A zero-coupon bond pays €1 000 in 9 years and nothing before. The yield to maturity is 4% 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 4% and matures in 3 years. The yield to maturity is 5%. Find the price P of the bond.
A bond with a face value of €1 000 matures in 13 years and pays annual coupons. It sells for €812 when the yield to maturity is 5%. Find the coupon rate c in percent.
A bond with a face value of €1 000 pays an annual coupon of 7% and matures in 13 years. Its yield to maturity changes from 4% to 3.5%. By how much ΔP does the bond price change?
A bond with a face value of €1 000 and an annual coupon of 4% matures in 10 years and sells for €1 130. Find its yield to maturity YTM in percent.
A bond with 15 years to maturity (face value €1 000, annual coupon 5%) sells for €1 239. The issuer can call it in 6 years at a call price of €1 050. Find the yield to call YTC in percent.
Answer key
- 1. P = 702.6 €
- 2. P = 972.8 €
- 3. c = 2.999 %
- 4. ΔP = 61.03 €
- 5. YTM = 2.514 %
- 6. YTC = 1.592 %
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