Bảng 1: Giá trị hiện tại của $1 trả vào cuối năm n 1/(1+r ) n
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.9990 .9980 .9970 .9960 .9950 .9940 .9930 .9921 .9911 .9901 .9891 .9881 .9872 .9862 .9852 9980 .9960 .9940 .9920 .9901 .9881 .9861 .9842 .9822 .9803 .9784 .9764 .9745 .9726 .9707 9970 .9940 .9911 .9881 .9851 .9822 .9793 .9764 .9735 .9706 .9677 .9648 .9620 .9591 .9563 9960 .9920 .9881 .9842 .9802 .9764 .9725 .9686 .9648 .9610 .9572 .9534 .9496 .9459 .9422
5 9950 .9901 .9851 .9802 .9754 .9705 .9657 .9609 .9562 .9515 .9468 .9421 .9375 .9328 .9283 6
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.9940 .9881 .9822 .9763 .9705 .9647 .9590 .9533 .9477 .9420 .9365 .9309 .9254 .9200 .9145 9930 .9861 .9792 .9724 .9657 .9590 .9523 .9457 .9392 .9327 .9263 .9199 .9136 .9073 .9010 9920 .9841 .9763 .9686 .9609 .9533 .9457 .9382 .9308 .9235 .9162 .9090 .9018 .8947 .8877 9910 .9822 .9734 .9647 .9561 .9476 .9391 .9308 .9225 .9143 .9062 .8982 .8903 .8824 .8746
10 .9901 .9802 .9705 .9609 .9513 .9419 .9326 .9234 .9143 .9053 .8964 .8876 .8788 .8702 .8617 11
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.9891 .9783 .9676 .9570 .9466 .9363 .9261 .9161 .9061 .8963 .8866 .8770 .8676 .8582 .8489 9881 .9763 .9647 .9532 .9419 .9307 .9197 .9088 .8981 .8874 .8770 .8666 .8564 .8463 .8364 9871 .9744 .9618 .9494 .9372 .9252 .9133 .9016 .8901 .8787 .8674 .8564 .8454 .8347 .8240 9861 .9724 .9589 .9456 .9326 .9197 .9070 .8944 .8821 .8700 .8580 .8462 .8346 .8231 .8118
15 .9851 .9705 .9561 .9419 .9279 .9142 .9007 .8873 .8742 .8613 .8487 .8362 .8239 .8118 .7999 16
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.9841 .9685 .9532 .9381 .9233 .9087 .8944 .8803 .8664 .8528 .8394 .8263 .8133 .8006 .7880 9832 .9666 .9504 .9344 .9187 .9033 .8882 .8733 .8587 .8444 .8303 .8165 .8029 .7895 .7764 9822 .9647 .9475 .9307 .9141 .8979 .8820 .8664 .8511 .8360 .8213 .8068 .7926 .7786 .7649 9812 .9627 .9447 .9270 .9096 .8926 .8759 .8595 .8435 .8277 .8123 .7972 .7824 .7679 .7536
20 .9802 .9608 .9418 .9233 .9051 .8872 .8698 .8527 .8359 .8195 .8035 .7878 .7723 .7573 .7425 21
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.9792 .9589 .9390 .9196 .9006 .8819 .8637 .8459 .8285 .8114 .7947 .7784 .7624 .7468 .7315 9783 .9570 .9362 .9159 .8961 .8767 .8577 .8392 .8211 .8034 .7861 .7692 .7526 .7365 .7207 9773 .9551 .9334 .9123 .8916 .8715 .8518 .8325 .8138 .7954 .7775 .7601 .7430 .7263 .7100 9763 .9532 .9306 .9086 .8872 .8663 .8458 .8259 .8065 .7876 .7691 .7510 .7335 .7163 .6995
25 .9753 .9513 .9278 .9050 .8828 .8611 .8400 .8194 .7993 .7798 .7607 .7421 .7240 .7064 .6892 26
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.9743 .9494 .9251 .9014 .8784 .8560 .8341 .8129 .7922 .7720 .7524 .7333 .7148 .6966 .6790 9734 .9475 .9223 .8978 .8740 .8509 .8283 .8064 .7851 .7644 .7442 .7246 .7056 .6870 .6690 9724 .9456 .9195 .8942 .8697 .8458 .8226 .8000 .7781 .7568 .7362 .7161 .6965 .6775 .6591 9714 .9437 .9168 .8907 .8653 .8407 .8169 .7937 .7712 .7493 .7281 .7076 .6876 .6682 .6494
30 .9705 .9418 .9141 .8871 .8610 .8357 .8112 .7874 .7643 .7419 .7202 .6992 .6788 .6590 .6398 31
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.9695 .9399 .9113 .8836 .8567 .8307 .8055 .7811 .7575 .7346 .7124 .6909 .6700 .6499 .6303 9685 .9381 .9086 .8801 .8525 .8258 .7999 .7749 .7507 .7273 .7046 .6827 .6615 .6409 .6210 9676 .9362 .9059 .8766 .8482 .8209 .7944 .7688 .7440 .7201 .6970 .6746 .6530 .6320 .6118 9666 .9343 .9032 .8731 .8440 .8160 .7889 .7627 .7374 .7130 .6894 .6666 .6446 .6233 .6028
35 .9656 .9325 .9005 .8696 .8398 .8111 .7834 .7566 .7308 .7059 .6819 .6587 .6363 .6147 .5939 36
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.9647 .9306 .8978 .8661 .8356 .8063 .7779 .7506 .7243 .6989 .6745 .6509 .6281 .6062 .5851 9637 .9287 .8951 .8627 .8315 .8014 .7725 .7447 .7178 .6920 .6671 .6432 .6201 .5979 .5764 9627 .9269 .8924 .8592 .8274 .7967 .7671 .7388 .7114 .6852 .6599 .6355 .6121 .5896 .5679 9618 .9250 .8897 .8558 .8232 .7919 .7618 .7329 .7051 .6784 .6527 .6280 .6043 .5815 .5595
40 .9608 .9232 .8871 .8524 .8191 .7872 .7565 .7271 .6988 .6717 .6456 .6206 .5965 .5734 .5513 41
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.9598 .9213 .8844 .8490 .8151 .7825 .7513 .7213 .6926 .6650 .6386 .6132 .5889 .5655 .5431 9589 .9195 .8818 .8456 .8110 .7778 .7460 .7156 .6864 .6584 .6316 .6059 .5813 .5577 .5351 9579 .9177 .8791 .8423 .8070 .7732 .7409 .7099 .6803 .6519 .6247 .5987 .5738 .5500 .5272 9570 .9158 .8765 .8389 .8030 .7686 .7357 .7043 .6742 .6454 .6179 .5916 .5665 .5424 .5194
45 .9560 .9140 .8739 .8356 .7990 .7640 .7306 .6987 .6682 .6391 .6112 .5846 .5592 .5349 .5117 46
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.9551 .9122 .8713 .8322 .7950 .7594 .7255 .6931 .6622 .6327 .6046 .5777 .5520 .5275 .5042 9541 .9104 .8687 .8289 .7910 .7549 .7205 .6876 .6563 .6265 .5980 .5708 .5449 .5203 .4967 9532 .9086 .8661 .8256 .7871 .7504 .7155 .6822 .6505 .6203 .5915 .5641 .5380 .5131 .4894 9522 .9067 .8635 .8223 .7832 .7459 .7105 .6768 .6447 .6141 .5851 .5574 .5311 .5060 .4821
50 .9513 .9049 .8609 .8191 .7793 .7415 .7055 .6714 .6389 .6080 .5787 .5508 .5242 .4990 .4750 51
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.9503 .9031 .8583 .8158 .7754 .7371 .7006 .6661 .6332 .6020 .5724 .5442 .5175 .4921 .4680 9494 .9013 .8558 .8125 .7716 .7327 .6958 .6608 .6276 .5961 .5662 .5378 .5109 .4853 .4611 9484 .8995 .8532 .8093 .7677 .7283 .6909 .6555 .6220 .5902 .5600 .5314 .5043 .4786 .4543 9475 .8977 .8506 .8061 .7639 .7240 .6861 .6503 .6164 .5843 .5539 .5251 .4978 .4720 .4475
55 .9465 .8959 .8481 .8029 .7601 .7196 .6814 .6452 .6109 .5785 .5479 .5189 .4915 .4655 .4409 56
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.9456 .8941 .8456 .7997 .7563 .7153 .6766 .6400 .6055 .5728 .5419 .5127 .4851 .4591 .4344 9446 .8924 .8430 .7965 .7525 .7111 .6719 .6350 .6001 .5671 .5360 .5067 .4789 .4527 .4280 9437 .8906 .8405 .7933 .7488 .7068 .6673 .6299 .5947 .5615 .5302 .5006 .4728 .4465 .4217 9427 .8888 .8380 .7902 .7451 .7026 .6626 .6249 .5894 .5560 .5244 .4947 .4667 .4403 .4154
60 .9418 .8870 .8355 .7870 .7414 .6984 .6580 .6200 .5842 .5504 .5187 .4888 .4607 .4342 .4093
Trang 1 / 14
Trang 2Bảng 1: Giá trị hiện tại của $1 trả vào cuối năm n 1/(1+r ) n
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.9843 .9833 .9823 .9814 .9804 .9756 .9709 .9662 .9615 .9569 .9524 .9479 .9434 .9390 .9346 9688 .9668 .9649 .9631 .9612 .9518 .9426 .9335 .9246 .9157 .9070 .8985 .8900 .8817 .8734 9535 .9507 .9479 .9451 .9423 .9286 .9151 .9019 .8890 .8763 .8638 .8516 .8396 .8278 .8163 9385 .9348 .9311 .9275 .9238 .9060 .8885 .8714 .8548 .8386 .8227 .8072 .7921 .7773 .7629 9237 .9192 .9147 .9102 .9057 .8839 .8626 .8420 .8219 .8025 .7835 .7651 .7473 .7299 .7130 9092 .9038 .8985 .8932 .8880 .8623 .8375 .8135 .7903 .7679 .7462 .7252 .7050 .6853 .6663 8948 .8887 .8826 .8766 .8706 .8413 .8131 .7860 .7599 .7348 .7107 .6874 .6651 .6435 .6227 8807 .8738 .8670 .8602 .8535 .8207 .7894 .7594 .7307 .7032 .6768 .6516 .6274 .6042 .5820 8669 .8592 .8517 .8442 .8368 .8007 .7664 .7337 .7026 .6729 .6446 .6176 .5919 .5674 .5439 8532 .8449 .8366 .8284 .8203 .7812 .7441 .7089 .6756 .6439 .6139 .5854 .5584 .5327 .5083 8398 .8307 .8218 .8130 .8043 .7621 .7224 .6849 .6496 .6162 .5847 .5549 .5268 .5002 .4751 8266 .8169 .8073 .7978 .7885 .7436 .7014 .6618 .6246 .5897 .5568 .5260 .4970 .4697 .4440 8135 .8032 .7930 .7830 .7730 .7254 .6810 .6394 .6006 .5643 .5303 .4986 .4688 .4410 .4150 8007 .7898 .7790 .7684 .7579 .7077 .6611 .6178 .5775 .5400 .5051 .4726 .4423 .4141 .3878 7881 .7766 .7652 .7540 .7430 .6905 .6419 .5969 .5553 .5167 .4810 .4479 .4173 .3888 .3624 7757 .7636 .7517 .7400 .7284 .6736 .6232 .5767 .5339 .4945 .4581 .4246 .3936 .3651 .3387 7635 .7508 .7384 .7262 .7142 .6572 .6050 .5572 .5134 .4732 .4363 .4024 .3714 .3428 .3166 7515 .7383 .7253 .7126 .7002 .6412 .5874 .5384 .4936 .4528 .4155 .3815 .3503 .3219 .2959 7396 .7259 .7125 .6993 .6864 .6255 .5703 .5202 .4746 .4333 .3957 .3616 .3305 .3022 .2765 7280 .7138 .6999 .6863 .6730 .6103 .5537 .5026 .4564 .4146 .3769 .3427 .3118 .2838 .2584 7165 .7019 .6875 .6735 .6598 .5954 .5375 .4856 .4388 .3968 .3589 .3249 .2942 .2665 .2415 7052 .6901 .6754 .6609 .6468 .5809 .5219 .4692 .4220 .3797 .3418 .3079 .2775 .2502 .2257 6941 .6786 .6634 .6486 .6342 .5667 .5067 .4533 .4057 .3634 .3256 .2919 .2618 .2349 .2109 6832 .6673 .6517 .6365 .6217 .5529 .4919 .4380 .3901 .3477 .3101 .2767 .2470 .2206 .1971 6724 .6561 .6402 .6247 .6095 .5394 .4776 .4231 .3751 .3327 .2953 .2622 .2330 .2071 .1842 6619 .6451 .6289 .6130 .5976 .5262 .4637 .4088 .3607 .3184 .2812 .2486 .2198 .1945 .1722 6514 .6344 .6177 .6016 .5859 .5134 .4502 .3950 .3468 .3047 .2678 .2356 .2074 .1826 .1609 6412 .6238 .6068 .5904 .5744 .5009 .4371 .3817 .3335 .2916 .2551 .2233 .1956 .1715 .1504 6311 .6133 .5961 .5794 .5631 .4887 .4243 .3687 .3207 .2790 .2429 .2117 .1846 .1610 .1406 6211 .6031 .5856 .5686 .5521 .4767 .4120 .3563 .3083 .2670 .2314 .2006 .1741 .1512 .1314 6114 .5930 .5752 .5580 .5412 .4651 .4000 .3442 .2965 .2555 .2204 .1902 .1643 .1420 .1228 6017 .5831 .5650 .5476 .5306 .4538 .3883 .3326 .2851 .2445 .2099 .1803 .1550 .1333 .1147 5923 .5733 .5550 .5373 .5202 .4427 .3770 .3213 .2741 .2340 .1999 .1709 .1462 .1252 .1072 5829 .5638 .5452 .5273 .5100 .4319 .3660 .3105 .2636 .2239 .1904 .1620 .1379 .1175 .1002 5737 .5543 .5356 .5175 .5000 .4214 .3554 .3000 .2534 .2143 .1813 .1535 .1301 .1103 .0937 5647 .5451 .5261 .5078 .4902 .4111 .3450 .2898 .2437 .2050 .1727 .1455 .1227 .1036 .0875 5558 .5360 .5168 .4984 .4806 .4011 .3350 .2800 .2343 .1962 .1644 .1379 .1158 .0973 .0818 5471 .5270 .5077 .4891 .4712 .3913 .3252 .2706 .2253 .1878 .1566 .1307 .1092 .0914 .0765 5385 .5182 .4987 .4800 .4619 .3817 .3158 .2614 .2166 .1797 .1491 .1239 .1031 .0858 .0715 5300 .5095 .4899 .4710 .4529 .3724 .3066 .2526 .2083 .1719 .1420 .1175 .0972 .0805 .0668 5216 .5010 .4812 .4622 .4440 .3633 .2976 .2440 .2003 .1645 .1353 .1113 .0917 .0756 .0624 5134 .4926 .4727 .4536 .4353 .3545 .2890 .2358 .1926 .1574 .1288 .1055 .0865 .0710 .0583 5053 .4844 .4644 .4452 .4268 .3458 .2805 .2278 .1852 .1507 .1227 .1000 .0816 .0667 .0545 4974 .4763 .4561 .4369 .4184 .3374 .2724 .2201 .1780 .1442 .1169 .0948 .0770 .0626 .0509 4895 .4683 .4481 .4287 .4102 .3292 .2644 .2127 .1712 .1380 .1113 .0899 .0727 .0588 .0476 4818 .4605 .4402 .4207 .4022 .3211 .2567 .2055 .1646 .1320 .1060 .0852 .0685 .0552 .0445 4742 .4528 .4324 .4129 .3943 .3133 .2493 .1985 .1583 .1263 .1009 .0807 .0647 .0518 .0416 4668 .4452 .4247 .4052 .3865 .3057 .2420 .1918 .1522 .1209 .0961 .0765 .0610 .0487 .0389 4594 .4378 .4172 .3976 .3790 .2982 .2350 .1853 .1463 .1157 .0916 .0725 .0575 .0457 .0363 4522 .4305 .4098 .3902 .3715 .2909 .2281 .1791 .1407 .1107 .0872 .0688 .0543 .0429 .0339 4451 .4233 .4026 .3829 .3642 .2838 .2215 .1730 .1353 .1059 .0831 .0652 .0512 .0403 .0317 4381 .4162 .3955 .3758 .3571 .2769 .2150 .1671 .1301 .1014 .0791 .0618 .0483 .0378 .0297 4312 .4093 .3885 .3688 .3501 .2702 .2088 .1615 .1251 .0970 .0753 .0586 .0456 .0355 .0277 4244 .4024 .3816 .3619 .3432 .2636 .2027 .1560 .1203 .0928 .0717 .0555 .0430 .0334 .0259 4177 .3957 .3749 .3552 .3365 .2572 .1968 .1508 .1157 .0888 .0683 .0526 .0406 .0313 .0242 4111 .3891 .3682 .3485 .3299 .2509 .1910 .1457 .1112 .0850 .0651 .0499 .0383 .0294 .0226 4046 .3826 .3617 .3420 .3234 .2448 .1855 .1407 .1069 .0814 .0620 .0473 .0361 .0276 .0211 3983 .3762 .3553 .3357 .3171 .2388 .1801 .1360 .1028 .0778 .0590 .0448 .0341 .0259 .0198 3920 .3699 .3490 .3294 .3109 .2330 .1748 .1314 .0989 .0745 .0562 .0425 .0321 .0243 .0185 3858 .3637 .3429 .3233 .3048 .2273 .1697 .1269 .0951 .0713 .0535 .0403 .0303 .0229 .0173
Trang 2 / 14
Trang 3Bảng 1: Giá trị hiện tại của $1 trả vào cuối năm n 1/(1+r ) n
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.9302 .9259 .9217 .9174 .9132 .9091 .9009 .8929 .8850 .8772 .8696 .8621 .8547 .8475 0.84 8653 .8573 .8495 .8417 .8340 .8264 .8116 .7972 .7831 .7695 .7561 .7432 .7305 .7182 0.706 8050 .7938 .7829 .7722 .7617 .7513 .7312 .7118 .6931 .6750 .6575 .6407 .6244 .6086 0.593 7488 .7350 .7216 .7084 .6956 .6830 .6587 .6355 .6133 .5921 .5718 .5523 .5337 .5158 0.499 6966 .6806 .6650 .6499 .6352 .6209 .5935 .5674 .5428 .5194 .4972 .4761 .4561 .4371 4190 6480 .6302 .6129 .5963 .5801 .5645 .5346 .5066 .4803 .4556 .4323 .4104 .3898 .3704 3521 6028 .5835 .5649 .5470 .5298 .5132 .4817 .4523 .4251 .3996 .3759 .3538 .3332 .3139 2959 5607 .5403 .5207 .5019 .4838 .4665 .4339 .4039 .3762 .3506 .3269 .3050 .2848 .2660 2487 5216 .5002 .4799 .4604 .4418 .4241 .3909 .3606 .3329 .3075 .2843 .2630 .2434 .2255 2090 4852 .4632 .4423 .4224 .4035 .3855 .3522 .3220 .2946 .2697 .2472 .2267 .2080 .1911 1756 4513 .4289 .4076 .3875 .3685 .3505 .3173 .2875 .2607 .2366 .2149 .1954 .1778 .1619 1476 4199 .3971 .3757 .3555 .3365 .3186 .2858 .2567 .2307 .2076 .1869 .1685 .1520 .1372 1240 3906 .3677 .3463 .3262 .3073 .2897 .2575 .2292 .2042 .1821 .1625 .1452 .1299 .1163 1042 3633 .3405 .3191 .2992 .2807 .2633 .2320 .2046 .1807 .1597 .1413 .1252 .1110 .0985 0876 3380 .3152 .2941 .2745 .2563 .2394 .2090 .1827 .1599 .1401 .1229 .1079 .0949 .0835 0736 3144 .2919 .2711 .2519 .2341 .2176 .1883 .1631 .1415 .1229 .1069 .0930 .0811 .0708 0618 2925 .2703 .2499 .2311 .2138 .1978 .1696 .1456 .1252 .1078 .0929 .0802 .0693 .0600 0520 2720 .2502 .2303 .2120 .1952 .1799 .1528 .1300 .1108 .0946 .0808 .0691 .0592 .0508 0437 2531 .2317 .2122 .1945 .1783 .1635 .1377 .1161 .0981 .0829 .0703 .0596 .0506 .0431 0367 2354 .2145 .1956 .1784 .1628 .1486 .1240 .1037 .0868 .0728 .0611 .0514 .0433 .0365 0308 2190 .1987 .1803 .1637 .1487 .1351 .1117 .0926 .0768 .0638 .0531 .0443 .0370 .0309 0259 2037 .1839 .1662 .1502 .1358 .1228 .1007 .0826 .0680 .0560 .0462 .0382 .0316 .0262 0218 1895 .1703 .1531 .1378 .1240 .1117 .0907 .0738 .0601 .0491 .0402 .0329 .0270 .0222 0183 1763 .1577 .1412 .1264 .1133 .1015 .0817 .0659 .0532 .0431 .0349 .0284 .0231 .0188 0154 1640 .1460 .1301 .1160 .1034 .0923 .0736 .0588 .0471 .0378 .0304 .0245 .0197 .0160 0129 1525 .1352 .1199 .1064 .0945 .0839 .0663 .0525 .0417 .0331 .0264 .0211 .0169 .0135 0109 1419 .1252 .1105 .0976 .0863 .0763 .0597 .0469 .0369 .0291 .0230 .0182 .0144 .0115 0091 1320 .1159 .1019 .0895 .0788 .0693 .0538 .0419 .0326 .0255 .0200 .0157 .0123 .0097 0077 1228 .1073 .0939 .0822 .0719 .0630 .0485 .0374 .0289 .0224 .0174 .0135 .0105 .0082 0064 1142 .0994 .0865 .0754 .0657 .0573 .0437 .0334 .0256 .0196 .0151 .0116 .0090 .0070 0054 1063 .0920 .0797 .0691 .0600 .0521 .0394 .0298 .0226 .0172 .0131 .0100 .0077 .0059 0046 0988 .0852 .0735 .0634 .0548 .0474 .0355 .0266 .0200 .0151 .0114 .0087 .0066 .0050 0038 0919 .0789 .0677 .0582 .0500 .0431 .0319 .0238 .0177 .0132 .0099 .0075 .0056 .0042 0032 0855 .0730 .0624 .0534 .0457 .0391 .0288 .0212 .0157 .0116 .0086 .0064 .0048 .0036 0027 0796 .0676 .0575 .0490 .0417 .0356 .0259 .0189 .0139 .0102 .0075 .0055 .0041 .0030 0023 0740 .0626 .0530 .0449 .0381 .0323 .0234 .0169 .0123 .0089 .0065 .0048 .0035 .0026 0019 0688 .0580 .0489 .0412 .0348 .0294 .0210 .0151 .0109 .0078 .0057 .0041 .0030 .0022 0016 0640 .0537 .0450 .0378 .0318 .0267 .0190 .0135 .0096 .0069 .0049 .0036 .0026 .0019 0013 0596 .0497 .0415 .0347 .0290 .0243 .0171 .0120 .0085 .0060 .0043 .0031 .0022 .0016 0011 0554 .0460 .0383 .0318 .0265 .0221 .0154 .0107 .0075 .0053 .0037 .0026 .0019 .0013 0010 0516 .0426 .0353 .0292 .0242 .0201 .0139 .0096 .0067 .0046 .0032 .0023 .0016 .0011 0008 0480 .0395 .0325 .0268 .0221 .0183 .0125 .0086 .0059 .0041 .0028 .0020 .0014 .0010 0007 0446 .0365 .0300 .0246 .0202 .0166 .0112 .0076 .0052 .0036 .0025 .0017 .0012 .0008 0006 0415 .0338 .0276 .0226 .0184 .0151 .0101 .0068 .0046 .0031 .0021 .0015 .0010 .0007 0005 0386 .0313 .0254 .0207 .0168 .0137 .0091 .0061 .0041 .0027 .0019 .0013 .0009 .0006 0004 0359 .0290 .0235 .0190 .0154 .0125 .0082 .0054 .0036 .0024 .0016 .0011 .0007 .0005 0003 0334 .0269 .0216 .0174 .0140 .0113 .0074 .0049 .0032 .0021 .0014 .0009 .0006 .0004 0003 0311 .0249 .0199 .0160 .0128 .0103 .0067 .0043 .0028 .0019 .0012 .0008 .0005 .0004 0002 0289 .0230 .0184 .0147 .0117 .0094 .0060 .0039 .0025 .0016 .0011 .0007 .0005 .0003 0002 0269 .0213 .0169 .0134 .0107 .0085 .0054 .0035 .0022 .0014 .0009 .0006 .0004 .0003 0002 0250 .0197 .0156 .0123 .0098 .0077 .0049 .0031 .0020 .0013 .0008 .0005 .0003 .0002 0001 0233 .0183 .0144 .0113 .0089 .0070 .0044 .0028 .0017 .0011 .0007 .0004 .0003 .0002 0001 0216 .0169 .0133 .0104 .0081 .0064 .0040 .0025 .0015 .0010 .0006 .0004 .0002 .0002 0001 0201 .0157 .0122 .0095 .0074 .0058 .0036 .0022 .0014 .0008 .0005 .0003 .0002 .0001 0001 0187 .0145 .0113 .0087 .0068 .0053 .0032 .0020 .0012 .0007 .0005 .0003 .0002 .0001 0001 0174 .0134 .0104 .0080 .0062 .0048 .0029 .0018 .0011 .0007 .0004 .0002 .0002 .0001 0001 0162 .0124 .0096 .0074 .0057 .0044 .0026 .0016 .0009 .0006 .0003 .0002 .0001 .0001 0000 0151 .0115 .0088 .0067 .0052 .0040 .0024 .0014 .0008 .0005 .0003 .0002 .0001 .0001 0000 0140 .0107 .0081 .0062 .0047 .0036 .0021 .0012 .0007 .0004 .0003 .0002 .0001 .0001 0000 0130 .0099 .0075 .0057 .0043 .0033 .0019 .0011 .0007 .0004 .0002 .0001 .0001 .0000 0000
Trang 3 / 14
Trang 4Bảng 1: Giá trị hiện tại của $1 trả vào cuối năm n 1/(1+r ) n
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.4019 3855 3700 3552 3411 3277 3149 3027 2910 2799 2693 2230 1859 1317 3349 3186 3033 2888 2751 2621 2499 2383 2274 2170 2072 1652 1328 0878 2791 2633 2486 2348 2218 2097 1983 1877 1776 1682 1594 1224 0949 0585 2326 2176 2038 1909 1789 1678 1574 1478 1388 1304 1226 0906 0678 0390 1938 1799 1670 1552 1443 1342 1249 1164 1084 1011 0943 0671 0484 0260 1615 1486 1369 1262 1164 1074 0992 0916 0847 0784 0725 0497 0346 0173 1346 1228 1122 1026 0938 0859 0787 0721 0662 0607 0558 0368 0247 0116 1122 1015 0920 0834 0757 0687 0625 0568 0517 0471 0429 0273 0176 0077 0935 0839 0754 0678 0610 0550 0496 0447 0404 0365 0330 0202 0126 0051 0779 0693 0618 0551 0492 0440 0393 0352 0316 0283 0254 0150 0090 0034
.0541 0474 0415 0364 0320 0281 0248 0218 0193 0170 0150 0082 0046 0015 0451 0391 0340 0296 0258 0225 0197 0172 0150 0132 0116 0061 0033 0010 0376 0323 0279 0241 0208 0180 0156 0135 0118 0102 0089 0045 0023 0007 0313 0267 0229 0196 0168 0144 0124 0107 0092 0079 0068 0033 0017 0005 0261 0221 0187 0159 0135 0115 0098 0084 0072 0061 0053 0025 0012 0003 0217 0183 0154 0129 0109 0092 0078 0066 0056 0048 0040 0018 0009 0002 0181 0151 0126 0105 0088 0074 0062 0052 0044 0037 0031 0014 0006 0001 0151 0125 0103 0086 0071 0059 0049 0041 0034 0029 0024 0010 0004 0001 0126 0103 0085 0070 0057 0047 0039 0032 0027 0022 0018 0007 0003 0001 0105 0085 0069 0057 0046 0038 0031 0025 0021 0017 0014 0006 0002 0000 0087 0070 0057 0046 0037 0030 0025 0020 0016 0013 0011 0004 0002 0000 0073 0058 0047 0037 0030 0024 0019 0016 0013 0010 0008 0003 0001 0000 0061 0048 0038 0030 0024 0019 0015 0012 0010 0008 0006 0002 0001 0000 0051 0040 0031 0025 0020 0015 0012 0010 0008 0006 0005 0002 0001 0000 0042 0033 0026 0020 0016 0012 0010 0008 0006 0005 0004 0001 0000 0000 0035 0027 0021 0016 0013 0010 0008 0006 0005 0004 0003 0001 0000 0000 0029 0022 0017 0013 0010 0008 0006 0005 0004 0003 0002 0001 0000 0000
.0020 0015 0012 0009 0007 0005 0004 0003 0002 0002 0001 0000 0000 0000 0017 0013 0009 0007 0005 0004 0003 0002 0002 0001 0001 0000 0000 0000 0014 0010 0008 0006 0004 0003 0002 0002 0001 0001 0001 0000 0000 0000 0012 0009 0006 0005 0003 0003 0002 0001 0001 0001 0001 0000 0000 0000 0010 0007 0005 0004 0003 0002 0002 0001 0001 0001 0000 0000 0000 0000 0008 0006 0004 0003 0002 0002 0001 0001 0001 0000 0000 0000 0000 0000 0007 0005 0004 0003 0002 0001 0001 0001 0001 0000 0000 0000 0000 0000 0006 0004 0003 0002 0001 0001 0001 0001 0000 0000 0000 0000 0000 0000 0005 0003 0002 0002 0001 0001 0001 0000 0000 0000 0000 0000 0000 0000 0004 0003 0002 0001 0001 0001 0000 0000 0000 0000 0000 0000 0000 0000 0003 0002 0002 0001 0001 0001 0000 0000 0000 0000 0000 0000 0000 0000 0003 0002 0001 0001 0001 0000 0000 0000 0000 0000 0000 0000 0000 0000 0002 0002 0001 0001 0001 0000 0000 0000 0000 0000 0000 0000 0000 0000 0002 0001 0001 0001 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0002 0001 0001 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0001 0001 0001 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0001 0001 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0001 0001 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0001 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0001 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0001 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000
Trang 4 / 14
Trang 5Bảng 2: Giá trị hiện tại của niên kim cho luồng tiền liên tục $1 trong n kỳ hạn là 1/r - 1/(1+r )
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0.9990 0.9980 0.9970 0.9960 0.9950 0.9940 0.9930 0.9921 0.9911 0.9901 0.9891 0.9881 0.9872 0.9862 0.9852 1.9970 1.9940 1.9910 1.9881 1.9851 1.9821 1.9792 1.9763 1.9733 1.9704 1.9675 1.9646 1.9617 1.9588 1.9559 2.9940 2.9880 2.9821 2.9762 2.9702 2.9644 2.9585 2.9526 2.9468 2.9410 2.9352 2.9294 2.9237 2.9179 2.9122 3.9900 3.9801 3.9702 3.9603 3.9505 3.9407 3.9310 3.9213 3.9116 3.9020 3.8924 3.8828 3.8733 3.8638 3.8544
5 4.9850 4.9701 4.9553 4.9406 4.9259 4.9112 4.8967 4.8822 4.8678 4.8534 4.8391 4.8249 4.8108 4.7967 4.7826
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5.9791 5.9582 5.9375 5.9169 5.8964 5.8760 5.8557 5.8355 5.8154 5.7955 5.7756 5.7559 5.7362 5.7166 5.6972 6.9721 6.9443 6.9168 6.8893 6.8621 6.8350 6.8080 6.7813 6.7547 6.7282 6.7019 6.6757 6.6497 6.6239 6.5982 7.9641 7.9285 7.8931 7.8579 7.8230 7.7882 7.7538 7.7195 7.6855 7.6517 7.6181 7.5847 7.5516 7.5186 7.4859 8.9552 8.9107 8.8665 8.8226 8.7791 8.7358 8.6929 8.6503 8.6080 8.5660 8.5243 8.4829 8.4418 8.4010 8.3605
10 9.9452 9.8909 9.8370 9.7835 9.7304 9.6778 9.6255 9.5737 9.5223 9.4713 9.4207 9.3705 9.3207 9.2712 9.2222 11
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10.934 10.869 10.805 10.741 10.677 10.614 10.552 10.490 10.428 10.368 10.307 10.248 10.188 10.129 10.071 11.922 11.845 11.769 11.694 11.619 11.545 11.471 11.399 11.327 11.255 11.184 11.114 11.045 10.976 10.908 12.909 12.820 12.731 12.643 12.556 12.470 12.385 12.300 12.217 12.134 12.052 11.970 11.890 11.810 11.732 13.896 13.792 13.690 13.589 13.489 13.390 13.292 13.195 13.099 13.004 12.910 12.817 12.725 12.634 12.543
