Present value interest factor of an (ordinary) annuity of $1 per period at i% for n periods, PVIFA(i,n). 1.0% 3.5% 0.9662 1.8997 2.8016 5.0% 5.5% 0.9524 0.9479 0.5% 2.0% 2.5% 0.9756 1.9274 Period 1.5% 3.0% 6.5% 8.0% 9.0% 4.5% 0.9615 0.9569 1.8861 4.0% 6.0% 7.0% 7.5% 8.5% 9.5% 10.0% 0.9132 0.9091 1.7473 1.7355 2.5089 2.4869 3.2045 3.1699 0.9950 0.9901 0.9852 0.9804 0.9709 0.9434 0.9390 0.9346 0.9302 0.9259 0.9217 0.9174 1.9851 1.9704 1.9559 1.9416 1.9135 1.8727 1.8594 1.8463 1.8334 1.8206 1.8080 1.7956 1.7833 1.7711 1.7591 3 2.9702 2.9410 2.9122 2.8839 2.8560 2.8286 2.7751 2.7490 2.7232 2.6979 2.6730 2.6485 2.6243 2.6005 2.5771 2.5540 2.5313 4 3.9505 3.9020 3.8544 3.8077 3.7620 3.6731 3.6299 3.5875 3.5460 3.5052 3.4651 3.4258 3.3872 3.3493 3.3121 3.2756 3.2397 3.7171 4.5797 4.9259 4.8534 18534 4.7826 47135 4.6458 4.5151 4.4518 4.3900 4.3295 4.2703 4.2124 4.1557 4.1002 40459 3.9927 3.9406 3.8897 3.8397 |3.7908 4.4198 4.3553 4.9496 4.8684 5.4334 5.3349 5.8753 5.7590 6.2788 6.1446 *.0490 5.5081 5.4172 6 2303 49173 E 6824 3.3824 6.2098 6 8017 5.8964 5.6972 6.5982 5.7955 5.6014 5.3286 5.2421 5.1579 5.0757 4.9955 4.8410 4.7665 4.6938 4.6229 4.5536 4.4859 6.8621 6.7282 6.4720 5 7864 5.3893 5.2064 こ2004 5.7466 6.3494 0.3494 0.2303 6.1145 6.0021 5.8927 5.7864 5.6830 5.4845 5.2966 5.1185 5.0330 6 4632 5.5348 5 9952 8. 7.8230 7.6517 7.4859 7.3255 7.1701 7.0197 6.8740 6.7327 6.5959 0.4632 6.3346 6.0888 5.9713 5.8573 5.6392 8.7791 8 7791 8.5660 8.3605 8.1622 7.9709 7.7861 7.6077 7.4353 7.2688 7.1078 6 9522 6.8017 6.6561 6.5152 6.3789 6.2469 5.9952 6.9522 0.5000 9.4713 0.1191 6 8641 8 7521 0.7521 9.5142 9.7304 9.2222 8.3166 7 0236 6.7101 6.5613 10 zzzz'6 .9020 8.9826 8.7521 8.5302 8.1109 7.9127 7.7217 7.5376 7.1888 7.0236 6.8641 6.4177 7.3601 3.7304 10.6770 10.3676 10.0711 0.5013 6.9690 6.2788 |6.1440 6.6473 6.4951 6 9838 11 9.7868 9.2526 9.0016 8.7605 8.5289 8.3064 8.0925 7.8869 7.6890 7.4987 7.3154 7.1390 6.8052 6.9838 6.8137 7.2912 7.1034 9.6633 8.8633 8.3838 7.9427 7.7353 8 1250 12 11.6189 | 11.2551 | 10.9075 10.5753 10.2578 9.9540 9.3851 9.1186 9 6829 8.6185 0. 1587 8.5997 8.1587 7.5361 7.3447 1. 1007 7.4869 7.1607 12.5562 12.1337 11.7315 11.3484 10.9832 10.6350 10.3027 8.8527 9 2950 13 9.9856 9.6829 9.3936 9.1171 8.3577 8.1258 7.9038 7.6910 11.7315 |11.3484 |10.9832 | 10.6350 |10.3027 12.5434 | 12. 1002 13.4887 13.0037 12.5434 12.1062 11.6909 11.2961 10.9205 10.5631 8 7455 14 10.2228 9.8986 9.5896 9.2950 90138 8.7455 8.4892 8.2442 8.0101 1.7862 7.5/19 |7.3667 8.0607 ০.0০07 8.3126 0.3120 8.5436 0.5430 8.7556 0.7550 8.9501 11.6909 |11.2961 |10.9205 10.5631 |10.2228 12.3814 |11.9379 |11.5174 | 11.1184 | 10.7395 10.3797 |10.0376 13.4007| 13.0037 15 14.4166 13.8651 13.3432 12.8493 12.3814 11.9379 11.5174 11.1184 10.7395 10.3797 10.0376 9.7122 8.5595 7.8282 7.6061 9.4027 9.4027 9 7678 9.1079 8.8271 8.3042 .8282 |7.6061 8.0623 7.8237 8.2760 8.0216 14.4166 | 13.8651 | 13.3432 | 12.8493 0.3042 8.5753 0.5753 88252 16 15.3399 14.7179 | 14.1313 13.5777 |13.0550 | 12.5611 | 12.0941 11.6523 |11.2340 10.8378 10.4622 | 10.1059 9.7678 9.4466 9.1415 8.8514 9 7632 9.4340 9 7060 17 16.2586 | 15.5623 | 14.9076 | 14.2919 | 13.7122 | 13.1661 | 12.6513 | 12.1657 |11.7072 |11.2741 | 10.8646 | 10.4773 | 10.1106 9.7632 9.1216 0.2760 8.0216 