A $5,000 face value bond has a coupon rate of 6.5%, sells for $5,937, and matures in 7 years. What is its yield to maturity?a. 3.44%.b. 5.47%.c. 6.12%.d. 4.08%.

YTM = 0.03495343461 or 3.495343461% rounded off to 3.50%

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

Assuming that the bond  pays coupon annually,

Coupon payment = 5000 * 0.065 = $325

Number of periods remaining till maturity = 7

YTM = [ (325 + (5000 - 5937 / 7))  /  (5000 + 5937 / 2)

YTM = 0.03495343461 or 3.495343461% rounded off to 3.50%

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