26-S2374-APAB 2/24/03 4:22 PM Page T-1 APPENDIX A: FINANCIAL TABLES T-1 CuuDuongThanCong.com https://fb.com/tailieudientucntt 1% 1.010 1.020 1.030 1.041 1.051 1.062 1.072 1.083 1.094 1.105 1.116 1.127 1.138 1.149 1.161 1.173 1.184 1.196 1.208 1.220 1.232 1.245 1.257 1.270 1.282 1.348 1.417 1.489 1.565 1.645 Period 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 30 35 40 45 50 1.020 1.040 1.061 1.082 1.104 1.126 1.149 1.172 1.195 1.219 1.243 1.268 1.294 1.319 1.346 1.373 1.400 1.428 1.457 1.486 1.516 1.546 1.577 1.608 1.641 1.811 2.000 2.208 2.438 2.692 2% 1.030 1.061 1.093 1.126 1.159 1.194 1.230 1.267 1.305 1.344 1.384 1.426 1.469 1.513 1.558 1.605 1.653 1.702 1.754 1.806 1.860 1.916 1.974 2.033 2.094 2.427 2.814 3.262 3.782 4.384 3% 1.040 1.082 1.125 1.170 1.217 1.265 1.316 1.369 1.423 1.480 1.539 1.601 1.665 1.732 1.801 1.873 1.948 2.026 2.107 2.191 2.279 2.370 2.465 2.563 2.666 3.243 3.946 4.801 5.841 7.107 4% FVFr%,n ϭ (1 ϩ r)n 1.050 1.103 1.158 1.216 1.276 1.340 1.407 1.477 1.551 1.629 1.710 1.796 1.886 1.980 2.079 2.183 2.292 2.407 2.527 2.653 2.786 2.925 3.072 3.225 3.386 4.322 5.516 7.040 8.985 11.467 5% 1.060 1.124 1.191 1.262 1.338 1.419 1.504 1.594 1.689 1.791 1.898 2.012 2.133 2.261 2.397 2.540 2.693 2.854 3.026 3.207 3.400 3.604 3.820 4.049 4.292 5.743 7.686 10.286 13.765 18.420 6% 7% 1.070 1.145 1.225 1.311 1.403 1.501 1.606 1.718 1.838 1.967 2.105 2.252 2.410 2.579 2.759 2.952 3.159 3.380 3.617 3.870 4.141 4.430 4.741 5.072 5.427 7.612 10.677 14.974 21.002 29.457 Table A1 Future Value Factors for One Dollar Compounded at r Percent for n Periods 1.080 1.166 1.260 1.360 1.469 1.587 1.714 1.851 1.999 2.159 2.332 2.518 2.720 2.937 3.172 3.426 3.700 3.996 4.316 4.661 5.034 5.437 5.871 6.341 6.848 10.063 14.785 21.725 31.920 46.902 8% 10% 1.090 1.100 1.188 1.210 1.295 1.331 1.412 1.464 1.539 1.611 1.677 1.772 1.828 1.949 1.993 2.144 2.172 2.358 2.367 2.594 2.580 2.853 2.813 3.138 3.066 3.452 3.342 3.797 3.642 4.177 3.970 4.595 4.328 5.054 4.717 5.560 5.142 6.116 5.604 6.727 6.109 7.400 6.659 8.140 7.258 8.954 7.911 9.850 8.623 10.835 13.268 17.449 20.414 28.102 31.409 45.259 48.327 72.890 74.358 117.391 9% 1.110 1.232 1.368 1.518 1.685 1.870 2.076 2.305 2.558 2.839 3.152 3.498 3.883 4.310 4.785 5.311 5.895 6.544 7.263 8.062 8.949 9.934 11.026 12.239 13.585 22.892 38.575 65.001 109.530 184.565 11% 1.120 1.254 1.405 1.574 1.762 1.974 2.211 2.476 2.773 3.106 3.479 3.896 4.363 4.887 5.474 6.130 6.866 7.690 8.613 9.646 10.804 12.100 13.552 15.179 17.000 29.960 52.800 93.051 163.988 289.002 12% 1.130 1.277 1.443 1.630 1.842 2.082 2.353 2.658 3.004 3.395 3.836 4.335 4.898 5.535 6.254 7.067 7.986 9.024 10.197 11.523 13.021 14.714 16.627 18.788 21.231 39.116 72.069 132.782 244.641 450.736 13% 1.140 1.300 1.482 1.689 1.925 2.195 2.502 2.853 3.252 3.707 4.226 4.818 5.492 6.261 7.138 8.137 9.276 10.575 12.056 13.743 15.668 17.861 20.362 23.212 26.462 50.950 98.100 188.884 363.679 700.233 14% 1.150 1.323 1.521 1.749 2.011 2.313 2.660 3.059 3.518 4.046 4.652 5.350 6.153 7.076 8.137 9.358 10.761 12.375 14.232 16.367 18.822 21.645 24.891 28.625 32.919 66.212 133.176 267.864 538.769 1083.657 15% 26-S2374-APAB 2/24/03 4:22 PM Page T-2 T-2 Appendix A: Financial Tables CuuDuongThanCong.com https://fb.com/tailieudientucntt CuuDuongThanCong.com 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 30 35 40 45 50 Period 1.160 1.346 1.561 1.811 2.100 2.436 2.826 3.278 3.803 4.411 5.117 5.936 6.886 7.988 9.266 10.748 12.468 14.463 16.777 19.461 22.574 26.186 30.376 35.236 40.874 85.850 180.314 378.721 795.444 1670.704 16% 17% 1.170 1.369 1.602 1.874 2.192 2.565 3.001 3.511 4.108 4.807 5.624 6.580 7.699 9.007 10.539 12.330 14.426 16.879 19.748 23.106 27.034 31.629 37.006 43.297 50.658 111.065 243.503 533.869 1170.479 2566.215 Table A1 (continued ) 1.180 1.392 1.643 1.939 2.288 2.700 3.185 3.759 4.435 5.234 6.176 7.288 8.599 10.147 11.974 14.129 16.672 19.673 23.214 27.393 32.324 38.142 45.008 53.109 62.669 143.371 327.997 750.378 1716.684 3927.357 18% 1.190 1.416 1.685 2.005 2.386 2.840 3.379 4.021 4.785 5.695 6.777 8.064 9.596 11.420 13.590 16.172 19.244 22.901 27.252 32.429 38.591 45.923 54.649 65.032 77.388 184.675 440.701 1051.668 2509.651 5988.914 19% 21% 22% 23% 24% 25% 1.200 1.210 1.220 1.230 1.240 1.250 1.440 1.464 1.488 1.513 1.538 1.563 1.728 1.772 1.816 1.861 1.907 1.953 2.074 2.144 2.215 2.289 2.364 2.441 2.488 2.594 2.703 2.815 2.932 3.052 2.986 3.138 3.297 3.463 3.635 3.815 3.583 3.797 4.023 4.259 4.508 4.768 4.300 4.595 4.908 5.239 5.590 5.960 5.160 5.560 5.987 6.444 6.931 7.451 6.192 6.727 7.305 7.926 8.594 9.313 7.430 8.140 8.912 9.749 10.657 11.642 8.916 9.850 10.872 11.991 13.215 14.552 10.699 11.918 13.264 14.749 16.386 18.190 12.839 14.421 16.182 18.141 20.319 22.737 15.407 17.449 19.742 22.314 25.196 28.422 18.488 21.114 24.086 27.446 31.243 35.527 22.186 25.548 29.384 33.759 38.741 44.409 26.623 30.913 35.849 41.523 48.039 55.511 31.948 37.404 43.736 51.074 59.568 69.389 38.338 45.259 53.358 62.821 73.864 86.736 46.005 54.764 65.096 77.269 91.592 108.420 55.206 66.264 79.418 95.041 113.574 135.525 66.247 80.180 96.889 116.901 140.831 169.407 79.497 97.017 118.205 143.788 174.631 211.758 95.396 117.391 144.210 176.859 216.542 264.698 237.376 304.482 389.758 497.913 634.820 807.794 590.668 789.747 1053.402 1401.777 1861.054 2465.190 1469.772 2048.400 2847.038 3946.430 5455.913 7523.164 3657.262 5313.023 7694.712 11110.408 15994.690 22958.874 9100.438 13780.612 20796.561 31279.195 46890.435 70064.923 20% 1.260 1.588 2.000 2.520 3.176 4.002 5.042 6.353 8.005 10.086 12.708 16.012 20.175 25.421 32.030 40.358 50.851 64.072 80.731 101.721 128.169 161.492 203.480 256.385 323.045 1025.927 3258.135 10347.175 32860.527 104358.362 26% 1.270 1.613 2.048 2.601 3.304 4.196 5.329 6.768 8.595 10.915 13.862 17.605 22.359 28.396 36.062 45.799 58.165 73.870 93.815 119.145 151.314 192.168 244.054 309.948 393.634 1300.504 4296.653 14195.439 46899.417 154948.026 27% 26-S2374-APAB 2/24/03 4:22 PM