PV Tables

TABLE 5.1 Future Value of 1 (Future Value of a Single Sum)

FVFn,i=(1+i)n
(n) Periods 2% 2½% 3% 4% 5% 6% 8% 9% 10% 11% 12% 15% (n) Periods
1   1.02000   1.02500   1.03000   1.04000   1.05000   1.06000   1.08000   1.09000   1.10000   1.11000   1.12000   1.15000   1
2   1.04040   1.05063   1.06090   1.08160   1.10250   1.12360   1.16640   1.18810   1.21000   1.23210   1.25440   1.32250   2
3   1.06121   1.07689   1.09273   1.12486   1.15763   1.19102   1.25971   1.29503   1.33100   1.36763   1.40493   1.52088   3
4   1.08243   1.10381   1.12551   1.16986   1.21551   1.26248   1.36049   1.41158   1.46410   1.51807   1.57352   1.74901   4
5   1.10408   1.13141   1.15927   1.21665   1.27628   1.33823   1.46933   1.53862   1.61051   1.68506   1.76234   2.01136   5
6   1.12616   1.15969   1.19405   1.26532   1.34010   1.41852   1.58687   1.67710   1.77156   1.87041   1.97382   2.31306   6
7   1.14869   1.18869   1.22987   1.31593   1.40710   1.50363   1.71382   1.82804   1.94872   2.07616   2.21068   2.66002   7
8   1.17166   1.21840   1.26677   1.36857   1.47746   1.59385   1.85093   1.99256   2.14359   2.30454   2.47596   3.05902   8
9   1.19509   1.24886   1.30477   1.42331   1.55133   1.68948   1.99900   2.17189   2.35795   2.55803   2.77308   3.51788   9
10   1.21899   1.28008   1.34392   1.48024   1.62889   1.79085   2.15892   2.36736   2.59374   2.83942   3.10585   4.04556   10
11   1.24337   1.31209   1.38423   1.53945   1.71034   1.89830   2.33164   2.58043   2.85312   3.15176   3.47855   4.65239   11
12   1.26824   1.34489   1.42576   1.60103   1.79586   2.01220   2.51817   2.81267   3.13843   3.49845   3.89598   5.35025   12
13   1.29361   1.37851   1.46853   1.66507   1.88565   2.13293   2.71962   3.06581   3.45227   3.88328   4.36349   6.15279   13
14   1.31948   1.41297   1.51259   1.73168   1.97993   2.26090   2.93719   3.34173   3.79750   4.31044   4.88711   7.07571   14
15   1.34587   1.44830   1.55797   1.80094   2.07893   2.39656   3.17217   3.64248   4.17725   4.78459   5.47357   8.13706   15
16   1.37279   1.48451   1.60471   1.87298   2.18287   2.54035   3.42594   3.97031   4.59497   5.31089   6.13039   9.35762   16
17   1.40024   1.52162   1.65285   1.94790   2.29202   2.69277   3.70002   4.32763   5.05447   5.89509   6.86604   10.76126   17
18   1.42825   1.55966   1.70243   2.02582   2.40662   2.85434   3.99602   4.71712   5.55992   6.54355   7.68997   12.37545   18
19   1.45681   1.59865   1.75351   2.10685   2.52695   3.02560   4.31570   5.14166   6.11591   7.26334   8.61276   14.23177   19
20   1.48595   1.63862   1.80611   2.19112   2.65330   3.20714   4.66096   5.60441   6.72750   8.06231   9.64629   16.36654   20
21   1.51567   1.67958   1.86029   2.27877   2.78596   3.39956   5.03383   6.10881   7.40025   8.94917   10.80385   18.82152   21
22   1.54598   1.72157   1.91610   2.36992   2.92526   3.60354   5.43654   6.65860   8.14028   9.93357   12.10031   21.64475   22
23   1.57690   1.76461   1.97359   2.46472   3.07152   3.81975   5.87146   7.25787   8.95430   11.02627   13.55235   24.89146   23
24   1.60844   1.80873   2.03279   2.56330   3.22510   4.04893   6.34118   7.91108   9.84973   12.23916   15.17863   28.62518   24
25   1.64061   1.85394   2.09378   2.66584   3.38635   4.29187   6.84847   8.62308   10.83471   13.58546   17.00000   32.91895   25
