|
The present value of an annuity in which the yearly payment at the end of each of n years is A, at an interest rate i compounded annually, is P = A(1-(1 + i)-n)/i.
- You need to find the present value for an annuity in which $1000 is invested at the end of each year for the next 5 years at a discount rate of 7½% p.a.
- Find the column with N Years = 5
- Find the row 7½%, the number inside the cell is 4.04588
- The present value for the annuity would be 1000 × 4.04588 = $4045.88
| i % | N Years |
|---|
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
|---|
| 1 | 0.99010 | 1.97040 | 2.94099 | 3.90197 | 4.85343 | 5.79548 | 6.72819 | 7.65168 | 8.56602 | 9.47130 |
|---|
| 1¼ | 0.98765 | 1.96312 | 2.92653 | 3.87806 | 4.81784 | 5.74601 | 6.66273 | 7.56812 | 8.46234 | 9.34553 |
|---|
| 1½ | 0.98522 | 1.95588 | 2.91220 | 3.85438 | 4.78264 | 5.69719 | 6.59821 | 7.48593 | 8.36052 | 9.22218 |
|---|
| 1¾ | 0.98280 | 1.94870 | 2.89798 | 3.83094 | 4.74786 | 5.64900 | 6.53464 | 7.40505 | 8.26049 | 9.10122 |
|---|
| 2 | 0.98039 | 1.94156 | 2.88388 | 3.80773 | 4.71346 | 5.60143 | 6.47199 | 7.32548 | 8.16224 | 8.98259 |
|---|
| 2¼ | 0.97800 | 1.93447 | 2.86990 | 3.78474 | 4.67945 | 5.55448 | 6.41025 | 7.24718 | 8.06571 | 8.86622 |
|---|
| 2½ | 0.97561 | 1.92742 | 2.85602 | 3.76197 | 4.64583 | 5.50813 | 6.34939 | 7.17014 | 7.97087 | 8.75206 |
|---|
| 2¾ | 0.97324 | 1.92042 | 2.84226 | 3.73943 | 4.61258 | 5.46237 | 6.28941 | 7.09431 | 7.87768 | 8.64008 |
|---|
| 3 | 0.97087 | 1.91347 | 2.82861 | 3.71710 | 4.57971 | 5.41719 | 6.23028 | 7.01969 | 7.78611 | 8.53020 |
|---|
| 3¼ | 0.96852 | 1.90656 | 2.81507 | 3.69498 | 4.54720 | 5.37259 | 6.17200 | 6.94625 | 7.69612 | 8.42240 |
|---|
| 3½ | 0.96618 | 1.89969 | 2.80164 | 3.67308 | 4.51505 | 5.32855 | 6.11454 | 6.87396 | 7.60769 | 8.31661 |
|---|
| 3¾ | 0.96386 | 1.89287 | 2.78831 | 3.65138 | 4.48326 | 5.28507 | 6.05790 | 6.80280 | 7.52077 | 8.21279 |
|---|
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
|---|
| 4 | 0.96154 | 1.88609 | 2.77509 | 3.62990 | 4.45182 | 5.24214 | 6.00205 | 6.73274 | 7.43533 | 8.11090 |
|---|
| 4¼ | 0.95923 | 1.87936 | 2.76198 | 3.60861 | 4.42073 | 5.19974 | 5.94699 | 6.66378 | 7.35135 | 8.01089 |
|---|
| 4½ | 0.95694 | 1.87267 | 2.74896 | 3.58753 | 4.38998 | 5.15787 | 5.89270 | 6.59589 | 7.26879 | 7.91272 |
|---|
| 4¾ | 0.95465 | 1.86602 | 2.73606 | 3.56664 | 4.35956 | 5.11653 | 5.83917 | 6.52904 | 7.18762 | 7.81635 |
|---|
| 5 | 0.95238 | 1.85941 | 2.72325 | 3.54595 | 4.32948 | 5.07569 | 5.78637 | 6.46321 | 7.10782 | 7.72173 |
|---|
| 5¼ | 0.95012 | 1.85284 | 2.71054 | 3.52545 | 4.29972 | 5.03536 | 5.73431 | 6.39840 | 7.02935 | 7.62884 |
|---|
| 5½ | 0.94787 | 1.84632 | 2.69793 | 3.50515 | 4.27028 | 4.99553 | 5.68297 | 6.33457 | 6.95220 | 7.53763 |
|---|
