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Hsuyachien · 2022年11月21日

老师,表在哪里看?

NO.PZ2021062201000011

问题如下:

A portfolio has an expected mean return of 8% and standard deviation of 14%. The probability that its return falls between 8% and 11% is closest to:

选项:

A.

8.5%

B.

14.8%

C.

58.3%

解释:

A is correct.

P(8% ≤ Portfolio return ≤ 11%) = N(Z corresponding to 11%) – N(Z corresponding to 8%).

For the first term, NORM.S.DIST(11% – 8%)/14% = 58.48%. To get the second term immediately, note that 8% is the mean, and for the normal distribution, 50% of the probability lies on either side of the mean.

Therefore, N(Z corresponding to 8%) must equal 50%, So, P(8% ≤ Portfolio return ≤ 11%) = 0.5848 - 0.50 = 0.0848, or approximately 8.5%.


基于下列总公式:

P(8% ≤ Portfolio return ≤ 11%) = N(Z corresponding to 11%) – N(Z corresponding to 8%).

本公式第一部分:利用excel中NORM.S.DIST这个公式,我们解得:58.48%

本公式第二部分,8%为均值,且为正态分布,则50%的概率落在均值两侧,所以,N(Z corresponding to 8%)=50%,

带入总公式:P(8% ≤ Portfolio return ≤ 11%) = 0.5848 - 0.50 = 0.0848 = 8.5%

我的确算出来了p(o

1 个答案

星星_品职助教 · 2022年11月21日

同学你好,

原版书后附录有各类分布的表格。其中做题用的比较多的z分布和t分布表都已经被专门切割出来,放到了学员资料下载处。

卡方和F分布用的相对来说比较少,遇到后直接用原版书查一下就可以。

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