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Present Value
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Present Value
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Today's lump sum
Future Value
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End-of-term value
Total Payments
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Sum of all payments
Total Interest
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Earnings / cost

Work out the present value or future value of a stream of regular, equal payments — such as a retirement annuity or structured settlement — for any payment amount, frequency, rate, and term.

How It Works

How Annuity Calculator Works

For an ordinary annuity (payments made at the end of each period), present value is PV = PMT × [1 − (1 + r)⁻ⁿ] ÷ r, and future value is FV = PMT × [(1 + r)ⁿ − 1] ÷ r, where r is the annual interest rate divided by the number of payments per year, and n is the total number of payments (years × payment frequency).

If you select "annuity-due" instead — payments made at the beginning of each period, like most rent or insurance premium schedules — both formulas are simply multiplied by an extra factor of (1 + r), since each payment earns one additional period of interest.

Total payments is just PMT × n, the raw sum of every payment with no growth applied. The "total interest" figure is the future value minus that raw total, showing how much of the ending balance came from compounding rather than your own contributions.

Worked Example

See It In Action

Paying $500 a month into an ordinary annuity at a 6% annual rate for 20 years (240 monthly payments, r = 0.5% per month) produces a present value of about $69,790.39 — the equivalent lump sum today — and a future value of about $231,020.45 at the end of the term. Total contributions over 20 years are $120,000, meaning roughly $111,020.45 of the future value came from interest, not your own payments.
Real-World Use Cases

Who Uses Annuity Calculator and Why

  • Finding the present value of a stream of future payments, such as a structured settlement, expressed as a single lump sum today.
  • Projecting the future value of regular contributions into a retirement annuity over a chosen term.
  • Comparing an ordinary annuity (payments at period-end) against an annuity-due (payments at period-start), like rent or insurance premiums.
  • Seeing how much of an annuity's ending future value comes from interest versus your own contributed payments.
Common Mistakes

Mistakes to Avoid

  • Mixing up ordinary annuity and annuity-due when the payment timing actually matters — an annuity-due (payments at the start of each period, like rent) always produces a slightly higher present and future value than an ordinary annuity, since each payment earns one extra period of interest.
  • Entering an annual rate without converting it correctly for a non-annual payment frequency — the rate used in the formula is the annual rate divided by the number of payments per year, so a monthly-payment annuity needs the annual rate divided by 12 as its effective r.
  • Assuming the total-interest figure represents a return rate — it's simply future value minus the raw sum of contributed payments, useful for seeing dollar impact but not a percentage return.
Pro Tips

Tips for Best Results

  • If your payment schedule matches rent or insurance premiums (paid at the start of each period), use annuity-due rather than the default ordinary annuity for an accurate present and future value.
  • Use this tool for retirement contribution projections or loan-payoff equivalent lump sums — the underlying math is the same for both use cases.
Troubleshooting

Fixing Common Problems

My present value or future value looks slightly lower than expected. — Check whether your payments are actually made at the start of each period (annuity-due) rather than the end (ordinary annuity) — switching to annuity-due raises both figures slightly since each payment then earns one additional period of interest.

Glossary

Terms Explained

Ordinary annuity: A series of equal payments made at the end of each period.

Annuity-due: A series of equal payments made at the beginning of each period, such as rent or insurance premiums, which always produces a higher present and future value than an ordinary annuity at the same rate.

FAQ

Frequently Asked Questions

What's the difference between present value and future value here?
Present value is the lump sum you'd need today to fund the entire payment stream at the given rate; future value is what that same stream of payments grows to by the end of the term. Choose "Solve For" to see one or both.
What is an annuity-due versus an ordinary annuity?
An ordinary annuity pays at the end of each period (typical for most loans and investment contributions); an annuity-due pays at the beginning (typical for rent and insurance premiums). Because annuity-due payments earn interest for one extra period, both its present and future value are always slightly higher.
How much does payment frequency change the result?
More frequent payments (monthly versus annually) compound more often at the same annual rate, which produces a modestly higher future value and present value for the same total annual contribution.
Can I use this for retirement savings or a loan payoff estimate?
Yes — the underlying math is the same one used for retirement contributions, structured settlements, and loan amortization. Just enter your payment, rate, frequency, and term to see the equivalent lump-sum values.