Institute of Equity.

DCF Terminal Value Math

Understanding how 70% of a company's modeled value is calculated, and why the Gordon Growth Model and Exit Multiple methods must cross-validate.

The Premise of a DCF

A Discounted Cash Flow (DCF) model asserts that the value of an asset is the present value of all future free cash flows it will produce. Because we cannot project cash flows infinitely into the future with any accuracy, we split the valuation into two parts:

  1. The Projection Period: Typically 5 to 10 years of explicit cash flow forecasts.
  2. The Terminal Value: The value of all cash flows beyond the projection period.

The Terminal Value Problem

In most DCF models for mature companies, the Terminal Value accounts for 60% to 80% of the total Present Value. This makes the DCF highly sensitive to the assumptions used to calculate it.

There are two primary methods to calculate Terminal Value (TV):

1. Perpetuity Growth Method (Gordon Growth Model)

This method assumes that the company's free cash flow will grow at a constant rate forever. The rate (g) should not exceed the long-term growth rate of the economy (typically 2-3%), otherwise, the company would eventually eclipse the global economy.

Terminal Value = [ FCF_final_year × (1 + g) ] / (WACC - g)

Where:
FCF_final_year = Free Cash Flow in the last year of the projection period
g = Perpetual growth rate
WACC = Weighted Average Cost of Capital (Discount Rate)

2. Exit Multiple Method

This method assumes the business is sold at the end of the projection period. The value is calculated by applying a market multiple (usually EV/EBITDA) to the relevant financial metric in the final year.

Terminal Value = EBITDA_final_year × Exit Multiple

Discounting to Present Value

Crucially, the Terminal Value calculated using either method represents the value of the firm at the end of the projection period. It must be discounted back to Present Value (PV) using the discount factor for that final year.

PV of Terminal Value = Terminal Value / (1 + WACC)^n

Where 'n' is the final year of the projection period.

The Implied Growth Rate Sanity Check

Best practice is to use both methods and check them against each other. If you use the Exit Multiple method, you should calculate the Implied Perpetuity Growth Rate to ensure the multiple isn't assuming impossible perpetual growth. Conversely, if using the Perpetuity Growth method, check the Implied Exit Multiple to ensure it aligns with historical trading ranges.