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
years012345€814€1 000

A zero-coupon bond with a face value of €1 000 matures in 5 years and costs €814 today. Find its yield to maturity YTM in percent.

F = €1 000n = 5P = €814
YTM = %
2.Easy
years01234€80€80€80 + €1 000P = ?

A bond with a face value of €1 000 pays an annual coupon of 8% and matures in 4 years. The yield to maturity is 7%. Find the price P of the bond.

F = €1 000coupon = 8%YTM = 7%n = 4
P = €
3.Medium
half-years0123…14€40€40€40 + €1 000P = ?

A bond with a face value of €1 000 pays an 8% 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 = 8%YTM = 2.5%n = 7
P = €
4.Medium
half-years0123…14€20€20€20 + €1 000P = ?

A bond with a face value of €1 000 pays a 4% annual coupon in two half-yearly payments and matures in 7 years. The yield to maturity is 8% per year. Find the price P of the bond.

F = €1 000coupon = 4%YTM = 8%n = 7
P = €
5.Hard
years01234€1 275€50€50€50 + €1 050

A bond with 13 years to maturity (face value €1 000, annual coupon 5%) sells for €1 275. The issuer can call it in 4 years at a call price of €1 050. Find the yield to call YTC in percent.

F = €1 000coupon = 5%P = €1 275call price = €1 050call in 4 years
YTC = %
6.Hard

A bond trades at €965 with a yield to maturity of 6% (annual compounding) and a Macaulay duration of 10.7 years. Use the modified duration to estimate the new price P if the yield rises by 25 basis points.

P0 = €965y = 6%D = 10.7Δy = +25 bp
P = €

Answer key

  1. 1. YTM = 4.202 %
  2. 2. P = 1034 €
  3. 3. P = 1351 €
  4. 4. P = 788.7 €
  5. 5. YTC = 50 %
  6. 6. P = 940.6 €

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