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Future Value of Annuity Calculator

See what a series of regular payments grows into over time. Choose ordinary or annuity-due timing, then enter your payment, rate, term and frequency to project the future value.

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The Concept

What is the future value of an annuity?

An annuity is simply a series of equal payments made at regular intervals — a monthly deposit into an investment account, an annual pension contribution, or any fixed, repeating payment. Its future value is what that whole stream of payments grows into once each one has earned compound interest up to the end of the term. Early payments compound the longest and do the most work, which is why the total ends up far larger than the sum of the payments themselves.

This calculator is built for the payment stream itself, with no opening lump sum, so you can see exactly what your contributions alone produce. If you also want to start from an existing balance, the future value calculator adds a lump sum on top of the payments, and the future value with monthly contributions guide explains the mechanics.

The Two Types

Ordinary annuity vs annuity due

Annuities come in two timings, and this calculator handles both with the toggle at the top:

  • Ordinary annuity — each payment lands at the end of the period. This is the default and the most common case for things like loan-style contributions.
  • Annuity due — each payment lands at the beginning of the period, so every payment compounds for one extra period and the total is slightly higher.

The difference is real but small. The same $500 a month over 20 years at 7 percent reaches about $260,463 as an ordinary annuity and about $261,983 as an annuity due — roughly $1,500 more for paying at the start of each month rather than the end. Ordinary timing is the default here, since it is the standard convention for most recurring-contribution plans.

How To

How to use this calculator

Set the timing, then fill in four inputs:

  • Payment timing — ordinary (end of period) or annuity due (beginning of period).
  • Payment amount — the fixed sum you contribute each period.
  • Annual interest rate — the yearly rate of return you expect.
  • Number of years — how long you keep contributing.
  • Payment frequency — monthly, quarterly or annually. Payments compound at the same frequency.

The result splits the future value into what you paid in and the interest earned on top, and the year-by-year breakdown shows the balance building period after period.

The Formula

The future value of an annuity formula

For an ordinary annuity, the future value is:

FV = PMT × [ ((1 + i)n − 1) ÷ i ]

where PMT is the payment per period, i is the periodic interest rate (the annual rate divided by the number of periods per year), and n is the total number of payments. For an annuity due, every payment is invested one period earlier, so you multiply the whole thing by one more period of growth:

FVdue = FVordinary × (1 + i)

The bracketed term is the annuity factor — it bundles every payment's individual growth into a single multiplier. The future value formula guide covers the single-sum version this builds on.

Example

Example: $500 a month

Here is how $500 a month grows as an ordinary annuity at 7 percent, compounded monthly, over different terms. Notice how the interest portion overtakes the payments as the term lengthens.

TermFuture valuePaid inInterest earned
10 years$86,542$60,000$26,542
20 years$260,463$120,000$140,463
30 years$609,985$180,000$429,985

Over 30 years, the $180,000 you pay in turns into about $609,985 — more than two-thirds of the final balance is interest. Switching the same 20-year plan to annuity-due timing lifts the result from $260,463 to about $261,983.

Frequency

How payment frequency affects the result

Contributing the same amount per year but more often gives each dollar more time invested. Here is $6,000 a year over 20 years at 7 percent, paid at three different frequencies as an ordinary annuity:

FrequencyPaymentFuture value
Annually$6,000 / year$245,973
Quarterly$1,500 / quarter$257,691
Monthly$500 / month$260,463

Same money in, but monthly payments finish about $14,000 ahead of annual ones — purely from starting to compound sooner each year.

Assumptions

Assumptions behind the numbers

  • Equal, on-time payments. Every payment is the same size and made on schedule for the full term.
  • A constant rate. The same rate applies every period; real returns vary, so treat the result as an estimate.
  • Payments only. There is no opening lump sum — for that, use the future value calculator.
  • Nominal figures. Results are not adjusted for inflation or tax.
  • Compounding matches frequency. Interest compounds once per payment period.
FAQ

Frequently Asked Questions

The future value of an annuity is what a series of equal, regular payments grows into after earning interest over time. Paying $500 a month for 20 years at 7 percent, compounded monthly, builds to about $260,463 — of which $120,000 is your own payments and the rest is growth. The calculator works it out from your payment, rate, term, frequency and payment timing.
An ordinary annuity makes each payment at the end of the period; an annuity due makes it at the beginning. Because annuity-due payments sit invested one extra period, they grow slightly more. The same $500 a month over 20 years at 7 percent reaches about $260,463 as an ordinary annuity and about $261,983 as an annuity due.
For an ordinary annuity it is FV = PMT × [((1 + i) to the power of n, minus 1) ÷ i], where PMT is the payment, i is the periodic interest rate, and n is the number of payments. For an annuity due you multiply the result by (1 + i), because every payment compounds for one extra period.
At 7 percent compounded monthly, $500 a month as an ordinary annuity grows to about $86,542 in 10 years, $260,463 in 20 years, and $609,985 in 30 years. The longer the term, the larger the share of the total that comes from interest rather than from your own payments.
Yes. Paying more often means money is invested sooner and compounds more. Contributing $6,000 a year over 20 years at 7 percent reaches about $245,973 paid once a year, but about $260,463 paid as $500 a month, because the monthly payments start working for you earlier.
The underlying idea is the same — equal recurring deposits growing with compound interest. This page frames it as an annuity and adds a payment-timing choice. If you also want to start from an opening lump sum, the future value calculator layers regular payments on top of a starting balance.