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kinman · 2024年04月06日

如题

NO.PZ2024030505000106

问题如下:

Question The capital market line most likely consists of portfolios that:

选项:

A.are fully diversified. B.have zero systematic risk. C.have nonsystematic risk equal to beta.

解释:

Solution
  1. Correct because the capital market line (CML) does not apply to all securities or assets but only to portfolios on the efficient frontier. The efficient frontier gives optimal combinations of expected return and total risk. Total risk and systematic risk are equal only for efficient portfolios because those portfolios have no diversifiable risk remaining. Thus, the CML holds only for well-diversified portfolios.

  2. Incorrect because the nonsystematic risk of the market portfolio is zero, but not its systematic risk. Because nonsystematic risk is zero for well-diversified portfolios, such as the market portfolio, the total risk of a market portfolio and other similar portfolios is only systematic risk, which is βiσm. Therefore, portfolios on the CML have zero nonsystematic (not systematic) risk.

  3. Incorrect because the total risk of a market portfolio and other similar portfolios is only systematic risk, which is βiσm. Therefore, portfolios on the CML have nonsystematic risk equal to zero, not beta.

Portfolio Risk and Return: Part II

不是SML才是fully diversified吗

1 个答案

Kiko_品职助教 · 2024年04月07日

嗨,爱思考的PZer你好:


SML是给单个资产定价的。CAPM(资本资产定价模型)假设是完美市场,非系统性风险已经被充分分散掉了。所以他是fully diversified的。

CML这条线上的portfolio是Rf和market portfolio做组合产生,理论上,市场组合是足够分散的,所以CML上的所有点都是充分分散的。其中,市场组合是指包含所有可投资资产,并根据各资产的市值进行加权平均后得到的组合。

总的来说,CML和CAPM都需要市场组合足够分散,才能使得理论成立。

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