Answer:
P0 = $33.9085 rounded off to $33.91
Step-by-step 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
First we need to calculate the required rate of return or r using the CAPM.
Using the CAPM, we can calculate the required/expected rate of return on a stock. This is the minimum return required by the investors to invest in a stock based on its systematic risk, the market's risk premium and the risk free rate.
The formula for required rate of return under CAPM is,
r = rRF + Beta * rpM
Where,
rRF is the risk free rate
rpM is the market risk premium
r = 0.03 + 1.2 * 0.06
r = 0.102 or 10.2%
Now using the formula for P0 under the constant dividend growth model,
P0 = 2.3 * (1+0.032) / (0.102 - 0.032)
P0 = $33.9085 rounded off to $33.91