Page T-3 Appendix A: Financial Tables T-3 https://fb.com/tailieudientucntt 1.280 1.638 2.097 2.684 3.436 4.398 5.629 7.206 9.223 11.806 15.112 19.343 24.759 31.691 40.565 51.923 66.461 85.071 108.890 139.380 178.406 228.360 292.300 374.144 478.905 1645.505 5653.911 19426.689 66749.595 229349.862 28% 1.290 1.664 2.147 2.769 3.572 4.608 5.945 7.669 9.893 12.761 16.462 21.236 27.395 35.339 45.587 58.808 75.862 97.862 126.242 162.852 210.080 271.003 349.593 450.976 581.759 2078.219 7424.032 26520.909 94740.782 338442.984 29% 1.300 1.690 2.197 2.856 3.713 4.827 6.275 8.157 10.604 13.786 17.922 23.298 30.288 39.374 51.186 66.542 86.504 112.455 146.192 190.050 247.065 321.184 417.539 542.801 705.641 2619.996 9727.860 36118.865 134106.817 497929.223 30% 1.310 1.716 2.248 2.945 3.858 5.054 6.621 8.673 11.362 14.884 19.498 25.542 33.460 43.833 57.421 75.221 98.540 129.087 169.104 221.527 290.200 380.162 498.012 652.396 854.638 3297.151 12720.241 49074.042 189325.148 730406.758 31% 1.320 1.742 2.300 3.036 4.007 5.290 6.983 9.217 12.166 16.060 21.199 27.983 36.937 48.757 64.359 84.954 112.139 148.024 195.391 257.916 340.449 449.393 593.199 783.023 1033.590 4142.075 16599.217 66520.767 266579.595 * 32% 1.330 1.769 2.353 3.129 4.162 5.535 7.361 9.791 13.022 17.319 23.034 30.635 40.745 54.190 72.073 95.858 127.491 169.562 225.518 299.939 398.919 530.562 705.647 938.511 1248.220 5194.566 21617.598 89963.354 374389.658 * 33% 1.340 1.796 2.406 3.224 4.320 5.789 7.758 10.395 13.930 18.666 25.012 33.516 44.912 60.182 80.644 108.063 144.804 194.038 260.011 348.414 466.875 625.613 838.321 1123.350 1505.289 6503.452 28097.517 121392.522 524464.294 * 34% 1.350 1.823 2.460 3.322 4.484 6.053 8.172 11.032 14.894 20.107 27.144 36.644 49.470 66.784 90.158 121.714 164.314 221.824 299.462 404.274 545.769 736.789 994.665 1342.797 1812.776 8128.550 36448.688 163437.135 732857.577 * 35% 1.400 1.960 2.744 3.842 5.378 7.530 10.541 14.758 20.661 28.925 40.496 56.694 79.371 111.120 155.568 217.795 304.913 426.879 597.630 836.683 1171.356 1639.898 2295.857 3214.200 4499.880 24201.432 130161.112 700037.697 * * 40% 1.450 2.103 3.049 4.421 6.410 9.294 13.476 19.541 28.334 41.085 59.573 86.381 125.252 181.615 263.342 381.846 553.676 802.831 1164.105 1687.952 2447.530 3548.919 5145.932 7461.602 10819.322 69348.978 444508.508 * * * 45% 1.500 2.250 3.375 5.063 7.594 11.391 17.086 25.629 38.443 57.665 86.498 129.746 194.620 291.929 437.894 656.841 985.261 1477.892 2216.838 3325.257 4987.885 7481.828 11222.741 16834.112 25251.168 191751.059 * * * * 50% T-4 CuuDuongThanCong.com https://fb.com/tailieudientucntt * Not shown because of space limitations 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 30 35 40 45 50 Period FVFr%,n ϭ (1 ϩ r)n Table A1 (continued ) Future Value Factors for One Dollar Compounded at r Percent for n Periods 26-S2374-APAB 2/24/03 4:22 PM Page T-4 Appendix A: Financial Tables CuuDuongThanCong.com 1% 0.990 0.980 0.971 0.961 0.951 0.942 0.933 0.923 0.914 0.905 0.896 0.887 0.879 0.870 0.861 0.853 0.844 0.836 0.828 0.820 0.811 0.803 0.795 0.788 0.780 0.742 0.706 0.672 0.639 0.608 Period 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 30 35 40 45 50 0.980 0.961 0.942 0.924 0.906 0.888 0.871 0.853 0.837 0.820 0.804 0.788 0.773 0.758 0.743 0.728 0.714 0.700 0.686 0.673 0.660 0.647 0.634 0.622 0.610 0.552 0.500 0.453 0.410 0.372 2% 0.971 0.943 0.915 0.888 0.863 0.837 0.813 0.789 0.766 0.744 0.722 0.701 0.681 0.661 0.642 0.623 0.605 0.587 0.570 0.554 0.538 0.522 0.507 0.492 0.478 0.412 0.355 0.307 0.264 0.228 3% 0.962 0.925 0.889 0.855 0.822 0.790 0.760 0.731 0.703 0.676 0.650 0.625 0.601 0.577 0.555 0.534 0.513 0.494 0.475 0.456 0.439 0.422 0.406 0.390 0.375 0.308 0.253 0.208 0.171 0.141 4% PVFr%,n ϭ 1/(1 ϩ r)n 0.952 0.907 0.864 0.823 0.784 0.746 0.711 0.677 0.645 0.614 0.585 0.557 0.530 0.505 0.481 0.458 0.436 0.416 0.396 0.377 0.359 0.342 0.326 0.310 0.295 0.231 0.181 0.142 0.111 0.087 5% 0.943 0.890 0.840 0.792 0.747 0.705 0.665 0.627 0.592 0.558 0.527 0.497 0.469 0.442 0.417 0.394 0.371 0.350 0.331 0.312 0.294 0.278 0.262 0.247 0.233 0.174 0.130 0.097 0.073 0.054 6% Table A2 Present Value Factors for One Dollar Discounted at r Percent for n Periods 0.935 0.873 0.816 0.763 0.713 0.666 0.623 0.582 0.544 0.508 0.475 0.444 0.415 0.388 0.362 0.339 0.317 0.296 0.277 0.258 0.242 0.226 0.211 0.197 0.184 0.131 0.094 0.067 0.048 0.034 7% 0.926 0.857 0.794 0.735 0.681 0.630 0.583 0.540 0.500 0.463 0.429 0.397 0.368 0.340 0.315 0.292 0.270 0.250 0.232 0.215 0.199 0.184 0.170 0.158 0.146 0.099 0.068 0.046 0.031 0.021 8% 0.917 0.842 0.772 0.708 0.650 0.596 0.547 0.502 0.460 0.422 0.388 0.356 0.326 0.299 0.275 0.252 0.231 0.212 0.194 0.178 0.164 0.150 0.138 0.126 0.116 0.075 0.049 0.032 0.021 0.013 9% 0.909 0.826 0.751 0.683 0.621 0.564 0.513 0.467 0.424 0.386 0.350 0.319 0.290 0.263 0.239 0.218 0.198 0.180 0.164 0.149 0.135 0.123 0.112 0.102 0.092 0.057 0.036 0.022 0.014 0.009 10% 0.901 0.812 0.731 0.659 0.593 0.535 0.482 0.434 0.391 0.352 0.317 0.286 0.258 0.232 0.209 0.188 0.170 0.153 0.138 0.124 0.112 0.101 0.091 0.082 0.074 0.044 0.026 0.015 0.009 0.005 11% 0.893 0.797 0.712 0.636 0.567 0.507 0.452 0.404 0.361 0.322 0.287 0.257 0.229 0.205 0.183 0.163 0.146 0.130 0.116 0.104 0.093 0.083 0.074 0.066 0.059 0.033 0.019 0.011 0.006 0.003 12% 0.885 0.783 0.693 0.613 0.543 0.480 0.425 0.376 0.333 0.295 0.261 0.231 0.204 0.181 0.160 0.141 0.125 0.111 0.098 0.087 0.077 0.068 0.060 0.053 0.047 0.026 0.014 0.008 0.004 0.002 13% 0.877 0.769 0.675 0.592 0.519 0.456 0.400 0.351 0.308 0.270 0.237 0.208 0.182 0.160 0.140 0.123 0.108 0.095 0.083 0.073 0.064 0.056 0.049 0.043 0.038 0.020 0.010 0.005 0.003 0.001 14% 0.870 0.756 0.658 0.572 0.497 0.432 0.376 0.327 0.284 0.247 0.215 0.187 0.163 0.141 0.123 0.107 0.093 0.081 0.070 0.061 0.053 0.046 0.040 0.035 0.030 0.015 0.008 0.004 0.002 0.001 15% 26-S2374-APAB 2/24/03 4:22 PM Page T-5 Appendix A: Financial Tables T-5 https://fb.com/tailieudientucntt 0.862 0.743 0.641 0.552 0.476 0.410 