Calculate Cost of Common Equity using Gordon Model
Accurately determine the Cost of Common Equity using the Gordon Model with our intuitive online calculator. This essential financial tool helps investors and analysts estimate the required rate of return on a company’s common stock, considering expected dividends and growth.
Cost of Common Equity Calculator
The dividend expected to be paid per share in the next period.
The current market price at which the stock is trading.
The constant annual rate at which dividends are expected to grow indefinitely.
Calculation Results
Dividend Yield Component: –%
Growth Rate Component: –%
Formula Used: Ke = (D1 / P0) + g
What is the Cost of Common Equity using Gordon Model?
The Cost of Common Equity using the Gordon Model, also known as the Dividend Discount Model (DDM) with constant growth, is a fundamental concept in finance used to estimate the required rate of return on a company’s common stock. It’s a crucial component in capital budgeting decisions, valuation, and determining a company’s Weighted Average Cost of Capital (WACC). Essentially, it represents the return that investors expect to receive for holding a company’s stock, given its current price and expected future dividends.
The Gordon Growth Model assumes that dividends grow at a constant rate indefinitely. While this assumption might seem restrictive, it provides a straightforward and widely used method for estimating the cost of equity, especially for mature companies with stable dividend policies. It directly links a stock’s value to its future dividend stream, discounted back to the present at the required rate of return.
Who Should Use the Cost of Common Equity using Gordon Model?
- Financial Analysts: For valuing companies, performing discounted cash flow (DCF) analysis, and assessing investment opportunities.
- Investors: To determine if a stock’s current price offers an adequate return given its dividend prospects and growth.
- Corporate Finance Professionals: When making capital budgeting decisions, evaluating project feasibility, and calculating the firm’s overall cost of capital.
- Academics and Students: As a foundational model for understanding equity valuation and the relationship between dividends, growth, and required returns.
Common Misconceptions about the Gordon Growth Model
- It applies to all companies: The model is best suited for mature, dividend-paying companies with a stable and predictable growth rate. It’s less appropriate for growth companies that pay no dividends or have erratic growth patterns.
- Growth rate can exceed the discount rate: A critical assumption is that the constant growth rate (g) must be less than the required rate of return (Ke). If g ≥ Ke, the formula yields an infinite or negative stock price, which is illogical.
- It’s the only way to calculate cost of equity: While popular, other methods like the Capital Asset Pricing Model (CAPM) or bond yield plus risk premium are also used, often in conjunction with the Gordon Model for a more comprehensive view.
- Dividends are the only source of return: The model focuses on dividends, but total shareholder return also includes capital gains from stock price appreciation. The model implicitly captures this through the growth rate.
Cost of Common Equity using Gordon Model Formula and Mathematical Explanation
The Cost of Common Equity using the Gordon Model is derived from the Dividend Discount Model (DDM), which states that the intrinsic value of a stock is the present value of all its future dividends. When dividends are assumed to grow at a constant rate indefinitely, the DDM simplifies into the Gordon Growth Model formula:
Ke = (D1 / P0) + g
Where:
- Ke: The Cost of Common Equity (or required rate of return on equity). This is the rate that discounts the future dividend stream to equal the current stock price.
- D1: The expected dividend per share at the end of the next period (Year 1). It’s crucial to use the *next* period’s dividend, not the current or past dividend.
- P0: The current market price per share of the common stock.
- g: The constant annual growth rate of dividends, expected to continue indefinitely. This rate must be less than Ke.
Step-by-Step Derivation:
- The basic Dividend Discount Model states: P0 = D1/(1+Ke) + D2/(1+Ke)^2 + D3/(1+Ke)^3 + …
- If dividends grow at a constant rate ‘g’, then D2 = D1(1+g), D3 = D1(1+g)^2, and so on.
- Substituting this into the DDM: P0 = D1/(1+Ke) + D1(1+g)/(1+Ke)^2 + D1(1+g)^2/(1+Ke)^3 + …
- This is an infinite geometric series. For the sum to converge, we must have (1+g)/(1+Ke) < 1, which implies g < Ke.
- The sum of an infinite geometric series a + ar + ar^2 + … is a / (1-r), where ‘a’ is the first term and ‘r’ is the common ratio.
- In our case, a = D1/(1+Ke) and r = (1+g)/(1+Ke).
