Urgent Corporation had earnings per share of $4 last year, and it paid a $2 dividend.
Total retained earnings increased by $12 million during the year, and book value per
share at year-end were $40. Urgent Corporation has no preferred stock, and no new
common stock was issued during the year. If Argent’s year-end debt (which equals its
total liabilities) was $120 million, what was the company’s year-end debt/assets ratio?
We will find the authorized capital
"Number of common stock = \\frac{Retained earnings}{\n(EPS-DPS)}=\\frac{12}{4-2}=6"
"authorized capital=6\\times40=240"
"EPS=\\frac{net profit}{Number of common stock}"
"4=\\frac{net profit}{6}\n\n\u200b"
net profit=24
"Retained earnings=24+24-2\\times6=42"
liabilities=assets=240+42=282
"debt\/assets ratio=\\frac{120}{282}=0.43" or 43%
43% of the company's assets are financed by debt
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