Which of the following statements is false? A. Bonds with higher coupon rates, all else being equal, have lower durations. B. Bonds with shorter maturities, all else being equal, have higher durations. C. The higher the convexity of a bond (in absolute terms) the more inaccurate its duration is as a measure of interest rate sensitivity. D. A zero coupon bond with a longer maturity is more sensitive to changes in the interest rate than a shorter maturity zero coupon bond.
Question
Which of the following statements is false? A. Bonds with higher coupon rates, all else being equal, have lower durations. B. Bonds with shorter maturities, all else being equal, have higher durations. C. The higher the convexity of a bond (in absolute terms) the more inaccurate its duration is as a measure of interest rate sensitivity. D. A zero coupon bond with a longer maturity is more sensitive to changes in the interest rate than a shorter maturity zero coupon bond.
Solution
The false statement is B. "Bonds with shorter maturities, all else being equal, have higher durations." This is incorrect because, all else being equal, bonds with shorter maturities have lower durations. Duration is a measure of a bond's sensitivity to interest rate changes, and shorter-maturity bonds are less sensitive to interest rate changes than longer-maturity bonds.
Similar Questions
All else being equal, which of the following is true about duration:A bond's duration is higher when the yield is higher.A bond's duration is lower when the yield is higher.Duration is not affected by the size of coupons. Duration is not affected by maturity.
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