Present Value of Annuity Calculator

Written by Great Medico

Updated September 25, 2026 •3 min read

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If you are comparing alternatives, the fastest way to stay grounded is to make the assumptions explicit. Present Value of Annuity Calculator discounts a level stream of future annuity payments back to a present value and lets you change those inputs one at a time.

What this calculator does

Present Value of Annuity Calculator discounts a level stream of future annuity payments back to a present value. The visible form contains Payment timing, Annuity payment, Annual interest rate, Annuity term, Payment frequency. These are the inputs that define this calculator’s scope. If a value, rule, or adjustment is not represented by a working field, it should not be assumed to be included in the result.

How to use it

Enter Payment timing, Annuity payment, Annual interest rate, Annuity term and Payment frequency. Enter percentage or rate fields on the scale shown by the form rather than converting them to decimals yourself. Keep monetary inputs in the same currency, or use the currency selector when one is provided. Keep time and payment-frequency assumptions consistent with the labels on the page. Before calculating, recheck Payment timing and the other values that materially affect the result. For a clean comparison, hold the other inputs constant while changing one assumption at a time so you can see what is driving the result.

How the calculation works

For an ordinary annuity, present value = PMT × [1 − (1+r)^−n] / r. For an annuity due, the result is multiplied by (1+r) because the payments arrive one period earlier. This is the calculation method that should anchor any manual check of the output. If a displayed field does not affect the current calculation, that limitation is stated below rather than silently treating the field as part of the formula.

Example

With the displayed example values (Payment timing = ordinary, Annuity payment = 1,000, Annual interest rate = 5, and Annuity term = 10) and the remaining defaults unchanged, the current calculator returns $94,281.35 for present value of annuity. Replacing those defaults with your own values recalculates the same relationship; change one input at a time if you want to see which assumption is driving the difference.

How to interpret the result

Present value is the lump-sum amount that is mathematically equivalent to the entered payment stream at the selected discount rate. Raising the discount rate lowers present value when other inputs stay the same. Compare results produced from the same definitions and time period. A mathematically larger or smaller number is not automatically better unless the financial context makes that direction meaningful.

Limitations and notes

The calculation assumes a constant discount rate and regular payments. Credit risk, taxes, fees, inflation, reinvestment conditions, and contract-specific guarantees are outside the formula. Where the calculator depends on estimates, rates, accounting classifications, or future behavior, test more than one plausible scenario before making a decision.