Gordon Growth Model Explained: Valuation Formula and Uses 2026

The Gordon Growth Model (GGM) is one of the most widely used valuation models for calculating terminal value in Discounted Cash Flow (DCF) analysis. It helps estimate the intrinsic value of a business by assuming free cash flows grow at a constant rate indefinitely. This guide explains the Gordon Growth Formula, Terminal Value Formula, practical examples, assumptions, and real-world valuation uses.

What is the Gordon Growth Model?

The Gordon Growth Model (also known as the Gordon Growth Formula) is a valuation framework used to estimate the present value of an asset based on cash flows that are expected to grow at a constant rate indefinitely. It is traditionally calculated using dividends, where the value of a stock is estimated based on dividends expected to grow at a stable rate over time.

In practice, the model is not limited to dividends. It is applied more broadly to value different types of cash flows, including Free Cash Flow to Firm (FCFF), Free Cash Flow to Equity (FCFE), and dividends. By capitalizing these cash flows using an appropriate discount rate, the model provides a structured way to estimate value under steady-state conditions.

In simple terms, the model answers a fundamental question: What is a business worth today based on the cash it can generate over time, assuming stable long-term growth?

Terminal Value Formula (Gordon Growth Formula)

One of the most common uses of the Gordon Growth Model is calculating terminal value in a Discounted Cash Flow (DCF) valuation. The terminal value formula estimates the value of a business beyond the explicit forecast period by assuming that free cash flows continue growing at a constant rate indefinitely.

The Terminal Value Formula is one of the most frequently searched concepts in business valuation because it represents the value of all future cash flows beyond the explicit forecast period. It is widely used by valuation professionals, investment bankers, financial analysts, and auditors when building DCF models.

Terminal Value Formula

TV = FCF × (1 + g) ÷ (WACC − g)

Where:

• TV = Terminal Value

• FCF = Free Cash Flow in the final forecast year

• g = Long-term perpetual growth rate

• WACC = Weighted Average Cost of Capital

FCFF Terminal Value Formula

Terminal Value = FCFF × (1 + g) ÷ (WACC − g)

This version is widely used in business valuation and DCF models because it calculates the enterprise value of a business based on Free Cash Flow to Firm (FCFF). Once the terminal value is calculated, it is discounted back to present value and combined with the forecast cash flows to determine the total enterprise value.

Important: The perpetual growth rate ( g ) must always be lower than the discount rate ( WACC ). If the growth rate equals or exceeds the discount rate, the formula becomes mathematically invalid and produces unrealistic valuation results.

Gordon Growth Terminal Value Calculator

Use the calculator below to estimate terminal value using the Gordon Growth Model.

Select the type of cash flow, enter the final forecast-year amount, perpetual growth rate and discount rate, and the calculator will estimate the terminal value and its present value.

Use the following combinations:

• FCFF with WACC

• FCFE with cost of equity

• Dividends with cost of equity

Important: The perpetual growth rate must always be lower than the applicable discount rate.

Download the Gordon Growth Model Excel Template

Use our downloadable Excel template to calculate terminal value using FCFF, FCFE or dividends. The template also includes a discount-rate and growth-rate sensitivity table.

Download Template

The Gordon Growth Model Formula

The Gordon Growth Model works by converting a stream of future cash flows that grow at a constant rate into a single present value. Instead of projecting cash flows indefinitely, the model assumes that once a business reaches a stable phase, its cash flows grow at a steady, sustainable rate over time.

This allows valuation professionals to simplify long-term projections into a structured formula, where value is determined by three key factors: expected cash flows, growth rate, and the required return. The relationship between these variables is critical: value increases with higher cash flows and growth, and decreases with higher risk.

Depending on the type of cash flow, the Gordon Growth Formula can be applied at both the enterprise value and equity value levels.

1. FCFF Approach (Enterprise Value)

Enterprise Value = FCFF₁ / (WACC − g)

• FCFF₁: Free Cash Flow to Firm expected in the next period

• WACC: Weighted Average Cost of Capital

• g: Long-term growth rate

In practice, this formulation is typically used to calculate the terminal value at the end of the forecast period in a DCF model. FCFF₁ is derived by growing the final forecast year cash flow at the long-term growth rate (g), reflecting the transition to a stable growth phase.