| 5¾ | 0.94563 | 1.83984 | 2.68542 | 3.48503 | 4.24117 | 4.95619 | 5.63233 | 6.27170 | 6.87632 | 7.44805 |
|---|
| 6 | 0.94340 | 1.83339 | 2.67301 | 3.46511 | 4.21236 | 4.91732 | 5.58238 | 6.20979 | 6.80169 | 7.36009 |
|---|
| 6¼ | 0.94118 | 1.82699 | 2.66070 | 3.44536 | 4.18387 | 4.87894 | 5.53312 | 6.14882 | 6.72830 | 7.27369 |
|---|
| 6½ | 0.93897 | 1.82063 | 2.64848 | 3.42580 | 4.15568 | 4.84101 | 5.48452 | 6.08875 | 6.65610 | 7.18883 |
|---|
| 6¾ | 0.93677 | 1.81430 | 2.63635 | 3.40642 | 4.12779 | 4.80355 | 5.43658 | 6.02958 | 6.58509 | 7.10547 |
|---|
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
|---|
| 7 | 0.93458 | 1.80802 | 2.62432 | 3.38721 | 4.10020 | 4.76654 | 5.38929 | 5.97130 | 6.51523 | 7.02358 |
|---|
| 7¼ | 0.93240 | 1.80177 | 2.61238 | 3.36818 | 4.07290 | 4.72997 | 5.34263 | 5.91388 | 6.44651 | 6.94313 |
|---|
| 7½ | 0.93023 | 1.79557 | 2.60053 | 3.34933 | 4.04588 | 4.69385 | 5.29660 | 5.85730 | 6.37889 | 6.86408 |
|---|
| 7¾ | 0.92807 | 1.78940 | 2.58877 | 3.33064 | 4.01916 | 4.65815 | 5.25118 | 5.80156 | 6.31236 | 6.78641 |
|---|
| 8 | 0.92593 | 1.78326 | 2.57710 | 3.31213 | 3.99271 | 4.62288 | 5.20637 | 5.74664 | 6.24689 | 6.71008 |
|---|
| 8¼ | 0.92379 | 1.77717 | 2.56552 | 3.29378 | 3.96654 | 4.58803 | 5.16215 | 5.69252 | 6.18246 | 6.63507 |
|---|
| 8½ | 0.92166 | 1.77111 | 2.55402 | 3.27560 | 3.94064 | 4.55359 | 5.11851 | 5.63918 | 6.11906 | 6.56135 |
|---|
| 8¾ | 0.91954 | 1.76509 | 2.54262 | 3.25758 | 3.91501 | 4.51955 | 5.07545 | 5.58662 | 6.05666 | 6.48889 |
|---|
| 9 | 0.91743 | 1.75911 | 2.53129 | 3.23972 | 3.88965 | 4.48592 | 5.03295 | 5.53482 | 5.99525 | 6.41766 |
|---|
| 9¼ | 0.91533 | 1.75316 | 2.52006 | 3.22202 | 3.86455 | 4.45268 | 4.99101 | 5.48376 | 5.93479 | 6.34764 |
|---|
| 9½ | 0.91324 | 1.74725 | 2.50891 | 3.20448 | 3.83971 | 4.41983 | 4.94961 | 5.43344 | 5.87528 | 6.27880 |
|---|
| 9¾ | 0.91116 | 1.74138 | 2.49784 | 3.18710 | 3.81512 | 4.38735 | 4.90875 | 5.38383 | 5.81670 | 6.21112 |
|---|
| 10 | 0.90909 | 1.73554 | 2.48685 | 3.16987 | 3.79079 | 4.35526 | 4.86842 | 5.33493 | 5.75902 | 6.14457 |
|---|
| i % | N Years |
|---|
| 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 |
|---|
| 1 | 10.3676 | 11.2551 | 12.1337 | 13.0037 | 13.8651 | 14.7179 | 15.5623 | 16.3983 | 17.2260 | 18.0456 |
|---|
| 1¼ | 10.2178 | 11.0793 | 11.9302 | 12.7706 | 13.6005 | 14.4203 | 15.2299 | 16.0295 | 16.8193 | 17.5993 |
|---|
| 1½ | 10.0711 | 10.9075 | 11.7315 | 12.5434 | 13.3432 | 14.1313 | 14.9076 | 15.6726 | 16.4262 | 17.1686 |
|---|
| 1¾ | 9.92749 | 10.7395 | 11.5376 | 12.3220 | 13.0929 | 13.8505 | 14.5951 | 15.3269 | 16.0461 | 16.7529 |
|---|
| 2 | 9.78685 | 10.5753 | 11.3484 | 12.1062 | 12.8493 | 13.5777 | 14.2919 | 14.9920 | 15.6785 | 16.3514 |
|---|
| 2¼ | 9.64911 | 10.4148 | 11.1636 | 11.8959 | 12.6122 | 13.3126 | 13.9977 | 14.6677 | 15.3229 | 15.9637 |
