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🍀 · 2024年06月14日

计算结果跟答案不一样

NO.PZ2022122801000018

问题如下:

Exhibit 1 shows the expected return and standard deviation of returns for three strategic asset allocations that apply to several of Monteo’s clients.

Exhibit 1 Strategic Asset Allocation Alternatives

Monteo interviews client Mary Perkins and develops a detailed assessment of her risk preference and capacity for risk, which is needed to apply MVO to asset allocation. Monteo estimates the risk aversion coefficient (λ) for Perkins to be 8 and uses the following utility function to determine a preferred asset allocation for Perkins: (原版书)

Um =E (Rm) - 0.005λσm2

Based on Exhibit 1 and the risk aversion coefficient, the preferred asset allocation for Perkins is:

选项:

A.

Asset Allocation A.

B.

Asset Allocation B.

C.

Asset Allocation C.

解释:

C is correct. The risk aversion coefficient (λ) for Mary Perkins is 8. The utility of each asset allocation is calculated as follows:

Asset Allocation A: UA = 10.0% – 0.005(8)(12%)2 = 4.24%

Asset Allocation B: UB = 8.0% – 0.005(8)(8%)2 = 5.44%

Asset Allocation C: UC = 6.0% – 0.005(8)(2%)2 = 5.84%

Therefore, the preferred strategic allocation is Asset Allocation C, which generates the highest utility given Perkins’s level of risk aversion.

计算出的结果和答案不一样,不知道哪里错了,用搜狗输入法V功能计算的。

10%-0.005*8*12%^2=0.099424

8%-0.005*8*8%^2=0.079744

6%-0.005*8*2%^2=0.059984

1 个答案
已采纳答案

lynn_品职助教 · 2024年06月14日

嗨,努力学习的PZer你好:


如果用Um= E(R)- 0.005λσm2这个公式,应当代入E(R)=8,σ^2=64。相当于把百分号当成了一个符号,代入后,U=8-0.005(8)(64)=5.44。最后再加百分号。


 

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