Time Value of Money-Tables

Year 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 25 30 40 50

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 1.282 1.348 1.489 1.645

2% 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 1.641 1.811 2.208 2.692

3% 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 2.094 2.427 3.262 4.384

4% 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 2.666 3.243 4.801 7.107

5% 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 3.386 4.322 7.040 11.467

6% 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 4.292 5.743 10.286 18.420

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 5.427 7.612 14.974 29.457

8% 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 6.848 10.063 21.725 46.902

9% 1.090 1.188 1.295 1.412 1.539 1.677 1.828 1.993 2.172 2.367 2.580 2.813 3.066 3.342 3.642 3.970 4.328 4.717 5.142 5.604 8.623 13.268 31.409 74.358

10% 1.100 1.210 1.331 1.464 1.611 1.772 1.949 2.144 2.358 2.594 2.853 3.138 3.452 3.797 4.177 4.595 5.054 5.560 6.116 6.727 10.835 17.449 45.259 117.391

Year 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 25 30

1% 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 28.243 34.785

2% 1.000 2.020 3.060 4.122 5.204 6.308 7.434 8.583 9.755 10.950 12.169 13.412 14.680 15.974 17.293 18.639 20.012 21.412 22.841 24.297 32.030 40.568

3% 1.000 2.030 3.091 4.184 5.309 6.468 7.662 8.892 10.159 11.464 12.808 14.192 15.618 17.086 18.599 20.157 21.762 23.414 25.117 26.870 36.459 47.575

4% 1.000 2.040 3.122 4.246 5.416 6.633 7.898 9.214 10.583 12.006 13.486 15.026 16.627 18.292 20.024 21.825 23.698 25.645 27.671 29.778 41.646 56.085

5% 1.000 2.050 3.153 4.310 5.526 6.802 8.142 9.549 11.027 12.578 14.207 15.917 17.713 19.599 21.579 23.657 25.840 28.132 30.539 33.066 47.727 66.439

6% 1.000 2.060 3.184 4.375 5.637 6.975 8.394 9.897 11.491 13.181 14.972 16.870 18.882 21.015 23.276 25.673 28.213 30.906 33.760 36.786 54.865 79.058

7% 8% 1.000 1.000 2.070 2.080 3.215 3.246 4.440 4.506 5.751 5.867 7.153 7.336 8.654 8.923 10.260 10.637 11.978 12.488 13.816 14.487 15.784 16.645 17.888 18.977 20.141 21.495 22.550 24.215 25.129 27.152 27.888 30.324 30.840 33.750 33.999 37.450 37.379 41.446 40.995 45.762 63.249 73.106 94.461 113.283

Table B: Compound Value of a Interest Rate 9% 10% 1.000 1.000 2.090 2.100 3.278 3.310 4.573 4.641 5.985 6.105 7.523 7.716 9.200 9.487 11.028 11.436 13.021 13.579 15.193 15.937 17.560 18.531 20.141 21.384 22.953 24.523 26.019 27.975 29.361 31.772 33.003 35.950 36.974 40.545 41.301 45.599 46.018 51.159 51.160 57.275 84.701 98.347 136.308 164.494

40 50

48.886 64.463

60.402 75.401 95.026 120.800 154.762 199.635 259.057 337.882 442.593 84.579 112.797 152.667 209.348 290.336 406.529 573.770 815.084 1163.909

11% 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 13.585 22.892 65.001 184.565

