Final answer:
The expected return on the stock, after Windows Phone Corp. issues an additional $9 million of debt to retire common stock, is 9.28%.
Step-by-step explanation:
When Windows Phone Corp. issues an additional $9 million of debt and uses this money to retire common stock, the expected return on the stock can be calculated using the Weighted Average Cost of Capital (WACC) formula. The WACC under the initial capital structure is 7.86%. The formula for WACC is:
WACC = (Weight of Debt * Cost of Debt) + (Weight of Equity * Cost of Equity)
In this case, the debt is retired using the additional debt issued, so the weight of debt becomes 0. The weight of equity becomes the initial equity value divided by the new total capital structure:
Weight of Equity = Common Stock Value / (Common Stock Value + Additional Debt)
Substituting the values into the WACC formula, we can calculate the expected return on the stock:
Expected Return on Stock = (Weight of Equity * Cost of Equity)
Let's calculate the expected return:
Common Stock Value = $48 million
Additional Debt = $9 million
Total Capital Structure = Common Stock Value + Additional Debt = $48 million + $9 million = $57 million
Weight of Equity = $48 million / $57 million = 0.8421
Cost of Equity = 11%
Expected Return on Stock = 0.8421 * 11% = 9.2757%
Therefore, the expected return on the stock will be 9.28%.