Question

The market capitalization treasure on the stock of flex steel company is 12%. the expected ROE is 13% and the expected EPS are 3.60. if the firms plow back ratio is 50% the PE ratio will be?
7.69, 8.33, 9.09, 11.11

torque corporation is expected to pay a dividend of $1 in the upcoming year. dividends are expected to grow at a rate of 6% per year. the risk free rate of return is 5% and the expected return on the market portfolio is 13%. the stock of torque corporation has a beta of 1.2. what is the return you should require on torque stock?

12%, 14.6%, 15.6%, 20%

Answer 1

Answer:

a. ROE (r) = 13% = 0.13

EPS = $3.60

Expected dividend (D1) = 50% x $3.60 = $1.80

Plowback ratio (b) = 50% = 0.50

Cost of equity (ke) = 12% = 0.12

Growth rate = r x b

Growth rate = 0.13 x 0.50 = 0.065

Po= D1/Ke-g

Po = $1.80/0.12-0.065

Po = $1.80/0.055

Po = $32.73

P/E ratio = Current market price per share

                  Earnings per share

P/E ratio = $32.73

                 $3.60

P/E ratio = 9.09        

b.  ER(S) = Rf + β(Rm - Rf)

    ER(S) = 5 + 1.2(13 - 5)

    ER(S) = 5 + 9.6

    ER(S) = 14.6%

                                                                                                                                                                                                                                                                                                                                                                                     

Explanation:

In the first part of the question, there is need to calculate the expected dividend, which is dividend pay-our ratio of 50% multiplied by earnings per share. We also need to calculate the growth rate, which is plowback ratio multiplied by ROE. Then, we will calculate the current market price, which equals expected dividend divided by the difference between return on stock (Ke) and growth rate. Finally, the price-earnings ratio is calculated as current market price per share divided by earnings per share.

In the second part of the question, Cost of equity (return on stock) is a function of risk-free rate plus beta multiplied by market risk-premium. Market risk premium is market return minus risk-free rate.