Two-Stage DDM
Dividend discount model with two distinct growth stages: a high-growth period of n₁ years followed by a perpetual terminal-growth stage. Combines explicit-projection PV with a Gordon-style terminal value.
When to use: Use for companies in growth-phase transition: high near-term growth tapering to a sustainable mature rate. The standard upgrade from Gordon when the constant-growth assumption is unrealistic for the next several years.
Formula
Variables
| Symbol | Name | Description | Unit |
|---|---|---|---|
| V0 | Intrinsic Value | Per-share intrinsic value implied by the model | $ |
| D0 | Current Dividend | Most recent annual dividend per share | $ |
| g1 | High-Growth Rate | Growth rate during the high-growth stage, as a decimal | % |
| n1 | High-Growth Years | Years in the high-growth stage | years |
| g2 | Terminal Growth Rate | Growth rate after the high-growth stage, as a decimal | % |
| r | Required Return | Annual required rate of return as a decimal | % |
Real-Life Examples
Example 1: Tech Company Maturing
Current dividend $1.00. Growth at 15% for 5 years, then 4% in perpetuity. Required return 10%.
Given
Step-by-Step
Intrinsic value $27.37. The terminal value contributes ~80% of total value — a common pattern in two-stage models where most of the present value comes from the perpetuity beyond the explicit forecast horizon.
Frequently Asked Questions
Because the perpetuity captures all years beyond the explicit forecast — typically 5-10 years vs. infinity. Even discounted, infinite years of cash flow add up. This means terminal-growth and discount-rate assumptions are critical; small changes there move the answer significantly.
The model handles g₁ ≤ 0 fine in stage 1. For g₂, you still need r > g₂; very low or negative terminal growth is acceptable but gives a smaller terminal multiple.
When the transition between high and stable growth is gradual rather than abrupt. Three-stage models add a fade period where growth tapers linearly. Heavier to compute but more realistic for many real-world growth-to-maturity transitions.