Answer:
The annual YTM will be = 0.063496 or 6.3496% rounded off to 6.35%
Explanation:
The yield to maturity or YTM is the yield or return that an investor can earn on the bond if the bond is purchased today and is held till the bond matures. The formula to calculate the Yield to maturity of a bond is as follows,
YTM = [ ( C + (F - P / n)) / (F + P / 2) ]
Where,
- C is the semi annual coupon payment in case of semi annual bond
- F is the Face value of the bond
- P is the current value of the bond
- n is the number of semi annual periods to maturity in case of the semi annual coupon bond
Assuming that the face value of the bond is $1000.
Coupon payment - semi annual= 1000 * 0.05825 * 6/12 = 29.125
Number of semi annual periods = 3 * 2 = 6
YTM - semi annual= [ (29.125 + (1000 - 985.63 / 6)) / (1000 + 985.63 / 2)
YTM - semi annual= 0.031748 or 3.1748% rounded off to 3.17%
The annual YTM will be = 0.031748 * 2 = 0.063496 or 6.3496% rounded off to 6.35%
