What is Constant Growth Rate and Why Should You Care?
The constant growth rate is the steady annual rate at which a company's dividends are expected to grow. It is a critical input in dividend discount models, which value a stock based on the present value of its future dividend payments. Understanding this rate helps investors determine whether a stock is fairly priced, overvalued, or undervalued relative to its dividend-paying potential.
How to Calculate Constant Growth Rate
The formula is:
[\text{CR} = \frac{(\text{P} \times r) - \text{D}}{\text{P} + \text{D}} \times 100]
Where:
- CR is the constant growth rate (%).
- P is the current stock price.
- D is the annual dividend.
- r is the required return rate (as a decimal).
Calculation Example
For a stock with:
- Current Price: 100
- Annual Dividend: 5
- Required Return Rate: 8%
[\text{CR} = \frac{(100 \times 0.08) - 5}{100 + 5} \times 100 = \frac{8 - 5}{105} \times 100 = \frac{3}{105} \times 100 \approx 2.86]
The constant growth rate is approximately 2.86%. This means dividends must grow at about 2.86% annually for the stock to be fairly valued at its current price, given the required 8% return.
The Gordon Growth Model
This calculator is derived from the Gordon Growth Model (GGM), one of the most widely used methods for valuing dividend-paying stocks. The standard GGM formula is:
[\text{P} = \frac{\text{D}}{\text{r} - \text{g}}]
Where P is the stock price, D is the next expected dividend, r is the required return, and g is the constant growth rate. By rearranging this equation, you can solve for any one variable when the other three are known.
The GGM assumes that dividends grow at a constant rate forever, which is a simplification. In practice, companies go through phases of faster and slower growth. For mature companies with stable dividend histories -- utilities, consumer staples, and large banks -- the constant growth assumption is reasonable. For high-growth companies that reinvest most of their earnings rather than paying dividends, other valuation methods are more appropriate.
Practical Considerations for Investors
When using the constant growth rate to evaluate stocks, compare the calculated growth rate against the company's historical dividend growth. If the implied growth rate significantly exceeds the company's 5-year or 10-year average dividend growth rate, the stock may be overvalued -- the market is pricing in growth that history does not support. Conversely, if the implied rate is well below historical growth, the stock may be undervalued.
Also consider that the required return rate is subjective. Different investors will arrive at different growth rate estimates depending on their risk tolerance. A conservative investor requiring a 10% return will calculate a different growth rate than an aggressive investor accepting 6%. This is why stock valuation remains part science, part judgment.