If the going Market Interest is 1.2% , then price of a Bond that has coupon rate of 6.00 % and remaining maturity of 12 years must be:
The price of a bond is the sum total of the PVs of the expected cash | |
flows from the bond, if it is held till maturity, the discount | |
rate being the market interest rate of 1.2% p.a. | |
As nothing is said about the coupon payment, it is assumed to be | |
annual. | |
The expected cash flows from the bond are: | |
*the maturity value of $1,000, receivable at EOY 12, and | |
*the annual interest payments of $60 for 12 years, | |
which constitutes an annuity. | |
Price of the bond = 1000/1.012^12+60*(1.012^12-1)/(0.012*1.012^12) = | $ 1,533.48 |
If it is half yearly coupon payment, the | |
Price of the bond = 1000/1.006^24+30*(1.006^24-1)/(0.006*1.006^24) = | $ 1,534.96 |
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