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i = 5%           0 < n < 100


  n      F/P, i, n       P/F, i, n        F/A, i, n       A/F, i, n      P/A, i, n       A/P, i, n

  1  |      1.050000  |  0.95238095  |       1.000000  |  1.00000000  |  0.95238095  |  1.0500000000
  2  |      1.102500  |  0.90702948  |       2.050000  |  0.48780488  |  1.85941043  |  0.5378048780
  3  |      1.157625  |  0.86383760  |       3.152500  |  0.31720856  |  2.72324803  |  0.3672085646
  4  |      1.215506  |  0.82270247  |       4.310125  |  0.23201183  |  3.54595050  |  0.2820118326
  5  |      1.276282  |  0.78352617  |       5.525631  |  0.18097480  |  4.32947667  |  0.2309747981
  6  |      1.340096  |  0.74621540  |       6.801913  |  0.14701747  |  5.07569207  |  0.1970174681
  7  |      1.407100  |  0.71068133  |       8.142008  |  0.12281982  |  5.78637340  |  0.1728198184
  8  |      1.477455  |  0.67683936  |       9.549109  |  0.10472181  |  6.46321276  |  0.1547218136
  9  |      1.551328  |  0.64460892  |      11.026564  |  0.09069008  |  7.10782168  |  0.1406900800
 10  |      1.628895  |  0.61391325  |      12.577893  |  0.07950457  |  7.72173493  |  0.1295045750
 11  |      1.710339  |  0.58467929  |      14.206787  |  0.07038889  |  8.30641422  |  0.1203888915
 12  |      1.795856  |  0.55683742  |      15.917127  |  0.06282541  |  8.86325164  |  0.1128254100
 13  |      1.885649  |  0.53032135  |      17.712983  |  0.05645577  |  9.39357299  |  0.1064557652
 14  |      1.979932  |  0.50506795  |      19.598632  |  0.05102397  |  9.89864094  |  0.1010239695
 15  |      2.078928  |  0.48101710  |      21.578564  |  0.04634229  | 10.37965804  |  0.0963422876
 16  |      2.182875  |  0.45811152  |      23.657492  |  0.04226991  | 10.83776956  |  0.0922699080
 17  |      2.292018  |  0.43629669  |      25.840366  |  0.03869914  | 11.27406625  |  0.0886991417
 18  |      2.406619  |  0.41552065  |      28.132385  |  0.03554622  | 11.68958690  |  0.0855462223
 19  |      2.526950  |  0.39573396  |      30.539004  |  0.03274501  | 12.08532086  |  0.0827450104
 20  |      2.653298  |  0.37688948  |      33.065954  |  0.03024259  | 12.46221034  |  0.0802425872
 21  |      2.785963  |  0.35894236  |      35.719252  |  0.02799611  | 12.82115271  |  0.0779961071
 22  |      2.925261  |  0.34184987  |      38.505214  |  0.02597051  | 13.16300258  |  0.0759705086
 23  |      3.071524  |  0.32557131  |      41.430475  |  0.02413682  | 13.48857388  |  0.0741368219
 24  |      3.225100  |  0.31006791  |      44.501999  |  0.02247090  | 13.79864179  |  0.0724709008
 25  |      3.386355  |  0.29530277  |      47.727099  |  0.02095246  | 14.09394457  |  0.0709524573
 26  |      3.555673  |  0.28124073  |      51.113454  |  0.01956432  | 14.37518530  |  0.0695643207
 27  |      3.733456  |  0.26784832  |      54.669126  |  0.01829186  | 14.64303362  |  0.0682918599
 28  |      3.920129  |  0.25509364  |      58.402583  |  0.01712253  | 14.89812726  |  0.0671225304
 29  |      4.116136  |  0.24294632  |      62.322712  |  0.01604551  | 15.14107358  |  0.0660455149
 30  |      4.321942  |  0.23137745  |      66.438848  |  0.01505144  | 15.37245103  |  0.0650514351
 31  |      4.538039  |  0.22035947  |      70.760790  |  0.01413212  | 15.59281050  |  0.0641321204
 32  |      4.764941  |  0.20986617  |      75.298829  |  0.01328042  | 15.80267667  |  0.0632804189