Table A: Compound Value Factor of a Lump Sum of Re 1 Interest 12% 13% 14% 15% 16% 17% 18% 1.120 1.130 1.140 1.150 1.160 1.170 1.180 1.254 1.277 1.300 1.323 1.346 1.369 1.392 1.405 1.443 1.482 1.521 1.561 1.602 1.643 1.574 1.630 1.689 1.749 1.811 1.874 1.939 1.762 1.842 1.925 2.011 2.100 2.192 2.288 1.974 2.082 2.195 2.313 2.436 2.565 2.700 2.211 2.353 2.502 2.660 2.826 3.001 3.185 2.476 2.658 2.853 3.059 3.278 3.511 3.759 2.773 3.004 3.252 3.518 3.803 4.108 4.435 3.106 3.395 3.707 4.046 4.411 4.807 5.234 3.479 3.836 4.226 4.652 5.117 5.624 6.176 3.896 4.335 4.818 5.350 5.936 6.580 7.288 4.363 4.898 5.492 6.153 6.886 7.699 8.599 4.887 5.535 6.261 7.076 7.988 9.007 10.147 5.474 6.254 7.138 8.137 9.266 10.539 11.974 6.130 7.067 8.137 9.358 10.748 12.330 14.129 6.866 7.986 9.276 10.761 12.468 14.426 16.672 7.690 9.024 10.575 12.375 14.463 16.879 19.673 8.613 10.197 12.056 14.232 16.777 19.748 23.214 9.646 11.523 13.743 16.367 19.461 23.106 27.393 17.000 21.231 26.462 32.919 40.874 50.658 62.669 29.960 39.116 50.950 66.212 85.850 111.065 143.371 93.051 132.782 188.884 267.864 378.721 533.869 750.378 289.002 450.736 700.233 1083.657 1670.704 2566.215 3927.357

19% 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 77.388 184.675 1051.668 5988.914

ble B: Compound Value of an Annuity of Re 1 Interest Rate 11% 12% 13% 14% 1.000 1.000 1.000 1.000 2.110 2.120 2.130 2.140 3.342 3.374 3.407 3.440 4.710 4.779 4.850 4.921 6.228 6.353 6.480 6.610 7.913 8.115 8.323 8.536 9.783 10.089 10.405 10.730 11.859 12.300 12.757 13.233 14.164 14.776 15.416 16.085 16.722 17.549 18.420 19.337 19.561 20.655 21.814 23.045 22.713 24.133 25.650 27.271 26.212 28.029 29.985 32.089 30.095 32.393 34.883 37.581 34.405 37.280 40.417 43.842 39.190 42.753 46.672 50.980 44.501 48.884 53.739 59.118 50.396 55.750 61.725 68.394 56.939 63.440 70.749 78.969 64.203 72.052 80.947 91.025 114.413 133.334 155.620 181.871 199.021 241.333 293.199 356.787

15% 1.000 2.150 3.473 4.993 6.742 8.754 11.067 13.727 16.786 20.304 24.349 29.002 34.352 40.505 47.580 55.717 65.075 75.836 88.212 102.444 212.793 434.745

16% 1.000 2.160 3.506 5.066 6.877 8.977 11.414 14.240 17.519 21.321 25.733 30.850 36.786 43.672 51.660 60.925 71.673 84.141 98.603 115.380 249.214 530.312

17% 1.000 2.170 3.539 5.141 7.014 9.207 11.772 14.773 18.285 22.393 27.200 32.824 39.404 47.103 56.110 66.649 78.979 93.406 110.285 130.033 292.105 647.439

18% 1.000 2.180 3.572 5.215 7.154 9.442 12.142 15.327 19.086 23.521 28.755 34.931 42.219 50.818 60.965 72.939 87.068 103.740 123.414 146.628 342.603 790.948

19% 1.000 2.190 3.606 5.291 7.297 9.683 12.523 15.902 19.923 24.709 30.404 37.180 45.244 54.841 66.261 79.850 96.022 115.266 138.166 165.418 402.042 966.712

581.826 767.091 1013.704 1342.025 1779.090 2360.757 3134.522 4163.213 5529.829 1668.771 2400.018 3459.507 4994.521 7217.716 10435.649 15089.502 21813.094 31515.336

