In: Finance
There are two bonds A and B. Both have the same maturity of 10 years. A has 3% coupon rate while B offers 10% coupon rate. The current yield to maturity for both bonds is 10%.
Bond A Bond B
Before increase in yield to maturity:
Bond A
Information provided:
Par value= future value= $1,000
Time= 10 years
Coupon rate= 3%
Coupon payment= 0.03*1,000= $30
Yield to maturity= 10%
The price of the bond is calculated by computing the present value.
Enter the below in a financial calculator to compute the present value:
FV= 1,000
N= 10
PMT= 30
I/Y= 10
Press the CPT key and PMT to compute the present value.
The value obtained is 569.88.
Therefore, the price of the bond is $569.88.
Bond B
Information provided:
Par value= future value= $1,000
Time= 10 years
Coupon rate= 10%
Coupon payment= 0.10*1,000= $100
Yield to maturity= 10%
The price of the bond is calculated by computing the present value.
Enter the below in a financial calculator to compute the present value:
FV= 1,000
N= 10
PMT= 100
I/Y= 10
Press the CPT key and PMT to compute the present value.
The value obtained is 1,000.
Therefore, the price of the bond is $1,000.
After increase in yield to maturity:
Bond A
Information provided:
Par value= future value= $1,000
Time= 10 years
Coupon rate= 3%
Coupon payment= 0.03*1,000= $30
Yield to maturity= 15%
The price of the bond is calculated by computing the present value.
Enter the below in a financial calculator to compute the present value:
FV= 1,000
N= 10
PMT= 30
I/Y= 15
Press the CPT key and PMT to compute the present value.
The value obtained is 397.75.
Therefore, the price of the bond is $397.75.
Bond B
Information provided:
Par value= future value= $1,000
Time= 10 years
Coupon rate= 10%
Coupon payment= 0.10*1,000= $100
Yield to maturity= 15%
The price of the bond is calculated by computing the present value.
Enter the below in a financial calculator to compute the present value:
FV= 1,000
N= 10
PMT= 100
I/Y= 15
Press the CPT key and PMT to compute the present value.
The value obtained is 749.06.
Therefore, the price of the bond is $749.06.
In case of any query, kindly comment on the solution.