|---|
| 2½ | 9.51421 | 10.2578 | 10.9832 | 11.6909 | 12.3814 | 13.0550 | 13.7122 | 14.3534 | 14.9789 | 15.5892 |
|---|
| 2¾ | 9.38207 | 10.1042 | 10.8070 | 11.4910 | 12.1567 | 12.8046 | 13.4351 | 14.0488 | 14.6460 | 15.2273 |
|---|
| 3 | 9.25262 | 9.95400 | 10.6350 | 11.2961 | 11.9379 | 12.5611 | 13.1661 | 13.7535 | 14.3238 | 14.8775 |
|---|
| 3¼ | 9.12581 | 9.80708 | 10.4669 | 11.1060 | 11.7249 | 12.3244 | 12.9049 | 13.4673 | 14.0119 | 14.5393 |
|---|
| 3½ | 9.00155 | 9.66333 | 10.3027 | 10.9205 | 11.5174 | 12.0941 | 12.6513 | 13.1897 | 13.7098 | 14.2124 |
|---|
| 3¾ | 8.87979 | 9.52269 | 10.1424 | 10.7396 | 11.3153 | 11.8702 | 12.4050 | 12.9205 | 13.4173 | 13.8962 |
|---|
| 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 |
|---|
| 4 | 8.76048 | 9.38507 | 9.98565 | 10.5631 | 11.1184 | 11.6523 | 12.1657 | 12.6593 | 13.1339 | 13.5903 |
|---|
| 4¼ | 8.64354 | 9.25039 | 9.83251 | 10.3909 | 10.9265 | 11.4403 | 11.9332 | 12.4059 | 12.8594 | 13.2944 |
|---|
| 4½ | 8.52892 | 9.11858 | 9.68285 | 10.2228 | 10.7395 | 11.2340 | 11.7072 | 12.1600 | 12.5933 | 13.0079 |
|---|
| 4¾ | 8.41656 | 8.98956 | 9.53657 | 10.0588 | 10.5573 | 11.0332 | 11.4876 | 11.9213 | 12.3354 | 12.7307 |
|---|
| 5 | 8.30641 | 8.86325 | 9.39357 | 9.89864 | 10.3797 | 10.8378 | 11.2741 | 11.6896 | 12.0853 | 12.4622 |
|---|
| 5¼ | 8.19842 | 8.73959 | 9.25377 | 9.74230 | 10.2065 | 10.6475 | 11.0665 | 11.4646 | 11.8428 | 12.2022 |
|---|
| 5½ | 8.09254 | 8.61852 | 9.11708 | 9.58965 | 10.0376 | 10.4622 | 10.8646 | 11.2461 | 11.6077 | 11.9504 |
|---|
| 5¾ | 7.98870 | 8.49996 | 8.98341 | 9.44058 | 9.87289 | 10.2817 | 10.6683 | 11.0338 | 11.3795 | 11.7064 |
|---|
| 6 | 7.88687 | 8.38384 | 8.85268 | 9.29498 | 9.71225 | 10.1059 | 10.4773 | 10.8276 | 11.1581 | 11.4699 |
|---|
| 6¼ | 7.78700 | 8.27012 | 8.72482 | 9.15277 | 9.55555 | 9.93463 | 10.2914 | 10.6272 | 10.9433 | 11.2407 |
|---|
| 6½ | 7.68904 | 8.15873 | 8.59974 | 9.01384 | 9.40267 | 9.76776 | 10.1106 | 10.4325 | 10.7347 | 11.0185 |
|---|
| 6¾ | 7.59295 | 8.04960 | 8.47738 | 8.87810 | 9.25349 | 9.60515 | 9.93456 | 10.2432 | 10.5322 | 10.8030 |
|---|
| 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 |
|---|
| 7 | 7.49867 | 7.94269 | 8.35765 | 8.74547 | 9.10791 | 9.44665 | 9.76322 | 10.0591 | 10.3356 | 10.5940 |
|---|
| 7¼ | 7.40618 | 7.83793 | 8.24049 | 8.61585 | 8.96582 | 9.29214 | 9.59640 | 9.88010 | 10.1446 | 10.3912 |
|---|
| 7½ | 7.31542 | 7.73528 | 8.12584 | 8.48915 | 8.82712 | 9.14151 | 9.43396 | 9.70601 | 9.95908 | 10.1945 |
|---|
| 7¾ | 7.22637 | 7.63468 | 8.01362 | 8.36531 | 8.69170 | 8.99462 | 9.27575 | 9.53666 | 9.77880 | 10.0035 |
|---|
| 8 | 7.13896 | 7.53608 | 7.90378 | 8.24424 | 8.55948 | 8.85137 | 9.12164 | 9.37189 | 9.60360 | 9.81815 |
|---|
