Ace Industrial Machines issued 145,000 zero coupon bonds 7 years ago. The bonds originally had 30 years to maturity with a yield to maturity of 6.2 percent. Interest rates have recently decreased, and the bonds now have a yield to maturity of 5.3 percent. The bonds have a par value of $2,000. If the company has a $81 million market value of equity, what weight should it use for debt when calculating the cost of capital? (Do not round intermediate calculations and round your answer to 4 decimal places, e.g., .1616.)
Calculation of price of bond:
FV = 2000
Nper = (30 - 7) * 2 = 46
Rate = 5.3% / 2
PMT = 0
Price of the bond can be calculated by using the following excel
formula:
=PV(rate,nper,pmt,fv)
=PV(5.3%/2,46,0,-2000)
= $600.51
Market value of debt = Price of the bond * Number of bonds
= $600.51 * 145,000
= $87,073,525.21
Weight of debt = Market value of debt / (Market value of debt +
Market value of equity)
= $87,073,525.21 / ($87,073,525.21 + $81,000,000)
= 0.5181
Weight of debt = 0.5181
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