26   1.67342   1.90029   2.15659   2.77247   3.55567   4.54938   7.39635   9.39916   11.91818   15.07986   19.04007   37.85680   26
27   1.70689   1.94780   2.22129   2.88337   3.73346   4.82235   7.98806   10.24508   13.10999   16.73865   21.32488   43.53532   27
28   1.74102   1.99650   2.28793   2.99870   3.92013   5.11169   8.62711   11.16714   14.42099   18.57990   23.88387   50.06561   28
29   1.77584   2.04641   2.35657   3.11865   4.11614   5.41839   9.31727   12.17218   15.86309   20.62369   26.74993   57.57545   29
30   1.81136   2.09757   2.42726   3.24340   4.32194   5.74349   10.06266   13.26768   17.44940   22.89230   29.95992   66.21177   30
31   1.84759   2.15001   2.50008   3.37313   4.53804   6.08810   10.86767   14.46177   19.19434   25.41045   33.55511   76.14354   31
32   1.88454   2.20376   2.57508   3.50806   4.76494   6.45339   11.73708   15.76333   21.11378   28.20560   37.58173   87.56507   32
33   1.92223   2.25885   2.65234   3.64838   5.00319   6.84059   12.67605   17.18203   23.22515   31.30821   42.09153   100.69983   33
34   1.96068   2.31532   2.73191   3.79432   5.25335   7.25103   13.69013   18.72841   25.54767   34.75212   47.14252   115.80480   34
35   1.99989   2.37321   2.81386   3.94609   5.51602   7.68609   14.78534   20.41397   28.10244   38.57485   52.79962   133.17552   35
36   2.03989   2.43254   2.89828   4.10393   5.79182   8.14725   15.96817   22.25123   30.91268   42.81808   59.13557   153.15185   36
37   2.08069   2.49335   2.98523   4.26809   6.08141   8.63609   17.24563   24.25384   34.00395   47.52807   66.23184   176.12463   37
38   2.12230   2.55568   3.07478   4.43881   6.38548   9.15425   18.62528   26.43668   37.40434   52.75616   74.17966   202.54332   38
39   2.16474   2.61957   3.16703   4.61637   6.70475   9.70351   20.11530   28.81598   41.14479   58.55934   83.08122   232.92482   39
40   2.20804   2.68506   3.26204   4.80102   7.03999   10.28572   21.72452   31.40942   45.25926   65.00087   93.05097   267.86355   40

TABLE 5.2 Present Value of 1 (Present Value of a Single Sum)

PVFn,i=1(1+i)n=(1+i)−n
(n) Periods 2% 2½% 3% 4% 5% 6% 8% 9% 10% 11% 12% 15% (n) Periods
1   .98039   .97561   .97087   .96154   .95238   .94340   .92593   .91743   .90909   .90090   .89286   .86957   1
2   .96117   .95181   .94260   .92456   .90703   .89000   .85734   .84168   .82645   .81162   .79719   .75614   2
3   .94232   .92860   .91514   .88900   .86384   .83962   .79383   .77218   .75132   .73119   .71178   .65752   3
4   .92385   .90595   .88849   .85480   .82270   .79209   .73503   .70843   .68301   .65873   .63552   .57175   4
5   .90573   .88385   .86261   .82193   .78353   .74726   .68058   .64993   .62092   .59345   .56743   .49718   5
6   .88797   .86230   .83748   .79031   .74622   .70496   .63017   .59627   .56447   .53464   .50663   .43233   6
7   .87056   .84127   .81309   .75992   .71068   .66506   .58349   .54703   .51316   .48166   .45235   .37594   7
8   .85349   .82075   .78941   .73069   .67684   .62741   .54027   .50187   .46651   .43393   .40388   .32690   8
9   .83676   .80073   .76642   .70259   .64461   .59190   .50025   .46043   .42410   .39092   .36061   .28426   9
10   .82035   .78120   .74409   .67556   .61391   .55839   .46319   .42241   .38554   .35218   .32197   .24719   10
