Question

ABC Corporation has the following capital structure: Debt                                  &nbs

ABC Corporation has the following capital structure:

Debt                                                    $35 million

Preferred Stock $20 million

Common Equity (Retained Earnings) $45 million

Yield to maturity = 12%

Tax rate = 40%

After-tax cost of debt = 7.2%

Cost of preferred stock = 8.93%

Next year dividends = $ 4share

Growth Rate = 10%

Current Price = $45/share

Cost of retained earnings = 18.89%

Risk-free rate = 5%

Return the (stock) Market = 12%

Beta = 1.5

Cost of Equity = 15.5%

Calculate the Weighted Average Cost of Debt (WACC). For the cost of retained earnings, please use the cost from Dividend Valuation Model.

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Answer #1

Market Value of each capital Components

Market Value of Debt = $35 Million

Market Value of Preferred Stock = $20 Million

Market Value of Equity = $45 Million

Total Market Value = $100 Million

The weights that would be used for a weighted average cost of capital (WACC) computation.

Weight of Debt = 0.35 [$35 Million / $100 Million]

Weight of Preferred Stock = 0.20 [$20 Million / $100 Million]

Weight of Equity = 0.45 [$45 Million / $100 Million]

After-tax Cost of Debt

The After-tax Cost of Debt is the after-tax Yield to maturity of the Bond

After Tax Cost of Debt = Yield to maturity x (1 – Tax Rate)

= 12.00% x (1 – 0.40)

= 12.00% x 0.60

= 7.20%

Cost of Preferred Stock = 8.93% (Given)

Cost of Equity

Here, we have Dividend per share in year 1 (D1) = $4.00 per share

Dividend Growth Rate (g) = 10.00% per year

Current market price of the stock (P0) = $45.00 per share

As per the Dividend Valuation Model, the Cost of equity is calculated as follows

Cost of equity = [D1 / P0] + g

= [$4.00 / $45.00] + 0.10

= 0.0889 + 0.10

= 0.1889 or

= 18.89%

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]

= [7.20% x 0.35] + [8.93% x 0.20] + [18.89% x 0.45]

= 2.52% + 1.79% + 8.50%

= 12.81%

“Hence, the Weighted Average Cost of Debt (WACC) will be 12.81%”

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