15 14.881 14.763 14.646 14.531 14.417 14.304 14.192 14.082 13.973 13.865 13.758 13.653 13.549 13.445 13.343 16
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15.865 15.731 15.599 15.469 15.340 15.213 15.087 14.962 14.839 14.718 14.598 14.479 14.362 14.246 14.131 16.848 16.698 16.550 16.403 16.259 16.116 15.975 15.836 15.698 15.562 15.428 15.296 15.165 15.035 14.908 17.830 17.663 17.497 17.334 17.173 17.014 16.857 16.702 16.549 16.398 16.249 16.102 15.957 15.814 15.673 18.811 18.625 18.442 18.261 18.082 17.906 17.733 17.562 17.393 17.226 17.062 16.900 16.740 16.582 16.426
20 19.792 19.586 19.384 19.184 18.987 18.794 18.603 18.414 18.229 18.046 17.865 17.687 17.512 17.339 17.169 21
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20.771 20.545 20.323 20.104 19.888 19.676 19.466 19.260 19.057 18.857 18.660 18.466 18.274 18.086 17.900 21.749 21.502 21.259 21.020 20.784 20.552 20.324 20.099 19.878 19.660 19.446 19.235 19.027 18.822 18.621 22.726 22.457 22.192 21.932 21.676 21.424 21.176 20.932 20.692 20.456 20.224 19.995 19.770 19.549 19.331 23.703 23.410 23.123 22.841 22.563 22.290 22.022 21.758 21.498 21.243 20.993 20.746 20.503 20.265 20.030
25 24.678 24.362 24.051 23.746 23.446 23.151 22.862 22.577 22.298 22.023 21.753 21.488 21.228 20.971 20.720 26
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25.652 25.311 24.976 24.647 24.324 24.007 23.696 23.390 23.090 22.795 22.506 22.221 21.942 21.668 21.399 26.626 26.258 25.898 25.545 25.198 24.858 24.524 24.196 23.875 23.560 23.250 22.946 22.648 22.355 22.068 27.598 27.204 26.818 26.439 26.068 25.704 25.347 24.997 24.653 24.316 23.986 23.662 23.344 23.033 22.727 28.569 28.148 27.735 27.330 26.933 26.544 26.163 25.790 25.424 25.066 24.714 24.370 24.032 23.701 23.376
30 29.540 29.090 28.649 28.217 27.794 27.380 26.975 26.578 26.189 25.808 25.435 25.069 24.711 24.360 24.016 31
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30.509 30.029 29.560 29.100 28.651 28.211 27.780 27.359 26.946 26.542 26.147 25.760 25.381 25.010 24.646 31.478 30.968 30.468 29.980 29.503 29.037 28.580 28.134 27.697 27.270 26.852 26.442 26.042 25.651 25.267 32.445 31.904 31.374 30.857 30.352 29.857 29.375 28.902 28.441 27.990 27.549 27.117 26.695 26.283 25.879 33.412 32.838 32.278 31.730 31.196 30.673 30.163 29.665 29.178 28.703 28.238 27.784 27.340 26.906 26.482
35 34.378 33.770 33.178 32.600 32.035 31.484 30.947 30.422 29.909 29.409 28.920 28.442 27.976 27.521 27.076 36
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35.342 34.701 34.076 33.466 32.871 32.291 31.725 31.172 30.633 30.108 29.594 29.093 28.604 28.127 27.661 36.306 35.630 34.971 34.329 33.703 33.092 32.497 31.917 31.351 30.800 30.261 29.736 29.224 28.725 28.237 37.269 36.557 35.863 35.188 34.530 33.889 33.264 32.656 32.063 31.485 30.921 30.372 29.836 29.314 28.805 38.231 37.482 36.753 36.044 35.353 34.681 34.026 33.389 32.768 32.163 31.574 31.000 30.441 29.896 29.365
40 39.191 38.405 37.640 36.896 36.172 35.468 34.783 34.116 33.467 32.835 32.219 31.621 31.037 30.469 29.916 41
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40.151 39.326 38.525 37.745 36.987 36.250 35.534 34.837 34.159 33.500 32.858 32.234 31.626 31.035 30.459 41.110 40.246 39.406 38.591 37.798 37.028 36.280 35.553 34.846 34.158 33.490 32.840 32.207 31.592 30.994 42.068 41.163 40.285 39.433 38.605 37.801 37.021 36.263 35.526 34.810 34.114 33.438 32.781 32.142 31.521 43.025 42.079 41.162 40.272 39.408 38.570 37.757 36.967 36.200 35.455 34.732 34.030 33.348 32.685 32.041
45 43.981 42.993 42.036 41.107 40.207 39.334 38.487 37.665 36.868 36.095 35.344 34.615 33.907 33.220 32.552 46
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44.936 43.906 42.907 41.940 41.002 40.094 39.213 38.359 37.530 36.727 35.948 35.192 34.459 33.747 33.056 45.890 44.816 43.776 42.769 41.793 40.848 39.933 39.046 38.187 37.354 36.546 35.763 35.004 34.268 33.553 46.843 45.724 44.642 43.594 42.580 41.599 40.649 39.728 38.837 37.974 37.138 36.327 35.542 34.781 34.043 47.796 46.631 45.505 44.417 43.364 42.345 41.359 40.405 39.482 38.588 37.723 36.885 36.073 35.287 34.525
50 48.747 47.536 46.366 45.236 44.143 43.086 42.065 41.077 40.121 39.196 38.301 37.435 36.597 35.786 35.000 51
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49.697 48.439 47.225 46.051 44.918 43.823 42.765 41.743 40.754 39.798 38.874 37.980 37.115 36.278 35.468 50.646 49.341 48.080 46.864 45.690 44.556 43.461 42.403 41.382 40.394 39.440 38.517 37.626 36.763 35.929 51.595 50.240 48.934 47.673 46.457 45.284 44.152 43.059 42.004 40.984 40.000 39.049 38.130 37.242 36.383 52.542 51.138 49.784 48.479 47.221 46.008 44.838 43.709 42.620 41.569 40.554 39.574 38.628 37.714 36.831
55 53.489 52.034 50.632 49.282 47.981 46.728 45.519 44.354 43.231 42.147 41.102 40.093 39.119 38.179 37.271 56
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54.434 52.928 51.478 50.082 48.738 47.443 46.196 44.994 43.836 42.720 41.644 40.606 39.604 38.638 37.706 55.379 53.820 52.321 50.878 49.490 48.154 46.868 45.629 44.436 43.287 42.180 41.112 40.083 39.091 38.134 56.323 54.711 53.161 51.672 50.239 48.861 47.535 46.259 45.031 43.849 42.710 41.613 40.556 39.537 38.556 57.265 55.600 53.999 52.462 50.984 49.564 48.198 46.884 45.621 44.405 43.234 42.108 41.023 39.978 38.971
60 58.207 56.487 54.835 53.249 51.726 50.262 48.856 47.504 46.205 44.955 43.753 42.596 41.483 40.412 39.380
Trang 5 / 14
Trang 6Bảng 2: Giá trị hiện tại của niên kim cho luồng tiền liên tục $1 trong n kỳ hạn là 1/r - 1/(1+r )
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0.9843 0.9833 0.9823 0.9814 0.9804 0.9756 0.9709 0.9662 0.9615 0.9569 0.9524 0.9479 0.9434 0.9390 0.9346 1.9530 1.9501 1.9473 1.9444 1.9416 1.9274 1.9135 1.8997 1.8861 1.8727 1.8594 1.8463 1.8334 1.8206 1.8080 2.9065 2.9008 2.8952 2.8895 2.8839 2.8560 2.8286 2.8016 2.7751 2.7490 2.7232 2.6979 2.6730 2.6485 2.6243 3.8450 3.8356 3.8263 3.8170 3.8077 3.7620 3.7171 3.6731 3.6299 3.5875 3.5460 3.5052 3.4651 3.4258 3.3872 4.7687 4.7548 4.7409 4.7272 4.7135 4.6458 4.5797 4.5151 4.4518 4.3900 4.3295 4.2703 4.2124 4.1557 4.1002 5.6778 5.6586 5.6394 5.6204 5.6014 5.5081 5.4172 5.3286 5.2421 5.1579 5.0757 4.9955 4.9173 4.8410 4.7665 6.5727 6.5473 6.5220 6.4969 6.4720 6.3494 6.2303 6.1145 6.0021 5.8927 5.7864 5.6830 5.5824 5.4845 5.3893 7.4534 7.4211 7.3890 7.3572 7.3255 7.1701 7.0197 6.8740 6.7327 6.5959 6.4632 6.3346 6.2098 6.0888 5.9713 8.3203 8.2804 8.2407 8.2013 8.1622 7.9709 7.7861 7.6077 7.4353 7.2688 7.1078 6.9522 6.8017 6.6561 6.5152 9.1735 9.1252 9.0773 9.0298 8.9826 8.7521 8.5302 8.3166 8.1109 7.9127 7.7217 7.5376 7.3601 7.1888 7.0236 10.013 9.9560 9.8991 9.8428 9.7868 9.5142 9.2526 9.0016 8.7605 8.5289 8.3064 8.0925 7.8869 7.6890 7.4987 10.840 10.773 10.706 10.641 10.575 10.258 9.9540 9.6633 9.3851 9.1186 8.8633 8.6185 8.3838 8.1587 7.9427 11.653 11.576 11.499 11.424 11.348 10.983 10.635 10.303 9.9856 9.6829 9.3936 9.1171 8.8527 8.5997 8.3577 12.454 12.366 12.278 12.192 12.106 11.691 11.296 10.921 10.563 10.223 9.8986 9.5896 9.2950 9.0138 8.7455 13.242 13.142 13.044 12.946 12.849 12.381 11.938 11.517 11.118 10.740 10.380 10.038 9.7122 9.4027 9.1079 14.018 13.906 13.795 13.686 13.578 13.055 12.561 12.094 11.652 11.234 10.838 10.462 10.106 9.7678 9.4466 14.781 14.657 14.534 14.412 14.292 13.712 13.166 12.651 12.166 11.707 11.274 10.865 10.477 10.111 9.7632 15.533 15.395 15.259 15.125 14.992 14.353 13.754 13.190 12.659 12.160 11.690 11.246 10.828 10.432 10.059 16.273 16.121 15.972 15.824 15.678 14.979 14.324 