How To Calculate Terminal Value Using Gordon Growth Model






How to Calculate Terminal Value Using Gordon Growth Model | Finance Calculator


How to Calculate Terminal Value Using Gordon Growth Model

Precisely estimate the exit value of a business or asset using the perpetuity growth method for DCF analysis.


The projected free cash flow for the last year of the forecast period.
Please enter a valid positive number.


The Weighted Average Cost of Capital or required rate of return.
WACC must be greater than the growth rate.


The expected annual growth rate of FCF into perpetuity.
Growth rate must be less than WACC.


Terminal Value (TV)

$1,275,000.00

Projected Year N+1 Cash Flow
$102,000.00
Denominator (WACC – g)
8.00%
TV as Multiple of Year N FCF
12.75x

Formula: TV = [FCFn × (1 + g)] / (WACC – g)

Sensitivity Analysis: TV vs. Growth Rate

This chart shows how Terminal Value increases as the Perpetual Growth Rate approaches the WACC.

What is the Gordon Growth Model for Terminal Value?

Learning how to calculate terminal value using gordon growth model is a fundamental skill for investment bankers, equity researchers, and corporate finance professionals. Terminal value represents the value of a business beyond the explicit forecast period (usually 5-10 years), assuming the company grows at a constant, stable rate forever.

The Gordon Growth Model (GGM), also known as the Perpetuity Growth Model, is one of two primary methods to estimate this value. Unlike the Exit Multiple method, which relies on market comps, the GGM relies on the company’s internal fundamentals—specifically its ability to generate cash flow and its long-term cost of capital.

Who should use this? Anyone involved in discounted cash flow analysis or intrinsic value estimation. Common misconceptions include the idea that you can use a growth rate higher than the economy’s long-term GDP growth rate, which would mathematically result in the company eventually becoming larger than the entire world economy.

How to Calculate Terminal Value Using Gordon Growth Model Formula

The mathematical derivation of how to calculate terminal value using gordon growth model is based on the formula for a growing perpetuity. To find the value at the end of the forecast period, we project the cash flow of the first “non-forecast” year and divide it by the spread between the discount rate and the growth rate.

Variable Meaning Unit Typical Range
FCFn Final Year Free Cash Flow Currency ($) Projected amount
g Perpetual Growth Rate Percentage (%) 1% to 3%
WACC (r) Weighted Avg Cost of Capital Percentage (%) 7% to 12%
TV Terminal Value Currency ($) Resulting Value

Step-by-Step Calculation

  1. Identify the Free Cash Flow of the final forecast year ($FCF_n$).
  2. Determine the long-term stable growth rate ($g$). This usually matches inflation or long-term GDP growth.
  3. Calculate the discount rate (WACC) appropriate for the company’s risk profile.
  4. Apply the formula: TV = [FCFn × (1 + g)] / (WACC – g).

Practical Examples

Example 1: Stable Utility Company

A utility company has a final year FCF of $500,000. We assume a WACC of 8% and a perpetual growth rate of 2%. Using our how to calculate terminal value using gordon growth model approach:

  • Next Year FCF = $500,000 × 1.02 = $510,000
  • Denominator = 0.08 – 0.02 = 0.06
  • TV = $510,000 / 0.06 = $8,500,000

Example 2: Tech Startup Exit

A tech firm reaching maturity has a final year FCF of $2,000,000. WACC is higher at 12%, and growth is 3%.

  • Next Year FCF = $2,000,000 × 1.03 = $2,060,000
  • Denominator = 0.12 – 0.03 = 0.09
  • TV = $2,060,000 / 0.09 = $22,888,889

How to Use This Calculator

  1. Enter FCF: Input the free cash flow from your final projected year in the Discounted Cash Flow analysis.
  2. Set WACC: Enter the discount rate. This represents the hurdle rate investors require.
  3. Select Growth Rate: Input the perpetual growth rate. Ensure this is lower than the WACC to avoid errors.
  4. Read Results: The calculator updates in real-time, showing the Terminal Value and the “Exit Multiple” implied by your GGM calculation.

Key Factors That Affect Terminal Value Results

  • WACC Sensitivity: Small changes in the discount rate have massive impacts on TV. A 1% increase in WACC can slash terminal value by 20% or more.
  • Growth Rate Caps: In a perpetual growth rate model, $g$ cannot exceed the long-term growth of the economy. If it did, the company would eventually absorb the entire economy.
  • Cash Flow Stability: If the final year FCF is an outlier (too high or too low), the TV will be distorted. Analysts often “normalize” this cash flow.
  • The Spread (r – g): As the growth rate approaches the WACC, the denominator approaches zero, causing the TV to explode toward infinity.
  • Time Horizon: The further out the terminal year, the less impact the TV has on the *Present Value* today due to discounting.
  • Tax Considerations: Ensure FCF is calculated after-tax to maintain consistency with the WACC, which is usually an after-tax metric.

Frequently Asked Questions (FAQ)

Why is terminal value often 70-80% of a company’s total DCF value?

Because the terminal value represents all cash flows from the end of year 5 or 10 until infinity. Even when discounted back to the present, the “infinite” nature of those cash flows makes it the largest component of equity valuation methods.

What happens if the growth rate is higher than WACC?

The formula fails. It produces a negative or infinite value. Mathematically, a company cannot grow faster than its discount rate forever; otherwise, its value would be infinite. You must lower your growth assumption.

Is the Gordon Growth Model better than the Exit Multiple method?

Not necessarily. The GGM is more theoretically sound for intrinsic value estimation, but the Exit Multiple method is often preferred in practice because it is based on what the market is currently paying for similar companies.

What is a “reasonable” perpetual growth rate?

Usually 2% to 3%, roughly in line with the long-term inflation target of central banks and real GDP growth.

How does inflation impact terminal value?

Inflation increases both the growth rate (g) and the nominal discount rate (WACC). Generally, if a company can pass costs to customers, inflation helps maintain the real terminal value.

Can I use negative growth rates?

Yes, for companies in declining industries (like coal or traditional print media), a negative perpetual growth rate is a valid assumption in a business valuation guide.

Does this model account for debt?

The GGM calculates the “Enterprise Value” terminal value if you use Unlevered FCF and WACC. To get Equity Value, you would subtract debt and add cash.

Should I use Year 5 or Year 10 for the terminal year?

It depends on when the company reaches a “steady state.” If a company is still growing rapidly at year 5, it’s better to extend the forecast to year 10 before applying the Gordon Growth Model.

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