A zero-coupon bond with a face value of €1 000 matures in 4 years and costs €888 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 4.5% and matures in 8 years. The yield to maturity is 4%. Find the price P of the bond.
A bond with a face value of €1 000 pays an annual coupon of 3% and matures in 13 years. Its yield to maturity changes from 6% to 6.5%. By how much ΔP does the bond price change?
You buy a bond with 8 years to maturity (face value €1 000, annual coupon 7%) when its yield to maturity is 3.5%. One year later, just after receiving the first coupon, you sell it when the yield to maturity is 4%. Find your holding period return HPR in percent.
A bond with a face value of €1 000 pays an annual coupon of 5% and matures in 4 years. The yield to maturity is 6%. Find the Macaulay duration D in years.
A bond with a face value of €1 000 and an annual coupon of 4% matures in 7 years and sells for €940. Find its yield to maturity YTM in percent.
Answer key
- 1. YTM = 3.014 %
- 2. P = 1034 €
- 3. ΔP = −35.41 €
- 4. HPR = 0.7636 %
- 5. D = 3.718 years
- 6. YTM = 5.038 %
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