11   .80426   .76214   .72242   .64958   .58468   .52679   .42888   .38753   .35049   .31728   .28748   .21494   11
12   .78849   .74356   .70138   .62460   .55684   .49697   .39711   .35554   .31863   .28584   .25668   .18691   12
13   .77303   .72542   .68095   .60057   .53032   .46884   .36770   .32618   .28966   .25751   .22917   .16253   13
14   .75788   .70773   .66112   .57748   .50507   .44230   .34046   .29925   .26333   .23199   .20462   .14133   14
15   .74301   .69047   .64186   .55526   .48102   .41727   .31524   .27454   .23939   .20900   .18270   .12289   15
16   .72845   .67362   .62317   .53391   .45811   .39365   .29189   .25187   .21763   .18829   .16312   .10687   16
17   .71416   .65720   .60502   .51337   .43630   .37136   .27027   .23107   .19785   .16963   .14564   .09293   17
18   .70016   .64117   .58739   .49363   .41552   .35034   .25025   .21199   .17986   .15282   .13004   .08081   18
19   .68643   .62553   .57029   .47464   .39573   .33051   .23171   .19449   .16351   .13768   .11611   .07027   19
20   .67297   .61027   .55368   .45639   .37689   .31180   .21455   .17843   .14864   .12403   .10367   .06110   20
21   .65978   .59539   .53755   .43883   .35894   .29416   .19866   .16370   .13513   .11174   .09256   .05313   21
22   .64684   .58086   .52189   .42196   .34185   .27751   .18394   .15018   .12285   .10067   .08264   .04620   22
23   .63416   .56670   .50669   .40573   .32557   .26180   .17032   .13778   .11168   .09069   .07379   .04017   23
24   .62172   .55288   .49193   .39012   .31007   .24698   .15770   .12641   .10153   .08170   .06588   .03493   24
25   .60953   .53939   .47761   .37512   .29530   .23300   .14602   .11597   .09230   .07361   .05882   .03038   25
26   .59758   .52623   .46369   .36069   .28124   .21981   .13520   .10639   .08391   .06631   .05252   .02642   26
27   .58586   .51340   .45019   .34682   .26785   .20737   .12519   .09761   .07628   .05974   .04689   .02297   27
28   .57437   .50088   .43708   .33348   .25509   .19563   .11591   .08955   .06934   .05382   .04187   .01997   28
29   .56311   .48866   .42435   .32065   .24295   .18456   .10733   .08216   .06304   .04849   .03738   .01737   29
30   .55207   .47674   .41199   .30832   .23138   .17411   .09938   .07537   .05731   .04368   .03338   .01510   30
31   .54125   .46511   .39999   .29646   .22036   .16425   .09202   .06915   .05210   .03935   .02980   .01313   31
32   .53063   .45377   .38834   .28506   .20987   .15496   .08520   .06344   .04736   .03545   .02661   .01142   32
33   .52023   .44270   .37703   .27409   .19987   .14619   .07889   .05820   .04306   .03194   .02376   .00993   33
34   .51003   .43191   .36604   .26355   .19035   .13791   .07305   .05340   .03914   .02878   .02121   .00864   34
35   .50003   .42137   .35538   .25342   .18129   .13011   .06763   .04899   .03558   .02592   .01894   .00751   35
36   .49022   .41109   .34503   .24367   .17266   .12274   .06262   .04494   .03235   .02335   .01691   .00653   36
37   .48061   .40107   .33498   .23430   .16444   .11579   .05799   .04123   .02941   .02104   .01510   .00568   37
38   .47119   .39128   .32523   .22529   .15661   .10924   .05369   .03783   .02674   .01896   .01348   .00494   38
39   .46195   .38174   .31575   .21662   .14915   .10306   .04971   .03470   .02430   .01708   .01204   .00429   39
