Question

The risk-free rate of return is 5.5%, the expected rate of return on the market portfolio is 17%, and the stock of Xyrong Corporation has a beta coefficient of 2.7. Xyrong pays out 25% of its earnings in dividends, and the latest earnings announced were $10.00 per share. Dividends were just paid and are expected to be paid annually. You expect that Xyrong will earn an ROE of 18% per year on all reinvested earnings forever.
a. What is the intrinsic value of a share of Xyrong stock? (Do not round intermediate calculations. Round your answer to 2 decimal places. Omit the "$" sign in your response.)
Intrinsic value $
b. If the market price of a share is currently $8.00, and you expect the market price to be equal to the intrinsic value 1 year from now, what is your expected 1-year holding-period return on Xyrong stock?(Do not round intermediate calculations. Round your answer to 2 decimal places. Omit the "%" sign in your response.)
Expected one-year holding-period return %

Answer 1

Answer:

1. $12.31

2. -11.96%

Explanation:

a) Calculation to determine the intrinsic value of a share of Xyrong stock

First step is to calculate the Required Return

Using this formula

Required Return = Risk-free Rate + [Beta * (Expected Market Return - Risk-free Rate)]

Let plug in the formula

Required Return= 5.5% + [2.7 * (17% - 5.5%)]

Required Return= 5.5% + 31.05% = 36.55%

Second step is to calculate g using this formula

g = ROE * (1 - Payout Ratio)

Let plug in the formula

g= 18% * (1 - 0.25)

g= 13.5%

D0 = EPS0 * Payout Ratio = $10 * 0.25 = $2.50

P0 = [D0 * (1 + g)] / [r - g]

= [$2.50 * (1 + 0.135)] / [0.3655 - 0.135]

= $2.8375 / 0.2305 = $12.31

b). Holding Period Return = [P1 + D1 - P0] / P0

= [$8 + $2.8375 - $12.31] / $12.31 = -$1.4727 / $12.31 = -0.1196, or -11.96%