Question

The bonds issued by Stainless Tubs bear a 6 percent coupon, payable semiannually. The bonds mature in 11 years and have a $1,000 face value. Currently, the bonds sell for $989. What is the yield to maturity

Answer 1

Answer:

The annual YTM will be = 6.133735546% rounded off to 6.13%

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 coupon payment

F is the Face value of the bond

P is the current value of the bond

n is the number of years to maturity

 

Coupon payment = 1000 * 0.06 * 6/12 = 30

Number of periods remaining till maturity = 11 * 2 = 22

semi annual YTM = [ (30 + (1000 - 989 / 22))  /  (1000 + 989 / 2)

semi annual YTM = 0.03066867773 or 3.066867773% rounded off to 3.07%

The annual YTM will be = 3.066867773% * 2 = 6.133735546% rounded off to 6.13%