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
years01234€786€1 000

A zero-coupon bond with a face value of €1 000 matures in 4 years and costs €786 today. Find its yield to maturity YTM in percent.

F = €1 000n = 4P = €786
YTM = %
2.Easy
years0123…9€592€1 000

A zero-coupon bond with a face value of €1 000 matures in 9 years and costs €592 today. Find its yield to maturity YTM in percent.

F = €1 000n = 9P = €592
YTM = %
3.Medium
half-years0123…12€35€35€35 + €1 000P = ?

A bond with a face value of €1 000 pays a 7% annual coupon in two half-yearly payments and matures in 6 years. The yield to maturity is 3.5% per year. Find the price P of the bond.

F = €1 000coupon = 7%YTM = 3.5%n = 6
P = €
4.Medium
years01234P€70€70€70 + €1 000

A bond with a face value of €1 000 pays an annual coupon of 7% and matures in 4 years. Its yield to maturity changes from 3% to 1.5%. By how much ΔP does the bond price change?

F = €1 000coupon = 7%n = 4y1 = 3%y2 = 1.5%
ΔP = €
5.Hard
years01234€1 217€80€80€80 + €1 080

A bond with 18 years to maturity (face value €1 000, annual coupon 8%) sells for €1 217. The issuer can call it in 4 years at a call price of €1 080. Find the yield to call YTC in percent.

F = €1 000coupon = 8%P = €1 217call price = €1 080call in 4 years
YTC = %
6.Hard
years0123€945€30€30 + €1 000

A bond with a face value of €1 000 and an annual coupon of 3% matures in 3 years and sells for €945. Find its yield to maturity YTM in percent.

F = €1 000coupon = 3%n = 3P = €945
YTM = %

Answer key

  1. 1. YTM = 6.205 %
  2. 2. YTM = 5.998 %
  3. 3. P = 1188 €
  4. 4. ΔP = 63.31 €
  5. 5. YTC = 3.919 %
  6. 6. YTM = 5.02 %

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