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健康菌 · 2022年05月17日

S-F-CRITERION 和S-F-R 有什么区别

NO.PZ2017092702000101

问题如下:

A client holding a £2,000,000 portfolio wants to withdraw £90,000 in one year without invading the principal. According to Roy’s safety-first criterion, which of the following portfolio allocations is optimal?

选项:

A.

Allocation A

B.

Allocation B

C.

Allocation C

解释:

B is correct.

Allocation B has the highest safety-first ratio. The threshold return level RL for the portfolio is £90,000/£2,000,000 = 4.5%, thus any return less than RL = 4.5% will invade the portfolio principal. To compute the allocation that is safety-first optimal, select the alternative with the highest ratio:

lE[(RpRL)]σPAllocation A =6.54.58.35=0.240Allocation B =7.54.510.21=0.294Allocation C =8.54.514.34=0.279{l}\frac{E{\lbrack{(R_p-R_L)}\rbrack}}{\sigma_P}\\Allocation\text{ }A\text{ =}\frac{6.5-4.5}{8.35}=0.240\\Allocation\text{ }B\text{ =}\frac{7.5-4.5}{10.21}=0.294\\Allocation\text{ }C\text{ =}\frac{8.5-4.5}{14.34}=0.279  

如题,公式看起来一样呀。视频里没有讲

2 个答案
已采纳答案

星星_品职助教 · 2022年05月18日

@健康菌

这种情况是很常见的,例如EAR也可以叫做EAY(Yield),后面要学的回归分析中的R-squared又叫做coefficient of determination,SSR也有时也被写成RSS等等。

还有时定义后面会跟着一个括号,括号里就是另一种说法。

星星_品职助教 · 2022年05月17日

同学你好,

SFR中的R是Ratio的缩写。两者可以混用。

健康菌 · 2022年05月17日

同样的为什么要连续写两次,搞得像两个概念一样。是写书的人都问题吗…

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NO.PZ2017092702000101 问题如下 A client holng a £2,000,000 portfolio wants to with£90,000 in one yewithout invang the principal. Accorng to Roy’s safety-first criterion, whiof the following portfolio allocations is optimal? A.Allocation B.Allocation C.Allocation B is correct. Allocation B hthe highest safety-first ratio. The thresholreturn level RL for the portfolio is £90,000/£2,000,000 = 4.5%, thus any return less thRL = 4.5% will inva the portfolio principal. To compute the allocation this safety-first optimal, selethe alternative with the highest ratio:lE[(Rp−RL)]σPAllocation A =6.5−4.58.35=0.240Allocation B =7.5−4.510.21=0.294Allocation C =8.5−4.514.34=0.279{l}\frac{E{\lbrack{(R_p-R_L)}\rbrack}}{\sigma_P}\\Allocation\text{ }A\text{ =}\frac{6.5-4.5}{8.35}=0.240\\Allocation\text{ }B\text{ =}\frac{7.5-4.5}{10.21}=0.294\\Allocation\text{ }C\text{ =}\frac{8.5-4.5}{14.34}=0.279lσP​E[(Rp​−RL​)]​Allocation A =8.356.5−4.5​=0.240Allocation B =10.217.5−4.5​=0.294Allocation C =14.348.5−4.5​=0.279 1

2023-02-15 17:02 1 · 回答

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2022-04-21 15:17 1 · 回答

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2021-04-22 22:51 1 · 回答

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2020-11-04 21:09 1 · 回答