13.710 13.134 12.593 12.085 11.608 11.158 10.735 10.336 17.001 16.835 16.671 16.510 16.351 15.589 14.877 14.212 13.590 13.008 12.462 11.950 11.470 11.019 10.594 17.717 17.537 17.359 17.184 17.011 16.185 15.415 14.698 14.029 13.405 12.821 12.275 11.764 11.285 10.836 18.422 18.227 18.034 17.845 17.658 16.765 15.937 15.167 14.451 13.784 13.163 12.583 12.042 11.535 11.061 19.116 18.905 18.698 18.493 18.292 17.332 16.444 15.620 14.857 14.148 13.489 12.875 12.303 11.770 11.272 19.800 19.573 19.350 19.130 18.914 17.885 16.936 16.058 15.247 14.495 13.799 13.152 12.550 11.991 11.469 20.472 20.229 19.990 19.755 19.523 18.424 17.413 16.482 15.622 14.828 14.094 13.414 12.783 12.198 11.654 21.134 20.874 20.619 20.368 20.121 18.951 17.877 16.890 15.983 15.147 14.375 13.662 13.003 12.392 11.826 21.785 21.508 21.236 20.969 20.707 19.464 18.327 17.285 16.330 15.451 14.643 13.898 13.211 12.575 11.987 22.427 22.132 21.843 21.560 21.281 19.965 18.764 17.667 16.663 15.743 14.898 14.121 13.406 12.746 12.137 23.058 22.745 22.439 22.139 21.844 20.454 19.188 18.036 16.984 16.022 15.141 14.333 13.591 12.907 12.278 23.679 23.349 23.025 22.707 22.396 20.930 19.600 18.392 17.292 16.289 15.372 14.534 13.765 13.059 12.409 24.290 23.942 23.600 23.265 22.938 21.395 20.000 18.736 17.588 16.544 15.593 14.724 13.929 13.201 12.532 24.892 24.525 24.165 23.813 23.468 21.849 20.389 19.069 17.874 16.789 15.803 14.904 14.084 13.334 12.647 25.484 25.098 24.720 24.350 23.989 22.292 20.766 19.390 18.148 17.023 16.003 15.075 14.230 13.459 12.754 26.067 25.662 25.265 24.878 24.499 22.724 21.132 19.701 18.411 17.247 16.193 15.237 14.368 13.577 12.854 26.641 26.216 25.801 25.395 24.999 23.145 21.487 20.001 18.665 17.461 16.374 15.391 14.498 13.687 12.948 27.206 26.761 26.327 25.903 25.489 23.556 21.832 20.290 18.908 17.666 16.547 15.536 14.621 13.791 13.035 27.761 27.297 26.844 26.401 25.969 23.957 22.167 20.571 19.143 17.862 16.711 15.674 14.737 13.888 13.117 28.308 27.824 27.351 26.890 26.441 24.349 22.492 20.841 19.368 18.050 16.868 15.805 14.846 13.979 13.193 28.847 28.342 27.850 27.370 26.903 24.730 22.808 21.102 19.584 18.230 17.017 15.929 14.949 14.065 13.265 29.377 28.852 28.340 27.841 27.355 25.103 23.115 21.355 19.793 18.402 17.159 16.046 15.046 14.146 13.332 29.898 29.353 28.821 28.304 27.799 25.466 23.412 21.599 19.993 18.566 17.294 16.157 15.138 14.221 13.394 30.412 29.845 29.294 28.757 28.235 25.821 23.701 21.835 20.186 18.724 17.423 16.263 15.225 14.292 13.452 30.917 30.330 29.758 29.202 28.662 26.166 23.982 22.063 20.371 18.874 17.546 16.363 15.306 14.359 13.507 31.415 30.806 30.214 29.639 29.080 26.504 24.254 22.283 20.549 19.018 17.663 16.458 15.383 14.421 13.558 31.904 31.274 30.663 30.068 29.490 26.833 24.519 22.495 20.720 19.156 17.774 16.548 15.456 14.480 13.606 32.386 31.735 31.103 30.489 29.892 27.154 24.775 22.701 20.885 19.288 17.880 16.633 15.524 14.535 13.650 32.860 32.188 31.535 30.902 30.287 27.467 25.025 22.899 21.043 19.415 17.981 16.714 15.589 14.587 13.692 33.327 32.633 31.960 31.307 30.673 27.773 25.267 23.091 21.195 19.536 18.077 16.790 15.650 14.636 13.730 33.786 33.071 32.377 31.704 31.052 28.071 25.502 23.277 21.341 19.651 18.169 16.863 15.708 14.682 13.767 34.239 33.501 32.787 32.095 31.424 28.362 25.730 23.456 21.482 19.762 18.256 16.932 15.762 14.725 13.801 34.684 33.924 33.189 32.477 31.788 28.646 25.951 23.629 21.617 19.868 18.339 16.997 15.813 14.765 13.832 35.122 34.341 33.585 32.853 32.145 28.923 26.166 23.796 21.748 19.969 18.418 17.058 15.861 14.803 13.862 35.553 34.750 33.973 33.222 32.495 29.193 26.375 23.957 21.873 20.066 18.493 17.117 15.907 14.838 13.890 35.977 35.152 34.355 33.584 32.838 29.457 26.578 24.113 21.993 20.159 18.565 17.173 15.950 14.872 13.916 36.395 35.548 34.730 33.939 33.175 29.714 26.774 24.264 22.109 20.248 18.633 17.225 15.991 14.903 13.940 36.806 35.937 35.098 34.288 33.505 29.965 26.965 24.410 22.220 20.333 18.699 17.275 16.029 14.932 13.963 37.211 36.320 35.460 34.630 33.828 30.210 27.151 24.550 22.327 20.414 18.761 17.322 16.065 14.960 13.984 37.609 36.696 35.815 34.965 34.145 30.448 27.331 24.686 22.430 20.492 18.820 17.367 16.099 14.986 14.003 38.001 37.066 36.164 35.295 34.456 30.681 27.506 24.818 22.528 20.567 18.876 17.410 16.131 15.010 14.022 38.387 37.429 36.507 35.618 34.761 30.909 27.676 24.945 22.623 20.638 18.929 17.450 16.161 15.033 14.039
Trang 6 / 14
Trang 7Bảng 2: Giá trị hiện tại của niên kim cho luồng tiền liên tục $1 trong n kỳ hạn là 1/r - 1/(1+r )
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0.9302 0.9259 0.9217 0.9174 0.9132 0.9091 0.9009 0.8929 0.8850 0.8772 0.8696 0.8621 0.8547 0.8475 0.8403 1.7956 1.7833 1.7711 1.7591 1.7473 1.7355 1.7125 1.6901 1.6681 1.6467 1.6257 1.6052 1.5852 1.5656 1.5465 2.6005 2.5771 2.5540 2.5313 2.5089 2.4869 2.4437 2.4018 2.3612 2.3216 2.2832 2.2459 2.2096 2.1743 2.1399 3.3493 3.3121 3.2756 3.2397 3.2045 3.1699 3.1024 3.0373 2.9745 2.9137 2.8550 2.7982 2.7432 2.6901 2.6386 4.0459 3.9927 3.9406 3.8897 3.8397 3.7908 3.6959 3.6048 3.5172 3.4331 3.3522 3.2743 3.1993 3.1272 3.0576 4.6938 4.6229 4.5536 4.4859 4.4198 4.3553 4.2305 4.1114 3.9975 3.8887 3.7845 3.6847 3.5892 3.4976 3.4098 5.2966 5.2064 5.1185 5.0330 4.9496 4.8684 4.7122 4.5638 4.4226 4.2883 4.1604 4.0386 3.9224 3.8115 3.7057 5.8573 5.7466 5.6392 5.5348 5.4334 5.3349 5.1461 4.9676 4.7988 4.6389 4.4873 4.3436 4.2072 4.0776 3.9544 6.3789 6.2469 6.1191 5.9952 5.8753 5.7590 5.5370 5.3282 5.1317 4.9464 4.7716 4.6065 4.4506 4.3030 4.1633 6.8641 6.7101 6.5613 6.4177 6.2788 6.1446 5.8892 5.6502 5.4262 5.2161 5.0188 4.8332 4.6586 4.4941 4.3389 7.3154 7.1390 6.9690 6.8052 6.6473 6.4951 6.2065 5.9377 5.6869 5.4527 5.2337 5.0286 4.8364 4.6560 4.4865 7.7353 7.5361 7.3447 7.1607 6.9838 6.8137 6.4924 6.1944 5.9176 5.6603 5.4206 5.1971 4.9884 4.7932 4.6105 8.1258 7.9038 7.6910 7.4869 7.2912 7.1034 6.7499 6.4235 6.1218 5.8424 5.5831 5.3423 5.1183 4.9095 4.7147 8.4892 8.2442 8.0101 7.7862 7.5719 7.3667 6.9819 6.6282 6.3025 6.0021 5.7245 5.4675 5.2293 5.0081 4.8023 8.8271 8.5595 8.3042 8.0607 7.8282 7.6061 7.1909 6.8109 6.4624 6.1422 5.8474 5.5755 5.3242 5.0916 4.8759 9.1415 8.8514 8.5753 8.3126 8.0623 7.8237 7.3792 6.9740 6.6039 6.2651 5.9542 5.6685 5.4053 5.1624 4.9377 9.4340 9.1216 8.8252 8.5436 8.2760 8.0216 7.5488 7.1196 6.7291 6.3729 6.0472 5.7487 5.4746 5.2223 4.9897 9.7060 9.3719 9.0555 8.7556 8.4713 8.2014 7.7016 7.2497 6.8399 6.4674 6.1280 5.8178 5.5339 5.2732 5.0333 9.9591 9.6036 9.2677 8.9501 8.6496 8.3649 7.8393 7.3658 6.9380 6.5504 6.1982 5.8775 5.5845 5.3162 5.0700 10.194 9.8181 9.4633 9.1285 8.8124 8.5136 7.9633 7.4694 7.0248 6.6231 6.2593 5.9288 5.6278 5.3527 5.1009 10.413 10.017 9.6436 9.2922 8.9611 8.6487 8.0751 7.5620 7.1016 6.6870 6.3125 5.9731 5.6648 5.3837 5.1268 10.617 10.201 9.8098 9.4424 9.0969 8.7715 8.1757 7.6446 7.1695 6.7429 6.3587 6.0113 5.6964 5.4099 5.1486 10.807 10.371 9.9629 9.5802 9.2209 8.8832 8.2664 7.7184 7.2297 6.7921 6.3988 6.0442 5.7234 5.4321 5.1668 10.983 10.529 10.104 9.7066 9.3341 8.9847 8.3481 7.7843 7.2829 6.8351 6.4338 6.0726 5.7465 5.4509 5.1822 11.147 10.675 10.234 9.8226 9.4376 9.0770 8.4217 7.8431 7.3300 6.8729 6.4641 6.0971 5.7662 5.4669 5.1951 11.299 10.810 10.354 9.9290 9.5320 9.1609 8.4881 7.8957 7.3717 6.9061 6.4906 6.1182 5.7831 5.4804 5.2060 11.441 10.935 10.465 10.027 9.6183 9.2372 8.5478 7.9426 7.4086 6.9352 6.5135 6.1364 5.7975 5.4919 5.2151 11.573 11.051 10.566 10.116 9.6971 9.3066 8.6016 7.9844 