Answer: See explanation and attachment
Explanation:
a. Return on equity:
= Pre tax earnings × (1 - Tax rate) / Total equity
= 1.5 million × (1 - 40%) / 6.3 million
= 1.5 million × (1 - 0.4) / 6.3 million
= (1.5 million × 0.6) / 6.3 million
= 0.9 million / 6.3 million
= 14.29%
b. Check attachment for Green's market value balance sheet before the announcement of the debt issue.
The price per share of the firm's equity will be:
= Equity / Number of shares
= $6300000 / 400000
= $15.75 per share
c. Check Green's market value balance sheet immediately after the announcement of the debt issue.
Green's stock price per share immediately after the repurchase announcement will be calculated thus:
We need to know the value of tax shield which will be:
= 40% × $2,000,000
= $800,000
Value of firm = $6,300,000 + $800,000
= $7,100,000
Price per share will be:
= Equity / Number of shares
= 7100000 / 400000
= $17.75 per share
d. The number of shares that Green will purchase as a result of the debt issue will be:
= Debt issue / Price per share
= 2,000,000 / 17.57
= 112,676
The number of shares of common stock that will remain after the repurchase will be:
= 400000 - 112676
= 287324
e. Check attachment for market value balance sheet after the restructuring.
The required return on Green's equity after the restructuring will be:
= 14.29% + (2000000/5100000) × (14.29% - 6%) × (1 - 40%)
= 14.29% + 0.3921 × 8.29% × 0.6
= 14.29% + 1.95%
= 16.24%
