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C_M_ · 2024年10月17日

action 3

NO.PZ2023101902000094

问题如下:

A portfoliomanager is revising an equity portfolio with the goal of attaining the optimalportfolio on the portfolio’s efficient frontier. The manager believes this goalcan be achieved by replacing a stock in the portfolio with a new stock that isnot part of the existing portfolio and keeping the portfolio value constant.The manager considers the following alternative actions:

Action 1: Sell the stock with thehighest marginal VaR and purchase an equivalent value of a new stock that wouldhave the lowest marginal VaR in the portfolio.

Action 2: Sell a particular stock andpurchase an equivalent value of a new stock, which would cause the ratio ofexpected excess returns to portfolio beta for all stocks in the portfolio to beequal.

Action 3: Sell a particular stock andpurchase an equivalent value of a new stock, which would cause the portfoliobetas of all stocks in the portfolio to be equal.

Action 4: Sell a particular stock andpurchase an equivalent value of a new stock, which would significantly decreasethe portfolio standard deviation without changing the average excess portfolioreturn.

Which of the actions above would createan optimal portfolio?

选项:

A.

Action 1

B.

Action 2

C.

Action 3

D.

Action 4

解释:

B is correct. The optimal portfolio ison the efficient frontier. It is the one that maximizes the slope of thetangent from the origin. At this point, the ratio of expected excess returns toportfolio beta (or marginal VaR) for all stocks in the portfolio is equal.

A is incorrect. This action would onlyminimize the risk of the portfolio.

C is incorrect. This action would onlyminimize the risk of the portfolio.

D is incorrect. This action doesn’tnecessarily create an optimal portfolio.

请解释一下action3

1 个答案

pzqa39 · 2024年10月18日

嗨,努力学习的PZer你好:


Action3想通过使所有股票的贝塔值相等来达到某种均衡。然而,贝塔是衡量个股或组合相对于整个市场的系统性风险的指标,不考虑股票的预期回报。即使所有股票的贝塔相同,这并不意味着它们的回报与风险比是最优的。


不同股票的回报潜力不同,即使贝塔相等,每只股票的预期超额回报可能会显著不同。一个最优的投资组合需要在考虑股票的贝塔和回报的同时,确保这些股票的超额回报与其风险的比率相等,而不是仅仅平衡贝塔。


贝塔的均等化并不保证最优的回报/风险比,有效前沿上的组合是基于最大化夏普比率(即超额回报/风险比率),并不一定要求所有股票的贝塔相等。贝塔的均等化不会确保投资组合的风险调整后的回报率是最优的,因为需要调整的不仅仅是系统性风险,还有个别股票的期望回报和整体风险贡献。

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就算太阳没有迎着我们而来,我们正在朝着它而去,加油!

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