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moon · 2022年05月02日

是不是就会有重叠,违反了mutually exclusive

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NO.PZ201710200200000104

问题如下:

Meg and Cramer Law, a married couple aged 42 and 44, respectively, are meeting with their new investment adviser, Daniel Raye. The Laws have worked their entire careers at Whorton Solutions (WS), a multinational technology company. The Laws have two teenage children who will soon begin college.

Raye reviews the Laws’ current financial position. The Laws have an investment portfolio consisting of $800,000 in equities and $450,000 in fixed-income instruments. Raye notes that 80% of the equity portfolio consists of shares of WS. The Laws also own real estate valued at $400,000, with $225,000 in mortgage debt. Raye estimates the Laws’ pre-retirement earnings from WS have a total present value of $1,025,000. He estimates the Laws’ future expected consumption expenditures have a total present value of $750,000.

The Laws express a very strong desire to fund their children’s college education expenses, which have an estimated present value of $275,000. The Laws also plan to fund an endowment at their alma mater in 20 years, which has an estimated present value of $500,000. The Laws tell Raye they want a high probability of success funding the endowment. Raye uses this information to prepare an economic balance sheet for the Laws. In reviewing a financial plan written by the Laws’ previous adviser, Raye notices the following asset class specifications.

· Equity: US equities

· Debt: Global investment-grade corporate bonds and real estate

· Derivatives: Primarily large-capitalization foreign equities

The previous adviser’s report notes the asset class returns on equity and derivatives are highly correlated. The report also notes the asset class returns on debt have a low correlation with equity and derivative returns.

Raye is concerned that the asset allocation approach followed by the Laws’ previous financial adviser resulted in an overlap in risk factors among asset classes for the portfolio. Raye plans to address this by examining the portfolio’s sensitivity to various risk factors, such as inflation, liquidity, and volatility, to determine the desired exposure to each factor.

Raye concludes that a portfolio of 75% global equities and 25% bonds reflects an appropriate balance of expected return and risk for the Laws with respect to a 20-year time horizon for most moderately important goals. Raye recommends the Laws follow a goals-based approach to asset allocation and offers three possible portfolios for the Laws to consider. Selected data on

the three portfolios are presented in Exhibit 1.

Raye uses a cost–benefit approach to rebalancing and recommends that global equities have a wider rebalancing range than the other asset classes.


4. Raye believes the previous adviser’s asset class specifications for equity and derivatives are inappropriate given that, for purposes of asset allocation, asset classes should be:

选项:

A.

diversifying.

B.

mutually exclusive.

C.

relatively homogeneous.

解释:

A is correct.

For risk control purposes, an asset class should be diversifying and should not have extremely high expected correlations with other classes. Because the returns to the equity and the derivatives asset classes are noted as being highly correlated, inclusion of both asset classes will result in duplication of risk exposures. Including both asset classes is not diversifying to the asset allocation.

考点:asset class的分类标准

解析:diversifying指的是资产类型之间的相关性不能过高,正文部分提到asset class returns on equity and derivatives are highly correlated,因此资产类型的分类违反了diversifying。

易错点分析:本题常见错误选B。一是对asset class的分类标准理解不够准确,二是认为大盘国外股和美国股票之间可能存在重合。事实上,大盘国外股是衍生品的标的物,而非投资产品本身,所以没有违反mutually exclusive。

老师,如果:


equity这个大类针对的asset class是US equities。

derivative这个大类针对的asset class是【US】 large capitalization equities。


是不是就会有重叠,违反了mutually exclusive

1 个答案

lynn_品职助教 · 2022年05月04日

嗨,爱思考的PZer你好:


derivative这个大类针对的asset class是【US】 large capitalization equities

同学的意思是衍生品下面的asset直接是美国大盘股吗,如果是这个意思的话,确实违反了 mutually exclusive,美国大盘股属于美国权益资产。

我们对比一下这两个概念,Mutually exclusive是说资产大类之间应该是互斥的。如果资产大类之间有重合,那么会降低资产配置的有效性。例如,把资产大类分为美国股票和全球股票,这种分类就不是互斥的,因为美国股票是包含在全球股票范围内的,再比如同学提问的这个。关键词是overlap。

Diversifying 是说资产大类之间要分散化,或者说相关性越低越好。一般来说,如果两者的相关系数超过0.95,那么这两个资产类别的分散化效果不好。关键词是highly correlated。

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