0.354 0.305 0.263 0.227 0.195 0.168 0.145 0.125 0.108 0.093 0.080 0.069 0.060 0.051 0.044 0.038 0.033 0.028 0.024 0.012 0.006 0.003 0.001 0.001 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 30 35 40 45 50 0.855 0.731 0.624 0.534 0.456 0.390 0.333 0.285 0.243 0.208 0.178 0.152 0.130 0.111 0.095 0.081 0.069 0.059 0.051 0.043 0.037 0.032 0.027 0.023 0.020 0.009 0.004 0.002 0.001 * 17% 0.847 0.718 0.609 0.516 0.437 0.370 0.314 0.266 0.225 0.191 0.162 0.137 0.116 0.099 0.084 0.071 0.060 0.051 0.043 0.037 0.031 0.026 0.022 0.019 0.016 0.007 0.003 0.001 0.001 * 18% 0.840 0.706 0.593 0.499 0.419 0.352 0.296 0.249 0.209 0.176 0.148 0.124 0.104 0.088 0.074 0.062 0.052 0.044 0.037 0.031 0.026 0.022 0.018 0.015 0.013 0.005 0.002 0.001 * * 19% 0.833 0.694 0.579 0.482 0.402 0.335 0.279 0.233 0.194 0.162 0.135 0.112 0.093 0.078 0.065 0.054 0.045 0.038 0.031 0.026 0.022 0.018 0.015 0.013 0.010 0.004 0.002 0.001 * * 20% 0.826 0.683 0.564 0.467 0.386 0.319 0.263 0.218 0.180 0.149 0.123 0.102 0.084 0.069 0.057 0.047 0.039 0.032 0.027 0.022 0.018 0.015 0.012 0.010 0.009 0.003 0.001 * * * 21% 0.820 0.672 0.551 0.451 0.370 0.303 0.249 0.204 0.167 0.137 0.112 0.092 0.075 0.062 0.051 0.042 0.034 0.028 0.023 0.019 0.015 0.013 0.010 0.008 0.007 0.003 0.001 * * * 22% 0.813 0.661 0.537 0.437 0.355 0.289 0.235 0.191 0.155 0.126 0.103 0.083 0.068 0.055 0.045 0.036 0.030 0.024 0.020 0.016 0.013 0.011 0.009 0.007 0.006 0.002 0.001 * * * 23% 0.806 0.650 0.524 0.423 0.341 0.275 0.222 0.179 0.144 0.116 0.094 0.076 0.061 0.049 0.040 0.032 0.026 0.021 0.017 0.014 0.011 0.009 0.007 0.006 0.005 0.002 0.001 * * * 24% 0.800 0.640 0.512 0.410 0.328 0.262 0.210 0.168 0.134 0.107 0.086 0.069 0.055 0.044 0.035 0.028 0.023 0.018 0.014 0.012 0.009 0.007 0.006 0.005 0.004 0.001 * * * * 25% 0.794 0.630 0.500 0.397 0.315 0.250 0.198 0.157 0.125 0.099 0.079 0.062 0.050 0.039 0.031 0.025 0.020 0.016 0.012 0.010 0.008 0.006 0.005 0.004 0.003 0.001 * * * * 26% 0.787 0.620 0.488 0.384 0.303 0.238 0.188 0.148 0.116 0.092 0.072 0.057 0.045 0.035 0.028 0.022 0.017 0.014 0.011 0.008 0.007 0.005 0.004 0.003 0.003 0.001 * * * * 27% T-6 CuuDuongThanCong.com https://fb.com/tailieudientucntt * PVF is zero to three decimal places 16% Period PVFr%,n ϭ 1/(1 ϩ r)n Table A2 (continued ) Present Value Factors for One Dollar Discounted at r Percent for n Periods 26-S2374-APAB 2/24/03 4:22 PM Page T-6 Appendix A: Financial Tables CuuDuongThanCong.com https://fb.com/tailieudientucntt 0.781 0.610 0.477 0.373 0.291 0.227 0.178 0.139 0.108 0.085 0.066 0.052 0.040 0.032 0.025 0.019 0.015 0.012 0.009 0.007 0.006 0.004 0.003 0.003 0.002 0.001 * * * * 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 30 35 40 45 50 29% 0.775 0.601 0.466 0.361 0.280 0.217 0.168 0.130 0.101 0.078 0.061 0.047 0.037 0.028 0.022 0.017 0.013 0.010 0.008 0.006 0.005 0.004 0.003 0.002 0.002 * * * * * * PVF is zero to three decimal places 28% Period Table A2 (continued ) 0.769 0.592 0.455 0.350 0.269 0.207 0.159 0.123 0.094 0.073 0.056 0.043 0.033 0.025 0.020 0.015 0.012 0.009 0.007 0.005 0.004 0.003 0.002 0.002 0.001 * * * * * 30% 0.763 0.583 0.445 0.340 0.259 0.198 0.151 0.115 0.088 0.067 0.051 0.039 0.030 0.023 0.017 0.013 0.010 0.008 0.006 0.005 0.003 0.003 0.002 0.002 0.001 * * * * * 31% 0.758 0.574 0.435 0.329 0.250 0.189 0.143 0.108 0.082 0.062 0.047 0.036 0.027 0.021 0.016 0.012 0.009 0.007 0.005 0.004 0.003 0.002 0.002 0.001 0.001 * * * * * 32% 0.752 0.565 0.425 0.320 0.240 0.181 0.136 0.102 0.077 0.058 0.043 0.033 0.025 0.018 0.014 0.010 0.008 0.006 0.004 0.003 0.003 0.002 0.001 0.001 0.001 * * * * * 33% 0.746 0.557 0.416 0.310 0.231 0.173 0.129 0.096 0.072 0.054 0.040 0.030 0.022 0.017 0.012 0.009 0.007 0.005 0.004 0.003 0.002 0.002 0.001 0.001 0.001 * * * * * 34% 0.741 0.549 0.406 0.301 0.223 0.165 0.122 0.091 0.067 0.050 0.037 0.027 0.020 0.015 0.011 0.008 0.006 0.005 0.003 0.002 0.002 0.001 0.001 0.001 0.001 * * * * * 35% 0.714 0.510 0.364 0.260 0.186 0.133 0.095 0.068 0.048 0.035 0.025 0.018 0.013 0.009 0.006 0.005 0.003 0.002 0.002 0.001 0.001 0.001 * * * * * * * * 40% 0.690 0.476 0.328 0.226 0.156 0.108 0.074 0.051 0.035 0.024 0.017 0.012 0.008 0.006 0.004 0.003 0.002 0.001 0.001 0.001 * * * * * * * * * * 45% 0.667 0.444 0.296 0.198 0.132 0.088 0.059 0.039 0.026 0.017 0.012 0.008 0.005 0.003 0.002 0.002 0.001 0.001 * * * * * * * * * * * * 50% 26-S2374-APAB 2/24/03 4:22 PM Page T-7 Appendix A: Financial Tables T-7 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 30 35 40 45 50 Period 1.000 2.010 3.030 4.060 5.101 6.152 7.214 8.286 9.369 10.462 11.567 12.683 13.809 14.947 16.097 17.258 18.430 19.615 20.811 22.019 23.239 24.472 25.716 26.973 28.243 34.785 41.660 48.886 56.481 64.463 1% 3% 1.000 1.000 2.020 2.030 3.060 3.091 4.122 4.184 5.204 5.309 6.308 6.468 7.434 7.662 8.583 8.892 9.755 10.159 10.950 11.464 12.169 12.808 13.412 14.192 14.680 15.618 15.974 17.086 17.293 18.599 18.639 20.157 20.012 21.762 21.412 23.414 22.841 25.117 24.297 26.870 25.783 28.676 27.299 30.537 28.845 32.453 30.422 34.426 32.030 36.459 40.568 47.575 49.994 60.462 60.402 75.401 71.893 92.720 84.579 112.797 2% 5% 6% 7% 1.000 1.000 1.000 1.000 2.040 2.050 2.060 2.070 3.122 3.153 3.184 3.215 4.246 4.310 4.375 4.440 5.416 5.526 5.637 5.751 6.633 6.802 6.975 7.153 7.898 8.142 8.394 8.654 9.214 9.549 9.897 10.260 10.583 11.027 11.491 11.978 12.006 12.578 13.181 13.816 13.486 14.207 14.972 15.784 15.026 15.917 16.870 17.888 16.627 17.713 18.882 20.141 18.292 19.599 21.015 22.550 20.024 21.579 23.276 25.129 21.825 23.657 25.673 27.888 23.698 25.840 28.213 30.840 25.645 28.132 30.906 33.999 27.671 30.539 33.760 37.379 29.778 33.066 36.786 40.995 31.969 35.719 39.993 44.865 34.248 38.505 43.392 49.006 36.618 41.430 46.996 53.436 39.083 44.502 50.816 58.177 41.646 47.727 54.865 63.249 56.085 66.439 79.058 94.461 73.652 90.320 111.435 138.237 95.026 120.800 154.762 199.635 121.029 159.700 212.744 285.749 152.667 209.348 290.336 406.529 4% 1.000 2.080 3.246 4.506 5.867 7.336 8.923 10.637 12.488 