年金现值、终值、复利现值、终值系数表.doc

1、附表一 复利终值系数表期 数 1% 2% 3% 4% 5% 6% 7% 8% 9% 10%1 1.0100 1.0200 1.0300 1.0400 1.0500 1.0600 1.0700 1.0800 1.0900 1.10002 1.0201 1.0404 1.0609 1.0816 1.1025 1.1236 1.1449 1.1664 1.1881 1.21003 1.0303 1.0612 1.0927 1.1249 1.1576 1.1910 1.2250 1.2597 1.2950 1.33104 1.0406 1.0824 1.1255 1.1699 1.2155 1.262

2、5 1.3108 1.3605 1.4116 1.46415 1.0510 1.1041 1.1593 1.2167 1.2763 1.3382 1.4026 1.4693 1.5386 1.61056 1.0615 1.1262 1.1941 1.2653 1.3401 1.4185 1.5007 1.5869 1.6771 1.77167 1.0721 1.1487 1.2299 1.3159 1.4071 1.5036 1.6058 1.7138 1.8280 1.94878 1.0829 1.1717 1.2668 1.3686 1.4775 1.5938 1.7182 1.8509

3、1.9926 2.14369 1.0937 1.1951 1.3048 1.4233 1.5513 1.6895 1.8385 1.9990 2.1719 2.357910 1.1046 1.2190 1.3439 1.4802 1.6289 1.7908 1.9672 2.1589 2.3674 2.593711 1.1157 1.2434 1.3842 1.5395 1.7103 1.8983 2.1049 2.3316 2.5804 2.853112 1.1268 1.2682 1.4258 1.6010 1.7959 2.0122 2.2522 2.5182 2.8127 3.1384

4、13 1.1381 1.2936 1.4685 1.6651 1.8856 2.1329 2.4098 2.7196 3.0658 3.452314 1.1495 1.3195 1.5126 1.7317 1.9799 2.2609 2.5785 2.9372 3.3417 3.797515 1.1610 1.3459 1.5580 1.8009 2.0789 2.3966 2.7590 3.1722 3.6425 4.177216 1.1726 1.3728 1.6047 1.8730 2.1829 2.5404 2.9522 3.4259 3.9703 4.595017 1.1843 1.

5、4002 1.6528 1.9479 2.2920 2.6928 3.1588 3.7000 4.3276 5.054518 1.1961 1.4282 1.7024 2.0258 2.4066 2.8543 3.3799 3.9960 4.7171 5.559919 1.2081 1.4568 1.7535 2.1068 2.5270 3.0256 3.6165 4.3157 5.1417 6.115920 1.2202 1.4859 1.8061 2.1911 2.6533 3.2071 3.8697 4.6610 5.6044 6.727521 1.2324 1.5157 1.8603

6、2.2788 2.7860 3.3996 4.1406 5.0338 6.1088 7.400222 1.2447 1.5460 1.9161 2.3699 2.9253 3.6035 4.4304 5.4365 6.6586 8.140323 1.2572 1.5769 1.9736 2.4647 3.0715 3.8197 4.7405 5.8715 7.2579 8.954324 1.2697 1.6084 2.0328 2.5633 3.2251 4.0489 5.0724 6.3412 7.9111 9.849725 1.2824 1.6406 2.0938 2.6658 3.386

7、4 4.2919 5.4274 6.8485 8.6231 10.83526 1.2953 1.6734 2.1566 2.7725 3.5557 4.5494 5.8074 7.3964 9.3992 11.91827 1.3082 1.7069 2.2213 2.8834 3.7335 4.8223 6.2139 7.9881 10.245 13.11028 1.3213 1.7410 2.2879 2.9987 3.9201 5.1117 6.6488 8.6271 11.167 14.42129 1.3345 1.7758 2.3566 3.1187 4.1161 5.4184 7.1

8、143 9.3173 12.172 15.86330 1.3478 1.8114 2.4273 3.2434 4.3219 5.7435 7.6123 10.063 13.268 17.44940 1.4889 2.2080 3.2620 4.8010 7.0400 10.286 14.975 21.725 31.409 45.25950 1.6446 2.6916 4.3839 7.1067 11.467 18.420 29.457 46.902 74.358 117.3960 1.8167 3.2810 5.8916 10.520 18.679 32.988 57.946 101.26 1

9、76.03 304.48计算公式：复利终值系数= ，S=PniniP现值或初始值；i报酬率或利率；n计息期数；S终值或本利和附表一 复利终值系数表 续表期 数 12% 14% 15% 16% 18% 20% 24% 28% 32% 36%1 1.1200 1.1400 1.1500 1.1600 1.1800 1.2000 1.2400 1.2800 1.3200 1.36002 1.2544 1.2996 1.3225 1.3456 1.3924 1.4400 1.5376 1.6384 1.7424 1.84963 1.4049 1.4815 1.5209 1.5609 1.6430 1.