40   .45289   .37243   .30656   .20829   .14205   .09722   .04603   .03184   .02210   .01538   .01075   .00373   40

TABLE 5.3 Future Value of an Ordinary Annuity of 1

FVF−OAn,i=(1+i)n−1i
(n) Periods 2% 2½% 3% 4% 5% 6% 8% 9% 10% 11% 12% 15% (n) Periods
1   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1
2   2.02000   2.02500   2.03000   2.04000   2.05000   2.06000   2.08000   2.09000   2.10000   2.11000   2.12000   2.15000   2
3   3.06040   3.07563   3.09090   3.12160   3.15250   3.18360   3.24640   3.27810   3.31000   3.34210   3.37440   3.47250   3
4   4.12161   4.15252   4.18363   4.24646   4.31013   4.37462   4.50611   4.57313   4.64100   4.70973   4.77933   4.99338   4
5   5.20404   5.25633   5.30914   5.41632   5.52563   5.63709   5.86660   5.98471   6.10510   6.22780   6.35285   6.74238   5
6   6.30812   6.38774   6.46841   6.63298   6.80191   6.97532   7.33592   7.52334   7.71561   7.91286   8.11519   8.75374   6
7   7.43428   7.54743   7.66246   7.89829   8.14201   8.39384   8.92280   9.20044   9.48717   9.78327   10.08901   11.06680   7
8   8.58297   8.73612   8.89234   9.21423   9.54911   9.89747   10.63663   11.02847   11.43589   11.85943   12.29969   13.72682   8
9   9.75463   9.95452   10.15911   10.58280   11.02656   11.49132   12.48756   13.02104   13.57948   14.16397   14.77566   16.78584   9
10   10.94972   11.20338   11.46338   12.00611   12.57789   13.18079   14.48656   15.19293   15.93743   16.72201   17.54874   20.30372   10
11   12.16872   12.48347   12.80780   13.48635   14.20679   14.97164   16.64549   17.56029   18.53117   19.56143   20.65458   24.34928   11
12   13.41209   13.79555   14.19203   15.02581   15.91713   16.86994   18.97713   20.14072   21.38428   22.71319   24.13313   29.00167   12
13   14.68033   15.14044   15.61779   16.62684   17.71298   18.88214   21.49530   22.95339   24.52271   26.21164   28.02911   34.35192   13
14   15.97394   16.51895   17.08632   18.29191   19.59863   21.01507   24.21492   26.01919   27.97498   30.09492   32.39260   40.50471   14
15   17.29342   17.93193   18.59891   20.02359   21.57856   23.27597   27.15211   29.36092   31.77248   34.40536   37.27972   47.58041   15
16   18.63929   19.38022   20.15688   21.82453   23.65749   25.67253   30.32428   33.00340   35.94973   39.18995   42.75328   55.71747   16
17   20.01207   20.86473   21.76159   23.69751   25.84037   28.21288   33.75023   36.97371   40.54470   44.50084   48.88367   65.07509   17
18   21.41231   22.38635   23.41444   25.64541   28.13238   30.90565   37.45024   41.30134   45.59917   50.39593   55.74972   75.83636   18
19   22.84056   23.94601   25.11687   27.67123   30.53900   33.75999   41.44626   46.01846   51.15909   56.93949   63.43968   88.21181   19
20   24.29737   25.54466   26.87037   29.77808   33.06595   36.78559   45.76196   51.16012   57.27500   64.20283   72.05244   102.44358   20
21   25.78332   27.18327   28.67649   31.96920   35.71925   39.99273   50.42292   56.76453   64.00250   72.26514   81.69874   118.81012   21
22   27.29898   28.86286   30.53678   34.24797   38.50521   43.39229   55.45676   62.87334   71.40275   81.21431   92.50258   137.63164   22
23   28.84496   30.58443   32.45288   36.61789   41.43048   46.99583   60.89330   69.53194   79.54302   91.14788   104.60289   159.27638   23