14.487 16.645 18.977 21.495 24.215 27.152 30.324 33.750 37.450 41.446 45.762 50.423 55.457 60.893 66.765 73.106 113.283 172.317 259.057 386.506 573.770 8% Table A3 Future Value Factors for a One-Dollar Ordinary Annuity Compounded at r Percent for n Periods 11 ϩ r2 n Ϫ FVFAr %,n ϭ PMT ϫ r 1.000 2.090 3.278 4.573 5.985 7.523 9.200 11.028 13.021 15.193 17.560 20.141 22.953 26.019 29.361 33.003 36.974 41.301 46.018 51.160 56.765 62.873 69.532 76.790 84.701 136.308 215.711 337.882 525.859 815.084 9% 11% 12% 13% 14% 15% 1.000 1.000 1.000 1.000 1.000 1.000 2.100 2.110 2.120 2.130 2.140 2.150 3.310 3.342 3.374 3.407 3.440 3.473 4.641 4.710 4.779 4.850 4.921 4.993 6.105 6.228 6.353 6.480 6.610 6.742 7.716 7.913 8.115 8.323 8.536 8.754 9.487 9.783 10.089 10.405 10.730 11.067 11.436 11.859 12.300 12.757 13.233 13.727 13.579 14.164 14.776 15.416 16.085 16.786 15.937 16.722 17.549 18.420 19.337 20.304 18.531 19.561 20.655 21.814 23.045 24.349 21.384 22.713 24.133 25.650 27.271 29.002 24.523 26.212 28.029 29.985 32.089 34.352 27.975 30.095 32.393 34.883 37.581 40.505 31.772 34.405 37.280 40.417 43.842 47.580 35.950 39.190 42.753 46.672 50.980 55.717 40.545 44.501 48.884 53.739 59.118 65.075 45.599 50.396 55.750 61.725 68.394 75.836 51.159 56.939 63.440 70.749 78.969 88.212 57.275 64.203 72.052 80.947 91.025 102.444 64.002 72.265 81.699 92.470 104.768 118.810 71.403 81.214 92.503 105.491 120.436 137.632 79.543 91.148 104.603 120.205 138.297 159.276 88.497 102.174 118.155 136.831 158.659 184.168 98.347 114.413 133.334 155.620 181.871 212.793 164.494 199.021 241.333 293.199 356.787 434.745 271.024 341.590 431.663 546.681 693.573 881.170 442.593 581.826 767.091 1013.704 1342.025 1779.090 718.905 986.639 1358.230 1874.165 2590.565 3585.128 1163.909 1668.771 2400.018 3459.507 4994.521 7217.716 10% 26-S2374-APAB 2/24/03 4:22 PM Page T-8 T-8 Appendix A: Financial Tables CuuDuongThanCong.com https://fb.com/tailieudientucntt CuuDuongThanCong.com 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 30 35 40 45 50 Period 17% 18% 19% 20% 21% 22% 23% 24% 25% 26% 27% 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 2.160 2.170 2.180 2.190 2.200 2.210 2.220 2.230 2.240 2.250 2.260 2.270 3.506 3.539 3.572 3.606 3.640 3.674 3.708 3.743 3.778 3.813 3.848 3.883 5.066 5.141 5.215 5.291 5.368 5.446 5.524 5.604 5.684 5.766 5.848 5.931 6.877 7.014 7.154 7.297 7.442 7.589 7.740 7.893 8.048 8.207 8.368 8.533 8.977 9.207 9.442 9.683 9.930 10.183 10.442 10.708 10.980 11.259 11.544 11.837 11.414 11.772 12.142 12.523 12.916 13.321 13.740 14.171 14.615 15.073 15.546 16.032 14.240 14.773 15.327 15.902 16.499 17.119 17.762 18.430 19.123 19.842 20.588 21.361 17.519 18.285 19.086 19.923 20.799 21.714 22.670 23.669 24.712 25.802 26.940 28.129 21.321 22.393 23.521 24.709 25.959 27.274 28.657 30.113 31.643 33.253 34.945 36.723 25.733 27.200 28.755 30.404 32.150 34.001 35.962 38.039 40.238 42.566 45.031 47.639 30.850 32.824 34.931 37.180 39.581 42.142 44.874 47.788 50.895 54.208 57.739 61.501 36.786 39.404 42.219 45.244 48.497 51.991 55.746 59.779 64.110 68.760 73.751 79.107 43.672 47.103 50.818 54.841 59.196 63.909 69.010 74.528 80.496 86.949 93.926 101.465 51.660 56.110 60.965 66.261 72.035 78.330 85.192 92.669 100.815 109.687 119.347 129.861 60.925 66.649 72.939 79.850 87.442 95.780 104.935 114.983 126.011 138.109 151.377 165.924 71.673 78.979 87.068 96.022 105.931 116.894 129.020 142.430 157.253 173.636 191.735 211.723 84.141 93.406 103.740 115.266 128.117 142.441 158.405 176.188 195.994 218.045 242.585 269.888 98.603 110.285 123.414 138.166 154.740 173.354 194.254 217.712 244.033 273.556 306.658 343.758 115.380 130.033 146.628 165.418 186.688 210.758 237.989 268.785 303.601 342.945 387.389 437.573 134.841 153.139 174.021 197.847 225.026 256.018 291.347 331.606 377.465 429.681 489.110 556.717 157.415 180.172 206.345 236.438 271.031 310.781 356.443 408.875 469.056 538.101 617.278 708.031 183.601 211.801 244.487 282.362 326.237 377.045 435.861 503.917 582.630 673.626 778.771 900.199 213.978 248.808 289.494 337.010 392.484 457.225 532.750 620.817 723.461 843.033 982.251 1144.253 249.214 292.105 342.603 402.042 471.981 554.242 650.955 764.605 898.092 1054.791 1238.636 1454.201 530.312 647.439 790.948 966.712 1181.882 1445.151 1767.081 2160.491 2640.916 3227.174 3942.026 4812.977 1120.713 1426.491 1816.652 2314.214 2948.341 3755.938 4783.645 6090.334 7750.225 9856.761 12527.442 15909.824 2360.757 3134.522 4163.213 5529.829 7343.858 9749.525 12936.535 17154.046 22728.803 30088.655 39792.982 52571.998 4965.274 6879.291 9531.577 13203.424 18281.310 25295.346 34971.419 48301.775 66640.376 91831.496 126382.798 173697.840 10435.649 15089.502 21813.094 31515.336 45497.191 65617.202 94525.279 135992.154 195372.644 280255.693 401374.471 573877.874 16% Table A3 (continued ) 26-S2374-APAB 2/24/03 4:22 PM Page T-9 Appendix A: Financial Tables T-9 https://fb.com/tailieudientucntt CuuDuongThanCong.com https://fb.com/tailieudientucntt CuuDuongThanCong.com 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 30 35 40 45 50 Period 0.990 1.970 2.941 3.902 4.853 5.795 6.728 7.652 8.566 9.471 10.368 11.255 12.134 13.004 13.865 14.718 15.562 16.398 17.226 18.046 18.857 19.660 20.456 21.243 22.023 25.808 29.409 32.835 36.095 39.196 1% 0.980 1.942 2.884 3.808 4.713 5.601 6.472 7.325 8.162 8.983 9.787 10.575 11.348 12.106 12.849 13.578 14.292 14.992 15.678 16.351 17.011 17.658 18.292 18.914 19.523 22.396 24.999 27.355 29.490 31.424 2% 0.971 1.913 2.829 3.717 4.580 5.417 6.230 7.020 7.786 8.530 9.253 9.954 10.635 11.296 11.938 12.561 13.166 13.754 14.324 14.877 15.415 15.937 16.444 16.936 17.413 19.600 21.487 23.115 24.519 25.730 3% 4% 0.952 1.859 2.723 3.546 4.329 5.076 5.786 6.463 7.108 7.722 8.306 8.863 9.394 9.899 10.380 10.838 11.274 11.690 12.085 12.462 12.821 13.163 13.489 13.799 14.094 15.372 16.374 17.159 17.774 18.256 5% 6% 0.943 1.833 2.673 3.465 4.212 4.917 5.582 6.210 6.802 7.360 7.887 8.384 8.853 9.295 9.712 10.106 10.477 10.828 11.158 11.470 