Question

The risk-free rate of return is 7.5%, the expected rate of return on the market portfolio is 14%, and the stock of Xyrong Corporation has a beta coefficient of 2.8. Xyrong pays out 40% of its earnings in dividends, and the latest earnings announced were $25 per share. Dividends were just paid and are expected to be paid annually. You expect that Xyrong will earn an ROE of 16% per year on all reinvested earnings forever.What is the intrinsic value of a share of Xyrong stock?if the market price of a share is currently $67, and you expect the market price to be equal to the intrinsic value one year from now, calculate the price of the share after one year from now.What is your expected one-year holding-period return on Xyrong stock?

Answer 1

The intrinsic value of a share of Xyrong stock = $68.075.

the expected one-year holding-period return on Xyrong stock = 0.27716.

Step-by-step explanation:

Without mincing words, let's dive straight into the solution to the question above:

The intrinsic value of a share of Xyrong stock can be calculated as given below;

The intrinsic value of a share of Xyrong stock = [ (1 + growth rate) × G° ] ÷ (cost of equity - growth rate). -------------------(1).

=> Where, growth rate = 16%( 1 - 0.4) = 9.6% = 0.96.

=> Cost of equity = 2.8( 14 - 7.5) + 7.5 = 25.7% = 0.257.

Thus, slotting in the values into the equation (1) above, we have;

The intrinsic value of a share of Xyrong stock = [ (1 + growth rate) × G° ] ÷ (cost of equity - growth rate).

The intrinsic value of a share of Xyrong stock = [( 1 + 0.96) × 10] ÷ (0.257 - 0.96) = $68.075.

Hence, the expected one-year holding-period return on Xyrong stock = G° × ( 1 + growth rate) + [ (The intrinsic value of a share of Xyrong stock) × (1 + growth rate )] - market price of share ÷ market price of share.

= [ 10 × ( 1 + 0.96) + {$68.075 × (1 + 0.96)} - 67] ÷ 67 = 0.27716.