Here i sit sofas has 7,100 shares of common stock outstanding at a price of $94 per share. there are 600 bonds that mature in 30 years with a coupon rate of 6.8 percent paid semiannually. the bonds have a par value of $2,000 each and sell at 108.5 percent of par. the company also has 6,000 shares of preferred stock outstanding at a price of $47 per share. what is the capital structure weight of the debt?

Weight of debt = 57.83 %

Explanation:

given data

number of shares =  7,100

price = $94 per share

number of bonds = 600

mature time = 30 year s

coupon rate = 6.8 percent

bonds par value = $2,000

sell = 108.5 percent

stock outstanding = 6,000 shares

stock outstanding price = $47 per share

to find out

capital structure weight of the debt

solution

first we get here Equity market value that is express as

Equity market value = number of shares × price per share

Equity market value = 7100 × $94

Equity market value = $667,400

and  

current debt value will be here as

current debt value = number of bonds × price per bond

current debt value = 600 × (1.085 × 2000)

current debt value = $1,302,000

and now Preferred stock value will be

Preferred stock value = stock outstanding × stock outstanding price

Preferred stock value = 6,000  × $47

Preferred stock value = $282000

and total capital will be as  

Total capital = Equity market value + current debt value + preferred stock value ..................1

put here value

Total capital =  $667,400 +  $1,302,000 + $282000

total capital = $2251400

so here Weight of debt will be

Weight of debt = debt value ÷ total capital ..............2

Weight of debt =

Weight of debt = 0.578306

Weight of debt = 57.83 %

c

explanation:

b is the correct answer