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immaculate · 2021年02月17日

不是很理解

NO.PZ2016031001000114

问题如下:

Which of the following statements about duration is correct? A bond’s:

选项:

A.

effective duration is a measure of yield duration.

B.

modified duration is a measure of curve duration.

C.

modified duration cannot be larger than its Macaulay duration.

解释:

C is correct.

A bond’s modified duration cannot be larger than its Macaulay duration. The formula for modified duration is:

ModDur=MacDur1+rModDur=\frac{MacDur}{1+r}

where r is the bond’s yield-to-maturity per period. A bond’s yield-to-maturity has an effective lower bound of 0, and thus the denominator 1 + r term has a lower bound of 1. Therefore, ModDur will typically be less than MacDur.

Effective duration is a measure of curve duration. Modified duration is a measure of yield duration.

能在具体解释下么?AB容易混淆
1 个答案

吴昊_品职助教 · 2021年02月18日

同学你好:

我们可以简单记忆,curve duration只有effective duration,其他(Mod and Mac)都是yield duration。如下截图。

两者的区别在于yield duration是价格对债券自身YTM的敏感性,而Curve duration是价格对benchmarke yield curve的敏感性,用于含权债券。