0.47 13 8.2014 8.6496 |8.3649 8.8124 |8.5136 8.9611 8.6487 9.0969 8.7715 18 9.7060 9.3719 9.0555 17.1728 16.3983 15.6726 | 14.9920 14.3534 13.7535 | 13.1897 | 12.6593 12.1600 11.6896 | 11.2461 |10.8276 | 10.4325 | 10.0591 19 18.0824 | 17.2260 | 16.4262 | 15.6785 | 14.9789 | 14.3238 | 13.7098 | 13.1339 12.5933 | 12.0853 | 11.6077 11.1581 | 10.7347 10.3356 9.9591 9.6036 9.2677 20 18.9874 | 18.0456 | 17.1686 | 16.3514 | 15.5892 14.8775 |14.2124 | 13.5903 13.0079 | 12.4622 | 11.9504 |11.4699 | 11.0185 | 10.5940 10.1945 98181 9.4633 9.1285 21 19.8880 18.8570 17.9001 17.0112 16.1845 15.4150 14.6980 14.0292 13.4047 12.8212 12.2752 11.7641 11.2850 10.8355 10.4135 10.0168 20 7841 19.6604 18.6208 17 6580 16 7654 15.9369 15 1671 14 4511 13 7844 13 1630 12 5832 12 0416 11.5352|11.0612 | 10.6172 |10.2007 15.4150 14.6980 14.0292 13.4047 12.8212 | 12.2752 |11.7641 | 11.2850 10.8355 10.4135 | 10.0168 9.6436 9.2922 22 9.8098 9.4424 9.0969 |8.7715 21.6757 20.4558 19.3309 18.2922 17.3321 16.4436 15.6204 14.8568 14.1478 13.4886 12.8750 12.3034 11.7701 11.2722 10.8067 10.3711 22.5629 21.2434 20.0304 18.9139 17.8850 16.9355 16.0584 15.2470 14.4955 13.7986 11.9907 11.4693 10.9830 10.5288 10.1041 23 16.4436 | 15.6204 14.8568 | 14.1478 13.4886 12.8750 12.3034 11.7701 | 11.2722 10.8067 10.3711 13.1517 12.5504 12.7834 9.9629 9.5802 9.2209 |8.8832 9.3341 8.9847 24 10.5288 | 10.1041 9.7066 9.8226 9.9290 9.4376 9.0770 9.5320 9.1609 9.6183 9.2372 9.6971 9.3066 9.7690 9.3696 25 17.4131 26 24.3240 22.7952 21.3986 20.1210 18.9506 17.8768 16.8904 15.9828 15.1466 14.3752 13.6625 13.0032 12.3924 11.8258 11.2995 10.8100 10.3541 25.1980 23.5596 22.0676 20.7069 19.4640 18.3270 17.2854 16.3296 15.4513 14.6430 13.8981 13.2105 12.5750 11.9867 11.4414 10.9352 10.4646 10.0266 27 28 26.0677 24.3164 22.7267 21.2813 19.9649 18.7641 17.6670 16.6631 15.7429 14.8981 14.1214 13.4062 12.7465 12.1371 11.5734 11.0511 10.5665 10.1161 26.9330 25.0658 23.3761 21.8444 20.4535 19.1885 18.0358 16.9837 16.0219 15.1411 14.3331 13.5907 12.9075 12.2777 11.6962 11.1584 10.6603 10.1983 27.7941 25.8077 24.0158 22.3965 20.9303 19.6004 18.3920 17.2920 16.2889 15.3725 14.5337 13.7648 13.0587 12.4090 11.8104 11.2578 10.7468 10.2737 28.6508 26.5423 24.6461 22.9377 21.3954 20.0004 18.7363 17.5885 16.5444 15.5928 14.7239 13.9291 13.2006 12.5318 11.9166 11.3498 10.8266 10.3428 29.5033 27.2696 25.2671 23.4683 21.8492 20.3888 19.0689 17.8736 16.7889 15.8027 14.9042 14.0840 13.3339 12.6466 12.0155 11.4350 10.9001 10.4062 29 9.8347 9.4269 0年! 209 9.8947 9.4790 30 31 9.9495 9.5264 9.9996 9.5694 32 30.3515 27.9897 25.8790 23.9886 22.2919 20.7658 19.3902 18.1476 17.0229 16.0025 15.0751 14.2302 13.4591 12.7538 12.1074 11.5139 10.9678 10.4644 31.1955 28.7027 26.4817 24.4986 22.7238 21.1318 19.7007 18.4112 17.2468 16.1929 15.2370 14.3681 13.5766 12.8540 12.1929 11.5869 11.0302 10.5178 10.0453 9.6086 33 34 35 32.0354 29.4086 27.0756 24.9986 23.1452 21.4872 20.0007 18.6646 17.4610 16.3742 15.3906 14.4982 13.6870 12.9477 12.2725 11.6546 11.0878 10.5668 10.0870 |9.6442 14.49625.070 36 32.8710 30.1075 27.6607 25.4888 23.5563 21.8323 20.2905 18.9083 17.6660 16.5469 15.5361 14.6210 13.7906 13.0352 12.3465 11.7172 11.1408 10.6118 10.1251 9.6765 こ201020.10737000 | 000 33o0 37 33.7025 30.7995 