Question

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Discovery Manufacturing, Inc. has 2,550,000 shares of common stock outstanding. The current share price is $115.67,...

Discovery Manufacturing, Inc. has 2,550,000 shares of common stock outstanding. The current share price is $115.67, and the book value per share is $13.73. Discovery also has two bond issues outstanding. The first bond issue has a face value (or book value) of $5,640,900 and a coupon rate of 6.25% and sells for 104.1% of PAR value. The second issue has a face value (or book value) of $6,464,100 and a coupon rate of 7.60% and sells for 92.2% of PAR value. The 6.25% coupon bond matures in 21 years, the 7.60% coupon bond matures in 9 years. Both bonds make semiannual payments. The tax rate is 31.5%.
Suppose Discovery’s stock has a beta of 1.14. The 10-year Treasury Note rate is 3.14%, and the market risk premium is 11.14%. Assume that the overall cost of debt is the weighted average implied by the two outstanding debt issues.
What is Discovery’s Weighted Average Cost of Capital (WACC)?
DATA INPUT
6.25% Coupon Bond 7.60% Coupon Bond
Face Value (or book value) $5,640,900 $6,464,100
Coupon rate 6.25% 7.60%
Bond price (% of PAR) 104.1% 92.2%
Term to maturity (years) 21 9
Tax rate 31.50% 31.50%
Common Stock
# Shares outstanding               2,550,000
Market value per share $115.67
Beta 1.14
10-year Treasury Note Rate (rRF) 3.14%
Market risk premium (rPM) 11.14%

Required figures in yellow

After-Tax
COST
Current Market Values ($) Market Value WEIGHT (%) Weighted Cost
6.25% Coupon Bond 0.000% $0 0.000% 0.00000%
7.60% Coupon Bond 0.000% $0 0.000% 0.0000%
Common Stock 0.000% $0 0.000% 0.0000%
TOTALS $0 0.000%
WACC = 0.000%

Solutions

Expert Solution

DATA INPUT
6.25% Coupon Bond 7.60% Coupon Bond
Face Value (or book value) $5,640,900 $6,464,100
Coupon rate 6.25% 7.60%
Bond price (% of PAR) 104.10% 92.20%
$            5,872,177 $   5,959,900
Term to maturity (years) 21 9
Tax rate 31.50% 31.50%
Cost of Bonds
Interest (1 - Tax Rate) 241,501 336,521
Cost of Bonds (Interest / Face Value of Bonds) 4.28% 5.21%
Common Stock
# Shares outstanding 2,550,000
Market value per share $115.67
Total Market Value (Market Value per Share x # Shares outstanding $294,958,500
Beta 1.14
10-year Treasury Note Rate (rRF) 3.14%
Market risk premium (rPM) 11.14%
Cost of Equity Rf + Beta(Rm - Rf) 12.26%
Required figures in yellow
After-Tax Current Market Values ($) Market Value WEIGHT (%) (Current Market Value / Total All Securities' Market Values) Weighted Cost (Market Value Weight x After Tax Cost)
COST
6.25% Coupon Bond 4.28% $5,872,177 1.91% 0.08%
7.60% Coupon Bond 5.21% $5,959,900 1.94% 0.10%
Common Stock 12.26% $294,958,500 96.14% 11.79%
TOTALS $0 0.00%
WACC = 11.97%

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