7.4412 6.9607 6.5335 6.1520 5.8099 5.5016 5.2228 11.696 11.158 10.660 10.198 9.7690 9.3696 8.6501 8.0218 7.4701 6.9830 6.5509 6.1656 5.8204 5.5098 5.2292 11.810 11.258 10.747 10.274 9.8347 9.4269 8.6938 8.0552 7.4957 7.0027 6.5660 6.1772 5.8294 5.5168 5.2347 11.917 11.350 10.827 10.343 9.8947 9.4790 8.7331 8.0850 7.5183 7.0199 6.5791 6.1872 5.8371 5.5227 5.2392 12.015 11.435 10.900 10.406 9.9495 9.5264 8.7686 8.1116 7.5383 7.0350 6.5905 6.1959 5.8437 5.5277 5.2430 12.107 11.514 10.968 10.464 9.9996 9.5694 8.8005 8.1354 7.5560 7.0482 6.6005 6.2034 5.8493 5.5320 5.2462 12.193 11.587 11.030 10.518 10.045 9.6086 8.8293 8.1566 7.5717 7.0599 6.6091 6.2098 5.8541 5.5356 5.2489 12.273 11.655 11.088 10.567 10.087 9.6442 8.8552 8.1755 7.5856 7.0700 6.6166 6.2153 5.8582 5.5386 5.2512 12.347 11.717 11.141 10.612 10.125 9.6765 8.8786 8.1924 7.5979 7.0790 6.6231 6.2201 5.8617 5.5412 5.2531 12.415 11.775 11.190 10.653 10.160 9.7059 8.8996 8.2075 7.6087 7.0868 6.6288 6.2242 5.8647 5.5434 5.2547 12.479 11.829 11.235 10.691 10.192 9.7327 8.9186 8.2210 7.6183 7.0937 6.6338 6.2278 5.8673 5.5452 5.2561 12.539 11.879 11.276 10.726 10.221 9.7570 8.9357 8.2330 7.6268 7.0997 6.6380 6.2309 5.8695 5.5468 5.2572 12.594 11.925 11.315 10.757 10.247 9.7791 8.9511 8.2438 7.6344 7.1050 6.6418 6.2335 5.8713 5.5482 5.2582 12.646 11.967 11.350 10.787 10.271 9.7991 8.9649 8.2534 7.6410 7.1097 6.6450 6.2358 5.8729 5.5493 5.2590 12.694 12.007 11.382 10.813 10.294 9.8174 8.9774 8.2619 7.6469 7.1138 6.6478 6.2377 5.8743 5.5502 5.2596 12.739 12.043 11.412 10.838 10.314 9.8340 8.9886 8.2696 7.6522 7.1173 6.6503 6.2394 5.8755 5.5510 5.2602 12.780 12.077 11.440 10.861 10.332 9.8491 8.9988 8.2764 7.6568 7.1205 6.6524 6.2409 5.8765 5.5517 5.2607 12.819 12.108 11.465 10.881 10.349 9.8628 9.0079 8.2825 7.6609 7.1232 6.6543 6.2421 5.8773 5.5523 5.2611 12.855 12.137 11.489 10.900 10.364 9.8753 9.0161 8.2880 7.6645 7.1256 6.6559 6.2432 5.8781 5.5528 5.2614 12.888 12.164 11.510 10.918 10.378 9.8866 9.0235 8.2928 7.6677 7.1277 6.6573 6.2442 5.8787 5.5532 5.2617 12.919 12.189 11.530 10.934 10.391 9.8969 9.0302 8.2972 7.6705 7.1296 6.6585 6.2450 5.8792 5.5536 5.2619 12.948 12.212 11.549 10.948 10.403 9.9063 9.0362 8.3010 7.6730 7.1312 6.6596 6.2457 5.8797 5.5539 5.2621 12.975 12.233 11.566 10.962 10.414 9.9148 9.0417 8.3045 7.6752 7.1327 6.6605 6.2463 5.8801 5.5541 5.2623 13.000 12.253 11.581 10.974 10.423 9.9226 9.0465 8.3076 7.6772 7.1339 6.6613 6.2468 5.8804 5.5544 5.2624 13.023 12.272 11.596 10.985 10.432 9.9296 9.0509 8.3103 7.6789 7.1350 6.6620 6.2472 5.8807 5.5545 5.2625 13.045 12.288 11.609 10.996 10.441 9.9360 9.0549 8.3128 7.6805 7.1360 6.6626 6.2476 5.8809 5.5547 5.2626 13.065 12.304 11.621 11.005 10.448 9.9418 9.0585 8.3150 7.6818 7.1368 6.6631 6.2479 5.8811 5.5548 5.2627 13.084 12.319 11.632 11.014 10.455 9.9471 9.0617 8.3170 7.6830 7.1376 6.6636 6.2482 5.8813 5.5549 5.2628 13.101 12.332 11.643 11.022 10.461 9.9519 9.0646 8.3187 7.6841 7.1382 6.6640 6.2485 5.8815 5.5550 5.2628 13.117 12.344 11.652 11.029 10.467 9.9563 9.0672 8.3203 7.6851 7.1388 6.6644 6.2487 5.8816 5.5551 5.2629 13.132 12.356 11.661 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Trang 7 / 14
Trang 8Bảng 2: Giá trị hiện tại của niên kim cho luồng tiền liên tục $1 trong n kỳ hạn là 1/r - 1/(1+r )
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0.8333 0.8264 0.8197 0.8130 0.8065 0.8000 0.7937 0.7874 0.7813 0.7752 0.7692 0.7407 0.7143 0.6667 1.5278 1.5095 1.4915 1.4740 1.4568 1.4400 1.4235 1.4074 1.3916 1.3761 1.3609 1.2894 1.2245 1.1111 2.1065 2.0739 2.0422 2.0114 1.9813 1.9520 1.9234 1.8956 1.8684 1.8420 1.8161 1.6959 1.5889 1.4074 2.5887 2.5404 2.4936 2.4483 2.4043 2.3616 2.3202 2.2800 2.2410 2.2031 2.1662 1.9969 1.8492 1.6049 2.9906 2.9260 2.8636 2.8035 2.7454 2.6893 2.6351 2.5827 2.5320 2.4830 2.4356 2.2200 2.0352 1.7366 3.3255 3.2446 3.1669 3.0923 3.0205 2.9514 2.8850 2.8210 2.7594 2.7000 2.6427 2.3852 2.1680 1.8244 3.6046 3.5079 3.4155 3.3270 3.2423 3.1611 3.0833 3.0087 2.9370 2.8682 2.8021 2.5075 2.2628 1.8829 3.8372 3.7256 3.6193 3.5179 3.4212 3.3289 3.2407 3.1564 3.0758 2.9986 2.9247 2.5982 2.3306 1.9220 4.0310 3.9054 3.7863 3.6731 3.5655 3.4631 3.3657 3.2728 3.1842 3.0997 3.0190 2.6653 2.3790 1.9480 4.1925 4.0541 3.9232 3.7993 3.6819 3.5705 3.4648 3.3644 3.2689 3.1781 3.0915 2.7150 2.4136 1.9653 4.3271 4.1769 4.0354 3.9018 3.7757 3.6564 3.5435 3.4365 3.3351 3.2388 3.1473 2.7519 2.4383 1.9769 4.4392 4.2784 4.1274 3.9852 3.8514 3.7251 3.6059 3.4933 3.3868 3.2859 3.1903 2.7792 2.4559 1.9846 4.5327 4.3624 4.2028 4.0530 3.9124 3.7801 3.6555 3.5381 3.4272 3.3224 3.2233 2.7994 2.4685 1.9897 4.6106 4.4317 4.2646 4.1082 3.9616 3.8241 3.6949 3.5733 3.4587 3.3507 3.2487 2.8144 2.4775 1.9931 4.6755 4.4890 4.3152 4.1530 4.0013 3.8593 3.7261 3.6010 3.4834 3.3726 3.2682 2.8255 2.4839 1.9954 4.7296 4.5364 4.3567 4.1894 4.0333 3.8874 3.7509 3.6228 3.5026 3.3896 3.2832 2.8337 2.4885 1.9970 4.7746 4.5755 4.3908 4.2190 4.0591 3.9099 3.7705 3.6400 3.5177 3.4028 3.2948 2.8398 2.4918 1.9980 4.8122 4.6079 4.4187 4.2431 4.0799 3.9279 3.7861 3.6536 3.5294 3.4130 3.3037 2.8443 2.4941 1.9986 4.8435 4.6346 4.4415 4.2627 4.0967 3.9424 3.7985 3.6642 3.5386 3.4210 3.3105 2.8476 2.4958 1.9991 4.8696 4.6567 4.4603 4.2786 4.1103 3.9539 3.8083 3.6726 3.5458 3.4271 3.3158 2.8501 2.4970 1.9994 4.8913 4.6750 4.4756 4.2916 4.1212 3.9631 3.8161 3.6792 3.5514 3.4319 3.3198 2.8519 2.4979 1.9996 4.9094 4.6900 4.4882 4.3021 4.1300 3.9705 3.8223 3.6844 3.5558 3.4356 3.3230 2.8533 2.4985 1.9997 4.9245 4.7025 4.4985 4.3106 4.1371 3.9764 3.8273 3.6885 3.5592 3.4384 3.3254 2.8543 2.4989 1.9998 4.9371 4.7128 4.5070 4.3176 4.1428 3.9811 3.8312 3.6918 3.5619 3.4406 3.3272 2.8550 2.4992 1.9999 4.9476 4.7213 4.5139 4.3232 4.1474 3.9849 3.8342 3.6943 3.5640 3.4423 3.3286 2.8556 2.4994 1.9999 4.9563 4.7284 4.5196 4.3278 4.1511 3.9879 3.8367 3.6963 3.5656 3.4437 3.3297 2.8560 2.4996 1.9999 4.9636 4.7342 4.5243 4.3316 4.1542 3.9903 3.8387 3.6979 3.5669 3.4447 3.3305 2.8563 2.4997 2.0000 4.9697 4.7390 4.5281 4.3346 4.1566 3.9923 3.8402 3.6991 3.5679 3.4455 3.3312 2.8565 2.4998 2.0000 4.9747 4.7430 4.5312 4.3371 4.1585 3.9938 3.8414 3.7001 3.5687 3.4461 3.3317 2.8567 2.4999 2.0000 4.9789 4.7463 4.5338 4.3391 4.1601 3.9950 3.8424 3.7009 3.5693 3.4466 3.3321 2.8568 2.4999 2.0000 4.9824 4.7490 4.5359 4.3407 4.1614 3.9960 3.8432 3.7015 3.5697 3.4470 3.3324 2.8569 2.4999 2.0000 4.9854 4.7512 4.5376 4.3421 4.1624 3.9968 3.8438 3.7019 3.5701 3.4473 3.3326 2.8569 2.4999 2.0000 4.9878 4.7531 4.5390 4.3431 4.1632 3.9975 3.8443 3.7023 3.5704 3.4475 3.3328 2.8570 2.5000 2.0000 4.9898 4.7546 4.5402 4.3440 4.1639 3.9980 3.8447 3.7026 3.5706 3.4477 3.3329 2.8570 2.5000 2.0000 4.9915 4.7559 4.5411 4.3447 4.1644 3.9984 3.8450 3.7028 3.5708 3.4478 3.3330 2.8571 2.5000 2.0000 4.9929 4.7569 4.5419 4.3453 4.1649 3.9987 3.8452 3.7030 3.5709 3.4479 3.3331 2.8571 2.5000 2.0000 4.9941 4.7578 4.5426 4.3458 4.1652 3.9990 3.8454 3.7032 3.5710 3.4480 3.3331 2.8571 2.5000 2.0000 4.9951 4.7585 4.5431 4.3462 4.1655 3.9992 3.8456 3.7033 3.5711 3.4481 3.3332 2.8571 2.5000 2.0000 4.9959 4.7591 4.5435 4.3465 4.1657 3.9993 3.8457 3.7034 3.5712 3.4481 3.3332 2.8571 2.5000 2.0000 4.9966 4.7596 4.5439 4.3467 4.1659 3.9995 3.8458 3.7034 3.5712 3.4481 3.3332 2.8571 2.5000 2.0000 4.9972 4.7600 4.5441 4.3469 4.1661 3.9996 3.8459 3.7035 3.5713 3.4482 3.3333 2.8571 2.5000 2.0000 4.9976 4.7603 4.5444 4.3471 4.1662 3.9997 3.8459 3.7035 3.5713 3.4482 