A bond with a face value of €1 000 pays an annual coupon of 4.5% and trades at €1 070. Find its current yield CY in percent.
Bond pricing & yield worksheet with answers
A bond with a face value of €1 000 pays an annual coupon of 4.5% and matures in 8 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 4% annual coupon in two half-yearly payments and matures in 11 years. The yield to maturity is 3% per year. Find the price P of the bond.
A bond with a face value of €1 000 pays an annual coupon of 6% and matures in 5 years. Its yield to maturity changes from 3% to 5%. By how much ΔP does the bond price change?
A bond trades at €1 060 with a yield to maturity of 6% (annual compounding) and a Macaulay duration of 3.2 years. Use the modified duration to estimate the new price P if the yield rises by 100 basis points.
A bond with a face value of €1 000 and an annual coupon of 3% matures in 8 years and sells for €900. Find its yield to maturity YTM in percent.
Answer key
- 1. CY = 4.206 %
- 2. P = 967.7 €
- 3. P = 1093 €
- 4. ΔP = −94.1 €
- 5. P = 1028 €
- 6. YTM = 4.517 %
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