$260,463.33
$120,000.00
$140,463.33
240
periods
0.5833
%
$260,463.33
$120,000.00
$140,463.33
240
periods
0.5833
%
The Future Value of Annuity Calculator computes the total accumulated value of a series of equal, periodic payments invested at a fixed interest rate over time. This is the fundamental tool for understanding how regular savings and investments grow through the power of compound interest.
An annuity is any series of equal payments made at regular intervals — monthly retirement contributions, quarterly dividend reinvestments, annual IRA deposits, or bi-weekly savings transfers. The future value of annuity formula shows how these periodic contributions compound over time, which is often far more powerful than a single lump-sum investment. The formula for an ordinary annuity is: FVA = PMT × [((1 + r)n - 1) / r], where PMT is the periodic payment, r is the per-period interest rate, and n is the total number of periods.
There are two types of annuities: an ordinary annuity (payments at the end of each period) and an annuity due (payments at the beginning of each period). The annuity due produces a slightly higher future value because each payment has one extra period to earn interest. The adjustment is simple: FVA(due) = FVA(ordinary) × (1 + r).
The results are often surprising. Contributing just $500 per month at 7% annual return for 20 years yields a future value of approximately $260,464 — even though you only contributed $120,000 in total. The remaining $140,464 is pure interest earned through compounding. Extend the time horizon to 30 years and the future value jumps to about $609,985 on total contributions of $180,000. This dramatic acceleration illustrates why starting early is the single most important factor in building wealth.
This calculator is essential for retirement planning (how much will my 401(k) contributions grow to?), education savings (will my 529 plan contributions cover tuition?), emergency fund building, and any scenario where you make regular deposits into an interest-bearing account.
The future value of an ordinary annuity formula is: FVA = PMT × [((1 + r)n - 1) / r]
For an annuity due, multiply the result by (1 + r) since each payment earns one extra period of interest. The calculator handles both types automatically based on your selection.
The Future Value of Annuity shows the total amount you'll have after all payments and compounded interest. Total Contributions is simply the sum of all payments made (PMT × n). The Total Interest Earned is the difference — the wealth generated purely through compounding. As time increases, the interest component grows exponentially and eventually dominates total contributions.
Inputs
Results
$1,000/month at 8% for 30 years grows to ~$1.49 million, with $1.13 million from interest alone
Inputs
Results
$2,000/quarter at 6% for 18 years grows to ~$256,095
It is the total accumulated value of a series of equal periodic payments, including compound interest earned on each payment. It tells you how much your regular savings will grow to over a specified time period.
An ordinary annuity makes payments at the end of each period (like most loan payments and retirement contributions). An annuity due makes payments at the beginning of each period (like rent or insurance premiums). Annuity due has a slightly higher future value.
At 7% annual return with monthly compounding, $500/month for 20 years grows to approximately $260,464. Your total contributions are $120,000, meaning $140,464 comes from compound interest.
Because compound interest is exponential. Each additional year allows all accumulated interest to earn more interest. Someone who invests from age 25-35 (10 years) often accumulates more than someone who invests from 35-65 (30 years) because those early contributions have decades more to compound.
Yes, this is the primary use case. Enter your monthly/annual contribution amount, expected return rate, and years until retirement to see your projected savings. Combine with an inflation adjustment for a more realistic estimate.
Use the expected average annual return for your investment type: savings accounts 2-5%, bonds 3-6%, balanced funds 6-8%, stock index funds 8-12% (historical S&P 500 average is ~10%). Use lower rates for conservative estimates.
No, this calculator shows pre-tax results. For tax-deferred accounts (401k, IRA), the full amount grows tax-free until withdrawal. For taxable accounts, use the after-tax return rate for more accurate projections.
This calculator assumes fixed payments. For growing annuities (e.g., contributions that increase 3% annually), a separate growing annuity formula is needed: FVA = PMT × [((1+r)^n - (1+g)^n) / (r-g)], where g is the growth rate.
More frequent payments at the same total annual amount produce slightly higher future values because money is invested sooner. Monthly payments outperform annual payments because each contribution starts compounding earlier.
The Rule of 72 applies to lump sums, not annuities. For annuities, a rough estimate is that the future value will be approximately 1.5× to 3× total contributions for 10-20 year horizons at typical market returns (7-10%).
Roboculator Team
The Roboculator Team explains calculations, planning tools, and practical formulas in clear language for real-life situations.
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