a. Number of Periods =(30-3)*2 =54
Par Value =1000
Semi annual coupon =7%*1000/2 =35
Price =93%*1000 =930
YTM using financial calculator
N=54;PMT=35;PV=-930;FV=1000;CPT =3.8074%
Cost of Debt or YTM =2*3.8074% =7.6148% or 7.61%
b. After tax cost of debt =7.6148%*(1-35%) =4.95%
c. After tax cost of debt is more relevant as interest payments are
tax deductible. Hence provides benefit of interest tax
shield.
d. i. Total book value of Debt =85+35 =120
ii. Total Market Value of debt =93%*Book Value of Bond+59%*Book
Value of zero coupon bond
=93%*85+59%*35 =99.7
iii. Before tax cost of debt of zero coupon bond =(100/59)^(1/12)-1
=4.495%
After tax cost of Debt =(Weight of Bond*Cost of debt+Weight of zero
coupon bond*Cost of debt )*(1-tax rate)
=(93%*85/99.7*7.6148%+59%*35/99.7*4.495%)*(1-35%) =4.53%
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