Dividend Discount Model (DDM) Simulation Lab

Model intrinsic equity value using Gordon Growth, Two-Stage supernormal expansion, the Fuller-Hsia H-Model, implied cost of equity, and discount rate sensitivity matrices.

Equity & Dividend Inputs

Model Parameters
$
$
%
%
%
yr
%
%

Valuation & Margin of Safety Diagnostics

Analyzing...
Gordon Growth Intrinsic Value
$60.38
Trading at a -7.1% discount to current market price ($65.00)
Two-Stage DDM Value
$74.15
Margin of Safety: +12.3%
H-Model Transition Value
$69.45
Margin of Safety: +6.4%
Implied Cost of Equity
8.69%
Forward Yield (D1/P0): 4.18%
Sustainable Growth Rate (SGR)
6.75%
Retention Rate (b): 45.0%
Generating multi-stage equity valuation and sensitivity analysis...

Two-Stage Discrete Dividend Schedule & Present Value Waterfall

Year Period Type Projected DPS ($) Discount Factor (1/(1+r)^t) Present Value (PV) ($) Cumulative PV ($)

Sensitivity: Cost of Equity (r) vs. Terminal Growth (g)

Gordon Growth intrinsic value ($/share) across varying discount and perpetuity growth rates.

Sensitivity: High Growth Rate (g_S) vs. Duration (Years)

Two-Stage DDM intrinsic value ($/share) across initial supernormal growth rates and stage durations.

Mathematical Architecture & Valuation Mechanics

Gordon Growth & Multi-Stage DDM Formulas

Gordon Constant Growth:
P0 = D1 / (r - g) = [D0 × (1 + g)] / (r - g)

Two-Stage DDM:
P0 = ∑ [ D_t / (1 + r)^t ] + [ D_(n+1) / (r - g) ] × [ 1 / (1 + r)^n ]

Fuller-Hsia H-Model:
P0 = [ D0 × (1 + g_L) + D0 × H × (g_S - g_L) ] / (r - g_L)
where H = Transition Half-Life (Duration / 2)

The Gordon Growth Model represents the gold standard for mature cash cows with stable retention, while the H-Model captures the natural erosion of competitive advantage over time.

Implied Returns & Margin of Safety

Forward Dividend Yield = D1 / Current Price
Implied Cost of Equity (r) = (D1 / Current Price) + g
Sustainable Growth Rate (g) = ROE × (1 - Payout Ratio)
Retention Ratio (b) = 1 - Payout Ratio
Margin of Safety (%) = [(Intrinsic Value - Current Price) / Intrinsic Value] × 100%

A positive Margin of Safety shields investors against forecasting errors in perpetual growth rates or unforeseen increases in the market equity risk premium.

Frequently Asked Questions

What is the Dividend Discount Model (DDM) and Gordon Growth Model?

The Dividend Discount Model (DDM) values an equity share as the present value of all its future expected cash dividend distributions. The Gordon Constant Growth Model assumes dividends grow perpetually at a constant rate g: P0 = D1 / (r - g), where D1 is the next year expected dividend and r is the investor required rate of return or cost of equity.

When should an analyst use Two-Stage DDM versus the Fuller-Hsia H-Model?

Use Two-Stage DDM when a company experiences high supernormal growth for a fixed discrete period (e.g. 5 years) before abruptly transitioning to long-term mature growth. Use the H-Model when growth declines gradually and linearly over time as industry competition intensifies and excess economic rents dissipate.

Why does the Gordon Growth Model fail if the cost of equity (r) is less than or equal to the dividend growth rate (g)?

If the dividend growth rate equals or exceeds the discount rate (g >= r), the denominator (r - g) becomes zero or negative, yielding an infinite or mathematically nonsensical negative valuation. Economically, no single corporation can expand its cash dividends faster than the broader economy indefinitely without eventually consuming all global wealth.

How does the Sustainable Growth Rate (SGR) link to dividend discount valuation?

The fundamental Sustainable Growth Rate is computed as g = ROE * (1 - Payout Ratio). If a company pays out 100% of its earnings as dividends, retention is zero and sustainable organic growth is 0%. The DDM demonstrates how higher retention allows reinvestment that fuels compound dividend growth.