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🌅 🌅多吉旺珍🌞🌞 · 2020年07月24日

问一道题:NO.PZ2015120604000108

问题如下:

If a Portfolio's SFR is 1.4 and  threshold level's return is  supposed to be 2%, what is the probability of return less than 2%?

选项:

A.

8.08%.

B.

30.20%.

C.

9.68%.

解释:

A is correct.

Using the table, we get F( -1.4) is 1 - 0.9192 = 8.08%.

题没看懂,解题思路也没懂……

1 个答案

星星_品职助教 · 2020年07月24日

同学你好,

题干给了SFR=1.4,带入SFR的公式,可以得到[E(Rp)-RL]/σp=1.4,

给出了RL=2%,进一步可得出[E(Rp)-2%]/σp=1.4,

题目要求“ the probability of return less than 2%”,写出来就是求P(X<2%),标准化后就是求P[Z<(2%-E(Rp))/σp],关联之前推导的关系[E(Rp)-2%]/σp=1.4,可知不等式右侧的值等于-1.4,也就是最重要求的是P(Z<-1.4),直接查表即可得到答案

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