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
years0123456€814€1 000

A zero-coupon bond with a face value of €1 000 matures in 6 years and costs €814 today. Find its yield to maturity YTM in percent.

F = €1 000n = 6P = €814
YTM = %
2.Easy
years0123€70€70€70 + €1 000P = ?

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 6%. Find the price P of the bond.

F = €1 000coupon = 7%YTM = 6%n = 3
P = €
3.Medium
half-years0123456€22.50€22.50€22.50 + €1 000P = ?

A bond with a face value of €1 000 pays a 4.5% annual coupon in two half-yearly payments and matures in 3 years. The yield to maturity is 8% per year. Find the price P of the bond.

F = €1 000coupon = 4.5%YTM = 8%n = 3
P = €
4.Medium

You buy a bond with 11 years to maturity (face value €1 000, annual coupon 7%) when its yield to maturity is 3%. One year later, just after receiving the first coupon, you sell it when the yield to maturity is 2.5%. Find your holding period return HPR in percent.

F = €1 000coupon = 7%n = 11y0 = 3%y1 = 2.5%
HPR = %
5.Hard
years0123P€40€40€40 + €1 000

A bond with a face value of €1 000 pays an annual coupon of 4% and matures in 3 years. The yield to maturity is 7%. Find the Macaulay duration D in years.

F = €1 000coupon = 4%n = 3YTM = 7%
D = years
6.Hard
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. The yield to maturity is 5.5%. Find the Macaulay duration D in years.

F = €1 000coupon = 7%n = 4YTM = 5.5%
D = years

Answer key

  1. 1. YTM = 3.489 %
  2. 2. P = 1027 €
  3. 3. P = 908.3 €
  4. 4. HPR = 6.842 %
  5. 5. D = 2.881 years
  6. 6. D = 3.635 years

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