Answer:
r = 0.106079 or 10.6079% rounded off to 10.61%
Explanation:
Using the constant growth model of dividend discount model, we can calculate the price of the stock today. The DDM values a stock based on the present value of the expected future dividends from the stock. The formula for price today under this model is,
P0 = D0 * (1+g) / (r - g)
Where,
D0 is the dividend paid recently
D0 * (1+g) is dividend expected for the next period /year
g is the growth rate
r is the required rate of return or cost of equity
To calculate the cost of equity (r), we will plug in the values for P0, D0 and g in the formula,
44 = 2.35 * (1+0.05) / (r - 0.05)
44 * (r - 0.05) = 2.4675
44r - 2.2 = 2.4675
44r = 2.4675 + 2.2
r = 4.6675 / 44
r = 0.106079 or 10.6079% rounded off to 10.61%
The company's cost of equity is 10.61%.
The formula that can be used to determine the cost of equity is:
r = [tex]\frac{D_{1} }{P}[/tex] - g
Where:
r = [tex]\frac{2.47}{44} + 0.05[/tex] = 10.61%
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