Question

A firm has issued $20 million in long-term bonds that now have 10 years remaining until maturity. The bonds carry an 8% annual coupon and are selling in the market for $877.10. The firm also has $45 million in market value of common stock. For cost of capital purposes, what portion of the firm is debt financed and what is the after-tax cost of debt, if the tax rate is 35%?

Answer 1

Answer:

6.5%

Explanation:

Market value of Bond = Par value*bonds outstanding*%age of par

= 1000*20000*0.8771

= $17,542,000

Market value of firm = Market value of Equity + Market value of Bond

= $45,000,000 + $17,542,000

= $62,542,000

Weight of debt = Market value of Bond / Market value of firm

Weight of debt = 17542000/62542000

Weight of debt = 0.2805

Yield to maturity = Rate(Nper, pmt, -Pv, fv)

Yield to maturity = Rate(10, 80, -877.1, 1000)

Yield to maturity = 0.10001541

Yield to maturity = 10.00%

After tax cost of debt = Cost of debt * (1-tax rate)

After tax cost of debt = 10.00%*(1-0.35)

After tax cost of debt = 10.00%*0.65

After tax cost of debt = 6.5%