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nicole 麦子🌳 · 2025年07月11日

Short position in growth stock为什么不对?

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)

RT

1 个答案

李坏_品职助教 · 2025年07月11日

嗨,从没放弃的小努力你好:


看growth 或者value stock的仓位权重,要去看HML这个因子的系数。 HML的系数是0.36,意思是:+ 36% 的value stocks,以及 – 36% 的growth stocks。


所以growth stocks应该是 -36%的仓位。 那也就是1000000 * (-0.36) = -360000, D选项计算结果错误。

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