Using the Gordon growth model, what is the current price of a stock that: Paid $1 dividend last period and $1.02 this period.Is compared to return on equity of 5% per period.
Question
Using the Gordon growth model, what is the current price of a stock that: Paid 1.02 this period.Is compared to return on equity of 5% per period.
Solution
The Gordon Growth Model is a model to determine the intrinsic value of a stock, excluding external factors. The model assumes that dividends grow at a constant rate indefinitely. The formula is:
P = D / (r - g)
where: P = price of the stock D = Dividend payment of the next period r = required rate of return for the equity investor g = growth rate in dividends
In this case, the dividend growth rate (g) can be calculated as follows:
g = (D1 - D0) / D0 g = (1.02 - 1) / 1 = 0.02 or 2%
The required rate of return (r) is given as 5% or 0.05.
Substituting these values into the Gordon Growth Model formula, we get:
P = D / (r - g) P = 1.02 / (0.05 - 0.02) P = 1.02 / 0.03 P = $34
So, the current price of the stock, according to the Gordon Growth Model, is $34.
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