问一道题：NO.PZ2016031001000128

问题如下：

A bond has an annual modified duration of 7.140 and annual convexity of 66.200. The bond’s yield-to-maturity is expected to increase by 50 basis points. The expected percentage price change is closest to:

选项：

–3.40%.

–3.49%.

–3.57%.

解释：

B is correct.

The expected percentage price change is closest to −3.49%. The convexity adjusted percentage price change for a bond given a change in the yield-to-maturity is estimated by:

%ΔPVFull≈[−AnnModDur×ΔYield]+0.5×AnnConverxity×(ΔYield)^2

%ΔPVFull≈[−7.14×0.005]+0.5×66.2×(0.005)^2

= -0.034873 or -3.49%

你好，請問問這條題目是不是計算數字錯了？MD應該是7.140，所以算出來的答案應該是0.036528呀

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吴昊_品职助教 · 2020年08月20日

YTM上升50bp，△y是正数。YTM下降的话，△y是负数。

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吴昊_品职助教 · 2020年08月18日

同学你好：

这道题答案没有问题哦，%ΔPVFull≈ -D×△y+0.5×C×(△y)^2=[−7.14×0.005]+0.5×66.2×(0.005)^2= -0.0357+0.0008275= -0.0348725

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NO.PZ2016031001000128 问题如下 A bonhannumofieration of 7.140 anannuconvexity of 66.200. The bons yielto-maturity is expecteto increase 50 basis points. The expectepercentage prichange is closest to: A.–3.40%. B.–3.49%. C.–3.57%. B is correct.The expectepercentage prichange is closest to −3.49%. The convexity austepercentage prichange for a bongiven a change in the yielto-maturity is estimateby:%ΔPVFull≈[−AnnMour×ΔYiel+0.5×AnnConverxity×(ΔYiel^2%ΔPVFull≈[−7.14×0.005]+0.5×66.2×(0.005)^2= -0.034873 or -3.49%考点ration convexity解析这道题考察的是综合考虑ration和convexity对债券价格的影响。题干中利率上升50bps，即△yiel= 0.5% = 0.005，ration=7.14，Convexity=66.2。△P/P= -ration × △y+0.5 × convexity × (△y)2 = -7.14 × 0.5%+0.5 × 66.2 × (0.5%)2 = -3.49%故B正确。为啥我用这个公式算出来的答案永远不一样-7.14x0.5%+0.5x66.2x（0.5%^2)第一个式子算出来是-0.0357第二个是0.000828两个相加也是正数啊

2023-04-28 07:31 2 · 回答

NO.PZ2016031001000128 按照解析的公式算出来是-0.04705吧？

2022-01-15 15:40 1 · 回答

这题有问题吧？解析按照公式计算出来的数字不对吧？

2020-01-15 17:22 1 · 回答

看不懂？这题为什么这样计算？

2020-01-15 15:48 1 · 回答

问一道题：NO.PZ2016031001000128

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