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Future Value Interest Factor (FVIF) Table

The Future Value Interest Factor (FVIF) is a powerful tool for calculating how much your initial investment will grow over a given period, considering a specific interest rate and time frame.

Let’s illustrate this with an example. Suppose you deposit $1,000 into a savings account offering compound interest at an annual rate of 5%. At the end of the first year, your investment earns 5% interest, amounting to $50. This increases your total to $1,050. In the second year, the magic of compound interest comes into play. You earn 5% interest not just on your original $1,000 but also on the additional $50 earned in the first year. This brings your principal for the second year to $1,050, on which you then earn $52.50 in interest. Thus, your total at the end of the second year becomes $1,102.50.

By the third year, your interest calculation is based on $1,102.50. This progression showcases the ‘interest on interest’ effect central to the compound interest concept. Even if the interest rate remains constant, the total amount accumulates increasingly rapidly over time.

However, manually calculating this growth each time can be laborious. Here, the Future Value Interest Factor (FVIF) simplifies the process. The formula for FVIF is:

FVIF = (1 + r)^n

In this formula, ‘r’ represents the interest rate per period. This could be the annual rate for annual compounding or the monthly rate for monthly compounding. The ‘n’ denotes the number of investment periods, which could be the total years for annual compounding or the total months for monthly compounding.

Future Value Interest Factor Table - Featured Image

For ease of computation, we have compiled a comprehensive FVIF table, detailed below:

Table 1: Interest Rate r = 1%-5%, Number of Periods n = 1-25

Number of Periods1%2%3%4%5%
11.01001.02001.03001.04001.0500
21.02011.04041.06091.08161.1025
31.03031.06121.09271.12491.1576
41.04061.08241.12551.16991.2155
51.05101.10411.15931.21671.2763
61.06151.12621.19411.26531.3401
71.07211.14871.22991.31591.4071
81.08291.17171.26681.36861.4775
91.09371.19511.30481.42331.5513
101.10461.21901.34391.48021.6289
111.11571.24341.38421.53951.7103
121.12681.26821.42581.60101.7959
131.13811.29361.46851.66511.8856
141.14951.31951.51261.73171.9799
151.16101.34591.55801.80092.0789
161.17261.37281.60471.87302.1829
171.18431.40021.65281.94792.2920
181.19611.42821.70242.02582.4066
191.20811.45681.75352.10682.5270
201.22021.48591.80612.19112.6533
211.23241.51571.86032.27882.7860
221.24471.54601.91612.36992.9253
231.25721.57691.97362.46473.0715
241.26971.60842.03282.56333.2251
251.28241.64062.09382.66583.3864

Table 2: Interest Rate r = 1%-5%, Number of Periods n = 26-50

Number of Periods1%2%3%4%5%
261.29531.67342.15662.77253.5557
271.30821.70692.22132.88343.7335
281.32131.74102.28792.99873.9201
291.33451.77582.35663.11874.1161
301.34781.81142.42733.24344.3219
311.36131.84762.50013.37314.5380
321.37491.88452.57513.50814.7649
331.38871.92222.65233.64845.0032
341.40261.96072.73193.79435.2533
351.41661.99992.81393.94615.5160
361.43082.03992.89834.10395.7918
371.44512.08072.98524.26816.0814
381.45952.12233.07484.43886.3855
391.47412.16473.16704.61646.7048
401.48892.20803.26204.80107.0400
411.50382.25223.35994.99317.3920
421.51882.29723.46075.19287.7616
431.53402.34323.56455.40058.1497
441.54932.39013.67155.61658.5572
451.56482.43793.78165.84128.9850
461.58052.48663.89506.07489.4343
471.59632.53634.01196.31789.9060
481.61222.58714.13236.570510.4013
491.62832.63884.25626.833310.9213
501.64462.69164.38397.106711.4674

Table 3: Interest Rate r = 6%-10%, Number of Periods n = 1-25

Number of Periods6%7%8%9%10%
11.06001.07001.08001.09001.1000
21.12361.14491.16641.18811.2100
31.19101.22501.25971.29501.3310
41.26251.31081.36051.41161.4641
51.33821.40261.46931.53861.6105
61.41851.50071.58691.67711.7716
71.50361.60581.71381.82801.9487
81.59381.71821.85091.99262.1436
91.68951.83851.99902.17192.3579
101.79081.96722.15892.36742.5937
111.89832.10492.33162.58042.8531
122.01222.25222.51822.81273.1384
132.13292.40982.71963.06583.4523
142.26092.57852.93723.34173.7975
152.39662.75903.17223.64254.1772
162.54042.95223.42593.97034.5950
172.69283.15883.70004.32765.0545
182.85433.37993.99604.71715.5599
193.02563.61654.31575.14176.1159
203.20713.86974.66105.60446.7275
213.39964.14065.03386.10887.4002
223.60354.43045.43656.65868.1403
233.81974.74055.87157.25798.9543
244.04895.07246.34127.91119.8497
254.29195.42746.84858.623110.8347

