What this Annuity Future Value Calculator does
This English-language annuity future value calculator applies the standard future value formula to a series of equal, periodic payments — giving you the projected balance at the end of a fixed term. Enter your periodic payment, annual interest rate, number of periods, and whether payments fall at the end (ordinary annuity) or beginning (annuity due) of each period, and the tool returns the future worth instantly. Because floating-point arithmetic in most spreadsheet engines stores decimals in IEEE 754 double-precision format, tiny rounding errors can compound over hundreds of periods. This calculator applies standard rounding to each intermediate step to keep results consistent with financial convention. Everything runs 100% client-side — your data never leaves your browser. No uploads, no tracking, no server logs. If you also need to discount that same cash flow stream back to today, the [compound interest calculator](/en/compound-interest-calculator/) and [Investment ROI Calculator](/en/investment-roi-calculator/) cover related time-value calculations. The annuity future value formula is: FV = PMT × [((1 + r)^n − 1) / r], where PMT is the periodic payment, r is the rate per period, and n is the total number of periods. For an annuity due, multiply the result by (1 + r) to account for one extra compounding period per payment.
Features
- Ordinary annuity and annuity due. Switch between payment-at-end (ordinary annuity — think 401k contributions or bond coupons) and payment-at-start (annuity due — think rent or insurance premiums). The due variant always produces a slightly higher future value for identical inputs because each payment compounds for one additional period.
- Flexible compounding periods. Choose monthly, quarterly, semi-annual, or annual compounding. The calculator automatically converts your annual rate to a per-period rate, so you can compare how compounding frequency changes the future worth of the same total annual contribution.
- Annuity future value formula shown. The result panel displays the formula used — FV = PMT × [((1 + r)^n − 1) / r] — with your actual inputs substituted in, so you can verify the math or paste it into a report.
- Excel-compatible output. Results match Excel's FV() function when you use the same compounding convention. For ordinary annuity:
=FV(rate, nper, -pmt, 0, 0). For annuity due:=FV(rate, nper, -pmt, 0, 1). Copy the result with one click. - No account, no server. All computation runs in your browser via JavaScript. Nothing is transmitted to any server, and there are no cookies or tracking pixels. You can use the tool offline once the page has loaded.
How to use the Annuity Future Value Calculator
Fill in the four fields below and click Calculate. Results appear immediately — no page reload required.
- Enter the periodic payment (PMT). Type the fixed amount you contribute or receive each period, in dollars. For a 401k with $500/month contributions, enter 500.
- Set the annual interest rate. Enter the nominal annual rate as a percentage (e.g., 7 for 7%). The calculator converts this to a per-period rate using
r = annual_rate / periods_per_year. - Choose number of periods and compounding frequency. Enter total periods (e.g., 360 for 30 years of monthly payments) and select the compounding interval that matches your scenario.
- Select ordinary annuity or annuity due. If payments happen at the end of each period (most retirement accounts, loan payments), choose ordinary annuity. If payments happen at the start (rent, lease payments), choose annuity due.
- Copy or record the result. Click Copy to grab the future value and paste it into a spreadsheet or report. The formula with your inputs is shown alongside the result for transparency.
Common use cases
- Projecting a 401k or IRA balance. A contributor in Seattle making $600 monthly 401k deposits at an assumed 7% annual return over 30 years can use the ordinary annuity equation to project the terminal balance before modeling Roth conversions or Required Minimum Distributions.
- Comparing monthly vs. annual compounding. Use the compounding-frequency toggle to see how the same $200/month contribution grows differently under monthly vs. annual compounding — a common question when evaluating savings accounts vs. CDs.
- Lease and rent projection (annuity due). Commercial leases in New York often require payment at the beginning of each month. The annuity due variant correctly captures that extra period of compounding, giving landlords and tenants an accurate future-value baseline for multi-year agreements.
- Bond coupon reinvestment modeling. Fixed-income investors can model the future worth of reinvested coupons by treating each semi-annual coupon as PMT in an ordinary annuity, then compare it against the [loan calculator](/en/loan-calculator/) to net out liability costs.
- Education savings planning. Parents contributing a fixed monthly amount to a 529 plan can project the account balance at the year a child enters college, adjusting the rate assumption to stress-test optimistic vs. conservative market scenarios.
Frequently asked questions
What is the difference between ordinary annuity and annuity due?
An ordinary annuity makes payments at the end of each period — 401k contributions, bond coupons, and most loan repayments follow this pattern. An annuity due makes payments at the start of each period, like rent or insurance premiums. For identical inputs, the annuity due future value is always higher by a factor of (1 + r) because every payment gets one additional compounding period.
How does this calculator handle the future value annuity formula?
It uses FV = PMT × [((1 + r)^n − 1) / r] for an ordinary annuity, and multiplies by (1 + r) for annuity due. The per-period rate r is derived from the annual rate divided by the number of compounding periods per year, so monthly and annual compounding produce different results even with the same nominal rate.
Is my financial data private?
Yes. All calculations run entirely in your browser using JavaScript. No data is transmitted to any server, stored in a database, or logged anywhere. You can disconnect from the internet after the page loads and the calculator will still work — there is nothing server-side involved. For further reading on how browser-based cryptographic APIs are designed to keep data local, see MDN — SubtleCrypto.digest as an example of the same client-side-only design philosophy.
Why does my Excel FV() result differ slightly from this calculator?
If you are seeing small discrepancies, check that you are using the same compounding frequency and payment timing. In Excel, =FV(rate/12, nper, -pmt, 0, 0) matches monthly ordinary annuity. The type argument (0 or 1) controls end-vs-start timing, corresponding to ordinary vs. due. Floating-point rounding across many periods can also produce differences in the last decimal place — a known property of IEEE 754 arithmetic that affects all spreadsheet engines.
What is a future value annuity chart, and can this tool generate one?
A future value annuity chart plots the accumulated balance at each period rather than just the terminal value. This calculator returns the end-of-term future value. For a period-by-period chart, you can use the result as a check value and build the table in Excel using a row-by-row FV formula, or explore the [CAGR Calculator](/en/cagr-calculator/) for growth-rate visualization.
Does this tool support a growing annuity (step-up contributions)?
Not currently. The future value of a growing annuity uses a different formula: FV = PMT × [((1 + r)^n − (1 + g)^n) / (r − g)], where g is the growth rate of each payment. This calculator assumes a constant payment amount. If your contributions increase each year, the growing annuity formula will give a more accurate projection — a common requirement for modeling salary-linked retirement contributions.