20% 21% 22% 1.200 1.210 1.220 1.440 1.464 1.488 1.728 1.772 1.816 2.074 2.144 2.215 2.488 2.594 2.703 2.986 3.138 3.297 3.583 3.797 4.023 4.300 4.595 4.908 5.160 5.560 5.987 6.192 6.727 7.305 7.430 8.140 8.912 8.916 9.850 10.872 10.699 11.918 13.264 12.839 14.421 16.182 15.407 17.449 19.742 18.488 21.114 24.086 22.186 25.548 29.384 26.623 30.913 35.849 31.948 37.404 43.736 38.338 45.259 53.358 95.396 117.391 144.210 237.376 304.482 389.758 1469.772 2048.400 2847.038 9100.438 13780.612 20796.561

23% 1.230 1.513 1.861 2.289 2.815 3.463 4.259 5.239 6.444 7.926 9.749 11.991 14.749 18.141 22.314 27.446 33.759 41.523 51.074 62.821 176.859 497.913 3946.430 31279.195

24% 1.240 1.538 1.907 2.364 2.932 3.635 4.508 5.590 6.931 8.594 10.657 13.215 16.386 20.319 25.196 31.243 38.741 48.039 59.568 73.864 216.542 634.820 5455.913 46890.435

25% 1.250 1.563 1.953 2.441 3.052 3.815 4.768 5.960 7.451 9.313 11.642 14.552 18.190 22.737 28.422 35.527 44.409 55.511 69.389 86.736 264.698 807.794 7523.164 70064.923

30% 40% 1.300 1.400 1.690 1.960 2.197 2.744 2.856 3.842 3.713 5.378 4.827 7.530 6.275 10.541 8.157 14.758 10.604 20.661 13.786 28.925 17.922 40.496 23.298 56.694 30.288 79.371 39.374 111.120 51.186 155.568 66.542 217.795 86.504 304.913 112.455 426.879 146.192 597.630 190.050 836.683 705.641 4499.880 2619.996 24201.432 36118.865 700037.697 497929.223 20248916.240

20% 1.000 2.200 3.640 5.368 7.442 9.930 12.916 16.499 20.799 25.959 32.150 39.581 48.497 59.196 72.035 87.442 105.931 128.117 154.740 186.688 471.981 1181.882

21% 1.000 2.210 3.674 5.446 7.589 10.183 13.321 17.119 21.714 27.274 34.001 42.142 51.991 63.909 78.330 95.780 116.894 142.441 173.354 210.758 554.242 1445.151

22% 1.000 2.220 3.708 5.524 7.740 10.442 13.740 17.762 22.670 28.657 35.962 44.874 55.746 69.010 85.192 104.935 129.020 158.405 194.254 237.989 650.955 1767.081

23% 1.000 2.230 3.743 5.604 7.893 10.708 14.171 18.430 23.669 30.113 38.039 47.788 59.779 74.528 92.669 114.983 142.430 176.188 217.712 268.785 764.605 2160.491

24% 1.000 2.240 3.778 5.684 8.048 10.980 14.615 19.123 24.712 31.643 40.238 50.895 64.110 80.496 100.815 126.011 157.253 195.994 244.033 303.601 898.092 2640.916

25% 1.000 2.250 3.813 5.766 8.207 11.259 15.073 19.842 25.802 33.253 42.566 54.208 68.760 86.949 109.687 138.109 173.636 218.045 273.556 342.945 1054.791 3227.174

30% 1.000 2.300 3.990 6.187 9.043 12.756 17.583 23.858 32.015 42.619 56.405 74.327 97.625 127.913 167.286 218.472 285.014 371.518 483.973 630.165 2348.803 8729.985

40% 1.000 2.400 4.360 7.104 10.946 16.324 23.853 34.395 49.153 69.814 98.739 139.235 195.929 275.300 386.420 541.988 759.784 1064.697 1491.576 2089.206 11247.199 60501.081

7343.858 9749.525 12936.535 17154.046 22728.803 30088.655 120392.883 1750091.741 45497.191 65617.202 94525.279 135992.154 195372.644 280255.693 1659760.743 50622288.099

