Question

As the assistant to the CFO of Johnstone Inc., you must estimate its cost of common equity. You have been provided with the following data: D 0 = $0.80; P 0 = $22.50; and g = 8.00% (constant). Based on the DCF approach, what is the cost of common from reinvested earnings?

Answer 1

Answer:

The cost of common equity from reinvested earnings is 11.84%

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%