Question

An investor has two bonds in his portfolio that have a face value of $1,000 and pay a 8% annual coupon. Bond L matures in 10 years, while Bond S matures in 1 year.

Assume that only one more interest payment is to be made on Bond S at its maturity and that 10 more payments are to be made on Bond L.

1. What will the value of the Bond L be if the going interest rate is 6%? Round your answer to the nearest cent.
   $  
   
   What will the value of the Bond S be if the going interest rate is 6%? Round your answer to the nearest cent.
   $  
   
   What will the value of the Bond L be if the going interest rate is 8%? Round your answer to the nearest cent.
   $  
   
   What will the value of the Bond S be if the going interest rate is 8%? Round your answer to the nearest cent.
   $  
   
   What will the value of the Bond L be if the going interest rate is 14%? Round your answer to the nearest cent.
   $  
   
   What will the value of the Bond S be if the going interest rate is 14%? Round your answer to the nearest cent.
   $  

Answer 1

Bond S

K = N

Bond Price =∑ [(Annual Coupon)/(1 + YTM)^k]     +   Par value/(1 + YTM)^N

k=1

K =1

Bond Price =∑ [(8*1000/100)/(1 + 6/100)^k]     +   1000/(1 + 6/100)^1

k=1

Bond Price = 1018.87

Bond L

K = N

Bond Price =∑ [(Annual Coupon)/(1 + YTM)^k]     +   Par value/(1 + YTM)^N

k=1

K =10

Bond Price =∑ [(8*1000/100)/(1 + 6/100)^k]     +   1000/(1 + 6/100)^10

k=1

Bond Price = 1147.2

Bond S

K = N

Bond Price =∑ [(Annual Coupon)/(1 + YTM)^k]     +   Par value/(1 + YTM)^N

k=1

K =1

Bond Price =∑ [(8*1000/100)/(1 + 8/100)^k]     +   1000/(1 + 8/100)^1

k=1

Bond Price = 1000

Bond L

K = N

Bond Price =∑ [(Annual Coupon)/(1 + YTM)^k]     +   Par value/(1 + YTM)^N

k=1

K =10

Bond Price =∑ [(8*1000/100)/(1 + 8/100)^k]     +   1000/(1 + 8/100)^10

k=1

Bond Price = 1000

Bond S

K = N

Bond Price =∑ [(Annual Coupon)/(1 + YTM)^k]     +   Par value/(1 + YTM)^N

k=1

K =1

Bond Price =∑ [(8*1000/100)/(1 + 14/100)^k]     +   1000/(1 + 14/100)^1

k=1

Bond Price = 947.37

Bond L

K = N

Bond Price =∑ [(Annual Coupon)/(1 + YTM)^k]     +   Par value/(1 + YTM)^N

k=1

K =10

Bond Price =∑ [(8*1000/100)/(1 + 14/100)^k]     +   1000/(1 + 14/100)^10

k=1

Bond Price = 687.03