10、7280 1.9066 2.0972 2.3000 2.51554 1.5735 1.6890 1.7490 1.8106 1.9388 2.0736 2.3642 2.6844 3.0360 3.42105 1.7623 1.9254 2.0114 2.1003 2.2878 2.4883 2.9316 3.4360 4.0075 4.65266 1.9738 2.1950 2.3131 2.4364 2.6996 2.9860 3.6352 4.3980 5.2899 6.32757 2.2107 2.5023 2.6600 2.8262 3.1855 3.5832 4.5077 5.62

11、95 6.9826 8.60548 2.4760 2.8526 3.0590 3.2784 3.7589 4.2998 5.5895 7.2058 9.2170 11.7039 2.7731 3.2519 3.5179 3.8030 4.4355 5.1598 6.9310 9.2234 12.167 15.91710 3.1058 3.7072 4.0456 4.4114 5.2338 6.1917 8.5944 11.806 16.060 21.64711 3.4785 4.2262 4.6524 5.1173 6.1759 7.4301 10.657 15.112 21.199 29.4

12、3912 3.8960 4.8179 5.3503 5.9360 7.2876 8.9161 13.215 19.343 27.983 40.03813 4.3635 5.4924 6.1528 6.8858 8.5994 10.699 16.386 24.759 36.937 54.45114 4.8871 6.2613 7.0757 7.9875 10.147 12.839 20.319 31.691 48.757 74.05315 5.4736 7.1379 8.1371 9.2655 11.974 15.407 25.196 40.565 64.359 100.7116 6.1304

13、8.1372 9.3576 10.748 14.129 18.488 31.243 51.923 84.954 136.9717 6.8660 9.2765 10.761 12.468 16.672 22.186 38.741 66.461 112.14 186.2818 7.6900 10.575 12.376 14.463 19.673 26.623 48.039 85.071 148.02 253.3419 8.6128 12.056 14.232 16.777 23.214 31.948 59.568 108.89 195.39 344.5420 9.6463 13.744 16.36

14、7 19.461 27.393 38.338 73.864 139.38 257.92 468.5721 10.804 15.668 18.822 22.575 32.324 46.005 91.592 178.41 340.45 637.2622 12.100 17.861 21.645 26.186 38.142 55.206 113.57 228.36 449.39 866.6723 13.552 20.362 24.892 30.376 45.008 66.247 140.83 292.30 593.20 1178.724 15.179 23.212 28.625 35.236 53.

15、109 79.497 174.63 374.14 783.02 1603.025 17.000 26.462 32.919 40.874 62.669 95.396 216.54 478.90 1033.6 2180.126 19.040 30.167 37.857 47.414 73.949 114.48 268.51 613.00 1364.3 2964.927 21.325 34.390 43.535 55.000 87.260 137.37 332.96 784.64 1800.9 4032.328 23.884 39.205 50.066 63.800 102.97 164.84 4

16、12.86 1004.3 2377.2 5483.929 26.750 44.693 57.576 74.009 121.50 197.81 511.95 1285.6 3137.9 7458.130 29.960 50.950 66.212 85.850 143.37 237.38 634.82 1645.5 4142.1 1014340 93.051 188.88 267.86 378.72 750.38 1469.8 5455.9 19427 66521 *50 289.00 700.23 1083.7 1670.7 3927.4 9100.4 46890 * * *60 897.60

17、2595.9 4384.0 7370.2 20555 56348 * * * *注：*99 999计算公式：复利终值系数= ，S=Pni1niP现值或初始值i报酬率或利率n计息期数S终值或本利和附表二 复利现值系数表期 数 1% 2% 3% 4% 5% 6% 7% 8% 9% 10%1 0.9901 0.9804 0.9709 0.9615 0.9524 0.9434 0.9346 0.9259 0.9174 0.90912 0.9803 0.9612 0.9426 0.9246 0.9070 0.8900 0.8734 0.8573 0.8417 0.82643 0.9706 0.9423

