Gordon Growth Model Calculator

Calculate the Cost of Equity using the Gordon Growth Model (a variant of the Dividend Discount Model). This tool helps investors and analysts estimate the required rate of return on an investment in a company’s stock, assuming dividends grow at a constant rate indefinitely.

Gordon Growth Model Inputs

What is the Cost of Equity using the Gordon Growth Model?

The Cost of Equity, often calculated using the Gordon Growth Model (also known as the Dividend Discount Model or DDM), represents the return a company requires to justify investing in its stock. In simpler terms, it’s the rate of return that equity investors demand for providing capital to a company. This cost is critical for companies making investment decisions, as projects undertaken should ideally yield returns higher than this cost of equity to create shareholder value. The Gordon Growth Model specifically focuses on dividend-paying stocks, assuming that dividends will grow at a constant rate indefinitely.

Who should use it: This model is most applicable to mature, stable companies that have a consistent history of paying dividends and are expected to continue doing so with predictable growth. It’s a valuable tool for:

• Financial analysts and portfolio managers
• Investors evaluating dividend-paying stocks
• Companies determining their weighted average cost of capital (WACC)
• Academics studying corporate finance and valuation

Common misconceptions: A frequent misunderstanding is that the Gordon Growth Model is a universal tool for all stocks. It’s not suitable for companies that do not pay dividends, companies with erratic dividend payouts, or high-growth startups where dividend growth is highly unpredictable. Another misconception is that the ‘constant growth rate’ is set in stone; in reality, it’s an assumption that requires careful forecasting. The model also implicitly assumes that the required rate of return (cost of equity) is greater than the dividend growth rate (g < Ke), a condition that is generally met in practice.

Cost of Equity Formula and Mathematical Explanation

The Gordon Growth Model is derived from the general Dividend Discount Model, which states that the present value of a stock is the sum of all expected future dividends, discounted back to the present at the required rate of return (cost of equity). For a constant growth scenario, this simplifies into a manageable formula.

The standard formula for the present value of a stock (P0) with dividends growing at a constant rate (g) is:

P0 = D1 / (Ke – g)

Where:

• P0 = Current market price of the stock
• D1 = Expected dividend per share next year
• Ke = Cost of Equity (required rate of return)
• g = Constant dividend growth rate

To find the Cost of Equity (Ke), we can rearrange this formula:

Ke – g = D1 / P0

Ke = (D1 / P0) + g

Furthermore, the expected dividend next year (D1) is calculated based on the current dividend (D0) and the growth rate (g):

D1 = D0 * (1 + g)

Substituting this into the Ke formula gives us the version used in our calculator:

Ke = [D0 * (1 + g) / P0] + g

Variable Explanations:

Gordon Growth Model Variables

Variable	Meaning	Unit	Typical Range / Notes
Ke	Cost of Equity	Percentage (%)	Typically 8% – 15% or higher, depends on risk. Must be > g.
D1	Expected Dividend Per Share Next Year	Currency (e.g., $)	Calculated from D0 and g.
D0	Current Dividend Per Share	Currency (e.g., $)	Most recently paid dividend. e.g., $1.00 – $10.00+
P0	Current Stock Price	Currency (e.g., $)	Current market price per share. e.g., $20.00 – $200.00+
g	Constant Dividend Growth Rate	Percentage (%)	Assumed constant forever. Typically 2% – 6%. Must be < Ke.

Practical Examples (Real-World Use Cases)

The Gordon Growth Model provides valuable insights when applied to real companies. Here are two examples:

Example 1: Established Utility Company

A stable utility company, “PowerGrid Inc.”, recently paid a dividend of $3.00 per share (D0). Analysts expect its dividends to grow consistently at 4% per year (g) for the foreseeable future. The current market price of PowerGrid Inc. stock is $60.00 per share (P0).

Inputs:

• D0 = $3.00
• g = 4.0%
• P0 = $60.00

Calculation:

• D1 = $3.00 * (1 + 0.04) = $3.12
• Ke = ($3.12 / $60.00) + 0.04
• Ke = 0.052 + 0.04
• Ke = 0.092 or 9.2%

Interpretation: The cost of equity for PowerGrid Inc. is estimated to be 9.2%. This means investors require an average annual return of 9.2% from their investment in PowerGrid stock, considering both dividends and growth. If PowerGrid’s required return by investors were lower than 9.2%, its stock price might be higher, or its dividends might be expected to grow faster.

