Complete guide
Present Value Calculator: formula, worked example and interpretation
Discount a future lump sum and optional recurring end-of-period payments to today's value. Enter the known values and the result updates instantly with an auditable breakdown.
What the Present Value Calculator answers
Discount a future lump sum and optional recurring end-of-period payments to today's value.
Use the breakdown to compare the result with the source values before making a decision.
Formula and variables
The calculation uses PV=FV/(1+r)^n+PMT×[1−(1+r)^−n]/r. Every variable comes directly from a labeled field.
PV=FV/(1+r)^n+PMT×[1−(1+r)^−n]/rWorked example
$100,000 due in ten periods plus $5,000 each period is discounted at 6% per period.
Changing any field recalculates the result immediately, so nearby scenarios can be compared without reloading the page.
How to use the result
Treat the result as a planning value and compare it with the detailed rows shown beside it.
Keep units and time periods consistent. Use the share or PDF action to preserve the exact assumptions.
Assumptions and scope
The rate and payment interval must match; taxes, risk changes and irregular timing are outside this level-payment model.
The calculator exposes its assumptions instead of filling missing facts with hidden estimates.
Accuracy checks
Confirm the units, dates, rates and source figures before relying on the output.
Round only the displayed answer; Calculator24 keeps full JavaScript precision for intermediate arithmetic and exported values.
Input and output checklist
| Item | What to enter or review |
|---|---|
| Inputs | Future lump sum ($), Periodic payment ($), Rate per period (%), Number of periods |
| Equation | PV=FV/(1+r)^n+PMT×[1−(1+r)^−n]/r |
| Example | $100,000 due in ten periods plus $5,000 each period is discounted at 6% per period. |
| Limit | The rate and payment interval must match; taxes, risk changes and irregular timing are outside this level-payment model. |
Frequently asked questions
What does this Present Value Calculator calculate?
Discount a future lump sum and optional recurring end-of-period payments to today's value.
Which formula does it use?
PV=FV/(1+r)^n+PMT×[1−(1+r)^−n]/r
Does the result update while I type?
Yes. Valid changes recalculate after a short delay and the previous result is not substituted for invalid input.
Which assumptions should I check?
Check units, rates, dates and every source value shown in the form.
Is the result exact?
The rate and payment interval must match; taxes, risk changes and irregular timing are outside this level-payment model.
Can I save or share the calculation?
Yes. Copy, Share, WhatsApp, PDF/Print, CSV, comparison and parameterized-link actions are available.
What to keep in mind
The rate and payment interval must match; taxes, risk changes and irregular timing are outside this level-payment model.
Results display up to 8 decimal places; exported numbers preserve calculation precision. This is a calculation summary, not an official certificate.