Growing Annuity Present Value
Value a finite sequence of growing end-of-period payments.
Your numbers
Present value
Educational estimate using your assumptions; no live rates, tax rules or investment recommendations. Returns can be negative and are not guaranteed.
Scenario comparison
Up to three snapshots in this tab. Loading one replaces the current inputs.
Formula
PV=A₁[1−((1+g)/(1+r))ⁿ]/(r−g)
Value a finite sequence of growing end-of-period payments.
Worked example
- First payment
- 100
- Discount rate per period (%)
- 5
- Payment growth per period (%)
- 2
- Payments
- 10
- Present value
- 838.810565243
Scope and limitations
Educational estimate using your assumptions; no live rates, tax rules or investment recommendations. Returns can be negative and are not guaranteed.
Inputs are checked for missing values and allowed ranges. A result outside the finite numeric range is not displayed. Rounding affects display, while the calculation uses the model’s numeric precision.
Check your units and assumptions before relying on a result. Changing a label does not convert a currency or physical unit.
Formula version: dd923acae94b · Example checked: