A zero-coupon bond pays €1 000 in 17 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 zero-coupon bond with a face value of €1 000 matures in 6 years and costs €888 today. Find its yield to maturity YTM in percent.
A bond with a face value of €1 000 pays a 2% annual coupon in two half-yearly payments and matures in 7 years. The yield to maturity is 2.5% per year. Find the price P of the bond.
You buy a bond with 4 years to maturity (face value €1 000, annual coupon 2%) when its yield to maturity is 9%. One year later, just after receiving the first coupon, you sell it when the yield to maturity is 10%. Find your holding period return HPR in percent.
A bond trades at €910 with a yield to maturity of 5% (annual compounding) and a Macaulay duration of 6.6 years. Use the modified duration to estimate the new price P if the yield falls by 50 basis points.
A bond with a face value of €1 000 and an annual coupon of 5% matures in 10 years and sells for €1 125. Find its yield to maturity YTM in percent.
Answer key
- 1. P = 605 €
- 2. YTM = 1.999 %
- 3. P = 968.1 €
- 4. HPR = 6.186 %
- 5. P = 938.6 €
- 6. YTM = 3.497 %
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