Factor table

Sinking fund factor table

Name: Sinking fund factor table
Creator: Jude Wallis
License: https://creativecommons.org/licenses/by/4.0/

By Jude WallisPublished August 18, 2026

A sinking fund factor is the deposit that accumulates to 1 over n periods. At 8 percent for 5 periods the factor is 0.170456, so a 10,000 target needs 1704.56 a period.

The formula

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

Multiply a target future amount by the factor to get the deposit each period.

Sinking fund factor, n down the side and interest rates across the top.
n	1%	2%	3%	4%	5%	6%	7%	8%	9%	10%	11%	12%	13%	14%	15%	16%	18%	20%
1	1.000000	1.000000	1.000000	1.000000	1.000000	1.000000	1.000000	1.000000	1.000000	1.000000	1.000000	1.000000	1.000000	1.000000	1.000000	1.000000	1.000000	1.000000
2	0.497512	0.495050	0.492611	0.490196	0.487805	0.485437	0.483092	0.480769	0.478469	0.476190	0.473934	0.471698	0.469484	0.467290	0.465116	0.462963	0.458716	0.454545
3	0.330022	0.326755	0.323530	0.320349	0.317209	0.314110	0.311052	0.308034	0.305055	0.302115	0.299213	0.296349	0.293522	0.290731	0.287977	0.285258	0.279924	0.274725
4	0.246281	0.242624	0.239027	0.235490	0.232012	0.228591	0.225228	0.221921	0.218669	0.215471	0.212326	0.209234	0.206194	0.203205	0.200265	0.197375	0.191739	0.186289
5	0.196040	0.192158	0.188355	0.184627	0.180975	0.177396	0.173891	0.170456	0.167092	0.163797	0.160570	0.157410	0.154315	0.151284	0.148316	0.145409	0.139778	0.134380
6	0.162548	0.158526	0.154598	0.150762	0.147017	0.143363	0.139796	0.136315	0.132920	0.129607	0.126377	0.123226	0.120153	0.117157	0.114237	0.111390	0.105910	0.100706
7	0.138628	0.134512	0.130506	0.126610	0.122820	0.119135	0.115553	0.112072	0.108691	0.105405	0.102215	0.099118	0.096111	0.093192	0.090360	0.087613	0.082362	0.077424
8	0.120690	0.116510	0.112456	0.108528	0.104722	0.101036	0.097468	0.094015	0.090674	0.087444	0.084321	0.081303	0.078387	0.075570	0.072850	0.070224	0.065244	0.060609
9	0.106740	0.102515	0.098434	0.094493	0.090690	0.087022	0.083486	0.080080	0.076799	0.073641	0.070602	0.067679	0.064869	0.062168	0.059574	0.057082	0.052395	0.048079
10	0.095582	0.091327	0.087231	0.083291	0.079505	0.075868	0.072378	0.069029	0.065820	0.062745	0.059801	0.056984	0.054290	0.051714	0.049252	0.046901	0.042515	0.038523
11	0.086454	0.082178	0.078077	0.074149	0.070389	0.066793	0.063357	0.060076	0.056947	0.053963	0.051121	0.048415	0.045841	0.043394	0.041069	0.038861	0.034776	0.031104
12	0.078849	0.074560	0.070462	0.066552	0.062825	0.059277	0.055902	0.052695	0.049651	0.046763	0.044027	0.041437	0.038986	0.036669	0.034481	0.032415	0.028628	0.025265
13	0.072415	0.068118	0.064030	0.060144	0.056456	0.052960	0.049651	0.046522	0.043567	0.040779	0.038151	0.035677	0.033350	0.031164	0.029110	0.027184	0.023686	0.020620
14	0.066901	0.062602	0.058526	0.054669	0.051024	0.047585	0.044345	0.041297	0.038433	0.035746	0.033228	0.030871	0.028667	0.026609	0.024688	0.022898	0.019678	0.016893
15	0.062124	0.057825	0.053767	0.049941	0.046342	0.042963	0.039795	0.036830	0.034059	0.031474	0.029065	0.026824	0.024742	0.022809	0.021017	0.019358	0.016403	0.013882
16	0.057945	0.053650	0.049611	0.045820	0.042270	0.038952	0.035858	0.032977	0.030300	0.027817	0.025517	0.023390	0.021426	0.019615	0.017948	0.016414	0.013710	0.011436
