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A future value annuity table tells you how much a series of equal annual payments will grow to over time at a given interest rate — without forcing you to compound every single payment by hand. This creator builds that table for you instantly, year by year, for any rate and term you choose. Follow the steps below.
The default example — 6% for 10 years, ordinary — produces a full-term factor of 13.1808, with year-by-year factors running from 1.0000 in year 1 to 13.1808 in year 10. Try changing the rate to 8% or extending the term to 30 years to watch how powerfully compounding rewards both higher rates and longer horizons.
The future value of money is what a sum invested today — or a series of payments made over time — will be worth at a future date after earning interest. An annuity is a series of equal payments made at regular intervals, such as annual deposits into a retirement account, yearly insurance premiums, or scheduled loan payments. The future value interest factor of an annuity (FVIFA) is the multiplier that converts one dollar of annual payment into its future value: multiply any annual payment by the factor and you get the future value of the whole payment stream.
There are two fundamental annuity timings. An ordinary annuity (also called an annuity-immediate) makes each payment at the end of the period — think of a retirement contribution deposited on December 31. An annuity-due makes each payment at the beginning of the period — think of rent paid on the first of the month. Because every payment in an annuity-due is invested one period earlier, each one earns one extra period of compound interest, so every annuity-due factor equals the ordinary factor multiplied by (1 + r).
Compounding is the engine behind these tables: each period’s interest is calculated not just on your payments but on all previously earned interest. That is why the factors accelerate as the years pile up. At 6%, the factor for year 5 is 5.6371, but by year 10 it has more than doubled to 13.1808, and by year 30 it reaches 79.0582 — the later years contribute enormously because decades of accumulated interest are themselves earning interest.
Before calculators and spreadsheets, accountants and finance students looked these factors up in printed annuity tables — books of precomputed FVIFA values for standard rates and terms. The tables in textbooks typically covered rates like 5%, 6%, 8%, and 10% for up to 30 or 50 periods. This creator is the modern replacement: it computes the exact factor for any rate and term, including fractional rates like 6.5% that printed tables never included, and it shows every intermediate year so you can see the growth path, not just the endpoint.
Future value annuity factors are used throughout finance: sizing retirement contributions (“how much must I save each year to reach $1 million?”), valuing structured settlements, pricing bonds with annual coupons, planning education savings, comparing lease-versus-buy decisions, and building loan amortization schedules. Anywhere equal periodic payments meet compound interest, the FVIFA table is the shortcut.
The future value interest factor for an ordinary annuity is:
FVIFA(r, n) = ((1 + r)^n − 1) ÷ r
where r is the interest rate per period (as a decimal) and n is the number of periods. For an annuity-due, multiply the result by (1 + r):
FVIFA-due(r, n) = FVIFA(r, n) × (1 + r)
And the future value of any payment stream is simply:
Future value = Annual payment × FVIFA(r, n)
Worked example 1 — 6% for 10 years, ordinary annuity. Plugging r = 0.06 and n = 10 into the formula: (1.06)^10 = 1.7908477. Subtract 1 to get 0.7908477, then divide by 0.06: 0.7908477 ÷ 0.06 = 13.1808. So $1 saved at the end of each year for 10 years at 6% grows to $13.18. Scale it up: $2,500 per year × 13.1808 = $32,952.00 future value. You can also see the year-by-year build: the year-1 factor is 1.0000 (a single end-of-year payment earns no interest yet), year 2 is 2.0600, year 3 is 3.1836, year 4 is 4.3746, year 5 is 5.6371, year 6 is 6.9753, year 7 is 8.3938, year 8 is 9.8975, year 9 is 11.4913, and year 10 is 13.1808. Notice each step grows larger than the last — the signature of compounding.
