A zero-coupon bond with a face value of €1 000 matures in 6 years and costs €828 today. Find its yield to maturity YTM in percent.
Bond pricing & yield worksheet with answers
A bond with a face value of €1 000 pays an annual coupon of 3% and trades at €1 090. Find its current yield CY in percent.
A bond with a face value of €1 000 matures in 8 years and pays annual coupons. It sells for €668 when the yield to maturity is 9%. Find the coupon rate c in percent.
A bond with a face value of €1 000 pays a 4% annual coupon in two half-yearly payments and matures in 8 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 and an annual coupon of 7% matures in 4 years and sells for €950. Find its yield to maturity YTM in percent.
A bond trades at €910 with a yield to maturity of 5% (annual compounding) and a Macaulay duration of 6 years. Use the modified duration to estimate the new price P if the yield falls by 150 basis points.
Answer key
- 1. YTM = 3.196 %
- 2. CY = 2.752 %
- 3. c = 3.002 %
- 4. P = 874.4 €
- 5. YTM = 8.527 %
- 6. P = 988 €
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