,0757 | 0,1413 | 5,7245 | 0,1747 | 40,5047 | 0,0247 | 4,3624 | 24,9725 | 176,6980 |
15 | 8,1371 | 0,1229 | 5,8474 | 0,1710 | 47,5804 | 0,0210 | 4,5650 | 26,6930 | 217,2027 |
16 | 9,3576 | 0,1069 | 5,9542 | 0,1679 | 55,7175 | 0,0179 | 4,7522 | 28,2960 | 264,7831 |
17 | 10,7613 | 0,0929 | 6,0472 | 0,1654 | 65,0751 | 0,0154 | 4,9251 | 29,7828 | 320,5006 |
18 | 12,3755 | 0,0808 | 6,1280 | 0,1632 | 75,8364 | 0,0132 | 5,0843 | 31,1565 | 385,5757 |
19 | 14,2318 | 0,0703 | 6,1982 | 0,1613 | 88,2118 | 0,0113 | 5,2307 | 32,4213 | 461,4121 |
20 | 16,3665 | 0,0611 | 6,2593 | 0,1598 | 102,443 | 0,0098 | 5,3651 | 33,5822 | 549,6239 |
21 | 18,8215 | 0,0531 | 6,3125 | 0,1584 | 118,810 | 0,0084 | 5,4883 | 34,6448 | 652,0675 |
22 | 21,6447 | 0,0462 | 6,3587 | 0,1573 | 137,631 | 0,0073 | 5,6010 | 35,6150 | 770,8776 |
23 | 24,8915 | 0,0402 | 6,3988 | 0,1563 | 159,276 | 0,0063 | 5,7040 | 36,4988 | 908,5092 |
24 | 28,6252 | 0,0349 | 6,4338 | 0,1554 | 184,167 | 0,0054 | 5,7979 | 37,3023 | 1067,7856 |
25 | 32,9190 | 0,0304 | 6,4641 | 0,1547 | 212,793 | 0,0047 | 5,8834 | 38,0314 | 1251,9534 |
20% | Egyszeri | Egyenletes | Lineárisan növekvő | ||||||
N | F/P | P/F | P/A | A/P | F/A | A/F | A/G | P/G | F/G |
1 | 1,2000 | 0,8333 | 0,8333 | 1,2000 | 1,0000 | 1,0000 | 0,0000 | 0,0000 | 0,0000 |
2 | 1,4400 | 0,6944 | 1,5278 | 0,6545 | 2,2000 | 0,4545 | 0,4545 | 0,6944 | 1,0000 |
3 | 1,7280 | 0,5787 | 2,1065 | 0,4747 | 3,6400 | 0,2747 | 0,8791 | 1,8519 | 3,2000 |
4 | 2,0736 | 0,4823 | 2,5887 | 0,3863 | 5,3680 | 0,1863 | 1,2742 | 3,2986 | 6,8400 |
5 | 2,4883 | 0,4019 | 2,9906 | 0,3344 | 7,4416 | 0,1344 | 1,6405 | 4,9061 | 12,2080 |
6 | 2,9860 | 0,3349 | 3,3255 | 0,3007 | 9,9299 | 0,1007 | 1,9788 | 6,5806 | 19,6496 |
7 | 3,5832 | 0,2791 | 3,6046 | 0,2774 | 12,9159 | 0,0774 | 2,2902 | 8,2551 | 29,5795 |
8 | 4,2998 | 0,2326 | 3,8372 | 0,2606 | 16,4991 | 0,0606 | 2,5756 | 9,8831 | 42,4954 |
9 | 5,1598 | 0,1938 | 4,0310 | 0,2481 | 20,7989 | 0,0481 | 2,8364 | 11,4335 | 58,9945 |
10 | 6,1917 | 0,1615 | 4,1925 | 0,2385 | 25,9587 | 0,0385 | 3,0739 | 12,8871 | 79,7934 |
11 | 7,4301 | 0,1346 | 4,3271 | 0,2311 | 32,1504 | 0,0311 | 3,2893 | 14,2330 | 105,7521 |
12 | 8,9161 | 0,1122 | 4,4392 | 0,2253 | 39,5805 | 0,0253 | 3,4841 | 15,4667 | 137,9025 |
13 | 10,6993 | 0,0935 | 4,5327 | 0,2206 | 48,4966 | 0,0206 | 3,6597 | 16,5883 | 177,4830 |
14 | 12,8392 | 0,0779 | 4,6106 | 0,2169 | 59,1959 | 0,0169 | 3,8175 | 17,6008 | 225,9796 |
15 | 15,4070 | 0,0649 | 4,6755 | 0,2139 | 72,0351 | 0,0139 | 3,9588 | 18,5095 | 285,1755 |
16 | 18,4884 | 0,0541 | 4,7296 | 0,2114 | 87,4421 | 0,0114 | 4,0851 | 19,3208 | 357,2106 |
17 | 22,1861 | 0,0451 | 4,7746 | 0,2094 | 105,930 | 0,0094 | 4,1976 | 20,0419 | 444,6528 |
18 | 26,6233 | 0,0376 | 4,8122 | 0,2078 | 128,116 | 0,0078 | 4,2975 | 20,6805 | 550,5833 |
