Answer:
$5,412,000
Explanation:
Given:
Long-term debt (bonds, at par):$10,000,000
Preferred stock :2,000,000
Common stock ($10 par): 10,000,000
Retained earnings: 4,000,000
Total debt and equity :$26,000,000
Coupon rate = 4%(semi annually)
Par value = $1000
YTM = 12%
Required:
Find the current market value of the firm's debt.
Find the bond price:
Bond price [tex] = (C * (\frac{1 - (\frac{1}{(1+i)^n})}{i}) + (\frac{m}{(1+i)^n}) [/tex]
[tex] = (C * (\frac{1 - (\frac{1}{(1+0.06)^2^0})}{0.06}) + (\frac{1000}{(1+0.06)^2^0}) [/tex]
[tex] = 541.20 [/tex]
Bond price = $541.20
Find number of bonds:
Number of bonds [tex] = \frac{10,000,000}{1,000} = 10,000[/tex]
Now, to find the current market value of the firm's debt, use:
Current market value of debt = number of bonds × bond price
= 10,000 × 541.20
= $5,412,000
Current market value of the firm's debt = $5,412,000
