Final answer:
The value of the company's stock is $53.85 per share.
Step-by-step explanation:
A company earned $7 per share in the year that just ended. Since the company has no more growth opportunities and a 13 percent return on equity and a 13 percent cost of equity, we can use the Gordon Growth Model to determine the value of the company's stock. The Gordon Growth Model formula is:
Stock Price = Dividends per Share / (Cost of Equity - Growth Rate)
Since the company has no growth opportunities, the growth rate is 0. Plugging in the values:
Stock Price = $7 / (0.13 - 0)
Stock Price = $7 / 0.13
Stock Price = $53.85
Therefore, the value of the company's stock is $53.85 per share.