What is the Non-Constant Growth Model?
The non-constant growth model, also known as the multi-stage dividend discount model (DDM), is a stock valuation method used to estimate the intrinsic value of a company whose dividends are expected to grow at different rates over time. Unlike the constant-growth Gordon Growth Model, which assumes a single perpetual growth rate, the non-constant growth model accounts for companies that experience periods of rapid expansion followed by a transition to stable, sustainable growth.
This model is particularly useful for valuing growth stocks, companies in emerging industries, or firms undergoing significant business transformations. It captures the reality that most companies cannot sustain abnormally high growth rates indefinitely — eventually, competitive pressures, market saturation, and economic forces cause growth to moderate.
How the Multi-Stage DDM Works
The non-constant growth calculator divides a stock's future into distinct phases, each with its own dividend growth rate. The intrinsic value is the sum of two components:
- Present value of dividends during high-growth phases: Each future dividend is projected using the phase-specific growth rate, then discounted back to today using the required rate of return.
- Present value of the terminal value: At the end of the last high-growth phase, the stock is assumed to grow at a constant terminal rate forever. The Gordon Growth Model calculates this perpetuity value, which is then discounted to the present.
Non-Constant Growth Formula
The intrinsic value of a stock under the multi-stage DDM is calculated as:
P₀ = Σ [D₀ × (1+gi)t / (1+r)t] + [DN × (1+gn) / (r - gn)] / (1+r)N
Where:
- P₀ = intrinsic value (fair price) of the stock today
- D₀ = current annual dividend per share
- gi = dividend growth rate during phase i
- r = required rate of return (discount rate)
- N = total number of years in all high-growth phases
- DN = dividend at the end of year N
- gn = terminal (constant) growth rate
Example: Two-Stage Non-Constant Growth Valuation
Suppose a stock currently pays a $2.00 annual dividend. You expect dividends to grow at 25% per year for the next 3 years (supernormal growth), then at 4% per year indefinitely. Your required rate of return is 10%.
- Year 1 dividend: $2.00 × 1.25 = $2.50
- Year 2 dividend: $2.50 × 1.25 = $3.125
- Year 3 dividend: $3.125 × 1.25 = $3.9063
- Terminal value at Year 3: ($3.9063 × 1.04) / (0.10 - 0.04) = $67.71
Discounting all dividends and the terminal value back to today at 10% gives you the estimated intrinsic value per share. Use the calculator above to compute this instantly with any number of growth phases.
When to Use Non-Constant Growth Valuation
The multi-stage DDM is most appropriate in the following scenarios:
- High-growth companies: Firms experiencing rapid revenue and earnings growth that is expected to slow over time (e.g., tech startups maturing into large-cap companies).
- Turnaround situations: Companies recovering from a downturn with temporarily elevated growth rates before normalizing.
- Cyclical industries: Businesses in sectors where growth rates vary significantly across economic cycles.
- Dividend initiators: Companies that recently started paying dividends and are expected to increase payouts rapidly before settling into a steady pattern.
Non-Constant Growth vs. Gordon Growth Model
The Gordon Growth Model (GGM) is a special case of the dividend discount model that assumes dividends grow at a single constant rate forever. While simpler, it can significantly overvalue or undervalue stocks when growth rates are expected to change. The non-constant growth model provides a more realistic valuation by explicitly modeling different growth phases.
| Feature | Gordon Growth Model | Non-Constant Growth Model |
|---|---|---|
| Growth Assumption | Single constant rate forever | Multiple phases + terminal rate |
| Best For | Mature, stable companies | Growth companies, turnarounds |
| Complexity | Simple | Moderate |
| Accuracy | Lower for non-stable companies | Higher for changing growth rates |
How to Use This Non-Constant Growth Calculator
- Enter the current dividend (D₀): This is the most recent annual dividend per share the company has paid.
- Define growth phases: Add one or more phases, each with a duration (years) and expected dividend growth rate. For example, 25% growth for 3 years, then 15% for 2 years.
- Set the terminal growth rate: The long-run sustainable growth rate after all high-growth phases end. This is typically 2–5%, close to the long-term GDP or inflation rate.
- Enter your required rate of return: The minimum annual return you require to justify the investment. This must be greater than the terminal growth rate.
- Click Calculate: View the estimated intrinsic value, value composition breakdown, and a detailed year-by-year dividend schedule.
Why Use Our Non-Constant Growth Calculator?
Unlimited Growth Phases
Model any number of growth stages — two-stage, three-stage, or more — to match your specific valuation scenario.
Visual Breakdown
See how much of the stock's value comes from high-growth dividends vs. the terminal value with interactive charts.
Detailed Dividend Schedule
View a year-by-year table of projected dividends, growth rates, and present values for every phase.
Completely Free
No registration, no limits. Use our non-constant growth calculator as many times as you need.