Financial Tables, Lecture notes of Financial Management

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Appendix A: Financial Tables

134 Y Appendix A: Financial Tables

70064.923^ 497929.223^ *^ *^ *^ *

Table A2 Present Value Factors for One Dollar Discounted at^ r^ Percent for^ n

Periods n 1/(1 ) PVF r = +%, r n Period 1% 2% 3% 4% 5% 6% 7%^ 8%^ 9%^ 10%^ 11%^ 12%^ 13%^ 14%^

Table A3 Future Value Factors for a One-Dollar Ordinary Annuity Compounded at

r^ Percent for^ n^ Periods n (1 ) 1 %,

r + − FVFA PMT = × r nr Period 1% 2% 3%^ 4%^ 5%^ 6%^ 7%^ 8%^

138 Y Appendix A: Financial Tables

Table A3 ( continued ) Future Value Factors for a One-Dollar Ordinary Annuity Compounded at

r^ Percent for^ n^ Periods n (1 ) 1 %,

r + − FVFA PMT = × r nr Period 16% 17%^ 18%^ 19%^ 20%^ 25%

*^ *^ *^ *^ *

140 Y Appendix A: Financial Tables

Table A4 ( continued ) Present Value Factors for a One-Dollar Ordinary Annuity Discounted at

r^ Percent for^ n^ Periods 1 PMT 1 %, r n n (1 ) ⎡^ ⎤ PVFA = ×^ −⎢^ ⎥ r r +⎣^ ⎦ Period 16% 17%^ 18%^ 19%^ 20%^