Example 2: Mature Consumer Goods Company

Consider “GlobalFoods Corp.”, a well-established company in the consumer staples sector. It paid a dividend of $1.50 last year (D0) and forecasts a steady dividend growth rate of 3% annually (g). The stock is currently trading at $45.00 per share (P0).

Inputs:

• D0 = $1.50
• g = 3.0%
• P0 = $45.00

Calculation:

• D1 = $1.50 * (1 + 0.03) = $1.545
• Ke = ($1.545 / $45.00) + 0.03
• Ke = 0.03433 + 0.03
• Ke = 0.06433 or approximately 6.43%

Interpretation: The calculated cost of equity for GlobalFoods Corp. is approximately 6.43%. This relatively low cost of equity reflects the company’s stability and low-risk profile, typical for mature businesses in defensive sectors. Investors in GlobalFoods expect a modest return, primarily driven by the consistent dividend growth.

It’s important to remember that the Gordon Growth Model provides an estimate, and its accuracy relies heavily on the validity of its assumptions, particularly the constant growth rate ‘g’.

How to Use This Cost of Equity Calculator

Our Gordon Growth Model calculator is designed for simplicity and speed. Follow these steps to get your cost of equity estimate:

1. Enter Current Dividend Per Share (D0): Input the total amount of dividends the company paid out over the last full year, divided by the number of outstanding shares. For example, if a company paid $10 million in dividends and has 5 million shares, D0 is $2.00.
2. Enter Expected Dividend Growth Rate (g): Provide the anticipated constant annual percentage rate at which dividends are expected to grow indefinitely. This is often based on historical trends, industry forecasts, and the company’s payout ratio sustainability. Enter this as a percentage (e.g., 5 for 5%).
3. Enter Current Stock Price (P0): Input the current trading price of a single share of the company’s stock on the open market.
4. Click ‘Calculate Cost of Equity’: The calculator will process your inputs using the Gordon Growth Model formula.

How to read results:

• Main Result (Cost of Equity): This is the primary output, displayed prominently. It represents the annual percentage return investors expect from the stock.
• Intermediate Values: You’ll see the calculated Expected Next Dividend (D1), the input Current Dividend (D0), and the input Growth Rate (g). These help illustrate the components of the calculation.
• Formula Explanation: A brief description of the model and formula used is provided for clarity.

Decision-making guidance: The cost of equity is a crucial benchmark. A company should only invest in projects that are expected to generate returns exceeding this cost. For investors, if the expected return from a stock (based on your analysis or other models) is significantly higher than the calculated cost of equity, it might indicate an undervalued stock. Conversely, if the expected return is lower, the stock might be overvalued or too risky for the required return.

Use the ‘Copy Results’ button to easily transfer the calculated figures and assumptions for your reports or further analysis. Remember to consult our WACC Calculator for understanding the overall cost of capital.

Key Factors That Affect Cost of Equity Results

Several factors influence the calculated cost of equity using the Gordon Growth Model, and their impact can be significant. Understanding these elements is key to interpreting the results accurately:

1. Dividend Growth Rate (g): This is perhaps the most sensitive input. A higher expected growth rate directly increases the cost of equity. However, the model requires g < Ke. If 'g' is too high, it might suggest the company's growth is unsustainable, or the model is inappropriate. Conversely, a low or negative 'g' lowers Ke. The Dividend Growth Rate Calculator can help explore various scenarios.
2. Current Stock Price (P0): The stock price is in the denominator of the dividend yield component (D1/P0). A higher stock price leads to a lower dividend yield and thus a lower cost of equity, assuming other factors remain constant. Conversely, a falling stock price (with constant dividends and growth) increases the perceived cost of equity.
3. Current Dividend (D0): A higher current dividend directly increases the expected next dividend (D1), which in turn increases the dividend yield component (D1/P0) and thus the cost of equity. Companies with generous dividend policies will typically show a higher dividend yield component.
4. Market Risk Premium: While not an explicit input in the basic Gordon Growth Model, the stock price (P0) and the expected growth rate (g) are influenced by the overall market sentiment and the perceived risk of the company relative to the market. A higher market risk premium generally leads to higher stock prices (reducing Ke) or higher required returns (increasing Ke), depending on how it’s reflected.
5. Company-Specific Risk: The Gordon Growth Model assumes ‘g’ is constant, which implicitly bakes in company-specific risk. However, if a company’s risk profile changes dramatically (e.g., due to new competition, regulatory changes, or strategic shifts), the expected growth rate ‘g’ and the stock price ‘P0’ would likely adjust, impacting Ke.
6. Inflation Expectations: Inflation affects both the company’s ability to grow earnings and dividends and the required rate of return by investors. Higher inflation generally leads to higher nominal interest rates, which can increase the cost of equity (Ke). Investors demand a higher nominal return to maintain their real purchasing power.
7. Interest Rate Environment: As a component of the required rate of return, interest rates (like the risk-free rate) play a background role. Higher prevailing interest rates tend to push up the cost of equity for all companies, as investors have higher alternative return opportunities.

