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
years012345€80€80€80 + €1 000P = ?

A bond with a face value of €1 000 pays an annual coupon of 8% and matures in 5 years. The yield to maturity is 9%. Find the price P of the bond.

F = €1 000coupon = 8%YTM = 9%n = 5
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 2% per year. Find the price P of the bond.

F = €1 000n = 10YTM = 2%
P = €
3.Medium
half-years0123…18€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 9 years. The yield to maturity is 6% per year. Find the price P of the bond.

F = €1 000coupon = 3%YTM = 6%n = 9
P = €
4.Medium
years0123…9P€40€40€40 + €1 000

A bond with a face value of €1 000 pays an annual coupon of 4% and matures in 9 years. Its yield to maturity changes from 8% to 6%. By how much ΔP does the bond price change?

F = €1 000coupon = 4%n = 9y1 = 8%y2 = 6%
ΔP = €
5.Hard
years0123…10€830€50€50 + €1 000

A bond with a face value of €1 000 and an annual coupon of 5% matures in 10 years and sells for €830. Find its yield to maturity YTM in percent.

F = €1 000coupon = 5%n = 10P = €830
YTM = %
6.Hard
years0123P€70€70€70 + €1 000

A bond with a face value of €1 000 pays an annual coupon of 7% and matures in 3 years. The yield to maturity is 9%. Find the Macaulay duration D in years.

F = €1 000coupon = 7%n = 3YTM = 9%
D = years

Answer key

  1. 1. P = 961.1 €
  2. 2. P = 820.3 €
  3. 3. P = 793.7 €
  4. 4. ΔP = 113.8 €
  5. 5. YTM = 7.474 %
  6. 6. D = 2.803 years

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