Answer:
Before tax cost of debt is 7.12%
After tax cost of debt is 4.27%
Cost of equity is 10%
Explanation:
The before-tax cost of debt can be determined using excel rate formula as found below:
=rate(nper,pmt,-pv,fv)
nper is the number of semiannual payments the bond has i.e 20*2=40
pmt is the amount of semiannual payment=$1000*7.5%*6/12=$ 37.50
pv is the current price =$1000*104%=$1,040.00
fv is the face value of $1000
=rate(40,37.50,-1040,1000)=3.56%
The 3.56% is semiannual yield, hence 7.12% per year (3.56%*2)
After-tax cost of debt=7.12%*(1-t) where is the tax rate of 40% or 0.4
after-tax cost of debt=7.12%*(1-0.40)=4.27%
Cost of equity is determined using the below CAPM formula:
Ke=Rf+Beta*(Mr-Rf)
Rf is the risk free rate of 4%
Beta is 1.2
Mr is the market return of 9%
Ke=4%+1.2(9%-4%)=10.00%
