Gordon Growth Model: Definition, How It Works, Example and Formula
Summary:
The Gordon Growth Model (GGM) is a key financial formula that calculates the intrinsic value of a stock based on its expected future dividends. The model is particularly useful for companies with stable dividend growth. This article explains the GGM formula, its assumptions, limitations, and provides a step-by-step example.
The Gordon Growth Model (GGM) is a widely-used formula in financial modeling and stock valuation. It’s a variant of the dividend discount model (DDM) and helps investors calculate the fair value of a stock based on a series of dividends expected to grow at a constant rate. The GGM assumes perpetual dividend growth, which is why it’s ideal for companies with consistent dividend histories.
What is the Gordon growth model (GGM)?
The Gordon Growth Model (GGM) is a simple yet powerful tool that helps investors determine the intrinsic value of a company’s stock. It works by assuming that a company will grow its dividends at a constant rate forever. Investors use this model to decide whether a stock is undervalued, overvalued, or fairly priced. The GGM is especially applicable to mature companies with stable dividend growth, making it a popular choice for income-focused investors.
How does the Gordon growth model work?
The GGM takes into account three main factors: dividends per share (DPS), the growth rate of these dividends, and the required rate of return (ROR). It assumes that dividends will continue to grow at a steady rate into perpetuity, and the formula helps calculate the present value of these infinite future dividend payments. The formula for the GGM is:
Gordon growth model formula
- P: Current stock price
- D1: Value of next year’s dividends
- r: Required rate of return (ROR)
- g: Constant growth rate of dividends
Using this formula, investors can estimate a stock’s intrinsic value. If the result is higher than the stock’s current market price, it might be undervalued. Conversely, if the result is lower than the market price, the stock could be overvalued.
Assumptions of the Gordon growth model
The GGM relies on certain assumptions that, while simplifying calculations, limit the model’s applicability. Key assumptions include:
- Constant dividend growth: The model assumes dividends will grow at a constant rate forever.
- Infinite lifespan: The model is built on the assumption that the company will continue to exist and pay dividends forever.
- Stable required rate of return: The required rate of return (ROR) remains constant over time.
These assumptions make the GGM a suitable model for valuing mature, stable companies but less applicable to volatile or high-growth businesses that may reinvest profits instead of paying dividends.
Importance of the Gordon growth model
The GGM offers investors a way to calculate a stock’s intrinsic value, independent of fluctuating market conditions. This helps investors make informed decisions on whether to buy, hold, or sell shares. The model is especially useful for income investors who focus on companies with consistent dividend payouts.
Real-world example: Using the Gordon growth model to value a dividend-paying stock
To further illustrate how the Gordon Growth Model (GGM) is used in real-world scenarios, let’s look at a hypothetical example. Assume Company XYZ is currently paying a dividend of $5 per share. Analysts expect the company’s dividends to grow by 4% per year indefinitely. Investors require a 10% rate of return to hold the company’s stock. Using the GGM, the intrinsic value of Company XYZ’s stock can be calculated as follows:
- D1: $5.20 (which is $5 * 1.04, the growth rate applied to next year’s dividend)
- r: 10% (the required rate of return)
- g: 4% (the expected constant growth rate of dividends)
Substituting the numbers into the formula gives us:
Based on the Gordon growth model, the intrinsic value of Company XYZ’s stock is estimated to be $86.67. If the current market price of the stock is $80, the stock would be considered undervalued, making it a potential buying opportunity for investors.
Adapting the Gordon growth model for varying dividend growth rates
One criticism of the Gordon growth model is its assumption of constant dividend growth, which does not always hold in reality. Companies may experience varying growth rates due to economic cycles, changes in management strategy, or external factors. To address this, investors can adapt the GGM by using a multi-stage dividend growth model. This approach involves calculating the stock’s value in two stages: the first stage accounts for a higher growth rate over a certain period, and the second stage assumes a lower, constant growth rate thereafter.
