Final answer:
The weighted average cost of capital is a financial metric that represents the average rate of return required by investors for investing in a company. It takes into account the cost of both equity and debt financing. In this case, the weighted average cost of capital is 6.67%.
Step-by-step explanation:
The weighted average cost of capital is a financial metric that represents the average rate of return required by investors for investing in a company. It takes into account the cost of both equity and debt financing. To calculate the weighted average cost of capital:
- Calculate the weight of each component (common stock and debt) by dividing the value of each component by the total value of all components of capital.
- Multiply the weight of each component by the required rate of return for that component.
- Add up the weighted returns for all components to get the weighted average cost of capital.
In this case, the weighted average cost of capital would be:
Weight of equity = $48 million / ($48 million + $31 million) = 0.607
Weight of debt = $31 million / ($48 million + $31 million) = 0.393
Weighted average cost of capital = (0.607 * 11%) + (0.393 * 3%) = 6.67%