 - Appendix A: Financial Tables Y 

• 8% 9% 10% 11% 12% 13% 14% 15% 1 1.010 1.020 1.030 1.040 1.050 1.060 1.070 1.080 1.090 1.100 1.110 1.120 1.130 1. FVF r = + Period 1% 2% 3% 4% 5% 6% 7%
  • • 2 1.020 1.040 1.061 1.082 1.103 1.124 1.145 1.
    • 1.188 1.210 1.232 1.254 1.277 1.300 1.
      • 3 1.030 1.061 1.093 1.125 1.158 1.191 1.225 1.
      • 1.295 1.331 1.368 1.405 1.443 1.482 1.
        • 4 1.041 1.082 1.126 1.170 1.216 1.262 1.311 1.
        • 1.412 1.464 1.518 1.574 1.630 1.689 1.
          • 5 1.051 1.104 1.159 1.217 1.276 1.338 1.403 1.
          • 1.539 1.611 1.685 1.762 1.842 1.925 2.
            • 6 1.062 1.126 1.194 1.265 1.340 1.419 1.501 1.
            • 1.677 1.772 1.870 1.974 2.082 2.195 2.
              • 7 1.072 1.149 1.230 1.316 1.407 1.504 1.606 1.
              • 1.828 1.949 2.076 2.211 2.353 2.502 2.
                • 8 1.083 1.172 1.267 1.369 1.477 1.594 1.718 1.
                • 1.993 2.144 2.305 2.476 2.658 2.853 3.
                  • 9 1.094 1.195 1.305 1.423 1.551 1.689 1.838 1. - 2.172 2.358 2.558 2.773 3.004 3.252 3. - 10 1.105 1.219 1.344 1.480 1.629 1.791 1.967 2. - 2.367 2.594 2.839 3.106 3.395 3.707 4. - 11 1.116 1.243 1.384 1.539 1.710 1.898 2.105 2. - 2.580 2.853 3.152 3.479 3.836 4.226 4. - 12 1.127 1.268 1.426 1.601 1.796 2.012 2.252 2. - 2.813 3.138 3.498 3.896 4.335 4.818 5. - 13 1.138 1.294 1.469 1.665 1.886 2.133 2.410 2. - 3.066 3.452 3.883 4.363 4.898 5.492 6. - 14 1.149 1.319 1.513 1.732 1.980 2.261 2.579 2. - 3.342 3.797 4.310 4.887 5.535 6.261 7. - 15 1.161 1.346 1.558 1.801 2.079 2.397 2.759 3. - 3.642 4.177 4.785 5.474 6.254 7.138 8. - 16 1.173 1.373 1.605 1.873 2.183 2.540 2.952 3. - 3.970 4.595 5.311 6.130 7.067 8.137 9. - 17 1.184 1.400 1.653 1.948 2.292 2.693 3.159 3. - 4.328 5.054 5.895 6.866 7.986 9.276 10. - 18 1.196 1.428 1.702 2.026 2.407 2.854 3.380 3. - 4.717 5.560 6.544 7.690 9.024 10.575 12. - 19 1.208 1.457 1.754 2.107 2.527 3.026 3.617 4. - 5.142 6.116 7.263 8.613 10.197 12.056 14. - 20 1.220 1.486 1.806 2.191 2.653 3.207 3.870 4. - 5.604 6.727 8.062 9.646 11.523 13.743 16. - 21 1.232 1.516 1.860 2.279 2.786 3.400 4.141 5. - 6.109 7.400 8.949 10.804 13.021 15.668 18. - 22 1.245 1.546 1.916 2.370 2.925 3.604 4.430 5. - 6.659 8.140 9.934 12.100 14.714 17.861 21. - 23 1.257 1.577 1.974 2.465 3.072 3.820 4.741 5. - 7.258 8.954 11.026 13.552 16.627 20.362 24. - 24 1.270 1.608 2.033 2.563 3.225 4.049 5.072 6. - 7.911 9.850 12.239 15.179 18.788 23.212 28. - 25 1.282 1.641 2.094 2.666 3.386 4.292 5.427 6. - 8.623 10.835 13.585 17.000 21.231 26.462 32. - 30 1.348 1.811 2.427 3.243 4.322 5.743 7.612 10. - 13.268 17.449 22.892 29.960 39.116 50.950 66. - 35 1.417 2.000 2.814 3.946 5.516 7.686 10.677 14. - 