Future Value Interest Factor of Annuity (FVIFA) Table

December 2, 2023

Understanding the Future Value Interest Factor of an Annuity (FVIFA) is crucial when you’re looking at the long-term growth of regular investments. Let’s delve into what this concept entails.

Imagine you are setting aside a fixed amount regularly—monthly or annually—into an annuity. The future value of this annuity is the total sum you will accumulate over a specified period. This calculation is not just a straightforward addition of your deposits; it accounts for the compound interest each payment accrues over time.

To simplify calculating your annuity’s future value, you can use the FVIFA. This factor is a tool that incorporates both the interest rate and the number of payment periods into one number. With it, you can quickly determine the future value of your annuity by simply multiplying your regular payment amount by this factor.

The formula for the FVIFA is expressed as:

FVIFA = ((1 + r)^n – 1) / r

Here, ‘r’ represents the interest rate per period, and ‘n’ is the total number of payment periods you consider.

Here is the complete FVIFA Table:

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

Number of Periods	1%	2%	3%	4%	5%
1	1.0000	1.0000	1.0000	1.0000	1.0000
2	2.0100	2.0200	2.0300	2.0400	2.0500
3	3.0301	3.0604	3.0909	3.1216	3.1525
4	4.0604	4.1216	4.1836	4.2465	4.3101
5	5.1010	5.2040	5.3091	5.4163	5.5256
6	6.1520	6.3081	6.4684	6.6330	6.8019
7	7.2135	7.4343	7.6625	7.8983	8.1420
8	8.2857	8.5830	8.8923	9.2142	9.5491
9	9.3685	9.7546	10.1591	10.5828	11.0266
10	10.4622	10.9497	11.4639	12.0061	12.5779
11	11.5668	12.1687	12.8078	13.4864	14.2068
12	12.6825	13.4121	14.1920	15.0258	15.9171
13	13.8093	14.6803	15.6178	16.6268	17.7130
14	14.9474	15.9739	17.0863	18.2919	19.5986
15	16.0969	17.2934	18.5989	20.0236	21.5786
16	17.2579	18.6393	20.1569	21.8245	23.6575
17	18.4304	20.0121	21.7616	23.6975	25.8404
18	19.6147	21.4123	23.4144	25.6454	28.1324
19	20.8109	22.8406	25.1169	27.6712	30.5390
20	22.0190	24.2974	26.8704	29.7781	33.0660
21	23.2392	25.7833	28.6765	31.9692	35.7193
22	24.4716	27.2990	30.5368	34.2480	38.5052
23	25.7163	28.8450	32.4529	36.6179	41.4305
24	26.9735	30.4219	34.4265	39.0826	44.5020
25	28.2432	32.0303	36.4593	41.6459	47.7271

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

Number of Periods	1%	2%	3%	4%	5%
26	29.5256	33.6709	38.5530	44.3117	51.1135
27	30.8209	35.3443	40.7096	47.0842	54.6691
28	32.1291	37.0512	42.9309	49.9676	58.4026
29	33.4504	38.7922	45.2189	52.9663	62.3227
30	34.7849	40.5681	47.5754	56.0849	66.4388
31	36.1327	42.3794	50.0027	59.3283	70.7608
32	37.4941	44.2270	52.5028	62.7015	75.2988
33	38.8690	46.1116	55.0778	66.2095	80.0638
34	40.2577	48.0338	57.7302	69.8579	85.0670
35	41.6603	49.9945	60.4621	73.6522	90.3203
36	43.0769	51.9944	63.2759	77.5983	95.8363
37	44.5076	54.0343	66.1742	81.7022	101.6281
38	45.9527	56.1149	69.1594	85.9703	107.7095
39	47.4123	58.2372	72.2342	90.4091	114.0950
40	48.8864	60.4020	75.4013	95.0255	120.7998
41	50.3752	62.6100	78.6633	99.8265	127.8398
42	51.8790	64.8622	82.0232	104.8196	135.2318
43	53.3978	67.1595	85.4839	110.0124	142.9933
44	54.9318	69.5027	89.0484	115.4129	151.1430
45	56.4811	71.8927	92.7199	121.0294	159.7002
46	58.0459	74.3306	96.5015	126.8706	168.6852
47	59.6263	76.8172	100.3965	132.9454	178.1194
48	61.2226	79.3535	104.4084	139.2632	188.0254
49	62.8348	81.9406	108.5406	145.8337	198.4267
50	64.4632	84.5794	112.7969	152.6671	209.3480

