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PaisleyPPx · 2020年02月11日

问一道题:NO.PZ2018062006000119

问题如下:

When it comes to the Macaulay duration of a bond, which of the following is not true?

选项:

A.

It is inversely related with the bond's yield-to-maturity.

B.

It is usually inversely related with the bond's time-to-maturity.

C.

For a zero-coupon bond, its macaulay duration equals to its maturity.

解释:

B is correct.

A bond's Macaulay duration is usually positively related with its time-to-maturity. The longer the time-to-maturity, the higher the Macaulay duration. Zero-coupon bond only has one payment at the time of maturity, thus its Macaulay duration is equal to its time-to-maturity.

老师 A选项怎么解释

1 个答案

吴昊_品职助教 · 2020年02月12日

债券价格和利率之间是反向关系,duration是价格利率这条曲线斜率的绝对值,当YTM越大的时候,斜率的绝对值越小。因此久期和YTM之间呈现反向关系。

Yiyun · 2023年08月16日

老师,我觉得(modified)duration不是曲线的斜率的绝对值,因为价格P和利率y的斜率是△p/△y,而久期公式是(△p/p)/△y