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Problem 13-10 Calculating WACC [LO 1] Crosby Industries has a debt-equity ratio

ID: 2753139 • Letter: P

Question

Problem 13-10 Calculating WACC [LO 1]

Crosby Industries has a debt-equity ratio of 1.1. Its WACC is 12 percent, and its cost of debt is 5 percent. There is no corporate tax.

What is Crosby’s cost of equity capital? (Do not round intermediate calculations. Input your answer as a percentage rounded to 2 decimal places (e.g., 32.16).)

What would the cost of equity be if the debt-equity ratio were 2? (Do not round intermediate calculations. Input your answer as a percentage rounded to 2 decimal places (e.g., 32.16).)

What would the cost of equity be if the debt-equity ratio were 0.6? (Do not round intermediate calculations. Input your answer as a percentage rounded to 2 decimal places (e.g., 32.16).)

What would the cost of equity be if the debt-equity ratio were zero? (Do not round intermediate calculations. Input your answer as a percentage rounded to 2 decimal places (e.g., 32.16).)

Crosby Industries has a debt-equity ratio of 1.1. Its WACC is 12 percent, and its cost of debt is 5 percent. There is no corporate tax.

Explanation / Answer

Requirement 1

Weighted average cost of capital = (Cost of equity x equity proportion) + (cost of debt x debt proportion)

Debt equity ratio = 1.1 which means 52% debt and 48% equity

WACC = 12%

12% = (Cost of equity x 48%) + ( 5% x 52%)

Cost of equity = (12% - 2.6%)/ 48%

Cost of equity = 19.58%

Requirement 2

a) If debt equity ratio is 2 which means debt is twice of equity

12% = Cost of equity x 33.3% + 5% x 66.7%

Cost of equity = (12% - 3.33%)/33.3% = 26%

b) Debt equity ratio at 0.6

Debt = 37.5% and Equity = 67.5%

Cost of equity = (12% - (5% x 37.5%)/67.5% = 15%

(c) Debt equity ratio is 0 means the equity is 100%

Hence cost of equity = 12%