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i = 4.5%           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  |      1.045000  |  0.95693780  |       1.000000  |  1.00000000  |  0.95693780  |  1.0450000000
  2  |      1.092025  |  0.91572995  |       2.045000  |  0.48899756  |  1.87266775  |  0.5339975550
  3  |      1.141166  |  0.87629660  |       3.137025  |  0.31877336  |  2.74896435  |  0.3637733601
  4  |      1.192519  |  0.83856134  |       4.278191  |  0.23374365  |  3.58752570  |  0.2787436479
  5  |      1.246182  |  0.80245105  |       5.470710  |  0.18279164  |  4.38997674  |  0.2277916395
  6  |      1.302260  |  0.76789574  |       6.716892  |  0.14887839  |  5.15787248  |  0.1938783875
  7  |      1.360862  |  0.73482846  |       8.019152  |  0.12470147  |  5.89270094  |  0.1697014680
  8  |      1.422101  |  0.70318513  |       9.380014  |  0.10660965  |  6.59588607  |  0.1516096533
  9  |      1.486095  |  0.67290443  |      10.802114  |  0.09257447  |  7.26879050  |  0.1375744700
 10  |      1.552969  |  0.64392768  |      12.288209  |  0.08137882  |  7.91271818  |  0.1263788217
 11  |      1.622853  |  0.61619874  |      13.841179  |  0.07224818  |  8.52891692  |  0.1172481817
 12  |      1.695881  |  0.58966386  |      15.464032  |  0.06466619  |  9.11858078  |  0.1096661886
 13  |      1.772196  |  0.56427164  |      17.159913  |  0.05827535  |  9.68285242  |  0.1032753528
 14  |      1.851945  |  0.53997286  |      18.932109  |  0.05282032  | 10.22282528  |  0.0978203160
 15  |      1.935282  |  0.51672044  |      20.784054  |  0.04811381  | 10.73954573  |  0.0931138081
 16  |      2.022370  |  0.49446932  |      22.719337  |  0.04401537  | 11.23401505  |  0.0890153694
 17  |      2.113377  |  0.47317639  |      24.741707  |  0.04041758  | 11.70719143  |  0.0854175833
 18  |      2.208479  |  0.45280037  |      26.855084  |  0.03723690  | 12.15999180  |  0.0822368975
 19  |      2.307860  |  0.43330179  |      29.063562  |  0.03440734  | 12.59329359  |  0.0794073443
 20  |      2.411714  |  0.41464286  |      31.371423  |  0.03187614  | 13.00793645  |  0.0768761443
 21  |      2.520241  |  0.39678743  |      33.783137  |  0.02960057  | 13.40472388  |  0.0746005669
 22  |      2.633652  |  0.37970089  |      36.303378  |  0.02754565  | 13.78442476  |  0.0725456461
 23  |      2.752166  |  0.36335013  |      38.937030  |  0.02568249  | 14.14777489  |  0.0706824930
 24  |      2.876014  |  0.34770347  |      41.689196  |  0.02398703  | 14.49547837  |  0.0689870299
 25  |      3.005434  |  0.33273060  |      44.565210  |  0.02243903  | 14.82820896  |  0.0674390280
 26  |      3.140679  |  0.31840248  |      47.570645  |  0.02102137  | 15.14661145  |  0.0660213674
 27  |      3.282010  |  0.30469137  |      50.711324  |  0.01971946  | 15.45130282  |  0.0647194616
 28  |      3.429700  |  0.29157069  |      53.993333  |  0.01852081  | 15.74287351  |  0.0635208051
 29  |      3.584036  |  0.27901502  |      57.423033  |  0.01741461  | 16.02188853  |  0.0624146147
 30  |      3.745318  |  0.26700002  |      61.007070  |  0.01639154  | 16.28888854  |  0.0613915429
 31  |      3.913857  |  0.25550241  |      64.752388  |  0.01544345  | 16.54439095  |  0.0604434459
 32  |      4.089981  |  0.24449991  |      68.666245  |  0.01456320  | 16.78889086  |  0.0595631962
 33  |      4.274030  |  0.23397121  |      72.756226  |  0.01374453  | 17.02286207  |  0.0587445281
