Perpetuity Calculator
Finance
Value a constant payment stream continuing indefinitely.
Formula
PV = payment / rate
- Use the units shown beside each field.
- Results update automatically whenever you change an input.
- Displayed values use up to four decimal places, or scientific notation for very small or large numbers. Calculations use standard floating-point arithmetic; exact integer and fraction tools identify their own precision rules.
- First payment occurs one full period from now.
Example Calculation
Example inputs
- Payment per period: 100 $
- Discount rate per period: 5 %
A $100 perpetuity discounted at 5% per period has value $2,000.
Frequently asked questions
How do I use this calculator?
Enter payment per period, discount rate per period. The result updates automatically. Use Reset to restore the example values.
What method does it use?
PV = payment / rate. First payment occurs one full period from now.
Why might a rounded result differ?
The calculation keeps full numeric precision internally, then rounds the displayed result. Rounding intermediate steps by hand can produce a slightly different answer.
Are my inputs saved online?
No. This calculator processes your inputs in your browser. A recently used list stores only calculator names on this device, not your entered values.
Check the assumptions and units before using this result. Read about calculation methods.