18、0.9151 0.8890 0.8638 0.8396 0.8163 0.7938 0.7722 0.75134 0.9610 0.9238 0.8885 0.8548 0.8227 0.7921 0.7629 0.7350 0.7084 0.68305 0.9515 0.9057 0.8626 0.8219 0.7835 0.7473 0.7130 0.6806 0.6499 0.62096 0.9420 0.8880 0.8375 0.7903 0.7462 0.7050 0.6663 0.6302 0.5963 0.56457 0.9327 0.8706 0.8131 0.7599 0.

19、7107 0.6651 0.6227 0.5835 0.5470 0.51328 0.9235 0.8535 0.7894 0.7307 0.6768 0.6274 0.5820 0.5403 0.5019 0.46659 0.9143 0.8368 0.7664 0.7026 0.6446 0.5919 0.5439 0.5002 0.4604 0.424110 0.9053 0.8203 0.7441 0.6756 0.6139 0.5584 0.5083 0.4632 0.4224 0.385511 0.8963 0.8043 0.7224 0.6496 0.5847 0.5268 0.

20、4751 0.4289 0.3875 0.350512 0.8874 0.7885 0.7014 0.6246 0.5568 0.4970 0.4440 0.3971 0.3555 0.318613 0.8787 0.7730 0.6810 0.6006 0.5303 0.4688 0.4150 0.3677 0.3262 0.289714 0.8700 0.7579 0.6611 0.5775 0.5051 0.4423 0.3878 0.3405 0.2992 0.263315 0.8613 0.7430 0.6419 0.5553 0.4810 0.4173 0.3624 0.3152

21、0.2745 0.239416 0.8528 0.7284 0.6232 0.5339 0.4581 0.3936 0.3387 0.2919 0.2519 0.217617 0.8444 0.7142 0.6050 0.5134 0.4363 0.3714 0.3166 0.2703 0.2311 0.197818 0.8360 0.7002 0.5874 0.4936 0.4155 0.3503 0.2959 0.2502 0.2120 0.179919 0.8277 0.6864 0.5703 0.4746 0.3957 0.3305 0.2765 0.2317 0.1945 0.163

22、520 0.8195 0.6730 0.5537 0.4564 0.3769 0.3118 0.2584 0.2145 0.1784 0.148621 0.8114 0.6598 0.5375 0.4388 0.3589 0.2942 0.2415 0.1987 0.1637 0.135122 0.8034 0.6468 0.5219 0.4220 0.3418 0.2775 0.2257 0.1839 0.1502 0.122823 0.7954 0.6342 0.5067 0.4057 0.3256 0.2618 0.2109 0.1703 0.1378 0.111724 0.7876 0

23、.6217 0.4919 0.3901 0.3101 0.2470 0.1971 0.1577 0.1264 0.101525 0.7798 0.6095 0.4776 0.3751 0.2953 0.2330 0.1842 0.1460 0.1160 0.092326 0.7720 0.5976 0.4637 0.3607 0.2812 0.2198 0.1722 0.1352 0.1064 0.083927 0.7644 0.5859 0.4502 0.3468 0.2678 0.2074 0.1609 0.1252 0.0976 0.076328 0.7568 0.5744 0.4371

24、 0.3335 0.2551 0.1956 0.1504 0.1159 0.0895 0.069329 0.7493 0.5631 0.4243 0.3207 0.2429 0.1846 0.1406 0.1073 0.0822 0.063030 0.7419 0.5521 0.4120 0.3083 0.2314 0.1741 0.1314 0.0994 0.0754 0.057335 0.7059 0.5000 0.3554 0.2534 0.1813 0.1301 0.0937 0.0676 0.0490 0.035640 0.6717 0.4529 0.3066 0.2083 0.14

25、20 0.0972 0.0668 0.0460 0.0318 0.022145 0.6391 0.4102 0.2644 0.1712 0.1113 0.0727 0.0476 0.0313 0.0207 0.013750 0.6080 0.3715 0.2281 0.1407 0.0872 0.0543 0.0339 0.0213 0.0134 0.008555 0.5785 0.3365 0.1968 0.1157 0.0683 0.0406 0.0242 0.0145 0.0087 0.0053注：计算公式：复利现值系数= ，P= =S-nini1S-niP现值或初始值；i报酬率或利率；