24   30.42186   32.34904   34.42647   39.08260   44.50200   50.81558   66.76476   76.78981   88.49733   102.17415   118.15524   184.16784   24
25   32.03030   34.15776   36.45926   41.64591   47.72710   54.86451   73.10594   84.70090   98.34706   114.41331   133.33387   212.79302   25
26   33.67091   36.01171   38.55304   44.31174   51.11345   59.15638   79.95442   93.32398   109.18177   127.99877   150.33393   245.71197   26
27   35.34432   37.91200   40.70963   47.08421   54.66913   63.70577   87.35077   102.72314   121.09994   143.07864   169.37401   283.56877   27
28   37.05121   39.85980   42.93092   49.96758   58.40258   68.52811   95.33883   112.96822   134.20994   159.81729   190.69889   327.10408   28
29   38.79223   41.85630   45.21885   52.96629   62.32271   73.63980   103.96594   124.13536   148.63093   178.39719   214.58275   377.16969   29
30   40.56808   43.90270   47.57542   56.08494   66.43885   79.05819   113.28321   136.30754   164.49402   199.02088   241.33268   434.74515   30
31   42.37944   46.00027   50.00268   59.32834   70.76079   84.80168   123.34587   149.57522   181.94343   221.91317   271.29261   500.95692   31
32   44.22703   48.15028   52.50276   62.70147   75.29883   90.88978   134.21354   164.03699   201.13777   247.32362   304.84772   577.10046   32
33   46.11157   50.35403   55.07784   66.20953   80.06377   97.34316   145.95062   179.80032   222.25154   275.52922   342.42945   644.66553   33
34   48.03380   52.61289   57.73018   69.85791   85.06696   104.18376   158.62667   196.98234   245.47670   306.83744   384.52098   765.36535   34
35   49.99448   54.92821   60.46208   73.65222   90.32031   111.43478   172.31680   215.71076   271.02437   341.58955   431.66350   881.17016   35
36   51.99437   57.30141   63.27594   77.59831   95.83632   119.12087   187.10215   236.12472   299.12681   380.16441   484.46312   1014.34568   36
37   54.03425   59.73395   66.17422   81.70225   101.62814   127.26812   203.07032   258.37595   330.03949   422.98249   543.59869   1167.49753   37
38   56.11494   62.22730   69.15945   85.97034   107.70955   135.90421   220.31595   282.62978   364.04343   470.51056   609.83053   1343.62216   38
39   58.23724   64.78298   72.23423   90.40915   114.09502   145.05846   238.94122   309.06646   401.44778   523.26673   684.01020   1546.16549   39
40   60.40198   67.40255   75.40126   95.02552   120.79977   154.76197   259.05652   337.88245   442.59256   581.82607   767.09142   1779.09031   40

TABLE 5.4 Present Value of an Ordinary Annuity of 1

PVF−OAn,i=1−1(1+i)ni
(n) Periods 2% 2½% 3% 4% 5% 6% 8% 9% 10% 11% 12% 15% (n) Periods
1   .98039   .97561   .97087   .96154   .95238   .94340   .92593   .91743   .90909   .90090   .89286   .86957   1
2   1.94156   1.92742   1.91347   1.88609   1.85941   1.83339   1.78326   1.75911   1.73554   1.71252   1.69005   1.62571   2
3   2.88388   2.85602   2.82861   2.77509   2.72325   2.67301   2.57710   2.53130   2.48685   2.44371   2.40183   2.28323   3
4   3.80773   3.76197   3.71710   3.62990   3.54595   3.46511   3.31213   3.23972   3.16986   3.10245   3.03735   2.85498   4
5   4.71346   4.64583   4.57971   4.45182   4.32948   4.21236   3.99271   3.88965   3.79079   3.69590   3.60478   3.35216   5
6   5.60143   5.50813   5.41719   5.24214   5.07569   4.91732   4.62288   4.48592   4.35526   4.23054   4.11141   3.78448   6
