Bennington Industrial Machines issued 153,000 zero coupon bonds six years ago. T
ID: 2766522 • Letter: B
Question
Bennington Industrial Machines issued 153,000 zero coupon bonds six years ago. The bonds originally had 30 years to maturity with a yield to maturity of 7.3 percent. Interest rates have recently increased, and the bonds now have a yield to maturity of 8.4 percent.
What is the price of the bonds? (Do not round intermediate calculations. Round your answer to 2 decimal places (e.g., 32.16).)
What is the market value of the company's debt? (Do not round intermediate calculations. Round your answer to 2 decimal places (e.g., 32.16). Enter your answer in dollars, not millions of dollars (e.g., 1,234,567).)
If the company has a $46.8 million market value of equity, what weight should it use for debt when calculating the cost of capital? (Do not round intermediate calculations. Round your answer to 4 decimal places (e.g., 32.1616).)
Bennington Industrial Machines issued 153,000 zero coupon bonds six years ago. The bonds originally had 30 years to maturity with a yield to maturity of 7.3 percent. Interest rates have recently increased, and the bonds now have a yield to maturity of 8.4 percent.
Explanation / Answer
We have:
FV = 1,000
N =30-6 = 24
R= 7.30%
We have following formula for price of the bond:
PV = FV / (1+r)^n
= 1,000 / (1+0.0840)^24
= 144.31
Market value of debt = 144.31 x 153,000
= 22,079,470.69
Weight of debt = market value of debt / total assets
= 22,079,470.69 / (22,079,470.69+ 46,800,000)
= 0.3206
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