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

Number of Periods	6%	7%	8%	9%	10%
1	1.0000	1.0000	1.0000	1.0000	1.0000
2	2.0600	2.0700	2.0800	2.0900	2.1000
3	3.1836	3.2149	3.2464	3.2781	3.3100
4	4.3746	4.4399	4.5061	4.5731	4.6410
5	5.6371	5.7507	5.8666	5.9847	6.1051
6	6.9753	7.1533	7.3359	7.5233	7.7156
7	8.3938	8.6540	8.9228	9.2004	9.4872
8	9.8975	10.2598	10.6366	11.0285	11.4359
9	11.4913	11.9780	12.4876	13.0210	13.5795
10	13.1808	13.8164	14.4866	15.1929	15.9374
11	14.9716	15.7836	16.6455	17.5603	18.5312
12	16.8699	17.8885	18.9771	20.1407	21.3843
13	18.8821	20.1406	21.4953	22.9534	24.5227
14	21.0151	22.5505	24.2149	26.0192	27.9750
15	23.2760	25.1290	27.1521	29.3609	31.7725
16	25.6725	27.8881	30.3243	33.0034	35.9497
17	28.2129	30.8402	33.7502	36.9737	40.5447
18	30.9057	33.9990	37.4502	41.3013	45.5992
19	33.7600	37.3790	41.4463	46.0185	51.1591
20	36.7856	40.9955	45.7620	51.1601	57.2750
21	39.9927	44.8652	50.4229	56.7645	64.0025
22	43.3923	49.0057	55.4568	62.8733	71.4027
23	46.9958	53.4361	60.8933	69.5319	79.5430
24	50.8156	58.1767	66.7648	76.7898	88.4973
25	54.8645	63.2490	73.1059	84.7009	98.3471

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

Number of Periods	6%	7%	8%	9%	10%
26	59.1564	68.6765	79.9544	93.3240	109.1818
27	63.7058	74.4838	87.3508	102.7231	121.0999
28	68.5281	80.6977	95.3388	112.9682	134.2099
29	73.6398	87.3465	103.9659	124.1354	148.6309
30	79.0582	94.4608	113.2832	136.3075	164.4940
31	84.8017	102.0730	123.3459	149.5752	181.9434
32	90.8898	110.2182	134.2135	164.0370	201.1378
33	97.3432	118.9334	145.9506	179.8003	222.2515
34	104.1838	128.2588	158.6267	196.9823	245.4767
35	111.4348	138.2369	172.3168	215.7108	271.0244
36	119.1209	148.9135	187.1021	236.1247	299.1268
37	127.2681	160.3374	203.0703	258.3759	330.0395
38	135.9042	172.5610	220.3159	282.6298	364.0434
39	145.0585	185.6403	238.9412	309.0665	401.4478
40	154.7620	199.6351	259.0565	337.8824	442.5926
41	165.0477	214.6096	280.7810	369.2919	487.8518
42	175.9505	230.6322	304.2435	403.5281	537.6370
43	187.5076	247.7765	329.5830	440.8457	592.4007
44	199.7580	266.1209	356.9496	481.5218	652.6408
45	212.7435	285.7493	386.5056	525.8587	718.9048
46	226.5081	306.7518	418.4261	574.1860	791.7953
47	241.0986	329.2244	452.9002	626.8628	871.9749
48	256.5645	353.2701	490.1322	684.2804	960.1723
49	272.9584	378.9990	530.3427	746.8656	1057.1896
50	290.3359	406.5289	573.7702	815.0836	1163.9085

