Financial Mathematics

Growing Annuity Present Value

Value a finite sequence of growing payments, including equal growth and discount rates.

Your numbers

Sample inputs are illustrative. Changing currency changes labels only.

Your result

Preparing the sample calculation…

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How to use this calculator

  1. Enter first end-year payment, annual payment growth (%), annual discount rate (%), annual payments.
  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

PV=sum(payment₁×(1+g)^(k−1)/(1+r)^k) for k=1…n.

Assumptions and limitations

Annual end-period payments; deterministic growth and discount rate; excludes tax and credit risk.

Worked example

For the sample inputs shown above, growing annuity present value produces a first result of approximately 2857.142857. The assumptions below explain what this result represents.

What the result means

Value a finite sequence of growing payments, including equal growth and discount rates.

Common questions

How is the calculation performed?

PV=sum(payment₁×(1+g)^(k−1)/(1+r)^k) for k=1…n.

What does the model leave out?

Annual end-period payments; deterministic growth and discount rate; excludes tax and credit risk.

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.