Terminal Value Calculator: Decimals or Percent?

Instantly calculate terminal value and understand the critical difference between using decimals and percentages in financial modeling. Avoid common errors and ensure your valuation is accurate.

What is Terminal Value and Why Does the Decimal vs. Percent Question Matter?

Terminal value (TV) is one of the most critical components of a Discounted Cash Flow (DCF) valuation model. It represents the estimated value of a company for all the years beyond the explicit forecast period (typically 5-10 years). Since the terminal value can often account for over 75% of a company’s total estimated worth, getting it right is crucial.

The core question of whether to use decimals or percent when calculating terminal value is a common point of confusion for students and junior analysts. The answer is simple: the mathematical formula always uses the decimal form of the rates. However, financial models often use percentages for user input because they are more intuitive to read (e.g., “3%” is easier to understand than “0.03”). This calculator is designed to demonstrate that distinction and show how to correctly convert between the two to ensure your calculation is accurate.

The Terminal Value Formula: Decimals are Mandatory

The most common method for calculating terminal value is the Gordon Growth Model (or Perpetuity Growth Method). It assumes the company will continue to grow at a stable, constant rate forever. The formula is:

TV = [FCF * (1 + g)] / (r – g)

Here, every variable that is a rate (g and r) must be in decimal form for the math to work. If you use a percentage (e.g., 8 for 8%), your result will be drastically wrong.

Description of variables in the Terminal Value formula.

Variable	Meaning	Required Unit for Calculation	Typical Range
FCF	Final Year’s Free Cash Flow	Currency (e.g., $, €)	Varies by company
g	Perpetual Growth Rate	Decimal (e.g., 0.025 for 2.5%)	1% – 4% (must be less than r and typically not higher than long-term GDP growth)
r	Discount Rate (WACC)	Decimal (e.g., 0.08 for 8%)	6% – 12% (depends on risk)

Practical Examples: Proving the Concept

Example 1: Using Percentages as Input

Let’s say an analyst has the following assumptions and inputs them as percentages:

• Final Year FCF = $10,000,000
• Perpetual Growth Rate (g) = 3%
• Discount Rate (r) = 9%

Before calculation, the software (or analyst) MUST convert the rates: g = 0.03 and r = 0.09. Learn more about DCF models.

TV = [$10,000,000 * (1 + 0.03)] / (0.09 – 0.03)
TV = $10,300,000 / 0.06
TV = $171,666,667

Example 2: Using Decimals as Input

Now, let’s say another analyst inputs the rates directly as decimals:

• Final Year FCF = $10,000,000
• Perpetual Growth Rate (g) = 0.03
• Discount Rate (r) = 0.09

Since the inputs are already in the correct format, they can be used directly in the formula, yielding the exact same result.

TV = [$10,000,000 * (1 + 0.03)] / (0.09 – 0.03)
TV = $171,666,667

This demonstrates that the input format is a matter of user convenience, but the underlying calculation must always use decimals. This is a key aspect of advanced financial modeling.

How to Use This Terminal Value Calculator

1. Enter Free Cash Flow: Input the projected free cash flow for the final year of your explicit forecast period.
2. Select Rate Format: Choose whether you prefer to enter the growth and discount rates as percentages (e.g., 2.5) or as decimals (e.g., 0.025). The calculator handles the conversion for you.
3. Input Growth Rate (g): Enter the perpetual growth rate. This should be a low, sustainable number.
4. Input Discount Rate (r): Enter the Weighted Average Cost of Capital (WACC). This must be higher than the growth rate.
5. Review the Results: The calculator instantly shows the final Terminal Value. More importantly, check the “Intermediate Calculation Steps” to see the decimal values used in the formula. This reinforces the core concept.
6. Analyze the Chart: The sensitivity chart shows how much the Terminal Value can swing based on small changes to the growth rate, highlighting the importance of this assumption.

Key Factors That Affect Terminal Value

• Perpetual Growth Rate (g): This is arguably the most sensitive input. A small change in ‘g’ can lead to a massive change in terminal value, as shown in the sensitivity chart on this page.
• Discount Rate (r / WACC): A higher discount rate implies more risk and results in a lower terminal value, and vice versa.
• Final Year FCF Projection: The terminal value is a multiple of this number. Any inaccuracies in the base FCF projection will be magnified.
• The Spread (r – g): The difference between the discount rate and the growth rate is the denominator of the formula. A smaller spread leads to a much higher terminal value. If g is greater than or equal to r, the formula breaks, resulting in a negative or infinite value.
• Macroeconomic Assumptions: The growth rate is often tied to long-term inflation and GDP growth forecasts. Changes in these macroeconomic outlooks should influence your choice of ‘g’. For help with these assumptions, see our guide on economic indicators.
• Company Maturity: The terminal value calculation assumes the company is in a “steady state.” If the company is still in a high-growth phase at the end of the forecast period, the model may be less accurate.

Frequently Asked Questions (FAQ)

1. Should I always use decimals when calculating terminal value by hand?

Yes. The mathematical formula requires decimals. Always convert any percentage rates to their decimal equivalent (e.g., 5% becomes 0.05) before applying the formula.

2. What happens if my growth rate (g) is higher than my discount rate (r)?

Mathematically, this would result in a negative denominator, leading to a negative terminal value, which is nonsensical. Conceptually, it implies that a company can grow faster than its cost of capital forever, which is not sustainable in a competitive market. You must ensure r > g.

3. Why is terminal value so important?

Because it often represents a huge portion (sometimes over 75%) of a company’s total value in a DCF model. The assumptions you make about long-term growth have a massive impact on the final valuation.

4. How do I choose a reasonable perpetual growth rate (g)?

A reasonable ‘g’ is typically between the long-term inflation rate (around 2-3%) and the long-term nominal GDP growth rate (around 3-5%). A rate higher than GDP growth implies you believe the company will outgrow the entire economy forever, which is a very aggressive assumption. Check out our growth rate analysis tool.

5. How do I convert a percentage to a decimal?

Simply divide the percentage number by 100. For example, 2.5% / 100 = 0.025.

6. Is the Gordon Growth Model the only way to calculate terminal value?

No, the other common method is the Exit Multiple Method, where you apply a valuation multiple (like EV/EBITDA) to the final year’s earnings. Both methods are often used to cross-check each other. Our valuation multiples guide covers this in detail.

7. What does a negative terminal value mean?

It typically indicates an error in your assumptions, most commonly that your growth rate ‘g’ is higher than your discount rate ‘r’. It’s a signal to re-evaluate your inputs.

8. Where does the Weighted Average Cost of Capital (WACC) come from?

WACC is a complex calculation on its own, representing the blended cost of a company’s equity and debt. It is a key input for any DCF analysis. We have a dedicated WACC calculator to help you with this.