Market Price Per Share Calculator (Dividend Growth Model)
An SEO-optimized tool to estimate a stock’s intrinsic value based on the Gordon Growth Model.
Enter the total cash dividend expected to be paid out per share over the next 12 months. This is a currency value.
Enter your minimum required rate of return as a percentage. This is often based on the risk-free rate plus a risk premium.
Enter the constant rate at which you expect dividends to grow indefinitely, as a percentage. This must be less than the required rate of return.
Estimated Market Price Per Share (P₀)
Formula: P₀ = D₁ / (k – g)
Effective Rate (k – g):
| Year | Projected Dividend |
|---|
Price Sensitivity to Growth Rate (g)
What is the Market Price Per Share using the Dividend Growth Model?
The calculate market price per share using dividend growth model method, also known as the Gordon Growth Model, is a popular stock valuation technique used by investors. It determines the intrinsic value of a stock, assuming that the company will pay dividends that grow at a constant rate indefinitely. By calculating this theoretical price, an investor can compare it to the current market price to decide if a stock is overvalued, undervalued, or fairly priced. This model is most suitable for stable, mature companies with a long history of regular and increasing dividend payments.
Dividend Growth Model Formula and Explanation
The core of this valuation method is a straightforward formula that distills future dividend payments into a single present value. Understanding each component is key to using the calculator effectively.
P₀ = D₁ / (k – g)
Where the variables represent:
| Variable | Meaning | Unit | Typical Range |
|---|---|---|---|
| P₀ | The intrinsic market price per share today. | Currency ($) | Calculated Result |
| D₁ | The expected total cash dividends per share in one year. | Currency ($) | $0.01 – $100+ |
| k | The investor’s required rate of return or discount rate. | Percentage (%) | 5% – 15% |
| g | The constant dividend growth rate in perpetuity. | Percentage (%) | 1% – 7% |
A crucial assumption of this model is that the required rate of return (k) must be greater than the dividend growth rate (g). If g were equal to or greater than k, the denominator would be zero or negative, yielding a nonsensical, infinite valuation. For more on valuation methods, see our guide on discounted cash flow (DCF) analysis.
Practical Examples
Example 1: Stable Utility Company
Imagine a utility company, “Stable Power Inc.”, that is expected to pay a dividend of $3.00 next year (D₁). An investor, considering the stock’s low risk, has a required rate of return (k) of 7%. The company has consistently grown its dividend by 4% (g) annually.
- Inputs: D₁ = $3.00, k = 7%, g = 4%
- Calculation: P₀ = $3.00 / (0.07 – 0.04) = $3.00 / 0.03
- Result: The estimated price per share is $100.00.
Example 2: Mature Tech Firm
Consider a well-established tech firm, “Innovate Corp.”, with a higher risk profile. It is expected to pay a dividend of $1.50 next year (D₁). Due to higher market volatility, an investor might require a 10% rate of return (k). The company’s dividend is projected to grow steadily at 6% (g). This is a classic case where a Gordon Growth Model calculator is highly effective.
- Inputs: D₁ = $1.50, k = 10%, g = 6%
- Calculation: P₀ = $1.50 / (0.10 – 0.06) = $1.50 / 0.04
- Result: The estimated price per share is $37.50.
How to Use This Market Price Per Share Calculator
Using this calculator is simple. Follow these steps to calculate market price per share using dividend growth model:
- Enter Expected Dividend (D₁): Input the total dividend you expect the company to pay per share over the next year. This is a future-looking value.
- Enter Required Rate of Return (k): Input your personal minimum rate of return as a percentage. This rate should reflect the risk of the investment. A higher-risk stock typically requires a higher ‘k’. To learn more about this, read our guide on understanding the cost of equity.
- Enter Dividend Growth Rate (g): Input the constant annual rate at which you expect the dividend to grow forever. This is a critical assumption and should be conservative.
