Question

Sheridan Corp is looking to invest in a three-year bond that makes semi-annual coupon payments at a rate of 5.825 percent. If these bonds have a market price of $985.63, what yield to maturity can she expect to earn?

Answer 1

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%