28.2371 25.9695 23.9573 22.1672 20.5705 19.1426 17.8622 16.7113 15.6740 14.7368 13.8879 13.1170 12.4154 11.7752 11.1897 10.6530 10.1599 9.7059 34.5299 31.4847 28.8051 26.4406 24.3486 22.4925 20.8411 19.3679 18.0500 16.8679 15.8047 14.8460 13.9792 13.1935 12.4794 11.8289 11.2347 10.6908 10.1917 9.7327 35.3531 32.1630 29.3646 26.9026 24.7303 22.8082 21.1025 19.5845 18.2297 17.0170 15.9287 14.9491 14.0650 13.2649 12.5390 11.8786 11.2763 10.7255 10.2207 9.7570 36.1722 32.8347 29.9158 27.3555 25.1028 23.1148 21.3551 19.7928 18.4016 17.1591 16.0461 15.0463 14.1455 13.3317 12.5944 11.9246 11.3145 10.7574 10.2472 9.7791 36.9873 33.4997 30.4590 27.7995 25.4661 23.4124 21.5991 19.9931 18.5661 17.2944 16.1575 15.1380 14.2212 13.3941 12.6460 11.9672 11.3498 10.7866 10.2715 9.7991 37.7983 34.1581 30.9941 28.2348 25.8206 23.7014 21.8349 20.1856 18.7235 17.4232 16.2630 15.2245 14.2922 13.4524 12.6939 12.0067 11.3823 10.8134 10.2936 9.8174 38.6053 34.8100 31.5212 28.6616 26.1664 23.9819 22.0627 20.3708 18.8742 17.5459 16.3630 15.3062 14.3588 13.5070 12.7385 12.0432 11.4123 10.8380 10.3138 9.8340 39.4082 35.4555 32.0406 29.0800 26.5038 24.2543 22.2828 20.5488 19.0184 17.6628 16.4579 15.3832 14.4214 13.5579 12.7800 12.0771 11.4399 10.8605 10.3322 9.8491 40.2072 36.0945 32.5523 29.4902 26.8330 24.5187 22.4955 20.7200 19.1563 17.7741 16.5477 15.4558 14.4802 13.6055 12.8186 12.1084 11.4653 10.8812 10.3490 9.8628 41.0022 36.7272 33.0565 29.8923 27.1542 24.7754 22.7009 20.8847 19.2884 17.8801 16.6329 15.5244 14.5354 13.6500 12.8545 12.1374 11.4888 10.9002 10.3644 9.8753 41.7932 37.3537 33.5532 30.2866 27.4675 25.0247 22.8994 21.0429 19.4147 17.9810 16.7137 15.5890 14.5873 13.6916 12.8879 12.1643 11.5104 10.9176 10.3785 9.8866 42.5803 37.9740 34.0426 30.6731 27.7732 25.2667 23.0912 21.1951 19.5356 18.0772 16.7902 15.6500 14.6359 13.7305 12.9190 12.1891 11.5303 10.9336 10.3913 9.8969 43.3635 38.5881 34.5247 31.0521 28.0714 25.5017 23.2766 21.3415 19.6513 18.1687 16.8628 15.7076 14.6816 13.7668 12.9479 12.2122 11.5487 10.9482 10.4030 9.9063 44.1428 39.1961 34.9997 31.4236 28.3623 25.7298 23.4556 21.4822 19.7620 18.2559 16.9315 15.7619 14.7245 13.8007 12.9748 12.2335 11.5656 10.9617 10.4137 9.9148 38 39 40 41 42 43 0.0742|17.345910.305 に3002 |:3CO033070 44 45 46 47 48 49 50
Present value interest factor of an (ordinary) annuity of $1 per period at i% for n periods, PVIFA(i,n). 1.0% 3.5% 0.9662 1.8997 2.8016 5.0% 5.5% 0.9524 0.9479 0.5% 2.0% 2.5% 0.9756 1.9274 Period 1.5% 3.0% 6.5% 8.0% 9.0% 4.5% 0.9615 0.9569 1.8861 4.0% 6.0% 7.0% 7.5% 8.5% 9.5% 10.0% 0.9132 0.9091 1.7473 1.7355 2.5089 2.4869 3.2045 3.1699 0.9950 0.9901 0.9852 0.9804 0.9709 0.9434 0.9390 0.9346 0.9302 0.9259 0.9217 0.9174 1.9851 1.9704 1.9559 1.9416 1.9135 1.8727 1.8594 1.8463 1.8334 1.8206 1.8080 1.7956 1.7833 1.7711 1.7591 3 2.9702 2.9410 2.9122 2.8839 2.8560 2.8286 2.7751 2.7490 2.7232 2.6979 2.6730 2.6485 2.6243 2.6005 2.5771 2.5540 2.5313 4 3.9505 3.9020 3.8544 3.8077 3.7620 3.6731 3.6299 3.5875 3.5460 3.5052 3.4651 3.4258 3.3872 3.3493 3.3121 3.2756 3.2397 3.7171 4.5797 4.9259 4.8534 18534 4.7826 47135 4.6458 4.5151 4.4518 4.3900 4.3295 4.2703 4.2124 4.1557 4.1002 40459 3.9927 3.9406 3.8897 3.8397 |3.7908 4.4198 4.3553 4.9496 4.8684 5.4334 5.3349 5.8753 5.7590 6.2788 6.1446 *.0490 5.5081 5.4172 6 2303 49173 E 6824 3.3824 6.2098 6 8017 5.8964 5.6972 6.5982 5.7955 5.6014 5.3286 5.2421 5.1579 5.0757 4.9955 4.8410 4.7665 4.6938 4.6229 4.5536 4.4859 6.8621 6.7282 6.4720 5 7864 5.3893 5.2064 こ2004 5.7466 6.3494 0.3494 0.2303 6.1145 6.0021 5.8927 5.7864 5.6830 5.4845 5.2966 5.1185 5.0330 6 4632 5.5348 5 9952 8. 