Bond pricing & yield worksheet with answers

Free printable Bond pricing & yield worksheet: 6 problems from easy to exam level, with an answer key. Print it or save it as a PDF.

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Name: ____________________   Date: ____________

1.Easy
years0123…9€40€40€40 + €1 000P = ?

A bond with a face value of €1 000 pays an annual coupon of 4% and matures in 9 years. The yield to maturity is 5%. Find the price P of the bond.

F = €1 000coupon = 4%YTM = 5%n = 9
P = €
2.Easy
years0123…14€492€1 000

A zero-coupon bond with a face value of €1 000 matures in 14 years and costs €492 today. Find its yield to maturity YTM in percent.

F = €1 000n = 14P = €492
YTM = %
3.Medium
years0123…15P€80€80€80 + €1 000

A bond with a face value of €1 000 pays an annual coupon of 8% and matures in 15 years. Its yield to maturity changes from 3% to 3.5%. By how much ΔP does the bond price change?

F = €1 000coupon = 8%n = 15y1 = 3%y2 = 3.5%
ΔP = €
4.Medium
years0123…10P€50€50€50 + €1 000

A bond with a face value of €1 000 pays an annual coupon of 5% and matures in 10 years. Its yield to maturity changes from 3.5% to 2.5%. By how much ΔP does the bond price change?

F = €1 000coupon = 5%n = 10y1 = 3.5%y2 = 2.5%
ΔP = €
5.Hard
half-years0123456€1 057€22.50€22.50€22.50 + €1 000

A bond with a face value of €1 000 pays a 4.5% annual coupon in two half-yearly payments and matures in 3 years. It sells for €1 057. Find its yield to maturity YTM as an annual rate (twice the half-yearly yield), in percent.

F = €1 000coupon = 4.5% (2×)n = 3P = €1 057
YTM = %
6.Hard
years0123…10€885€40€40 + €1 000

A bond with a face value of €1 000 and an annual coupon of 4% matures in 10 years and sells for €885. Find its yield to maturity YTM in percent.

F = €1 000coupon = 4%n = 10P = €885
YTM = %

Answer key

  1. 1. P = 928.9 €
  2. 2. YTM = 5.197 %
  3. 3. ΔP = −78.61 €
  4. 4. ΔP = 94.05 €
  5. 5. YTM = 2.515 %
  6. 6. YTM = 5.528 %

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