26、n计息期数；S终值或本利和附表二 复利现值系数表 续表期 数 12% 14% 15% 16% 18% 20% 24% 28% 32% 36%1 0.8929 0.8772 0.8696 0.8621 0.8475 0.8333 0.8065 0.7813 0.7576 0.73532 0.7972 0.7695 0.7561 0.7432 0.7182 0.6944 0.6504 0.6104 0.5739 0.54073 0.7118 0.6750 0.6575 0.6407 0.6086 0.5787 0.5245 0.4768 0.4348 0.39754 0.6355 0.5921 0

27、.5718 0.5523 0.5158 0.4823 0.4230 0.3725 0.3294 0.29235 0.5674 0.5194 0.4972 0.4761 0.4371 0.4019 0.3411 0.2910 0.2495 0.21496 0.5066 0.4556 0.4323 0.4104 0.3704 0.3349 0.2751 0.2274 0.1890 0.15807 0.4523 0.3996 0.3759 0.3538 0.3139 0.2791 0.2218 0.1776 0.1432 0.11628 0.4039 0.3506 0.3269 0.3050 0.2

28、660 0.2326 0.1789 0.1388 0.1085 0.08549 0.3606 0.3075 0.2843 0.2630 0.2255 0.1938 0.1443 0.1084 0.0822 0.062810 0.3220 0.2697 0.2472 0.2267 0.1911 0.1615 0.1164 0.0847 0.0623 0.046211 0.2875 0.2366 0.2149 0.1954 0.1619 0.1346 0.0938 0.0662 0.0472 0.034012 0.2567 0.2076 0.1869 0.1685 0.1372 0.1122 0.

29、0757 0.0517 0.0357 0.025013 0.2292 0.1821 0.1625 0.1452 0.1163 0.0935 0.0610 0.0404 0.0271 0.018414 0.2046 0.1597 0.1413 0.1252 0.0985 0.0779 0.0492 0.0316 0.0205 0.013515 0.1827 0.1401 0.1229 0.1079 0.0835 0.0649 0.0397 0.0247 0.0155 0.009916 0.1631 0.1229 0.1069 0.0930 0.0708 0.0541 0.0320 0.0193

30、0.0118 0.007317 0.1456 0.1078 0.0929 0.0802 0.0600 0.0451 0.0258 0.0150 0.0089 0.005418 0.1300 0.0946 0.0808 0.0691 0.0508 0.0376 0.0208 0.0118 0.0068 0.003919 0.1161 0.0829 0.0703 0.0596 0.0431 0.0313 0.0168 0.0092 0.0051 0.002920 0.1037 0.0728 0.0611 0.0514 0.0365 0.0261 0.0135 0.0072 0.0039 0.002

31、121 0.0926 0.0638 0.0531 0.0443 0.0309 0.0217 0.0109 0.0056 0.0029 0.001622 0.0826 0.0560 0.0462 0.0382 0.0262 0.0181 0.0088 0.0044 0.0022 0.001223 0.0738 0.0491 0.0402 0.0329 0.0222 0.0151 0.0071 0.0034 0.0017 0.000824 0.0659 0.0431 0.0349 0.0284 0.0188 0.0126 0.0057 0.0027 0.0013 0.000625 0.0588 0

32、.0378 0.0304 0.0245 0.0160 0.0105 0.0046 0.0021 0.0010 0.000526 0.0525 0.0331 0.0264 0.0211 0.0135 0.0087 0.0037 0.0016 0.0007 0.000327 0.0469 0.0291 0.0230 0.0182 0.0115 0.0073 0.0030 0.0013 0.0006 0.000228 0.0419 0.0255 0.0200 0.0157 0.0097 0.0061 0.0024 0.0010 0.0004 0.000229 0.0374 0.0224 0.0174

33、 0.0135 0.0082 0.0051 0.0020 0.0008 0.0003 0.000130 0.0334 0.0196 0.0151 0.0116 0.0070 0.0042 0.0016 0.0006 0.0002 0.000135 0.0189 0.0102 0.0075 0.0055 0.0030 0.0017 0.0005 0.0002 0.0001 *40 0.0107 0.0053 0.0037 0.0026 0.0013 0.0007 0.0002 0.0001 * *45 0.0061 0.0027 0.0019 0.0013 0.0006 0.0003 0.000

