Answer:
$38.14
Step-by-step explanation:
The yield to maturity on the bond can be computed using the rate formula in excel as shown below:
=rate(nper,pmt,-pv,fv)
nper is the bond life measured in years which is 10
pmt is the annual coupon payment since the bond zero coupon ,pmt is $0
pv is current price of the bond which is $415.50
fv is the face value of the bond i.e $1000
=rate(10,0,-415.50,1000)=9.18%
implicit interest in dollars for first year=cash proceeds*yield to maturity
cash proceeds which is the same as price of bond is $415.50
implicit interest in dollars=$415.50*9.8%=$38.14