7   6.47199   6.34939   6.23028   6.00205   5.78637   5.58238   5.20637   5.03295   4.86842   4.71220   4.56376   4.16042   7
8   7.32548   7.17014   7.01969   6.73274   6.46321   6.20979   5.74664   5.53482   5.33493   5.14612   4.96764   4.48732   8
9   8.16224   7.97087   7.78611   7.43533   7.10782   6.80169   6.24689   5.99525   5.75902   5.53705   5.32825   4.77158   9
10   8.98259   8.75206   8.53020   8.11090   7.72173   7.36009   6.71008   6.41766   6.14457   5.88923   5.65022   5.01877   10
11   9.78685   9.51421   9.25262   8.76048   8.30641   7.88687   7.13896   6.80519   6.49506   6.20652   5.93770   5.23371   11
12   10.57534   10.25776   9.95400   9.38507   8.86325   8.38384   7.53608   7.16073   6.81369   6.49236   6.19437   5.42062   12
13   11.34837   10.98319   10.63496   9.98565   9.39357   8.85268   7.90378   7.48690   7.10336   6.74987   6.42355   5.58315   13
14   12.10625   11.69091   11.29607   10.56312   9.89864   9.29498   8.24424   7.78615   7.36669   6.98187   6.62817   5.72448   14
15   12.84926   12.38138   11.93794   11.11839   10.37966   9.71225   8.55948   8.06069   7.60608   7.19087   6.81086   5.84737   15
16   13.57771   13.05500   12.56110   11.65230   10.83777   10.10590   8.85137   8.31256   7.82371   7.37916   6.97399   5.95424   16
17   14.29187   13.71220   13.16612   12.16567   11.27407   10.47726   9.12164   8.54363   8.02155   7.54879   7.11963   6.04716   17
18   14.99203   14.35336   13.75351   12.65930   11.68959   10.82760   9.37189   8.75563   8.20141   7.70162   7.24967   6.12797   18
19   15.67846   14.97889   14.32380   13.13394   12.08532   11.15812   9.60360   8.95012   8.36492   7.83929   7.36578   6.19823   19
20   16.35143   15.58916   14.87747   13.59033   12.46221   11.46992   9.81815   9.12855   8.51356   7.96333   7.46944   6.25933   20
21   17.01121   16.18455   15.41502   14.02916   12.82115   11.76408   10.01680   9.29224   8.64869   8.07507   7.56200   6.31246   21
22   17.65805   16.76541   15.93692   14.45112   13.16300   12.04158   10.20074   9.44243   8.77154   8.17574   7.64465   6.35866   22
23   18.29220   17.33211   16.44361   14.85684   13.48857   12.30338   10.37106   9.58021   8.88322   8.26643   7.71843   6.39884   23
24   18.91393   17.88499   16.93554   15.24696   13.79864   12.55036   10.52876   9.70661   8.98474   8.34814   7.78432   6.43377   24
25   19.52346   18.42438   17.41315   15.62208   14.09394   12.78336   10.67478   9.82258   9.07704   8.42174   7.84314   6.46415   25
26   20.12104   18.95061   17.87684   15.98277   14.37519   13.00317   10.80998   9.92897   9.16095   8.48806   7.89566   6.49056   26
27   20.70690   19.46401   18.32703   16.32959   14.64303   13.21053   10.93516   10.02658   9.23722   8.54780   7.94255   6.51353   27
28   21.28127   19.96489   18.76411   16.66306   14.89813   13.40616   11.05108   10.11613   9.30657   8.60162   7.98442   6.53351   28
29   21.84438   20.45355   19.18845   16.98371   15.14107   13.59072   11.15841   10.19828   9.36961   8.65011   8.02181   6.55088   29
30   22.39646   20.93029   19.60044   17.29203   15.37245   13.76483   11.25778   10.27365   9.42691   8.69379   8.05518   6.56598   30
31   22.93770   21.39541   20.00043   17.58849   15.59281   13.92909   11.34980   10.34280   9.47901   8.73315   8.08499   6.57911   31