7.8230 7.6517 7.4859 7.3255 7.1701 7.0197 6.8740 6.7327 6.5959 0.4632 6.3346 6.0888 5.9713 5.8573 5.6392 8.7791 8 7791 8.5660 8.3605 8.1622 7.9709 7.7861 7.6077 7.4353 7.2688 7.1078 6 9522 6.8017 6.6561 6.5152 6.3789 6.2469 5.9952 6.9522 0.5000 9.4713 0.1191 6 8641 8 7521 0.7521 9.5142 9.7304 9.2222 8.3166 7 0236 6.7101 6.5613 10 zzzz'6 .9020 8.9826 8.7521 8.5302 8.1109 7.9127 7.7217 7.5376 7.1888 7.0236 6.8641 6.4177 7.3601 3.7304 10.6770 10.3676 10.0711 0.5013 6.9690 6.2788 |6.1440 6.6473 6.4951 6 9838 11 9.7868 9.2526 9.0016 8.7605 8.5289 8.3064 8.0925 7.8869 7.6890 7.4987 7.3154 7.1390 6.8052 6.9838 6.8137 7.2912 7.1034 9.6633 8.8633 8.3838 7.9427 7.7353 8 1250 12 11.6189 | 11.2551 | 10.9075 10.5753 10.2578 9.9540 9.3851 9.1186 9 6829 8.6185 0. 1587 8.5997 8.1587 7.5361 7.3447 1. 1007 7.4869 7.1607 12.5562 12.1337 11.7315 11.3484 10.9832 10.6350 10.3027 8.8527 9 2950 13 9.9856 9.6829 9.3936 9.1171 8.3577 8.1258 7.9038 7.6910 11.7315 |11.3484 |10.9832 | 10.6350 |10.3027 12.5434 | 12. 1002 13.4887 13.0037 12.5434 12.1062 11.6909 11.2961 10.9205 10.5631 8 7455 14 10.2228 9.8986 9.5896 9.2950 90138 8.7455 8.4892 8.2442 8.0101 1.7862 7.5/19 |7.3667 8.0607 ০.0০07 8.3126 0.3120 8.5436 0.5430 8.7556 0.7550 8.9501 11.6909 |11.2961 |10.9205 10.5631 |10.2228 12.3814 |11.9379 |11.5174 | 11.1184 | 10.7395 10.3797 |10.0376 13.4007| 13.0037 15 14.4166 13.8651 13.3432 12.8493 12.3814 11.9379 11.5174 11.1184 10.7395 10.3797 10.0376 9.7122 8.5595 7.8282 7.6061 9.4027 9.4027 9 7678 9.1079 8.8271 8.3042 .8282 |7.6061 8.0623 7.8237 8.2760 8.0216 14.4166 | 13.8651 | 13.3432 | 12.8493 0.3042 8.5753 0.5753 88252 16 15.3399 14.7179 | 14.1313 13.5777 |13.0550 | 12.5611 | 12.0941 11.6523 |11.2340 10.8378 10.4622 | 10.1059 9.7678 9.4466 9.1415 8.8514 9 7632 9.4340 9 7060 17 16.2586 | 15.5623 | 14.9076 | 14.2919 | 13.7122 | 13.1661 | 12.6513 | 12.1657 |11.7072 |11.2741 | 10.8646 | 10.4773 | 10.1106 9.7632 9.1216 0.2760 8.0216 0.47 13 8.2014 8.6496 |8.3649 8.8124 |8.5136 8.9611 8.6487 9.0969 8.7715 18 9.7060 9.3719 9.0555 17.1728 16.3983 15.6726 | 14.9920 14.3534 13.7535 | 13.1897 | 12.6593 12.1600 11.6896 | 11.2461 |10.8276 | 10.4325 | 10.0591 19 18.0824 | 17.2260 | 16.4262 | 15.6785 | 14.9789 | 14.3238 | 13.7098 | 13.1339 12.5933 | 12.0853 | 11.6077 11.1581 | 10.7347 10.3356 9.9591 9.6036 9.2677 20 18.9874 | 18.0456 | 17.1686 | 16.3514 | 15.5892 14.8775 |14.2124 | 13.5903 13.0079 | 12.4622 | 11.9504 |11.4699 | 11.0185 | 10.5940 10.1945 98181 9.4633 9.1285 21 19.8880 18.8570 17.9001 17.0112 16.1845 15.4150 14.6980 14.0292 13.4047 12.8212 12.2752 11.7641 11.2850 10.8355 10.4135 10.0168 20 7841 19.6604 18.6208 17 6580 16 7654 15.9369 15 1671 14 4511 13 7844 13 1630 12 5832 12 0416 11.5352|11.0612 | 10.6172 |10.2007 15.4150 14.6980 14.0292 13.4047 12.8212 | 12.2752 |11.7641 | 11.2850 10.8355 10.4135 | 10.0168 9.6436 9.2922 22 9.8098 9.4424 9.0969 |8.7715 21.6757 20.4558 19.3309 18.2922 