Skolits Corporation has a cost of equity of 11.1% and an aftertax cost of debt of 4.23%. The company's balance sheet lists long-term debt of 305,000 and equity of 565,000. The company's bonds sell for 95.3% of par and the market -to-book ratio is 2.59 times. if the company's tax rate is 22%, what is the WACC?

Finance

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Step-by-step solution

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To calculate the Weighted Average Cost of Capital (WACC), we can use the following formula:

WACC=(EV×re)+(DV×rd×(1−T))\text{WACC} = \left( \frac{E}{V} \times r_e \right) + \left( \frac{D}{V} \times r_d \times (1 - T) \right)

Where:

  • EE = market value of equity
  • DD = market value of debt
  • VV = total market value of the firm (E + D)
  • rer_e = cost of equity
  • rdr_d = cost of debt
  • TT = tax rate
  1. Calculate Market Value of Equity (E)

    Given the book value of equity is $565,000 and the market-to-book ratio is 2.59:

    E=Book Value of Equity×Market-to-Book Ratio=565,000×2.59=1,465,350E = \text{Book Value of Equity} \times \text{Market-to-Book Ratio} = 565,000 \times 2.59 = 1,465,350
  2. Calculate Market Value of Debt (D)

    The bonds sell for 95.3% of par. Assuming the par value of the debt is $305,000:

    D=Book Value of Debt×Selling Price Percentage=305,000×0.953=290,615D = \text{Book Value of Debt} \times \text{Selling Price Percentage} = 305,000 \times 0.953 = 290,615
  3. Calculate Total Market Value (V)

    V=E+D=1,465,350+290,615=1,755,965V = E + D = 1,465,350 + 290,615 = 1,755,965
  4. Calculate WACC

    Now we can substitute the values into the WACC formula:

    • re=11.1%=0.111r_e = 11.1\% = 0.111
    • rd=4.23%=0.0423r_d = 4.23\% = 0.0423
    • T=22%=0.22T = 22\% = 0.22
    WACC=(1,465,3501,755,965×0.111)+(290,6151,755,965×0.0423×(1−0.22))\text{WACC} = \left( \frac{1,465,350}{1,755,965} \times 0.111 \right) + \left( \frac{290,615}{1,755,965} \times 0.0423 \times (1 - 0.22) \right)

    Calculating each component:

    1. Equity portion:
    1,465,3501,755,965×0.111≈0.0906\frac{1,465,350}{1,755,965} \times 0.111 \approx 0.0906
    1. Debt portion:
    290,6151,755,965×0.0423×0.78≈0.0065\frac{290,615}{1,755,965} \times 0.0423 \times 0.78 \approx 0.0065

    Final WACC Calculation:

    WACC≈0.0906+0.0065≈0.0971 or 9.71%\text{WACC} \approx 0.0906 + 0.0065 \approx 0.0971 \text{ or } 9.71\%

    Thus, the WACC for Skolits Corporation is approximately 9.71%.

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