Question

Green Roof Foods currently has a debt-to-equity ratio of .63, its cost of equity is 13.6 percent, and its pretax cost of debt is 7.8 percent. The tax rate is 35 percent and the risk-free rate is 3.1 percent. The firm's preferred capital structure consists of 50 percent debt. What discount rate should be assigned to a new project the firm is considering if the project is equally as risky as the overall firm and will be financed solely with equity?

a. 7.80%.
b. 9.76%.
c. 5.07%.
d. 9.34%.
e. 10.70%.

Answer 1

d.9.34%

Step-by-step explanation:

The formula for the weighted average cost of capital is provided below as a starting point for solving this question:

WACC=(weight of equity*cost of equity)+(weight of debt*after-tax cost of debt)

weight of equity=1-debt %=1-50%=50%

weight of debt=50%

cost of equity=13.6%

after-tax cost of debt=7.8%*(1-35%)

after-tax cost of debt=5.07%

WACC=(50%*13.6%)+(50%*5.07%)

WACC=9.34%

The discount rate is computed based on the target or preferred capital structure