How do we calculate Terminal Value in a DCF?

Oct 20 / themodelingschool

How Do We Calculate Terminal Value in a Discounted Cash Flow (DCF) Model?

Terminal Value (TV) represents the value of a company beyond the explicit forecast period in a Discounted Cash Flow (DCF) model. It captures the bulk of a company’s total value and reflects the assumption that the business will continue generating cash flows indefinitely. Terminal Value is critical for valuing long-term assets since predicting cash flows into perpetuity is impractical.


Why Do We Need Terminal Value?

In a DCF analysis, we project a company’s cash flows for a specific forecast period, typically between 5 to 10 years. However, businesses generally operate beyond this finite period, and the Terminal Value estimates the value of all future cash flows after the forecast period ends. It helps us account for the value of a company’s operations after the detailed forecast period, ensuring that the DCF model reflects the company’s true worth.


Methods to Calculate Terminal Value

There are two common methods for calculating Terminal Value in a DCF:
1. Perpetuity Growth Model (Gordon Growth Model)
2. Exit Multiple Method

Perpetuity Growth Model
The Perpetuity Growth Model assumes that a company’s free cash flows will grow at a constant rate indefinitely. This method is often used when the business is stable and expected to grow at a steady rate over the long term.

- Perpetuity Growth Formula:
  Terminal Value (TV) = (FCF * (1 + g)) / (r - g)
 
Where:
  - FCF = Free Cash Flow in the final forecast year
  - g = Growth rate of free cash flows (usually a modest rate, such as inflation or GDP growth rate)
  - r = Discount rate (usually the Weighted Average Cost of Capital (WACC))

Example:
Let’s assume Company A has a Free Cash Flow of $100 million in the final forecast year, a growth rate (g) of 2%, and a discount rate (r) of 10%.
- TV = (100M * (1 + 0.02)) / (0.10 - 0.02)
- TV = (102M) / (0.08)
- TV = $1.275 billion

In this example, the Terminal Value is $1.275 billion, representing the value of Company A’s cash flows beyond the forecast period, assuming they grow at 2% indefinitely.

Exit Multiple Method
The Exit Multiple Method assumes that the business will be valued similarly to other comparable companies in the industry, using a valuation multiple. This method is particularly useful when there is a well-established market for similar businesses that allows us to determine an appropriate multiple.

- Exit Multiple Formula:
  Terminal Value (TV) = Final Year Metric (e.g., EBITDA) * Exit Multiple

The Exit Multiple is typically based on comparable company analysis or industry standards. Common multiples used include EV/EBITDA, EV/EBIT, or P/E multiples.

Example:
Assume Company A has an EBITDA of $150 million in the final forecast year, and the Exit Multiple for similar companies in the industry is 8x.
- TV = 150M * 8
- TV = $1.2 billion

In this example, the Terminal Value using the Exit Multiple method is $1.2 billion, representing the valuation of Company A based on similar industry players.


Which Method to Use?

1. Perpetuity Growth Model:
   - Suitable for stable, mature companies expected to grow steadily over time.
   - The growth rate (g) should be conservative, often equal to or lower than the expected long-term GDP growth rate or inflation rate.

2. Exit Multiple Method:
   - More commonly used when there are reliable comparables available, and when a company operates in an industry where businesses are typically bought and sold at market multiples.
   - The multiple used should be based on current market conditions and similar companies.


Discounting Terminal Value

After calculating the Terminal Value using either method, it is important to discount it back to the present value, as it represents the value at the end of the forecast period. The discount rate used is typically the company’s WACC.

- Present Value of Terminal Value (PV of TV):
  PV of TV = Terminal Value / (1 + WACC) ^ n
  Where:
  - n = Number of years in the forecast period

Example
:
Using the Perpetuity Growth Model example above, where TV = $1.275 billion, if the WACC is 10% and the forecast period is 5 years:
- PV of TV = 1.275B / (1 + 0.10)^5
- PV of TV ≈ $791.58 million


Importance of Terminal Value

- Significant Contribution:
  Terminal Value often makes up a large portion of the total value in a DCF analysis, sometimes as much as 60-80%. This makes it crucial to calculate it accurately, as small changes in assumptions can have a major impact on the overall valuation.

- Long-Term Perspective:
  Terminal Value helps in incorporating the value of all future cash flows beyond the forecast period, providing a more comprehensive picture of the company’s valuation.


Key Considerations

1. Sensitivity Analysis:
   - Since Terminal Value contributes significantly to the total DCF valuation, conducting a sensitivity analysis on the growth rate, discount rate, or exit multiple can help understand how changes in these assumptions affect the valuation.

2. Realistic Assumptions:
   - The growth rate used in the Perpetuity Growth Model should be realistic and not exceed the long-term growth of the economy. Overestimating growth can lead to an inflated Terminal Value.

3. Choice of Method:
   - The choice between the Perpetuity Growth Model and the Exit Multiple Method depends on the nature of the company and the availability of reliable data. It’s common to calculate Terminal Value using both methods and compare the results for a more informed valuation.


Conclusion

Terminal Value is a key component of the Discounted Cash Flow (DCF) model that helps capture the value of a company beyond the forecast period. It can be calculated using either the Perpetuity Growth Model or the Exit Multiple Method, each suited to different business situations. The Terminal Value provides insight into the company’s long-term cash-generating ability and is a major factor in determining the overall valuation. Understanding the importance of Terminal Value and how to calculate it accurately is crucial for creating a robust DCF model.


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