Question

If the expected earnings per share are $12, what is the implied value of the ROE on future investment opportunities?

Answer 1

15%

Step-by-step explanation:

The computation of the implied value of the ROE is as follows:

As we know that

Growth rate = (RoE) × (1 - dividend payout ratio)

where,

The Growth rate is 5%

Dividend payout ratio = dividend per share ÷ earning per share

= $8 ÷ $12

= 66.66667%

Now

Growth rate = ROE × retention ratio

5% = ROE × (1 - dividend payout ratio)

5% = ROE × (1 - 0.666667)

ROE = 5% ÷ 1 - 0.666667

= 5% ÷ 0.333333

= 15%