32   23.46833   21.84918   20.38877   17.87355   15.80268   14.08404   11.43500   10.40624   9.52638   8.76860   8.11159   6.59053   32
33   23.98856   22.29188   20.76579   18.14765   16.00255   14.23023   11.51389   10.46444   9.56943   8.80054   8.13535   6.60046   33
34   24.49859   22.72379   21.13184   18.41120   16.19290   14.36814   11.58693   10.51784   9.60858   8.82932   8.15656   6.60910   34
35   24.99862   23.14516   21.48722   18.66461   16.37419   14.49825   11.65457   10.56682   9.64416   8.85524   8.17550   6.61661   35
36   25.48884   23.55625   21.83225   18.90828   16.54685   14.62099   11.71719   10.61176   9.67651   8.87859   8.19241   6.62314   36
37   25.96945   23.95732   22.16724   19.14258   16.71129   14.73678   11.77518   10.65299   9.70592   8.89963   8.20751   6.62882   37
38   26.44064   24.34860   22.49246   19.36786   16.86789   14.84602   11.82887   10.69082   9.73265   8.91859   8.22099   6.63375   38
39   26.90259   24.73034   22.80822   19.58448   17.01704   14.94907   11.87858   10.72552   9.75697   8.93567   8.23303   6.63805   39
40   27.35548   25.10278   23.11477   19.79277   17.15909   15.04630   11.92461   10.75736   9.77905   8.95105   8.24378   6.64178   40

TABLE 5.5 Present Value of an Annuity Due of 1

(n) Periods 2% 2½% 3% 4% 5% 6% 8% 9% 10% 11% 12% 15% (n) Periods
1   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1
2   1.98039   1.97561   1.97087   1.96154   1.95238   1.94340   1.92593   1.91743   1.90909   1.90090   1.89286   1.86957   2
3   2.94156   2.92742   2.91347   2.88609   2.85941   2.83339   2.78326   2.75911   2.73554   2.71252   2.69005   2.62571   3
4   3.88388   3.85602   3.82861   3.77509   3.72325   3.67301   3.57710   3.53130   3.48685   3.44371   3.40183   3.28323   4
5   4.80773   4.76197   4.71710   4.62990   4.54595   4.46511   4.31213   4.23972   4.16986   4.10245   4.03735   3.85498   5
6   5.71346   5.64583   5.57971   5.45182   5.32948   5.21236   4.99271   4.88965   4.79079   4.69590   4.60478   4.35216   6
7   6.60143   6.50813   6.41719   6.24214   6.07569   5.91732   5.62288   5.48592   5.35526   5.23054   5.11141   4.78448   7
8   7.47199   7.34939   7.23028   7.00205   6.78637   6.58238   6.20637   6.03295   5.86842   5.71220   5.56376   5.16042   8
9   8.32548   8.17014   8.01969   7.73274   7.46321   7.20979   6.74664   6.53482   6.33493   6.14612   5.96764   5.48732   9
10   9.16224   8.97087   8.78611   8.43533   8.10782   7.80169   7.24689   6.99525   6.75902   6.53705   6.32825   5.77158   10
11   9.98259   9.75206   9.53020   9.11090   8.72173   8.36009   7.71008   7.41766   7.14457   6.88923   6.65022   6.01877   11
12   10.78685   10.51421   10.25262   9.76048   9.30641   8.88687   8.13896   7.80519   7.49506   7.20652   6.93770   6.23371   12
13   11.57534   11.25776   10.95400   10.38507   9.86325   9.38384   8.53608   8.16073   7.81369   7.49236   7.19437   6.42062   13
14   12.34837   11.98319   11.63496   10.98565   10.39357   9.85268   8.90378   8.48690   8.10336   7.74987   7.42355   6.58315   14
15   13.10625   12.69091   12.29607   11.56312   10.89864   10.29498   9.24424   8.78615   8.36669   7.98187   7.62817   6.72448   15
16   13.84926   13.38138   12.93794   12.11839   11.37966   10.71225   9.55948   9.06069   8.60608   8.19087   7.81086   6.84737   16
