Answer:
WACC = 0.10890 or 10.890%
Step-by-step explanation:
The WACC or weighted average cost of capital is the cost of a firm's capital structure which contain either one or more of the following namely debt, preferred stock and common equity.
For a firm containing only two components namely debt and common equity, the formula for WACC is,
WACC = wD * rD * (1-tax rate) + wE * rE
Where,
- w represents the weight of each component
- r represents the cost of each component
First we will calculate the weights of each component and the cost of equity.
Total value of common equity = 20 * 5 million = $100 million
Total value of debt = $50 * 780/1000 = $39 million
Total value of capital structure = 100 + 39 = 139 million
wD = 39 / 139
wE = 100 / 139
Using CAPM we calculate the cost of equity to be,
rE = 0.03 + 1.5 * (0.1 - 0.03) = 0.135 or 13.5%
WACC = 39/139 * 0.07 * (1 - 0.4) + 100/139 * 0.135
WACC = 0.10890 or 10.890%