Investors can value a stock using the dividend discount model. The dividend discount model should be used on mature companies that have stable growth.
The formula for the dividend discount model is: V= D1/K-G
Value of stock = Next year’s projected dividend / Required rate of return - Growth of company.
Next year’s dividend is dividends paid out this year X growth rate. D0 X G.
To figure out what the required rate of return (K) is, investors need to use the formula:
Required rate of return = Risk free rate (RFR) + Inflation Premium (IP) + Risk Premium(RP)
or Capital Asset Pricing Model’s (CAPM) formula, which is:
Required rate of return = RFR - Beta(Expected Market Return(Er) - RFR)
Calculating the growth of a company is not too difficult. Growth rate = Retention rate X Return on Equity (ROE).
The retention rate = 1 - payout ratio. The payout ratio is the amount of earnings a company pays in dividends out of its earnings. So, payout ratio = Dividend per share/Earnings per share.
ROE can be broken down into 3 separate ratios. ROE = Profit margin(PM) X Asset turnover (AT) X equity multiplier (LEV).
Here is an example that can be used to figure out a price of a stock.Solve for value of stock with the following characteristics.
Earnings = $2/share, Dividend payout ratio(D0) = 40%, Return on market (Rm), LEV = 2, RFR = 6%, Beta (B) = 1.4, profit margin(PM) = 6%, Asset Turnover (AT) = 1.2.
So the formula is D1/K-G. We need to calculate D1, K and G plug in this formula.
First, we can calculate this years dividend by multiplying the D0 X E, which is .4 X $2 = .80. That means that the company will payout 80 cents per share this year.
To calculate the require rate of return K, we need to use the CAPM formula which was:
K = RFR + Beta(Rm - RFR). Thus, K = 6% + 1.4(12%-6%) = 14.4%.
Now that K is out of the way, growth (G) must be calculated. Recall that G = Retention rate X ROE. And ROE = profit margin (PM) X asset turnover (AT) X equity multiplier(LEV).
The dividend payout ratio was 40%, so the RR = 1-40%. The retention rate is 60%.
ROE = PM X AT X LEV, which is 6% X 1.2 X 2. ROE = 14.4
G = RR X ROE = 14.4 X .60 = 8.64%.
D1 = D0 X (1+G) = .80 X 1.0864.
Now plug in all the numbers into the formula D1/K-G and we get:
.8691/14.4% - 8.64% = $15.09.
The dividend discount model will only work on companies that pay a dividend and only if the required rate of return is higher than the growth rate. Finally, investors can use Dividend discount website to use dividend discount model to calculate the value of one of their stocks.
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