FVIFA Calculator

Oct 24, 2018

FVIFA Calculator is used to calculate the FVIFA factor of a series of annuities Checkout the FV Table below which shows FVIFAs for rates from 0.25% to 20% and periods from 1 to 50.

FVIFA:
..

What does FVIFA mean?
FVIFA or the future value interest factor of annuity is a factor that is used to calculate the future value of a series of annuities.

Formula

FVIFA = `((1 + r / 100) ^ n - 1) / (r / 100)`

Where:-

  • r = interest rate per period
  • n = number of period
Example

Suppose we want to calculate the FVIFA for 12 periods with an interest rate of 10%. Using the above formula:-

  • `((1 + r / 100) ^ n - 1) / (r / 100)`
  • `((1 + 10 / 100) ^ 12 - 1) / (10 / 100)`
  • `((1 + 0.1) ^ 12 - 1) / 0.1`
  • `(1.1 ^ 12 - 1) / 0.1`
  • `(3.1384 - 1) / 0.1`
  • `2.1384 / 0.1`
  • FVIFA = `21.3843`

FVIFA Table

FVIFA can also be calculated using the future value table given below:-

Period0.25%0.5%
111
22.00252.005
33.00753.015
44.0154.0301
55.02515.0503
66.03766.0755
77.05277.1059
88.07048.1414
99.09059.1821
1010.113310.228
1111.138511.2792
1212.166412.3356
1313.196813.3972
1414.229814.4642
1515.265415.5365
1616.303516.6142
1717.344317.6973
1818.387618.7858
1919.433619.8797
2020.482220.9791
2121.533422.084
2222.587223.1944
2323.643724.3104
2424.702825.432
2525.764626.5591
2626.82927.6919
2727.896128.8304
2828.965829.9745
2930.038231.1244
3031.113332.28
3132.191133.4414
3233.271634.6086
3334.354735.7817
3435.440636.9606
3536.529238.1454
3637.620639.3361
3738.714640.5328
3839.811441.7354
3940.910942.9441
4042.013244.1588
4143.118245.3796
4244.22646.6065
4345.336647.8396
4446.449949.0788
4547.566150.3242
4648.68551.5758
4749.806752.8337
4850.931254.0978
4952.058555.3683
5053.188756.6452
Period0.75%1%
111
22.00752.01
33.02263.0301
44.04524.0604
55.07565.101
66.11366.152
77.15957.2135
88.21328.2857
99.27489.3685
1010.344310.4622
1111.421911.5668
1212.507612.6825
1313.601413.8093
1414.703414.9474
1515.813716.0969
1616.932317.2579
1718.059318.4304
1819.194719.6147
1920.338720.8109
2021.491222.019
2122.652423.2392
2223.822324.4716
2325.00125.7163
2426.188526.9735
2527.384928.2432
2628.590329.5256
2729.804730.8209
2831.028232.1291
2932.260933.4504
3033.502934.7849
3134.754236.1327
3236.014837.4941
3337.284938.869
3438.564640.2577
3539.853841.6603
3641.152743.0769
3742.461444.5076
3843.779845.9527
3945.108247.4123
4046.446548.8864
4147.794850.3752
4249.153351.879
4350.521953.3978
4451.900954.9318
4553.290156.4811
4654.689858.0459
4756.159.6263
4857.520761.2226
4958.952162.8348
5060.394364.4632
Period1.5%2%
111
22.0152.02
33.04523.0604
44.09094.1216
55.15235.204
66.22966.3081
77.3237.4343
88.43288.583
99.55939.7546
1010.702710.9497
1111.863312.1687
1213.041213.4121
1314.236814.6803
1415.450415.9739
1516.682117.2934
1617.932418.6393
1719.201420.0121
1820.489421.4123
1921.796722.8406
2023.123724.2974
2124.470525.7833
2225.837627.299
2327.225128.845
2428.633530.4219
2530.06332.0303
2631.51433.6709
