When to use this calculator
Value an ideal perpetual stream of equal payments. Assumes the same end-of-period payment continues forever at a fixed positive discount rate.
Explore the savings & interest calculators for other questions in this topic. For a related calculation, use the Retirement Fund Target Calculator: Translate a chosen annual retirement-income goal into a fund target under an assumed withdrawal percentage.
PUTTING IT INTO PRACTICE
Perpetuity Present Value: a worked example
The values below are an illustrative example, not a recommendation. Replace them with measurements or assumptions that match your question.
| Input | Example value |
|---|---|
| Payment per period | 100 |
| Discount rate per period (%) | 5 |
| Result | 2,000 currency units |
- Check the input labels and enter the example values above.
- Apply the relationship: Present value = payment/discount rate.
- The result is 2,000 currency units, rounded for display.
How to interpret your result
Assumes the same end-of-period payment continues forever at a fixed positive discount rate.
Match the quoted rate to its compounding convention. A nominal rate, effective annual rate and continuous rate are not interchangeable. Contribution timing also matters when interest is included in a future-value model.
Frequently asked questions
Is a future savings value a forecast?
It is a scenario based on your entered rate and contributions. Changing rates, fees, tax or interrupted payments can change the actual outcome.
When is the perpetuity present value calculator useful?
Value an ideal perpetual stream of equal payments. Assumes the same end-of-period payment continues forever at a fixed positive discount rate.
How do I use the perpetuity present value calculator?
Enter payment per period, discount rate per period (%). The result updates automatically. Use the units shown beside each input; the example values illustrate the method.
Which formula does this calculator use?
Present value = payment/discount rate.
What should I check before using the result?
Assumes the same end-of-period payment continues forever at a fixed positive discount rate.
How are results rounded?
Scalar numbers display up to six decimal places, with scientific notation for very large or small values. Text, fraction, date and schedule outputs use the format described on the tool. Intermediate calculations use JavaScript floating-point arithmetic. Keep sensible precision for your measurements.
Further reading
For background on this topic, see OpenStax: compound interest ↗. This is a topic reference, not an external review or endorsement of this tool.
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