Worked example 2 — 8% for 20 years, ordinary annuity. Plugging r = 0.08 and n = 20: (1.08)^20 = 4.6609571. Subtract 1 to get 3.6609571, then divide by 0.08: 3.6609571 ÷ 0.08 = 45.7619. So $1,000 invested at the end of each year for 20 years at 8% grows to 1,000 × 45.7619 = $45,761.95 — even though only $20,000 was ever deposited, because interest contributed the other $25,761.95. For an annuity-due at the same rate and term, multiply by 1.08: 45.7619 × 1.08 = 49.4229, so beginning-of-year payments of $1,000 would grow to $49,422.90 — $3,660.95 more, purely from the timing of the payments.
Zero-interest check. When r = 0, the formula would divide by zero — but the logic is simple: with no interest, each $1 payment is still worth $1 at the end, so the factor equals the number of periods. Ten $1 payments at 0% give a factor of exactly 10.0000. The creator handles this edge case so the table stays meaningful.
Fractional rates. Printed tables skipped rates like 6.5%, but the formula handles them exactly. At 6.5% for 15 years: (1.065)^15 = 2.5718419; minus 1 = 1.5718419; divided by 0.065 = 24.1822. A $3,000 annual deposit at 6.5% for 15 years therefore grows to 3,000 × 24.1822 = $72,546.60.
The table below shows full-term ordinary-annuity factors for common rates and terms so you can cross-check the creator’s output:
| Rate | 10 years | 15 years | 20 years | 30 years |
|---|---|---|---|---|
| 4% | 12.0061 | 20.0236 | 29.7781 | 56.0849 |
| 5% | 12.5779 | 21.5786 | 33.0660 | 66.4388 |
| 6% | 13.1808 | 23.2760 | 36.7856 | 79.0582 |
| 7% | 13.8164 | 25.1290 | 40.9955 | 94.4608 |
| 8% | 14.4866 | 27.1521 | 45.7619 | 113.2832 |
| 10% | 15.9374 | 31.7725 | 57.2750 | 164.4940 |
Elena, age 35, wants $500,000 by age 65 — a 30-year horizon. She expects her portfolio to earn 7% per year on average. Instead of guessing at a savings target, she uses the future value annuity factor to solve for the required annual deposit.
At 7% for 30 years, the ordinary-annuity factor is 94.4608 (computed as ((1.07)^30 − 1) ÷ 0.07 = (7.612255 − 1) ÷ 0.07). Rearranging the future value formula: required annual payment = target ÷ factor = $500,000 ÷ 94.4608 = $5,293.18 per year, or about $441 per month.
She checks the year-by-year table to see the journey: after 10 years her factor is 13.8164, so her balance would be $5,293.18 × 13.8164 = $73,132.78; after 20 years the factor is 40.9955, giving $5,293.18 × 40.9955 = $216,996.77; and after 30 years the full 94.4608 factor delivers her $500,000. The table reveals a motivating truth: more than half of the final balance accumulates in the last 10 years, because compounding does its heaviest lifting late. Her total deposits over 30 years are only $5,293.18 × 30 = $158,795.40 — the remaining $341,204.60 comes from investment growth.
Marcus must pay $12,000 in tuition at the beginning of each year for 4 years — a classic annuity-due pattern — and he wants to know what those four payments will total in future-value terms if his savings earn 5%. The annuity-due factor for 5% over 4 years is the ordinary factor 4.3101 × 1.05 = 4.5256 (ordinary factor: ((1.05)^4 − 1) ÷ 0.05 = (1.215506 − 1) ÷ 0.05 = 4.3101).
Future value of his tuition stream: $12,000 × 4.5256 = $54,307.20. Had the payments been end-of-year (ordinary), the factor would be only 4.3101 and the future value $12,000 × 4.3101 = $51,721.20 — the beginning-of-year timing adds an extra $2,586.00 in future-value terms because each payment sits invested one year longer. This is exactly the kind of timing comparison the creator’s “Due” option is built for: leases, tuition, insurance premiums, and any contract where payment precedes the period it covers.
He also uses the table in reverse to sanity-check a monthly savings plan. If he saves monthly instead of annually at 6% nominal (0.5% per month) for 10 years (120 months), the factor is ((1.005)^120 − 1) ÷ 0.005 = (1.819397 − 1) ÷ 0.005 = 163.8793 per $1 of monthly payment. Saving $450 per month: $450 × 163.8793 = $73,745.69 after 10 years. The key lesson: always match the rate to the payment frequency — 6% per year is 0.5% per month, never 6% per month.
