Question

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The following market information was gathered for the Rogue Corporation. The firm has​ 5,000 bonds​ outstanding,...

The following market information was gathered for the Rogue Corporation. The firm has​ 5,000 bonds​ outstanding, each selling for​ $1,050.00 with a required rate of return of​ 7.00%. Rogue has​ 3,000 shares of preferred stock​ outstanding, selling for​ $60.00 per share and​ 80,000 shares of common stock​ outstanding, selling for​ $24.00 per share. If the preferred stock has a required rate of return of​ 9.00% and the common stock requires a​ 11.00% return, and the firm has a corporate tax rate of​ 20%, calculate the​ firm's WACC adjusted for taxes.

Solutions

Expert Solution

Weight of capital components to total market value

Capitals

Number of Bonds/Shares

Market Value per Bond/Share

Market Value

[ Number of Bonds or Shares x Market Value per Bond or Share

Weight to total market value

[Market Value / Total Capital]

Bond

5,000

1,050

52,50,000

0.7143

Preferred Stock

3,000

60

1,80,000

0.0245

Common Stock

80,000

24

19,20,000

0.2612

73,50,000

1.0000

TOTAL

73,50,000

1.0000

Rogue Corporation’s Weighted Average Cost of Capital (WACC)

Weighted Average Cost of Capital (WACC) = [After Tax Cost of Debt x Weight of Debt] + [Cost of Preferred stock x Weight of preferred stock] + [Cost of equity x Weight of Equity]

= [7.00%(1 – 0.20) x 0.7143] + [9.00% x 0.0245] + [11.00% x 0.2612]

= [5.60% x 0.7143] + [9.00% x 0.0245] + [11.00% x 0.2612]

= 4.00% + 0.22% + 2.87%

= 7.09%

“Hence, the Weighted Average Cost of Capital (WACC) adjusted for taxes will be 7.09%”


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