| 8¼ | 7.05318 | 7.43943 | 7.79624 | 8.12586 | 8.43035 | 8.71164 | 8.97149 | 9.21154 | 9.43330 | 9.63815 |
|---|
| 8½ | 6.96898 | 7.34469 | 7.69095 | 8.01010 | 8.30424 | 8.57533 | 8.82519 | 9.05548 | 9.26772 | 9.46334 |
|---|
| 8¾ | 6.88633 | 7.25180 | 7.58786 | 7.89688 | 8.18104 | 8.44234 | 8.68261 | 8.90355 | 9.10671 | 9.29353 |
|---|
| 9 | 6.80519 | 7.16073 | 7.48690 | 7.78615 | 8.06069 | 8.31256 | 8.54363 | 8.75563 | 8.95011 | 9.12855 |
|---|
| 9¼ | 6.72553 | 7.07142 | 7.38803 | 7.67783 | 7.94309 | 8.18590 | 8.40814 | 8.61157 | 8.79778 | 8.96822 |
|---|
| 9½ | 6.64730 | 6.98384 | 7.29118 | 7.57185 | 7.82818 | 8.06226 | 8.27604 | 8.47127 | 8.64956 | 8.81238 |
|---|
| 9¾ | 6.57049 | 6.89794 | 7.19630 | 7.46816 | 7.71586 | 7.94156 | 8.14721 | 8.33459 | 8.50532 | 8.66088 |
|---|
| 10 | 6.49506 | 6.81369 | 7.10336 | 7.36669 | 7.60608 | 7.82371 | 8.02155 | 8.20141 | 8.36492 | 8.51356 |
|---|
| i % | N Years |
|---|
| 21 | 22 | 23 | 24 | 25 | 26 | 27 | 28 | 29 | 30 |
|---|
| 1 | 18.8570 | 19.6604 | 20.4558 | 21.2434 | 22.0232 | 22.7952 | 23.5596 | 24.3164 | 25.0658 | 25.8077 |
|---|
| 1¼ | 18.3697 | 19.1306 | 19.8820 | 20.6242 | 21.3573 | 22.0813 | 22.7963 | 23.5025 | 24.2000 | 24.8889 |
|---|
| 1½ | 17.9001 | 18.6208 | 19.3309 | 20.0304 | 20.7196 | 21.3986 | 22.0676 | 22.7267 | 23.3761 | 24.0158 |
|---|
| 1¾ | 17.4475 | 18.1303 | 18.8012 | 19.4607 | 20.1088 | 20.7457 | 21.3717 | 21.9870 | 22.5916 | 23.1858 |
|---|
| 2 | 17.0112 | 17.6580 | 18.2922 | 18.9139 | 19.5235 | 20.1210 | 20.7069 | 21.2813 | 21.8444 | 22.3965 |
|---|
| 2¼ | 16.5904 | 17.2034 | 17.8028 | 18.3890 | 18.9624 | 19.5231 | 20.0715 | 20.6078 | 21.1323 | 21.6453 |
|---|
| 2½ | 16.1845 | 16.7654 | 17.3321 | 17.8850 | 18.4244 | 18.9506 | 19.4640 | 19.9649 | 20.4535 | 20.9303 |
|---|
| 2¾ | 15.7929 | 16.3435 | 16.8793 | 17.4008 | 17.9083 | 18.4023 | 18.8830 | 19.3508 | 19.8062 | 20.2493 |
|---|
| 3 | 15.4150 | 15.9369 | 16.4436 | 16.9355 | 17.4131 | 17.8768 | 18.3270 | 18.7641 | 19.1885 | 19.6004 |
|---|
| 3¼ | 15.0502 | 15.5450 | 16.0242 | 16.4883 | 16.9379 | 17.3732 | 17.7949 | 18.2033 | 18.5988 | 18.9819 |
|---|
| 3½ | 14.6980 | 15.1671 | 15.6204 | 16.0584 | 16.4815 | 16.8904 | 17.2854 | 17.6670 | 18.0358 | 18.3920 |
|---|
| 3¾ | 14.3578 | 14.8027 | 15.2315 | 15.6448 | 16.0432 | 16.4272 | 16.7973 | 17.1540 | 17.4978 | 17.8292 |
|---|
| 21 | 22 | 23 | 24 | 25 | 26 | 27 | 28 | 29 | 30 |
|---|
| 4 | 14.0292 | 14.4511 | 14.8568 | 15.2470 | 15.6221 | 15.9828 | 16.3296 | 16.6631 | 16.9837 | 17.2920 |
|---|
| 4¼ | 13.7116 | 14.1119 | 14.4958 | 14.8641 | 15.2173 | 15.5562 | 15.8812 | 16.1930 | 16.4921 | 16.7790 |
|---|
| 4½ | 13.4047 | 13.7844 | 14.1478 | 14.4955 | 14.8282 | 15.1466 | 15.4513 | 15.7429 | 16.0219 | 16.2889 |
|---|
| 4¾ | 13.1080 | 13.4683 | 13.8122 | 14.1405 | 14.4540 | 14.7532 | 15.0389 | 15.3116 | 15.5719 | 15.8204 |