Year 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 25 30 40 50

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 0.780 0.742 0.672 0.608

2% 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 0.610 0.552 0.453 0.372

3% 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 0.478 0.412 0.307 0.228

4% 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 0.375 0.308 0.208 0.141

5% 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 0.295 0.231 0.142 0.087

Table C: Present Value Factor of a Lump Sum of Re 1 Interest Rate 6% 7% 8% 9% 10% 0.943 0.935 0.926 0.917 0.909 0.890 0.873 0.857 0.842 0.826 0.840 0.816 0.794 0.772 0.751 0.792 0.763 0.735 0.708 0.683 0.747 0.713 0.681 0.650 0.621 0.705 0.666 0.630 0.596 0.564 0.665 0.623 0.583 0.547 0.513 0.627 0.582 0.540 0.502 0.467 0.592 0.544 0.500 0.460 0.424 0.558 0.508 0.463 0.422 0.386 0.429 0.388 0.350 0.527 0.475 0.397 0.356 0.319 0.497 0.444 0.368 0.326 0.290 0.469 0.415 0.340 0.299 0.263 0.442 0.388 0.315 0.275 0.239 0.417 0.362 0.292 0.252 0.218 0.394 0.339 0.270 0.231 0.198 0.371 0.317 0.250 0.212 0.180 0.350 0.296 0.232 0.194 0.164 0.331 0.277 0.215 0.178 0.149 0.312 0.258 0.146 0.116 0.092 0.233 0.184 0.099 0.075 0.057 0.174 0.131 0.046 0.032 0.022 0.097 0.067 0.021 0.013 0.009 0.054 0.034 Table D: Present Value Factor of an Interest Rate 9% 10% 0.9174 0.9091 1.7591 1.7355 2.5313 2.4869 3.2397 3.1699 3.8897 3.7908 4.4859 4.3553 5.0330 4.8684 5.5348 5.3349 5.9952 5.7590 6.4177 6.1446 6.8052 6.4951 7.1607 6.8137 7.4869 7.1034 7.7862 7.3667 8.0607 7.6061 8.3126 7.8237 8.5436 8.0216 8.7556 8.2014 8.9501 8.3649 9.1285 8.5136

Year 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

1% 0.9901 1.9704 2.9410 3.9020 4.8534 5.7955 6.7282 7.6517 8.5660 9.4713 10.3676 11.2551 12.1337 13.0037 13.8651 14.7179 15.5623 16.3983 17.2260 18.0456

2% 0.9804 1.9416 2.8839 3.8077 4.7135 5.6014 6.4720 7.3255 8.1622 8.9826 9.7868 10.5753 11.3484 12.1062 12.8493 13.5777 14.2919 14.9920 15.6785 16.3514

3% 0.9709 1.9135 2.8286 3.7171 4.5797 5.4172 6.2303 7.0197 7.7861 8.5302 9.2526 9.9540 ### ### ### ### ### ### ### ###

4% 0.9615 1.8861 2.7751 3.6299 4.4518 5.2421 6.0021 6.7327 7.4353 8.1109 8.7605 9.3851 9.9856 ### ### ### ### ### ### ###

5% 0.9524 1.8594 2.7232 3.5460 4.3295 5.0757 5.7864 6.4632 7.1078 7.7217 8.3064 8.8633 9.3936 9.8986 10.3797 10.8378 11.2741 11.6896 12.0853 12.4622

6% 0.9434 1.8334 2.6730 3.4651 4.2124 4.9173 5.5824 6.2098 6.8017 7.3601 7.8869 8.3838 8.8527 9.2950 9.7122 10.1059 10.4773 10.8276 11.1581 11.4699

7% 0.9346 1.8080 2.6243 3.3872 4.1002 4.7665 5.3893 5.9713 6.5152 7.0236 7.4987 7.9427 8.3577 8.7455 9.1079 9.4466 9.7632 10.0591 10.3356 10.5940

8% 0.9259 1.7833 2.5771 3.3121 3.9927 4.6229 5.2064 5.7466 6.2469 6.7101 7.1390 7.5361 7.9038 8.2442 8.5595 8.8514 9.1216 9.3719 9.6036 9.8181

