A company is going to issue a $1,000 par value bond that pays a 5% annual coupon. The company expects investors to pay $684.5 for the 20-year bond. The expected flotation cost per bond is $50, and the firm is in the 45% tax bracket. Compute the firm's after-tax cost of new debt. Round your calculations to the nearest 0.01%. Group of answer choices

After tax cost of debt is 4.96%

Explanation:

In order to compute the after-tax cost of debt, the yield to maturity to maturity which is pre-tax cost of debt needs to determined first of all using the rate formula in excel as provided below:

=rate(nper,pmt,-pv,fv)

nper is the time to maturity of the bond which is 20 years

pmt is the annual coupon receivable by investors $1000*5%=$50

pv is the current price of the bond less flotation cost per bond i.e($684.5-$50)=$634.5

fv is the future value of $1000 per bond

=rate(20,50,-634.5,1000)

rate=9.01%

after tax cost of debt=rate*(1-tax rate)

                                   =9.01% *(1-0.45)

                                    =4.96%

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