A bond with a face value of €1 000 pays an annual coupon of 8% and matures in 3 years. The yield to maturity is 3.5%. Find the price P of the bond.
Bond pricing & yield worksheet with answers
A bond with a face value of €1 000 pays an annual coupon of 8% and trades at €1 105. Find its current yield CY in percent.
You buy a bond with 7 years to maturity (face value €1 000, annual coupon 3%) 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.
A bond with a face value of €1 000 matures in 6 years and pays annual coupons. It sells for €973 when the yield to maturity is 3.5%. Find the coupon rate c in percent.
A bond with a face value of €1 000 pays an 8% annual coupon in two half-yearly payments and matures in 10 years. It sells for €935. Find its yield to maturity YTM as an annual rate (twice the half-yearly yield), in percent.
A bond with a face value of €1 000 pays an annual coupon of 2% and matures in 3 years. The yield to maturity is 3.5%. Find the Macaulay duration D in years.
Answer key
- 1. P = 1126 €
- 2. CY = 7.24 %
- 3. HPR = 3.884 %
- 4. c = 2.993 %
- 5. YTM = 8.999 %
- 6. D = 2.94 years
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