A bond with a face value of €1 000 pays an annual coupon of 4% and matures in 9 years. The yield to maturity is 5%. Find the price P of the bond.
Bond pricing & yield worksheet with answers
A zero-coupon bond with a face value of €1 000 matures in 14 years and costs €492 today. Find its yield to maturity YTM in percent.
A bond with a face value of €1 000 pays an annual coupon of 8% and matures in 15 years. Its yield to maturity changes from 3% to 3.5%. By how much ΔP does the bond price change?
A bond with a face value of €1 000 pays an annual coupon of 5% and matures in 10 years. Its yield to maturity changes from 3.5% to 2.5%. By how much ΔP does the bond price change?
A bond with a face value of €1 000 pays a 4.5% annual coupon in two half-yearly payments and matures in 3 years. It sells for €1 057. Find its yield to maturity YTM as an annual rate (twice the half-yearly yield), in percent.
A bond with a face value of €1 000 and an annual coupon of 4% matures in 10 years and sells for €885. Find its yield to maturity YTM in percent.
Answer key
- 1. P = 928.9 €
- 2. YTM = 5.197 %
- 3. ΔP = −78.61 €
- 4. ΔP = 94.05 €
- 5. YTM = 2.515 %
- 6. YTM = 5.528 %
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