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月之流离 · 2020年03月18日

问一道题:NO.PZ2018062010000004 [ CFA I ]

问题如下:

Assuming there is a bond which annual modified duration is 8.05, the annual convexity is 58.32. What is the expected percentage price change if the bond’s yield-to-maturity increases by 20 basis points?

选项:

A.

-1.54%

B.

-1.57%

C.

-1.60%

解释:

C is correct.

The bond’s convexity statistic is used to improve the estimate of the percentage price change provided by modified duration alone. According to the following formula, we can get the answer:

%PVFull(AnnModDur×Yield)+[12×AnnConvexity×(Yield)2]\%\triangle\mathrm{PV}^{\mathrm{Full}}\approx(-\mathrm{AnnModDur}\times\triangle\mathrm{Yield})+\lbrack\frac12\times\mathrm{AnnConvexity}\times(\triangle\mathrm{Yield})^2\rbrack

%PVFull(8.05×0.0020)+[12×58.32×(0.0020)2]=1.60%\%\triangle\mathrm{PV}^{\mathrm{Full}}\approx(-8.05\times0.0020)+\lbrack\frac12\times58.32\times(0.0020)^2\rbrack=-1.60\%

这题不懂,可以解答一下吗?

1 个答案
已采纳答案

吴昊_品职助教 · 2020年03月19日

考查的是同时考虑duration和convexity,利率变化给债券价格带来的变化。

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