|---|
| 5 | 12.8212 | 13.1630 | 13.4886 | 13.7986 | 14.0939 | 14.3752 | 14.6430 | 14.8981 | 15.1411 | 15.3725 |
|---|
| 5¼ | 12.5437 | 12.8681 | 13.1763 | 13.4692 | 13.7475 | 14.0118 | 14.2630 | 14.5017 | 14.7285 | 14.9439 |
|---|
| 5½ | 12.2752 | 12.5832 | 12.8750 | 13.1517 | 13.4139 | 13.6625 | 13.8981 | 14.1214 | 14.3331 | 14.5337 |
|---|
| 5¾ | 12.0155 | 12.3078 | 12.5842 | 12.8456 | 13.0927 | 13.3265 | 13.5475 | 13.7565 | 13.9541 | 14.1410 |
|---|
| 6 | 11.7641 | 12.0416 | 12.3034 | 12.5504 | 12.7834 | 13.0032 | 13.2105 | 13.4062 | 13.5907 | 13.7648 |
|---|
| 6¼ | 11.5207 | 11.7842 | 12.0322 | 12.2656 | 12.4852 | 12.6920 | 12.8866 | 13.0697 | 13.2421 | 13.4043 |
|---|
| 6½ | 11.2850 | 11.5352 | 11.7701 | 11.9907 | 12.1979 | 12.3924 | 12.5750 | 12.7465 | 12.9075 | 13.0587 |
|---|
| 6¾ | 11.0567 | 11.2943 | 11.5169 | 11.7255 | 11.9208 | 12.1038 | 12.2752 | 12.4358 | 12.5862 | 12.7272 |
|---|
| 21 | 22 | 23 | 24 | 25 | 26 | 27 | 28 | 29 | 30 |
|---|
| 7 | 10.8355 | 11.0612 | 11.2722 | 11.4693 | 11.6536 | 11.8258 | 11.9867 | 12.1371 | 12.2777 | 12.4090 |
|---|
| 7¼ | 10.6212 | 10.8356 | 11.0355 | 11.2220 | 11.3958 | 11.5578 | 11.7089 | 11.8498 | 11.9812 | 12.1037 |
|---|
| 7½ | 10.4135 | 10.6172 | 10.8067 | 10.9830 | 11.1469 | 11.2995 | 11.4414 | 11.5734 | 11.6962 | 11.8104 |
|---|
| 7¾ | 10.2121 | 10.4057 | 10.5853 | 10.7520 | 10.9067 | 11.0503 | 11.1836 | 11.3073 | 11.4221 | 11.5286 |
|---|
| 8 | 10.0168 | 10.2007 | 10.3711 | 10.5288 | 10.6748 | 10.8100 | 10.9352 | 11.0511 | 11.1584 | 11.2578 |
|---|
| 8¼ | 9.82739 | 10.0022 | 10.1637 | 10.3129 | 10.4507 | 10.5780 | 10.6956 | 10.8043 | 10.9046 | 10.9974 |
|---|
| 8½ | 9.64363 | 9.80980 | 9.96295 | 10.1041 | 10.2342 | 10.3541 | 10.4646 | 10.5665 | 10.6603 | 10.7468 |
|---|
| 8¾ | 9.46531 | 9.62328 | 9.76853 | 9.90210 | 10.0249 | 10.1379 | 10.2417 | 10.3372 | 10.4250 | 10.5058 |
|---|
| 9 | 9.29224 | 9.44243 | 9.58021 | 9.70661 | 9.82258 | 9.92897 | 10.0266 | 10.1161 | 10.1983 | 10.2737 |
|---|
| 9¼ | 9.12423 | 9.26703 | 9.39774 | 9.51738 | 9.62689 | 9.72713 | 9.81888 | 9.90287 | 9.97974 | 10.0501 |
|---|
| 9½ | 8.96108 | 9.09688 | 9.22089 | 9.33415 | 9.43758 | 9.53203 | 9.61830 | 9.69707 | 9.76902 | 9.83472 |
|---|
| 9¾ | 8.80262 | 8.93178 | 9.04945 | 9.15668 | 9.25438 | 9.34340 | 9.42451 | 9.49841 | 9.56575 | 9.62711 |
|---|
| 10 | 8.64869 | 8.77154 | 8.88322 | 8.98474 | 9.07704 | 9.16095 | 9.23722 | 9.30657 | 9.36961 | 9.42691 |
|---|
| i % | N Years |
|---|
| 31 | 32 | 33 | 34 | 35 | 36 | 37 | 38 | 39 | 40 |
|---|
| 1 | 26.5423 | 27.2696 | 27.9897 | 28.7027 | 29.4086 | 30.1075 | 30.7995 | 31.4847 | 32.1630 | 32.8347 |
|---|
| 1¼ | 25.5693 | 26.2413 | 26.9050 | 27.5605 | 28.2079 | 28.8473 | 29.4788 | 30.1025 | 30.7185 | 31.3269 |
|---|