Frequently Asked Questions (FAQ)

What is the Gordon Growth Model?

The Gordon Growth Model is a method used to determine the intrinsic value of a stock based on a future series of dividends that grow at a constant rate. It’s a simplified version of the Dividend Discount Model (DDM) that assumes constant growth.

When is the Gordon Growth Model most appropriate?

It is most appropriate for valuing mature, stable companies that pay dividends and are expected to maintain a consistent, perpetual growth rate in those dividends. Companies with predictable earnings and payout ratios benefit most from this model.

What are the main limitations of the Gordon Growth Model?

The primary limitations are its reliance on the assumption of constant perpetual growth, its unsuitability for non-dividend-paying stocks or companies with erratic dividends, and the sensitivity of its output to small changes in the growth rate (g), especially when g is close to Ke. It also doesn’t explicitly account for short-term market fluctuations.

Can the growth rate (g) be higher than the cost of equity (Ke)?

No, the Gordon Growth Model mathematically requires the growth rate (g) to be less than the cost of equity (Ke). If g were equal to or greater than Ke, the formula would result in a negative or infinite stock price, which is nonsensical. A growth rate exceeding the cost of equity implies the company is growing faster than the required rate of return indefinitely, which is unsustainable.

How is the dividend growth rate (g) typically estimated?

The dividend growth rate (g) can be estimated using several methods:
1. Historical average growth rate of dividends.
2. Analyst forecasts for earnings growth, assuming a stable payout ratio.
3. Sustainable growth rate formula: g = Retention Ratio * Return on Equity (ROE), where Retention Ratio = (1 – Payout Ratio).

What if a company has a variable dividend policy?

If a company’s dividend policy is not stable or does not exhibit a constant growth rate, the basic Gordon Growth Model is not suitable. More complex multi-stage dividend discount models (e.g., two-stage or three-stage models) would be more appropriate for such cases.

How does the cost of equity calculated here relate to WACC?

The cost of equity (Ke) is a component of the Weighted Average Cost of Capital (WACC). WACC represents the average rate of return a company expects to pay to all its security holders (debt and equity). Ke is the cost associated specifically with equity financing. You can use our WACC Calculator to see how Ke fits into the overall capital structure cost.

Is the calculated cost of equity the same as the required rate of return?

Yes, in the context of the Gordon Growth Model and general finance theory, the cost of equity (Ke) is synonymous with the required rate of return that equity investors demand for holding the company’s stock, given its risk profile and expected future returns.

Does this model account for stock buybacks?

The basic Gordon Growth Model, as implemented here, focuses solely on dividends. It does not explicitly account for share buybacks. While buybacks can increase earnings per share and potentially signal financial strength, their direct impact on this specific dividend-based model is limited unless they indirectly influence future dividend payments or the stock price. Advanced models might incorporate such effects.

Related Tools and Internal Resources

• Dividend Growth Rate Calculator

  Explore different scenarios for dividend growth and its impact on stock valuation.

• WACC Calculator

  Calculate the Weighted Average Cost of Capital, incorporating the cost of equity.

• CAPM Calculator

  Calculate the Cost of Equity using the Capital Asset Pricing Model, an alternative method.

• P/E Ratio Explained

  Understand the Price-to-Earnings ratio and its role in stock valuation.

• Free Cash Flow to Equity (FCFE) Model

  Learn about alternative discounted cash flow models for equity valuation.

• Valuation Ratios Guide

  A comprehensive overview of key financial ratios used in stock analysis.