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啊柚子熟了 · 2025年05月04日

如题

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.

A选项为什么不对呢?

1 个答案

李坏_品职助教 · 2025年05月04日

嗨,努力学习的PZer你好:


这个人希望找到最优投资组合,create an optimal portfolio。这意思是要找到夏普比率最高的那个组合。


A只是考虑了VaR风险,这样只能把组合的VaR降低到最低,但是完全没有考虑收益,所以这样并不是最优组合。


最优组合一定是按照教材里的这种过程找到的:

最优组合的夏普是最大的,并且达到了均衡状态,也就是超额收益除以β保持不变。这就是B选项说的过程。

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2024-10-17 23:20 1 · 回答