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LLP210 · 2025年03月26日

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NO.PZ202301280100000804

问题如下:

Which strategic asset allocation in Exhibit 1 best meets TEF’s investment objective and addresses the factors noted by the investment committee?

选项:

A.

Mix A

B.

Mix B

C.

Mix C

解释:

Under Mix A: (a) The allocation to domestic nominal fixed income falls significantly, from 44% to 30%; (b) 20% of the portfolio would be reallocated to real estate; (c) the current 56% allocation to domestic equities falls to 50%; (d) the Sharpe ratio is slightly lower and volatility slightly higher than Mix B.

Under Mix B: (a) The fixed income allocation has been diversified by adding exposure to inflation-linked bonds, matching the allocation to nominal fixed income; (b) exposure to non-domestic equities has been added, making up 60% of the allocation to stocks, (c) hedge funds have been added, matching the allocation to real estate; (d) the Sharpe ratio is the highest and volatility the lowest of the three mixes.

Under Mix C: (a) While exposure to non-domestic equities is added, more than 80% of equity allocation remains in domestic stocks;the overall allocation to equities at 55% is higher than Mixes A and B but nearly identical to the current equity allocation of 56%; (b) exposure to inflation-linked fixed income securities is added, but the overall allocation to fixed income declines by one-third; (c) 25% of the portfolio would be reallocated to real estate; (d) the Sharpe ratio is the lowest and volatility the highest of the three mixes.

Comments:

The university plans to significantly increase its spending on capital improvements over the next several years. Given the illiquid nature of private and direct real estate, the university’s plans could come under pressure under Mixes A and C. TEF has little control over the timing and amounts of contributions to the fund, making liquidity an important consideration. Because hedge funds are more liquid than private real estate, the overall liquidity profile of TEF improves with the addition of this asset class in Mix B.

The domestic equity market represents only 7% of the value of world equity markets. By biasing toward the home market, TEF is not optimally aligning regional weights with the global market portfolio and the internal staff is implicitly implementing a market view. Potential investment explanations for the bias, such as offsetting liabilities that are denominated in the home currency, are likely not relevant in this case – the university attracts a global student body and enrollment levels tend to track the performance of developed market economies. Only Mix B meaningfully addresses this home-market bias.

While Mix C has a higher expected return than Mix B, its lower Sharpe ratio indicates that Mix C makes inefficient use of its additional risk. While the expected return for Mix A is slightly higher than Mix B, this cannot overcome its deficiencies. Overall, Mix B appears to provide the greatest improvement on the current asset allocation.

老师,这道题目里面提到,选择sharp ratio 最大的,volatility不超过16%的作为投资目标。直接按照这个标准来选可以吗?其他选项感觉没读懂。。而且比较复杂

1 个答案

Lucky_品职助教 · 2025年03月26日

嗨,爱思考的PZer你好:


仅按照 Sharpe ratio 最大且 volatility 不超过 16% 的标准,从数据上看 Mix B 确实符合,它的 Sharpe ratio 在三者中最高,volatility也未超过 16% 。但这忽略了投资委员会提出的其他重要因素。如学校未来几年要大幅增加资本改善支出,Mix A 和 C 将大量资金投入流动性较差的私人和直接房地产,可能使学校计划面临压力,而 Mix B 增加了流动性较好的对冲基金,更符合学校资金流动性的需求。

国内股票市场仅占全球股票市场市值的 7%,学校吸引全球学生,招生水平与发达市场经济表现相关,Mix B 增加了非国内股票投资,占股票配置的 60%,能更好地解决投资过于偏向国内市场的问题。Mix C 虽预期回报率高于 Mix B,但 Sharpe ratio 低,意味着承担额外风险却未有效利用,投资效率低;Mix A 预期回报率略高于 Mix B,却无法弥补其在流动性、市场偏向等方面的不足。

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