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…17P = ?€1 000

A zero-coupon bond pays €1 000 in 17 years and nothing before. The yield to maturity is 3% per year. Find the price P of the bond.

F = €1 000n = 17YTM = 3%
P = €
2.Easy
years0123456€888€1 000

A zero-coupon bond with a face value of €1 000 matures in 6 years and costs €888 today. Find its yield to maturity YTM in percent.

F = €1 000n = 6P = €888
YTM = %
3.Medium
half-years0123…14€10€10€10 + €1 000P = ?

A bond with a face value of €1 000 pays a 2% annual coupon in two half-yearly payments and matures in 7 years. The yield to maturity is 2.5% per year. Find the price P of the bond.

F = €1 000coupon = 2%YTM = 2.5%n = 7
P = €
4.Medium

You buy a bond with 4 years to maturity (face value €1 000, annual coupon 2%) when its yield to maturity is 9%. One year later, just after receiving the first coupon, you sell it when the yield to maturity is 10%. Find your holding period return HPR in percent.

F = €1 000coupon = 2%n = 4y0 = 9%y1 = 10%
HPR = %
5.Hard

A bond trades at €910 with a yield to maturity of 5% (annual compounding) and a Macaulay duration of 6.6 years. Use the modified duration to estimate the new price P if the yield falls by 50 basis points.

P0 = €910y = 5%D = 6.6Δy = −50 bp
P = €
6.Hard
years0123…10€1 125€50€50 + €1 000

A bond with a face value of €1 000 and an annual coupon of 5% matures in 10 years and sells for €1 125. Find its yield to maturity YTM in percent.

F = €1 000coupon = 5%n = 10P = €1 125
YTM = %

Answer key

  1. 1. P = 605 €
  2. 2. YTM = 1.999 %
  3. 3. P = 968.1 €
  4. 4. HPR = 6.186 %
  5. 5. P = 938.6 €
  6. 6. YTM = 3.497 %

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