20.414 28.102 38.575 52.800 72.069 98.100 133. - 40 1.489 2.208 3.262 4.801 7.040 10.286 14.974 21. - 31.409 45.259 65.001 93.051 132.782 188.884 267. - 45 1.565 2.438 3.782 5.841 8.985 13.765 21.002 31. - 48.327 72.890 109.530 163.988 244.641 363.679 538. - 50 1.645 2.692 4.384 7.107 11.467 18.420 29.457 46. - 74.358 117.391 184.565 289.002 450.736 700.233 1083. - n Periods n (1 ) FVF r = +%, r n Period 16% 17% 18% 19% 20% 25% 30% 35% 40% 45% 50% 1 1.160 1.170 1.180 1.190 1.200 1.250 1.300 1.350 1.400 1. Table A1 ( continued ) Future Value Factors for One Dollar Compounded at r Percent for - 1. - 2 1.346 1.369 1.392 1.416 1. - 1.563 1.690 1.823 1.960 2.103 2. - 3 1.561 1.602 1.643 1.685 1. - 1.953 2.197 2.460 2.744 3.049 3. - 4 1.811 1.874 1.939 2.005 2. - 2.441 2.856 3.322 3.842 4.421 5. - 5 2.100 2.192 2.288 2.386 2. - 3.052 3.713 4.484 5.378 6.410 7. - 6 2.436 2.565 2.700 2.840 2. - 3.815 4.827 6.053 7.530 9.294 11. - 7 2.826 3.001 3.185 3.379 3. - 4.768 6.275 8.172 10.541 13.476 17. - 8 3.278 3.511 3.759 4.021 4. - 5.960 8.157 11.032 14.758 19.541 25. - 9 3.803 4.108 4.435 4.785 5. - 7.451 10.604 14.894 20.661 28.334 38. - 10 4.411 4.807 5.234 5.695 6. - 9.313 13.786 20.107 28.925 41.085 57. - 11 5.117 5.624 6.176 6.777 7. - 11.642 17.922 27.144 40.496 59.573 86. - 12 5.936 6.580 7.288 8.064 8. - 14.552 23.298 36.644 56.694 86.381 129. - 13 6.886 7.699 8.599 9.596 10. - 18.190 30.288 49.470 79.371 125.252 194. - 14 7.988 9.007 10.147 11.420 12. - 22.737 39.374 66.784 111.120 181.615 291. - 15 9.266 10.539 11.974 13.590 15. - 28.422 51.186 90.158 155.568 263.342 437. - 16 10.748 12.330 14.129 16.172 18. - 35.527 66.542 121.714 217.795 381.846 656. - 17 12.468 14.426 16.672 19.244 22. - 44.409 86.504 164.314 304.913 553.676 985. - 18 14.463 16.879 19.673 22.901 26. - 55.511 112.455 221.824 426.879 802.831 1477. - 19 16.777 19.748 23.214 27.252 31. - 69.389 146.192 299.462 597.630 1164.105 2216. - 20 19.461 23.106 27.393 32.429 38. - 86.736 190.050 404.274 836.683 1687.952 3325. - 21 22.574 27.034 32.324 38.591 46. - 108.420 247.065 545.769 1171.356 2447.530 4987. - 22 26.186 31.629 38.142 45.923 55. - 135.525 321.184 736.789 1639.898 3548.919 7481. - 23 30.376 37.006 45.008 54.649 66. - 169.407 417.539 994.665 2295.857 5145.932 11222. - 24 35.236 43.297 53.109 65.032 79. - 211.758 542.801 1342.797 3214.200 7461.602 16834. - 25 40.874 50.658 62.669 77.388 95. - 264.698 705.641 1812.776 4499.880 10819.322 25251. - 30 85.850 111.065 143.371 184.675 237. - 807.794 2619.996 8128.550 24201.432 69348.978 191751. - 35 180.314 243.503 327.997 440.701 590. - 40 378.721 533.869 750.378 1051.668 1469. 2465.190 9727.860 36448.688 130161.112 444508.508 * - 45 795.444 1170.479 1716.684 2509.651 3657. 