17.3321 16.4436 15.6204 14.8568 14.1478 13.4886 12.8750 12.3034 11.7701 11.2722 10.8067 10.3711 22.5629 21.2434 20.0304 18.9139 17.8850 16.9355 16.0584 15.2470 14.4955 13.7986 11.9907 11.4693 10.9830 10.5288 10.1041 23 16.4436 | 15.6204 14.8568 | 14.1478 13.4886 12.8750 12.3034 11.7701 | 11.2722 10.8067 10.3711 13.1517 12.5504 12.7834 9.9629 9.5802 9.2209 |8.8832 9.3341 8.9847 24 10.5288 | 10.1041 9.7066 9.8226 9.9290 9.4376 9.0770 9.5320 9.1609 9.6183 9.2372 9.6971 9.3066 9.7690 9.3696 25 17.4131 26 24.3240 22.7952 21.3986 20.1210 18.9506 17.8768 16.8904 15.9828 15.1466 14.3752 13.6625 13.0032 12.3924 11.8258 11.2995 10.8100 10.3541 25.1980 23.5596 22.0676 20.7069 19.4640 18.3270 17.2854 16.3296 15.4513 14.6430 13.8981 13.2105 12.5750 11.9867 11.4414 10.9352 10.4646 10.0266 27 28 26.0677 24.3164 22.7267 21.2813 19.9649 18.7641 17.6670 16.6631 15.7429 14.8981 14.1214 13.4062 12.7465 12.1371 11.5734 11.0511 10.5665 10.1161 26.9330 25.0658 23.3761 21.8444 20.4535 19.1885 18.0358 16.9837 16.0219 15.1411 14.3331 13.5907 12.9075 12.2777 11.6962 11.1584 10.6603 10.1983 27.7941 25.8077 24.0158 22.3965 20.9303 19.6004 18.3920 17.2920 16.2889 15.3725 14.5337 13.7648 13.0587 12.4090 11.8104 11.2578 10.7468 10.2737 28.6508 26.5423 24.6461 22.9377 21.3954 20.0004 18.7363 17.5885 16.5444 15.5928 14.7239 13.9291 13.2006 12.5318 11.9166 11.3498 10.8266 10.3428 29.5033 27.2696 25.2671 23.4683 21.8492 20.3888 19.0689 17.8736 16.7889 15.8027 14.9042 14.0840 13.3339 12.6466 12.0155 11.4350 10.9001 10.4062 29 9.8347 9.4269 0年! 209 9.8947 9.4790 30 31 9.9495 9.5264 9.9996 9.5694 32 30.3515 27.9897 25.8790 23.9886 22.2919 20.7658 19.3902 18.1476 17.0229 16.0025 15.0751 14.2302 13.4591 12.7538 12.1074 11.5139 10.9678 10.4644 31.1955 28.7027 26.4817 24.4986 22.7238 21.1318 19.7007 18.4112 17.2468 16.1929 15.2370 14.3681 13.5766 12.8540 12.1929 11.5869 11.0302 10.5178 10.0453 9.6086 33 34 35 32.0354 29.4086 27.0756 24.9986 23.1452 21.4872 20.0007 18.6646 17.4610 16.3742 15.3906 14.4982 13.6870 12.9477 12.2725 11.6546 11.0878 10.5668 10.0870 |9.6442 14.49625.070 36 32.8710 30.1075 27.6607 25.4888 23.5563 21.8323 20.2905 18.9083 17.6660 16.5469 15.5361 14.6210 13.7906 13.0352 12.3465 11.7172 11.1408 10.6118 10.1251 9.6765 こ201020.10737000 | 000 33o0 37 33.7025 30.7995 28.2371 25.9695 23.9573 22.1672 20.5705 19.1426 17.8622 16.7113 15.6740 14.7368 13.8879 13.1170 12.4154 11.7752 11.1897 10.6530 10.1599 9.7059 34.5299 31.4847 28.8051 26.4406 24.3486 22.4925 20.8411 19.3679 18.0500 16.8679 15.8047 14.8460 13.9792 13.1935 12.4794 11.8289 11.2347 10.6908 10.1917 9.7327 35.3531 32.1630 29.3646 26.9026 24.7303 22.8082 21.1025 19.5845 18.2297 17.0170 15.9287 14.9491 14.0650 13.2649 12.5390 11.8786 11.2763 10.7255 10.2207 9.7570 36.1722 32.8347 29.9158 27.3555 25.1028 23.1148 21.3551 19.7928 18.4016 17.1591 16.0461 15.0463 14.1455 13.3317 12.5944 11.9246 11.3145 10.7574 10.2472 9.7791 36.9873 33.4997 30.4590 27.7995 25.4661 23.4124 21.5991 19.9931 18.5661 17.2944 16.1575 15.1380 14.2212 13.3941 12.6460 11.9672 11.3498 10.7866 10.2715 9.7991 37.7983 34.1581 30.9941 28.2348 25.8206 23.7014 21.8349 20.1856 18.7235 17.4232 16.2630 15.2245 14.2922 13.4524 12.6939 12.0067 11.3823 10.8134 10.2936 9.8174 38.6053 34.8100 31.5212 28.6616 26.1664 