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i = 8%           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  |      1.080000  |  0.92592593  |       1.000000  |  1.00000000  |  0.92592593  |  1.0800000000
  2  |      1.166400  |  0.85733882  |       2.080000  |  0.48076923  |  1.78326475  |  0.5607692308
  3  |      1.259712  |  0.79383224  |       3.246400  |  0.30803351  |  2.57709699  |  0.3880335140
  4  |      1.360489  |  0.73502985  |       4.506112  |  0.22192080  |  3.31212684  |  0.3019208045
  5  |      1.469328  |  0.68058320  |       5.866601  |  0.17045645  |  3.99271004  |  0.2504564546
  6  |      1.586874  |  0.63016963  |       7.335929  |  0.13631539  |  4.62287966  |  0.2163153862
  7  |      1.713824  |  0.58349040  |       8.922803  |  0.11207240  |  5.20637006  |  0.1920724014
  8  |      1.850930  |  0.54026888  |      10.636628  |  0.09401476  |  5.74663894  |  0.1740147606
  9  |      1.999005  |  0.50024897  |      12.487558  |  0.08007971  |  6.24688791  |  0.1600797092
 10  |      2.158925  |  0.46319349  |      14.486562  |  0.06902949  |  6.71008140  |  0.1490294887
 11  |      2.331639  |  0.42888286  |      16.645487  |  0.06007634  |  7.13896426  |  0.1400763421
 12  |      2.518170  |  0.39711376  |      18.977126  |  0.05269502  |  7.53607802  |  0.1326950169
 13  |      2.719624  |  0.36769792  |      21.495297  |  0.04652181  |  7.90377594  |  0.1265218052
 14  |      2.937194  |  0.34046104  |      24.214920  |  0.04129685  |  8.24423698  |  0.1212968528
 15  |      3.172169  |  0.31524170  |      27.152114  |  0.03682954  |  8.55947869  |  0.1168295449
 16  |      3.425943  |  0.29189047  |      30.324283  |  0.03297687  |  8.85136916  |  0.1129768720
 17  |      3.700018  |  0.27026895  |      33.750226  |  0.02962943  |  9.12163811  |  0.1096294315
 18  |      3.996019  |  0.25024903  |      37.450244  |  0.02670210  |  9.37188714  |  0.1067020959
 19  |      4.315701  |  0.23171206  |      41.446263  |  0.02412763  |  9.60359920  |  0.1041276275
 20  |      4.660957  |  0.21454821  |      45.761964  |  0.02185221  |  9.81814741  |  0.1018522088
 21  |      5.033834  |  0.19865575  |      50.422921  |  0.01983225  | 10.01680316  |  0.0998322503
 22  |      5.436540  |  0.18394051  |      55.456755  |  0.01803207  | 10.20074366  |  0.0980320684
 23  |      5.871464  |  0.17031528  |      60.893296  |  0.01642217  | 10.37105895  |  0.0964221692
 24  |      6.341181  |  0.15769934  |      66.764759  |  0.01497796  | 10.52875828  |  0.0949779616
 25  |      6.848475  |  0.14601790  |      73.105940  |  0.01367878  | 10.67477619  |  0.0936787791
 26  |      7.396353  |  0.13520176  |      79.954415  |  0.01250713  | 10.80997795  |  0.0925071267
 27  |      7.988061  |  0.12518682  |      87.350768  |  0.01144810  | 10.93516477  |  0.0914480962
 28  |      8.627106  |  0.11591372  |      95.338830  |  0.01048891  | 11.05107849  |  0.0904889057
 29  |      9.317275  |  0.10732752  |     103.965936  |  0.00961854  | 11.15840601  |  0.0896185350
 30  |     10.062657  |  0.09937733  |     113.283211  |  0.00882743  | 11.25778334  |  0.0888274334
 31  |     10.867669  |  0.09201605  |     123.345868  |  0.00810728  | 11.34979939  |  0.0881072841
 32  |     11.737083  |  0.08520005  |     134.213537  |  0.00745081  | 11.43499944  |  0.0874508132
 33  |     12.676050  |  0.07888893  |     145.950620  |  0.00685163  | 11.51388837  |  0.0868516324