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

Number of Periods	11%	12%	13%	14%	15%
1	1.0000	1.0000	1.0000	1.0000	1.0000
2	2.1100	2.1200	2.1300	2.1400	2.1500
3	3.3421	3.3744	3.4069	3.4396	3.4725
4	4.7097	4.7793	4.8498	4.9211	4.9934
5	6.2278	6.3528	6.4803	6.6101	6.7424
6	7.9129	8.1152	8.3227	8.5355	8.7537
7	9.7833	10.0890	10.4047	10.7305	11.0668
8	11.8594	12.2997	12.7573	13.2328	13.7268
9	14.1640	14.7757	15.4157	16.0853	16.7858
10	16.7220	17.5487	18.4197	19.3373	20.3037
11	19.5614	20.6546	21.8143	23.0445	24.3493
12	22.7132	24.1331	25.6502	27.2707	29.0017
13	26.2116	28.0291	29.9847	32.0887	34.3519
14	30.0949	32.3926	34.8827	37.5811	40.5047
15	34.4054	37.2797	40.4175	43.8424	47.5804
16	39.1899	42.7533	46.6717	50.9804	55.7175
17	44.5008	48.8837	53.7391	59.1176	65.0751
18	50.3959	55.7497	61.7251	68.3941	75.8364
19	56.9395	63.4397	70.7494	78.9692	88.2118
20	64.2028	72.0524	80.9468	91.0249	102.4436
21	72.2651	81.6987	92.4699	104.7684	118.8101
22	81.2143	92.5026	105.4910	120.4360	137.6316
23	91.1479	104.6029	120.2048	138.2970	159.2764
24	102.1742	118.1552	136.8315	158.6586	184.1678
25	114.4133	133.3339	155.6196	181.8708	212.7930

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

Number of Periods	11%	12%	13%	14%	15%
26	127.9988	150.3339	176.8501	208.3327	245.7120
27	143.0786	169.3740	200.8406	238.4993	283.5688
28	159.8173	190.6989	227.9499	272.8892	327.1041
29	178.3972	214.5828	258.5834	312.0937	377.1697
30	199.0209	241.3327	293.1992	356.7868	434.7451
31	221.9132	271.2926	332.3151	407.7370	500.9569
32	247.3236	304.8477	376.5161	465.8202	577.1005
33	275.5292	342.4294	426.4632	532.0350	664.6655
34	306.8374	384.5210	482.9034	607.5199	765.3654
35	341.5896	431.6635	546.6808	693.5727	881.1702
36	380.1644	484.4631	618.7493	791.6729	1014.3457
37	422.9825	543.5987	700.1867	903.5071	1167.4975
38	470.5106	609.8305	792.2110	1030.9981	1343.6222
39	523.2667	684.0102	896.1984	1176.3378	1546.1655
40	581.8261	767.0914	1013.7042	1342.0251	1779.0903
41	646.8269	860.1424	1146.4858	1530.9086	2046.9539
42	718.9779	964.3595	1296.5289	1746.2358	2354.9969
43	799.0655	1081.0826	1466.0777	1991.7088	2709.2465
44	887.9627	1211.8125	1657.6678	2271.5481	3116.6334
45	986.6386	1358.2300	1874.1646	2590.5648	3585.1285
46	1096.1688	1522.2176	2118.8060	2954.2439	4123.8977
47	1217.7474	1705.8838	2395.2508	3368.8380	4743.4824
48	1352.6996	1911.5898	2707.6334	3841.4753	5456.0047
49	1502.4965	2141.9806	3060.6258	4380.2819	6275.4055
50	1668.7712	2400.0182	3459.5071	4994.5213	7217.7163