Table 4: Interest Rate r = 6%-10%, Number of Periods n = 26-50

Number of Periods6%7%8%9%10%
264.54945.80747.39649.399211.9182
274.82236.21397.988110.245113.1100
285.11176.64888.627111.167114.4210
295.41847.11439.317312.172215.8631
305.74357.612310.062713.267717.4494
316.08818.145110.867714.461819.1943
326.45348.715311.737115.763321.1138
336.84069.325312.676017.182023.2252
347.25109.978113.690118.728425.5477
357.686110.676614.785320.414028.1024
368.147311.423915.968222.251230.9127
378.636112.223617.245624.253834.0039
389.154313.079318.625326.436737.4043
399.703513.994820.115328.816041.1448
4010.285714.974521.724531.409445.2593
4110.902916.022723.462534.236349.7852
4211.557017.144325.339537.317554.7637
4312.250518.344427.366640.676160.2401
4412.985519.628529.556044.337066.2641
4513.764621.002531.920448.327372.8905
4614.590522.472634.474152.676780.1795
4715.465924.045737.232057.417688.1975
4816.393925.728940.210662.585297.0172
4917.377527.529943.427468.2179106.7190
5018.420229.457046.901674.3575117.3909

Table 5: Interest Rate r = 11%-15%, Number of Periods n = 1-25

Number of Periods11%12%13%14%15%
11.11001.12001.13001.14001.1500
21.23211.25441.27691.29961.3225
31.36761.40491.44291.48151.5209
41.51811.57351.63051.68901.7490
51.68511.76231.84241.92542.0114
61.87041.97382.08202.19502.3131
72.07622.21072.35262.50232.6600
82.30452.47602.65842.85263.0590
92.55802.77313.00403.25193.5179
102.83943.10583.39463.70724.0456
113.15183.47853.83594.22624.6524
123.49853.89604.33454.81795.3503
133.88334.36354.89805.49246.1528
144.31044.88715.53486.26137.0757
154.78465.47366.25437.13798.1371
165.31096.13047.06738.13729.3576
175.89516.86607.98619.276510.7613
186.54367.69009.024310.575212.3755
197.26338.612810.197412.055714.2318
208.06239.646311.523113.743516.3665
218.949210.803813.021115.667618.8215
229.933612.100314.713817.861021.6447
2311.026313.552316.626620.361624.8915
2412.239215.178618.788123.212228.6252
2513.585517.000121.230526.461932.9190

Table 6: Interest Rate r = 11%-15%, Number of Periods n = 26-50

Number of Periods11%12%13%14%15%
2615.079919.040123.990530.166637.8568
2716.738621.324927.109334.389943.5353
2818.579923.883930.633539.204550.0656
2920.623726.749934.615844.693157.5755
3022.892329.959939.115950.950266.2118
3125.410433.555144.201058.083276.1435
3228.205637.581749.947166.214887.5651
3331.308242.091556.440275.4849100.6998
3434.752147.142563.777486.0528115.8048
3538.574952.799672.068598.1002133.1755
3642.818159.135681.4374111.8342153.1519
3747.528166.231892.0243127.4910176.1246
3852.756274.1797103.9874145.3397202.5433
3958.559383.0812117.5058165.6873232.9248
4065.000993.0510132.7816188.8835267.8635
4172.1510104.2171150.0432215.3272308.0431
4280.0876116.7231169.5488245.4730354.2495
4388.8972130.7299191.5901279.8392407.3870
4498.6759146.4175216.4968319.0167468.4950
45109.5302163.9876244.6414363.6791538.7693
46121.5786183.6661276.4448414.5941619.5847
47134.9522205.7061312.3826472.6373712.5224
48149.7970230.3908352.9923538.8065819.4007
49166.2746258.0377398.8813614.2395942.3108
50184.5648289.0022450.7359700.23301083.6574

Table 7: Interest Rate r = 16%-20%, Number of Periods n = 1-25

Number of Periods16%17%18%19%20%
11.16001.17001.18001.19001.2000
21.34561.36891.39241.41611.4400
31.56091.60161.64301.68521.7280
41.81061.87391.93882.00532.0736
52.10032.19242.28782.38642.4883
62.43642.56522.69962.83982.9860
72.82623.00123.18553.37933.5832
83.27843.51153.75894.02144.2998
93.80304.10844.43554.78545.1598
104.41144.80685.23385.69476.1917
115.11735.62406.17596.77677.4301
125.93606.58017.28768.06428.9161
136.88587.69878.59949.596410.6993
147.98759.007510.147211.419812.8392
159.265510.538711.973713.589515.4070
1610.748012.330314.129016.171518.4884
1712.467714.426516.672219.244122.1861
1814.462516.879019.673322.900526.6233
1916.776519.748423.214427.251631.9480
2019.460823.105627.393032.429438.3376
2122.574527.033632.323838.591046.0051
2226.186431.629338.142145.923355.2061
2330.376237.006245.007654.648766.2474
2435.236443.297353.109065.032079.4968
2540.874250.657862.668677.388195.3962