23.9819 22.0627 20.3708 18.8742 17.5459 16.3630 15.3062 14.3588 13.5070 12.7385 12.0432 11.4123 10.8380 10.3138 9.8340 39.4082 35.4555 32.0406 29.0800 26.5038 24.2543 22.2828 20.5488 19.0184 17.6628 16.4579 15.3832 14.4214 13.5579 12.7800 12.0771 11.4399 10.8605 10.3322 9.8491 40.2072 36.0945 32.5523 29.4902 26.8330 24.5187 22.4955 20.7200 19.1563 17.7741 16.5477 15.4558 14.4802 13.6055 12.8186 12.1084 11.4653 10.8812 10.3490 9.8628 41.0022 36.7272 33.0565 29.8923 27.1542 24.7754 22.7009 20.8847 19.2884 17.8801 16.6329 15.5244 14.5354 13.6500 12.8545 12.1374 11.4888 10.9002 10.3644 9.8753 41.7932 37.3537 33.5532 30.2866 27.4675 25.0247 22.8994 21.0429 19.4147 17.9810 16.7137 15.5890 14.5873 13.6916 12.8879 12.1643 11.5104 10.9176 10.3785 9.8866 42.5803 37.9740 34.0426 30.6731 27.7732 25.2667 23.0912 21.1951 19.5356 18.0772 16.7902 15.6500 14.6359 13.7305 12.9190 12.1891 11.5303 10.9336 10.3913 9.8969 43.3635 38.5881 34.5247 31.0521 28.0714 25.5017 23.2766 21.3415 19.6513 18.1687 16.8628 15.7076 14.6816 13.7668 12.9479 12.2122 11.5487 10.9482 10.4030 9.9063 44.1428 39.1961 34.9997 31.4236 28.3623 25.7298 23.4556 21.4822 19.7620 18.2559 16.9315 15.7619 14.7245 13.8007 12.9748 12.2335 11.5656 10.9617 10.4137 9.9148 38 39 40 41 42 43 0.0742|17.345910.305 に3002 |:3CO033070 44 45 46 47 48 49 50
Financial Accounting Intro Concepts Meth/Uses
14th Edition
ISBN:9781285595047
Author:Weil
Publisher:Weil
ChapterA: Appendix - Time Value Of Cash Flows: Compound Interest Concepts And Applications
Section: Chapter Questions
Problem 20E
Related questions
Question
Susan Orman wants to pay $1,400 semiannually to her granddaughter for 10 years for helping her around the house. If Susan can invest money at 6% compounded quarterly, how much must she invest today to meet this goal? (Please use the following provided Table.) (Do not round intermediate calculations. Round your answer to the nearest cent.)
Transcribed Image Text:Present value interest factor of an (ordinary) annuity of $1 per period at i% for n periods, PVIFA(i,n).
1.0%
3.5%
0.9662
1.8997
2.8016
5.0%
5.5%
0.9524 0.9479
0.5%
2.0%
2.5%
0.9756
1.9274
Period
1.5%
3.0%
6.5%
8.0%
9.0%
4.5%
0.9615 0.9569
1.8861
4.0%
6.0%
7.0%
7.5%
8.5%
9.5%
10.0%
0.9132 0.9091
1.7473 1.7355
2.5089 2.4869
3.2045 3.1699
0.9950
0.9901
0.9852
0.9804
0.9709
0.9434
0.9390
0.9346
0.9302
0.9259
0.9217
0.9174
1.9851
1.9704
1.9559
1.9416
1.9135
1.8727
1.8594
1.8463
1.8334
1.8206
1.8080
1.7956
1.7833
1.7711
1.7591
3
2.9702
2.9410
2.9122
2.8839
2.8560
2.8286
2.7751
2.7490
2.7232
2.6979
2.6730
2.6485
2.6243
2.6005
2.5771
2.5540
2.5313
4
3.9505
3.9020
3.8544
3.8077
3.7620
3.6731
3.6299
3.5875
3.5460
3.5052
3.4651
3.4258
3.3872
3.3493
3.3121
3.2756
3.2397
3.7171
4.5797
4.9259
4.8534
18534
4.7826
47135
4.6458
4.5151
4.4518
4.3900
4.3295
4.2703
4.2124
4.1557
4.1002
40459
3.9927
3.9406
3.8897
3.8397 |3.7908
4.4198 4.3553
4.9496 4.8684
5.4334 5.3349
5.8753 5.7590
6.2788 6.1446
*.0490
5.5081
5.4172
6 2303
49173
E 6824
3.3824
6.2098
6 8017
5.8964
5.6972
6.5982
5.7955
5.6014
5.3286
5.2421
5.1579
5.0757
4.9955
4.8410
4.7665
4.6938
4.6229
4.5536
4.4859
6.8621
6.7282
6.4720
5 7864
5.3893
5.2064
こ2004
5.7466
6.3494
0.3494
0.2303
6.1145
6.0021
5.8927
5.7864
5.6830
5.4845
5.2966
5.1185
5.0330
6 4632
5.5348
5 9952
8.
