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
years01234567€853€1 000

A zero-coupon bond with a face value of €1 000 matures in 7 years and costs €853 today. Find its yield to maturity YTM in percent.

F = €1 000n = 7P = €853
YTM = %
2.Easy
years0123…11P = ?€1 000

A zero-coupon bond pays €1 000 in 11 years and nothing before. The yield to maturity is 3.5% per year. Find the price P of the bond.

F = €1 000n = 11YTM = 3.5%
P = €
3.Medium
years0123…9€1 142C = ?C = ?C = ? + €1 000

A bond with a face value of €1 000 matures in 9 years and pays annual coupons. It sells for €1 142 when the yield to maturity is 5%. Find the coupon rate c in percent.

F = €1 000n = 9P = €1 142YTM = 5%
c = %
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 3.5% to 2%. By how much ΔP does the bond price change?

F = €1 000coupon = 4%n = 9y1 = 3.5%y2 = 2%
ΔP = €
5.Hard
years01234567€895€60€60 + €1 000

A bond with a face value of €1 000 and an annual coupon of 6% matures in 7 years and sells for €895. Find its yield to maturity YTM in percent.

F = €1 000coupon = 6%n = 7P = €895
YTM = %
6.Hard
half-years0123…12€1 106€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 6 years. It sells for €1 106. Find its yield to maturity YTM as an annual rate (twice the half-yearly yield), in percent.

F = €1 000coupon = 6% (2×)n = 6P = €1 106
YTM = %

Answer key

  1. 1. YTM = 2.297 %
  2. 2. P = 684.9 €
  3. 3. c = 6.998 %
  4. 4. ΔP = 125.2 €
  5. 5. YTM = 8.018 %
  6. 6. YTM = 3.996 %

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