Before-tax cost of debt and after-tax cost of debtPersonal Finance ProblemDavid
ID: 2820883 • Letter: B
Question
Before-tax cost of debt and after-tax cost of debtPersonal Finance ProblemDavid Abbot is interested in purchasing a bond issued by Sony. He has obtained the following information on the security:
Sony Bond
Par value $1000
5.5%
20%
$920
Years to maturity 10
Answer the following questions:
a.Calculate the before-tax cost of the Sony bond using the bond's yield to maturity (YTM).
b.Calculate the after-tax cost of the Sony bond given the corporate tax rate.
a.
The before-tax cost of the Sony bond using the bond's yield to maturity (YTM) is______%. (Round to two decimal places.)
b.
The after-tax cost of the Sony bond given the corporate tax rate is______%. (Round to two decimal places.)
Sony Bond
Par value $1000
Coupon interest rate5.5%
Corporate tax rate20%
Cost$920
Years to maturity 10
Explanation / Answer
a) Calculation of before tax cost of sony bond: Interest 55 Face value(assumed) $1000 Bond price $920 Years to maturity 10 Yield= Interest+ (Face value-Bond price)/years to maturity (face value + bond price)/2 55+(1000-920)/10 (1000+920)/2 6.56% Yield to maturity is 6.56% (b) After tax cost of debt= 6.56(1-0.20)=5.25%
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