 34  |      4.466362  |  0.22389589  |      77.030256  |  0.01298191  | 17.24675796  |  0.0579819119
 35  |      4.667348  |  0.21425444  |      81.496618  |  0.01227045  | 17.46101240  |  0.0572704478
 36  |      4.877378  |  0.20502817  |      86.163966  |  0.01160578  | 17.66604058  |  0.0566057796
 37  |      5.096860  |  0.19619921  |      91.041344  |  0.01098402  | 17.86223979  |  0.0559840206
 38  |      5.326219  |  0.18775044  |      96.138205  |  0.01040169  | 18.04999023  |  0.0554016920
 39  |      5.565899  |  0.17966549  |     101.464424  |  0.00985567  | 18.22965572  |  0.0548556712
 40  |      5.816365  |  0.17192870  |     107.030323  |  0.00934315  | 18.40158442  |  0.0543431466
 41  |      6.078101  |  0.16452507  |     112.846688  |  0.00886158  | 18.56610949  |  0.0538615804
 42  |      6.351615  |  0.15744026  |     118.924789  |  0.00840868  | 18.72354975  |  0.0534086759
 43  |      6.637438  |  0.15066054  |     125.276404  |  0.00798235  | 18.87421029  |  0.0529823492
 44  |      6.936123  |  0.14417276  |     131.913842  |  0.00758071  | 19.01838305  |  0.0525807056
 45  |      7.248248  |  0.13796437  |     138.849965  |  0.00720202  | 19.15634742  |  0.0522020184
 46  |      7.574420  |  0.13202332  |     146.098214  |  0.00684471  | 19.28837074  |  0.0518447107
 47  |      7.915268  |  0.12633810  |     153.672633  |  0.00650734  | 19.41470884  |  0.0515073395
 48  |      8.271456  |  0.12089771  |     161.587902  |  0.00618858  | 19.53560654  |  0.0511885821
 49  |      8.643671  |  0.11569158  |     169.859357  |  0.00588722  | 19.65129813  |  0.0508872235
 50  |      9.032636  |  0.11070965  |     178.503028  |  0.00560215  | 19.76200778  |  0.0506021459
 51  |      9.439105  |  0.10594225  |     187.535665  |  0.00533232  | 19.86795003  |  0.0503323191
 52  |      9.863865  |  0.10138014  |     196.974769  |  0.00507679  | 19.96933017  |  0.0500767923
 53  |     10.307739  |  0.09701449  |     206.838634  |  0.00483469  | 20.06634466  |  0.0498346867
 54  |     10.771587  |  0.09283683  |     217.146373  |  0.00460519  | 20.15918149  |  0.0496051886
 55  |     11.256308  |  0.08883907  |     227.917959  |  0.00438754  | 20.24802057  |  0.0493875437
 56  |     11.762842  |  0.08501347  |     239.174268  |  0.00418105  | 20.33303404  |  0.0491810518
 57  |     12.292170  |  0.08135260  |     250.937110  |  0.00398506  | 20.41438664  |  0.0489850622
 58  |     12.845318  |  0.07784938  |     263.229280  |  0.00379897  | 20.49223602  |  0.0487989695
 59  |     13.423357  |  0.07449701  |     276.074597  |  0.00362221  | 20.56673303  |  0.0486222094
 60  |     14.027408  |  0.07128901  |     289.497954  |  0.00345426  | 20.63802204  |  0.0484542558
 61  |     14.658641  |  0.06821915  |     303.525362  |  0.00329462  | 20.70624118  |  0.0482946176
 62  |     15.318280  |  0.06528148  |     318.184003  |  0.00314284  | 20.77152266  |  0.0481428356
 63  |     16.007603  |  0.06247032  |     333.502283  |  0.00299848  | 20.83399298  |  0.0479984802
 64  |     16.727945  |  0.05978021  |     349.509886  |  0.00286115  | 20.89377319  |  0.0478611494
 65  |     17.480702  |  0.05720594  |     366.237831  |  0.00273047  | 20.95097913  |  0.0477304661
 66  |     18.267334  |  0.05474253  |     383.718533  |  0.00260608  | 21.00572165  |  0.0476060769