17	0.054258	0.049970	0.045953	0.042199	0.038699	0.035445	0.032425	0.029629	0.027046	0.024664	0.022471	0.020457	0.018608	0.016915	0.015367	0.013952	0.011485	0.009440
18	0.050982	0.046702	0.042709	0.038993	0.035546	0.032357	0.029413	0.026702	0.024212	0.021930	0.019843	0.017937	0.016201	0.014621	0.013186	0.011885	0.009639	0.007805
19	0.048052	0.043782	0.039814	0.036139	0.032745	0.029621	0.026753	0.024128	0.021730	0.019547	0.017563	0.015763	0.014134	0.012663	0.011336	0.010142	0.008103	0.006462
20	0.045415	0.041157	0.037216	0.033582	0.030243	0.027185	0.024393	0.021852	0.019546	0.017460	0.015576	0.013879	0.012354	0.010986	0.009761	0.008667	0.006820	0.005357
21	0.043031	0.038785	0.034872	0.031280	0.027996	0.025005	0.022289	0.019832	0.017617	0.015624	0.013838	0.012240	0.010814	0.009545	0.008417	0.007416	0.005746	0.004444
22	0.040864	0.036631	0.032747	0.029199	0.025971	0.023046	0.020406	0.018032	0.015905	0.014005	0.012313	0.010811	0.009479	0.008303	0.007266	0.006353	0.004846	0.003690
23	0.038886	0.034668	0.030814	0.027309	0.024137	0.021278	0.018714	0.016422	0.014382	0.012572	0.010971	0.009560	0.008319	0.007231	0.006278	0.005447	0.004090	0.003065
24	0.037073	0.032871	0.029047	0.025587	0.022471	0.019679	0.017189	0.014978	0.013023	0.011300	0.009787	0.008463	0.007308	0.006303	0.005430	0.004673	0.003454	0.002548
25	0.035407	0.031220	0.027428	0.024012	0.020952	0.018227	0.015811	0.013679	0.011806	0.010168	0.008740	0.007500	0.006426	0.005498	0.004699	0.004013	0.002919	0.002119
26	0.033869	0.029699	0.025938	0.022567	0.019564	0.016904	0.014561	0.012507	0.010715	0.009159	0.007813	0.006652	0.005655	0.004800	0.004070	0.003447	0.002467	0.001762
27	0.032446	0.028293	0.024564	0.021239	0.018292	0.015697	0.013426	0.011448	0.009735	0.008258	0.006989	0.005904	0.004979	0.004193	0.003526	0.002963	0.002087	0.001467
28	0.031124	0.026990	0.023293	0.020013	0.017123	0.014593	0.012392	0.010489	0.008852	0.007451	0.006257	0.005244	0.004387	0.003664	0.003057	0.002548	0.001765	0.001221
29	0.029895	0.025778	0.022115	0.018880	0.016046	0.013580	0.011449	0.009619	0.008056	0.006728	0.005605	0.004660	0.003867	0.003204	0.002651	0.002192	0.001494	0.001016
30	0.028748	0.024650	0.021019	0.017830	0.015051	0.012649	0.010586	0.008827	0.007336	0.006079	0.005025	0.004144	0.003411	0.002803	0.002300	0.001886	0.001264	0.000846
35	0.024004	0.020002	0.016539	0.013577	0.011072	0.008974	0.007234	0.005803	0.004636	0.003690	0.002927	0.002317	0.001829	0.001442	0.001135	0.000892	0.000550	0.000339
40	0.020456	0.016556	0.013262	0.010523	0.008278	0.006462	0.005009	0.003860	0.002960	0.002259	0.001719	0.001304	0.000986	0.000745	0.000562	0.000424	0.000240	0.000136
45	0.017705	0.013910	0.010785	0.008262	0.006262	0.004700	0.003500	0.002587	0.001902	0.001391	0.001014	0.000736	0.000534	0.000386	0.000279	0.000201	0.000105	0.000055
50	0.015513	0.011823	0.008865	0.006550	0.004777	0.003444	0.002460	0.001743	0.001227	0.000859	0.000599	0.000417	0.000289	0.000200	0.000139	0.000096	0.000046	0.000022

Worked example

What periodic deposit accumulates to 10,000 in 5 years at 8 percent?

Read down the 8 percent column to row 5, giving 0.170456.
Multiply the target by the factor: 10000 x 0.170456.

1704.56 a period.

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.