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Johnson Fuel Systems has a weighted average cost of capital of 7

Finance Nov 02, 2020

Johnson Fuel Systems has a weighted average cost of capital of 7.35%. Estimate Johnson's cost of equity given the following information: The firm's effective tax rate is 25%, they have an equal mix of debt and equity, the required return on the market portfolio is 9%, Johnson has a before-tax cost of debt of 6%, and the risk-free rate of return is 3%.

Expert Solution

Computation of Johnson's Cost of Equity:

GIven,

Weighted Average Cost of Capital = 7.35%

Equal mix of equity and debt , which means that Weight of Debt = 0.50 and Weight of Equity =0.50

After Tax Cost of Debt = Before Tax Cost *(1-Tax Rate) = 6%*(1-0.25)= 4.5%

 

Weighted Average Cost of Capital = (Cost of Equity*Weight of Equity)+(After Tax Cost of Debt*Weight of Debt)

7.35% = (Cost of Equity * 0.50)+(4.5%*0.50)

7.35% = (Cost of Equity * 0.50)+ 2.25%

Cost of Equity * 0.50 = 7.35%-2.25%

Cost of Equity = 5.10%/0.50 = 10.20%

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