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€70€70€70 + €1 000P = ?

A bond with a face value of €1 000 pays an annual coupon of 7% and matures in 9 years. The yield to maturity is 2.5%. Find the price P of the bond.

F = €1 000coupon = 7%YTM = 2.5%n = 9
P = €
2.Easy
years0123…10P = ?€1 000

A zero-coupon bond pays €1 000 in 10 years and nothing before. The yield to maturity is 3% per year. Find the price P of the bond.

F = €1 000n = 10YTM = 3%
P = €
3.Medium
half-years0123456€20€20€20 + €1 000P = ?

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 5% per year. Find the price P of the bond.

F = €1 000coupon = 4%YTM = 5%n = 3
P = €
4.Medium
half-years0123…8€30€30€30 + €1 000P = ?

A bond with a face value of €1 000 pays a 6% annual coupon in two half-yearly payments and matures in 4 years. The yield to maturity is 4% per year. Find the price P of the bond.

F = €1 000coupon = 6%YTM = 4%n = 4
P = €
5.Hard
years0123€960€50€50 + €1 000

A bond with a face value of €1 000 and an annual coupon of 5% matures in 3 years and sells for €960. Find its yield to maturity YTM in percent.

F = €1 000coupon = 5%n = 3P = €960
YTM = %
6.Hard

A bond trades at €1 075 with a yield to maturity of 7% (annual compounding) and a Macaulay duration of 4.5 years. Use the modified duration to estimate the new price P if the yield rises by 50 basis points.

P0 = €1 075y = 7%D = 4.5Δy = +50 bp
P = €

Answer key

  1. 1. P = 1359 €
  2. 2. P = 744.1 €
  3. 3. P = 972.5 €
  4. 4. P = 1073 €
  5. 5. YTM = 6.511 %
  6. 6. P = 1052 €

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