 67  |     19.089364  |  0.05238519  |     401.985867  |  0.00248765  | 21.05810684  |  0.0474876496
 68  |     19.948385  |  0.05012937  |     421.075231  |  0.00237487  | 21.10823621  |  0.0473748725
 69  |     20.846063  |  0.04797069  |     441.023617  |  0.00226745  | 21.15620690  |  0.0472674523
 70  |     21.784136  |  0.04590497  |     461.869680  |  0.00216511  | 21.20211187  |  0.0471651129
 71  |     22.764422  |  0.04392820  |     483.653815  |  0.00206759  | 21.24604007  |  0.0470675946
 72  |     23.788821  |  0.04203655  |     506.418237  |  0.00197465  | 21.28807662  |  0.0469746524
 73  |     24.859318  |  0.04022637  |     530.207057  |  0.00188606  | 21.32830298  |  0.0468860556
 74  |     25.977987  |  0.03849413  |     555.066375  |  0.00180159  | 21.36679711  |  0.0468015863
 75  |     27.146996  |  0.03683649  |     581.044362  |  0.00172104  | 21.40363360  |  0.0467210390
 76  |     28.368611  |  0.03525023  |     608.191358  |  0.00164422  | 21.43888383  |  0.0466442194
 77  |     29.645199  |  0.03373228  |     636.559969  |  0.00157094  | 21.47261611  |  0.0465709439
 78  |     30.979233  |  0.03227969  |     666.205168  |  0.00150104  | 21.50489579  |  0.0465010391
 79  |     32.373298  |  0.03088965  |     697.184401  |  0.00143434  | 21.53578545  |  0.0464343408
 80  |     33.830096  |  0.02955948  |     729.557699  |  0.00137069  | 21.56534493  |  0.0463706935
 81  |     35.352451  |  0.02828658  |     763.387795  |  0.00130995  | 21.59363151  |  0.0463099502
 82  |     36.943311  |  0.02706850  |     798.740246  |  0.00125197  | 21.62070001  |  0.0462519715
 83  |     38.605760  |  0.02590287  |     835.683557  |  0.00119663  | 21.64660288  |  0.0461966252
 84  |     40.343019  |  0.02478744  |     874.289317  |  0.00114379  | 21.67139032  |  0.0461437861
 85  |     42.158455  |  0.02372003  |     914.632336  |  0.00109334  | 21.69511035  |  0.0460933355
 86  |     44.055586  |  0.02269860  |     956.790791  |  0.00104516  | 21.71780895  |  0.0460451606
 87  |     46.038087  |  0.02172115  |    1000.846377  |  0.00099915  | 21.73953009  |  0.0459991543
 88  |     48.109801  |  0.02078579  |    1046.884464  |  0.00095522  | 21.76031588  |  0.0459552152
 89  |     50.274742  |  0.01989070  |    1094.994265  |  0.00091325  | 21.78020658  |  0.0459132468
 90  |     52.537105  |  0.01903417  |    1145.269007  |  0.00087316  | 21.79924075  |  0.0458731573
 91  |     54.901275  |  0.01821451  |    1197.806112  |  0.00083486  | 21.81745526  |  0.0458348597
 92  |     57.371832  |  0.01743016  |    1252.707387  |  0.00079827  | 21.83488542  |  0.0457982710
 93  |     59.953565  |  0.01667958  |    1310.079219  |  0.00076331  | 21.85156499  |  0.0457633126
 94  |     62.651475  |  0.01596132  |    1370.032784  |  0.00072991  | 21.86752631  |  0.0457299095
 95  |     65.470792  |  0.01527399  |    1432.684259  |  0.00069799  | 21.88280030  |  0.0456979905
 96  |     68.416977  |  0.01461626  |    1498.155051  |  0.00066749  | 21.89741655  |  0.0456674877
 97  |     71.495741  |  0.01398685  |    1566.572028  |  0.00063834  | 21.91140340  |  0.0456383364
 98  |     74.713050  |  0.01338454  |    1638.067770  |  0.00061048  | 21.92478794  |  0.0456104754
 99  |     78.075137  |  0.01280817  |    1712.780819  |  0.00058385  | 21.93759612  |  0.0455838459
100  |     81.588518  |  0.01225663  |    1790.855956  |  0.00055839  | 21.94985274  |  0.0455583922