Question

The risk-free rate of return is 10.5%, the expected rate of return on the market portfolio is 17%, and the stock of Xyrong Corporation has a beta coefficient of 1.5. Xyrong pays out 50% of its earnings in dividends, and the latest earnings announced were $13 per share. Dividends were just paid and are expected to be paid annually. You expect that Xyrong will earn an ROE of 24% per year on all reinvested earnings forever. a. What is the intrinsic value of a share of Xyrong stock

Answer 1

$88.24

Step-by-step explanation:

The computation of the intrinsic value of a share of Xyrong stock is shown below;

k = risk free rate of retunr+ beta[expected market rate of return - risk free rate of return]

= 10.5% + 1.5(17% - 10.5%)

= 20.25%

Now

growth rate = b × ROE

= .5 × 24%

= 12%

Now the intrinsic value of the stock is

= (($13 × 50%) × (1 + 0.12)) ÷ (0.2025 - 0.12)

= $88.24