2732.986735.3443
2834.481537.0512
2935.998738.7922
3037.538740.5681
3139.101842.3794
3240.688344.227
3342.298646.1116
3443.933148.0338
3545.592149.9945
3647.27651.9944
3748.985154.0343
3850.719956.1149
3952.480758.2372
4054.267960.402
4156.081962.61
4257.923164.8622
4359.79267.1595
4461.688969.5027
4563.614271.8927
4665.568474.3306
4767.551976.8172
4869.565279.3535
4971.608781.9406
5073.682884.5794
Period2.5%3%
111
22.0252.03
33.07563.0909
44.15254.1836
55.25635.3091
66.38776.4684
77.54747.6625
88.73618.8923
99.954510.1591
1011.203411.4639
1112.483512.8078
1213.795614.192
1315.140415.6178
1416.51917.0863
1517.931918.5989
1619.380220.1569
1720.864721.7616
1822.386323.4144
1923.94625.1169
2025.544726.8704
2127.183328.6765
2228.862930.5368
2330.584432.4529
2432.34934.4265
2534.157836.4593
2636.011738.553
2737.91240.7096
2839.859842.9309
2941.856345.2189
3043.902747.5754
3146.000350.0027
3248.150352.5028
3350.35455.0778
3452.612957.7302
3554.928260.4621
3657.301463.2759
3759.733966.1742
3862.227369.1594
3964.78372.2342
4067.402675.4013
4170.087678.6633
4272.839882.0232
4375.660885.4839
4478.552389.0484
4581.516192.7199
4684.55496.5015
4787.6679100.3965
4890.8596104.4084
4994.1311108.5406
5097.4843112.7969
Period3.5%4%
111
22.0352.04
33.10623.1216
44.21494.2465
55.36255.4163
66.55026.633
77.77947.8983
89.05179.2142
910.368510.5828
1011.731412.0061
1113.14213.4864
1214.60215.0258
1316.11316.6268
1417.67718.2919
1519.295720.0236
1620.97121.8245
1722.70523.6975
1824.499725.6454
1926.357227.6712
2028.279729.7781
2130.269531.9692
2232.328934.248
2334.460436.6179
2436.666539.0826
2538.949941.6459
2641.313144.3117
2743.759147.0842
2846.290649.9676
2948.910852.9663
3051.622756.0849
3154.429559.3283
3257.334562.7015
3360.341266.2095
3463.453269.8579
3566.67473.6522
3670.007677.5983
3773.457981.7022
3877.028985.9703
3980.724990.4091
4084.550395.0255
4188.509599.8265
4292.6074104.8196
4396.8486110.0124
44101.2383115.4129
45105.7817121.0294
46110.484126.8706
47115.351132.9454
48120.3883139.2632
49125.6018145.8337
50130.9979152.6671
Period4.5%5%
111
22.0452.05
33.1373.1525
44.27824.3101
55.47075.5256
66.71696.8019
78.01928.142
89.389.5491
910.802111.0266
1012.288212.5779
1113.841214.2068
1215.46415.9171
1317.159917.713
1418.932119.5986
1520.784121.5786
1622.719323.6575
1724.741725.8404
1826.855128.1324
1929.063630.539
2031.371433.066
2133.783135.7193
2236.303438.5052
2338.93741.4305
2441.689244.502
2544.565247.7271
2647.570651.1135
2750.711354.6691
2853.993358.4026
2957.42362.3227
3061.007166.4388
3164.752470.7608
3268.666275.2988
3372.756280.0638
3477.030385.067
3581.496690.3203
3686.16495.8363
3791.0413101.6281
3896.1382107.7095
39101.4644114.095
40107.0303120.7998
41112.8467127.8398
42118.9248135.2318
43125.2764142.9933
44131.9138151.143
45138.85159.7002
46146.0982168.6852
47153.6726178.1194
48161.5879188.0254
49169.8594198.4267
50178.503209.348
Period5.5%6%
111
22.0552.06
33.1683.1836
44.34234.3746
55.58115.6371
