A zero-coupon bond pays €1 000 in 7 years and nothing before. The yield to maturity is 3% per year. Find the price P of the bond.
Bond pricing & yield worksheet with answers
A bond with a face value of €1 000 pays an annual coupon of 4% and matures in 5 years. The yield to maturity is 5%. Find the price P of the bond.
A bond with a face value of €1 000 pays a 7% annual coupon in two half-yearly payments and matures in 11 years. The yield to maturity is 6% per year. Find the price P of the bond.
A bond with a face value of €1 000 pays a 4% annual coupon in two half-yearly payments and matures in 5 years. The yield to maturity is 9% per year. Find the price P of the bond.
A bond trades at €1 030 with a yield to maturity of 3% (annual compounding) and a Macaulay duration of 4.9 years. Use the modified duration to estimate the new price P if the yield falls by 150 basis points.
A bond with a face value of €1 000 pays an annual coupon of 2% and matures in 6 years. The yield to maturity is 2.5%. Find the Macaulay duration D in years.
Answer key
- 1. P = 813.1 €
- 2. P = 956.7 €
- 3. P = 1080 €
- 4. P = 802.2 €
- 5. P = 1104 €
- 6. D = 5.709 years
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