Answer:
The cost of common equity from reinvested earnings is 11.84%
Step-by-step explanation:
The constant growth model of DDM or DCF approach is used to calculate the price of a stock today whose dividends are expected to grow at a constant rate forever. The model values the stock based on the present value of the expected future dividends form the stock.
The formula for price today under this model is,
P0 = D0 * (1+g) / (r - g)
Where,
- P0 is price today
- D0 is the dividend today
- r is the cost of equity
- g is the growth rate in dividends
Plugging in the available values for all the variables, we can calculate the r or cost of common equity to be,
22.5 = 0.8 * (1+0.08) / (r - 0.08)
22.5 * (r - 0.08) = 0.864
22.5r - 1.8 = 0.864
22.5r = 0.864 + 1.8
r = 2.664 / 22.5
r = 0.1184 or 11.84%