7523.164 36118.865 163437.135 700037.697 * * - 50 1670.704 2566.215 3927.357 5988.914 9100. 22958.874 134106.817 732857.577 * * * - Appendix A: Financial Tables Y - 1 0.990 0.980 0.971 0.962 0.952 0.943 0. 15% - 0.926 0.917 0.909 0.901 0.893 0.885 0.877 0. - 2 0.980 0.961 0.943 0.925 0.907 0.890 0. - 0.857 0.842 0.826 0.812 0.797 0.783 0.769 0. - 3 0.971 0.942 0.915 0.889 0.864 0.840 0. - 0.794 0.772 0.751 0.731 0.712 0.693 0.675 0. - 4 0.961 0.924 0.888 0.855 0.823 0.792 0. - 0.735 0.708 0.683 0.659 0.636 0.613 0.592 0. - 5 0.951 0.906 0.863 0.822 0.784 0.747 0. - 0.681 0.650 0.621 0.593 0.567 0.543 0.519 0. - 6 0.942 0.888 0.837 0.790 0.746 0.705 0. - 0.630 0.596 0.564 0.535 0.507 0.480 0.456 0. - 7 0.933 0.871 0.813 0.760 0.711 0.665 0. - 0.583 0.547 0.513 0.482 0.452 0.425 0.400 0. - 8 0.923 0.853 0.789 0.731 0.677 0.627 0. - 0.540 0.502 0.467 0.434 0.404 0.376 0.351 0. - 9 0.914 0.837 0.766 0.703 0.645 0.592 0. - 0.500 0.460 0.424 0.391 0.361 0.333 0.308 0. - 10 0.905 0.820 0.744 0.676 0.614 0.558 0. - 0.463 0.422 0.386 0.352 0.322 0.295 0.270 0. - 11 0.896 0.804 0.722 0.650 0.585 0.527 0. - 0.429 0.388 0.350 0.317 0.287 0.261 0.237 0. - 12 0.887 0.788 0.701 0.625 0.557 0.497 0. - 0.397 0.356 0.319 0.286 0.257 0.231 0.208 0. - 13 0.879 0.773 0.681 0.601 0.530 0.469 0. - 0.368 0.326 0.290 0.258 0.229 0.204 0.182 0. - 14 0.870 0.758 0.661 0.577 0.505 0.442 0. - 0.340 0.299 0.263 0.232 0.205 0.181 0.160 0. - 15 0.861 0.743 0.642 0.555 0.481 0.417 0. - 0.315 0.275 0.239 0.209 0.183 0.160 0.140 0. - 16 0.853 0.728 0.623 0.534 0.458 0.394 0. - 0.292 0.252 0.218 0.188 0.163 0.141 0.123 0. - 17 0.844 0.714 0.605 0.513 0.436 0.371 0. - 0.270 0.231 0.198 0.170 0.146 0.125 0.108 0. - 18 0.836 0.700 0.587 0.494 0.416 0.350 0. - 0.250 0.212 0.180 0.153 0.130 0.111 0.095 0. - 19 0.828 0.686 0.570 0.475 0.396 0.331 0. - 0.232 0.194 0.164 0.138 0.116 0.098 0.083 0. - 20 0.820 0.673 0.554 0.456 0.377 0.312 0. - 0.215 0.178 0.149 0.124 0.104 0.087 0.073 0. - 21 0.811 0.660 0.538 0.439 0.359 0.294 0. - 0.199 0.164 0.135 0.112 0.093 0.077 0.064 0. - 22 0.803 0.647 0.522 0.422 0.342 0.278 0. - 0.184 0.150 0.123 0.101 0.083 0.068 0.056 0. - 23 0.795 0.634 0.507 0.406 0.326 0.262 0. - 0.170 0.138 0.112 0.091 0.074 0.060 0.049 0. - 24 0.788 0.622 0.492 0.390 0.310 0.247 0. - 0.158 0.126 0.102 0.082 0.066 0.053 0.043 0. - 25 0.780 0.610 0.478 0.375 0.295 0.233 0. - 0.146 0.116 0.092 0.074 0.059 0.047 0.038 0. - 30 0.742 0.552 0.412 0.308 0.231 0.174 0. - 0.099 0.075 0.057 0.044 0.033 0.026 0.020 0. - 35 0.706 0.500 0.355 0.253 0.181 0.130 0. - 0.068 0.049 0.036 0.026 0.019 0.014 0.010 0. - 40 0.672 0.453 0.307 0.208 0.142 0.097 0. - 0.046 0.032 0.022 0.015 0.011 0.008 0.005 0. - 45 0.639 0.410 0.264 0.171 0.111 0.073 0. - 0.031 0.021 0.014 0.009 0.006 0.004 0.003 0. - 50 0.608 0.372 0.228 0.141 0.087 0.054 0. - 0.021 0.013 0.009 0.005 0.003 0.002 0.001 0. - Appendix A: Financial Tables Y - 1 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1. 