Question

Ace Industrial Machines issued 165,000 zero coupon bonds 6 years ago. The bonds originally had 30 years to maturity with a yield to maturity of 6.4 percent. Interest rates have recently decreased, and the bonds now have a yield to maturity of 5.5 percent. The bonds have a par value of $2,000. If the company has a $84.2 million market value of equity, what weight should it use for debt when calculating the cost of capital

Answer 1

Answer:

0.5202

Explanation:

Calculation to determine what weight should it use for debt when calculating the cost of capital

First step is to compute the Present value (PV) using financial calcualtor -

Put in calculator-

FV 2000

PMT 0

I 5.50%

N 24( 30 years- 6 years)

Compute PV ($553.31)

Second step is to calculate the Total value of debt

Price of bond = $553.31

*Number of bond = $165,000

=Total value of debt $91,296,150

($553.31*165,000)

Now let calculate the Weight of debt

Weight of debt =$91,296,150/($91,296,150+$84,200,000)

Weight of debt=$91,296,150/175,496,150

Weight of debt=0.5202

Therefore weight should it use for debt when calculating the cost of capital is 0.5202