25 30 40 50

22.0232 25.8077 32.8347 39.1961

19.5235 22.3965 27.3555 31.4236

### ### ### ###

### ### ### ###

14.0939 15.3725 17.1591 18.2559

12.7834 13.7648 15.0463 15.7619

11.6536 12.4090 13.3317 13.8007

10.6748 11.2578 11.9246 12.2335

9.8226 10.2737 10.7574 10.9617

9.0770 9.4269 9.7791 9.9148

tor of a Lump Sum of Re 1 t Rate 11% 12% 0.901 0.893 0.812 0.797 0.731 0.712 0.659 0.636 0.593 0.567 0.535 0.507 0.482 0.452 0.434 0.404 0.391 0.361 0.352 0.322 0.317 0.287 0.286 0.257 0.258 0.229 0.232 0.205 0.209 0.183 0.188 0.163 0.170 0.146 0.153 0.130 0.138 0.116 0.124 0.104 0.074 0.059 0.044 0.033 0.015 0.011 0.005 0.003

13% 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 0.047 0.026 0.008 0.002

14% 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 0.038 0.020 0.005 0.001

15% 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 0.030 0.015 0.004 0.001

16% 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 0.024 0.012 0.003 0.001

17% 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 0.020 0.009 0.002 0.000

18% 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 0.016 0.007 0.001 0.000

19% 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 0.013 0.005 0.001 0.000

e D: Present Value Factor of an Annuity of Re 1 Interest Rate 11% 12% 13% 14% 0.9009 0.8929 0.8850 0.8772 1.7125 1.6901 1.6681 1.6467 2.4437 2.4018 2.3612 2.3216 3.1024 3.0373 2.9745 2.9137 3.6959 3.6048 3.5172 3.4331 4.2305 4.1114 3.9975 3.8887 4.7122 4.5638 4.4226 4.2883 5.1461 4.9676 4.7988 4.6389 5.5370 5.3282 5.1317 4.9464 5.8892 5.6502 5.4262 5.2161 6.2065 5.9377 5.6869 5.4527 6.4924 6.1944 5.9176 5.6603 6.7499 6.4235 6.1218 5.8424 6.9819 6.6282 6.3025 6.0021 7.1909 6.8109 6.4624 6.1422 7.3792 6.9740 6.6039 6.2651 7.5488 7.1196 6.7291 6.3729 7.7016 7.2497 6.8399 6.4674 7.8393 7.3658 6.9380 6.5504 7.9633 7.4694 7.0248 6.6231

15% 0.8696 1.6257 2.2832 2.8550 3.3522 3.7845 4.1604 4.4873 4.7716 5.0188 5.2337 5.4206 5.5831 5.7245 5.8474 5.9542 6.0472 6.1280 6.1982 6.2593

16% 0.8621 1.6052 2.2459 2.7982 3.2743 3.6847 4.0386 4.3436 4.6065 4.8332 5.0286 5.1971 5.3423 5.4675 5.5755 5.6685 5.7487 5.8178 5.8775 5.9288

17% 0.8547 1.5852 2.2096 2.7432 3.1993 3.5892 3.9224 4.2072 4.4506 4.6586 4.8364 4.9884 5.1183 5.2293 5.3242 5.4053 5.4746 5.5339 5.5845 5.6278

18% 0.8475 1.5656 2.1743 2.6901 3.1272 3.4976 3.8115 4.0776 4.3030 4.4941 4.6560 4.7932 4.9095 5.0081 5.0916 5.1624 5.2223 5.2732 5.3162 5.3527

19% 0.8403 1.5465 2.1399 2.6386 3.0576 3.4098 3.7057 3.9544 4.1633 4.3389 4.4865 4.6105 4.7147 4.8023 4.8759 4.9377 4.9897 5.0333 5.0700 5.1009

