How to Calculate Terminal Value Using Gordon Growth Model

Professional Perpetual Growth Valuation Calculator

Growth Rate (%)	Terminal Value ($)	PV of Terminal Value ($)	Implied Multiple

*Table shows variations in Terminal Value based on shifting the perpetual growth rate.

What is How to Calculate Terminal Value Using Gordon Growth Model?

When performing a Discounted Cash Flow (DCF) analysis, the explicit forecast period usually only covers 5 to 10 years. However, businesses are assumed to be “going concerns” that exist indefinitely. This is where how to calculate terminal value using gordon growth model becomes essential. The Gordon Growth Model (GGM) assumes that the company’s free cash flows will grow at a stable, constant rate forever.

Investors and analysts use this method because it simplifies the complex task of forecasting decades into the future. By determining a sustainable perpetual growth rate, usually tied to GDP growth or inflation, one can capture the remaining value of the business beyond the forecast horizon. Common misconceptions include using a growth rate higher than the economy’s growth rate, which would mathematically imply the company eventually becomes larger than the entire global economy.

How to Calculate Terminal Value Using Gordon Growth Model: Formula and Mathematical Explanation

The mathematical derivation of the Gordon Growth Model is based on the sum of an infinite geometric series. To understand how to calculate terminal value using gordon growth model, you must apply the following formula:

TV = [FCF_n × (1 + g)] / (WACC – g)

Variable	Meaning	Unit	Typical Range
FCFn	Free Cash Flow in Final Forecast Year	Currency ($)	Variable
g	Perpetual Growth Rate	Percentage (%)	1% – 3%
WACC	Weighted Average Cost of Capital	Percentage (%)	7% – 12%
TV	Terminal Value (at end of forecast)	Currency ($)	Result

Practical Examples (Real-World Use Cases)

Example 1: Mature Blue-Chip Company

Imagine a utility company with a Year 5 FCF of $500 million. The WACC is estimated at 8%, and the perpetual growth rate is 2% (in line with long-term inflation). Applying the formula for how to calculate terminal value using gordon growth model:

• FCF₆ = $500M * (1 + 0.02) = $510M
• TV = $510M / (0.08 – 0.02) = $510M / 0.06 = $8.5 Billion

This $8.5 billion represents the value of all cash flows from Year 6 to infinity, as seen from the perspective of Year 5.

Example 2: High-Growth Tech Startup

A tech firm has a Year 10 FCF of $50 million. Because tech is riskier, the WACC is 12%. The long-term growth rate is 3%. Calculation:

• FCF₁₁ = $50M * 1.03 = $51.5M
• TV = $51.5M / (0.12 – 0.03) = $51.5M / 0.09 = $572.2 Million

How to Use This Terminal Value Calculator

1. Enter Final Year FCF: Input the free cash flow from the last year of your projection.
2. Define WACC: Enter your discount rate. Ensure this reflects the risk profile of the business.
3. Set Growth Rate: Choose a perpetual growth rate. It must be lower than the WACC for the math to work.
4. Specify Years: Enter the number of years in your forecast to calculate the Present Value of the terminal value.
5. Analyze Results: Review the primary Terminal Value and the implied multiple to ensure they pass a “sanity check.”

Key Factors That Affect Terminal Value Results

• WACC Sensitivity: Small changes in the discount rate have massive impacts on the final value. A 1% increase in WACC can decrease terminal value by 20% or more.
• Perpetual Growth Rate: This should never exceed the long-term GDP growth rate of the economy where the company operates.
• FCF Normalization: The final year cash flow must be a “steady state” number, not an outlier.
• Convergence: The model assumes the company has reached maturity by the end of the forecast period.
• Inflation: The growth rate (g) is often viewed as a combination of real growth and inflation.
• Capital Reinvestment: The FCF used must account for the capital expenditures required to sustain the perpetual growth rate.

Frequently Asked Questions (FAQ)

Can the growth rate be higher than WACC?
No. Mathematically, the formula would result in a negative or infinite value. Economically, no company can grow faster than its cost of capital forever.

What is a reasonable perpetual growth rate?
Usually, 2% to 3% is standard, as it aligns with historical inflation and developed-market GDP growth.

Is Gordon Growth better than the Exit Multiple method?
Neither is “better.” Most analysts use how to calculate terminal value using gordon growth model as a cross-check against the exit multiple method.

Why do we discount the Terminal Value?
The formula gives the value at the end of the forecast period. To find what that is worth today, we must discount it back using the WACC.

What if my FCF is negative in the final year?
The Gordon Growth Model cannot be used reliably with negative cash flows. You must extend the forecast until the company reaches positive, stable cash flows.

Does this model account for debt?
If you use FCF to the Firm (FCFF), it calculates Enterprise Value. If you use FCF to Equity (FCFE) and the Cost of Equity, it calculates Equity Value.

How does inflation affect the result?
Higher inflation generally leads to a higher nominal growth rate and a higher nominal WACC, which often offset each other to some extent.

Is the GGM appropriate for cyclical industries?
Only if the “final year FCF” represents a mid-cycle, normalized level of earnings.

Related Tools and Internal Resources

• DCF Valuation Model – A complete guide on building a full discounted cash flow model.
• WACC Calculator – Calculate your weighted average cost of capital step-by-step.
• Enterprise Value vs Equity Value – Understand the difference between firm-level and shareholder-level valuation.
• Cost of Equity Tool – Determine the required return for shareholders using CAPM.
• Net Present Value Guide – Learn how to discount various cash flow streams.
• Internal Rate of Return (IRR) – Evaluate the profitability of your potential investments.