17   14.57771   14.05500   13.56110   12.65230   11.83777   11.10590   9.85137   9.31256   8.82371   8.37916   7.97399   6.95424   17
18   15.29187   14.71220   14.16612   13.16567   12.27407   11.47726   10.12164   9.54363   9.02155   8.54879   8.11963   7.04716   18
19   15.99203   15.35336   14.75351   13.65930   12.68959   11.82760   10.37189   9.75563   9.20141   8.70162   8.24967   7.12797   19
20   16.67846   15.97889   15.32380   14.13394   13.08532   12.15812   10.60360   9.95012   9.36492   8.83929   8.36578   7.19823   20
21   17.35143   16.58916   15.87747   14.59033   13.46221   12.46992   10.81815   10.12855   9.51356   8.96333   8.46944   7.25933   21
22   18.01121   17.18455   16.41502   15.02916   13.82115   12.76408   11.01680   10.29224   9.64869   9.07507   8.56200   7.31246   22
23   18.65805   17.76541   16.93692   15.45112   14.16300   13.04158   11.20074   10.44243   9.77154   9.17574   8.64465   7.35866   23
24   19.29220   18.33211   17.44361   15.85684   14.48857   13.30338   11.37106   10.58021   9.88322   9.26643   8.71843   7.39884   24
25   19.91393   18.88499   17.93554   16.24696   14.79864   13.55036   11.52876   10.70661   9.98474   9.34814   8.78432   7.43377   25
26   20.52346   19.42438   18.41315   16.62208   15.09394   13.78336   11.67478   10.82258   10.07704   9.42174   8.84314   7.46415   26
27   21.12104   19.95061   18.87684   16.98277   15.37519   14.00317   11.80998   10.92897   10.16095   9.48806   8.89566   7.49056   27
28   21.70690   20.46401   19.32703   17.32959   15.64303   14.21053   11.93518   11.02658   10.23722   9.54780   8.94255   7.51353   28
29   22.28127   20.96489   19.76411   17.66306   15.89813   14.40616   12.05108   11.11613   10.30657   9.60162   8.98442   7.53351   29
30   22.84438   21.45355   20.18845   17.98371   16.14107   14.59072   12.15841   11.19828   10.36961   9.65011   9.02181   7.55088   30
31   23.39646   21.93029   20.60044   18.29203   16.37245   14.76483   12.25778   11.27365   10.42691   9.69379   9.05518   7.56598   31
32   23.93770   22.39541   21.00043   18.58849   16.59281   14.92909   12.34980   11.34280   10.47901   9.73315   9.08499   7.57911   32
33   24.46833   22.84918   21.38877   18.87355   16.80268   15.08404   12.43500   11.40624   10.52638   9.76860   9.11159   7.59053   33
34   24.98856   23.29188   21.76579   19.14765   17.00255   15.23023   12.51389   11.46444   10.56943   9.80054   9.13535   7.60046   34
35   25.49859   23.72379   22.13184   19.41120   17.19290   15.36814   12.58693   11.51784   10.60858   9.82932   9.15656   7.60910   35
36   25.99862   24.14516   22.48722   19.66461   17.37419   15.49825   12.65457   11.56682   10.64416   9.85524   9.17550   7.61661   36
37   26.48884   24.55625   22.83225   19.90828   17.54685   15.62099   12.71719   11.61176   10.67651   9.87859   9.19241   7.62314   37
38   26.96945   24.95732   23.16724   20.14258   17.71129   15.73678   12.77518   11.65299   10.70592   9.89963   9.20751   7.62882   38
39   27.44064   25.34860   23.49246   20.36786   17.86789   15.84602   12.82887   11.69082   10.73265   9.91859   9.22099   7.63375   39
40   27.90259   25.73034   23.80822   20.58448   18.01704   15.94907   12.87858   11.72552   10.75697   9.93567   9.23303   7.63805   40