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苏·Xu · 2022年11月07日

NO.PZ2016031001000130

问题如下:

The holding period for a bond at which the coupon reinvestment risk offsets the market price risk is best approximated by:

选项:

A.

duration gap.

B.

modified duration.

C.

Macaulay duration.

解释:

C is correct.

When the holder of a bond experiences a one-time parallel shift in the yield curve, the Macaulay duration statistic identifies the number of years necessary to hold the bond so that the losses (or gains) from coupon reinvestment offset the gains (or losses) from market price changes. The duration gap is the difference between the Macaulay duration and the investment horizon. Modified duration approximates the percentage price change of a bond given a change in its yield-to-maturity.

考点:Interest Rate Risk & Investment Horizon

解析:当再投资风险和市场风险相抵消的时候,也就是投资期等于麦考利久期。此时,两者之差是duation gap=0。题目问的是当两个风险相互抵消的时候,能够衡量投资期的是什么,所以我们选的是麦考利久期,故选项C正确。

看了解析及其他人的提问,也明白二者相互抵消的时候duration gap =0, 还是不明白为什么麦考利久期就可以衡量呢??

1 个答案

吴昊_品职助教 · 2022年11月08日

嗨,从没放弃的小努力你好:


The holding period for a bond at which the coupon reinvestment risk offsets the market price risk is best approximated by:

题目问的是当两个风险抵消的时候,holding period即持有期,可以用什么来衡量。

当duration gap等于0时,investment horizon=macaulay duration,这就说明持有期等效于麦考利久期,也就是说:持有期可以用麦考利久期来衡量。

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