Calculate The Cost Of Equity Using The Constant Growth Model

Calculate the cost of equity using the constant growth model (Gordon Growth Model)

Summary Table: Component Breakdown for Calculate the Cost of Equity Using the Constant Growth Model

Metric	Formula Variable	Value
Next Year Dividend	D1	$2.50
Current Market Price	P0	$50.00
Dividend Growth Rate	g	5.00%
Calculated Cost of Equity	Ke	10.00%

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

To calculate the cost of equity using the constant growth model is to determine the rate of return a company must provide to its shareholders in exchange for their investment, assuming dividends grow at a steady rate indefinitely. This method, often referred to as the Gordon Growth Model (GGM), is a fundamental pillar of corporate finance and equity valuation.

Investors and financial analysts use this model to evaluate whether a stock is fairly priced or to determine the discount rate for future cash flows. It is particularly useful for mature companies with stable, predictable dividend policies. A common misconception is that this model can be applied to all stocks; however, it is strictly designed for firms where the assumption of “constant growth” actually holds true over the long term.

Calculate the Cost of Equity Using the Constant Growth Model Formula

The mathematical foundation to calculate the cost of equity using the constant growth model is straightforward but requires precise inputs. The formula is expressed as:

K_e = (D₁ / P₀) + g

Where K_e represents the cost of equity. To successfully calculate the cost of equity using the constant growth model, you must understand each component:

Variable	Meaning	Unit	Typical Range
Ke	Cost of Equity	Percentage (%)	7% – 15%
D1	Expected Dividend next year	Currency ($)	Varies by stock
P0	Current Stock Price	Currency ($)	Market Price
g	Constant Growth Rate	Percentage (%)	2% – 6%

Practical Examples (Real-World Use Cases)

Let’s look at how to calculate the cost of equity using the constant growth model in real scenarios.

Example 1: The Stable Utility Provider

Imagine “UtilityCorp” is currently trading at $60.00 per share. They just announced that next year’s dividend is expected to be $3.00. Historically, their dividends grow at a stable rate of 4% per year. To calculate the cost of equity using the constant growth model:

• Dividend Yield = $3.00 / $60.00 = 0.05 (or 5%)
• Growth Rate = 4%
• Total Cost of Equity = 5% + 4% = 9%

Interpretation: Shareholders require a 9% return to hold UtilityCorp’s stock.

Example 2: The Mature Consumer Goods Brand

A brand like “GlobalBev” has a stock price of $120.00. The projected dividend for next year is $4.80, with an expected growth rate of 6%. To calculate the cost of equity using the constant growth model:

• Dividend Yield = $4.80 / $120.00 = 0.04 (or 4%)
• Growth Rate = 6%
• Total Cost of Equity = 4% + 6% = 10%

How to Use This Calculator

Using our tool to calculate the cost of equity using the constant growth model is simple and instantaneous:

1. Enter the Expected Dividend (D1): Look for the dividend per share forecast for the upcoming fiscal year.
2. Input the Current Price (P0): Use the live market price of the stock.
3. Define the Growth Rate (g): Input the sustainable, long-term growth rate of the dividends.
4. Analyze the Results: The calculator will immediately show the total cost of equity and break it down into the dividend yield and growth components.

Key Factors That Affect Cost of Equity Results

When you calculate the cost of equity using the constant growth model, several external and internal factors influence the final percentage:

• Market Interest Rates: As risk-free rates (like Treasury yields) rise, investors demand higher returns from equities, generally increasing the cost of equity.
• Company Risk Profile: Higher perceived business risk usually correlates with lower stock prices (P0), which increases the dividend yield and the overall cost of equity.
• Inflation Expectations: High inflation often leads to higher growth rates (g) as companies raise prices, but it also increases the discount rates applied by investors.
• Dividend Policy: A company’s decision to retain earnings rather than pay dividends reduces D1 but might increase g if the reinvestment is profitable.
• Economic Growth: Broad economic expansion supports higher constant growth rates (g) for mature firms.
• Sector Stability: Regulated industries often have lower growth rates but higher, more stable dividend payouts.

Frequently Asked Questions (FAQ)

1. Can I calculate the cost of equity using the constant growth model for a non-dividend paying stock?

No. This model requires a dividend. For stocks that do not pay dividends, analysts typically use the Capital Asset Pricing Model (CAPM) or the Fama-French model.

2. What happens if the growth rate is higher than the cost of equity?

The Gordon Growth Model becomes mathematically invalid if g ≥ Ke, as it results in a negative or infinite stock price. In reality, no company can grow faster than the overall economy indefinitely.

3. Is the constant growth model accurate for tech startups?

Rarely. Startups often have volatile growth or zero dividends, making it impossible to calculate the cost of equity using the constant growth model accurately for them.

4. Where do I find the ‘g’ (growth rate)?

Analysts often use the historical CAGR of dividends or the “retention ratio multiplied by return on equity” (ROE × b) to estimate the sustainable growth rate.

5. Why does the stock price affect the cost of equity?

The stock price represents what you pay for future cash flows. A lower price for the same dividend means a higher yield, thus a higher cost of equity to the firm.

6. Does this model account for taxes?

The basic model calculates the pre-personal-tax cost of equity. From the company’s perspective, equity dividends are not tax-deductible, unlike interest on debt.

7. How often should I calculate the cost of equity using the constant growth model?

Since market prices (P0) change daily, the cost of equity fluctuates. It should be recalculated whenever performing a new valuation or capital budgeting analysis.

8. What is the difference between cost of equity and WACC?

Cost of equity is only for the equity portion of a company’s capital. WACC (Weighted Average Cost of Capital) includes both debt and equity costs.

Related Tools and Internal Resources

• CAPM Calculator: An alternative way to calculate equity costs using beta and market risk premium.
• WACC Calculator: Combine your cost of equity with the cost of debt for a full firm valuation.
• Dividend Discount Model Tool: Use the same inputs to find the intrinsic value of a share.
• Sustainable Growth Rate Estimator: Calculate ‘g’ using ROE and retention ratios.
• Equity Risk Premium Guide: Understand the additional return investors demand over risk-free assets.
• Financial Ratio Guide: Learn how dividends and stock prices interact in financial reporting.