 34  |     13.690134  |  0.07304531  |     158.626670  |  0.00630411  | 11.58693367  |  0.0863041101
 35  |     14.785344  |  0.06763454  |     172.316804  |  0.00580326  | 11.65456822  |  0.0858032646
 36  |     15.968172  |  0.06262458  |     187.102148  |  0.00534467  | 11.71719279  |  0.0853446741
 37  |     17.245626  |  0.05798572  |     203.070320  |  0.00492440  | 11.77517851  |  0.0849244025
 38  |     18.625276  |  0.05369048  |     220.315945  |  0.00453894  | 11.82886899  |  0.0845389361
 39  |     20.115298  |  0.04971341  |     238.941221  |  0.00418513  | 11.87858240  |  0.0841851297
 40  |     21.724521  |  0.04603093  |     259.056519  |  0.00386016  | 11.92461333  |  0.0838601615
 41  |     23.462483  |  0.04262123  |     280.781040  |  0.00356149  | 11.96723457  |  0.0835614940
 42  |     25.339482  |  0.03946411  |     304.243523  |  0.00328684  | 12.00669867  |  0.0832868407
 43  |     27.366640  |  0.03654084  |     329.583005  |  0.00303414  | 12.04323951  |  0.0830341370
 44  |     29.555972  |  0.03383411  |     356.949646  |  0.00280152  | 12.07707362  |  0.0828015156
 45  |     31.920449  |  0.03132788  |     386.505617  |  0.00258728  | 12.10840150  |  0.0825872845
 46  |     34.474085  |  0.02900730  |     418.426067  |  0.00238991  | 12.13740880  |  0.0823899085
 47  |     37.232012  |  0.02685861  |     452.900152  |  0.00220799  | 12.16426741  |  0.0822079922
 48  |     40.210573  |  0.02486908  |     490.132164  |  0.00204027  | 12.18913649  |  0.0820402660
 49  |     43.427419  |  0.02302693  |     530.342737  |  0.00188557  | 12.21216341  |  0.0818855731
 50  |     46.901613  |  0.02132123  |     573.770156  |  0.00174286  | 12.23348464  |  0.0817428582
 51  |     50.653742  |  0.01974188  |     620.671769  |  0.00161116  | 12.25322652  |  0.0816111575
 52  |     54.706041  |  0.01827952  |     671.325510  |  0.00148959  | 12.27150604  |  0.0814895903
 53  |     59.082524  |  0.01692548  |     726.031551  |  0.00137735  | 12.28843152  |  0.0813773506
 54  |     63.809126  |  0.01567174  |     785.114075  |  0.00127370  | 12.30410326  |  0.0812737003
 55  |     68.913856  |  0.01451087  |     848.923201  |  0.00117796  | 12.31861413  |  0.0811779629
 56  |     74.426965  |  0.01343599  |     917.837058  |  0.00108952  | 12.33205012  |  0.0810895180
 57  |     80.381122  |  0.01244073  |     992.264022  |  0.00100780  | 12.34449085  |  0.0810077963
 58  |     86.811612  |  0.01151920  |    1072.645144  |  0.00093227  | 12.35601005  |  0.0809322748
 59  |     93.756540  |  0.01066592  |    1159.456755  |  0.00086247  | 12.36667597  |  0.0808624729
 60  |    101.257064  |  0.00987585  |    1253.213296  |  0.00079795  | 12.37655182  |  0.0807979488
 61  |    109.357629  |  0.00914431  |    1354.470360  |  0.00073830  | 12.38569613  |  0.0807382960
 62  |    118.106239  |  0.00846695  |    1463.827988  |  0.00068314  | 12.39416308  |  0.0806831404
 63  |    127.554738  |  0.00783977  |    1581.934227  |  0.00063214  | 12.40200286  |  0.0806321375
 64  |    137.759117  |  0.00725905  |    1709.488966  |  0.00058497  | 12.40926190  |  0.0805849701
 65  |    148.779847  |  0.00672134  |    1847.248083  |  0.00054135  | 12.41598324  |  0.0805413458
 66  |    160.682234  |  0.00622346  |    1996.027929  |  0.00050099  | 12.42220671  |  0.0805009950
