A zero-coupon bond pays €1 000 in 19 years and nothing before. The yield to maturity is 7% per year. Find the price P of the bond.
Bond pricing & yield worksheet with answers
A bond with a face value of €1 000 pays an annual coupon of 7% and matures in 7 years. The yield to maturity is 8%. Find the price P of the bond.
You buy a bond with 8 years to maturity (face value €1 000, annual coupon 4%) when its yield to maturity is 7%. 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 5% annual coupon in two half-yearly payments and matures in 10 years. The yield to maturity is 9% per year. Find the price P of the bond.
A bond with a face value of €1 000 and an annual coupon of 4% matures in 10 years and sells for €1 085. Find its yield to maturity YTM in percent.
A bond with 13 years to maturity (face value €1 000, annual coupon 7%) sells for €1 089. The issuer can call it in 3 years at a call price of €1 070. Find the yield to call YTC in percent.
Answer key
- 1. P = 276.5 €
- 2. P = 947.9 €
- 3. HPR = 13.09 %
- 4. P = 739.8 €
- 5. YTM = 3.003 %
- 6. YTC = 5.879 %
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