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…13€415€1 000

A zero-coupon bond with a face value of €1 000 matures in 13 years and costs €415 today. Find its yield to maturity YTM in percent.

F = €1 000n = 13P = €415
YTM = %
2.Easy
years0123…15€373€1 000

A zero-coupon bond with a face value of €1 000 matures in 15 years and costs €373 today. Find its yield to maturity YTM in percent.

F = €1 000n = 15P = €373
YTM = %
3.Medium
half-years0123…16€15€15€15 + €1 000P = ?

A bond with a face value of €1 000 pays a 3% annual coupon in two half-yearly payments and matures in 8 years. The yield to maturity is 5% per year. Find the price P of the bond.

F = €1 000coupon = 3%YTM = 5%n = 8
P = €
4.Medium
years0123…12P€60€60€60 + €1 000

A bond with a face value of €1 000 pays an annual coupon of 6% and matures in 12 years. Its yield to maturity changes from 4% to 3.5%. By how much ΔP does the bond price change?

F = €1 000coupon = 6%n = 12y1 = 4%y2 = 3.5%
ΔP = €
5.Hard
half-years0123456€1 101€30€30€30 + €1 000

A bond with a face value of €1 000 pays a 6% annual coupon in two half-yearly payments and matures in 3 years. It sells for €1 101. Find its yield to maturity YTM as an annual rate (twice the half-yearly yield), in percent.

F = €1 000coupon = 6% (2×)n = 3P = €1 101
YTM = %
6.Hard
years0123456€905€50€50 + €1 000

A bond with a face value of €1 000 and an annual coupon of 5% matures in 6 years and sells for €905. Find its yield to maturity YTM in percent.

F = €1 000coupon = 5%n = 6P = €905
YTM = %

Answer key

  1. 1. YTM = 6.999 %
  2. 2. YTM = 6.795 %
  3. 3. P = 869.4 €
  4. 4. ΔP = 53.88 €
  5. 5. YTM = 2.485 %
  6. 6. YTM = 6.993 %

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