66.88816.9753
78.26698.3938
89.72169.8975
911.256311.4913
1012.875413.1808
1114.583514.9716
1216.385616.8699
1318.286818.8821
1420.292621.0151
1522.408723.276
1624.641125.6725
1726.996428.2129
1829.481230.9057
1932.102733.76
2034.868336.7856
2137.786139.9927
2240.864343.3923
2344.111846.9958
2447.53850.8156
2551.152654.8645
2654.96659.1564
2758.989163.7058
2863.233568.5281
2967.711473.6398
3072.435579.0582
3177.419484.8017
3282.677590.8898
3388.224897.3432
3494.0771104.1838
35100.2514111.4348
36106.7652119.1209
37113.6373127.2681
38120.8873135.9042
39128.5361145.0585
40136.6056154.762
41145.1189165.0477
42154.1005175.9505
43163.576187.5076
44173.5727199.758
45184.1192212.7435
46195.2457226.5081
47206.9842241.0986
48219.3684256.5645
49232.4336272.9584
50246.2175290.3359
Period6.5%7%
111
22.0652.07
33.19923.2149
44.40724.4399
55.69365.7507
67.06377.1533
78.52298.654
810.076910.2598
911.731911.978
1013.494413.8164
1115.371615.7836
1217.370717.8885
1319.499820.1406
1421.767322.5505
1524.182225.129
1626.75427.8881
1729.49330.8402
1832.410133.999
1935.516737.379
2038.825340.9955
2142.34944.8652
2246.101649.0057
2350.098253.4361
2454.354658.1767
2558.887763.249
2663.715468.6765
2768.856974.4838
2874.332680.6977
2980.164287.3465
3086.374994.4608
3192.9892102.073
32100.0335110.2182
33107.5357118.9334
34115.5255128.2588
35124.0347138.2369
36133.0969148.9135
37142.7482160.3374
38153.0269172.561
39163.9736185.6403
40175.6319199.6351
41188.048214.6096
42201.2711230.6322
43215.3537247.7765
44230.3517266.1209
45246.3246285.7493
46263.3357306.7518
47281.4525329.2244
48300.7469353.2701
49321.2955378.999
50343.1797406.5289
Period7.5%8%
111
22.0752.08
33.23063.2464
44.47294.5061
55.80845.8666
67.2447.3359
78.78738.9228
810.446410.6366
912.229812.4876
1014.147114.4866
1116.208116.6455
1218.423718.9771
1320.805521.4953
1423.365924.2149
1526.118427.1521
1629.077230.3243
1732.25833.7502
1835.677437.4502
1939.353241.4463
2043.304745.762
2147.552550.4229
2252.11955.4568
2357.027960.8933
2462.30566.7648
2567.977973.1059
2674.076279.9544
2780.631987.3508
2887.679395.3388
2995.2553103.9659
30103.3994113.2832
31112.1544123.3459
32121.5659134.2135
33131.6834145.9506
34142.5596158.6267
35154.2516172.3168
36166.8205187.1021
37180.332203.0703
38194.8569220.3159
39210.4712238.9412
40227.2565259.0565
41245.3008280.781
42264.6983304.2435
43285.5507329.583
44307.967356.9496
45332.0645386.5056
46357.9694418.4261
47385.8171452.9002
48415.7533490.1322
49447.9348530.3427
50482.5299573.7702
Period8.5%9%
111
22.0852.09
33.26223.2781
44.53954.5731
55.92545.9847
67.4297.5233
79.06059.2004
810.830611.0285
912.751213.021
1014.835115.1929
1117.096117.5603
1219.549220.1407
1322.210922.9534
1425.098926.0192
1528.232329.3609
1631.63233.0034
1735.320736.9737
1839.32341.3013
1943.665446.0185
2048.37751.1601
2153.489156.7645
2259.035662.8733
2365.053769.5319
2471.583276.7898
2578.667884.7009
2686.354693.324
2794.6947102.7231
28103.7437112.9682
29113.562124.1354