8.4217 8.6938 8.9511 9.0417

7.8431 8.0552 8.2438 8.3045

7.3300 7.4957 7.6344 7.6752

6.8729 7.0027 7.1050 7.1327

6.4641 6.5660 6.6418 6.6605

6.0971 6.1772 6.2335 6.2463

5.7662 5.8294 5.8713 5.8801

5.4669 5.5168 5.5482 5.5541

5.1951 5.2347 5.2582 5.2623

20% 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 0.010 0.004 0.001 0.000

21% 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 0.009 0.003 0.000 0.000

22% 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 0.007 0.003 0.000 0.000

23% 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 0.006 0.002 0.000 0.000

24% 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 0.005 0.002 0.000 0.000

25% 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 0.004 0.001 0.000 0.000

30% 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 0.001 0.000 0.000 0.000

40% 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 0.000 0.000 0.000 0.000

20% 0.8333 1.5278 2.1065 2.5887 2.9906 3.3255 3.6046 3.8372 4.0310 4.1925 4.3271 4.4392 4.5327 4.6106 4.6755 4.7296 4.7746 4.8122 4.8435 4.8696

21% 0.8264 1.5095 2.0739 2.5404 2.9260 3.2446 3.5079 3.7256 3.9054 4.0541 4.1769 4.2784 4.3624 4.4317 4.4890 4.5364 4.5755 4.6079 4.6346 4.6567

22% 0.8197 1.4915 2.0422 2.4936 2.8636 3.1669 3.4155 3.6193 3.7863 3.9232 4.0354 4.1274 4.2028 4.2646 4.3152 4.3567 4.3908 4.4187 4.4415 4.4603

23% 0.8130 1.4740 2.0114 2.4483 2.8035 3.0923 3.3270 3.5179 3.6731 3.7993 3.9018 3.9852 4.0530 4.1082 4.1530 4.1894 4.2190 4.2431 4.2627 4.2786

24% 0.8065 1.4568 1.9813 2.4043 2.7454 3.0205 3.2423 3.4212 3.5655 3.6819 3.7757 3.8514 3.9124 3.9616 4.0013 4.0333 4.0591 4.0799 4.0967 4.1103

25% 0.8000 1.4400 1.9520 2.3616 2.6893 2.9514 3.1611 3.3289 3.4631 3.5705 3.6564 3.7251 3.7801 3.8241 3.8593 3.8874 3.9099 3.9279 3.9424 3.9539

30% 0.7692 1.3609 1.8161 2.1662 2.4356 2.6427 2.8021 2.9247 3.0190 3.0915 3.1473 3.1903 3.2233 3.2487 3.2682 3.2832 3.2948 3.3037 3.3105 3.3158

40% 0.7143 1.2245 1.5889 1.8492 2.0352 2.1680 2.2628 2.3306 2.3790 2.4136 2.4383 2.4559 2.4685 2.4775 2.4839 2.4885 2.4918 2.4941 2.4958 2.4970

4.9476 4.9789 4.9966 4.9995

4.7213 4.7463 4.7596 4.7616

4.5139 4.5338 4.5439 4.5452

4.3232 4.3391 4.3467 4.3477

4.1474 4.1601 4.1659 4.1666

3.9849 3.9950 3.9995 3.9999

3.3286 3.3321 3.3332 3.3333

2.4994 2.4999 2.5000 2.5000

Year 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 25 30 40 50

1% 1.0101 1.0202 1.0305 1.0408 1.0513 1.0618 1.0725 1.0833 1.0942 1.1052 1.1163 1.1275 1.1388 1.1503 1.1618 1.1735 1.1853 1.1972 1.2092 1.2214 1.2840 1.3499 1.4918 1.6487

2% 1.0202 1.0408 1.0618 1.0833 1.1052 1.1275 1.1503 1.1735 1.1972 1.2214 1.2461 1.2712 1.2969 1.3231 1.3499 1.3771 1.4049 1.4333 1.4623 1.4918 1.6487 1.8221 2.2255 2.7183