11.764 12.042 12.303 12.550 12.783 13.765 14.498 15.046 15.456 15.762 PMT d ϫ c1 Ϫ r 11 ϩ r2 n 0.962 1.886 2.775 3.630 4.452 5.242 6.002 6.733 7.435 8.111 8.760 9.385 9.986 10.563 11.118 11.652 12.166 12.659 13.134 13.590 14.029 14.451 14.857 15.247 15.622 17.292 18.665 19.793 20.720 21.482 PVFA r %,n ϭ 0.935 1.808 2.624 3.387 4.100 4.767 5.389 5.971 6.515 7.024 7.499 7.943 8.358 8.745 9.108 9.447 9.763 10.059 10.336 10.594 10.836 11.061 11.272 11.469 11.654 12.409 12.948 13.332 13.606 13.801 7% 0.926 1.783 2.577 3.312 3.993 4.623 5.206 5.747 6.247 6.710 7.139 7.536 7.904 8.244 8.559 8.851 9.122 9.372 9.604 9.818 10.017 10.201 10.371 10.529 10.675 11.258 11.655 11.925 12.108 12.233 8% Table A4 Present Value Factors for a One-Dollar Ordinary Annuity Discounted at r Percent for n Periods 0.917 1.759 2.531 3.240 3.890 4.486 5.033 5.535 5.995 6.418 6.805 7.161 7.487 7.786 8.061 8.313 8.544 8.756 8.950 9.129 9.292 9.442 9.580 9.707 9.823 10.274 10.567 10.757 10.881 10.962 9% 0.909 1.736 2.487 3.170 3.791 4.355 4.868 5.335 5.759 6.145 6.495 6.814 7.103 7.367 7.606 7.824 8.022 8.201 8.365 8.514 8.649 8.772 8.883 8.985 9.077 9.427 9.644 9.779 9.863 9.915 10% 0.901 1.713 2.444 3.102 3.696 4.231 4.712 5.146 5.537 5.889 6.207 6.492 6.750 6.982 7.191 7.379 7.549 7.702 7.839 7.963 8.075 8.176 8.266 8.348 8.422 8.694 8.855 8.951 9.008 9.042 11% 0.893 1.690 2.402 3.037 3.605 4.111 4.564 4.968 5.328 5.650 5.938 6.194 6.424 6.628 6.811 6.974 7.120 7.250 7.366 7.469 7.562 7.645 7.718 7.784 7.843 8.055 8.176 8.244 8.283 8.304 12% 0.885 1.668 2.361 2.974 3.517 3.998 4.423 4.799 5.132 5.426 5.687 5.918 6.122 6.302 6.462 6.604 6.729 6.840 6.938 7.025 7.102 7.170 7.230 7.283 7.330 7.496 7.586 7.634 7.661 7.675 13% 0.877 1.647 2.322 2.914 3.433 3.889 4.288 4.639 4.946 5.216 5.453 5.660 5.842 6.002 6.142 6.265 6.373 6.467 6.550 6.623 6.687 6.743 6.792 6.835 6.873 7.003 7.070 7.105 7.123 7.133 14% 0.870 1.626 2.283 2.855 3.352 3.784 4.160 4.487 4.772 5.019 5.234 5.421 5.583 5.724 5.847 5.954 6.047 6.128 6.198 6.259 6.312 6.359 6.399 6.434 6.464 6.566 6.617 6.642 6.654 6.661 15% 26-S2374-APAB 2/24/03 4:22 PM Page T-11 Appendix A: Financial Tables T-11 https://fb.com/tailieudientucntt 16% 0.862 1.605 2.246 2.798 3.274 3.685 4.039 4.344 4.607 4.833 5.029 5.197 5.342 5.468 5.575 5.668 5.749 5.818 5.877 5.929 5.973 6.011 6.044 6.073 6.097 6.177 6.215 6.233 6.242 6.246 Period 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 30 35 40 45 50 0.855 1.585 2.210 2.743 3.199 3.589 3.922 4.207 4.451 4.659 4.836 4.988 5.118 5.229 5.324 5.405 5.475 5.534 5.584 5.628 5.665 5.696 5.723 5.746 5.766 5.829 5.858 5.871 5.877 5.880 17% 0.847 1.566 2.174 2.690 3.127 3.498 3.812 4.078 4.303 4.494 4.656 4.793 4.910 5.008 5.092 5.162 5.222 5.273 5.316 5.353 5.384 5.410 5.432 5.451 5.467 5.517 5.539 5.548 5.552 5.554 0.840 1.547 2.140 2.639 3.058 3.410 3.706 3.954 4.163 4.339 4.486 4.611 4.715 4.802 4.876 4.938 4.990 5.033 5.070 5.101 5.127 5.149 5.167 5.182 5.195 5.235 5.251 5.258 5.261 5.262 19% PMT d ϫ c1 Ϫ r 11 ϩ r2 n 18% PVFA r %,n ϭ 0.833 1.528 2.106 2.589 2.991 3.326 3.605 3.837 4.031 4.192 4.327 4.439 4.533 4.611 4.675 4.730 4.775 4.812 4.843 4.870 4.891 4.909 4.925 4.937 4.948 4.979 4.992 4.997 4.999 4.999 20% 0.826 1.509 2.074 2.540 2.926 3.245 3.508 3.726 3.905 4.054 4.177 4.278 4.362 4.432 4.489 4.536 4.576 4.608 4.635 4.657 4.675 4.690 4.703 4.713 4.721 4.746 4.756 4.760 4.761 4.762 21% Table A4 (continued ) Present Value Factors for a One-Dollar Ordinary Annuity Discounted at r Percent for n Periods 0.820 1.492 2.042 2.494 2.864 3.167 3.416 3.619 3.786 3.923 4.035 4.127 4.203 4.265 4.315 4.357 4.391 4.419 4.442 4.460 4.476 4.488 4.499 4.507 4.514 4.534 4.541 4.544 4.545 4.545 22% 0.813 1.474 2.011 2.448 2.803 3.092 3.327 3.518 3.673 3.799 3.902 3.985 4.053 4.108 4.153 4.189 4.219 4.243 4.263 4.279 4.292 4.302 4.311 4.318 4.323 4.339 4.345 4.347 4.347 4.348 23% 0.806 1.457 1.981 2.404 2.745 3.020 3.242 3.421 3.566 3.682 3.776 3.851 3.912 3.962 4.001 4.033 4.059 4.080 4.097 4.110 4.121 4.130 4.137 4.143 4.147 4.160 4.164 4.166 4.166 4.167 24% 0.800 1.440 1.952 2.362 2.689 2.951 3.161 3.329 3.463 3.571 3.656 3.725 3.780 3.824 3.859 3.887 3.910 3.928 3.942 3.954 3.963 3.970 3.976 3.981 3.985 3.995 3.998 3.999 4.000 4.000 25% 0.794 1.424 1.923 2.320 2.635 2.885 3.083 3.241 3.366 3.465 3.543 3.606 3.656 3.695 3.726 3.751 3.771 3.786 3.799 3.808 3.816 3.822 3.827 3.831 3.834 3.842 3.845 3.846 3.846 3.846 26% 0.787 1.407 1.896 2.280 2.583 2.821 3.009 3.156 3.273 3.364 3.437 3.493 3.538 3.573 3.601 3.623 3.640 3.654 3.664 3.673 3.679 3.684 3.689 3.692 3.694 3.701 3.703 3.703 3.704 3.704 27% 26-S2374-APAB 2/24/03 4:22 PM Page T-12 T-12 Appendix A: Financial Tables CuuDuongThanCong.com https://fb.com/tailieudientucntt 28% 0.781 1.392 1.868 2.241 2.532 2.759 2.937 3.076 3.184 3.269 3.335 3.387 3.427 3.459 3.483 3.503 3.518 3.529 3.539 3.546 3.551 3.556 3.559 3.562 3.564 3.569 3.571 3.571 3.571 3.571 Period 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 30 35 40 45 50 Table A4 (continued ) CuuDuongThanCong.com 0.775 1.376 1.842 2.203 2.483 2.700 2.868 2.999 3.100 3.178 3.239 3.286 3.322 3.351 3.373 3.390 3.403 3.413 3.421 3.427 3.432 3.436 3.438 3.441 3.442 3.447 3.448 3.448 3.448 3.448 29% 0.769 1.361 1.816 2.166 2.436 2.643 2.802 2.925 3.019 3.092 3.147 3.190 3.223 3.249 3.268 3.283 3.295 3.304 3.311 3.316 3.320 3.323 3.325 3.327 3.329 3.332 3.333 3.333 3.333 3.333 30% 0.763 1.346 1.791 2.130 2.390 2.588 2.739 2.854 2.942 3.009 3.060 3.100 3.129 3.152 3.170 3.183 3.193 3.201 3.207 3.211 3.215 3.217 3.219 3.221 3.222 3.225 3.226 3.226 3.226 3.226 31% 0.758 1.331 1.766 2.096 2.345 2.534 2.677 2.786 2.868 2.930 2.978 3.013 3.040 3.061 3.076 3.088 3.097 3.104 3.109 3.113 3.116 3.118 3.120 3.121 3.122 3.124 3.125 3.125 3.125 3.125 32% 0.752 1.317 1.742 2.062 2.302 2.483 2.619 2.721 2.798 2.855 2.899 2.931 2.956 2.974 2.988 2.999 3.007 3.012 3.017 3.020 3.023 3.025 3.026 3.027 3.028 3.030 3.030 3.030 3.030 3.030 33% 0.746 1.303 