A zero-coupon bond with a face value of €1 000 matures in 6 years and costs €814 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 7% and matures in 3 years. The yield to maturity is 6%. Find the price P of the bond.
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. The yield to maturity is 8% per year. Find the price P of the bond.
You buy a bond with 11 years to maturity (face value €1 000, annual coupon 7%) when its yield to maturity is 3%. One year later, just after receiving the first coupon, you sell it when the yield to maturity is 2.5%. Find your holding period return HPR in percent.
A bond with a face value of €1 000 pays an annual coupon of 4% and matures in 3 years. The yield to maturity is 7%. Find the Macaulay duration D in years.
A bond with a face value of €1 000 pays an annual coupon of 7% and matures in 4 years. The yield to maturity is 5.5%. Find the Macaulay duration D in years.
Answer key
- 1. YTM = 3.489 %
- 2. P = 1027 €
- 3. P = 908.3 €
- 4. HPR = 6.842 %
- 5. D = 2.881 years
- 6. D = 3.635 years
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