3% 1.0305 1.0618 1.0942 1.1275 1.1618 1.1972 1.2337 1.2712 1.3100 1.3499 1.3910 1.4333 1.4770 1.5220 1.5683 1.6161 1.6653 1.7160 1.7683 1.8221 2.1170 2.4596 3.3201 4.4817

Table E: Continuous Compounding alue of Re 1 given Time Period and Interest Rate Interest 4% 5% 6% 7% 8% 9% 10% 11% 12% 13% 14% 15% 16% 17% 18% 19% 20% 21% 22% 1.0408 1.0513 1.0618 1.0725 1.0833 1.0942 1.1052 1.1163 1.1275 1.1388 1.1503 1.1618 1.1735 1.1853 1.1972 1.2092 1.2214 1.2337 1.2461 1.0833 1.1052 1.1275 1.1503 1.1735 1.1972 1.2214 1.2461 1.2712 1.2969 1.3231 1.3499 1.3771 1.4049 1.4333 1.4623 1.4918 1.5220 1.5527 1.1275 1.1618 1.1972 1.2337 1.2712 1.3100 1.3499 1.3910 1.4333 1.4770 1.5220 1.5683 1.6161 1.6653 1.7160 1.7683 1.8221 1.8776 1.9348 1.1735 1.2214 1.2712 1.3231 1.3771 1.4333 1.4918 1.5527 1.6161 1.6820 1.7507 1.8221 1.8965 1.9739 2.0544 2.1383 2.2255 2.3164 2.4109 1.2214 1.2840 1.3499 1.4191 1.4918 1.5683 1.6487 1.7333 1.8221 1.9155 2.0138 2.1170 2.2255 2.3396 2.4596 2.5857 2.7183 2.8577 3.0042 1.2712 1.3499 1.4333 1.5220 1.6161 1.7160 1.8221 1.9348 2.0544 2.1815 2.3164 2.4596 2.6117 2.7732 2.9447 3.1268 3.3201 3.5254 3.7434 1.3231 1.4191 1.5220 1.6323 1.7507 1.8776 2.0138 2.1598 2.3164 2.4843 2.6645 2.8577 3.0649 3.2871 3.5254 3.7810 4.0552 4.3492 4.6646 1.3771 1.4918 1.6161 1.7507 1.8965 2.0544 2.2255 2.4109 2.6117 2.8292 3.0649 3.3201 3.5966 3.8962 4.2207 4.5722 4.9530 5.3656 5.8124 1.4333 1.5683 1.7160 1.8776 2.0544 2.2479 2.4596 2.6912 2.9447 3.2220 3.5254 3.8574 4.2207 4.6182 5.0531 5.5290 6.0496 6.6194 7.2427 1.4918 1.6487 1.8221 2.0138 2.2255 2.4596 2.7183 3.0042 3.3201 3.6693 4.0552 4.4817 4.9530 5.4739 6.0496 6.6859 7.3891 8.1662 9.0250 1.5527 1.7333 1.9348 2.1598 2.4109 2.6912 3.0042 3.3535 3.7434 4.1787 4.6646 5.2070 5.8124 6.4883 7.2427 8.0849 9.0250 10.0744 11.2459 1.6161 1.8221 2.0544 2.3164 2.6117 2.9447 3.3201 3.7434 4.2207 4.7588 5.3656 6.0496 6.8210 7.6906 8.6711 9.7767 11.0232 12.4286 14.0132 1.6820 1.9155 2.1815 2.4843 2.8292 3.2220 3.6693 4.1787 4.7588 5.4195 6.1719 7.0287 8.0045 9.1157 10.3812 11.8224 13.4637 15.3329 17.4615 1.7507 2.0138 2.3164 2.6645 3.0649 3.5254 4.0552 4.6646 5.3656 6.1719 7.0993 8.1662 9.3933 10.8049 12.4286 14.2963 16.4446 18.9158 21.7584 1.8221 2.1170 2.4596 2.8577 3.3201 3.8574 4.4817 5.2070 6.0496 7.0287 8.1662 9.4877 11.0232 12.8071 14.8797 17.2878 20.0855 23.3361 27.1126 1.8965 2.2255 2.6117 3.0649 3.5966 4.2207 4.9530 5.8124 6.8210 8.0045 9.3933 11.0232 12.9358 15.1803 17.8143 20.9052 24.5325 28.7892 33.7844 1.9739 2.3396 2.7732 3.2871 3.8962 4.6182 5.4739 6.4883 7.6906 9.1157 10.8049 12.8071 15.1803 17.9933 21.3276 25.2797 29.9641 35.5166 42.0980 2.0544 2.4596 2.9447 3.5254 4.2207 5.0531 6.0496 7.2427 8.6711 10.3812 12.4286 14.8797 17.8143 21.3276 25.5337 30.5694 36.5982 43.8160 52.4573 2.1383 2.5857 3.1268 3.7810 4.5722 5.5290 6.6859 8.0849 9.7767 11.8224 14.2963 17.2878 20.9052 25.2797 30.5694 36.9661 44.7012 54.0549 65.3659 2.2255 2.7183 3.3201 4.0552 4.9530 6.0496 7.3891 9.0250 11.0232 13.4637 16.4446 20.0855 24.5325 29.9641 36.5982 44.7012 54.5982 66.6863 81.4509 2.7183 3.4903 4.4817 5.7546 7.3891 9.4877 12.1825 15.6426 20.0855 25.7903 33.1155 42.5211 54.5982 70.1054 90.0171 115.5843 148.4132 190.5663 244.6919 3.3201 4.4817 6.0496 8.1662 11.0232 14.8797 20.0855 27.1126 36.5982 49.4024 66.6863 90.0171 121.5104 164.0219 221.4064 298.8674 403.4288 544.5719 735.0952 4.9530 7.3891 11.0232 16.4446 24.5325 36.5982 54.5982 81.4509 121.5104 181.2722 270.4264 403.4288 601.8450 897.8473 1339.4308 1998.1959 2980.9580 4447.0667 6634.2440 7.3891 12.1825 20.0855 33.1155 54.5982 90.0171 148.4132 244.6919 403.4288 665.1416 1096.6332 1808.0424 2980.9580 4914.7688 8103.0839 13359.7268 22026.4658 36315.5027 59874.1417

