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Inc

Finance Apr 01, 2021

Inc. sold a 10-year bond issue 3 years ago. The bond has a 6.45% annual coupon and a $1,000 face value. If the current market price of the bond is $980 and the tax rate is 30%, what is the after-tax cost of debt?

Select one:

a. 3.50%

b. 4.77%

c. 5.15%

d. 7.36%

e. 6.45%

Expert Solution

Computation of Cost of Debt using Rate Function in Excel:

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

Here,

Rate = Cost of Debt = ?

Nper = 10 years -3 years = 7 years 

PMT = $1,000*6.45% = $64.50

PV = $980

FV = $1,000

Substituting the values in formula:

=rate(7,64.50,-980,1000)

Rate or Cost of Debt = 6.82%

 

After-tax Cost of Debt = Cost of Debt*(1-Tax Rate)

= 6.82%*(1-30%)

After-tax Cost of Debt = 4.77%

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