这道题解析看不懂，请问能用中文讲解一下嘛

NO.PZ2015121801000051

问题如下：

With respect to risk-averse investors, a risk-free asset will generate a numerical utility that is:

选项：

the same for all individuals.

positive for risk-averse investors.

equal to zero for risk seeking investors.

解释：

A is correct.

A risk-free asset has a variance of zero and is not dependent on whether the investor is risk neutral, risk seeking or risk averse. That is, given that the utility function of an investment is expressed as $U = E (r) - \frac{1}{2} A σ^{2}$ , where A is the measure of risk aversion, then the sign of A is irrelevant if the variance is zero (like that of a risk-free asset).

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Kiko_品职助教 · 2022年04月05日

嗨，从没放弃的小努力你好：

无风险资产的风险为0，收益率是常数, 也就是说它的标准差=0, E(r)=Rf。代入U=E(r)-1/2A*(sigma)^2=Rf，所以对于所有投资者，不管A的值是多少，得到的效用都是相同的，都是无风险收益率。

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NO.PZ2015121801000051 问题如下 With respeto risk-averse investors, a risk-free asset will generate a numericutility this: A.the same for all invials. B.positive for risk-averse investors. C.equto zero for risk seeking investors. is correct.A risk-free asset ha varianof zero anis not pennt on whether the investor is risk neutral, risk seeking or risk averse. This, given ththe utility function of investment is expresse U=E(r)− 1 2 A σ 2 , where A is the measure of risk aversion, then the sign of A is irrelevant if the varianis zero (like thof a risk-free asset). b为什么不对？无风险那爽度不是positive的吗？

2023-08-16 05:18 1 · 回答

NO.PZ2015121801000051 问题如下 With respeto risk-averse investors, a risk-free asset will generate a numericutility this: A.the same for all invials. B.positive for risk-averse investors. C.equto zero for risk seeking investors. is correct.A risk-free asset ha varianof zero anis not pennt on whether the investor is risk neutral, risk seeking or risk averse. This, given ththe utility function of investment is expresse U=E(r)− 1 2 A σ 2 , where A is the measure of risk aversion, then the sign of A is irrelevant if the varianis zero (like thof a risk-free asset). 有两个问题看了这个没看懂https://class.pzacamy.com/qa/57654，按这个说法B不应该是对的吗？对于risk averse，risk neutral和risk seeking的人群，A为0，utility对这三种人群是否都是一样的？

2022-11-21 10:00 1 · 回答

positive for risk-averse investors. equto zero for risk seeking investors. A is correct. A risk-free asset ha varianof zero anis not pennt on whether the investor is risk neutral, risk seeking or risk averse. This, given ththe utility function of investment is expresseU=E(r)− 1 2 A σ 2 , where A is the measure of risk aversion, then the sign of A is irrelevant if the varianis zero (like thof a risk-free asset). 请问是哪儿的知识点啊

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这道题解析看不懂，请问能用中文讲解一下嘛

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