Answer:
The WACC is 13.37%
Explanation:
The WACC or weighted average cost of capital is the cost of a firm's capital structure. The capital structure is made up of debt, preferred stock and common stock. In this question, there are only two components present in the capital structure i.e. debt and common stock.
The formula for WACC is,
WACC = wD * rD * (1 - tax rate) + wE * rE
Where,
- w represents the weight of each component in the capital structure or value of each component as a proportion of total assets
- r represents the cost of each component
- we take after tax cost of debt. So we multiply cost of debt by (1 - tax rate)
We first need to determine the cost of equity using the CAPM,
rE = 0.05 + 1.25 * 0.07 = 0.1375 or 13.75%
We know that assets = debt + equity
Assets = (0.95 * 10) + (2.8 * 50)
Assets = 9.5 + 140
Assets = 149.5 million
The WACC for ABC is:
WACC = 9.5/149.5 * 0.12 * (1 - 0.35) + 140/149.5 * 0.1375
WACC = 0.1337 or 13.37%
