Question

In: Finance

a. You have the following instruments; pleas calculate the PV of the following bonds (with face...

a. You have the following instruments; pleas calculate the PV of the following bonds (with face value 1,000 €):

• 4% annual coupon bond, 2-year maturity, current market yield is 3.47%

• 4.5% annual coupon bond, 3-year maturity, current market yield is 3.6%

• 5% annual coupon bond, 5-year maturity, current market yield is 4%

b. Some years ago, you bought a 5% annual coupon bond with a face value of €1000 that had a YTM of 6% and 10 years left until maturity at that time. Suddenly you are forced to sell the bond today at the market price of €908. What is your capital gain/loss?

b. Some years ago, you bought a 5% annual coupon bond with a face value of €1000 that had a YTM of 6% and 10 years left until maturity at that time. Suddenly you are forced to sell the bond today at the market price of €908. What is your capital gain/loss?

Solutions

Expert Solution

a. Calculation of PV of various bonds :

i) bond with 2 year maturity :

ii) bond with 3 year maturity :

iii) bond with 5 year maturity :

b. Calculation of Capital gain / loss :

i) Purchase price of the bond :

  • Capital loss on sale of the bond = 926.40-908 = Euro 18.4

NOTE : In all the cases it is assumed that the bobds will be redeemed at par value.


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