- So, P0 = [D1/(1+Ke)] / [1 – (1+g)/(1+Ke)]
- P0 = [D1/(1+Ke)] / [(1+Ke – 1 – g)/(1+Ke)]
- P0 = D1 / (Ke – g)
- Rearranging to solve for Ke: Ke – g = D1 / P0
- Therefore: Ke = (D1 / P0) + g
| Variable | Meaning | Unit | Typical Range |
|---|---|---|---|
| Ke | Cost of Common Equity / Required Rate of Return | Percentage (%) | 6% – 15% |
| D1 | Expected Dividend per Share Next Period | Currency (e.g., $) | $0.50 – $5.00 |
| P0 | Current Market Price per Share | Currency (e.g., $) | $20 – $200 |
| g | Constant Growth Rate of Dividends | Percentage (%) | 2% – 8% |
Practical Examples (Real-World Use Cases)
Example 1: Valuing a Stable Utility Company
Consider “Evergreen Utilities,” a mature company known for its stable dividend payments and consistent growth. An analyst wants to calculate its Cost of Common Equity using the Gordon Model.
- Expected Dividend Next Period (D1): $3.00
- Current Market Price per Share (P0): $60.00
- Constant Growth Rate of Dividends (g): 4.0%
Calculation:
Dividend Yield Component = D1 / P0 = $3.00 / $60.00 = 0.05 or 5.0%
Growth Rate Component = g = 4.0%
Ke = (D1 / P0) + g = 0.05 + 0.04 = 0.09 or 9.0%
Financial Interpretation: The Cost of Common Equity for Evergreen Utilities is 9.0%. This means investors require a 9.0% annual return to hold Evergreen’s stock, given its expected dividend and growth. If a project within Evergreen Utilities has an expected return less than 9.0%, it might not be considered financially viable from an equity investor’s perspective.
Example 2: Assessing a Growing Consumer Staple Company
Let’s look at “Daily Essentials Inc.,” a consumer staple company with a slightly higher growth trajectory.
- Expected Dividend Next Period (D1): $1.80
- Current Market Price per Share (P0): $45.00
- Constant Growth Rate of Dividends (g): 6.5%
Calculation:
Dividend Yield Component = D1 / P0 = $1.80 / $45.00 = 0.04 or 4.0%
Growth Rate Component = g = 6.5%
Ke = (D1 / P0) + g = 0.04 + 0.065 = 0.105 or 10.5%
Financial Interpretation: Daily Essentials Inc. has a Cost of Common Equity of 10.5%. This higher required return compared to Evergreen Utilities reflects its higher expected growth rate. Investors demand a greater return for the potential growth, even if the immediate dividend yield is lower. This value is critical for Daily Essentials when evaluating new product lines or market expansion projects.
How to Use This Cost of Common Equity using Gordon Model Calculator
Our calculator simplifies the process of determining the Cost of Common Equity using the Gordon Model. Follow these steps to get accurate results:
Step-by-Step Instructions:
- Enter Expected Dividend per Share Next Period (D1): Input the dividend amount you expect the company to pay per share in the upcoming year. For example, if the current dividend is $2.00 and you expect a 5% growth, D1 would be $2.00 * (1 + 0.05) = $2.10.
- Enter Current Market Price per Share (P0): Input the current trading price of the company’s stock. This can be found on any financial news website or brokerage platform.
- Enter Constant Growth Rate of Dividends (g, %): Input the expected constant annual growth rate of the company’s dividends as a percentage. For instance, enter ‘5’ for 5%.
- Click “Calculate Cost of Equity”: The calculator will automatically update the results as you type, but you can also click this button to ensure the latest calculation.
- Click “Reset”: To clear all fields and start over with default values.
- Click “Copy Results”: To copy the main result, intermediate values, and key assumptions to your clipboard for easy pasting into reports or spreadsheets.
How to Read the Results:
- Cost of Common Equity: This is the primary result, displayed prominently. It represents the percentage return equity investors require.
- Dividend Yield Component: This shows the portion of the required return that comes from the expected dividend relative to the current stock price (D1/P0).
- Growth Rate Component: This shows the portion of the required return attributed to the expected constant growth of dividends (g).
- Formula Used: A clear statement of the Gordon Growth Model formula for transparency.
Decision-Making Guidance:
The calculated Cost of Common Equity using the Gordon Model is a vital input for various financial decisions:
- Investment Decisions: Compare the calculated Ke with your personal required rate of return. If Ke is lower than what you demand, the stock might be overvalued or not meet your investment criteria.
- Capital Budgeting: Companies use Ke as a hurdle rate for equity-financed projects. Projects must generate returns greater than Ke to be acceptable to equity holders.
- Valuation: Ke is used as the discount rate in other valuation models, such as the Discounted Cash Flow (DCF) model, to find the present value of future cash flows.
- Strategic Planning: Understanding the cost of equity helps management assess the attractiveness of their stock to investors and make decisions that enhance shareholder value.