3.3333 2.8571 2.5000 2.0000 4.9980 4.7606 4.5446 4.3472 4.1663 3.9997 3.8460 3.7036 3.5713 3.4482 3.3333 2.8571 2.5000 2.0000 4.9984 4.7608 4.5447 4.3473 4.1663 3.9998 3.8460 3.7036 3.5714 3.4482 3.3333 2.8571 2.5000 2.0000 4.9986 4.7610 4.5449 4.3474 4.1664 3.9998 3.8460 3.7036 3.5714 3.4482 3.3333 2.8571 2.5000 2.0000 4.9989 4.7612 4.5450 4.3475 4.1665 3.9999 3.8461 3.7036 3.5714 3.4482 3.3333 2.8571 2.5000 2.0000 4.9991 4.7613 4.5451 4.3476 4.1665 3.9999 3.8461 3.7037 3.5714 3.4483 3.3333 2.8571 2.5000 2.0000 4.9992 4.7614 4.5451 4.3476 4.1665 3.9999 3.8461 3.7037 3.5714 3.4483 3.3333 2.8571 2.5000 2.0000 4.9993 4.7615 4.5452 4.3477 4.1666 3.9999 3.8461 3.7037 3.5714 3.4483 3.3333 2.8571 2.5000 2.0000 4.9995 4.7616 4.5452 4.3477 4.1666 3.9999 3.8461 3.7037 3.5714 3.4483 3.3333 2.8571 2.5000 2.0000 4.9995 4.7616 4.5453 4.3477 4.1666 4.0000 3.8461 3.7037 3.5714 3.4483 3.3333 2.8571 2.5000 2.0000 4.9996 4.7617 4.5453 4.3477 4.1666 4.0000 3.8461 3.7037 3.5714 3.4483 3.3333 2.8571 2.5000 2.0000 4.9997 4.7617 4.5453 4.3478 4.1666 4.0000 3.8461 3.7037 3.5714 3.4483 3.3333 2.8571 2.5000 2.0000 4.9997 4.7617 4.5454 4.3478 4.1666 4.0000 3.8461 3.7037 3.5714 3.4483 3.3333 2.8571 2.5000 2.0000 4.9998 4.7618 4.5454 4.3478 4.1666 4.0000 3.8461 3.7037 3.5714 3.4483 3.3333 2.8571 2.5000 2.0000 4.9998 4.7618 4.5454 4.3478 4.1666 4.0000 3.8461 3.7037 3.5714 3.4483 3.3333 2.8571 2.5000 2.0000 4.9998 4.7618 4.5454 4.3478 4.1666 4.0000 3.8461 3.7037 3.5714 3.4483 3.3333 2.8571 2.5000 2.0000 4.9999 4.7618 4.5454 4.3478 4.1667 4.0000 3.8461 3.7037 3.5714 3.4483 3.3333 2.8571 2.5000 2.0000 4.9999 4.7618 4.5454 4.3478 4.1667 4.0000 3.8461 3.7037 3.5714 3.4483 3.3333 2.8571 2.5000 2.0000 4.9999 4.7619 4.5454 4.3478 4.1667 4.0000 3.8462 3.7037 3.5714 3.4483 3.3333 2.8571 2.5000 2.0000
Trang 8 / 14
Trang 9Giá trị tương lai của $1 đầu tư n kỳ hạn với lãi suất r là (1+r ) n
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1.0010 1.0020 1.0030 1.0040 1.0050 1.0060 1.0070 1.0080 1.0090 1.0100 1.0110 1.0120 1.0130 1.0140 1.0150 1.0020 1.0040 1.0060 1.0080 1.0100 1.0120 1.0140 1.0161 1.0181 1.0201 1.0221 1.0241 1.0262 1.0282 1.0302 1.0030 1.0060 1.0090 1.0120 1.0151 1.0181 1.0211 1.0242 1.0272 1.0303 1.0334 1.0364 1.0395 1.0426 1.0457 1.0040 1.0080 1.0121 1.0161 1.0202 1.0242 1.0283 1.0324 1.0365 1.0406 1.0447 1.0489 1.0530 1.0572 1.0614
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1.0060 1.0121 1.0181 1.0242 1.0304 1.0365 1.0427 1.0490 1.0552 1.0615 1.0678 1.0742 1.0806 1.0870 1.0934 1.0070 1.0141 1.0212 1.0283 1.0355 1.0428 1.0500 1.0574 1.0647 1.0721 1.0796 1.0871 1.0946 1.1022 1.1098 1.0080 1.0161 1.0243 1.0325 1.0407 1.0490 1.0574 1.0658 1.0743 1.0829 1.0915 1.1001 1.1089 1.1176 1.1265 1.0090 1.0181 1.0273 1.0366 1.0459 1.0553 1.0648 1.0743 1.0840 1.0937 1.1035 1.1133 1.1233 1.1333 1.1434
10 1.0100 1.0202 1.0304 1.0407 1.0511 1.0616 1.0722 1.0829 1.0937 1.1046 1.1156 1.1267 1.1379 1.1492 1.1605 11
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1.0111 1.0222 1.0335 1.0449 1.0564 1.0680 1.0798 1.0916 1.1036 1.1157 1.1279 1.1402 1.1527 1.1652 1.1779 1.0121 1.0243 1.0366 1.0491 1.0617 1.0744 1.0873 1.1003 1.1135 1.1268 1.1403 1.1539 1.1677 1.1816 1.1956 1.0131 1.0263 1.0397 1.0533 1.0670 1.0809 1.0949 1.1091 1.1235 1.1381 1.1528 1.1677 1.1828 1.1981 1.2136 1.0141 1.0284 1.0428 1.0575 1.0723 1.0874 1.1026 1.1180 1.1336 1.1495 1.1655 1.1818 1.1982 1.2149 1.2318
15 1.0151 1.0304 1.0460 1.0617 1.0777 1.0939 1.1103 1.1270 1.1438 1.1610 1.1783 1.1959 1.2138 1.2319 1.2502 16
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20 1.0202 1.0408 1.0617 1.0831 1.1049 1.1271 1.1497 1.1728 1.1963 1.2202 1.2446 1.2694 1.2948 1.3206 1.3469 21
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1.0212 1.0429 1.0649 1.0874 1.1104 1.1339 1.1578 1.1821 1.2070 1.2324 1.2583 1.2847 1.3116 1.3391 1.3671 1.0222 1.0449 1.0681 1.0918 1.1160 1.1407 1.1659 1.1916 1.2179 1.2447 1.2721 1.3001 1.3286 1.3578 1.3876 1.0233 1.0470 1.0713 1.0962 1.1216 1.1475 1.1740 1.2011 1.2288 1.2572 1.2861 1.3157 1.3459 1.3768 1.4084 1.0243 1.0491 1.0745 1.1005 1.1272 1.1544 1.1822 1.2107 1.2399 1.2697 1.3003 1.3315 1.3634 1.3961 1.4295
25 1.0253 1.0512 1.0778 1.1050 1.1328 1.1613 1.1905 1.2204 1.2511 1.2824 1.3146 1.3475 1.3811 1.4156 1.4509 26
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1.0263 1.0533 1.0810 1.1094 1.1385 1.1683 1.1989 1.2302 1.2623 1.2953 1.3290 1.3636 1.3991 1.4354 1.4727 1.0274 1.0554 1.0842 1.1138 1.1442 1.1753 1.2072 1.2400 1.2737 1.3082 1.3436 1.3800 1.4173 1.4555 1.4948 1.0284 1.0575 1.0875 1.1183 1.1499 1.1823 1.2157 1.2500 1.2851 1.3213 1.3584 1.3965 1.4357 1.4759 1.5172 1.0294 1.0597 1.0908 1.1227 1.1556 1.1894 1.2242 1.2600 1.2967 1.3345 1.3734 1.4133 1.4544 1.4966 1.5400
30 1.0304 1.0618 1.0940 1.1272 1.1614 1.1966 1.2328 1.2700 1.3084 1.3478 1.3885 1.4303 1.4733 1.5175 1.5631 31
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1.0315 1.0639 1.0973 1.1317 1.1672 1.2038 1.2414 1.2802 1.3202 1.3613 1.4037 1.4474 1.4924 1.5388 1.5865 1.0325 1.0660 1.1006 1.1363 1.1730 1.2110 1.2501 1.2904 1.3320 1.3749 1.4192 1.4648 1.5118 1.5603 1.6103 1.0335 1.0682 1.1039 1.1408 1.1789 1.2182 1.2588 1.3008 1.3440 1.3887 1.4348 1.4824 1.5315 1.5822 1.6345 1.0346 1.0703 1.1072 1.1454 1.1848 1.2256 1.2677 1.3112 1.3561 1.4026 1.4506 1.5002 1.5514 1.6043 1.6590
35 1.0356 1.0724 1.1105 1.1500 1.1907 1.2329 1.2765 1.3217 1.3683 1.4166 1.4665 1.5182 1.5716 1.6268 1.6839 36
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1.0366 1.0746 1.1139 1.1546 1.1967 1.2403 1.2855 1.3322 1.3806 1.4308 1.4827 1.5364 1.5920 1.6496 1.7091 1.0377 1.0767 1.1172 1.1592 1.2027 1.2477 1.2945 1.3429 1.3931 1.4451 1.4990 1.5548 1.6127 1.6726 1.7348 1.0387 1.0789 1.1206 1.1638 1.2087 1.2552 1.3035 1.3536 1.4056 1.4595 1.5155 1.5735 1.6336 1.6961 1.7608 1.0398 1.0810 1.1239 1.1685 1.2147 1.2628 1.3127 1.3645 1.4183 1.4741 1.5321 1.5924 1.6549 1.7198 1.7872
40 1.0408 1.0832 1.1273 1.1731 1.2208 1.2703 1.3218 1.3754 1.4310 1.4889 1.5490 1.6115 1.6764 1.7439 1.8140 41
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1.0418 1.0854 1.1307 1.1778 1.2269 1.2780 1.3311 1.3864 1.4439 1.5038 1.5660 1.6308 1.6982 1.7683 1.8412 1.0429 1.0875 1.1341 1.1825 1.2330 1.2856 1.3404 1.3975 1.4569 1.5188 1.5832 1.6504 1.7203 1.7931 1.8688 1.0439 1.0897 1.1375 1.1873 1.2392 1.2933 1.3498 1.4086 1.4700 1.5340 1.6007 1.6702 1.7426 1.8182 1.8969 1.0450 1.0919 1.1409 1.1920 1.2454 1.3011 1.3592 1.4199 1.4832 1.5493 1.6183 1.6902 1.7653 1.8436 1.9253
45 1.0460 1.0941 1.1443 1.1968 1.2516 1.3089 1.3688 1.4313 1.4966 1.5648 1.6361 1.7105 1.7882 1.8694 1.9542 46
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1.0471 1.0963 1.1477 1.2016 1.2579 1.3168 1.3783 1.4427 1.5101 1.5805 1.6541 1.7310 1.8115 1.8956 1.9835 1.0481 1.0985 1.1512 1.2064 1.2642 1.3247 1.3880 1.4543 1.5236 1.5963 1.6723 1.7518 1.8350 1.9221 2.0133 1.0491 1.1007 1.1546 1.2112 1.2705 1.3326 1.3977 1.4659 1.5374 1.6122 1.6907 1.7728 1.8589 1.9490 2.0435 1.0502 1.1029 1.1581 1.2161 1.2768 1.3406 1.4075 1.4776 1.5512 1.6283 1.7093 1.7941 1.8831 1.9763 2.0741
50 1.0512 1.1051 1.1616 1.2209 1.2832 1.3486 1.4173 1.4895 1.5652 1.6446 1.7281 1.8156 1.9075 2.0040 2.1052 51
