What is the model called that determines the market value of a stock based on its next annual dividend?

One of the most intimidating things for the new investor can be getting a grasp on how to properly value a stock. How do you know whether a company’s share price is too high or too low?

There are several methods for determining this, and the proper approach can vary depending on the type and size of a company you are evaluating. Some methods look only at the company’s fundamentals, while others are based on comparing one company to another.

One of the most common methods for valuing a stock is the dividend discount model (DDM). The DDM uses dividends and expected growth in dividends to determine proper share value based on the level of return you are seeking. It’s considered an effective way to evaluate large blue-chip stocks in particular.

Several versions of the DDM formula exist, but two of the basic versions shown here involve determining the required rate of return and determining the correct shareholder value.

  1. Stock value = Dividend per share / (Required Rate of Return – Dividend Growth Rate)
  2. Rate of Return = (Dividend Payment / Stock Price) + Dividend Growth Rate

The formulas are relatively simple, but they require some understanding of a few key terms:

  • Stock price: The price at which the stock is trading
  • Annual dividend per share: The amount of money each shareholder gets for owning a share of the company
  • Dividend growth rate: The average rate at which the dividend rises each year
  • Required rate of return: The minimum amount of return an investor requires to make it worthwhile to own a stock, also referred to as the “cost of equity”

Generally, the dividend discount model is best used for larger blue-chip stocks because the growth rate of dividends tends to be predictable and consistent. For example, Coca-Cola has paid a dividend every quarter for nearly 100 years and has almost always increased that dividend by a similar amount annually. It makes a lot of sense to value Coca-Cola using the dividend discount model.

You may know in your gut what kind of return you’d like to see from a stock, but it helps to first understand what the actual rate of return is based on the current share price. That formula is:

Rate of Return = (Dividend Payment / Stock Price) + Dividend Growth Rate

Let’s use Coca-Cola to show how this works:

In of July 2018, Coke was trading at nearly $45 per share. Its annual dividend per share was projected to be $1.56. Coke has increased its dividends by roughly 5% per year, on average.

Thus, the rate of return for Coke is:

($1.56/45) + .05 = .0846, or 8.46%

In other words, an investor can expect an 8.46% annual return based on its current share price.

If your goal is to determine whether a stock is properly valued, you must flip the formula around.

The formula to determine stock price is:

Stock value = Dividend per share / (Required Rate of Return – Dividend Growth Rate)

Thus, the formula for Coke is:

$1.56 / (0.0846 – 0.05) = $45

As you can see, the formulas match up, but what if, as an investor, you would like to see a higher return? Let’s say you want to see a 10% return. What would the appropriate price be based on the current dividend rate and growth rate?

The formula:

$1.56 / (0.10 – 0.05) = $31.20

Thus, you may decide that as an investor, it makes more sense to wait for Coca-Cola’s price to drop in order to get the desired return. Conversely, another investor may be comfortable with a lower return and would not object to paying more.

The dividend discount model is not a good fit for some companies. For one thing, it’s impossible to use it on any company that does not pay a dividend, so many growth stocks can’t be evaluated this way. In addition, it's hard to use the model on newer companies that have just started paying dividends or who have had inconsistent dividend payouts.

One other shortcoming of the dividend discount model is that it can be ultra-sensitive to small changes in dividends or dividend rates. For example, in the example of Coca-Cola, if the dividend growth rate were lowered to 4% from 5%, the share price would fall to $42.60. That’s a more than 5% drop in share price based on a small adjustment in the expected dividend growth rate.

If you're going to use DDM to evaluate stocks, keep these limitations in mind. It's a solid way to evaluate blue-chip companies, especially if you're a relatively new investor, but it won't tell you the whole story.

A dividend is a payment. It has a value that must be accounted for in the stock price—just like any other asset that gives a company value. If two companies are identical, except only one of them pays dividends, then you would expect a higher stock price for the dividend-paying company. Not all stocks offer dividends, so dividend payments don't single-handedly determine a stock's value.

Stock value is dependent on many things, including big-picture factors like a company's financial performance and industry outlook. Investors use metrics like the price-to-earnings ratio, earnings per share, and dividend rates to better assess that value. Ultimately, a stock's value depends on your own investing goals and opinions. If you're willing to buy or sell a stock at a given price, that price is the stock's value to you.

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Determining the value of financial securities involves making educated guesses. That's because unforeseen things do occur. Think of natural disasters, regulatory policy reversals, or corporate scandals that can upend previous value growth.

Just recently, Meta—the parent company for Instagram, Facebook, WhatsApp, and Oculus— experienced a stock plummet of 25+% after announcing a decline in the number of active Facebook users. 

Despite such uncertainties, you can leverage a constant growth rate model (commonly known as the Gordon growth model) to determine your company's stock value. The said formula assumes a relationship between a constant dividend growth rate and your company's share price. 

Here, we digest the Gordon growth model to show you how you can use it to calculate the constant growth rate in dividend payments your company can adopt to justify or even boost your stock value. 

Who's Gordon? The model is named after American economist Myron Gordon, who popularized the model in the 1960s.

The Gordon growth model (GGM) is a financial valuation technique for computing a stock's intrinsic value. 

The model leverages the current market price and current dividend payout to calculate the expected dividend growth rate that justifies the price. It, however, disregards the prevailing market conditions and other factors that may impact dividend value.

