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Whole Fresh Supermarkets have a cost of equity of 10 percent and a pre-tax cost of debt of 5 percent. The return unlever...

Whole Fresh Supermarkets have a cost of equity of 10 percent and a pre-tax cost of debt of 5 percent. The return unlevered is 6.82 What is the firm’s DE?

A. 2.00

B. 1.50

C. 2.25

D. 1.00

E. 1.75

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Answer #1

let the amount of equity be x

return unlevered  = cost of equity * x + cost of debt * (1 - x)

6.82 = 10 * x + 5 * (1 - x)

5x = 1.82

x = .364

amount of equity = .364

thus amount of debt = 1 - x

= .636

Which gives debt to equity ratio = .636/.364

= 1.75

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