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1.0523 1.1073 1.1651 1.2258 1.2896 1.3567 1.4273 1.5014 1.5792 1.6611 1.7471 1.8374 1.9323 2.0321 2.1368 1.0533 1.1095 1.1686 1.2307 1.2961 1.3649 1.4373 1.5134 1.5935 1.6777 1.7663 1.8595 1.9575 2.0605 2.1689 1.0544 1.1117 1.1721 1.2356 1.3026 1.3731 1.4473 1.5255 1.6078 1.6945 1.7857 1.8818 1.9829 2.0894 2.2014 1.0555 1.1139 1.1756 1.2406 1.3091 1.3813 1.4574 1.5377 1.6223 1.7114 1.8054 1.9044 2.0087 2.1186 2.2344
55 1.0565 1.1162 1.1791 1.2455 1.3156 1.3896 1.4676 1.5500 1.6369 1.7285 1.8252 1.9272 2.0348 2.1483 2.2679 56
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1.0576 1.1184 1.1826 1.2505 1.3222 1.3979 1.4779 1.5624 1.6516 1.7458 1.8453 1.9503 2.0612 2.1783 2.3020 1.0586 1.1206 1.1862 1.2555 1.3288 1.4063 1.4883 1.5749 1.6665 1.7633 1.8656 1.9737 2.0880 2.2088 2.3365 1.0597 1.1229 1.1897 1.2605 1.3355 1.4148 1.4987 1.5875 1.6815 1.7809 1.8861 1.9974 2.1152 2.2398 2.3715 1.0607 1.1251 1.1933 1.2656 1.3421 1.4232 1.5092 1.6002 1.6966 1.7987 1.9069 2.0214 2.1427 2.2711 2.4071
60 1.0618 1.1274 1.1969 1.2706 1.3489 1.4318 1.5197 1.6130 1.7119 1.8167 1.9278 2.0456 2.1705 2.3029 2.4432
Trang 9 / 14
Trang 10Giá trị tương lai của $1 đầu tư n kỳ hạn với lãi suất r là (1+r ) n
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1.0160 1.0170 1.0180 1.0190 1.0200 1.0250 1.0300 1.0350 1.0400 1.0450 1.0500 1.0550 1.0600 1.0650 1.0700 1.0323 1.0343 1.0363 1.0384 1.0404 1.0506 1.0609 1.0712 1.0816 1.0920 1.1025 1.1130 1.1236 1.1342 1.1449 1.0488 1.0519 1.0550 1.0581 1.0612 1.0769 1.0927 1.1087 1.1249 1.1412 1.1576 1.1742 1.1910 1.2079 1.2250 1.0656 1.0698 1.0740 1.0782 1.0824 1.1038 1.1255 1.1475 1.1699 1.1925 1.2155 1.2388 1.2625 1.2865 1.3108 1.0826 1.0879 1.0933 1.0987 1.1041 1.1314 1.1593 1.1877 1.2167 1.2462 1.2763 1.3070 1.3382 1.3701 1.4026 1.0999 1.1064 1.1130 1.1196 1.1262 1.1597 1.1941 1.2293 1.2653 1.3023 1.3401 1.3788 1.4185 1.4591 1.5007 1.1175 1.1252 1.1330 1.1408 1.1487 1.1887 1.2299 1.2723 1.3159 1.3609 1.4071 1.4547 1.5036 1.5540 1.6058 1.1354 1.1444 1.1534 1.1625 1.1717 1.2184 1.2668 1.3168 1.3686 1.4221 1.4775 1.5347 1.5938 1.6550 1.7182 1.1536 1.1638 1.1742 1.1846 1.1951 1.2489 1.3048 1.3629 1.4233 1.4861 1.5513 1.6191 1.6895 1.7626 1.8385 1.1720 1.1836 1.1953 1.2071 1.2190 1.2801 1.3439 1.4106 1.4802 1.5530 1.6289 1.7081 1.7908 1.8771 1.9672 1.1908 1.2037 1.2168 1.2300 1.2434 1.3121 1.3842 1.4600 1.5395 1.6229 1.7103 1.8021 1.8983 1.9992 2.1049 1.2098 1.2242 1.2387 1.2534 1.2682 1.3449 1.4258 1.5111 1.6010 1.6959 1.7959 1.9012 2.0122 2.1291 2.2522 1.2292 1.2450 1.2610 1.2772 1.2936 1.3785 1.4685 1.5640 1.6651 1.7722 1.8856 2.0058 2.1329 2.2675 2.4098 1.2489 1.2662 1.2837 1.3015 1.3195 1.4130 1.5126 1.6187 1.7317 1.8519 1.9799 2.1161 2.2609 2.4149 2.5785 1.2688 1.2877 1.3068 1.3262 1.3459 1.4483 1.5580 1.6753 1.8009 1.9353 2.0789 2.2325 2.3966 2.5718 2.7590 1.2891 1.3096 1.3303 1.3514 1.3728 1.4845 1.6047 1.7340 1.8730 2.0224 2.1829 2.3553 2.5404 2.7390 2.9522 1.3098 1.3319 1.3543 1.3771 1.4002 1.5216 1.6528 1.7947 1.9479 2.1134 2.2920 2.4848 2.6928 2.9170 3.1588 1.3307 1.3545 1.3787 1.4033 1.4282 1.5597 1.7024 1.8575 2.0258 2.2085 2.4066 2.6215 2.8543 3.1067 3.3799 1.3520 1.3775 1.4035 1.4299 1.4568 1.5987 1.7535 1.9225 2.1068 2.3079 2.5270 2.7656 3.0256 3.3086 3.6165 1.3736 1.4009 1.4287 1.4571 1.4859 1.6386 1.8061 1.9898 2.1911 2.4117 2.6533 2.9178 3.2071 3.5236 3.8697 1.3956 1.4248 1.4545 1.4848 1.5157 1.6796 1.8603 2.0594 2.2788 2.5202 2.7860 3.0782 3.3996 3.7527 4.1406 1.4180 1.4490 1.4806 1.5130 1.5460 1.7216 1.9161 2.1315 2.3699 2.6337 2.9253 3.2475 3.6035 3.9966 4.4304 1.4406 1.4736 1.5073 1.5417 1.5769 1.7646 1.9736 2.2061 2.4647 2.7522 3.0715 3.4262 3.8197 4.2564 4.7405 1.4637 1.4987 1.5344 1.5710 1.6084 1.8087 2.0328 2.2833 2.5633 2.8760 3.2251 3.6146 4.0489 4.5331 5.0724 1.4871 1.5241 1.5620 1.6009 1.6406 1.8539 2.0938 2.3632 2.6658 3.0054 3.3864 3.8134 4.2919 4.8277 5.4274 1.5109 1.5500 1.5902 1.6313 1.6734 1.9003 2.1566 2.4460 2.7725 3.1407 3.5557 4.0231 4.5494 5.1415 5.8074 1.5351 1.5764 1.6188 1.6623 1.7069 1.9478 2.2213 2.5316 2.8834 3.2820 3.7335 4.2444 4.8223 5.4757 6.2139 1.5596 1.6032 1.6479 1.6939 1.7410 1.9965 2.2879 2.6202 2.9987 3.4297 3.9201 4.4778 5.1117 5.8316 6.6488 1.5846 1.6305 1.6776 1.7260 1.7758 2.0464 2.3566 2.7119 3.1187 3.5840 4.1161 4.7241 5.4184 6.2107 7.1143 1.6099 1.6582 1.7078 1.7588 1.8114 2.0976 2.4273 2.8068 3.2434 3.7453 4.3219 4.9840 5.7435 6.6144 7.6123 1.6357 1.6864 1.7385 1.7923 1.8476 2.1500 2.5001 2.9050 3.3731 3.9139 4.5380 5.2581 6.0881 7.0443 8.1451 1.6619 1.7150 1.7698 1.8263 1.8845 2.2038 2.5751 3.0067 3.5081 4.0900 4.7649 5.5473 6.4534 7.5022 8.7153 1.6885 1.7442 1.8017 1.8610 1.9222 2.2589 2.6523 3.1119 3.6484 4.2740 5.0032 5.8524 6.8406 7.9898 9.3253 1.7155 1.7738 1.8341 1.8964 1.9607 2.3153 2.7319 3.2209 3.7943 4.4664 5.2533 6.1742 7.2510 8.5092 9.9781 1.7429 1.8040 1.8671 1.9324 1.9999 2.3732 2.8139 3.3336 3.9461 4.6673 5.5160 6.5138 7.6861 9.0623 10.677 1.7708 1.8347 1.9007 1.9691 2.0399 2.4325 2.8983 3.4503 4.1039 4.8774 5.7918 6.8721 8.1473 9.6513 11.424 1.7991 1.8658 1.9349 2.0065 2.0807 2.4933 2.9852 3.5710 4.2681 5.0969 6.0814 7.2501 8.6361 10.279 12.224 1.8279 1.8976 1.9698 2.0447 2.1223 2.5557 3.0748 3.6960 4.4388 5.3262 6.3855 7.6488 9.1543 10.947 13.079 1.8572 1.9298 2.0052 2.0835 2.1647 2.6196 3.1670 3.8254 4.6164 5.5659 6.7048 8.0695 9.7035 11.658 13.995 1.8869 1.9626 2.0413 2.1231 2.2080 2.6851 3.2620 3.9593 4.8010 5.8164 7.0400 8.5133 10.286 12.416 14.974 1.9171 1.9960 2.0781 2.1634 2.2522 2.7522 3.3599 4.0978 4.9931 6.0781 7.3920 8.9815 10.903 13.223 16.023 1.9478 2.0299 2.1155 2.2045 2.2972 2.8210 3.4607 4.2413 5.1928 6.3516 7.7616 9.4755 11.557 14.083 17.144 1.9789 2.0644 2.1535 2.2464 2.3432 2.8915 3.5645 4.3897 5.4005 6.6374 8.1497 9.9967 12.250 14.998 18.344 2.0106 2.0995 2.1923 2.2891 2.3901 2.9638 3.6715 4.5433 5.6165 6.9361 8.5572 10.546 12.985 15.973 19.628 2.0428 2.1352 2.2318 2.3326 2.4379 3.0379 3.7816 4.7024 5.8412 7.2482 8.9850 11.127 13.765 17.011 21.002 2.0754 2.1715 2.2719 2.3769 2.4866 3.1139 3.8950 4.8669 6.0748 7.5744 9.4343 11.739 14.590 18.117 22.473 2.1086 2.2084 2.3128 2.4221 2.5363 3.1917 4.0119 5.0373 6.3178 7.9153 9.9060 12.384 15.466 19.294 24.046 2.1424 2.2460 2.3545 2.4681 2.5871 3.2715 4.1323 5.2136 6.5705 8.2715 10.401 13.065 16.394 20.549 25.729 2.1767 2.2842 2.3969 2.5150 2.6388 3.3533 4.2562 5.3961 6.8333 8.6437 10.921 13.784 17.378 21.884 27.530 2.2115 2.3230 2.4400 2.5628 2.6916 3.4371 4.3839 5.5849 7.1067 9.0326 11.467 14.542 18.420 23.307 29.457 2.2469 2.3625 2.4839 2.6115 2.7454 3.5230 4.5154 5.7804 7.3910 9.4391 12.041 15.342 19.525 24.822 31.519 2.2828 2.4026 2.5286 2.6611 2.8003 3.6111 4.6509 5.9827 7.6866 9.8639 12.643 16.186 20.697 26.435 33.725 2.3194 2.4435 2.5741 2.7116 2.8563 3.7014 4.7904 6.1921 7.9941 10.308 13.275 17.076 21.939 28.153 36.086 2.3565 2.4850 2.6205 2.7632 2.9135 3.7939 4.9341 6.4088 8.3138 10.772 13.939 18.015 23.255 29.983 38.612 2.3942 2.5273 2.6676 2.8157 2.9717 3.8888 5.0821 6.6331 8.6464 11.256 14.636 19.006 24.650 31.932 41.315 2.4325 2.5702 2.7157 2.8692 3.0312 3.9860 5.2346 6.8653 8.9922 11.763 15.367 20.051 26.129 34.008 44.207 2.4714 2.6139 2.7645 2.9237 3.0918 4.0856 5.3917 7.1056 9.3519 12.292 16.136 21.154 27.697 36.218 47.302 2.5109 2.6584 2.8143 2.9792 3.1536 4.1878 5.5534 7.3543 9.7260 12.845 16.943 22.317 29.359 38.572 50.613 2.5511 2.7036 2.8650 3.0358 3.2167 4.2925 5.7200 7.6117 10.115 13.423 17.790 23.545 31.120 41.080 54.156 2.5919 2.7495 2.9165 3.0935 3.2810 4.3998 5.8916 7.8781 10.520 14.027 18.679 24.840 32.988 43.750 57.946
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