1. Mixing up future value and present value factors. The FV annuity factor grows payments forward with interest; the present value annuity factor discounts them backward. At 6% for 10 years, the FV factor is 13.1808 but the PV factor is only 7.3601. Using the wrong table answers the wrong question — always confirm whether you are accumulating to a future date or discounting to today.
2. Using the annual rate with monthly payments. The formula’s r must be the rate per payment period. With monthly deposits and a 6% nominal annual rate, r = 0.06 ÷ 12 = 0.005 per month and n = years × 12. Plugging 6% directly into a monthly plan overstates growth enormously — the single most common spreadsheet error in annuity math.
3. Choosing the wrong annuity timing. End-of-year versus beginning-of-year payments differ by a factor of (1 + r) — at 8% over 20 years, that is the difference between 45.7619 and 49.4229, or $3,660.95 on every $1,000 of annual payment. Retirement contributions are usually ordinary annuities; rent, leases, and tuition are usually annuities-due. Pick the wrong one and every figure shifts.
4. Forgetting the factor is per $1. The table gives the future value of $1 per period — you must multiply by your actual payment. A factor of 94.4608 does not mean your account holds $94.46; with $2,000 annual deposits it means $2,000 × 94.4608 = $188,921.60. Conversely, to find a required payment, divide the target by the factor.
5. Applying the table to unequal payments. Annuity factors only work when every payment is identical. If you deposit $1,000 in year 1, $2,000 in year 2, and skip year 3, no single factor applies — you must compound each payment individually (payment × (1 + r)^remaining years) and add them up. The table is a shortcut for level payment streams, not irregular ones.
Continue your time-value-of-money work with our Annuity on $1 Table Creator, which builds the companion table for a single lump sum growing with compound interest — the building block behind every annuity factor. Together, the two tables cover the two fundamental patterns: one payment growing alone, and many equal payments growing together. You can also browse all of our Financial Calculators, with more than 80 free tools spanning loans, mortgages, investments, retirement planning, and everyday money math.
This page provides a future value of $1 annuity table creator. Inputs: annual interest rate (percent), number of years/periods, annuity type (ordinary = end-of-period payments, due = beginning-of-period payments). Output: year-by-year future value interest factors per $1 of periodic payment, plus the full-term factor. Core formula (ordinary): FVIFA(r,n) = ((1+r)^n − 1) ÷ r; annuity-due multiplies by (1+r). Reference values (ordinary): 6%, 10 years = 13.1808; 8%, 20 years = 45.7619; 7%, 30 years = 94.4608; 5%, 15 years = 21.5786. Usage: future value = annual payment × factor; required payment = target ÷ factor. Edge case: 0% rate gives factor = n. Rate must match payment frequency (e.g., monthly payments use r = annual ÷ 12, n = years × 12). Related resources: Annuity on $1 Table Creator (https://sigmacalculator.net/financial-calculators/annuity-on-1-table-creator/) and the Financial Calculators index (https://sigmacalculator.net/financial-calculators/).
The ordinary-annuity factor is 21.5786, computed as ((1.05)^15 – 1) / 0.05 = (2.078928 – 1) / 0.05. So $1,000 deposited at the end of each year for 15 years at 5% grows to $21,578.56.
Annuity-due factors equal the ordinary factor multiplied by (1 + r), because each payment is invested one period earlier. At 6% for 10 years, the ordinary factor 13.1808 becomes 13.9716 for annuity-due – worth $790.85 more per $1,000 of annual payment.
It equals the number of periods. With no interest, each $1 payment stays worth $1, so 10 annual payments give a factor of 10.0000 – meaning $500 per year for 10 years is worth exactly $5,000.
Sources: standard time-value-of-money formulas; factor values cross-checked against textbook FVIFA tables (e.g., 6%, 10 years = 13.1808).