Which of the following statements are true? I) Holding other things constant, the duration of a bond decreases with time to maturity. II) Given time to maturity, the duration of a zero-coupon increases with yield to maturity. III). Given time to maturity and yield to maturity, the duration of a bond is higher when the coupon rate is lower. IV) Duration is a better measure of price sensitivity to interest-rate changes than is time to maturity.

III). Given time to maturity and yield to maturity, the duration of a bond is higher when the coupon rate is lower.

Explanation:

Duration and convexity are two items associated with the management of the risk exposure concerned with fixed-income investments.

Duration is used to check the reaction of the bond in terms of interest rates change. Convexity, on the other hand, is concerned with the correlation between the price of a bond and its yield in connection to the change in interest rates.

A bond's duration is lower when its coupon rate is higher and vice versa because of the influence of a coupon payment being high when made early.

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