23% 1.2586 1.5841 1.9937 2.5093 3.1582 3.9749 5.0028 6.2965 7.9248 9.9742 12.5535 15.7998 19.8857 25.0281 31.5004 39.6464 49.8990 62.8028 79.0436 99.4843 314.1907 992.2747 9897.1291 98715.7710

24% 25% 30% 40% 1.2712 1.2840 1.3499 1.4918 1.6161 1.6487 1.8221 2.2255 2.0544 2.1170 2.4596 3.3201 2.6117 2.7183 3.3201 4.9530 3.3201 3.4903 4.4817 7.3891 4.2207 4.4817 6.0496 11.0232 5.3656 5.7546 8.1662 16.4446 6.8210 7.3891 11.0232 24.5325 8.6711 9.4877 14.8797 36.5982 11.0232 12.1825 20.0855 54.5982 14.0132 15.6426 27.1126 81.4509 17.8143 20.0855 36.5982 121.5104 22.6464 25.7903 49.4024 181.2722 28.7892 33.1155 66.6863 270.4264 36.5982 42.5211 90.0171 403.4288 46.5255 54.5982 121.5104 601.8450 59.1455 70.1054 164.0219 897.8473 75.1886 90.0171 221.4064 1339.4308 95.5835 115.5843 298.8674 1998.1959 121.5104 148.4132 403.4288 2980.9580 403.4288 518.0128 1808.0424 22026.4658 1339.4308 1808.0424 8103.0839 162754.7914 14764.7816 22026.4658 162754.7914 8886110.5205 162754.7914 268337.2865 3269017.3725 485165195.4098



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