Cost of Common Equity Calculator (Gordon Model)

A simple and effective tool to determine the required rate of return on an equity investment based on the Gordon Growth Model. Essential for investors, financial analysts, and students.

Gordon Growth Model Calculator

Cost of Equity Sensitivity to Growth Rate

Chart showing how the Cost of Equity changes with different Dividend Growth Rates.

What is the Cost of Common Equity?

The cost of common equity represents the return a company theoretically pays to its equity investors to compensate them for the risk they undertake by investing their capital. It is a critical component in corporate finance, used for everything from capital budgeting decisions with a WACC Calculator to business valuation. One of the most common methods to calculate cost of common equity is using the Gordon Growth Model (GGM), also known as the Dividend Discount Model (DDM).

This model is most suitable for stable, mature companies that pay regular dividends which are expected to grow at a constant rate. The core idea is that a stock’s value is the present value of all its future dividend payments. By rearranging the formula, we can solve for the required rate of return (the cost of equity).

The Gordon Growth Model Formula

The formula to calculate the cost of equity (Ke) using the Gordon Growth Model is simple and elegant:

Ke = (D1 / P0) + g

This formula can be broken down into two main parts: the dividend yield (D1 / P0) and the dividend growth rate (g). The sum of these two components gives the total expected return for a shareholder.

Variable explanations for the Gordon Growth Model.

Variable	Meaning	Unit	Typical Range
Ke	Cost of Common Equity	Percentage (%)	5% – 20%
D1	Expected Dividend Per Share Next Year	Currency (e.g., $)	Depends on company policy
P0	Current Market Price Per Share	Currency (e.g., $)	Varies widely
g	Constant Growth Rate of Dividends	Percentage (%)	0% – 7% (must be less than Ke)

Practical Examples

Understanding the model is easiest with practical examples. Here are a couple of scenarios to illustrate how to calculate cost of common equity using the Gordon Model.

Example 1: A Stable Utility Company

• Inputs:
  • Current Stock Price (P0): $60.00
  • Next Year’s Dividend (D1): $3.00
  • Dividend Growth Rate (g): 4%
• Calculation:
  • Dividend Yield = $3.00 / $60.00 = 0.05 or 5.0%
  • Cost of Equity (Ke) = 5.0% + 4% = 9.0%
• Result: The expected return for shareholders is 9.0%.

Example 2: A Mature Consumer Goods Company

• Inputs:
  • Current Stock Price (P0): $120.00
  • Next Year’s Dividend (D1): $2.40
  • Dividend Growth Rate (g): 6.5%
• Calculation:
  • Dividend Yield = $2.40 / $120.00 = 0.02 or 2.0%
  • Cost of Equity (Ke) = 2.0% + 6.5% = 8.5%
• Result: The cost of equity for this company is 8.5%. This is a key input for a Stock Valuation Tool.

How to Use This Gordon Growth Model Calculator

Using our calculator is straightforward. Follow these steps for an accurate calculation:

1. Enter Next Year’s Dividend (D1): Input the total dividend per share you expect the company to pay out over the next full year. This is not the last dividend paid, but the forecasted one.
2. Enter Current Stock Price (P0): Input the current market value of one share of the stock.
3. Enter Dividend Growth Rate (g): Provide the constant rate at which you expect dividends to grow indefinitely. This must be a reasonable, long-term rate, typically not much higher than the overall economy’s growth rate.
4. Interpret the Results: The calculator automatically provides the primary result, the Cost of Equity (Ke), along with the intermediate value of the Dividend Yield. The chart also updates to show how sensitive the result is to changes in the growth rate. A higher cost of equity implies investors require a higher return for the risk involved. For a broader view of company finance, this can be compared with results from a Required Rate of Return Calculator.

Key Factors That Affect Cost of Equity

Several factors can influence the cost of common equity. Understanding them provides deeper insight into the valuation.

• Dividend Policy: A company’s willingness and ability to pay dividends is the foundation of this model. A change in policy directly impacts D1.
• Company Stability and Profitability: More stable and profitable companies can support a more reliable dividend and growth rate (g), often leading to a lower cost of equity.
• Market Volatility: The current stock price (P0) is heavily influenced by market sentiment and volatility. A lower stock price, all else being equal, increases the cost of equity.
• Economic Growth: The perpetual growth rate (g) is fundamentally tied to the long-term growth prospects of the company and the economy as a whole. It cannot realistically exceed the long-term economic growth rate.
• Interest Rates: General interest rates in the economy set a baseline for all investment returns. If risk-free rates rise, investors will demand a higher return from equities, increasing the cost of equity.
• Industry Risk: The risk profile of the company’s industry affects investor expectations. A riskier industry will generally command a higher cost of equity. This is also a factor in the Capital Asset Pricing Model (CAPM).

Frequently Asked Questions (FAQ)

1. What if a company doesn’t pay dividends?

The Gordon Growth Model cannot be used to calculate the cost of equity for companies that do not pay dividends. In such cases, other models like the Capital Asset Pricing Model (CAPM) are more appropriate.

2. What is a “reasonable” dividend growth rate (g)?

A reasonable long-term growth rate is typically between the rate of inflation and the long-term GDP growth rate of the country (e.g., 2-5% for a developed economy). A growth rate higher than the cost of equity is mathematically impossible in this model.

3. Why must the growth rate (g) be less than the cost of equity (Ke)?

If ‘g’ were greater than or equal to ‘Ke’, the denominator in the valuation formula `P0 = D1 / (Ke – g)` would be zero or negative, implying an infinite or nonsensical stock price. This reflects the model’s limitation to valuing stable, mature companies.

4. How does the Cost of Equity relate to WACC?

The cost of equity is a primary component of the Weighted Average Cost of Capital (WACC). WACC blends the cost of equity with the cost of debt to determine a firm’s total cost of capital. You might find a WACC Calculator useful for this next step.

5. Is a higher cost of equity better?

Not necessarily. From a company’s perspective, a lower cost of equity is better as it means it’s cheaper to raise capital. From an investor’s perspective, a higher cost of equity signifies a higher required return to compensate for higher perceived risk.

6. What’s the difference between D0 and D1?

D0 is the most recent dividend that has just been paid. D1 is the *expected* dividend for the next period. The formula specifically requires D1. If you only have D0, you can calculate D1 using the formula: D1 = D0 * (1 + g).

7. Are the units important for price and dividend?

As long as the currency unit for the Current Stock Price (P0) and the Annual Dividend (D1) is the same (e.g., both are in USD), the unit itself cancels out when calculating the dividend yield. The result (Cost of Equity) is always a percentage.

8. What are the main limitations of this model?

The primary limitations are its assumption of a constant dividend growth rate, its inapplicability to non-dividend-paying stocks, and its high sensitivity to the ‘g’ and ‘Ke’ inputs. It’s best used for stable, mature firms and in conjunction with other valuation methods like the DCF Valuation Model.