 67  |    173.536813  |  0.00576247  |    2156.710164  |  0.00046367  | 12.42796917  |  0.0804636692
 68  |    187.419758  |  0.00533562  |    2330.246977  |  0.00042914  | 12.43330479  |  0.0804291391
 69  |    202.413339  |  0.00494039  |    2517.666735  |  0.00039719  | 12.43824518  |  0.0803971932
 70  |    218.606406  |  0.00457443  |    2720.080074  |  0.00036764  | 12.44281961  |  0.0803676362
 71  |    236.094918  |  0.00423558  |    2938.686480  |  0.00034029  | 12.44705519  |  0.0803402881
 72  |    254.982512  |  0.00392184  |    3174.781398  |  0.00031498  | 12.45097703  |  0.0803149823
 73  |    275.381113  |  0.00363133  |    3429.763910  |  0.00029157  | 12.45460836  |  0.0802915653
 74  |    297.411602  |  0.00336234  |    3705.145023  |  0.00026989  | 12.45797070  |  0.0802698950
 75  |    321.204530  |  0.00311328  |    4002.556624  |  0.00024984  | 12.46108399  |  0.0802498403
 76  |    346.900892  |  0.00288267  |    4323.761154  |  0.00023128  | 12.46396665  |  0.0802312801
 77  |    374.652964  |  0.00266914  |    4670.662047  |  0.00021410  | 12.46663579  |  0.0802141024
 78  |    404.625201  |  0.00247142  |    5045.315011  |  0.00019820  | 12.46910721  |  0.0801982037
 79  |    436.995217  |  0.00228835  |    5449.940211  |  0.00018349  | 12.47139557  |  0.0801834883
 80  |    471.954834  |  0.00211885  |    5886.935428  |  0.00016987  | 12.47351441  |  0.0801698677
 81  |    509.711221  |  0.00196190  |    6358.890263  |  0.00015726  | 12.47547631  |  0.0801572601
 82  |    550.488119  |  0.00181657  |    6868.601484  |  0.00014559  | 12.47729288  |  0.0801455900
 83  |    594.527168  |  0.00168201  |    7419.089602  |  0.00013479  | 12.47897489  |  0.0801347874
 84  |    642.089342  |  0.00155742  |    8013.616770  |  0.00012479  | 12.48053230  |  0.0801247876
 85  |    693.456489  |  0.00144205  |    8655.706112  |  0.00011553  | 12.48197436  |  0.0801155307
 86  |    748.933008  |  0.00133523  |    9349.162601  |  0.00010696  | 12.48330959  |  0.0801069615
 87  |    808.847649  |  0.00123633  |   10098.095609  |  0.00009903  | 12.48454592  |  0.0800990286
 88  |    873.555461  |  0.00114475  |   10906.943258  |  0.00009168  | 12.48569066  |  0.0800916847
 89  |    943.439897  |  0.00105995  |   11780.498718  |  0.00008489  | 12.48675061  |  0.0800848860
 90  |   1018.915089  |  0.00098144  |   12723.938616  |  0.00007859  | 12.48773205  |  0.0800785920
 91  |   1100.428296  |  0.00090874  |   13742.853705  |  0.00007277  | 12.48864079  |  0.0800727651
 92  |   1188.462560  |  0.00084142  |   14843.282002  |  0.00006737  | 12.48948221  |  0.0800673705
 93  |   1283.539565  |  0.00077910  |   16031.744562  |  0.00006238  | 12.49026131  |  0.0800623762
 94  |   1386.222730  |  0.00072138  |   17315.284127  |  0.00005775  | 12.49098269  |  0.0800577524
 95  |   1497.120549  |  0.00066795  |   18701.506857  |  0.00005347  | 12.49165064  |  0.0800534716
 96  |   1616.890192  |  0.00061847  |   20198.627405  |  0.00004951  | 12.49226911  |  0.0800495083
 97  |   1746.241408  |  0.00057266  |   21815.517598  |  0.00004584  | 12.49284177  |  0.0800458389
 98  |   1885.940720  |  0.00053024  |   23561.759006  |  0.00004244  | 12.49337201  |  0.0800424417
 99  |   2036.815978  |  0.00049096  |   25447.699726  |  0.00003930  | 12.49386297  |  0.0800392963
100  |   2199.761256  |  0.00045459  |   27484.515704  |  0.00003638  | 12.49431757  |  0.0800363841