7.8230
7.6517
7.4859
7.3255
7.1701
7.0197
6.8740
6.7327
6.5959
0.4632
6.3346
6.0888
5.9713
5.8573
5.6392
8.7791
8 7791
8.5660
8.3605
8.1622
7.9709
7.7861
7.6077
7.4353
7.2688
7.1078
6 9522
6.8017
6.6561
6.5152
6.3789
6.2469
5.9952
6.9522
0.5000
9.4713
0.1191
6 8641
8 7521
0.7521
9.5142
9.7304
9.2222
8.3166
7 0236
6.7101
6.5613
10
zzzz'6
.9020
8.9826
8.7521
8.5302
8.1109
7.9127
7.7217
7.5376
7.1888
7.0236
6.8641
6.4177
7.3601
3.7304
10.6770 10.3676 10.0711
0.5013
6.9690
6.2788 |6.1440
6.6473 6.4951
6 9838
11
9.7868
9.2526
9.0016
8.7605
8.5289
8.3064
8.0925
7.8869
7.6890
7.4987
7.3154
7.1390
6.8052
6.9838 6.8137
7.2912 7.1034
9.6633
8.8633
8.3838
7.9427
7.7353
8 1250
12
11.6189 | 11.2551 | 10.9075 10.5753 10.2578
9.9540
9.3851
9.1186
9 6829
8.6185
0. 1587
8.5997
8.1587
7.5361
7.3447
1. 1007
7.4869
7.1607
12.5562 12.1337 11.7315 11.3484 10.9832 10.6350 10.3027
8.8527
9 2950
13
9.9856
9.6829
9.3936
9.1171
8.3577
8.1258
7.9038
7.6910
11.7315 |11.3484 |10.9832 | 10.6350 |10.3027
12.5434 | 12. 1002
13.4887 13.0037 12.5434 12.1062 11.6909 11.2961 10.9205 10.5631
8 7455
14
10.2228
9.8986 9.5896
9.2950
90138
8.7455
8.4892
8.2442
8.0101
1.7862 7.5/19 |7.3667
8.0607
০.0০07
8.3126
0.3120
8.5436
0.5430
8.7556
0.7550
8.9501
11.6909 |11.2961 |10.9205 10.5631 |10.2228
12.3814 |11.9379 |11.5174 | 11.1184 | 10.7395 10.3797 |10.0376
13.4007| 13.0037
15
14.4166 13.8651 13.3432 12.8493 12.3814 11.9379 11.5174 11.1184 10.7395 10.3797 10.0376
9.7122
8.5595
7.8282 7.6061
9.4027
9.4027
9 7678
9.1079
8.8271
8.3042
.8282 |7.6061
8.0623 7.8237
8.2760 8.0216
14.4166 | 13.8651 | 13.3432 | 12.8493
0.3042
8.5753
0.5753
88252
16
15.3399 14.7179 | 14.1313 13.5777 |13.0550 | 12.5611 | 12.0941 11.6523 |11.2340 10.8378 10.4622 | 10.1059
9.7678
9.4466
9.1415
8.8514
9 7632
9.4340
9 7060
17
16.2586 | 15.5623 | 14.9076 | 14.2919 | 13.7122 | 13.1661 | 12.6513 | 12.1657 |11.7072 |11.2741 | 10.8646 | 10.4773 | 10.1106
9.7632
9.1216
0.2760 8.0216
0.47 13 8.2014
8.6496 |8.3649
8.8124 |8.5136
8.9611 8.6487
9.0969 8.7715
18
9.7060
9.3719
9.0555
17.1728 16.3983 15.6726 | 14.9920 14.3534 13.7535 | 13.1897 | 12.6593 12.1600 11.6896 | 11.2461 |10.8276 | 10.4325 | 10.0591
19
18.0824 | 17.2260 | 16.4262 | 15.6785 | 14.9789 | 14.3238 | 13.7098 | 13.1339 12.5933 | 12.0853 | 11.6077 11.1581 | 10.7347 10.3356
9.9591
9.6036
9.2677
20
18.9874 | 18.0456 | 17.1686 | 16.3514 | 15.5892 14.8775 |14.2124 | 13.5903 13.0079 | 12.4622 | 11.9504 |11.4699 | 11.0185 | 10.5940 10.1945
98181
9.4633
9.1285
21
19.8880 18.8570 17.9001 17.0112 16.1845 15.4150 14.6980 14.0292 13.4047 12.8212 12.2752 11.7641 11.2850 10.8355 10.4135 10.0168
20 7841 19.6604 18.6208 17 6580 16 7654 15.9369 15 1671 14 4511 13 7844 13 1630 12 5832 12 0416 11.5352|11.0612 | 10.6172 |10.2007
15.4150 14.6980 14.0292 13.4047 12.8212 | 12.2752 |11.7641 | 11.2850 10.8355 10.4135 | 10.0168
9.6436
9.2922
22
9.8098
9.4424
9.0969 |8.7715
21.6757 20.4558 19.3309 18.2922 17.3321 16.4436 15.6204 14.8568 14.1478 13.4886 12.8750 12.3034 11.7701 11.2722 10.8067 10.3711
22.5629 21.2434 20.0304 18.9139 17.8850 16.9355 16.0584 15.2470 14.4955 13.7986 11.9907 11.4693 10.9830 10.5288 10.1041
23
16.4436 | 15.6204 14.8568 | 14.1478 13.4886 12.8750 12.3034 11.7701 | 11.2722 10.8067 10.3711
13.1517 12.5504
12.7834
9.9629
9.5802
9.2209 |8.8832
9.3341 8.9847
24
10.5288 | 10.1041
9.7066
9.8226
9.9290
9.4376 9.0770
9.5320 9.1609
9.6183 9.2372
9.6971 9.3066
9.7690 9.3696
25
17.4131
26
24.3240 22.7952 21.3986 20.1210 18.9506 17.8768 16.8904 15.9828 15.1466 14.3752 13.6625 13.0032 12.3924 11.8258 11.2995 10.8100 10.3541
25.1980 23.5596 22.0676 20.7069 19.4640 18.3270 17.2854 16.3296 15.4513 14.6430 13.8981 13.2105 12.5750 11.9867 11.4414 10.9352 10.4646 10.0266
27
28
26.0677 24.3164 22.7267 21.2813 19.9649 18.7641 17.6670 16.6631 15.7429 14.8981 14.1214 13.4062 12.7465 12.1371 11.5734 11.0511 10.5665 10.1161
26.9330 25.0658 23.3761 21.8444 20.4535 19.1885 18.0358 16.9837 16.0219 15.1411 14.3331 13.5907 12.9075 12.2777 11.6962 11.1584 10.6603 10.1983