2. FCFE Approach (Equity Value)

Equity Value = FCFE₁ / (Ke − g)

• FCFE₁: Free Cash Flow to Equity expected in the next period

• Ke: Cost of equity

• g: Long-term growth rate

This approach applies the Gordon Growth Model to cash flows available to equity shareholders. In practice, it is used to estimate equity value directly, and can also be applied in terminal value calculations when valuation is performed from an equity perspective.

3. Dividend Approach (Traditional Model)

Value = D₁ / (Ke − g)

• D₁: Expected dividend in the next period

• Ke: Cost of equity

• g: Growth rate in dividends

This represents the traditional Dividend Discount Model (DDM) and is a simplified application of the broader framework. It is most relevant for companies with stable and predictable dividend policies.

How the Formula is Used in Practice (DCF Context)?

In real-world valuation, the Gordon Growth Model is most commonly used to estimate terminal value within a Discounted Cash Flow (DCF) model.

Terminal value is critical because it captures the value of a business beyond the explicit forecast period. Since forecasting cash flows indefinitely is not practical, a steady-state assumption is applied, and the The Gordon Growth Model converts these long-term expectations into a single value.

A typical DCF process involves:

• Forecasting free cash flows (FCFF or FCFE) over a defined period

• Identifying the point at which the business reaches stable growth

• Applying the Gordon Growth Model to calculate the terminal value

• Discounting projected cash flows and terminal value to present value using WACC or cost of equity

• Deriving enterprise value or equity value, and adjusting for debt to arrive at intrinsic value per share

Beyond the model itself, valuation also depends on:

• Cash flow projections

• Discount rate assumptions

• Sustainable growth estimates

• Capital structure considerations

In practice, the Gordon Growth Model is less a standalone formula and more a critical component that captures the continuing value of a business within a DCF framework.

Understanding Discount Rates in the Gordon Growth Model

The choice of discount rate in the Gordon Growth Model depends on the type of cash flow being valued, as it reflects the perspective of the investor.

• WACC (Weighted Average Cost of Capital): It is used when applying the model to FCFF. It represents the required return for all capital providers, including both debt and equity holders, and is therefore used to estimate enterprise value.

• Cost of Equity (Ke): It is used when applying the model to FCFE or dividends. It reflects the return expected by equity investors and is used to estimate equity value directly.

Selecting the appropriate discount rate is essential, as it ensures consistency between the cash flows being valued and the risk being measured.

Applications and Practical Use in Valuation

The Gordon Growth Method is not just a theoretical valuation technique. It forms a critical component of modern Discounted Cash Flow (DCF) valuation.

Terminal Value in DCF Models (Primary Use Case)

In practice, the Gordon Growth Model is widely used to calculate a business’s continuing value beyond the explicit forecast period. By applying a constant growth assumption to cash flows, it converts long-term expectations into a single value. This makes it a critical component in valuation exercises for financial reporting and tax compliance, including 409A, ASC 820 (Fair Value), and ASC 805 (Business Combinations).

Equity and Enterprise Valuation

The model can be applied to both FCFF and FCFE to estimate enterprise value or equity value, particularly for businesses that have reached a stable, steady-state phase with predictable cash flows.

Investment Analysis

The model supports long-term investment analysis by helping assess the sustainability of cash flows and the relationship between growth and required return.

Beyond financial reporting, the Gordon Growth Model is widely used in mergers and acquisitions (M&A) , private equity transactions , fairness opinions , investment banking , strategic planning , and long-term equity research . Because it provides a structured approach to estimating continuing value, it remains one of the most widely accepted valuation methods for mature businesses with stable and predictable cash flows.

Where Does It Work Well?

• Mature businesses with stable cash flows

• Predictable, low-volatility industries

• Companies operating in steady-state growth environments

When Should the Gordon Growth Model Be Avoided?

• High-growth or early-stage companies

• Businesses with volatile or unpredictable cash flows

• Companies undergoing significant structural or market changes

• Environments with high uncertainty or instability

Valuation professionals rarely rely on the model in isolation. Instead, it is integrated into broader valuation frameworks, where it supports terminal value estimation and long-term assumptions. The emphasis remains on applying realistic inputs, validating data, and ensuring consistency with market conditions.

Assumptions of the Gordon Growth Model

The reliability of the Gordon Growth Model depends on a set of core assumptions that define where the model is applicable and where it may produce unreliable results.

• Constant Growth : Cash flows (FCFF, FCFE, or dividends) grow at a fixed rate indefinitely, reflecting a stable, long-term growth trajectory.