1.719 2.029 2.260 2.433 2.562 2.658 2.730 2.784 2.824 2.853 2.876 2.892 2.905 2.914 2.921 2.926 2.930 2.933 2.935 2.936 2.938 2.939 2.939 2.941 2.941 2.941 2.941 2.941 34% 0.741 1.289 1.696 1.997 2.220 2.385 2.508 2.598 2.665 2.715 2.752 2.779 2.799 2.814 2.825 2.834 2.840 2.844 2.848 2.850 2.852 2.853 2.854 2.855 2.856 2.857 2.857 2.857 2.857 2.857 35% 0.714 1.224 1.589 1.849 2.035 2.168 2.263 2.331 2.379 2.414 2.438 2.456 2.469 2.478 2.484 2.489 2.492 2.494 2.496 2.497 2.498 2.498 2.499 2.499 2.499 2.500 2.500 2.500 2.500 2.500 40% 0.690 1.165 1.493 1.720 1.876 1.983 2.057 2.109 2.144 2.168 2.185 2.196 2.204 2.210 2.214 2.216 2.218 2.219 2.220 2.221 2.221 2.222 2.222 2.222 2.222 2.222 2.222 2.222 2.222 2.222 45% 0.667 1.111 1.407 1.605 1.737 1.824 1.883 1.922 1.948 1.965 1.977 1.985 1.990 1.993 1.995 1.997 1.998 1.999 1.999 1.999 2.000 2.000 2.000 2.000 2.000 2.000 2.000 2.000 2.000 2.000 50% 26-S2374-APAB 2/24/03 4:22 PM Page T-13 Appendix A: Financial Tables T-13 https://fb.com/tailieudientucntt 1% 1.010 1.020 1.030 1.041 1.051 1.062 1.073 1.083 1.094 1.105 1.116 1.127 1.139 1.150 1.162 1.174 1.185 1.197 1.209 1.221 1.234 1.246 1.259 1.271 1.284 1.350 1.419 1.492 1.568 1.649 Period 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 30 35 40 45 50 1.020 1.041 1.062 1.083 1.105 1.127 1.150 1.174 1.197 1.221 1.246 1.271 1.297 1.323 1.350 1.377 1.405 1.433 1.462 1.492 1.522 1.553 1.584 1.616 1.649 1.822 2.014 2.226 2.460 2.718 2% 1.030 1.062 1.094 1.127 1.162 1.197 1.234 1.271 1.310 1.350 1.391 1.433 1.477 1.522 1.568 1.616 1.665 1.716 1.768 1.822 1.878 1.935 1.994 2.054 2.117 2.460 2.858 3.320 3.857 4.482 3% 4% 1.041 1.083 1.127 1.174 1.221 1.271 1.323 1.377 1.433 1.492 1.553 1.616 1.682 1.751 1.822 1.896 1.974 2.054 2.138 2.226 2.316 2.411 2.509 2.612 2.718 3.320 4.055 4.953 6.050 7.389 FVFr%,n ϭ ern 1.051 1.105 1.162 1.221 1.284 1.350 1.419 1.492 1.568 1.649 1.733 1.822 1.916 2.014 2.117 2.226 2.340 2.460 2.586 2.718 2.858 3.004 3.158 3.320 3.490 4.482 5.755 7.389 9.488 12.182 5% 1.062 1.127 1.197 1.271 1.350 1.433 1.522 1.616 1.716 1.822 1.935 2.054 2.181 2.316 2.460 2.612 2.773 2.945 3.127 3.320 3.525 3.743 3.975 4.221 4.482 6.050 8.166 11.023 14.880 20.086 6% 1.073 1.150 1.234 1.323 1.419 1.522 1.632 1.751 1.878 2.014 2.160 2.316 2.484 2.664 2.858 3.065 3.287 3.525 3.781 4.055 4.349 4.665 5.003 5.366 5.755 8.166 11.588 16.445 23.336 33.115 7% 8% 1.083 1.174 1.271 1.377 1.492 1.616 1.751 1.896 2.054 2.226 2.411 2.612 2.829 3.065 3.320 3.597 3.896 4.221 4.572 4.953 5.366 5.812 6.297 6.821 7.389 11.023 16.445 24.533 36.598 54.598 Table A5 Future Value Factor for One Dollar Compounded Continuously at r Percent for n Periods 10% 1.094 1.105 1.197 1.221 1.310 1.350 1.433 1.492 1.568 1.649 1.716 1.822 1.878 2.014 2.054 2.226 2.248 2.460 2.460 2.718 2.691 3.004 2.945 3.320 3.222 3.669 3.525 4.055 3.857 4.482 4.221 4.953 4.618 5.474 5.053 6.050 5.529 6.686 6.050 7.389 6.619 8.166 7.243 9.025 7.925 9.974 8.671 11.023 9.488 12.182 14.880 20.086 23.336 33.115 36.598 54.598 57.397 90.017 90.017 148.413 9% 1.116 1.246 1.391 1.553 1.733 1.935 2.160 2.411 2.691 3.004 3.353 3.743 4.179 4.665 5.207 5.812 6.488 7.243 8.085 9.025 10.074 11.246 12.554 14.013 15.643 27.113 46.993 81.451 141.175 244.692 11% 1.127 1.271 1.433 1.616 1.822 2.054 2.316 2.612 2.945 3.320 3.743 4.221 4.759 5.366 6.050 6.821 7.691 8.671 9.777 11.023 12.429 14.013 15.800 17.814 20.086 36.598 66.686 121.510 221.406 403.429 12% 14% 1.139 1.150 1.297 1.323 1.477 1.522 1.682 1.751 1.916 2.014 2.181 2.316 2.484 2.664 2.829 3.065 3.222 3.525 3.669 4.055 4.179 4.665 4.759 5.366 5.419 6.172 6.172 7.099 7.029 8.166 8.004 9.393 9.116 10.805 10.381 12.429 11.822 14.296 13.464 16.445 15.333 18.916 17.462 21.758 19.886 25.028 22.646 28.789 25.790 33.115 49.402 66.686 94.632 134.290 181.272 270.426 347.234 544.572 665.142 1096.633 13% 1.162 1.350 1.568 1.822 2.117 2.460 2.858 3.320 3.857 4.482 5.207 6.050 7.029 8.166 9.488 11.023 12.807 14.880 17.288 20.086 23.336 27.113 31.500 36.598 42.521 90.017 190.566 403.429 854.059 1808.042 15% 26-S2374-APAB 2/24/03 4:22 PM Page T-14 T-14 Appendix A: Financial Tables CuuDuongThanCong.com https://fb.com/tailieudientucntt 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 30 35 40 45 50 Period 1.174 1.377 1.616 1.896 2.226 2.612 3.065 3.597 4.221 4.953 5.812 6.821 8.004 9.393 11.023 12.936 15.180 17.814 20.905 24.533 28.789 33.784 39.646 46.525 54.598 121.510 270.426 601.845 1339.431 2980.958 16% 17% 1.185 1.405 1.665 1.974 2.340 2.773 3.287 3.896 4.618 5.474 6.488 7.691 9.116 10.805 12.807 15.180 17.993 21.328 25.280 29.964 35.517 42.098 49.899 59.145 70.105 164.022 383.753 897.847 2100.646 4914.769 Table A5 (continued ) 19% 20% 21% 22% 23% 1.197 1.209 1.221 1.234 1.246 1.259 1.433 1.462 1.492 1.522 1.553 1.584 1.716 1.768 1.822 1.878 1.935 1.994 2.054 2.138 2.226 2.316 2.411 2.509 2.460 2.586 2.718 2.858 3.004 3.158 2.945 3.127 3.320 3.525 3.743 3.975 3.525 3.781 4.055 4.349 4.665 5.003 4.221 4.572 4.953 5.366 5.812 6.297 5.053 5.529 6.050 6.619 7.243 7.925 6.050 6.686 7.389 8.166 9.025 9.974 7.243 8.085 9.025 10.074 11.246 12.554 8.671 9.777 11.023 12.429 14.013 15.800 10.381 11.822 13.464 15.333 17.462 19.886 12.429 14.296 16.445 18.916 21.758 25.028 14.880 17.288 20.086 23.336 27.113 31.500 17.814 20.905 24.533 28.789 33.784 39.646 21.328 25.280 29.964 35.517 42.098 49.899 25.534 30.569 36.598 43.816 52.457 62.803 30.569 36.966 44.701 54.055 65.366 79.044 36.598 44.701 54.598 66.686 81.451 99.484 43.816 54.055 66.686 82.269 101.494 125.211 52.457 65.366 81.451 101.494 126.469 157.591 62.803 79.044 99.484 125.211 157.591 198.343 75.189 95.583 121.510 154.470 196.370 249.635 90.017 115.584 148.413 190.566 244.692 314.191 221.406 298.867 403.429 544.572 735.095 992.275 544.572 772.784 1096.633 1556.197 2208.348 3133.795 1339.431 1998.196 2980.958 4447.067 6634.244 9897.129 3294.468 5166.754 8103.084 12708.165 19930.370 31257.043 8103.084 13359.727 22026.466 36315.503 59874.142 98715.771 18% 1.271 