# Constant Growth Rate Discounted Cash Flow Model/Gordon Growth Model

Gordon Growth Model is a part of Dividend Discount Model. This model assumes that both the dividend amount and the stock’s fair value will grow at a constant rate. To put in simple words, this model assumes that the dividend paid by the company will grow at a constant percentage.

Gordon growth model, also known as ‘Constant Growth Rate DCF Model, has been named after Professor Myron J. Gordon. As the name implies, this model works on the underlying assumption that the company will continue to pay the dividend amount as a fixed multiple of growth in the future, as it is paying now. It is an appropriate model to value companies who increase the dividend by fixed rate every year. Let us now look at how to calculate the value of the stock using constant growth model:

## Formula for  Gordon Growth Model / Constant Growth Rate DCF Method

Stock Value (p) = D1/ (k-g)

Where, p = Intrinsic value of the stock/equity

k = Investors required rate of return, discount rate

g = Expected growth rate (Note: It should be assumed to be constant)

D1= Next years expected annual dividend per share

When k and g, i.e. investors required rate of return and expected growth rate do not change over the years, so the stocks fair/intrinsic value will increase annually by the rate of dividend increase. To put it in simple words, both the dividend amount and the stock price/value will increase at a constant growth rate.

Let us look at the example below for a better understanding of the concept of constant growth model.

## Example for Calculating Value of Stock Using Gordon’s Growth Model

Let us say a stock pays a dividend of \$ 5 this year. The dividend has been growing at the rate of 10% annually. Assuming a 15% required rate of return; the value of the stock can be calculated as follows:

Stock Value (p) = D1/ (k-g)

In the given example;

Current year Dividend D0 = \$ 5

k = 15% i.e. 0.15

g = 10% i.e. 0.10

 Year Expected Annual Dividend [D] Discount Rate [k] Expected Growth Rate [g] Stock Value [p] 1 \$5*(1+0.10) = \$5.5 15% 10% \$ 5.5/(0.15-0.10) = \$ 110 2 \$5.5(1+0.10) = \$6.05 15% 10% \$ 6.05/(0.15-0.10) = \$ 121 3 \$6.05(1+.10) = \$6.655 15% 10% \$ 6.655/(0.15-0.10) = \$ 133.1 4 \$6.655(1+.10) = \$7.3205 15% 10% \$ 7.3205/(0.15-0.10) = \$ 146.41

Year 1 Dividend will be = \$ 5 x (1+10%) ^1 = \$ 5.50

Year 2 Dividend will be = \$ 5.50 x (1+10%) ^1 = \$ 6.05

Year 3 Dividend will be = \$ 6.05 x (1+10%) ^1 = \$ 6.655

Year 4 Dividend will be = \$ 6.655 x (1+10%) ^1 = \$ 7.3205

To sum up the calculations, 110*1.1 = 121, 121*1.1 = 133.1 & 133.1*1.1=146.41 respectively for each year. Hence the stock value grows by a constant rate of 1.1 over the next 4 years and will continue to grow by 10% for all the forth coming years. According to the constant growth model, if the stock’s value is \$110 for the next year, but if the stock is trading at \$100 then it is undervalued.

## Variations in the Price of the Stock Calculated Under Gordon’s Constant Growth Rate DCF Model

• Assuming the company does well in the next year and grows at a growth rate of more than 10% let us say 12%, the price of the stock will be:

p = \$ 5.5/ (0.15-.012) = \$ 183.33

• Conversely, if the company does not do very well and the growth rate goes down, let us assume it goes down to 8%. The price of the stock will be:

p = \$ 5.5/ (0.15-0.08) = \$ 78.57

The model is applied and used for its simplicity and suitability for companies with stable growth and established dividend payout ratios. The model, however, comes with a set of limitations; which one needs to know so as to enable a better understanding of the model.

## Disadvantages of Gordon Growth Model

• The constant growth model of equity valuation under discounted cash flow model comes with an assumption that the dividends paid by the company will grow at a constant rate. This is not a true assumption for declining or growing companies.[adsense_bottom]
• Also, constant growth means the company would continue to grow at constant rate till eternity, which does not align with real world scenario and the said approach can lead to estimation errors.
• The growth rate in an industry is the key input. Mathematically this model may generate output value as infinity if the cost of growth approaches very close to the cost of equity and the value may go negative if growth rate goes above the cost of equity.

Conclusion

Equity valuation model helps the investors to make calculative investment decisions. If the fair or intrinsic value of the stock calculated using these models is higher than the price of stock at which it is being traded; then it is advisable to buy the stock as it is undervalued and the price is expected to go up in future.

Similarly, if the fair or intrinsic value of the stock is lower than the traded price of the stock, then the stock is overvalued and the price is expected to go down in future and one may look to sell the stock.

Sanjay Borad is the founder & CEO of eFinanceManagement. He is passionate about keeping and making things simple and easy. Running this blog since 2009 and trying to explain "Financial Management Concepts in Layman's Terms".

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