Answer:
rE = 0.104 or 10.4%
Explanation:
The WACC or weighted average cost of capital is the cost of a firm's capital structure. The capital structure can consist of one or more of the following components namely debt, preferred stock and common equity. The WACC is calculated as follows,
WACC = wD * rD * (1 - tax rate) + wP * rP + wE * rE
Where,
plugging in the available values for wD, wE, tax rate, rD and WACC in the formula above, we can calculate the cost of common equity to be,
0.096 = 0.4 * 0.12 * (1 - 0.3) + 0.6 * rE
0.096 = 0.0336 + 0.6 * rE
0.096 - 0.0336 = 0.6 * rE
0.0624 / 0.6 = rE
rE = 0.104 or 10.4%