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Franks Auto is trying to determine its optimal capital structure. The companys capital structure consists of debt and common stock. In order to estimate the

Franks Auto is trying to determine its optimal capital structure. The companys capital structure consists of debt and common stock. In order to estimate the cost of debt, the company has produced the following table:

Percent financed with debt (wd)

Percent financed with equity (wc)

Debt-to-equity ratio (D/S)

Bond rating

Before-tax cost of debt

0.10

0.90

0.10/0.90 = 0.11

AAA

7.0%

0.20

0.80

0.20/0.80 = 0.25

AA

7.2

0.30

0.70

0.30/0.70 = 0.43

A

8.0

0.40

0.60

0.40/0.60 = 0.67

BBB

8.8

0.50

0.50

0.50/0.50 = 1.00

BB

9.6

The company uses the CAPM to estimate its cost of common equity, rs. The risk-free rate is 5% and the market risk premium is 6%. Aaron estimates that if it had no debt its beta would be 1.0. (Its unlevered beta, bU, equals 1.0.) The companys tax rate, T, is 40%.

On the basis of this information, what is the companys optimal capital structure, and what is the firms cost of capital at this optimal capital structure?

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