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

Number of Periods	16%	17%	18%	19%	20%
1	1.0000	1.0000	1.0000	1.0000	1.0000
2	2.1600	2.1700	2.1800	2.1900	2.2000
3	3.5056	3.5389	3.5724	3.6061	3.6400
4	5.0665	5.1405	5.2154	5.2913	5.3680
5	6.8771	7.0144	7.1542	7.2966	7.4416
6	8.9775	9.2068	9.4420	9.6830	9.9299
7	11.4139	11.7720	12.1415	12.5227	12.9159
8	14.2401	14.7733	15.3270	15.9020	16.4991
9	17.5185	18.2847	19.0859	19.9234	20.7989
10	21.3215	22.3931	23.5213	24.7089	25.9587
11	25.7329	27.1999	28.7551	30.4035	32.1504
12	30.8502	32.8239	34.9311	37.1802	39.5805
13	36.7862	39.4040	42.2187	45.2445	48.4966
14	43.6720	47.1027	50.8180	54.8409	59.1959
15	51.6595	56.1101	60.9653	66.2607	72.0351
16	60.9250	66.6488	72.9390	79.8502	87.4421
17	71.6730	78.9792	87.0680	96.0218	105.9306
18	84.1407	93.4056	103.7403	115.2659	128.1167
19	98.6032	110.2846	123.4135	138.1664	154.7400
20	115.3797	130.0329	146.6280	165.4180	186.6880
21	134.8405	153.1385	174.0210	197.8474	225.0256
22	157.4150	180.1721	206.3448	236.4385	271.0307
23	183.6014	211.8013	244.4868	282.3618	326.2369
24	213.9776	248.8076	289.4945	337.0105	392.4842
25	249.2140	292.1049	342.6035	402.0425	471.9811

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

Number of Periods	16%	17%	18%	19%	20%
26	290.0883	342.7627	405.2721	479.4306	567.3773
27	337.5024	402.0323	479.2211	571.5224	681.8528
28	392.5028	471.3778	566.4809	681.1116	819.2233
29	456.3032	552.5121	669.4475	811.5228	984.0680
30	530.3117	647.4391	790.9480	966.7122	1181.8816
31	616.1616	758.5038	934.3186	1151.3875	1419.2579
32	715.7475	888.4494	1103.4960	1371.1511	1704.1095
33	831.2671	1040.4858	1303.1253	1632.6698	2045.9314
34	965.2698	1218.3684	1538.6878	1943.8771	2456.1176
35	1120.7130	1426.4910	1816.6516	2314.2137	2948.3411
36	1301.0270	1669.9945	2144.6489	2754.9143	3539.0094
37	1510.1914	1954.8936	2531.6857	3279.3481	4247.8112
38	1752.8220	2288.2255	2988.3891	3903.4242	5098.3735
39	2034.2735	2678.2238	3527.2992	4646.0748	6119.0482
40	2360.7572	3134.5218	4163.2130	5529.8290	7343.8578
41	2739.4784	3668.3906	4913.5914	6581.4965	8813.6294
42	3178.7949	4293.0169	5799.0378	7832.9808	10577.3553
43	3688.4021	5023.8298	6843.8646	9322.2472	12693.8263
44	4279.5465	5878.8809	8076.7603	11094.4741	15233.5916
45	4965.2739	6879.2907	9531.5771	13203.4242	18281.3099
46	5760.7177	8049.7701	11248.2610	15713.0748	21938.5719
47	6683.4326	9419.2310	13273.9480	18699.5590	26327.2863
48	7753.7818	11021.5002	15664.2586	22253.4753	31593.7436
49	8995.3869	12896.1553	18484.8251	26482.6356	37913.4923
50	10435.6488	15089.5017	21813.0937	31515.3363	45497.1908

