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Growing Annuity Calculator

Present and future value of payments that grow by a fixed rate each period.

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Growing Annuity Calculator

Your numbers

Payments at

Result

Show formula & working

PV = P ÷ (r − g) × (1 − ((1 + g) ÷ (1 + r))n) · if r = g: PV = n × P ÷ (1 + r)

FV = PV × (1 + r)n; payments at the start: × (1 + r)

    How this works

    Salaries, rents and expenses rise over time. A growing annuity values such a stream in one step.

    When growth equals the discount rate, every discounted payment is the same — the formula has a special case for it.

    Frequently asked questions

    Can growth be negative?

    Yes — for a shrinking stream.

    What is P?

    The first payment; later payments grow by g each period.

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