In: Finance
XYZ Corp.’s outstanding bonds have a $5,000 par value and they mature in 5 years. Their yield-to-maturity is 8%, annual coupon rate is 6%, and semi-annual compounding.
please write the answer and how you worked it out on here instead of paper
a.Information provided:
Par value= future value= $5,000
Time= 5 years*2= 10 semi-annual periods
Coupon rate= 6%/2= 3%
Coupon payment= 0.03*5,000= $150 per semi-annual period
Yield to maturity= 8%/2= 4% per semi-annual period
The price of the bond is calculated by computing the present value of the bond.
Enter the below in a financial calculator to compute the present value:
FV= 5,000
PMT= 150
N= 10
I/Y= 4
Press the CPT key and PV to calculate the present value of the bond.
The value obtained is 4,594.46.
Therefore, the price of the bond is $4,594.46.
b.Current yield is calculated using the below formula:
Current Yield= Annual interest/Current price
= $150 / $4,594.46
= 0.0326*100
= 3.26%.
c..Information provided:
Par value= future value= $5,000
Time= 5 years*2= 10 semi-annual periods
Coupon rate= 6%/2= 3%
Coupon payment= 0.03*5,000= $150 per semi-annual period
Yield to maturity= 4%/2= 2% per semi-annual period
The price of the bond is calculated by computing the present value of the bond.
Enter the below in a financial calculator to compute the present value:
FV= 5,000
PMT= 150
N= 10
I/Y= 2
Press the CPT key and PV to calculate the present value of the bond.
The value obtained is 5,449.13.
Therefore, the price of the bond is $5,449.13.
d.Current yield is calculated using the below formula:
Current Yield= Annual interest/Current price
= $150 / $5,449.13
= 0.0275*100
= 2.75%.