An analyst gathers the following information about the cost and availability of
raising various amounts of new debt and equity capital for a company:
Amount of new debt (in millions) |
Cost of debt (after tax) |
Amount of new equity (in millions) |
Cost of equity |
|
≤ €4.0 > €4.0 |
4% 5% |
≤ €5.0 > €5.0 |
13% 15% |
The company’s target capital structure is 60 percent equity and 40 percent debt. If the company raises €9.5 million in new financing, the marginal cost of capital is closest to:
A. 9.8%.
B. 10.6%.
C. 11.0%.
D. 11.7%
First we have to find out the break even points for debt and equity
Break even point for Debt = 4 mil / Target debt percent
= 4 mil / 0.4
= 10 mil
Break even point for Equity = 5 mil / Target equity percent
= 5 mil / 0.6
= 8.33 mil
Now the company raises 9.5 mil in new financing
9.5 mil is below the Debt break even point , so cost of debt(after tax) = 4%
9.5 mil is above the Equity break even point , so cost of equity = 15%
The WACC or marginal cost of capital = weight of debt * after tax cost of debt + weight of equity * cost of equity
= 0.4 * 4 + 0.6*15
= 10.6 %
B) 10.6 %
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