Calculate the Cost of Equity Using the Constant Growth Model

A professional tool for investors and corporate finance professionals to estimate the cost of common equity based on dividend expectations.

Table 1: Impact of Growth Rate on Cost of Equity

Growth Rate (%)	Projected Dividend ($D_1$)	Dividend Yield (%)	Cost of Equity (%)

What is it to Calculate the Cost of Equity Using the Constant Growth Model?

To calculate the cost of equity using the constant growth model is a fundamental exercise in stock valuation and corporate finance. Also known as the Gordon Growth Model (GGM), this approach assumes that dividends grow at a constant rate forever. For an investor, the cost of equity represents the minimum rate of return required to justify the risk of holding a particular stock. For a corporation, it represents the cost of financing projects through equity issuance.

Many financial analysts prefer this model because of its simplicity and focus on tangible cash flows (dividends). Unlike the capital asset pricing model which relies on market risk (Beta), the constant growth model relies on the direct relationship between stock price, current dividends, and future growth.

One common misconception is that this model works for all companies. In reality, it is best suited for mature firms with stable dividend policies. High-growth tech companies that reinvest all profits and pay no dividends cannot be analyzed using this specific framework alone.

Calculate the Cost of Equity Using the Constant Growth Model Formula

The mathematical derivation starts with the idea that the price of a stock is the present value of all future dividends. When you calculate the cost of equity using the constant growth model, you are essentially solving for the internal rate of return ($r_e$) in the formula:

$r_e = \frac{D_1}{P_0} + g$

Where $D_1 = D_0 \times (1 + g)$. This formula splits the total return into two distinct parts: the Dividend Yield ($D_1/P_0$) and the Growth Rate ($g$).

Variable	Meaning	Unit	Typical Range
$P_0$	Current Market Price	Currency ($)	$1.00 – $5,000.00
$D_0$	Most Recent Dividend	Currency ($)	$0.00 – $20.00
$g$	Constant Growth Rate	Percentage (%)	1% – 7%
$r_e$	Cost of Equity	Percentage (%)	7% – 15%

Practical Examples (Real-World Use Cases)

Example 1: The Stable Utility Provider

Imagine a utility company, “SafePower Corp,” trading at $60.00. They just paid an annual dividend ($D_0$) of $3.00. Historically, their dividends grow at a steady 3% annually. To calculate the cost of equity using the constant growth model for SafePower:

• $D_1 = \$3.00 \times (1 + 0.03) = \$3.09$
• Dividend Yield = $\$3.09 / \$60.00 = 5.15\%$
• $r_e = 5.15\% + 3\% = 8.15\%$

Interpretation: Investors require an 8.15% return to hold SafePower equity.

Example 2: The Blue-Chip Consumer Staple

A consumer goods firm trades at $120.00 and pays a $4.00 dividend. Analysts expect a perpetual growth rate of 6%. When we calculate the cost of equity using the constant growth model:

• $D_1 = \$4.00 \times 1.06 = \$4.24$
• Dividend Yield = $\$4.24 / \$120.00 = 3.53\%$
• $r_e = 3.53\% + 6\% = 9.53\%$

How to Use This Cost of Equity Calculator

To accurately calculate the cost of equity using the constant growth model with our tool, follow these steps:

1. Current Stock Price: Look up the ticker symbol on a financial news site and enter the “Last” or “Close” price.
2. Recent Dividend: Enter the sum of dividends paid over the last four quarters.
3. Growth Rate: Enter the expected long-term growth rate. This should not exceed the long-term GDP growth rate of the economy (typically 2-4%) unless the company has a sustainable competitive advantage.
4. Review Results: The tool will automatically display the estimated cost of equity and break down the components.

Key Factors That Affect Cost of Equity Results

1. Dividend Policy: If a company increases its payout ratio, it might signal stability but could lower future growth ($g$).
2. Market Interest Rates: As risk-free rates rise, investors demand higher returns, which indirectly affects the equity risk premium.
3. Inflation: High inflation usually leads to higher nominal growth rates but also higher required returns.
4. Company Size: Smaller firms often have higher growth rates but also higher risk, impacting the result when you calculate the cost of equity using the constant growth model.
5. Industry Stability: Regulated industries (like utilities) have more predictable growth rates compared to cyclical industries.
6. Capital Structure: Higher debt levels increase the risk to equity holders, which should be reflected in a higher required return.

Frequently Asked Questions (FAQ)

1. Can the growth rate be higher than the cost of equity?

Mathematically, no. In the Gordon Growth Model, if $g > r_e$, the formula results in a negative stock price, which is impossible. The model assumes $g < r_e$.

2. What happens if a company doesn’t pay dividends?

You cannot calculate the cost of equity using the constant growth model for non-dividend-paying stocks. In those cases, use the capital asset pricing model.

3. Is $D_1$ the same as $D_0$?

No. $D_0$ is the dividend already paid. $D_1$ is the expected dividend for the next period, which includes one period of growth.

4. How do I estimate the growth rate ($g$)?

Typically, analysts use the retention ratio multiplied by the Return on Equity (ROE), or look at historical dividend growth trends.

5. Why is the cost of equity important for WACC?

The cost of equity is a major component of the weighted average cost of capital, which firms use to discount future cash flows for project appraisal.

6. Does this model account for stock buybacks?

Strictly speaking, the basic model doesn’t. However, some analysts adjust the dividend figure to include share repurchases as a form of cash return.

7. How does the stock price affect the cost of equity?

There is an inverse relationship. If the stock price drops while dividends and growth remain the same, the cost of equity (required return) increases.

8. What is a “reasonable” growth rate?

For most mature companies, a growth rate between 2% and 5% is standard. Anything above 7% for a perpetual model is usually considered unrealistic.

Related Tools and Internal Resources

• Dividend Discount Model Calculator – Calculate the intrinsic value of a stock based on future dividends.
• Gordon Growth Model Guide – A deep dive into the theory and assumptions behind the constant growth formula.
• Equity Risk Premium Analysis – Understanding the extra return investors demand for taking on stock market risk.
• CAPM Calculator – An alternative way to estimate the cost of equity using Beta and market returns.
• Intrinsic Value Calculator – Compare market prices with calculated fundamental values.
• WACC Calculator – Determine the total cost of capital for a business including debt and equity.