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tristabo · 2024年12月09日

B选项 bond

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)

为什么bond比率为1—55% 从公式哪个部分理解的呢

1 个答案

李坏_品职助教 · 2024年12月10日

嗨,爱思考的PZer你好:


B选项:模拟组合中的T-bills的权重可以通过MKT市场组合因子计算得出。


回归系数表明MKT loading为0.55,意思是这个投资组合相对于市场大盘有55%的暴露,那么剩下的45%的暴露也就是放在市场大盘的对立面(大盘意味着股票市场,股票市场的对立面也就是无风险的国债T-bills),也就是45%(1 - 0.55 = 0.45)的组合应该投资于国债,而非空头仓位。正确的做法是持有T-bills的多头仓位,因此B是错误的。

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