Key Factors That Affect Cost of Common Equity using Gordon Model Results
The accuracy and relevance of the Cost of Common Equity using the Gordon Model are highly dependent on the inputs. Several factors can significantly influence the calculated Ke:
- Expected Dividend Next Period (D1): This is a forward-looking estimate. If D1 is overestimated, Ke will be higher, and vice-versa. Accurate forecasting of future dividends is crucial and often relies on historical dividend patterns, company earnings, and management guidance.
- Current Market Price per Share (P0): The market price reflects investor sentiment, supply and demand, and overall market conditions. Fluctuations in P0 directly impact the dividend yield component (D1/P0). A higher P0 (all else equal) leads to a lower Ke, implying investors are willing to accept a lower return for a higher-priced stock.
- Constant Growth Rate of Dividends (g): This is perhaps the most sensitive input. Estimating a constant, perpetual growth rate is challenging. It’s often derived from historical growth rates, industry growth, or analysts’ forecasts. An overly optimistic ‘g’ can significantly inflate Ke, while an overly pessimistic ‘g’ can depress it. The assumption that ‘g’ is constant indefinitely is a major limitation.
- Risk Profile of the Company: While not explicitly an input in the Gordon Model formula, the underlying risk of the company influences both P0 and ‘g’. Higher perceived risk might lead to a lower P0 (as investors demand a higher risk premium) and potentially a lower ‘g’ if growth is less certain, both of which would increase Ke.
- Market Interest Rates: General interest rates in the economy (e.g., risk-free rate) serve as a baseline for all investments. When interest rates rise, investors typically demand higher returns from equity, which can indirectly push up the required Ke, often by impacting P0 or investor expectations for ‘g’.
- Industry and Economic Conditions: The industry a company operates in and the broader economic climate can affect its ability to grow dividends and its stock price. A booming economy might support higher ‘g’ and P0, leading to a lower Ke, while a recession could have the opposite effect.
- Company-Specific News and Events: Major announcements, earnings reports, product launches, or legal issues can cause immediate shifts in P0 and alter expectations for D1 and ‘g’, thereby changing the calculated Ke.
Frequently Asked Questions (FAQ) about the Cost of Common Equity using Gordon Model
A: The primary assumption is that dividends grow at a constant rate indefinitely, and this growth rate (g) must be less than the required rate of return (Ke).
A: It is most appropriate for mature, stable companies that pay regular dividends and have a predictable, constant growth rate. It’s less suitable for young, high-growth companies or those that don’t pay dividends.
A: No, the Gordon Model explicitly relies on expected future dividends (D1). If a company does not pay dividends, this model cannot be directly applied. Other valuation methods like the Capital Asset Pricing Model (CAPM) or free cash flow models would be more appropriate.
A: Estimating ‘g’ can be done in several ways: using historical dividend growth rates, relying on analysts’ forecasts, or using the sustainable growth rate formula (g = ROE * Retention Ratio). It’s often the most challenging input to accurately determine.
A: If g ≥ Ke, the denominator (Ke – g) becomes zero or negative, leading to an infinite or negative stock price, which is mathematically impossible and indicates the model is not applicable under such conditions. This is a critical limitation.
A: The Cost of Common Equity is the return required by equity investors, reflecting their ownership and higher risk. The Cost of Debt is the interest rate a company pays on its borrowings. Equity is generally riskier than debt for investors, so Ke is typically higher than the cost of debt.
A: No. The Cost of Common Equity (Ke) is just one component of the WACC. WACC is the average rate of return a company expects to pay to all its capital providers (debt, preferred stock, and common equity), weighted by their proportion in the capital structure. You can explore our WACC Calculator for more details.
A: Limitations include the assumption of constant dividend growth, the requirement that g < Ke, its unsuitability for non-dividend-paying or rapidly growing companies, and its sensitivity to input estimates, especially 'g'.
Related Tools and Internal Resources
To further enhance your financial analysis and understanding of valuation, explore these related tools and resources:
- Dividend Discount Model (DDM) Calculator: A broader tool for valuing stocks based on future dividends, including multi-stage growth models.
- Capital Asset Pricing Model (CAPM) Calculator: Another widely used method to calculate the required rate of return on equity, focusing on systematic risk.
- Weighted Average Cost of Capital (WACC) Calculator: Determine a company’s overall cost of capital by combining the cost of equity and cost of debt.
- Stock Valuation Tool: A comprehensive tool to assess the intrinsic value of a stock using various methodologies.
- Equity Risk Premium Calculator: Understand the additional return investors demand for holding equity over a risk-free asset.
- Growth Rate Calculator: Calculate historical or projected growth rates for various financial metrics.