9% 10% 11% 12% 13% 14% 15% - 1.000 1.000 1.000 1.000 1.000 1.000 1. - 2 2.010 2.020 2.030 2.040 2.050 2.060 2.070 2. - 2.090 2.100 2.110 2.120 2.130 2.140 2. - 3 3.030 3.060 3.091 3.122 3.153 3.184 3.215 3. - 3.278 3.310 3.342 3.374 3.407 3.440 3. - 4 4.060 4.122 4.184 4.246 4.310 4.375 4.440 4. - 4.573 4.641 4.710 4.779 4.850 4.921 4. - 5 5.101 5.204 5.309 5.416 5.526 5.637 5.751 5. - 5.985 6.105 6.228 6.353 6.480 6.610 6. - 6 6.152 6.308 6.468 6.633 6.802 6.975 7.153 7. - 7.523 7.716 7.913 8.115 8.323 8.536 8. - 7 7.214 7.434 7.662 7.898 8.142 8.394 8.654 8. - 9.200 9.487 9.783 10.089 10.405 10.730 11. - 8 8.286 8.583 8.892 9.214 9.549 9.897 10.260 10. - 11.028 11.436 11.859 12.300 12.757 13.233 13. - 9 9.369 9.755 10.159 10.583 11.027 11.491 11.978 12. - 13.021 13.579 14.164 14.776 15.416 16.085 16. - 10 10.462 10.950 11.464 12.006 12.578 13.181 13.816 14. - 15.193 15.937 16.722 17.549 18.420 19.337 20. - 11 11.567 12.169 12.808 13.486 14.207 14.972 15.784 16. - 17.560 18.531 19.561 20.655 21.814 23.045 24. - 12 12.683 13.412 14.192 15.026 15.917 16.870 17.888 18. - 20.141 21.384 22.713 24.133 25.650 27.271 29. - 13 13.809 14.680 15.618 16.627 17.713 18.882 20.141 21. - 22.953 24.523 26.212 28.029 29.985 32.089 34. - 14 14.947 15.974 17.086 18.292 19.599 21.015 22.550 24. - 26.019 27.975 30.095 32.393 34.883 37.581 40. - 15 16.097 17.293 18.599 20.024 21.579 23.276 25.129 27. - 29.361 31.772 34.405 37.280 40.417 43.842 47. - 16 17.258 18.639 20.157 21.825 23.657 25.673 27.888 30. - 33.003 35.950 39.190 42.753 46.672 50.980 55. - 17 18.430 20.012 21.762 23.698 25.840 28.213 30.840 33. - 36.974 40.545 44.501 48.884 53.739 59.118 65. - 18 19.615 21.412 23.414 25.645 28.132 30.906 33.999 37. - 41.301 45.599 50.396 55.750 61.725 68.394 75. - 19 20.811 22.841 25.117 27.671 30.539 33.760 37.379 41. - 46.018 51.159 56.939 63.440 70.749 78.969 88. - 20 22.019 24.297 26.870 29.778 33.066 36.786 40.995 45. - 51.160 57.275 64.203 72.052 80.947 91.025 102. - 21 23.239 25.783 28.676 31.969 35.719 39.993 44.865 50. - 56.765 64.002 72.265 81.699 92.470 104.768 118. - 22 24.472 27.299 30.537 34.248 38.505 43.392 49.006 55. - 62.873 71.403 81.214 92.503 105.491 120.436 137. - 23 25.716 28.845 32.453 36.618 41.430 46.996 53.436 60. - 69.532 79.543 91.148 104.603 120.205 138.297 159. - 24 26.973 30.422 34.426 39.083 44.502 50.816 58.177 66. - 76.790 88.497 102.174 118.155 136.831 158.659 