开发者:上海品职教育科技有限公司 隐私政策详情

应用版本:4.2.11(IOS)|3.2.5(安卓)APP下载

陈翠铭 · 2018年06月09日

问一道题:NO.PZ2017092702000088 [ CFA I ]

问题如下图:我觉得这个不应该有第三步呀。问的就是fail,也就是小于4%的概率。那第二步正好算的就是小于4呀。那答案应该是B呀。求澄清。谢谢!

选项:

A.

B.

C.

解释:

1 个答案

源_品职助教 · 2018年06月09日

答案没错。

Minimize (Rp< RL) 等价于求Minimize  P (Rp< RL)。

据此,答案首先算出来P(≤-0.2308),

你所说的第三部我理解为是P(≤-0.2308)=1-P(0.2308)这一步。这一步是套用了正态分布标准化的公式。

因为对于一个分位数是一个负数的累积概率函数,正太分布表格是不直接提供其对应概率的,所以这一步只是一个公式转化,求得的结果仍然代表投资回报小于4%的概率。

  • 1

    回答
  • 0

    关注
  • 294

    浏览
相关问题

NO.PZ2017092702000088 问题如下 A portfolio hexpectereturn of 7% with a stanrviation of 13%. For investor with a minimum annureturn target of 4%, the probability ththe portfolio return will fail to meet the target is closest to: A.33%. B.41%. C.59% B is correct.B is correct. using Excel's NORM.S. ST() function, we get NORM.S. ST((4%-7%)/13%) = 40.87%. The probability ththe portfolio willl unrperform the target is about 41%.本题要求的P(X<4%)的概率。第一步先做标准化后才能查表。然后代入标准化的公式即可。-------------------------------------------------------------------------There are three steps, whiinvolve stanrzing the portfolio return: First, subtrathe portfolio mereturn from easi of the inequality: P(Portfolio return – 7%) ≤ 4% – 7%). Secon vi easi of the inequality the stanrviation of portfolio return: P[(Portfolio return – 7%)/13% ≤ (4% – 7%)/13%] = P(Z ≤ –0.2308) = N(–0.2308). Thir recognize thon the left-hansi we have a stanrnormvariable, noteZ anN(–x) = 1 – N(x). Rounng –0.2308 to –0.23 for use with the cumulative stribution function (c) table, we have N(–0.23) = 1 – N(0.23) = 1 – 0.5910 = 0.409, approximately 41 percent. The probability ththe portfolio will unrperform the target is about 41 percent. 求问这道题0.59是不是要靠查表啊?题目没有给出表是不是就无法求出0.59?

2022-07-19 07:53 1 · 回答

NO.PZ2017092702000088 问题如下 A portfolio hexpectereturn of 7% with a stanrviation of 13%. For investor with a minimum annureturn target of 4%, the probability ththe portfolio return will fail to meet the target is closest to: A.33%. B.41%. C.59% B is correct.B is correct. using Excel's NORM.S. ST() function, we get NORM.S. ST((4%-7%)/13%) = 40.87%. The probability ththe portfolio willl unrperform the target is about 41%.本题要求的P(X<4%)的概率。第一步先做标准化后才能查表。然后代入标准化的公式即可。-------------------------------------------------------------------------There are three steps, whiinvolve stanrzing the portfolio return: First, subtrathe portfolio mereturn from easi of the inequality: P(Portfolio return – 7%) ≤ 4% – 7%). Secon vi easi of the inequality the stanrviation of portfolio return: P[(Portfolio return – 7%)/13% ≤ (4% – 7%)/13%] = P(Z ≤ –0.2308) = N(–0.2308). Thir recognize thon the left-hansi we have a stanrnormvariable, noteZ anN(–x) = 1 – N(x). Rounng –0.2308 to –0.23 for use with the cumulative stribution function (c) table, we have N(–0.23) = 1 – N(0.23) = 1 – 0.5910 = 0.409, approximately 41 percent. The probability ththe portfolio will unrperform the target is about 41 percent. 請問這題爲何最終沒有用1-40.90%,謝謝

2022-04-24 23:31 1 · 回答

NO.PZ2017092702000088 老师,题目中的7%为预期回报,怎么就把他当做公式中的均值了呢?

2021-11-24 16:54 1 · 回答

NO.PZ2017092702000088 老师,看到这道题我第一思路是E(Rp)=7%,方差=13%,Rl=4%,可求出SFR=23%。题目问 target fali,我理解意思是寻找SFR>23%的数字,因为这样Rl就会<4%,没有达到minimize的要求,我陷在这个思路里出不来了,没有想到用标准化公式。请老师帮忙指点迷津,谢谢!

2021-04-04 18:12 1 · 回答

NO.PZ2017092702000088 我想问的是u为什么是百分之7,u是均值,这里的%7不是return吗???

2021-02-05 16:56 2 · 回答