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十六岁的烟火 · 2018年03月27日

这个不用算比例吗?问一道题:NO.PZ2016082402000015 [ FRM I ]

组合的duration不是要算占比吗?直接加?

问题如下图:

选项:

A.

B.

C.

D.

解释:

1 个答案
已采纳答案

orange品职答疑助手 · 2018年03月27日

同学你好,这个是算组合的价格变化,就是算各债券的价格变化之和就好了。当然也可以先算总的组合的修正久期,将其看成一个整体,算出其组合的修正久期,再用组合的修正久期*组合的P*变动利率

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NO.PZ2016082402000015 问题如下 A bonportfolio hthe following composition: Portfolio pri$90,000, mofieration 2.5, long position in 8 bon Portfolio pri$110,000, mofieration 3, short position in 6 bon Portfolio pri$120,000, mofieration 3.3, long position in 12 bon All interest rates are 10%. If the rates rise 25 basis points, then the bonportfolio value will crease $11,430 $21,330 $12,573 $23,463 ANSWER: AThe portfolio llration is P=∑xi∗Pi=+8×2.5×$90,000−6×3.0×$110,000\ast P=\sum x_ii^\ast P_i=+8\times2.5\times\$90,000-6\times3.0\times\$110,000P=∑xi​∗​Pi​=+8×2.5×$90,000−6×3.0×$110,000 +12×3.3×$120,000=$4,572,000+12\times3.3\times\$120,000=\$4,572,000+12×3.3×$120,000=$4,572,000.The change in portfolio value is then −(P)×△y-{(\ast P)}\times\bigtriangleup y−(P)×△y=  −$4,572,000×0.0025=−$11,430=\;-\$4,572,000\times0.0025=-\$11,430=−$4,572,000×0.0025=−$11,430 解析组合A价格=90k,M2.5,long了8个债券组合B价格=110k,M3,short了6个债券组合C价格=120k,M3.3,long了12个债券所有的利率是10%,如果利率上升25bp,这个债券组合的价值会下降多少?组合的llarration=+8×2.5×$90k−6×3×$110k+12×3.3×$120k=$4,572k价值会下降=$4,572k*25bp= -11,430

2023-04-23 14:57 1 · 回答

NO.PZ2016082402000015问题如下 A bonportfolio hthe following composition: Portfolio pri$90,000, mofieration 2.5, long position in 8 bon Portfolio pri$110,000, mofieration 3, short position in 6 bon Portfolio pri$120,000, mofieration 3.3, long position in 12 bon All interest rates are 10%. If the rates rise 25 basis points, then the bonportfolio value will crease $11,430 $21,330 $12,573 $23,463 ANSWER: AThe portfolio llration is P=∑xi∗Pi=+8×2.5×$90,000−6×3.0×$110,000\ast P=\sum x_ii^\ast P_i=+8\times2.5\times\$90,000-6\times3.0\times\$110,000P=∑xi​∗​Pi​=+8×2.5×$90,000−6×3.0×$110,000 +12×3.3×$120,000=$4,572,000+12\times3.3\times\$120,000=\$4,572,000+12×3.3×$120,000=$4,572,000.The change in portfolio value is then −(P)×△y-{(\ast P)}\times\bigtriangleup y−(P)×△y=  −$4,572,000×0.0025=−$11,430=\;-\$4,572,000\times0.0025=-\$11,430=−$4,572,000×0.0025=−$11,430 Portfolio pri$90,000, mofieration 2.5, long position in 8 bonPortfolio pri$110,000, mofieration 3, short position in 6 bonPortfolio pri$120,000, mofieration 3.3, long position in 12 bon这道题为什么要乘以8、6、12呢?Portfolio A 不是一个含有8个bon的组合,Portfolio A 的价格是90,000吗?还是Portfolio 8个bon每个bon是90,000,合计720,000?

2022-04-08 14:32 1 · 回答

NO.PZ2016082402000015 A bonportfolio hthe following composition: Portfolio pri$90,000, mofieration 2.5, long position in 8 bon Portfolio pri$110,000, mofieration 3, short position in 6 bon Portfolio pri$120,000, mofieration 3.3, long position in 12 bon All interest rates are 10%. If the rates rise 25 basis points, then the bonportfolio value will crease $11,430 $21,330 $12,573 $23,463 ANSWER: A The portfolio llration is P=∑xi∗Pi=+8×2.5×$90,000−6×3.0×$110,000\ast P=\sum x_ii^\ast P_i=+8\times2.5\times\$90,000-6\times3.0\times\$110,000P=∑xi​∗​Pi​=+8×2.5×$90,000−6×3.0×$110,000 +12×3.3×$120,000=$4,572,000+12\times3.3\times\$120,000=\$4,572,000+12×3.3×$120,000=$4,572,000.The change in portfolio value is then −(P)×△y-{(\ast P)}\times\bigtriangleup y−(P)×△y =  −$4,572,000×0.0025=−$11,430=\;-\$4,572,000\times0.0025=-\$11,430=−$4,572,000×0.0025=−$11,430 这里的10%有用吗?All interest rates are 10%. 

2021-10-27 01:49 1 · 回答

不是很懂为什么Portfolio B的ration要减去。0不是代表利率上升,价格会上升吗。还是只是因为头寸方向所以带负号? 谢谢    

2019-10-06 22:23 1 · 回答

     我算的组合的3.025,组合价值2820000,算下来25个BP对应的变动是21330,为什么答案选A?

2018-04-15 19:09 2 · 回答