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€888€1 000

A zero-coupon bond with a face value of €1 000 matures in 4 years and costs €888 today. Find its yield to maturity YTM in percent.

F = €1 000n = 4P = €888
YTM = %
2.Easy
years0123…8€45€45€45 + €1 000P = ?

A bond with a face value of €1 000 pays an annual coupon of 4.5% and matures in 8 years. The yield to maturity is 4%. Find the price P of the bond.

F = €1 000coupon = 4.5%YTM = 4%n = 8
P = €
3.Medium
years0123…13P€30€30€30 + €1 000

A bond with a face value of €1 000 pays an annual coupon of 3% and matures in 13 years. Its yield to maturity changes from 6% to 6.5%. By how much ΔP does the bond price change?

F = €1 000coupon = 3%n = 13y1 = 6%y2 = 6.5%
ΔP = €
4.Medium

You buy a bond with 8 years to maturity (face value €1 000, annual coupon 7%) when its yield to maturity is 3.5%. One year later, just after receiving the first coupon, you sell it when the yield to maturity is 4%. Find your holding period return HPR in percent.

F = €1 000coupon = 7%n = 8y0 = 3.5%y1 = 4%
HPR = %
5.Hard
years01234P€50€50€50 + €1 000

A bond with a face value of €1 000 pays an annual coupon of 5% and matures in 4 years. The yield to maturity is 6%. Find the Macaulay duration D in years.

F = €1 000coupon = 5%n = 4YTM = 6%
D = years
6.Hard
years01234567€940€40€40 + €1 000

A bond with a face value of €1 000 and an annual coupon of 4% matures in 7 years and sells for €940. Find its yield to maturity YTM in percent.

F = €1 000coupon = 4%n = 7P = €940
YTM = %

Answer key

  1. 1. YTM = 3.014 %
  2. 2. P = 1034 €
  3. 3. ΔP = −35.41 €
  4. 4. HPR = 0.7636 %
  5. 5. D = 3.718 years
  6. 6. YTM = 5.038 %

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