34、1 * * *50 0.0035 0.0014 0.0009 0.0006 0.0003 0.0001 * * * *55 0.0020 0.0007 0.0005 0.0003 0.0001 * * * * *注：*999 999.99计算公式：年金终值系数= ，S=AininA每期等额支付（或收入）的金额；i报酬率或利率；n计息期数；S年金终值或本利和附表四 年金现值系数表期 数 1% 2% 3% 4% 5% 6% 7% 8% 9% 10%1 0.9901 0.9804 0.9709 0.9615 0.9524 0.9434 0.9346 0.9259 0.9174 0.90912 1.9

35、704 1.9416 1.9135 1.8861 1.8594 1.8334 1.8080 1.7833 1.7591 1.73553 2.9410 2.8839 2.8286 2.7751 2.7232 2.6730 2.6243 2.5771 2.5313 2.48694 3.9020 3.8077 3.7171 3.6299 3.5460 3.4651 3.3872 3.3121 3.2397 3.16995 4.8534 4.7135 4.5797 4.4518 4.3295 4.2124 4.1002 3.9927 3.8897 3.79086 5.7955 5.6014 5.417

36、2 5.2421 5.0757 4.9173 4.7665 4.6229 4.4859 4.35537 6.7282 6.4720 6.2303 6.0021 5.7864 5.5824 5.3893 5.2064 5.0330 4.86848 7.6517 7.3255 7.0197 6.7327 6.4632 6.2098 5.9713 5.7466 5.5348 5.33499 8.5660 8.1622 7.7861 7.4353 7.1078 6.8017 6.5152 6.2469 5.9952 5.759010 9.4713 8.9826 8.5302 8.1109 7.7217

37、 7.3601 7.0236 6.7101 6.4177 6.144611 10.3676 9.7868 9.2526 8.7605 8.3064 7.8869 7.4987 7.1390 6.8052 6.495112 11.2551 10.5753 9.9540 9.3851 8.8633 8.3838 7.9427 7.5361 7.1607 6.813713 12.1337 11.3484 10.6350 9.9856 9.3936 8.8527 8.3577 7.9038 7.4869 7.103414 13.0037 12.1062 11.2961 10.5631 9.8986 9

38、.2950 8.7455 8.2442 7.7862 7.366715 13.8651 12.8493 11.9379 11.1184 10.3797 9.7122 9.1079 8.5595 8.0607 7.606116 14.7179 13.5777 12.5611 11.6523 10.8378 10.1059 9.4466 8.8514 8.3126 7.823717 15.5623 14.2919 13.1661 12.1657 11.2741 10.4773 9.7632 9.1216 8.5436 8.021618 16.3983 14.9920 13.7535 12.6593

39、 11.6896 10.8276 10.0591 9.3719 8.7556 8.201419 17.2260 15.6785 14.3238 13.1339 12.0853 11.1581 10.3356 9.6036 8.9501 8.364920 18.0456 16.3514 14.8775 13.5903 12.4622 11.4699 10.5940 9.8181 9.1285 8.513621 18.8570 17.0112 15.4150 14.0292 12.8212 11.7641 10.8355 10.0168 9.2922 8.648722 19.6604 17.658

40、0 15.9369 14.4511 13.1630 12.0416 11.0612 10.2007 9.4424 8.771523 20.4558 18.2922 16.4436 14.8568 13.4886 12.3034 11.2722 10.3711 9.5802 8.883224 21.2434 18.9139 16.9355 15.2470 13.7986 12.5504 11.4693 10.5288 9.7066 8.984725 22.0232 19.5235 17.4131 15.6221 14.0939 12.7834 11.6536 10.6748 9.8226 9.0

41、77026 22.7952 20.1210 17.8768 15.9828 14.3752 13.0032 11.8258 10.8100 9.9290 9.160927 23.5596 20.7069 18.3270 16.3296 14.6430 13.2105 11.9867 10.9352 10.0266 9.237228 24.3164 21.2813 18.7641 16.6631 14.8981 13.4062 12.1371 11.0511 10.1161 9.306629 25.0658 21.8444 19.1885 16.9837 15.1411 13.5907 12.2

