Question
Jimstan & Jimstan Corp. can sell a new 10-year bond with an annual coupon of 5.5% and a face value of $1,000 for $1,206.33. The
Jimstan & Jimstan Corp. can sell a new 10-year bond with an annual coupon of 5.5% and a face value of $1,000 for $1,206.33. The company will incur flotation costs of $40 per bond and has a tax rate of 27%.
Part 1
What are the net proceeds from selling the bond?
Nd=PF=1,206.3340=Nd=P-F=1,206.33-40= 1,166.33 Correct
Part 2
What is the company's pre-tax cost of debt?
The cost of debt is
that discount rate that equates the net proceeds to the present value of the expected cash flows.
Nd=Crd[11(1+rd)n]+F(1+rd)nNd=Crd[1-1(1+rd)n]+F(1+rd)n
1,166.33=55rd [11(1+rd)10]+1,000(1+rd)101,166.33=55rd [1-1(1+rd)10]+1,000(1+rd)10
Unfortunately, this equation is non-linear in rdrd and cannot be solved for it. Instead, we have to use trial and error, a financial calculator or Excel.
Using a financial calculator:
N | I/Y | PV | PMT | FV | |
Inputs | 10 | -1,166.33 | 55 | 1,000 | |
Compute | 3.5 |
Note that the net proceeds (the PV) must be entered as a negative number. Calculating I/Y gives a value of 3.5%, or 0.035.
Using Excel (do not enter the thousand separators): =RATE(nper, pmt, pv, fv) =RATE(10, 55, -1,166.33, 1,000) =0.035 Correct
Part 3
What is the company's after-tax cost of debt?
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