A clinic has obtained the following estimates for its costs of debt and equity a
ID: 2715542 • Letter: A
Question
A clinic has obtained the following estimates for its costs of debt and equity at various capital structures:
% Debt After-tax Cost of Debt Cost of Equity
0% -- 16%
20 7.0 17
40 8.5 18
60 10.0 20
70 13.0 24
What is the firm’s optimal capital structure?
Calculate its corporate cost of capital at each structure
Explanation / Answer
The firm’s optimal capital structure is 60% Debt & 40% Equity in the given struture below
Corporate cost of capital at each structure :
0 % Debt
WACC = Cost of Equity
WACC = 16%
20 % Debt
WACC = Weight of Debt*After-tax Cost of Debt + (1-Weight of Debt)*Cost of Equity
WACC = 20%*7 + (1-20%)*17
WACC = 15%
40 % Debt
WACC = Weight of Debt*After-tax Cost of Debt + (1-Weight of Debt)*Cost of Equity
WACC = 40%*8.5 + (1-40%)*18
WACC = 14.20%
60 % Debt
WACC = Weight of Debt*After-tax Cost of Debt + (1-Weight of Debt)*Cost of Equity
WACC = 60%*10 + (1-60%)*20
WACC = 14.00%
70 % Debt
WACC = Weight of Debt*After-tax Cost of Debt + (1-Weight of Debt)*Cost of Equity
WACC = 70%*13 + (1-70%)*24
WACC = 16.30%
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