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Growing Perpetuity Calculator
Calculate the present value of a growing perpetuity — a payment that continues forever and grows at a constant rate each period — from the first payment, discount rate, and growth rate.
How to Use Growing Perpetuity Calculator
- 1Enter the first payment amount
- 2Enter your discount rate
- 3Enter the expected constant growth rate (must be lower than the discount rate)
- 4Click Calculate to see the present value
Frequently Asked Questions
The calculator shows an error instead of a number — mathematically, a growing perpetuity's present value is only finite when the discount rate is strictly greater than the growth rate. If growth ≥ discount rate, the formula would imply an infinite value, which isn't meaningful.
Plain Perpetuity Calculator assumes a constant, unchanging payment forever. This tool assumes the payment grows by a fixed percentage every period (e.g. a stock's dividend growing with the business) — this is sometimes called the Gordon Growth Model in equity valuation.
Your assumed long-term growth rate for the payment — often approximated using long-run GDP growth or inflation for conservative, stable-business valuations.
It's a simplified academic version of the Gordon Growth Model used in equity valuation — real valuations typically layer in more assumptions (multi-stage growth, terminal value adjustments) beyond this single-stage formula.
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