Question

A coupon bond with a par value of $1,000 and a 10-year maturity pays semiannual coupons...

A coupon bond with a par value of $1,000 and a 10-year maturity pays semiannual coupons of $21.

(a) Suppose the yield for this bond is 4% per year compounded semiannually. What is the price of the bond?

(b) Is the bond selling above or below par value? Why?

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Answer #1

(a) Rate semi annual = 4%/2 = 2%

Price of bond = semi annual payment * PVAF(2%, 20 periods) + Face value * PVF(2%, 20 periods)

Price = $21 * 16.35143 + $1000 * 0.672971 = $1016.35

(b) It is selling above par because the current yield (2%) is below the coupon rate (2.1%). The current yield is based on the price while the coupon rate is based on par.

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