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kanjani · 2024年04月05日

B为什么对

NO.PZ2019042401000075

问题如下:

An individual investor wants to invest USD 8 million in exchange-traded funds (ETFs) or private equity funds (PEFs). The investor obtains the previous year’s returns for several ETFs and calculates summary statistics such as volatility and correlation based on these returns. The investor also reviews a database of reported returns and volatilities for several PEFs and then selects two potential investments in each asset class. Using the data from the sources described above, the investor generates the following information for the four potential investments:


The manager evaluates this information while also considering the potential biases and uncertainties in the reported data. Which of the following conclusions is most appropriate for the investor to make?

选项:

A.

The correlation of returns between PEF1 and ETF1 is more accurate than the correlation of returns between ETF1 and ETF2.

B.

Summary statistics computed using reported returns of PEFs can be biased downward, which compromises the reliability of these risk measures.

C.

The number of assets in PEFs are typically higher than the number of assets in ETFs, which makes PEFs much less risky than ETFs over longer time horizons.

D.

The entire USD 8 million should be allocated to PEF2 because it is clearly the superior investment from a return to risk perspective.

解释:

B is correct. Because private equity funds trade infrequently, their risk measures— such as volatilities, correlations, and betas—can be too low when computed using reported returns. See p. 386 in LTR and p.86 in IM

A is incorrect. Correlations regarding PEF1 are not reliable (See explanation for D). The correlation between the two ETFs is more reliable.

C is incorrect. The number of assets alone cannot be a determinant of the risk level of a portfolio. Also, ETFs often hold a very large number of assets, while PEFs can be more concentrated.

D is incorrect. Because the volatility of PEF2 is likely understated, it is not clear that PEF2 truly has the best return to risk profile out of the four investments. Even if it did in fact have the best return/risk profile, it is inappropriate to conclude that the investor should allocate all these funds to that one investment. The investor should consider other factors, such as potential diversification benefits from holding a mixture of the four investments as well as diversification benefits with other investments and asset classes that the investor may own. There is not enough information given to make this conclusion.

题干中描述的是return会被downward估计,但解释说的是risk被downward,驴唇不对马嘴,不应该是return upward,risk downward吗?

1 个答案

李坏_品职助教 · 2024年04月05日

嗨,爱思考的PZer你好:


题目说的是:The investor obtains the previous year’s returns for several ETFs and calculates summary statistics such as volatility and correlation based on these returns

这句话翻译过来意思是:投资者获取了私募基金的历史数据,企图以收益率数据为基础推算出波动率和相关性等指标。所以最后分析的目的是波动率和相关性,收益率只是利用的数据基础。


这些数据都是关于私募基金的(private equity funds ),而私募基金的特点是交易不是很活跃,从公布的报告得到的数据会低估私募基金真实的波动率、相关性等数据,从而低估私募基金的真实风险。所以B正确。



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2024-03-19 17:27 1 · 回答