| 1½ | 24.6461 | 25.2671 | 25.8790 | 26.4817 | 27.0756 | 27.6607 | 28.2371 | 28.8051 | 29.3646 | 29.9158 |
|---|
| 1¾ | 23.7699 | 24.3439 | 24.9080 | 25.4624 | 26.0073 | 26.5428 | 27.0690 | 27.5863 | 28.0946 | 28.5942 |
|---|
| 2 | 22.9377 | 23.4683 | 23.9886 | 24.4986 | 24.9986 | 25.4888 | 25.9695 | 26.4406 | 26.9026 | 27.3555 |
|---|
| 2¼ | 22.1470 | 22.6377 | 23.1175 | 23.5868 | 24.0458 | 24.4947 | 24.9337 | 25.3630 | 25.7829 | 26.1935 |
|---|
| 2½ | 21.3954 | 21.8492 | 22.2919 | 22.7238 | 23.1452 | 23.5563 | 23.9573 | 24.3486 | 24.7303 | 25.1028 |
|---|
| 2¾ | 20.6806 | 21.1003 | 21.5088 | 21.9064 | 22.2933 | 22.6699 | 23.0364 | 23.3931 | 23.7402 | 24.0781 |
|---|
| 3 | 20.0004 | 20.3888 | 20.7658 | 21.1318 | 21.4872 | 21.8323 | 22.1672 | 22.4925 | 22.8082 | 23.1148 |
|---|
| 3¼ | 19.3529 | 19.7123 | 20.0603 | 20.3974 | 20.7239 | 21.0401 | 21.3463 | 21.6429 | 21.9302 | 22.2084 |
|---|
| 3½ | 18.7363 | 19.0689 | 19.3902 | 19.7007 | 20.0007 | 20.2905 | 20.5705 | 20.8411 | 21.1025 | 21.3551 |
|---|
| 3¾ | 18.1487 | 18.4565 | 18.7533 | 19.0393 | 19.3150 | 19.5807 | 19.8369 | 20.0837 | 20.3217 | 20.5510 |
|---|
| 31 | 32 | 33 | 34 | 35 | 36 | 37 | 38 | 39 | 40 |
|---|
| 4 | 17.5885 | 17.8736 | 18.1476 | 18.4112 | 18.6646 | 18.9083 | 19.1426 | 19.3679 | 19.5845 | 19.7928 |
|---|
| 4¼ | 17.0542 | 17.3182 | 17.5714 | 17.8143 | 18.0473 | 18.2708 | 18.4852 | 18.6908 | 18.8881 | 19.0773 |
|---|
| 4½ | 16.5444 | 16.7889 | 17.0229 | 17.2468 | 17.4610 | 17.6660 | 17.8622 | 18.0500 | 18.2297 | 18.4016 |
|---|
| 4¾ | 16.0577 | 16.2842 | 16.5004 | 16.7068 | 16.9039 | 17.0920 | 17.2716 | 17.4431 | 17.6068 | 17.7630 |
|---|
| 5 | 15.5928 | 15.8027 | 16.0025 | 16.1929 | 16.3742 | 16.5469 | 16.7113 | 16.8679 | 17.0170 | 17.1591 |
|---|
| 5¼ | 15.1486 | 15.3431 | 15.5279 | 15.7034 | 15.8703 | 16.0287 | 16.1793 | 16.3224 | 16.4583 | 16.5875 |
|---|
| 5½ | 14.7239 | 14.9042 | 15.0751 | 15.2370 | 15.3906 | 15.5361 | 15.6740 | 15.8047 | 15.9287 | 16.0461 |
|---|
| 5¾ | 14.3178 | 14.4849 | 14.6429 | 14.7923 | 14.9337 | 15.0673 | 15.1937 | 15.3131 | 15.4261 | 15.5330 |
|---|
| 6 | 13.9291 | 14.0840 | 14.2302 | 14.3681 | 14.4982 | 14.6210 | 14.7368 | 14.8460 | 14.9491 | 15.0463 |
|---|
| 6¼ | 13.5570 | 13.7007 | 13.8360 | 13.9633 | 14.0831 | 14.1958 | 14.3020 | 14.4018 | 14.4958 | 14.5843 |
|---|
| 6½ | 13.2006 | 13.3339 | 13.4591 | 13.5766 | 13.6870 | 13.7906 | 13.8879 | 13.9792 | 14.0650 | 14.1455 |
|---|
| 6¾ | 12.8592 | 12.9828 | 13.0987 | 13.2072 | 13.3088 | 13.4041 | 13.4933 | 13.5768 | 13.6551 | 13.7284 |
|---|
| 31 | 32 | 33 | 34 | 35 | 36 | 37 | 38 | 39 | 40 |
|---|
| 7 | 12.5318 | 12.6466 | 12.7538 | 12.8540 | 12.9477 | 13.0352 | 13.1170 | 13.1935 | 13.2649 | 13.3317 |
|---|
| 7¼ | 12.2179 | 12.3244 | 12.4236 | 12.5162 | 12.6025 | 12.6830 | 12.7581 | 12.8280 | 12.8933 | 12.9541 |
|---|