184. - 25 28.243 32.030 36.459 41.646 47.727 54.865 63.249 73. - 84.701 98.347 114.413 133.334 155.620 181.871 212. - 30 34.785 40.568 47.575 56.085 66.439 79.058 94.461 113. - 136.308 164.494 199.021 241.333 293.199 356.787 434. - 35 41.660 49.994 60.462 73.652 90.320 111.435 138.237 172. - 215.711 271.024 341.590 431.663 546.681 693.573 881. - 40 48.886 60.402 75.401 95.026 120.800 154.762 199.635 259. - 337.882 442.593 581.826 767.091 1013.704 1342.025 1779. - 45 56.481 71.893 92.720 121.029 159.700 212.744 285.749 386. - 525.859 718.905 986.639 1358.230 1874.165 2590.565 3585. - 50 64.463 84.579 112.797 152.667 209.348 290.336 406.529 573. - 815.084 1163.909 1668.771 2400.018 3459.507 4994.521 7217. - 1 1.000 1.000 1.000 1.000 1. 30% 35% 40% 45% 50% - 1.000 1.000 1.000 1.000 1.000 1. - 2 2.160 2.170 2.180 2.190 2. - 2.250 2.300 2.350 2.400 2.450 2. - 3 3.506 3.539 3.572 3.606 3. - 3.813 3.990 4.173 4.360 4.553 4. - 4 5.066 5.141 5.215 5.291 5. - 5.766 6.187 6.633 7.104 7.601 8. - 5 6.877 7.014 7.154 7.297 7. - 8.207 9.043 9.954 10.946 12.022 13. - 6 8.977 9.207 9.442 9.683 9. - 11.259 12.756 14.438 16.324 18.431 20. - 7 11.414 11.772 12.142 12.523 12. - 15.073 17.583 20.492 23.853 27.725 32. - 8 14.240 14.773 15.327 15.902 16. - 19.842 23.858 28.664 34.395 41.202 49. - 9 17.519 18.285 19.086 19.923 20. - 25.802 32.015 39.696 49.153 60.743 74. - 10 21.321 22.393 23.521 24.709 25. - 33.253 42.619 54.590 69.814 89.077 113. - 11 25.733 27.200 28.755 30.404 32. - 42.566 56.405 74.697 98.739 130.162 170. - 12 30.850 32.824 34.931 37.180 39. - 54.208 74.327 101.841 139.235 189.735 257. - 13 36.786 39.404 42.219 45.244 48. - 68.760 97.625 138.485 195.929 276.115 387. - 14 43.672 47.103 50.818 54.841 59. - 86.949 127.913 187.954 275.300 401.367 581. - 15 51.660 56.110 60.965 66.261 72. - 109.687 167.286 254.738 386.420 582.982 873. - 16 60.925 66.649 72.939 79.850 87. - 138.109 218.472 344.897 541.988 846.324 1311. - 17 71.673 78.979 87.068 96.022 105. - 173.636 285.014 466.611 759.784 1228.170 1968. - 18 84.141 93.406 103.740 115.266 128. - 218.045 371.518 630.925 1064.697 1781.846 2953. - 19 98.603 110.285 123.414 138.166 154. - 273.556 483.973 852.748 1491.576 2584.677 4431. - 20 115.380 130.033 146.628 165.418 186. - 342.945 630.165 1152.210 2089.206 3748.782 6648. - 21 134.841 153.139 174.021 197.847 225. - 429.681 820.215 1556.484 2925.889 5436.734 9973. - 22 157.415 180.172 206.345 236.438 271. - 538.101 1067.280 2102.253 4097.245 7884.264 14961. - 23 183.601 211.801 244.487 282.362 326. - 673.626 1388.464 2839.042 5737.142 11433.182 22443. - 24 213.978 248.808 289.494 337.010 392. - 843.033 1806.003 3833.706 8032.999 16579.115 33666. - 25 249.214 292.105 342.603 402.042 471. - 1054.791 2348.803 5176.504 11247.199 24040.716 50500. - 30 530.312 647.439 790.948 966.712 1181. - 3227.174 8729.985 23221.570 60501.081 154106.618 383500. - 35 1120.713 1426.491 1816.652 2314.214 2948. - 40 2360.757 3134.522 4163.213 5529.829 7343.858 30088. 