Respuesta :
The difference between the prices of the two bonds is $67.33.
What is the bond?
A bond is a type of fixed-income mechanism that conveys a loan made by an investor to a borrower. A bond could be considered as an I.O.U. between the lender and borrower that contains the elements of the loan and its payments.
The formula of bond pricing:
[tex]\rm{Bond Price}=C\times\dfrac{1-(1+r)^n}{r}+ \dfrac{F}{(1+r)^n}[/tex]
Where,
C= Coupon Rate, r = Maturity Rate, F= par value, n= Number of year.
Computation of final value of the bond:
Bond 1:
According to the given information,
Coupon rate(C)= 4%,
Maturity rate(r) = 4%,
Par value of the bond(F)= $1,000
Apply the given values in the above formula:
[tex]\rm{Bond Price}=C\times\dfrac{1-(1+r)^n}{r}+ \dfrac{F}{(1+r)^n}\\\\\\\rm{Bond Price}=4\%\times\dfrac{1-(1+4\%)^8}{4\%}+\dfrac{\$1,000}{(1+4\%)^8}\\\\\\\rm{Bond Price}=\$1,000.[/tex]
Therefore, the bond price is $1,000.
Bond 2:
According to the given information,
Coupon rate(C)= 5%,
Maturity rate(r) = 4%,
Par value of the bond(F)= $1,000
Apply the given values in the above formula:
[tex]\rm{Bond Price}=C\times\dfrac{1-(1+r)^n}{r}+ \dfrac{F}{(1+r)^n}\\\\\\\rm{Bond Price}=5\%\times\dfrac{1-(1+4\%)^8}{4\%}+\dfrac{\$1,000}{(1+4\%)^8}\\\\\\\rm{Bond Price}=\$1,067.33.[/tex]
Therefore, the difference between the prices of these two bonds is :
[tex]\text{Difference}= \text{Bond 1-Bond2}\\\\\text{Difference}= \$1,000-\$1,067.33\\\\\text{Difference}= 67.33[/tex]
Learn more about the bond, refer to:
https://brainly.com/question/13559242