30124.2147136.3075
31135.773149.5752
32148.3137164.037
33161.9203179.8003
34176.6836196.9823
35192.7017215.7108
36210.0813236.1247
37228.9382258.3759
38249.398282.6298
39271.5968309.0665
40295.6825337.8824
41321.8156369.2919
42350.1699403.5281
43380.9343440.8457
44414.3137481.5218
45450.5304525.8587
46489.8255574.186
47532.4606626.8628
48578.7198684.2804
49628.911746.8656
50683.3684815.0836
Period9.5%10%
111
22.0952.1
33.2943.31
44.6074.641
56.04466.1051
67.61897.7156
79.34269.4872
811.230211.4359
913.297113.5795
1015.560315.9374
1118.038518.5312
1220.752221.3843
1323.723624.5227
1426.977427.975
1530.540231.7725
1634.441635.9497
1738.713540.5447
1843.391345.5992
1948.513551.1591
2054.122257.275
2160.263864.0025
2266.988971.4027
2374.352979.543
2482.416488.4973
2591.245998.3471
26100.9143109.1818
27111.5012121.0999
28123.0938134.2099
29135.7877148.6309
30149.6875164.494
31164.9078181.9434
32181.5741201.1378
33199.8236222.2515
34219.8068245.4767
35241.6885271.0244
36265.6489299.1268
37291.8855330.0395
38320.6147364.0434
39352.0731401.4478
40386.52442.5926
41424.2394487.8518
42465.5421537.637
43510.7686592.4007
44560.2917652.6408
45614.5194718.9048
46673.8987791.7953
47738.9191871.9749
48810.1164960.1723
49888.07751057.1896
50973.44481163.9085
Period11%12%
111
22.112.12
33.34213.3744
44.70974.7793
56.22786.3528
67.91298.1152
79.783310.089
811.859412.2997
914.16414.7757
1016.72217.5487
1119.561420.6546
1222.713224.1331
1326.211628.0291
1430.094932.3926
1534.405437.2797
1639.189942.7533
1744.500848.8837
1850.395955.7497
1956.939563.4397
2064.202872.0524
2172.265181.6987
2281.214392.5026
2391.1479104.6029
24102.1742118.1552
25114.4133133.3339
26127.9988150.3339
27143.0786169.374
28159.8173190.6989
29178.3972214.5828
30199.0209241.3327
31221.9132271.2926
32247.3236304.8477
33275.5292342.4294
34306.8374384.521
35341.5896431.6635
36380.1644484.4631
37422.9825543.5987
38470.5106609.8305
39523.2667684.0102
40581.8261767.0914
41646.8269860.1424
42718.9779964.3595
43799.06551081.0826
44887.96271211.8125
45986.63861358.23
461096.16881522.2176
471217.74741705.8838
481352.69961911.5898
491502.49652141.9806
501668.77122400.0182
Period13%14%
111
22.132.14
33.40693.4396
44.84984.9211
56.48036.6101
68.32278.5355
710.404710.7305
812.757313.2328
915.415716.0853
1018.419719.3373
1121.814323.0445
1225.650227.2707
1329.984732.0887
1434.882737.5811
1540.417543.8424
1646.671750.9804
1753.739159.1176
1861.725168.3941
1970.749478.9692
2080.946891.0249
2192.4699104.7684
22105.491120.436
23120.2048138.297
24136.8315158.6586
25155.6196181.8708
26176.8501208.3327
27200.8406238.4993
28227.9499272.8892
29258.5834312.0937
30293.1992356.7868
31332.3151407.737
32376.5161465.8202
33426.4632532.035
34482.9034607.5199
35546.6808693.5727
36618.7493791.6729
37700.1867903.5071
38792.2111030.9981
39896.19841176.3378
401013.70421342.0251
411146.48581530.9086
421296.52891746.2358
431466.07771991.7088
441657.66782271.5481
451874.16462590.5648
462118.8062954.2439