9856.761 32422.868 104136.251 325400.279 987794.463 * - 45 4965.274 6879.291 9531.577 13203.424 18281.310 91831. 120392.883 466960.385 * * * - 50 10435.649 15089.502 21813.094 31515.336 45497.191 280255. 447019.389 * * * * - Appendix A: Financial Tables Y - 1 0.990 0.980 0.971 0.962 0.952 0.943 0. 15% - 0.926 0.917 0.909 0.901 0.893 0.885 0.877 0. - 2 1.970 1.942 1.913 1.886 1.859 1.833 1. - 1.783 1.759 1.736 1.713 1.690 1.668 1.647 1. - 3 2.941 2.884 2.829 2.775 2.723 2.673 2. - 2.577 2.531 2.487 2.444 2.402 2.361 2.322 2. - 4 3.902 3.808 3.717 3.630 3.546 3.465 3. - 3.312 3.240 3.170 3.102 3.037 2.974 2.914 2. - 5 4.853 4.713 4.580 4.452 4.329 4.212 4. - 3.993 3.890 3.791 3.696 3.605 3.517 3.433 3. - 6 5.795 5.601 5.417 5.242 5.076 4.917 4. - 4.623 4.486 4.355 4.231 4.111 3.998 3.889 3. - 7 6.728 6.472 6.230 6.002 5.786 5.582 5. - 5.206 5.033 4.868 4.712 4.564 4.423 4.288 4. - 8 7.652 7.325 7.020 6.733 6.463 6.210 5. - 5.747 5.535 5.335 5.146 4.968 4.799 4.639 4. - 9 8.566 8.162 7.786 7.435 7.108 6.802 6. - 6.247 5.995 5.759 5.537 5.328 5.132 4.946 4. - 10 9.471 8.983 8.530 8.111 7.722 7.360 7. - 6.710 6.418 6.145 5.889 5.650 5.426 5.216 5. - 11 10.368 9.787 9.253 8.760 8.306 7.887 7. - 7.139 6.805 6.495 6.207 5.938 5.687 5.453 5. - 12 11.255 10.575 9.954 9.385 8.863 8.384 7. - 7.536 7.161 6.814 6.492 6.194 5.918 5.660 5. - 13 12.134 11.348 10.635 9.986 9.394 8.853 8. - 7.904 7.487 7.103 6.750 6.424 6.122 5.842 5. - 14 13.004 12.106 11.296 10.563 9.899 9.295 8. - 8.244 7.786 7.367 6.982 6.628 6.302 6.002 5. - 15 13.865 12.849 11.938 11.118 10.380 9.712 9. - 8.559 8.061 7.606 7.191 6.811 6.462 6.142 5. - 16 14.718 13.578 12.561 11.652 10.838 10.106 9. - 8.851 8.313 7.824 7.379 6.974 6.604 6.265 5. - 17 15.562 14.292 13.166 12.166 11.274 10.477 9. - 9.122 8.544 8.022 7.549 7.120 6.729 6.373 6. - 18 16.398 14.992 13.754 12.659 11.690 10.828 10. - 9.372 8.756 8.201 7.702 7.250 6.840 6.467 6. - 19 17.226 15.678 14.324 13.134 12.085 11.158 10. - 9.604 8.950 8.365 7.839 7.366 6.938 6.550 6. - 20 18.046 16.351 14.877 13.590 12.462 11.470 10. - 9.818 9.129 8.514 7.963 7.469 7.025 6.623 6. - 21 18.857 17.011 15.415 14.029 12.821 11.764 10. - 10.017 9.292 8.649 8.075 7.562 7.102 6.687 6. - 22 19.660 17.658 15.937 14.451 13.163 12.042 11. - 10.201 9.442 8.772 8.176 7.645 7.170 6.743 6. - 23 20.456 18.292 16.444 14.857 13.489 12.303 11. - 10.371 9.580 8.883 8.266 7.718 7.230 6.792 6. - 24 21.243 