A zero-coupon bond pays €1 000 in 7 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 8% and matures in 10 years. The yield to maturity is 5.5%. Find the price P of the bond.
A bond with a face value of €1 000 pays a 4% annual coupon in two half-yearly payments and matures in 3 years. The yield to maturity is 8% per year. Find the price P of the bond.
A bond with a face value of €1 000 pays an annual coupon of 6% and matures in 9 years. Its yield to maturity changes from 5.5% to 4.5%. By how much ΔP does the bond price change?
A bond with 10 years to maturity (face value €1 000, annual coupon 9%) sells for €1 140. The issuer can call it in 3 years at a call price of €1 090. Find the yield to call YTC in percent.
A bond with 11 years to maturity (face value €1 000, annual coupon 5%) sells for €1 135. The issuer can call it in 4 years at a call price of €1 050. Find the yield to call YTC in percent.
Answer key
- 1. P = 622.7 €
- 2. P = 1188 €
- 3. P = 895.2 €
- 4. ΔP = 74.27 €
- 5. YTC = 6.524 %
- 6. YTC = 2.605 %
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