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Rachel杏怡 · 2024年09月22日

为啥是C 呢 ?

NO.PZ2019042401000051

问题如下:

An individual investor reviews historical data on the performance of several investment funds and decides to create a USD 1 million portfolio that mimics the strategy of Fund CRN, which has consistently generated high alphas. The investor gathers Fund CRN’s monthly returns over the last 10 years and regresses Fund CRN’s monthly excess returns over the risk-free rate against the Fama-French model’s three factors as well as a momentum factor. The investor obtains the following statistically significant estimates:


Which of the following positions is a component of the mimicking portfolio?

选项:

A.

USD 7,000 long position in stocks showing positive momentum

B.

USD 450,000 short position in T-bills

C.

USD 360,000 long position in value stocks

D.

USD 630,000 short position in growth stocks

解释:

C is correct.

The mimicking portfolio should consist of (in percentages):

(1 - 0.55) = 45% in T-bills

+ 55% in the market portfolio

-63% in small caps + 63% in large caps

+ 36% in value stocks – 36% in growth stocks

-7% in past winning stocks + 7% in past losing stocks

The 36% long position in value stocks translates to USD 360,000 for a portfolio of USD 1 million.

Risk Management and Investment Management

Apply a factor regression to construct a benchmark with multiple factors, measure a portfolio’s sensitivity to those factors, and measure alpha against that benchmark.

Andrew Ang, Asset Management: A Systematic Approach to Factor Investing (New York, NY: Oxford University Press, 2014). Chapter 10. Alpha (and the Low-Risk Anomaly)

我还是没明白 为啥选HML ? 而不是选其他 去模仿 ?


1 个答案

pzqa39 · 2024年09月22日

嗨,从没放弃的小努力你好:


A选项:UMD loading(动量因子)为-0.07,表示基金对过去表现好的股票有负暴露,反而对过去表现差的股票有正暴露。因此,如果模拟组合要反映这一暴露情况,应该是做空过去表现好的股票,做多过去表现差的股票。选项A中的做多正动量股票(即过去表现好的股票)与基金的负动量暴露相反,因此A是错误的。


B选项:模拟组合中的T-bills的权重通过MKT市场组合因子计算得出。回归系数表明MKT loading为0.55,意味着45%(1 - 0.55 = 0.45)的组合应该投资于国库券,而非空头仓位。正确的做法是持有国库券的多头仓位,因此B也是错误的。


D选项:HML loading0.36,表示基金对价值股有正暴露,对成长股有负暴露。模拟组合应该有36%的多头价值股仓位和36%的空头成长股仓位。选项D中的空头成长股仓位符合策略,但这里的仓位数额为630,000美元,即63%的仓位,而正确应为36%。因此D的仓位配置比例不对,因此D也是不正确的。

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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!

Rachel杏怡 · 2024年09月23日

谢谢老师 , 解释的非常到位 ! 我明白了

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