1.616 2.054 2.612 3.320 4.221 5.366 6.821 8.671 11.023 14.013 17.814 22.646 28.789 36.598 46.525 59.145 75.189 95.583 121.510 154.470 196.370 249.635 317.348 403.429 1339.431 4447.067 14764.782 49020.801 162754.791 24% 1.284 1.649 2.117 2.718 3.490 4.482 5.755 7.389 9.488 12.182 15.643 20.086 25.790 33.115 42.521 54.598 70.105 90.017 115.584 148.413 190.566 244.692 314.191 403.429 518.013 1808.042 6310.688 22026.466 76879.920 268337.287 25% 1.297 1.682 2.181 2.829 3.669 4.759 6.172 8.004 10.381 13.464 17.462 22.646 29.371 38.092 49.402 64.072 83.096 107.770 139.770 181.272 235.097 304.905 395.440 512.859 665.142 2440.602 8955.293 32859.626 120571.715 442413.392 26% 1.310 1.716 2.248 2.945 3.857 5.053 6.619 8.671 11.359 14.880 19.492 25.534 33.448 43.816 57.397 75.189 98.494 129.024 169.017 221.406 290.035 379.935 497.701 651.971 854.059 3294.468 12708.165 49020.801 189094.090 729416.370 27% 26-S2374-APAB 2/24/03 4:22 PM Page T-15 Appendix A: Financial Tables CuuDuongThanCong.com T-15 https://fb.com/tailieudientucntt 1.323 1.751 2.316 3.065 4.055 5.366 7.099 9.393 12.429 16.445 21.758 28.789 38.092 50.400 66.686 88.235 116.746 154.470 204.384 270.426 357.809 473.428 626.407 828.818 1096.633 4447.067 18033.745 73130.442 296558.565 * 28% 1.336 1.786 2.387 3.190 4.263 5.697 7.614 10.176 13.599 18.174 24.288 32.460 43.380 57.974 77.478 103.544 138.380 184.934 247.151 330.300 441.421 589.928 788.396 1053.634 1408.105 6002.912 25591.102 109097.799 465096.412 * 29% 1.350 1.822 2.460 3.320 4.482 6.050 8.166 11.023 14.880 20.086 27.113 36.598 49.402 66.686 90.017 121.510 164.022 221.406 298.867 403.429 544.572 735.095 992.275 1339.431 1808.042 8103.084 36315.503 162754.791 729416.370 * 30% 1.363 1.859 2.535 3.456 4.711 6.424 8.758 11.941 16.281 22.198 30.265 41.264 56.261 76.708 104.585 142.594 194.416 265.072 361.405 492.749 671.826 915.985 1248.877 1702.750 2321.572 10938.019 51534.151 242801.617 * * 31% 1.377 1.896 2.612 3.597 4.953 6.821 9.393 12.936 17.814 24.533 33.784 46.525 64.072 88.235 121.510 167.335 230.442 317.348 437.029 601.845 828.818 1141.388 1571.837 2164.620 2980.958 14764.782 73130.442 362217.450 * * 32% 1.391 1.935 2.691 3.743 5.207 7.243 10.074 14.013 19.492 27.113 37.713 52.457 72.966 101.494 141.175 196.370 273.144 379.935 528.477 735.095 1022.494 1422.257 1978.314 2751.771 3827.626 19930.370 103777.037 540364.937 * * 33% 1.405 1.974 2.773 3.896 5.474 7.691 10.805 15.180 21.328 29.964 42.098 59.145 83.096 116.746 164.022 230.442 323.759 454.865 639.061 897.847 1261.428 1772.241 2489.905 3498.187 4914.769 26903.186 147266.625 806129.759 * * 34% 1.419 2.014 2.858 4.055 5.755 8.166 11.588 16.445 23.336 33.115 46.993 66.686 94.632 134.290 190.566 270.426 383.753 544.572 772.784 1096.633 1556.197 2208.348 3133.795 4447.067 6310.688 36315.503 208981.289 * * * 35% 1.492 2.226 3.320 4.953 7.389 11.023 16.445 24.533 36.598 54.598 81.451 121.510 181.272 270.426 403.429 601.845 897.847 1339.431 1998.196 2980.958 4447.067 6634.244 9897.129 14764.782 22026.466 162754.791 * * * * 40% 1.568 2.460 3.857 6.050 9.488 14.880 23.336 36.598 57.397 90.017 141.175 221.406 347.234 544.572 854.059 1339.431 2100.646 3294.468 5166.754 8103.084 12708.165 19930.370 31257.043 49020.801 76879.920 729416.370 * * * * 45% 1.649 2.718 4.482 7.389 12.182 20.086 33.115 54.598 90.017 148.413 244.692 403.429 665.142 1096.633 1808.042 2980.958 4914.769 8103.084 13359.727 22026.466 36315.503 59874.142 98715.771 162754.791 268337.287 50% T-16 CuuDuongThanCong.com https://fb.com/tailieudientucntt * Not shown due to space limitations 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 30 35 40 45 50 Period FVFr%,n ϭ ern Table A5 (continued ) Future Value Factor for One Dollar Compounded Continuously at r Percent for n Periods 26-S2374-APAB 2/24/03 4:22 PM Page T-16 Appendix A: Financial Tables 1% 0.990 0.980 0.970 0.961 0.951 0.942 0.932 0.923 0.914 0.905 0.896 0.887 0.878 0.869 0.861 0.852 0.844 0.835 0.827 0.819 0.811 0.803 0.795 0.787 0.779 0.741 0.705 0.670 0.638 0.607 Period 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 30 35 40 45 50 CuuDuongThanCong.com 0.980 0.961 0.942 0.923 0.905 0.887 0.869 0.852 0.835 0.819 0.803 0.787 0.771 0.756 0.741 0.726 0.712 0.698 0.684 0.670 0.657 0.644 0.631 0.619 0.607 0.549 0.497 0.449 0.407 0.368 2% 0.970 0.942 0.914 0.887 0.861 0.835 0.811 0.787 0.763 0.741 0.719 0.698 0.677 0.657 0.638 0.619 0.600 0.583 0.566 0.549 0.533 0.517 0.502 0.487 0.472 0.407 0.350 0.301 0.259 0.223 3% 4% 0.961 0.923 0.887 0.852 0.819 0.787 0.756 0.726 0.698 0.670 0.644 0.619 0.595 0.571 0.549 0.527 0.507 0.487 0.468 0.449 0.432 0.415 0.399 0.383 0.368 0.301 0.247 0.202 0.165 0.135 PVFr%,n ϭ eϪrn 0.951 0.905 0.861 0.819 0.779 0.741 0.705 0.670 0.638 0.607 0.577 0.549 0.522 0.497 0.472 0.449 0.427 0.407 0.387 0.368 0.350 0.333 0.317 0.301 0.287 0.223 0.174 0.135 0.105 0.082 5% 0.942 0.887 0.835 0.787 0.741 0.698 0.657 0.619 0.583 0.549 0.517 0.487 0.458 0.432 0.407 0.383 0.361 0.340 0.320 0.301 0.284 0.267 0.252 0.237 0.223 0.165 0.122 0.091 0.067 0.050 6% 0.932 0.869 0.811 0.756 0.705 0.657 0.613 0.571 0.533 0.497 0.463 0.432 0.403 0.375 0.350 0.326 0.304 0.284 0.264 0.247 0.230 0.214 0.200 0.186 0.174 0.122 0.086 0.061 0.043 0.030 7% Table A6 Present Value Factor for One Dollar Discounted Continuously at r Percent for n Periods 0.923 0.852 0.787 0.726 0.670 0.619 0.571 0.527 0.487 0.449 0.415 0.383 0.353 0.326 0.301 0.278 0.257 0.237 0.219 0.202 0.186 0.172 0.159 0.147 0.135 0.091 0.061 0.041 0.027 0.018 8% 0.914 0.835 0.763 0.698 0.638 0.583 0.533 0.487 0.445 0.407 0.372 0.340 0.310 0.284 0.259 0.237 0.217 0.198 0.181 0.165 0.151 0.138 0.126 0.115 0.105 0.067 0.043 0.027 0.017 0.011 9% 0.905 0.819 0.741 0.670 0.607 0.549 0.497 0.449 0.407 0.368 0.333 0.301 0.273 0.247 0.223 0.202 0.183 0.165 0.150 0.135 0.122 0.111 0.100 0.091 0.082 0.050 0.030 0.018 0.011 0.007 10% 0.896 0.803 0.719 0.644 0.577 0.517 0.463 0.415 0.372 0.333 0.298 0.267 0.239 0.214 0.192 0.172 0.154 0.138 0.124 0.111 