A zero-coupon bond with a face value of €1 000 matures in 8 years and costs €677 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 matures in 3 years. The yield to maturity is 3.5%. 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 2.5%. 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 a 5% annual coupon in two half-yearly payments and matures in 4 years. The yield to maturity is 8% per year. Find the price P of the bond.
A bond with 15 years to maturity (face value €1 000, annual coupon 8%) sells for €1 091. The issuer can call it in 3 years at a call price of €1 080. Find the yield to call YTC in percent.
A bond with a face value of €1 000 and an annual coupon of 4% matures in 7 years and sells for €1 130. Find its yield to maturity YTM in percent.
Answer key
- 1. YTM = 4.997 %
- 2. P = 986 €
- 3. HPR = −1.701 %
- 4. P = 899 €
- 5. YTC = 7.019 %
- 6. YTM = 1.992 %
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