 33  |      5.003189  |  0.19987254  |      80.063771  |  0.01249004  | 16.00254921  |  0.0624900437
 34  |      5.253348  |  0.19035480  |      85.066959  |  0.01175545  | 16.19290401  |  0.0617554454
 35  |      5.516015  |  0.18129029  |      90.320307  |  0.01107171  | 16.37419429  |  0.0610717072
 36  |      5.791816  |  0.17265741  |      95.836323  |  0.01043446  | 16.54685171  |  0.0604344571
 37  |      6.081407  |  0.16443563  |     101.628139  |  0.00983979  | 16.71128734  |  0.0598397945
 38  |      6.385477  |  0.15660536  |     107.709546  |  0.00928423  | 16.86789271  |  0.0592842282
 39  |      6.704751  |  0.14914797  |     114.095023  |  0.00876462  | 17.01704067  |  0.0587646242
 40  |      7.039989  |  0.14204568  |     120.799774  |  0.00827816  | 17.15908635  |  0.0582781612
 41  |      7.391988  |  0.13528160  |     127.839763  |  0.00782229  | 17.29436796  |  0.0578222924
 42  |      7.761588  |  0.12883962  |     135.231751  |  0.00739471  | 17.42320758  |  0.0573947131
 43  |      8.149667  |  0.12270440  |     142.993339  |  0.00699333  | 17.54591198  |  0.0569933328
 44  |      8.557150  |  0.11686133  |     151.143006  |  0.00661625  | 17.66277331  |  0.0566162506
 45  |      8.985008  |  0.11129651  |     159.700156  |  0.00626173  | 17.77406982  |  0.0562617347
 46  |      9.434258  |  0.10599668  |     168.685164  |  0.00592820  | 17.88006650  |  0.0559282036
 47  |      9.905971  |  0.10094921  |     178.119422  |  0.00561421  | 17.98101571  |  0.0556142109
 48  |     10.401270  |  0.09614211  |     188.025393  |  0.00531843  | 18.07715782  |  0.0553184306
 49  |     10.921333  |  0.09156391  |     198.426663  |  0.00503965  | 18.16872173  |  0.0550396453
 50  |     11.467400  |  0.08720373  |     209.347996  |  0.00477674  | 18.25592546  |  0.0547767355
 51  |     12.040770  |  0.08305117  |     220.815396  |  0.00452867  | 18.33897663  |  0.0545286697
 52  |     12.642808  |  0.07909635  |     232.856165  |  0.00429450  | 18.41807298  |  0.0542944966
 53  |     13.274949  |  0.07532986  |     245.498974  |  0.00407334  | 18.49340284  |  0.0540733368
 54  |     13.938696  |  0.07174272  |     258.773922  |  0.00386438  | 18.56514556  |  0.0538643770
 55  |     14.635631  |  0.06832640  |     272.712618  |  0.00366686  | 18.63347196  |  0.0536668637
 56  |     15.367412  |  0.06507276  |     287.348249  |  0.00348010  | 18.69854473  |  0.0534800978
 57  |     16.135783  |  0.06197406  |     302.715662  |  0.00330343  | 18.76051879  |  0.0533034300
 58  |     16.942572  |  0.05902291  |     318.851445  |  0.00313626  | 18.81954170  |  0.0531362568
 59  |     17.789701  |  0.05621230  |     335.794017  |  0.00297802  | 18.87575400  |  0.0529780161
 60  |     18.679186  |  0.05353552  |     353.583718  |  0.00282818  | 18.92928953  |  0.0528281845
 61  |     19.613145  |  0.05098621  |     372.262904  |  0.00268627  | 18.98027574  |  0.0526862736
 62  |     20.593802  |  0.04855830  |     391.876049  |  0.00255183  | 19.02883404  |  0.0525518273
 63  |     21.623493  |  0.04624600  |     412.469851  |  0.00242442  | 19.07508003  |  0.0524244196
 64  |     22.704667  |  0.04404381  |     434.093344  |  0.00230365  | 19.11912384  |  0.0523036520
 65  |     23.839901  |  0.04194648  |     456.798011  |  0.00218915  | 19.16107033  |  0.0521891514
 66  |     25.031896  |  0.03994903  |     480.637912  |  0.00208057  | 19.20101936  |  0.0520805683
