A zero-coupon bond with a face value of €1 000 matures in 12 years and costs €685 today. Find its yield to maturity YTM in percent.
Bond pricing & yield worksheet with answers
A zero-coupon bond pays €1 000 in 7 years and nothing before. The yield to maturity is 2% per year. Find the price P of the bond.
You buy a bond with 10 years to maturity (face value €1 000, annual coupon 3%) when its yield to maturity is 8%. One year later, just after receiving the first coupon, you sell it when the yield to maturity is 8.5%. Find your holding period return HPR in percent.
A bond with a face value of €1 000 pays a 5% annual coupon in two half-yearly payments and matures in 7 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 and an annual coupon of 7% matures in 5 years and sells for €905. Find its yield to maturity YTM in percent.
A bond with 15 years to maturity (face value €1 000, annual coupon 6%) sells for €1 161. The issuer can call it in 4 years at a call price of €1 060. Find the yield to call YTC in percent.
Answer key
- 1. YTM = 3.203 %
- 2. P = 870.6 €
- 3. HPR = 4.358 %
- 4. P = 1125 €
- 5. YTM = 9.472 %
- 6. YTC = 3.091 %
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