For example, let’s say Company ABC is expected to grow its dividends at 10% per year for the next 5 years, after which the growth rate will stabilize at 3% indefinitely. If the company is currently paying $4 in dividends, and investors require a 12% return, the stock value would be calculated in two parts:
- Calculate the present value of dividends for the first 5 years using the 10% growth rate.
- Calculate the terminal value using the Gordon growth model for dividends after the 5th year, assuming a 3% growth rate.
Using a multi-stage model allows investors to better estimate a stock’s value when a company is expected to experience different phases of growth. This method provides more flexibility and accuracy for valuing companies that do not follow a constant growth pattern.
Gordon growth model in mergers and acquisitions
The Gordon growth model is often used in mergers and acquisitions (M&A) as part of the valuation process. When a company is considering acquiring another firm, it needs to determine whether the target company’s stock is fairly priced or undervalued. The GGM helps acquirers estimate the intrinsic value of the target company based on its expected future dividends.
For instance, when Company DEF plans to acquire Company GHI, it can apply the GGM to assess whether the acquisition price aligns with the intrinsic value calculated using expected dividends. By plugging in the expected growth rate of dividends and the required rate of return, Company DEF can make an informed decision on whether the acquisition is financially viable.
This application of the GGM is particularly useful for acquiring companies focused on long-term growth and income generation, as it allows them to identify attractive investment opportunities based on dividend payouts and intrinsic value.
Conclusion
The Gordon Growth Model (GGM) remains a valuable tool for investors looking to evaluate the intrinsic value of dividend-paying stocks. While its assumptions may limit its application to companies with stable growth, it provides a straightforward method for determining whether a stock is undervalued or overvalued. Investors should consider both the advantages and limitations of the model when using it for long-term investment decisions.
Frequently asked questions
How does the Gordon growth model differ from the dividend discount model (DDM)?
The Gordon growth model (GGM) is actually a variant of the dividend discount model (DDM). While the DDM calculates the present value of expected future dividends, the GGM simplifies this by assuming a constant growth rate in dividends, making it easier to apply for companies with stable dividend patterns. The DDM can handle variable dividend growth rates, whereas the GGM assumes perpetual, consistent growth.
Can the Gordon growth model be applied to companies that do not pay dividends?
No, the GGM is only applicable to companies that pay regular dividends. Since the formula is based on expected future dividends, companies that reinvest profits or those that are growth-focused do not fit within this model. For such companies, other valuation models like discounted cash flow (DCF) analysis may be more appropriate.
What happens if the required rate of return is lower than the dividend growth rate?
When the required rate of return (ROR) is lower than the growth rate of dividends, the formula breaks down and results in a negative or unrealistic stock value. This is because the model assumes that dividends will grow at a steady rate forever, but if the return rate is lower, it suggests the stock’s value would approach infinity, which is not possible in practical terms.
Is the Gordon growth model effective for valuing growth stocks?
The GGM is generally not effective for valuing growth stocks. Growth companies typically reinvest their profits to fuel expansion, and as a result, they often do not pay consistent or substantial dividends. Since the GGM relies on dividend payments and their growth, it is not suitable for evaluating companies that focus on reinvestment rather than shareholder payouts.
How does the Gordon growth model account for inflation?
The GGM does not explicitly account for inflation. However, the growth rate used in the model may indirectly reflect inflation if dividend growth is tied to the overall growth of the company, which could include inflationary effects. Investors should be aware of this limitation and may need to adjust their required rate of return to factor in inflationary expectations.
Key takeaways
- The Gordon Growth Model (GGM) calculates the intrinsic value of a stock based on expected future dividends growing at a constant rate.
- It assumes that dividends will grow perpetually, making it best suited for stable, mature companies with consistent dividend payouts.
- The GGM is a simplified version of the Dividend Discount Model (DDM) and is easier to apply when constant growth is expected.
- Although easy to use, the GGM’s assumptions of constant growth limit its applicability to companies without variable growth rates or those that do not pay dividends.
- Investors use the GGM to determine if a stock is undervalued or overvalued, making it an important tool in long-term investment decision-making.
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