What are the assumptions of the Gordon growth model?

The Gordon growth model formula assumes that the company:

  • Boasts a stable business model (i.e. there are no substantial changes in its operations)
  • Has reliable financial leverage. This is true more so for preferred stocks and fixed income securities
  • Grows at an unchanging rate 
  • Is an all-equity firm (i.e. only uses retained earnings to finance its investments, not debt)
  • Utilizes its free cash flow to pay out dividends 

The Gordon growth model, (aka the constant growth rate model), denotes the relationship between discount rate, growth rate, and stock valuation. 

It also helps calculate a fair stock value which can indicate whether the company's indices are priced properly. Since the calculation ignores prevailing market conditions, the resulting share price can be compared to similar companies, which helps identify gaps for improvement.

Business owners can also leverage this model to compute the constant dividend growth rate that justifies the current market price. 

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Unfortunately, the model only applies to dividends with a constant growth rate in perpetuity. Or rather, it's applicable only for stocks of companies with stable growth rates in their dividends per share. This means that if growth is uneven, as is common in startups or businesses with recent IPOs, the formula is essentially unusable. 

The formula is also highly sensitive to the discount and growth rates used. That means the stock price can approach infinity if the dividend growth rate and required rate of return have the same value. Alternatively, it can also return a negative value if the growth rate is greater than the required rate of return.

Furthermore, since the formula excludes non-dividend and other market conditions, the company stocks may be undervalued despite steady growth.

As mentioned, the constant growth formula estimates a fair stock price based on its dividend payouts and growth rate. 

The formula states that: 

Constant Growth Rate = (Current stock price X r) - Current annual dividends / (Current stock price + Current annual dividends)

Where r is the required rate of return. 

To calculate the constant growth rate, you need to determine the necessary inputs. These can include the current stock price, the current annual dividend, and the required rate of return. Then, plug the resulting values into the formula. 

Determining the current stock price 

If you own a public company, your stock price will be as valued on the stock market. The stock market is heavily reliant on investors' psychology and preferences. 

You can, however, use different models to calculate the same value. Think of price-to-earnings ratio (P/E), price-to-book ratio (P/B), price-to-earnings-growth ratio (PEG), and dividend yield values as some examples. 

Determining the annual dividends 

You decide the annual dividends for your organization usually by forecasting long-term income and computing a percent of that income to be paid out.

In the case of the Gordon Growth Model, the said income will be your company's free cash, which you can then distribute to stakeholders relative to the number of shares they own. 

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Determining the required rate of return 

The required rate of return refers to the return your company seeks on an investment funded with internal earnings, not debt. The resulting value should make investing in your stocks worthwhile relative to the risks involved. 

You can determine this rate using the dividend capitalization model, which states that:

The required rate of return=(expected dividend payment /current stock price) + dividend growth rate 

For example, say a company pays an annual dividend of $4 per share, and its shares are currently trading at $100. If said company has been constantly raising its dividend payments by 5%, the internal rate of return will equal:

The required rate of return = ($4/$100)+5% = 9%

To determine the dividend growth rate: 

  • Find a starting dividend value over a given period. It could be 2019 (V2019).
  • Find an end dividend value over a second timeframe. It could be 2020 (V2020). 
  • Next, plug the values in the formula: 

Dividend growth rate = [(dividend yearX / dividend yearX) - 1] x100

Let's say that dividend payment for year 2019 was $2.00 and for 2020 it was $2.05.

Dividend growth rate = [($2.05 / $2.00) - 1] X 100 = 2.5%

Once you have all these values, plug them into the constant growth rate formula.

Example

Company X's stocks are valued at $200 per share and pay a $2 annual dividend per share. If the required rate of return (r) is 10%, what is the constant growth rate?

Based on the formula:

Constant Growth Rate = (Current stock price X r) - Current annual dividends / Current stock price + Current annual dividends  x 100

Plugging the values into the formula results in:

Constant growth rate = (200 x 10%) - 2 / (200 + 2) X 100 = 8.9%

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What is the model called that determines the market value of a stock based on its next annual dividend?

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Calculating the constant growth rate and determining whether to raise your dividend payouts is essential to justify or increase your stock value.

But for you to attain such a rate (if you haven't already), your revenue (income earnings) must increase at similar or higher rates. Hence the need to consistently track revenue metrics and other contributory factors, including sales, marketing, and product. 

Enter ProfitWell Metrics, by Paddle.

ProfitWell Metrics not only helps you accurately report, but also unifies analytics, churn analysis, and pricing strategy into one dashboard. The goal is to provide a clear view of what drives growth and revenue within your company and what needs changing.

The 'constant growth model' and the 'Gordon growth model' are two names for the same approach to evaluating shares and company value. It is also referred to as the 'growth in perpetuity model'.

What is the constant growth rate rule?

The constant growth rate rule is a tenet of monetarism. It requires the Federal Reserve to aim for a money growth rate that equals that of real GDP.  

What are the three inputs of the Gordon growth model?

The three inputs of the Gordon growth model are the current stock price (it could be its market price), the expected dividend payout for the following year, and the required rate of return.

What is a constant growth stock?

A constant growth stock is a share whose earnings and dividends are assumed to increase at a stable rate in perpetuity.