| 7½ | 11.9166 | 12.0155 | 12.1074 | 12.1929 | 12.2725 | 12.3465 | 12.4154 | 12.4794 | 12.5390 | 12.5944 |
|---|
| 7¾ | 11.6275 | 11.7192 | 11.8044 | 11.8834 | 11.9568 | 12.0249 | 12.0880 | 12.1467 | 12.2011 | 12.2516 |
|---|
| 8 | 11.3498 | 11.4350 | 11.5139 | 11.5869 | 11.6546 | 11.7172 | 11.7752 | 11.8289 | 11.8786 | 11.9246 |
|---|
| 8¼ | 11.0830 | 11.1621 | 11.2352 | 11.3028 | 11.3651 | 11.4228 | 11.4760 | 11.5252 | 11.5706 | 11.6125 |
|---|
| 8½ | 10.8266 | 10.9001 | 10.9678 | 11.0302 | 11.0878 | 11.1408 | 11.1897 | 11.2347 | 11.2763 | 11.3145 |
|---|
| 8¾ | 10.5800 | 10.6483 | 10.7111 | 10.7688 | 10.8219 | 10.8707 | 10.9156 | 10.9569 | 10.9948 | 11.0297 |
|---|
| 9 | 10.3428 | 10.4062 | 10.4644 | 10.5178 | 10.5668 | 10.6118 | 10.6530 | 10.6908 | 10.7255 | 10.7574 |
|---|
| 9¼ | 10.1145 | 10.1735 | 10.2274 | 10.2768 | 10.3220 | 10.3634 | 10.4013 | 10.4360 | 10.4677 | 10.4968 |
|---|
| 9½ | 9.89472 | 9.94952 | 9.99956 | 10.0453 | 10.0870 | 10.1251 | 10.1599 | 10.1917 | 10.2207 | 10.2472 |
|---|
| 9¾ | 9.68301 | 9.73395 | 9.78037 | 9.82266 | 9.86119 | 9.89630 | 9.92829 | 9.95744 | 9.98400 | 10.0082 |
|---|
| 10 | 9.47901 | 9.52638 | 9.56943 | 9.60857 | 9.64416 | 9.67651 | 9.70592 | 9.73265 | 9.75696 | 9.77905 |
|---|
| i % | N Years |
|---|
| 41 | 42 | 43 | 44 | 45 | 46 | 47 | 48 | 49 | 50 |
|---|
| 1 | 33.4997 | 34.1581 | 34.8100 | 35.4555 | 36.0945 | 36.7272 | 37.3537 | 37.9740 | 38.5881 | 39.1961 |
|---|
| 1¼ | 31.9278 | 32.5213 | 33.1075 | 33.6864 | 34.2582 | 34.8229 | 35.3806 | 35.9315 | 36.4755 | 37.0129 |
|---|
| 1½ | 30.4590 | 30.9941 | 31.5212 | 32.0406 | 32.5523 | 33.0565 | 33.5532 | 34.0426 | 34.5247 | 34.9997 |
|---|
| 1¾ | 29.0852 | 29.5678 | 30.0421 | 30.5082 | 30.9663 | 31.4165 | 31.8589 | 32.2938 | 32.7212 | 33.1412 |
|---|
| 2 | 27.7995 | 28.2348 | 28.6616 | 29.0800 | 29.4902 | 29.8923 | 30.2866 | 30.6731 | 31.0521 | 31.4236 |
|---|
| 2¼ | 26.5951 | 26.9879 | 27.3720 | 27.7477 | 28.1151 | 28.4744 | 28.8259 | 29.1695 | 29.5057 | 29.8344 |
|---|
| 2½ | 25.4661 | 25.8206 | 26.1664 | 26.5038 | 26.8330 | 27.1542 | 27.4675 | 27.7732 | 28.0714 | 28.3623 |
|---|
| 2¾ | 24.4069 | 24.7269 | 25.0384 | 25.3415 | 25.6365 | 25.9236 | 26.2030 | 26.4749 | 26.7396 | 26.9972 |
|---|
| 3 | 23.4124 | 23.7014 | 23.9819 | 24.2543 | 24.5187 | 24.7754 | 25.0247 | 25.2667 | 25.5017 | 25.7298 |
|---|
| 3¼ | 22.4779 | 22.7389 | 22.9917 | 23.2365 | 23.4736 | 23.7032 | 23.9256 | 24.1411 | 24.3497 | 24.5518 |
|---|
| 3½ | 21.5991 | 21.8349 | 22.0627 | 22.2828 | 22.4955 | 22.7009 | 22.8994 | 23.0912 | 23.2766 | 23.4556 |
|---|
| 3¾ | 20.7720 | 20.9851 | 21.1905 | 21.3884 | 21.5792 | 21.7631 | 21.9403 | 22.1111 | 22.2758 | 22.4345 |
|---|
| 41 | 42 | 43 | 44 | 45 | 46 | 47 | 48 | 49 | 50 |
|---|
| 4 | 19.9931 | 20.1856 | 20.3708 | 20.5488 | 20.7200 | 20.8847 | 21.0429 | 21.1951 | 21.3415 | 21.4822 |