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

Number of Periods	21%	22%	23%	24%	25%
1	1.0000	1.0000	1.0000	1.0000	1.0000
2	2.2100	2.2200	2.2300	2.2400	2.2500
3	3.6741	3.7084	3.7429	3.7776	3.8125
4	5.4457	5.5242	5.6038	5.6842	5.7656
5	7.5892	7.7396	7.8926	8.0484	8.2070
6	10.1830	10.4423	10.7079	10.9801	11.2588
7	13.3214	13.7396	14.1708	14.6153	15.0735
8	17.1189	17.7623	18.4300	19.1229	19.8419
9	21.7139	22.6700	23.6690	24.7125	25.8023
10	27.2738	28.6574	30.1128	31.6434	33.2529
11	34.0013	35.9620	38.0388	40.2379	42.5661
12	42.1416	44.8737	47.7877	50.8950	54.2077
13	51.9913	55.7459	59.7788	64.1097	68.7596
14	63.9095	69.0100	74.5280	80.4961	86.9495
15	78.3305	85.1922	92.6694	100.8151	109.6868
16	95.7799	104.9345	114.9834	126.0108	138.1085
17	116.8937	129.0201	142.4295	157.2534	173.6357
18	142.4413	158.4045	176.1883	195.9942	218.0446
19	173.3540	194.2535	217.7116	244.0328	273.5558
20	210.7584	237.9893	268.7853	303.6006	342.9447
21	256.0176	291.3469	331.6059	377.4648	429.6809
22	310.7813	356.4432	408.8753	469.0563	538.1011
23	377.0454	435.8607	503.9166	582.6298	673.6264
24	457.2249	532.7501	620.8174	723.4610	843.0329
25	554.2422	650.9551	764.6054	898.0916	1054.7912

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

Number of Periods	21%	22%	23%	24%	25%
26	671.6330	795.1653	941.4647	1114.6336	1319.4890
27	813.6759	971.1016	1159.0016	1383.1457	1650.3612
28	985.5479	1185.7440	1426.5719	1716.1007	2063.9515
29	1193.5129	1447.6077	1755.6835	2128.9648	2580.9394
30	1445.1507	1767.0813	2160.4907	2640.9164	3227.1743
31	1749.6323	2156.8392	2658.4036	3275.7363	4034.9678
32	2118.0551	2632.3439	3270.8364	4062.9130	5044.7098
33	2563.8467	3212.4595	4024.1287	5039.0122	6306.8872
34	3103.2545	3920.2006	4950.6783	6249.3751	7884.6091
35	3755.9379	4783.6447	6090.3344	7750.2251	9856.7613
36	4545.6848	5837.0466	7492.1113	9611.2791	12321.9516
37	5501.2787	7122.1968	9216.2969	11918.9861	15403.4396
38	6657.5472	8690.0801	11337.0451	14780.5428	19255.2994
39	8056.6321	10602.8978	13945.5655	18328.8731	24070.1243
40	9749.5248	12936.5353	17154.0456	22728.8026	30088.6554
41	11797.9250	15783.5730	21100.4761	28184.7152	37611.8192
42	14276.4893	19256.9591	25954.5856	34950.0469	47015.7740
43	17275.5521	23494.4901	31925.1403	43339.0581	58770.7175
44	20904.4180	28664.2779	39268.9225	53741.4321	73464.3969
45	25295.3458	34971.4191	48301.7747	66640.3758	91831.4962
46	30608.3684	42666.1312	59412.1829	82635.0660	114790.3702
47	37037.1257	52053.6801	73077.9850	102468.4818	143488.9627
48	44815.9221	63506.4897	89886.9215	127061.9174	179362.2034
49	54228.2658	77478.9175	110561.9135	157557.7776	224203.7543
50	65617.2016	94525.2793	135992.1536	195372.6442	280255.6929

FVIFA Table Use Case

Let’s explore an example to illustrate how you can apply the Future Value Interest Factor of an Annuity (FVIFA) in a practical scenario. Suppose you decide to deposit $1,000 annually into an annuity. The interest rate is 5%, and you plan to continue these deposits for 10 years.

To calculate the future value of this annuity, you first refer to the FVIFA Table. In this case, with an interest rate of 5% over 10 years, the FVIFA, as found in the table, is 12.578.

Now, to find the future value of your annuity after 10 years, you simply multiply your annual deposit amount by the FVIFA. Therefore, $1,000 multiplied by 12.578 equals $12,578.

This example is a practical demonstration of how the FVIFA can be a valuable tool for you. It enables quick and efficient calculation of an annuity’s future value, helping you understand the potential growth of your investment over a set period.