- Interpret the Results: The calculator instantly shows the estimated intrinsic value per share. You can compare this with the stock’s current trading price. The table and chart also provide deeper insights into future dividend projections and price sensitivity.
Key Factors That Affect the Market Price Per Share
The output of the dividend growth model is highly sensitive to its inputs. Understanding these factors is crucial for an accurate valuation.
- Company Profitability: A company’s ability to generate and grow profits is the foundation of its ability to pay and increase dividends.
- Dividend Payout Ratio: The percentage of earnings a company pays out as dividends affects both the current dividend and the potential for future growth. A lower payout ratio may signal more funds for reinvestment and higher future growth (g).
- Required Rate of Return (k): This is influenced by prevailing interest rates, inflation, and market risk. An increase in the risk-free rate or market risk premium will increase ‘k’ and decrease the stock’s calculated value. For a broader view, consider the Weighted Average Cost of Capital (WACC).
- Dividend Growth Rate (g): An analyst’s long-term growth expectation is one of the most significant and subjective inputs. Small changes in ‘g’ can lead to large changes in the calculated price.
- Economic Conditions: Broader economic health can impact company earnings, interest rates, and investor sentiment, all of which indirectly affect the model’s variables.
- Industry Trends: A company in a declining industry may struggle to maintain dividend growth, whereas one in a growing sector might easily exceed historical growth rates. A guide to stock valuation can provide more context.
Frequently Asked Questions (FAQ)
What is the main limitation of the Dividend Growth Model?
The biggest limitation is its reliance on the assumption of constant, perpetual dividend growth. This makes it unsuitable for companies with fluctuating dividend patterns or for those that do not pay dividends at all (like many growth-stage tech companies). The P/E ratio calculator can be an alternative for such firms.
What happens if the growth rate (g) is higher than the required rate of return (k)?
The model breaks down and produces a negative or infinite value, which is meaningless. This mathematical constraint highlights a logical one: a company’s dividends cannot grow faster than the overall economy (and by extension, the investor’s required return) forever.
How do I estimate the dividend growth rate (g)?
You can look at the company’s historical dividend growth rate, check analysts’ forecasts, or calculate the sustainable growth rate (Return on Equity * (1 – Dividend Payout Ratio)). It’s often best to use a conservative estimate.
Is the calculated price a guaranteed future price?
No. It is a theoretical intrinsic value based on a specific set of assumptions. The actual market price is determined by supply and demand and can be influenced by many factors not included in the model, such as market sentiment and short-term news.
Can I use this model for any stock?
No, it’s most appropriate for mature, stable companies in non-cyclical industries that have a consistent history of paying dividends, such as utilities, consumer staples, and some financial institutions.
What is the difference between D₀ and D₁?
D₀ is the most recent dividend that has already been paid. D₁ is the *expected* dividend for the next period, which is typically calculated as D₀ * (1 + g). This calculator uses D₁ directly as an input.
How does a stock buyback program affect this model?
Stock buybacks are another way for companies to return capital to shareholders but are not directly factored into this model, which focuses exclusively on dividends. Significant buybacks could limit funds available for dividends, affecting ‘g’.
Why is it called the Gordon Growth Model?
It was developed and popularized by Myron J. Gordon and Eli Shapiro in the 1950s, so it is often named after Gordon.
Related Tools and Internal Resources
Expand your financial analysis toolkit with these related calculators and guides.
- DCF Calculator: For a more detailed valuation that considers free cash flow instead of just dividends.
- WACC Calculator: Determine the Weighted Average Cost of Capital, a common input for the required rate of return.
- Gordon Growth Model Calculator: A focused tool for this specific valuation method.
- Guide to Stock Valuation: A comprehensive overview of different methods for valuing a company.
- Dividend Investing Strategies: Learn how to build a portfolio focused on dividend income.
- What is Cost of Equity?: A deep dive into one of the key inputs of the dividend growth model.