Hale Industries currently has total capital equal to $4 million, has zero debt,
ID: 2729110 • Letter: H
Question
Hale Industries currently has total capital equal to $4 million, has zero debt, is in the 40% federalplus-state tax bracket, has a net income of $1 million, and distributes 40% of its earnings as dividends. Net income is expected to grow at a constant rate of 3% per year, 200,000 shares of stock are outstanding, and the current WACC is 12.30%.
The company is considering a recapitalization where it will issue $2 million in debt and use the proceeds to repurchase stock. Investment bankers have estimated that if the company goes through with the recapitalization, its before-tax cost of debt will be at 10% and its cost of equity will rise to 15.5%.
a. What is the stock’s current price per share (before the recapitalization)?
b. Assuming that the company maintains the same payout ratio, what will be its stock price following the recapitalization? Assume that shares are repurchased at the price calculated in part a.
Explanation / Answer
A)
Current EPS = $1,000,000÷200,000 = $5 Per share
Dividend per share = $5×40% = $2
Stock price, P0 = D1÷(r-g)
D1 is next expected dividend
r is required return
g is growth rate
= $2×(1+3%)÷(12.30%-3%)
= $22.15
B)
WACC = Wd×Rd×(1-t)+We×Ke
W is weights of respective portfolios
R is return on respective portfolios
Wd+We = 1
= 0.5×10%×(1-40%)+0.5×15.50%
= 10.75%
Number of shares repurchased:
= $2,000,000÷$22.15
= 90,293 Shares
Shares outstanding post recapitalization = 200,000-90,293 = 109,707
Net income if recapitalized:
= [($1,000,000÷60%)-$2,000,000×10%]×(1-40%)
= $880,000
Recapitalized EPS = $880,000÷109,707 = $8.02 Per share
Dividend per share = $8.02×40% = $3.21
Stock price, P0 = D1÷(r-g)
D1 is next expected dividend
r is required return
g is growth rate
= $3.21×(1+3%)÷(10.75%-3%)
= $42.64
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