|---|
| 4¼ | 19.2588 | 19.4329 | 19.5999 | 19.7601 | 19.9137 | 20.0611 | 20.2025 | 20.3382 | 20.4683 | 20.5931 |
|---|
| 4½ | 18.5661 | 18.7235 | 18.8742 | 19.0184 | 19.1563 | 19.2884 | 19.4147 | 19.5356 | 19.6513 | 19.7620 |
|---|
| 4¾ | 17.9122 | 18.0546 | 18.1905 | 18.3203 | 18.4442 | 18.5625 | 18.6754 | 18.7832 | 18.8861 | 18.9844 |
|---|
| 5 | 17.2944 | 17.4232 | 17.5459 | 17.6628 | 17.7741 | 17.8801 | 17.9810 | 18.0772 | 18.1687 | 18.2559 |
|---|
| 5¼ | 16.7102 | 16.8268 | 16.9376 | 17.0428 | 17.1428 | 17.2378 | 17.3281 | 17.4139 | 17.4954 | 17.5728 |
|---|
| 5½ | 16.1575 | 16.2630 | 16.3630 | 16.4579 | 16.5477 | 16.6329 | 16.7137 | 16.7902 | 16.8628 | 16.9315 |
|---|
| 5¾ | 15.6340 | 15.7296 | 15.8199 | 15.9054 | 15.9862 | 16.0626 | 16.1348 | 16.2031 | 16.2678 | 16.3288 |
|---|
| 6 | 15.1380 | 15.2245 | 15.3062 | 15.3832 | 15.4558 | 15.5244 | 15.5890 | 15.6500 | 15.7076 | 15.7619 |
|---|
| 6¼ | 14.6676 | 14.7460 | 14.8197 | 14.8892 | 14.9545 | 15.0160 | 15.0739 | 15.1284 | 15.1796 | 15.2279 |
|---|
| 6½ | 14.2212 | 14.2922 | 14.3588 | 14.4214 | 14.4802 | 14.5354 | 14.5873 | 14.6359 | 14.6816 | 14.7245 |
|---|
| 6¾ | 13.7971 | 13.8615 | 13.9218 | 13.9782 | 14.0311 | 14.0807 | 14.1271 | 14.1706 | 14.2113 | 14.2495 |
|---|
| 41 | 42 | 43 | 44 | 45 | 46 | 47 | 48 | 49 | 50 |
|---|
| 7 | 13.3941 | 13.4524 | 13.5070 | 13.5579 | 13.6055 | 13.6500 | 13.6916 | 13.7305 | 13.7668 | 13.8007 |
|---|
| 7¼ | 13.0108 | 13.0637 | 13.1130 | 13.1590 | 13.2018 | 13.2418 | 13.2791 | 13.3138 | 13.3462 | 13.3764 |
|---|
| 7½ | 12.6460 | 12.6939 | 12.7385 | 12.7800 | 12.8186 | 12.8545 | 12.8879 | 12.9190 | 12.9479 | 12.9748 |
|---|
| 7¾ | 12.2985 | 12.3420 | 12.3823 | 12.4198 | 12.4546 | 12.4868 | 12.5168 | 12.5446 | 12.5704 | 12.5943 |
|---|
| 8 | 11.9672 | 12.0067 | 12.0432 | 12.0771 | 12.1084 | 12.1374 | 12.1643 | 12.1891 | 12.2122 | 12.2335 |
|---|
| 8¼ | 11.6513 | 11.6871 | 11.7202 | 11.7508 | 11.7790 | 11.8051 | 11.8292 | 11.8514 | 11.8720 | 11.8910 |
|---|
| 8½ | 11.3498 | 11.3823 | 11.4123 | 11.4399 | 11.4653 | 11.4888 | 11.5104 | 11.5303 | 11.5487 | 11.5656 |
|---|
| 8¾ | 11.0618 | 11.0913 | 11.1184 | 11.1434 | 11.1663 | 11.1874 | 11.2068 | 11.2247 | 11.2411 | 11.2562 |
|---|
| 9 | 10.7866 | 10.8134 | 10.8380 | 10.8605 | 10.8812 | 10.9002 | 10.9176 | 10.9336 | 10.9482 | 10.9617 |
|---|
| 9¼ | 10.5233 | 10.5477 | 10.5700 | 10.5904 | 10.6090 | 10.6261 | 10.6417 | 10.6561 | 10.6692 | 10.6812 |
|---|
| 9½ | 10.2715 | 10.2936 | 10.3138 | 10.3322 | 10.3490 | 10.3644 | 10.3785 | 10.3913 | 10.4030 | 10.4137 |
|---|
| 9¾ | 10.0303 | 10.0503 | 10.0687 | 10.0853 | 10.1005 | 10.1144 | 10.1270 | 10.1385 | 10.1490 | 10.1585 |
|---|
| 10 | 9.79914 | 9.81740 | 9.83400 | 9.84909 | 9.86281 | 9.87528 | 9.88662 | 9.89693 | 9.90630 | 9.91481 |
|---|
|
