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Annuity future value table

An annuity future value factor is what 1 unit paid at the end of each of n periods grows to by the end. At 8 percent for 5 periods it is 5.8666, so 1,000 a year for 5 years reaches 5,866.60.

The formula

FVIFA=(1+r)n1rFVIFA = \frac{(1 + r)^{n} - 1}{r}

Multiply a level payment by the factor to get what the stream is worth at the end.

Future value of an annuity of 1, periods down the side and interest rates across the top.
n1%2%3%4%5%6%7%8%9%10%11%12%13%14%15%16%18%20%
11.00001.00001.00001.00001.00001.00001.00001.00001.00001.00001.00001.00001.00001.00001.00001.00001.00001.0000
22.01002.02002.03002.04002.05002.06002.07002.08002.09002.10002.11002.12002.13002.14002.15002.16002.18002.2000
33.03013.06043.09093.12163.15253.18363.21493.24643.27813.31003.34213.37443.40693.43963.47253.50563.57243.6400
44.06044.12164.18364.24654.31014.37464.43994.50614.57314.64104.70974.77934.84984.92114.99345.06655.21545.3680
55.10105.20405.30915.41635.52565.63715.75075.86665.98476.10516.22786.35286.48036.61016.74246.87717.15427.4416
66.15206.30816.46846.63306.80196.97537.15337.33597.52337.71567.91298.11528.32278.53558.75378.97759.44209.9299
77.21357.43437.66257.89838.14208.39388.65408.92289.20049.48729.783310.089010.404710.730511.066811.413912.141512.9159
88.28578.58308.89239.21429.54919.897510.259810.636611.028511.435911.859412.299712.757313.232813.726814.240115.327016.4991
99.36859.754610.159110.582811.026611.491311.978012.487613.021013.579514.164014.775715.415716.085316.785817.518519.085920.7989
1010.462210.949711.463912.006112.577913.180813.816414.486615.192915.937416.722017.548718.419719.337320.303721.321523.521325.9587
1111.566812.168712.807813.486414.206814.971615.783616.645517.560318.531219.561420.654621.814323.044524.349325.732928.755132.1504
1212.682513.412114.192015.025815.917116.869917.888518.977120.140721.384322.713224.133125.650227.270729.001730.850234.931139.5805
1313.809314.680315.617816.626817.713018.882120.140621.495322.953424.522726.211628.029129.984732.088734.351936.786242.218748.4966
1414.947415.973917.086318.291919.598621.015122.550524.214926.019227.975030.094932.392634.882737.581140.504743.672050.818059.1959
1516.096917.293418.598920.023621.578623.276025.129027.152129.360931.772534.405437.279740.417543.842447.580451.659560.965372.0351
1617.257918.639320.156921.824523.657525.672527.888130.324333.003435.949739.189942.753346.671750.980455.717560.925072.939087.4421
1718.430420.012121.761623.697525.840428.212930.840233.750236.973740.544744.500848.883753.739159.117665.075171.673087.0680105.9306
1819.614721.412323.414425.645428.132430.905733.999037.450241.301345.599250.395955.749761.725168.394175.836484.1407103.7403128.1167
1920.810922.840625.116927.671230.539033.760037.379041.446346.018551.159156.939563.439770.749478.969288.211898.6032123.4135154.7400
2022.019024.297426.870429.778133.066036.785640.995545.762051.160157.275064.202872.052480.946891.0249102.4436115.3797146.6280186.6880
2123.239225.783328.676531.969235.719339.992744.865250.422956.764564.002572.265181.698792.4699104.7684118.8101134.8405174.0210225.0256
2224.471627.299030.536834.248038.505243.392349.005755.456862.873371.402781.214392.5026105.4910120.4360137.6316157.4150206.3448271.0307
2325.716328.845032.452936.617941.430546.995853.436160.893369.531979.543091.1479104.6029120.2048138.2970159.2764183.6014244.4868326.2369
2426.973530.421934.426539.082644.502050.815658.176766.764876.789888.4973102.1742118.1552136.8315158.6586184.1678213.9776289.4945392.4842
2528.243232.030336.459341.645947.727154.864563.249073.105984.700998.3471114.4133133.3339155.6196181.8708212.7930249.2140342.6035471.9811
2629.525633.670938.553044.311751.113559.156468.676579.954493.3240109.1818127.9988150.3339176.8501208.3327245.7120290.0883405.2721567.3773
2730.820935.344340.709647.084254.669163.705874.483887.3508102.7231121.0999143.0786169.3740200.8406238.4993283.5688337.5024479.2211681.8528
2832.129137.051242.930949.967658.402668.528180.697795.3388112.9682134.2099159.8173190.6989227.9499272.8892327.1041392.5028566.4809819.2233
2933.450438.792245.218952.966362.322773.639887.3465103.9659124.1354148.6309178.3972214.5828258.5834312.0937377.1697456.3032669.4475984.0680
3034.784940.568147.575456.084966.438879.058294.4608113.2832136.3075164.4940199.0209241.3327293.1992356.7868434.7451530.3117790.94801181.8816
3541.660349.994560.462173.652290.3203111.4348138.2369172.3168215.7108271.0244341.5896431.6635546.6808693.5727881.17021120.71301816.65162948.3411
4048.886460.402075.401395.0255120.7998154.7620199.6351259.0565337.8824442.5926581.8261767.09141013.70421342.02511779.09032360.75724163.21307343.8578
4556.481171.892792.7199121.0294159.7002212.7435285.7493386.5056525.8587718.9048986.63861358.23001874.16462590.56483585.12854965.27399531.577118281.3099
5064.463284.5794112.7969152.6671209.3480290.3359406.5289573.7702815.08361163.90851668.77122400.01823459.50714994.52137217.716310435.648821813.093745497.1908

Worked example

What does 1,000 a year for 5 years grow to at 8 percent?

  1. Read down the 8 percent column to row 5, giving 5.8666.
  2. Multiply: 1000 x 5.8666.

5,866.60 at the end of year 5.

How these figures were checked

Every factor on this page is recomputed before the site can build, by a separate program that works a different way: repeated multiplication instead of a power function, a period-by-period sum instead of a closed-form annuity factor, and a solved loan schedule instead of a payment formula. If the two methods disagree anywhere, the page does not ship. Printed factor tables carry typos because nobody can check three thousand numbers by hand; this one is checked on every build.

Keep reading

This page is educational material, not financial advice. The figures come from the formula shown and assume the inputs you enter hold for the whole term. Your own rate, fees, taxes and timing will differ, so treat the output as arithmetic to check a decision against, not as a recommendation.