472395.25083368.838
482707.63343841.4753
493060.62584380.2819
503459.50714994.5213
Period15%16%
111
22.152.16
33.47253.5056
44.99345.0665
56.74246.8771
68.75378.9775
711.066811.4139
813.726814.2401
916.785817.5185
1020.303721.3215
1124.349325.7329
1229.001730.8502
1334.351936.7862
1440.504743.672
1547.580451.6595
1655.717560.925
1765.075171.673
1875.836484.1407
1988.211898.6032
20102.4436115.3797
21118.8101134.8405
22137.6316157.415
23159.2764183.6014
24184.1678213.9776
25212.793249.214
26245.712290.0883
27283.5688337.5024
28327.1041392.5028
29377.1697456.3032
30434.7451530.3117
31500.9569616.1616
32577.1005715.7475
33664.6655831.2671
34765.3654965.2698
35881.17021120.713
361014.34571301.027
371167.49751510.1914
381343.62221752.822
391546.16552034.2735
401779.09032360.7572
412046.95392739.4784
422354.99693178.7949
432709.24653688.4021
443116.63344279.5465
453585.12854965.2739
464123.89775760.7177
474743.48246683.4326
485456.00477753.7818
496275.40558995.3869
507217.716310435.6488
Period17%18%
111
22.172.18
33.53893.5724
45.14055.2154
57.01447.1542
69.20689.442
711.77212.1415
814.773315.327
918.284719.0859
1022.393123.5213
1127.199928.7551
1232.823934.9311
1339.40442.2187
1447.102750.818
1556.110160.9653
1666.648872.939
1778.979287.068
1893.4056103.7403
19110.2846123.4135
20130.0329146.628
21153.1385174.021
22180.1721206.3448
23211.8013244.4868
24248.8076289.4945
25292.1049342.6035
26342.7627405.2721
27402.0323479.2211
28471.3778566.4809
29552.5121669.4475
30647.4391790.948
31758.5038934.3186
32888.44941103.496
331040.48581303.1253
341218.36841538.6878
351426.4911816.6516
361669.99452144.6489
371954.89362531.6857
382288.22552988.3891
392678.22383527.2992
403134.52184163.213
413668.39064913.5914
424293.01695799.0378
435023.82986843.8646
445878.88098076.7603
456879.29079531.5771
468049.770111248.261
479419.23113273.948
4811021.500215664.2586
4912896.155318484.8251
5015089.501721813.0937
Period19%20%
111
22.192.2
33.60613.64
45.29135.368
57.29667.4416
69.6839.9299
712.522712.9159
815.90216.4991
919.923420.7989
1024.708925.9587
1130.403532.1504
1237.180239.5805
1345.244548.4966
1454.840959.1959
1566.260772.0351
1679.850287.4421
1796.0218105.9306
18115.2659128.1167
19138.1664154.74
20165.418186.688
21197.8474225.0256
22236.4385271.0307
23282.3618326.2369
24337.0105392.4842
25402.0425471.9811
26479.4306567.3773
27571.5224681.8528
28681.1116819.2233
29811.5228984.068
30966.71221181.8816
311151.38751419.2579
321371.15111704.1095
331632.66982045.9314
341943.87712456.1176
352314.21372948.3411
362754.91433539.0094
373279.34814247.8112
383903.42425098.3735
394646.07486119.0482
405529.8297343.8578
416581.49658813.6294
427832.980810577.3553
439322.247212693.8263
4411094.474115233.5916
4513203.424218281.3099
4615713.074821938.5719
4718699.55926327.2863
4822253.475331593.7436
4926482.635637913.4923
5031515.336345497.1908
Comments 0

History
Aug 26, 2018
Calculation formula breakdown and table
May 22, 2018
Tool Launched