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Perpetuity Present Value Calculator

Growing perpetuity value = next payment/(discount rate−growth rate).

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Calculate perpetuity present value online

Growing perpetuity value = next payment/(discount rate−growth rate). Use this to calculate a stated mathematical relationship from your own explicit assumptions. Units and input order are part of the calculation; no changing external rates or laws are inferred.

How to use it

Enter 3 comma-separated numbers in this order: next-period payment, discount rate percent, growth rate percent. Choose Calculate. Review the output, then copy or download it.

Calculation method

Growing perpetuity value = next payment/(discount rate−growth rate).

Worked examples

Use this to calculate a stated mathematical relationship from your own explicit assumptions. Units and input order are part of the calculation; no changing external rates or laws are inferred.

Reproducible worked example

Settings: No additional settings.

Input:

100, 8, 2

With the input and settings above, the tool produces:

Output:

1666.6666666666667

Limitations and common mistakes

Ideal constant perpetual growth model with end-of-period payments; no guarantee of future cash flows.
Combined input is bounded to 150,000 characters; output text is bounded to 1.2 million characters. Some algorithms impose smaller limits, stated in their error messages.
Use a dot as the decimal separator and commas or spaces between numeric entries. The calculation uses floating-point arithmetic unless exact integers are explicitly stated.

Frequently asked questions

What format should I enter?

Enter 3 comma-separated numbers in this order: next-period payment, discount rate percent, growth rate percent. The worked example shows the supported structure and actual output.

How can I compute perpetuity present value online?

Enter 3 comma-separated numbers in this order: next-period payment, discount rate percent, growth rate percent. Choose Calculate. Review the output, then copy or download it.

Where is my input processed?

The bundled tool processes input in your browser. It does not upload tool input to a conversion service. Other site plugins, analytics, advertising and browser extensions may have separate behavior.