A zero-coupon bond with a face value of €1 000 matures in 7 years and costs €615 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 8 years. The yield to maturity is 8%. Find the price P of the bond.
You buy a bond with 7 years to maturity (face value €1 000, annual coupon 4%) when its yield to maturity is 6%. One year later, just after receiving the first coupon, you sell it when the yield to maturity is 7.5%. Find your holding period return HPR in percent.
You buy a bond with 10 years to maturity (face value €1 000, annual coupon 8%) when its yield to maturity is 5.5%. One year later, just after receiving the first coupon, you sell it when the yield to maturity is 6%. Find your holding period return HPR in percent.
A bond with a face value of €1 000 pays a 4.5% annual coupon in two half-yearly payments and matures in 10 years. It sells for €1 176. Find its yield to maturity YTM as an annual rate (twice the half-yearly yield), in percent.
A bond with a face value of €1 000 and an annual coupon of 4% matures in 5 years and sells for €895. Find its yield to maturity YTM in percent.
Answer key
- 1. YTM = 7.192 %
- 2. P = 712.7 €
- 3. HPR = −1.423 %
- 4. HPR = 2.322 %
- 5. YTM = 2.5 %
- 6. YTM = 6.529 %
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