Answer:
$1,196.01
Explanation:
<u>What is the current price of the bond </u>
Face value of Bond = $1000
Term (maturity time) = 10 years
periods = 10 *2 = 20 ( semiannual compound of interest )
Yield = 5.8%. semiannual yield = 5.8% / 2 = 2.9% = 0.029
Next : calculate the value of bond using the relationship below
Discounting factor = 1/(1 + r)^n
n = number of payments
note : payments are made semiannually
attached below is a Table showing the discounting factor and present value starting from the 4th year ( Biannually )i.e. when payment commenced
payments discounting factor present value
45 0.818638898 36.83875
45 0.795567442 35.800535
45 0.773146203 34.791579
45 0.751356854 33.811058
45 0.730181588 32.858171
45 0.709603098 31.932139
45 0.689604566 31.032205
45 0.670169646 30.157634
100 0.651282455 65.128245
100 0.632927556 63.292756
100 0.615089947 61.508995
100 0.597755051 59.775505
100 0.580908698 58.09087
100 0.564537122 56.453712
1000 0.564537122 564.53712
Total of present value = 1196.0093