Table 8: Interest Rate r = 16%-20%, Number of Periods n = 26-50

Number of Periods16%17%18%19%20%
2647.414159.269773.949092.0918114.4755
2755.000469.345587.2598109.5893137.3706
2863.800481.1342102.9666130.4112164.8447
2974.008594.9271121.5005155.1893197.8136
3085.8499111.0647143.3706184.6753237.3763
3199.5859129.9456169.1774219.7636284.8516
32115.5196152.0364199.6293261.5187341.8219
33134.0027177.8826235.5625311.2073410.1863
34155.4432208.1226277.9638370.3366492.2235
35180.3141243.5035327.9973440.7006590.6682
36209.1643284.8991387.0368524.4337708.8019
37242.6306333.3319456.7034624.0761850.5622
38281.4515389.9983538.9100742.65061020.6747
39326.4838456.2980635.9139883.75421224.8096
40378.7212533.8687750.37831051.66751469.7716
41439.3165624.6264885.44641251.48431763.7259
42509.6072730.81291044.82681489.26642116.4711
43591.1443855.05111232.89561772.22702539.7653
44685.72741000.40981454.81682108.95013047.7183
45795.44381170.47941716.68392509.65063657.2620
46922.71481369.46092025.68702986.48424388.7144
471070.34921602.26932390.31063553.91625266.4573
481241.60511874.65502820.56654229.16036319.7487
491440.26192193.34643328.26855032.70087583.6985
501670.70382566.21533927.35695988.91399100.4382

Table 9: Interest Rate r = 21%-25%, Number of Periods n = 1-25

Number of Periods21%22%23%24%25%
11.21001.22001.23001.24001.2500
21.46411.48841.51291.53761.5625
31.77161.81581.86091.90661.9531
42.14362.21532.28892.36422.4414
52.59372.70272.81532.93163.0518
63.13843.29733.46283.63523.8147
73.79754.02274.25934.50774.7684
84.59504.90775.23895.58955.9605
95.55995.98746.44396.93107.4506
106.72757.30467.92598.59449.3132
118.14038.91179.748910.657111.6415
129.849710.872211.991213.214814.5519
1311.918213.264114.749116.386318.1899
1414.421016.182218.141420.319122.7374
1517.449419.742322.314025.195628.4217
1621.113824.085627.446231.242635.5271
1725.547729.384433.758838.740844.4089
1830.912735.849041.523348.038655.5112
1937.404343.735851.073759.567969.3889
2045.259353.357662.820673.864186.7362
2154.763765.096377.269491.5915108.4202
2266.264179.417595.0413113.5735135.5253
2380.179596.8894116.9008140.8312169.4066
2497.0172118.2050143.7880174.6306211.7582
25117.3909144.2101176.8593216.5420264.6978

Table 10: Interest Rate r = 21%-25%, Number of Periods n = 26-50

Number of Periods21%22%23%24%25%
26142.0429175.9364217.5369268.5121330.8722
27171.8719214.6424267.5704332.9550413.5903
28207.9651261.8637329.1115412.8642516.9879
29251.6377319.4737404.8072511.9516646.2349
30304.4816389.7579497.9129634.8199807.7936
31368.4228475.5046612.4328787.17671009.7420
32445.7916580.1156753.2924976.09911262.1774
33539.4078707.7411926.54961210.36291577.7218
34652.6834863.44411139.65601500.85001972.1523
35789.74701053.40181401.77691861.05402465.1903
36955.59381285.15021724.18562307.70703081.4879
371156.26851567.88332120.74832861.55673851.8599
381399.08491912.81762608.52043548.33034814.8249
391692.89272333.63753208.48014399.92956018.5311
402048.40022847.03783946.43055455.91267523.1638
412478.56433473.38614854.10956765.33179403.9548
422999.06284237.53105970.55478389.011311754.9435
433628.86595169.78787343.782310402.374014693.6794
444390.92786307.14119032.852212898.943718367.0992
455313.02267694.712211110.408215994.690222958.8740
466428.75749387.548913665.802119833.415828698.5925
477778.796411452.809616808.936524593.435635873.2407
489412.343713972.427720674.991930495.860244841.5509
4911388.935817046.361825430.240137814.866656051.9386
5013780.612320796.561531279.195346890.434670064.9232

FVIF Table Use Case

Consider a practical scenario where you invest $1,000 with an annual interest rate of 5% over 5 years. To ascertain the total amount accumulated after these 5 years, we must first determine the Future Value Interest Factor (FVIF).

This factor is calculated using the formula: FVIF = (1 + 5%)^5, which approximately equals 1.2763. Alternatively, this same result can be conveniently obtained by referring to an FVIF table, selecting the values corresponding to an interest rate (r) of 5% and a period (n) of 5 years, which will also indicate a factor of 1.2763.

To calculate the future value of your investment after 5 years, multiply your initial investment amount ($1,000) by the computed FVIF. Consequently, the future value of your funds at the end of this period would be $1,276.30. This method provides a clear and precise way to understand the growth of your investment over time.

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