0.099 0.089 0.080 0.071 0.064 0.037 0.021 0.012 0.007 0.004 11% 0.887 0.787 0.698 0.619 0.549 0.487 0.432 0.383 0.340 0.301 0.267 0.237 0.210 0.186 0.165 0.147 0.130 0.115 0.102 0.091 0.080 0.071 0.063 0.056 0.050 0.027 0.015 0.008 0.005 0.002 12% 0.878 0.771 0.677 0.595 0.522 0.458 0.403 0.353 0.310 0.273 0.239 0.210 0.185 0.162 0.142 0.125 0.110 0.096 0.085 0.074 0.065 0.057 0.050 0.044 0.039 0.020 0.011 0.006 0.003 0.002 13% 0.869 0.756 0.657 0.571 0.497 0.432 0.375 0.326 0.284 0.247 0.214 0.186 0.162 0.141 0.122 0.106 0.093 0.080 0.070 0.061 0.053 0.046 0.040 0.035 0.030 0.015 0.007 0.004 0.002 0.001 14% 0.861 0.741 0.638 0.549 0.472 0.407 0.350 0.301 0.259 0.223 0.192 0.165 0.142 0.122 0.105 0.091 0.078 0.067 0.058 0.050 0.043 0.037 0.032 0.027 0.024 0.011 0.005 0.002 0.001 0.001 15% 26-S2374-APAB 2/24/03 4:22 PM Page T-17 Appendix A: Financial Tables T-17 https://fb.com/tailieudientucntt 0.852 0.726 0.619 0.527 0.449 0.383 0.326 0.278 0.237 0.202 0.172 0.147 0.125 0.106 0.091 0.077 0.066 0.056 0.048 0.041 0.035 0.030 0.025 0.021 0.018 0.008 0.004 0.002 0.001 * 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 30 35 40 45 50 0.844 0.712 0.600 0.507 0.427 0.361 0.304 0.257 0.217 0.183 0.154 0.130 0.110 0.093 0.078 0.066 0.056 0.047 0.040 0.033 0.028 0.024 0.020 0.017 0.014 0.006 0.003 0.001 * * 17% 0.835 0.698 0.583 0.487 0.407 0.340 0.284 0.237 0.198 0.165 0.138 0.115 0.096 0.080 0.067 0.056 0.047 0.039 0.033 0.027 0.023 0.019 0.016 0.013 0.011 0.005 0.002 0.001 * * 18% 0.827 0.684 0.566 0.468 0.387 0.320 0.264 0.219 0.181 0.150 0.124 0.102 0.085 0.070 0.058 0.048 0.040 0.033 0.027 0.022 0.018 0.015 0.013 0.010 0.009 0.003 0.001 0.001 * * 19% 0.819 0.670 0.549 0.449 0.368 0.301 0.247 0.202 0.165 0.135 0.111 0.091 0.074 0.061 0.050 0.041 0.033 0.027 0.022 0.018 0.015 0.012 0.010 0.008 0.007 0.002 0.001 * * * 20% 0.811 0.657 0.533 0.432 0.350 0.284 0.230 0.186 0.151 0.122 0.099 0.080 0.065 0.053 0.043 0.035 0.028 0.023 0.018 0.015 0.012 0.010 0.008 0.006 0.005 0.002 0.001 * * * 21% 0.803 0.644 0.517 0.415 0.333 0.267 0.214 0.172 0.138 0.111 0.089 0.071 0.057 0.046 0.037 0.030 0.024 0.019 0.015 0.012 0.010 0.008 0.006 0.005 0.004 0.001 * * * * 22% 0.795 0.631 0.502 0.399 0.317 0.252 0.200 0.159 0.126 0.100 0.080 0.063 0.050 0.040 0.032 0.025 0.020 0.016 0.013 0.010 0.008 0.006 0.005 0.004 0.003 0.001 * * * * 23% 0.787 0.619 0.487 0.383 0.301 0.237 0.186 0.147 0.115 0.091 0.071 0.056 0.044 0.035 0.027 0.021 0.017 0.013 0.010 0.008 0.006 0.005 0.004 0.003 0.002 0.001 * * * * 24% 0.779 0.607 0.472 0.368 0.287 0.223 0.174 0.135 0.105 0.082 0.064 0.050 0.039 0.030 0.024 0.018 0.014 0.011 0.009 0.007 0.005 0.004 0.003 0.002 0.002 0.001 * * * * 25% 0.771 0.595 0.458 0.353 0.273 0.210 0.162 0.125 0.096 0.074 0.057 0.044 0.034 0.026 0.020 0.016 0.012 0.009 0.007 0.006 0.004 0.003 0.003 0.002 0.002 0.000 * * * * 26% 0.763 0.583 0.445 0.340 0.259 0.198 0.151 0.115 0.088 0.067 0.051 0.039 0.030 0.023 0.017 0.013 0.010 0.008 0.006 0.005 0.003 0.003 0.002 0.002 0.001 * * * * * 27% T-18 CuuDuongThanCong.com https://fb.com/tailieudientucntt * Discount factor is zero to three decimal places 16% Period PVFr%,n ϭ eϪrn Table A6 (continued ) Present Value Factor for One Dollar Discounted Continuously at r Percent for n Periods 26-S2374-APAB 2/24/03 4:22 PM Page T-18 Appendix A: Financial Tables CuuDuongThanCong.com https://fb.com/tailieudientucntt 0.756 0.571 0.432 0.326 0.247 0.186 0.141 0.106 0.080 0.061 0.046 0.035 0.026 0.020 0.015 0.011 0.009 0.006 0.005 0.004 0.003 0.002 0.002 0.001 0.001 * * * * * 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 30 35 40 45 50 0.748 0.560 0.419 0.313 0.235 0.176 0.131 0.098 0.074 0.055 0.041 0.031 0.023 0.017 0.013 0.010 0.007 0.005 0.004 0.003 0.002 0.002 0.001 0.001 0.001 * * * * * 29% * Discount factor is zero to three decimal places 28% Period Table A6 (continued ) 0.741 0.549 0.407 0.301 0.223 0.165 0.122 0.091 0.067 0.050 0.037 0.027 0.020 0.015 0.011 0.008 0.006 0.005 0.003 0.002 0.002 0.001 0.001 0.001 0.001 * * * * * 30% 0.733 0.538 0.395 0.289 0.212 0.156 0.114 0.084 0.061 0.045 0.033 0.024 0.018 0.013 0.010 0.007 0.005 0.004 0.003 0.002 0.001 0.001 0.001 0.001 * * * * * * 31% 0.726 0.527 0.383 0.278 0.202 0.147 0.106 0.077 0.056 0.041 0.030 0.021 0.016 0.011 0.008 0.006 0.004 0.003 0.002 0.002 0.001 0.001 0.001 * * * * * * * 32% 0.719 0.517 0.372 0.267 0.192 0.138 0.099 0.071 0.051 0.037 0.027 0.019 0.014 0.010 0.007 0.005 0.004 0.003 0.002 0.001 0.001 0.001 0.001 * * * * * * * 33% 0.712 0.507 0.361 0.257 0.183 0.130 0.093 0.066 0.047 0.033 0.024 0.017 0.012 0.009 0.006 0.004 0.003 0.002 0.002 0.001 0.001 0.001 * * * * * * * * 34% 0.705 0.497 0.350 0.247 0.174 0.122 0.086 0.061 0.043 0.030 0.021 0.015 0.011 0.007 0.005 0.004 0.003 0.002 0.001 0.001 0.001 * * * * * * * * * 35% 0.670 0.449 0.301 0.202 0.135 0.091 0.061 0.041 0.027 0.018 0.012 0.008 0.006 0.004 0.002 0.002 0.001 0.001 0.001 * * * * * * * * * * * 40% 0.638 0.407 0.259 0.165 0.105 0.067 0.043 0.027 0.017 0.011 0.007 0.005 0.003 0.002 0.001 0.001 * * * * * * * * * * * * * * 45% 0.607 0.368 0.223 0.135 0.082 0.050 0.030 0.018 0.011 0.007 0.004 0.002 0.002 0.001 0.001 * * * * * * * * * * * * * * * 50% 26-S2374-APAB 2/24/03 4:22 PM Page T-19 Appendix A: Financial Tables T-19 26-S2374-APAB 2/24/03 4:22 PM Page T-20 CuuDuongThanCong.com https://fb.com/tailieudientucntt ... Table A3 (continued ) 26-S2374-APAB 2/24/03 4:22 PM Page T-9 Appendix A: Financial Tables T-9 https://fb .com/ tailieudientucntt CuuDuongThanCong. com https://fb .com/ tailieudientucntt CuuDuongThanCong. com. .. 26-S2374-APAB 2/24/03 4:22 PM Page T-8 T-8 Appendix A: Financial Tables CuuDuongThanCong. com https://fb .com/ tailieudientucntt CuuDuongThanCong. com 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 30... 26-S2374-APAB 2/24/03 4:22 PM Page T-2 T-2 Appendix A: Financial Tables CuuDuongThanCong. com https://fb .com/ tailieudientucntt CuuDuongThanCong. com 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 30