Answer:
As the WACC is more than 7.5%, option D is the correct answer.
Explanation:
The weighted average cost of capital or WACC is the cost of a firm's capital structure. To calculate the WACC, we multiply the weight of each component of the capital structure by the cost of that component. The components of capital structure can be one or all of the following namely debt, preferred stock and common stock.
The formula for WACC is,
WACC = wD * rD * (1-tax rate) + wP * rP + wE * rE
Where,
- w represents the weight of each component
- r represents the cost of each component
- D, P and E represents debt, preferred stock and common stock respectively
First we need to determine the cost of debt and equity for this firm.
We use the market value of debt and thus, rate for the calculation of WACC.
The cost of debt will be its yield to maturity as it is the current rate or cost. Thus, rD will be 6%.
The cost of equity can be determined using the constant growth model of DDM 's formula for prcie today.
P0 = D0 * (1+g) / (r - g)
80 = 5 * (1+0.05) / (r - 0.05)
80 * (r - 0.05) = 5.25
80r - 4 = 5.25
80r = 5.25 + 4
r = 9.25 / 80
r = 0.115625 or 11.5625%
WACC = 0.5 * 0.06 * (1-0.3) + 0.5 * 0.115625
WACC = 0.0788125 or 7.88125%
As the WACC is more than 7.5%, option D is the correct answer.
