A zero-coupon bond with a face value of €1 000 matures in 7 years and costs €853 today. Find its yield to maturity YTM in percent.
Bond pricing & yield worksheet with answers
A zero-coupon bond pays €1 000 in 11 years and nothing before. The yield to maturity is 3.5% per year. Find the price P of the bond.
A bond with a face value of €1 000 matures in 9 years and pays annual coupons. It sells for €1 142 when the yield to maturity is 5%. Find the coupon rate c in percent.
A bond with a face value of €1 000 pays an annual coupon of 4% and matures in 9 years. Its yield to maturity changes from 3.5% to 2%. By how much ΔP does the bond price change?
A bond with a face value of €1 000 and an annual coupon of 6% matures in 7 years and sells for €895. Find its yield to maturity YTM in percent.
A bond with a face value of €1 000 pays a 6% annual coupon in two half-yearly payments and matures in 6 years. It sells for €1 106. Find its yield to maturity YTM as an annual rate (twice the half-yearly yield), in percent.
Answer key
- 1. YTM = 2.297 %
- 2. P = 684.9 €
- 3. c = 6.998 %
- 4. ΔP = 125.2 €
- 5. YTM = 8.018 %
- 6. YTM = 3.996 %
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