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Growing Perpetuity

Value perpetual payments growing below the discount rate.

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Your numbers

Local calculations. Results are estimates, not professional advice.

Present value

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Educational estimate using your assumptions; no live rates, tax rules or investment recommendations. Returns can be negative and are not guaranteed.

Formula

PV=A₁/(r−g)

Value perpetual payments growing below the discount rate.

Worked example

Next payment
100
Discount rate (%)
8
Payment growth (%)
3
Present value
2,000

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: 9d21780c95f0 · Example checked:

Methodology

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