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.
Bond pricing & yield worksheet with answers
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.
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.
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.
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.
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.
Answer key
- 1. YTM = 4.202 %
- 2. P = 1034 €
- 3. P = 1351 €
- 4. P = 788.7 €
- 5. YTC = 50 %
- 6. P = 940.6 €
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