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…11€762€1 000

A zero-coupon bond with a face value of €1 000 matures in 11 years and costs €762 today. Find its yield to maturity YTM in percent.

F = €1 000n = 11P = €762
YTM = %
2.Easy
years0123…9€20€20€20 + €1 000P = ?

A bond with a face value of €1 000 pays an annual coupon of 2% and matures in 9 years. The yield to maturity is 3%. Find the price P of the bond.

F = €1 000coupon = 2%YTM = 3%n = 9
P = €
3.Medium
half-years0123…24€40€40€40 + €1 000P = ?

A bond with a face value of €1 000 pays an 8% annual coupon in two half-yearly payments and matures in 12 years. The yield to maturity is 7% per year. Find the price P of the bond.

F = €1 000coupon = 8%YTM = 7%n = 12
P = €
4.Medium

You buy a bond with 6 years to maturity (face value €1 000, annual coupon 5%) when its yield to maturity is 7%. One year later, just after receiving the first coupon, you sell it when the yield to maturity is 8.5%. Find your holding period return HPR in percent.

F = €1 000coupon = 5%n = 6y0 = 7%y1 = 8.5%
HPR = %
5.Hard
years01234P€30€30€30 + €1 000

A bond with a face value of €1 000 pays an annual coupon of 3% and matures in 4 years. The yield to maturity is 4%. Find the Macaulay duration D in years.

F = €1 000coupon = 3%n = 4YTM = 4%
D = years
6.Hard
years012345€1 070€30€30 + €1 000

A bond with a face value of €1 000 and an annual coupon of 3% matures in 5 years and sells for €1 070. Find its yield to maturity YTM in percent.

F = €1 000coupon = 3%n = 5P = €1 070
YTM = %

Answer key

  1. 1. YTM = 2.502 %
  2. 2. P = 922.1 €
  3. 3. P = 1080 €
  4. 4. HPR = 0.8189 %
  5. 5. D = 3.825 years
  6. 6. YTM = 1.535 %

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