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Which of the following statements is incorrect? Pls explain your answer. a. The duration of a...

Which of the following statements is incorrect? Pls explain your answer.

a. The duration of a coupon bond maturing at date T is always less than the duration of a zero coupon bond maturing on the same date.

b. The modified duration of a bond is always less than the Macaulay duration of the same bond if interest rates is positive.

c. To measure the price sensitivity of a callable bond to the change of interest rates, one needs to calculate the bonds modified duration.

d. Embedded option of a bond reduces its effective duration.

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Answer #1

c. To measure the price sensitivity of a callable bond to the change of interest rates, one needs to calculate the bonds modified duration.

Callable bonds are path dependent hence we should use effective duration and not modified duration

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