 67  |     26.283490  |  0.03804670  |     505.669807  |  0.00197758  | 19.23906606  |  0.0519775751
 68  |     27.597665  |  0.03623495  |     531.953298  |  0.00187986  | 19.27530101  |  0.0518798643
 69  |     28.977548  |  0.03450948  |     559.550963  |  0.00178715  | 19.30981048  |  0.0517871473
 70  |     30.426426  |  0.03286617  |     588.528511  |  0.00169915  | 19.34267665  |  0.0516991530
 71  |     31.947747  |  0.03130111  |     618.954936  |  0.00161563  | 19.37397776  |  0.0516156265
 72  |     33.545134  |  0.02981058  |     650.902683  |  0.00153633  | 19.40378834  |  0.0515363280
 73  |     35.222391  |  0.02839103  |     684.447817  |  0.00146103  | 19.43217937  |  0.0514610318
 74  |     36.983510  |  0.02703908  |     719.670208  |  0.00138953  | 19.45921845  |  0.0513895254
 75  |     38.832686  |  0.02575150  |     756.653718  |  0.00132161  | 19.48496995  |  0.0513216085
 76  |     40.774320  |  0.02452524  |     795.486404  |  0.00125709  | 19.50949519  |  0.0512570925
 77  |     42.813036  |  0.02335737  |     836.260725  |  0.00119580  | 19.53285257  |  0.0511957993
 78  |     44.953688  |  0.02224512  |     879.073761  |  0.00113756  | 19.55509768  |  0.0511375610
 79  |     47.201372  |  0.02118582  |     924.027449  |  0.00108222  | 19.57628351  |  0.0510822189
 80  |     49.561441  |  0.02017698  |     971.228821  |  0.00102962  | 19.59646048  |  0.0510296235
 81  |     52.039513  |  0.01921617  |    1020.790262  |  0.00097963  | 19.61567665  |  0.0509796332
 82  |     54.641489  |  0.01830111  |    1072.829776  |  0.00093211  | 19.63397776  |  0.0509321143
 83  |     57.373563  |  0.01742963  |    1127.471264  |  0.00088694  | 19.65140739  |  0.0508869406
 84  |     60.242241  |  0.01659965  |    1184.844828  |  0.00084399  | 19.66800704  |  0.0508439924
 85  |     63.254353  |  0.01580919  |    1245.087069  |  0.00080316  | 19.68381623  |  0.0508031567
 86  |     66.417071  |  0.01505637  |    1308.341422  |  0.00076433  | 19.69887260  |  0.0507643265
 87  |     69.737925  |  0.01433940  |    1374.758493  |  0.00072740  | 19.71321200  |  0.0507274005
 88  |     73.224821  |  0.01365657  |    1444.496418  |  0.00069228  | 19.72686857  |  0.0506922828
 89  |     76.886062  |  0.01300626  |    1517.721239  |  0.00065888  | 19.73987483  |  0.0506588825
 90  |     80.730365  |  0.01238691  |    1594.607301  |  0.00062711  | 19.75226174  |  0.0506271136
 91  |     84.766883  |  0.01179706  |    1675.337666  |  0.00059689  | 19.76405880  |  0.0505968946
 92  |     89.005227  |  0.01123530  |    1760.104549  |  0.00056815  | 19.77529410  |  0.0505681481
 93  |     93.455489  |  0.01070028  |    1849.109777  |  0.00054080  | 19.78599438  |  0.0505408008
 94  |     98.128263  |  0.01019074  |    1942.565266  |  0.00051478  | 19.79618512  |  0.0505147832
 95  |    103.034676  |  0.00970547  |    2040.693529  |  0.00049003  | 19.80589059  |  0.0504900295
 96  |    108.186410  |  0.00924331  |    2143.728205  |  0.00046648  | 19.81513390  |  0.0504664770
 97  |    113.595731  |  0.00880315  |    2251.914616  |  0.00044407  | 19.82393705  |  0.0504440666
 98  |    119.275517  |  0.00838395  |    2365.510346  |  0.00042274  | 19.83232100  |  0.0504227418
 99  |    125.239293  |  0.00798471  |    2484.785864  |  0.00040245  | 19.84030571  |  0.0504024492
100  |    131.501258  |  0.00760449  |    2610.025157  |  0.00038314  | 19.84791020  |  0.0503831381