18.914 16.936 15.247 13.799 12.550 11. - 10.529 9.707 8.985 8.348 7.784 7.283 6.835 6. - 25 22.023 19.523 17.413 15.622 14.094 12.783 11. - 10.675 9.823 9.077 8.422 7.843 7.330 6.873 6. - 30 25.808 22.396 19.600 17.292 15.372 13.765 12. - 11.258 10.274 9.427 8.694 8.055 7.496 7.003 6. - 35 29.409 24.999 21.487 18.665 16.374 14.498 12. - 11.655 10.567 9.644 8.855 8.176 7.586 7.070 6. - 40 32.835 27.355 23.115 19.793 17.159 15.046 13. - 11.925 10.757 9.779 8.951 8.244 7.634 7.105 6. - 45 36.095 29.490 24.519 20.720 17.774 15.456 13. - 12.108 10.881 9.863 9.008 8.283 7.661 7.123 6. - 50 39.196 31.424 25.730 21.482 18.256 15.762 13. - 12.233 10.962 9.915 9.042 8.304 7.675 7.133 6. - 1 0.862 0.855 0.847 0.840 0. 25% 30% 35% 40% 45% 50% - 0.800 0.769 0.741 0.714 0.690 0. - 2 1.605 1.585 1.566 1.547 1. - 1.440 1.361 1.289 1.224 1.165 1. - 3 2.246 2.210 2.174 2.140 2. - 1.952 1.816 1.696 1.589 1.493 1. - 4 2.798 2.743 2.690 2.639 2. - 2.362 2.166 1.997 1.849 1.720 1. - 5 3.274 3.199 3.127 3.058 2. - 2.689 2.436 2.220 2.035 1.876 1. - 6 3.685 3.589 3.498 3.410 3. - 2.951 2.643 2.385 2.168 1.983 1. - 7 4.039 3.922 3.812 3.706 3. - 3.161 2.802 2.508 2.263 2.057 1. - 8 4.344 4.207 4.078 3.954 3. - 3.329 2.925 2.598 2.331 2.109 1. - 9 4.607 4.451 4.303 4.163 4. - 3.463 3.019 2.665 2.379 2.144 1. - 10 4.833 4.659 4.494 4.339 4. - 3.571 3.092 2.715 2.414 2.168 1. - 11 5.029 4.836 4.656 4.486 4. - 3.656 3.147 2.752 2.438 2.185 1. - 12 5.197 4.988 4.793 4.611 4. - 3.725 3.190 2.779 2.456 2.196 1. - 13 5.342 5.118 4.910 4.715 4. - 3.780 3.223 2.799 2.469 2.204 1. - 14 5.468 5.229 5.008 4.802 4. - 3.824 3.249 2.814 2.478 2.210 1. - 15 5.575 5.324 5.092 4.876 4. - 3.859 3.268 2.825 2.484 2.214 1. - 16 5.668 5.405 5.162 4.938 4. - 3.887 3.283 2.834 2.489 2.216 1. - 17 5.749 5.475 5.222 4.990 4. - 3.910 3.295 2.840 2.492 2.218 1. - 18 5.818 5.534 5.273 5.033 4. - 3.928 3.304 2.844 2.494 2.219 1. - 19 5.877 5.584 5.316 5.070 4. - 3.942 3.311 2.848 2.496 2.220 1. - 20 5.929 5.628 5.353 5.101 4. - 3.954 3.316 2.850 2.497 2.221 1. - 21 5.973 5.665 5.384 5.127 4. - 3.963 3.320 2.852 2.498 2.221 2. - 22 6.011 5.696 5.410 5.149 4. - 3.970 3.323 2.853 2.498 2.222 2. - 23 6.044 5.723 5.432 5.167 4. - 3.976 3.325 2.854 2.499 2.222 2. - 24 6.073 5.746 5.451 5.182 4. - 3.981 3.327 2.855 2.499 2.222 2. - 25 6.097 5.766 5.467 5.195 4. - 3.985 3.329 2.856 2.499 2.222 2. - 30 6.177 5.829 5.517 5.235 4. - 3.995 3.332 2.857 2.500 2.222 2. - 35 6.215 5.858 5.539 5.251 4. - 3.998 3.333 2.857 2.500 2.222 2. - 40 6.233 5.871 5.548 5.258 4. - 3.999 3.333 2.857 2.500 2.222 2. - 45 6.242 5.877 5.552 5.261 4. - 4.000 3.333 2.857 2.500 2.222 2. - 50 6.246 5.880 5.554 5.262 4. - 4.000 3.333 2.857 2.500 2.222 2.