A bond has a $1,000 par value, 20 years to maturity, and an 8% annual coupon and sells for $1,110. What is its yield to maturity (YTM)?

YTM = 0.070616 or 7.0616% rounded off to 7.06%

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,

Coupon payment = 1000 * 0.08 = 80

YTM = [ (80 + (1000 - 1110 / 20))  /  (1000 + 1110 / 2)

YTM = 0.070616 or 7.0616% rounded off to 7.06%

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