• Steady-State Business Conditions : The company operates in a mature phase with predictable performance, stable margins, and limited volatility.

• Growth Less Than Discount Rate : The long-term growth rate (g) must remain lower than the discount rate (WACC or cost of equity) to ensure a valid and stable valuation outcome.

• Sustainable Cash Flow Generation : The model assumes that the business generates consistent and normalised cash flows that can be maintained over the long term without significant fluctuations.

These assumptions make the model simple and effective for stable businesses, but they also limit its applicability in dynamic, high-growth, or transitional scenarios where cash flows and growth rates are uncertain.

How the Gordon Growth Model Works: Step-by-Step Example

To understand how the Gordon Growth Model is used in a real-world Discounted Cash Flow (DCF) valuation, let's calculate the terminal value using a practical example.

Assumptions

• Final Year FCFF (Year 5) = $100 million

• Long-term Growth Rate ( g ) = 4%

• Weighted Average Cost of Capital ( WACC ) = 10%

Step 1: Calculate Next Year's Free Cash Flow

The Gordon Growth Model uses the cash flow expected in the first year after the forecast period.

Formula

FCFF₁ = FCFF × (1 + g)

Calculation

FCFF₁ = $100 × (1 + 4%)

FCFF₁ = $104 million

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Step 2: Apply the Terminal Value Formula

Terminal Value Formula

TV = FCFF × (1 + g) ÷ (WACC − g)

Calculation

TV = 100 × (1 + 4%) ÷ (10% − 4%)

TV = 104 ÷ 6%

TV = $1,733 million

This represents the estimated value of all future cash flows beyond Year 5, assuming they continue growing at a constant rate forever.

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Step 3: Discount the Terminal Value to Present Value

Because the terminal value is calculated at the end of Year 5, it must be discounted back to today's value.

Formula

Present Value of TV = Terminal Value ÷ (1 + WACC)⁵

Calculation

Present Value = 1,733 ÷ (1.10)⁵

Present Value ≈ $1,076 million

Interpretation

The present value of the terminal value is approximately $1.076 billion . In a complete DCF valuation , this amount is added to the present value of the projected cash flows for Years 1–5 to determine the total enterprise value of the business.

This example demonstrates why the Gordon Growth Model is widely used for calculating terminal value in business valuation. Instead of forecasting cash flows indefinitely, the model converts all future cash flows beyond the forecast period into a single present value using a perpetual growth assumption.

FCFE Terminal Value Example

The Gordon Growth Model can also be applied to Free Cash Flow to Equity.

Assume:

• Final-year FCFE: $20 million

• Long-term growth rate: 3%

• Cost of equity: 11%

Step 1: Calculate Next-Year FCFE

FCFE₁ = FCFE × (1 + g)

FCFE₁ = $20 million × 1.03

FCFE₁ = $20.6 million

Step 2: Calculate Terminal Equity Value

Terminal Equity Value = FCFE₁ ÷ (Ke − g)

Terminal Equity Value = $20.6 million ÷ (11% − 3%)

Terminal Equity Value = $257.5 million

This represents the equity value at the end of the forecast period. It must be discounted back to the valuation date using the cost of equity.

Dividend Growth Model Example

Assume:

• Current dividend: $2.00 per share

• Long-term dividend growth rate: 4%

• Cost of equity: 9%

Step 1: Calculate the Next Dividend

D₁ = D₀ × (1 + g)

D₁ = $2.00 × 1.04

D₁ = $2.08

Step 2: Calculate the Value per Share

Value per Share = D₁ ÷ (Ke − g)

Value per Share = $2.08 ÷ (9% − 4%)

Value per Share = $41.60

Based on these assumptions, the Gordon Growth Model indicates an estimated value of $41.60 per share.

Gordon Growth Sensitivity Analysis

The Gordon Growth Model is highly sensitive to changes in WACC and the perpetual growth rate.

The following table uses final-year FCFF of $100 million.

WACC	1% Growth	2% Growth	3% Growth	4% Growth
8%	$1,442.9M	$1,700.0M	$2,060.0M	$2,600.0M
9%	$1,262.5M	$1,457.1M	$1,716.7M	$2,080.0M
10%	$1,122.2M	$1,275.0M	$1,471.4M	$1,733.3M
11%	$1,010.0M	$1,133.3M	$1,287.5M	$1,485.7M
12%	$918.2M	$1,020.0M	$1,144.4M	$1,300.0M

The table shows that terminal value increases when the perpetual growth rate rises and decreases when WACC rises.