42、777 11.1584 10.1983 9.369630 25.8077 22.3965 19.6004 17.2920 15.3725 13.7648 12.4090 11.2578 10.2737 9.426935 29.4086 24.9986 21.4872 18.6646 16.3742 14.4982 12.9477 11.6546 10.5668 9.644240 32.8347 27.3555 23.1148 19.7928 17.1591 15.0463 13.3317 11.9246 10.7574 9.779145 36.0945 29.4902 24.5187 20.7

43、200 17.7741 15.4558 13.6055 12.1084 10.8812 9.862850 39.1961 31.4236 25.7298 21.4822 18.2559 15.7619 13.8007 12.2335 10.9617 9.914855 42.1472 33.1748 26.7744 22.1086 18.6335 15.9905 13.9399 12.3186 11.0140 9.9471计算公式：年金现值系数= ，P=Ain -in -A每期等额支付（或收入）的金额；i报酬率或利率；n计息期数；P年金现值或本利和 附表四 年金现值系数表 续表期 数 12% 1

44、4% 15% 16% 18% 20% 24% 28% 32% 36%1 0.8929 0.8772 0.8696 0.8621 0.8475 0.8333 0.8065 0.7813 0.7576 0.73532 1.6901 1.6467 1.6257 1.6052 1.5656 1.5278 1.4568 1.3916 1.3315 1.27603 2.4018 2.3216 2.2832 2.2459 2.1743 2.1065 1.9813 1.8684 1.7663 1.67354 3.0373 2.9137 2.8550 2.7982 2.6901 2.5887 2.4043 2.

45、2410 2.0957 1.96585 3.6048 3.4331 3.3522 3.2743 3.1272 2.9906 2.7454 2.5320 2.3452 2.18076 4.1114 3.8887 3.7845 3.6847 3.4976 3.3255 3.0205 2.7594 2.5342 2.33887 4.5638 4.2883 4.1604 4.0386 3.8115 3.6046 3.2423 2.9370 2.6775 2.45508 4.9676 4.6389 4.4873 4.3436 4.0776 3.8372 3.4212 3.0758 2.7860 2.54

46、049 5.3282 4.9464 4.7716 4.6065 4.3030 4.0310 3.5655 3.1842 2.8681 2.603310 5.6502 5.2161 5.0188 4.8332 4.4941 4.1925 3.6819 3.2689 2.9304 2.649511 5.9377 5.4527 5.2337 5.0286 4.6560 4.3271 3.7757 3.3351 2.9776 2.683412 6.1944 5.6603 5.4206 5.1971 4.7932 4.4392 3.8514 3.3868 3.0133 2.708413 6.4235 5

47、.8424 5.5831 5.3423 4.9095 4.5327 3.9124 3.4272 3.0404 2.726814 6.6282 6.0021 5.7245 5.4675 5.0081 4.6106 3.9616 3.4587 3.0609 2.740315 6.8109 6.1422 5.8474 5.5755 5.0916 4.6755 4.0013 3.4834 3.0764 2.750216 6.9740 6.2651 5.9542 5.6685 5.1624 4.7296 4.0333 3.5026 3.0882 2.757517 7.1196 6.3729 6.0472

48、 5.7487 5.2223 4.7746 4.0591 3.5177 3.0971 2.762918 7.2497 6.4674 6.1280 5.8178 5.2732 4.8122 4.0799 3.5294 3.1039 2.766819 7.3658 6.5504 6.1982 5.8775 5.3162 4.8435 4.0967 3.5386 3.1090 2.769720 7.4694 6.6231 6.2593 5.9288 5.3527 4.8696 4.1103 3.5458 3.1129 2.771821 7.5620 6.6870 6.3125 5.9731 5.38

49、37 4.8913 4.1212 3.5514 3.1158 2.773422 7.6446 6.7429 6.3587 6.0113 5.4099 4.9094 4.1300 3.5558 3.1180 2.774623 7.7184 6.7921 6.3988 6.0442 5.4321 4.9245 4.1371 3.5592 3.1197 2.775424 7.7843 6.8351 6.4338 6.0726 5.4509 4.9371 4.1428 3.5619 3.1210 2.776025 7.8431 6.8729 6.4641 6.0971 5.4669 4.9476 4.1474 3.5640 3.1220 2.776526 7.8957 6.9061 6.4906 6.1182 5.4804 4.9563 4.