19 | 31,9480 | 0,0313 | 4,8435 | 0,2065 | 154,740 | 0,0065 | 4,3861 | 21,2439 | 678,7000 |
20 | 38,3376 | 0,0261 | 4,8696 | 0,2054 | 186,688 | 0,0054 | 4,4643 | 21,7395 | 833,4400 |
21 | 46,0051 | 0,0217 | 4,8913 | 0,2044 | 225,025 | 0,0044 | 4,5334 | 22,1742 | 1020,1280 |
22 | 55,2061 | 0,0181 | 4,9094 | 0,2037 | 271,030 | 0,0037 | 4,5941 | 22,5546 | 1245,1536 |
23 | 66,2474 | 0,0151 | 4,9245 | 0,2031 | 326,236 | 0,0031 | 4,6475 | 22,8867 | 1516,1843 |
24 | 79,4968 | 0,0126 | 4,9371 | 0,2025 | 392,484 | 0,0025 | 4,6943 | 23,1760 | 1842,4212 |
25 | 95,3962 | 0,0105 | 4,9476 | 0,2021 | 471,981 | 0,0021 | 4,7352 | 23,4276 | 2234,9054 |
25% | Egyszeri | Egyenletes | Lineárisan növekvő | ||||||
N | F/P | P/F | P/A | A/P | F/A | A/F | A/G | P/G | F/G |
1 | 1,2500 | 0,8000 | 0,8000 | 1,2500 | 1,0000 | 1,0000 | 0,0000 | 0,0000 | 0,0000 |
2 | 1,5625 | 0,6400 | 1,4400 | 0,6944 | 2,2500 | 0,4444 | 0,4444 | 0,6400 | 1,0000 |
3 | 1,9531 | 0,5120 | 1,9520 | 0,5123 | 3,8125 | 0,2623 | 0,8525 | 1,6640 | 3,2500 |
4 | 2,4414 | 0,4096 | 2,3616 | 0,4234 | 5,7656 | 0,1734 | 1,2249 | 2,8928 | 7,0625 |
5 | 3,0518 | 0,3277 | 2,6893 | 0,3718 | 8,2070 | 0,1218 | 1,5631 | 4,2035 | 12,8281 |
6 | 3,8147 | 0,2621 | 2,9514 | 0,3388 | 11,2588 | 0,0888 | 1,8683 | 5,5142 | 21,0352 |
7 | 4,7684 | 0,2097 | 3,1611 | 0,3163 | 15,0735 | 0,0663 | 2,1424 | 6,7725 | 32,2939 |
8 | 5,9605 | 0,1678 | 3,3289 | 0,3004 | 19,8419 | 0,0504 | 2,3872 | 7,9469 | 47,3674 |
9 | 7,4506 | 0,1342 | 3,4631 | 0,2888 | 25,8023 | 0,0388 | 2,6048 | 9,0207 | 67,2093 |
10 | 9,3132 | 0,1074 | 3,5705 | 0,2801 | 33,2529 | 0,0301 | 2,7971 | 9,9870 | 93,0116 |
11 | 11,6415 | 0,0859 | 3,6564 | 0,2735 | 42,5661 | 0,0235 | 2,9663 | 10,8460 | 126,2645 |
12 | 14,5519 | 0,0687 | 3,7251 | 0,2684 | 54,2077 | 0,0184 | 3,1145 | 11,6020 | 168,8306 |
13 | 18,1899 | 0,0550 | 3,7801 | 0,2645 | 68,7596 | 0,0145 | 3,2437 | 12,2617 | 223,0383 |
14 | 22,7374 | 0,0440 | 3,8241 | 0,2615 | 86,9495 | 0,0115 | 3,3559 | 12,8334 | 291,7979 |
15 | 28,4217 | 0,0352 | 3,8593 | 0,2591 | 109,686 | 0,0091 | 3,4530 | 13,3260 | 378,7474 |
16 | 35,5271 | 0,0281 | 3,8874 | 0,2572 | 138,108 | 0,0072 | 3,5366 | 13,7482 | 488,4342 |
17 | 44,4089 | 0,0225 | 3,9099 | 0,2558 | 173,635 | 0,0058 | 3,6084 | 14,1085 | 626,5427 |
18 | 55,5112 | 0,0180 | 3,9279 | 0,2546 | 218,044 | 0,0046 | 3,6698 | 14,4147 | 800,1784 |
19 | 69,3889 | 0,0144 | 3,9424 | 0,2537 | 273,555 | 0,0037 | 3,7222 | 14,6741 | 1018,2230 |
20 | 86,7362 | 0,0115 | 3,9539 | 0,2529 | 342,944 | 0,0029 | 3,7667 | 14,8932 | 1291,7788 |
21 | 108,4202 | 0,0092 | 3,9631 | 0,2523 | 429,680 | 0,0023 | 3,8045 | 15,0777 | 1634,7235 |
22 | 135,5253 | 0,0074 | 3,9705 | 0,2519 | 538,101 | 0,0019 | 3,8365 | 15,2326 | 2064,4043 |
