Growing Perpetuity Calculator
Created by: Olivia Harper
Last updated:
Estimate the present value of an indefinitely growing cash-flow stream so the critical spread between discount rate and growth rate is explicit.
Growing Perpetuity Calculator
FinanceEstimate the value of an indefinitely growing cash-flow stream and make the discount-rate minus growth-rate spread explicit.
What is a Growing Perpetuity Calculator?
A growing perpetuity calculator estimates the present value of a cash-flow stream that continues indefinitely and grows at a constant annual rate.
It is a common simplification in equity valuation and terminal-value modeling.
This matters because the value of a long-duration asset can change sharply when the spread between discount rate and growth rate changes even slightly.
A good growing-perpetuity calculator should therefore make the rate spread explicit instead of only showing the headline present value.
How the Growing-Perpetuity Calculation Works
The calculator divides next-period cash flow by the difference between the discount rate and the growth rate.
That spread is the core of the formula and the main reason the output can become very large when the gap narrows.
Because the result is highly assumption-sensitive, it should be used for scenario analysis rather than as an unquestionable precise value.
Core growing-perpetuity relationships
Growing perpetuity value = next-period cash flow / (discount rate - growth rate)
Spread = discount rate - growth rate
Narrower spread → higher valuation
Example Scenarios
Example 1: Gordon-growth intuition
Dividend-discount models often use the growing-perpetuity formula to explain why stable growth and required return assumptions matter so much.
Example 2: Terminal-value sensitivity
A modest change in discount rate or growth can create a large move in calculated terminal value.
Example 3: Spread discipline
Watching the spread directly helps prevent unrealistic valuation conclusions based on aggressive assumptions.
How People Use This Calculator
- Estimate the value of an indefinitely growing cash-flow stream.
- Support simple dividend-discount and terminal-value examples.
- See how discount-rate and growth assumptions interact.
- Make the valuation spread explicit for scenario analysis.
Tips for Better Growing-Perpetuity Analysis
Growth assumptions should be durable and plausible over the long term.
A perpetual growth rate that exceeds what the business or economy can realistically sustain will distort the output.
If the spread between discount rate and growth is very small, treat the result cautiously.
The formula becomes extremely sensitive in that zone.
Frequently Asked Questions
What is a growing perpetuity?
A growing perpetuity is a payment stream that continues indefinitely while increasing at a constant annual growth rate.
Why must discount rate be above growth rate?
The simple growing-perpetuity formula only produces a finite value when the discount rate exceeds the growth rate.
Where is this formula used?
It is commonly used in dividend-discount and terminal-value style finance examples.
Should I use aggressive growth assumptions?
Be careful. Small increases in growth or decreases in discount rate can inflate the valuation dramatically.
Sources and References
- General equity-valuation and corporate-finance references covering the Gordon growth model.
- Introductory valuation resources explaining growing perpetuities and terminal-value sensitivity.
Planning Note
Growing Perpetuity Calculator is a planning estimate. Rate assumptions, payment timing, and horizon length can change the result materially, so use it to compare scenarios rather than to claim precision that the inputs do not support.