Financial Mathematics

Perpetuity Value

Discount a constant annual cash flow that is assumed to continue indefinitely.

Your numbers

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Your result

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How to use this calculator

  1. Enter annual cash flow, positive annual discount rate (%).
  2. Choose a display currency, then select Calculate. Results also update after a brief pause while you edit.
  3. Read the result with the assumptions below. Export details or save a second scenario to compare your choices.

Formula and method

Present value = next annual cash flow / annual discount rate.

Assumptions and limitations

The first payment is one year from now. The discount rate must be positive and consistent with the cash-flow basis.

Worked example

With annual cash flow = 1000, positive annual discount rate (%) = 5, perpetuity present value is approximately 20000.

What the result means

An infinite constant payment stream is a model, not a promise that any asset pays forever.

Common questions

How should I interpret perpetuity present value?

An infinite constant payment stream is a model, not a promise that any asset pays forever.

What should I check before using this result?

The first payment is one year from now. The discount rate must be positive and consistent with the cash-flow basis.

Methodology and transparency

Calculation specification reviewed on 2026-10-14. Mathematical implementation is tested against independent reference fixtures. This does not imply review by a licensed financial professional. Read the testing and precision policy.