23 | 169,4066 | 0,0059 | 3,9764 | 0,2515 | 673,626 | 0,0015 | 3,8634 | 15,3625 | 2602,5054 |
24 | 211,7582 | 0,0047 | 3,9811 | 0,2512 | 843,032 | 0,0012 | 3,8861 | 15,4711 | 3276,1318 |
25 | 264,6978 | 0,0038 | 3,9849 | 0,2509 | 1054,79 | 0,0009 | 3,9052 | 15,5618 | 4119,1647 |
Tartalomjegyzék
- Vállalati pénzügyek
- Impresszum
- 1. Üzleti gazdaságtani alapok
- 2. Vállalati pénzügyi alapelemzések
- 3. Adók és a pénzáramlások
- 3.1. A hozzáadottérték-adó (áfa)kezelése
- 3.2. Költségekként könyvelt vállalati adók kezelése
- 3.3. Vállalati jövedelem (nyereség) utáni adók kezelése
- 3.4. Személyi adók kezelése
- 4. A finanszírozás hatásai
- 4.1. Üzleti tevékenység értéke tökéletes piacon
- 4.2. Üzleti tevékenység értéke tökéletlen piacon
- 4.3. Kockázatok, várható hozam és árfolyam a tőkeáttétel függvényében tökéletes tőkepiacon
- 4.4. Kockázatok, várható hozam és árfolyam a tőkeáttétel függvényében tökéletlen tőkepiacon
- 4.5. Miller–Modigliani-tételek
- 4.6. Beruházási döntések egyszerűsített modellje
- 4.7. Beruházási döntések általános modelljei
- 4.1. Üzleti tevékenység értéke tökéletes piacon
- 5. Vállalati pénzügyek speciális kérdései
- 5.1. Változásalapú pénzáramlás-becslések következményei
- 5.2. Várható pénzáramlások becslése
- 5.3. Az infláció következményei
- 5.4. Devizaárfolyamok becslése a gazdasági elemzésekben
- 5.5. Értékelés és az időtengely
- 5.6. Osztalékfizetési döntések
- 5.7. A profit keletkezésének helye
- 5.8. Részvényesi érdek tökéletes képviselete
- 5.1. Változásalapú pénzáramlás-becslések következményei
- 6. A tőkeköltség meghatározásának gyakorlati kérdései
- 7. Beruházások egyedi kockázatai
- 8. Cash-menedzsment
- Mellékletek
- Irodalmi hivatkozások, utalások
Kiadó: Akadémiai Kiadó
Online megjelenés éve: 2021
ISBN: 978 963 454 681 8
Ez a könyv azok számára ajánlott, akik már túl vannak a BSc – és akár a nem kifejezetten gazdasági fókuszú MSc – tanulmányaikon, vagy hosszabb szakmai életúttal a hátuk mögött most kezdik érzékelni a naprakész üzleti, gazdasági szakismeretek hiányát. A kötet egyrészt gyakorlatiasan mutatja be a beruházási projektek mesterszinten tárgyalt értékelési mechanizmusát, ahol kifejezetten az alkalmazás részleteinek a megismerése a cél, másrészt a következő kérdésekre keresi a választ: Melyek a lényeges gazdasági kérdések egy üzleti ötlet tervezési szakaszában? Melyek azok a mozzanatok, amelyek meghatározzák egy beruházási projekt értékét? Melyek a szakma elfogadott adatforrásai? Hogyan kell szakszerűen elkészíteni az előrejelzéseket? Hogyan érdemes finanszírozni a tervezett projektet? Mikor érdemes pénzt kivonni a projektekből? Milyen kockázatok és hogyan hatnak a tervezett projektre?
Hivatkozás: https://mersz.hu/toth-vallalati-penzugyek//
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