27.7941 25.8077 24.0158 22.3965 20.9303 19.6004 18.3920 17.2920 16.2889 15.3725 14.5337 13.7648 13.0587 12.4090 11.8104 11.2578 10.7468 10.2737
28.6508 26.5423 24.6461 22.9377 21.3954 20.0004 18.7363 17.5885 16.5444 15.5928 14.7239 13.9291 13.2006 12.5318 11.9166 11.3498 10.8266 10.3428
29.5033 27.2696 25.2671 23.4683 21.8492 20.3888 19.0689 17.8736 16.7889 15.8027 14.9042 14.0840 13.3339 12.6466 12.0155 11.4350 10.9001 10.4062
29
9.8347 9.4269
0年! 209
9.8947 9.4790
30
31
9.9495 9.5264
9.9996 9.5694
32
30.3515 27.9897 25.8790 23.9886 22.2919 20.7658 19.3902 18.1476 17.0229 16.0025 15.0751 14.2302 13.4591 12.7538 12.1074 11.5139 10.9678 10.4644
31.1955 28.7027 26.4817 24.4986 22.7238 21.1318 19.7007 18.4112 17.2468 16.1929 15.2370 14.3681 13.5766 12.8540 12.1929 11.5869 11.0302 10.5178 10.0453 9.6086
33
34
35
32.0354 29.4086 27.0756 24.9986 23.1452 21.4872 20.0007 18.6646 17.4610 16.3742 15.3906 14.4982 13.6870 12.9477 12.2725 11.6546 11.0878 10.5668 10.0870 |9.6442
14.49625.070
36
32.8710 30.1075 27.6607 25.4888 23.5563 21.8323 20.2905 18.9083 17.6660 16.5469 15.5361 14.6210 13.7906 13.0352 12.3465 11.7172 11.1408 10.6118 10.1251 9.6765
こ201020.10737000 | 000 33o0
37
33.7025 30.7995 28.2371 25.9695 23.9573 22.1672 20.5705 19.1426 17.8622 16.7113 15.6740 14.7368 13.8879 13.1170 12.4154 11.7752 11.1897 10.6530 10.1599 9.7059
34.5299 31.4847 28.8051 26.4406 24.3486 22.4925 20.8411 19.3679 18.0500 16.8679 15.8047 14.8460 13.9792 13.1935 12.4794 11.8289 11.2347 10.6908 10.1917 9.7327
35.3531 32.1630 29.3646 26.9026 24.7303 22.8082 21.1025 19.5845 18.2297 17.0170 15.9287 14.9491 14.0650 13.2649 12.5390 11.8786 11.2763 10.7255 10.2207 9.7570
36.1722 32.8347 29.9158 27.3555 25.1028 23.1148 21.3551 19.7928 18.4016 17.1591 16.0461 15.0463 14.1455 13.3317 12.5944 11.9246 11.3145 10.7574 10.2472 9.7791
36.9873 33.4997 30.4590 27.7995 25.4661 23.4124 21.5991 19.9931 18.5661 17.2944 16.1575 15.1380 14.2212 13.3941 12.6460 11.9672 11.3498 10.7866 10.2715 9.7991
37.7983 34.1581 30.9941 28.2348 25.8206 23.7014 21.8349 20.1856 18.7235 17.4232 16.2630 15.2245 14.2922 13.4524 12.6939 12.0067 11.3823 10.8134 10.2936 9.8174
38.6053 34.8100 31.5212 28.6616 26.1664 23.9819 22.0627 20.3708 18.8742 17.5459 16.3630 15.3062 14.3588 13.5070 12.7385 12.0432 11.4123 10.8380 10.3138 9.8340
39.4082 35.4555 32.0406 29.0800 26.5038 24.2543 22.2828 20.5488 19.0184 17.6628 16.4579 15.3832 14.4214 13.5579 12.7800 12.0771 11.4399 10.8605 10.3322 9.8491
40.2072 36.0945 32.5523 29.4902 26.8330 24.5187 22.4955 20.7200 19.1563 17.7741 16.5477 15.4558 14.4802 13.6055 12.8186 12.1084 11.4653 10.8812 10.3490 9.8628
41.0022 36.7272 33.0565 29.8923 27.1542 24.7754 22.7009 20.8847 19.2884 17.8801 16.6329 15.5244 14.5354 13.6500 12.8545 12.1374 11.4888 10.9002 10.3644 9.8753
41.7932 37.3537 33.5532 30.2866 27.4675 25.0247 22.8994 21.0429 19.4147 17.9810 16.7137 15.5890 14.5873 13.6916 12.8879 12.1643 11.5104 10.9176 10.3785 9.8866
42.5803 37.9740 34.0426 30.6731 27.7732 25.2667 23.0912 21.1951 19.5356 18.0772 16.7902 15.6500 14.6359 13.7305 12.9190 12.1891 11.5303 10.9336 10.3913 9.8969
43.3635 38.5881 34.5247 31.0521 28.0714 25.5017 23.2766 21.3415 19.6513 18.1687 16.8628 15.7076 14.6816 13.7668 12.9479 12.2122 11.5487 10.9482 10.4030 9.9063
44.1428 39.1961 34.9997 31.4236 28.3623 25.7298 23.4556 21.4822 19.7620 18.2559 16.9315 15.7619 14.7245 13.8007 12.9748 12.2335 11.5656 10.9617 10.4137 9.9148
38
39
40
41
42
43
0.0742|17.345910.305
に3002 |:3CO033070
44
45
46
47
48
49
50
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Jay Rich, Jeff Jones
Publisher:
Cengage Learning
Cornerstones of Financial Accounting
Accounting
ISBN:
9781337690881
Author:
Jay Rich, Jeff Jones
Publisher:
Cengage Learning
Intermediate Accounting: Reporting And Analysis
Accounting
ISBN:
9781337788281
Author:
James M. Wahlen, Jefferson P. Jones, Donald Pagach
Publisher:
Cengage Learning