The valuation becomes especially sensitive when the difference between WACC and the growth rate becomes small. For this reason, valuation professionals should test multiple assumptions instead of relying on a single result.

Variations of the Gordon Growth Model

While the standard model assumes constant growth, growth is rarely constant in practice. Several variations of the Gordon Growth Model account for different growth phases and make the model more adaptable to real-world situations.

• Gordon Constant Growth Model: The basic version with perpetual, stable growth.

• Two-Stage Gordon Growth Model: Accounts for an initial high-growth phase followed by stable growth.

• Adjusted Models: Incorporate changing growth rates or risk factors to improve accuracy.

These variations expand the model’s usability while maintaining its core structure.

Gordon Growth Model vs Exit Multiple Method

Gordon Growth Model	Exit Multiple Method
Based on perpetual growth	Based on market multiples
Uses free cash flow	Uses EBITDA or Revenue
Common in DCF valuation	Common in M&A valuation
Long-term intrinsic value	Market-based valuation

Common Misconceptions About Gordon Growth Model

The Gordon Growth Model is often misunderstood or applied too narrowly. Clarifying these misconceptions helps ensure more accurate and meaningful valuation outcomes.

• “It is only a dividend model”: While the model is commonly introduced using dividends, it is fundamentally a constant-growth perpetuity framework. In practice, it is widely applied to free cash flows such as FCFF and FCFE, particularly in DCF-based valuation.

• Confusion with DCF Models: The Gordon Growth Model is not a complete valuation method on its own. It is a component within the DCF framework, most commonly used to estimate the terminal value.

• Universal Applicability: The model is not suitable for all companies. It is most effective for mature businesses with stable, predictable cash flows and less reliable for high-growth or volatile businesses.

• Over-reliance on Growth Rates: Small changes in the growth rate (g) can significantly impact valuation. Unrealistic or aggressive assumptions can distort results and lead to unreliable conclusions.

Addressing these misconceptions helps ensure the model is applied in the right context, with realistic assumptions and sound judgment.

Common Gordon Growth Model Calculation Errors

Even when the formula appears simple, small calculation errors can materially affect the valuation result.

Common error	Why it is incorrect	Correct treatment
Growth rate equals or exceeds the discount rate	The denominator becomes zero or negative	Keep the perpetual growth rate below WACC or cost of equity
Final-year cash flow is used directly	The formula requires the next-period cash flow	Multiply the final-year cash flow by 1 + g
FCFF is discounted using cost of equity	FCFF is available to both debt and equity holders	Discount FCFF using WACC
FCFE is discounted using WACC	FCFE is available only to equity shareholders	Discount FCFE using cost of equity
Terminal value is not discounted	Terminal value is calculated at the end of the forecast period	Discount terminal value back to the valuation date
Enterprise value is treated as equity value	Cash, debt and other claims have not been considered	Add cash and deduct debt from enterprise value
Stable growth is applied too early	The business may not yet have reached steady-state conditions	Extend the explicit forecast period
An aggressive growth rate is used without support	It can materially overstate terminal value	Support the rate using long-term economic and industry conditions

A terminal value calculation should also be reviewed against market multiples, transaction evidence and the company’s expected long-term financial performance.

Conclusion

The Gordon Growth Formula remains one of the most reliable methods for estimating terminal value in a Discounted Cash Flow (DCF) valuation. While often introduced through dividends, its practical relevance lies in its application to free cash flows, particularly in estimating terminal value within DCF models.

When applied with realistic assumptions and consistent inputs, the model supports informed decision-making across investment analysis, financial reporting, and business valuation. However, its effectiveness depends on the quality of cash flow projections, growth assumptions, and discount rate selection, making context and judgment critical.

At AcumenSphere, valuation is approached with a focus on accuracy, consistency, and regulatory alignment. Whether you require 409A valuation , ASC 820 , ASC 805 , ASC 350 , or commercial valuation services , our team integrates models like the Gordon Growth Model within a comprehensive valuation framework. If you are evaluating your business, planning financial reporting, or assessing investment decisions, you can connect with our team for tailored support. Call us at +1 510 203 9584 or email us at info@acumensphere.com. You can also fill out our contact form , and we’ll guide you through every step.