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葫芦娃吃生菜 · 2024年03月11日

这道题怎么理解,解释一下

NO.PZ2023090401000094

问题如下:

Question An analyst at a family endowment fund is studying the use of a factor analysis approach to hedge an investment portfolio. The analyst reviews the characteristics of factor analysis and best practices in implementing the approach. Which of the following statements is correct for the analyst to make?

选项:

A.

Factor betas can be used in the process of hedging idiosyncratic risk, but they cannot be used in hedging systematic risk.

B.

Choosing the frequency to adjust factor-based hedges requires making a decision that balances the hedging cost and the tracking error.

C.

Factor hedging performs well when linear factor models are used, but performs poorly when nonlinear factor models are used.

D.

While an investor can take positions in factors to construct a portfolio with a beta close to zero, the investor cannot theoretically construct a portfolio with a beta exactly equal to zero.

解释:

Explanation:

B is correct. Determining how often a hedge needs to be adjusted is a key challenge. There is a tradeoff between the cost of hedging and the need to keep the hedge aligned to the portfolio. If the hedging strategy is not implemented on a continuous basis, then tracking errors will appear. If the hedging strategy is updated too frequently, trading costs will be high and drag down overall performance.

A is incorrect. While idiosyncratic (i.e., specific) risk can theoretically be eliminated through diversification, the same is not true for systematic risk. However, factor betas can be used to construct a hedging strategy to eliminate systematic risk.

C is incorrect. Factor hedging could be based on either a linear or nonlinear model. Either could have a sound hedging effect. What is challenging is model risk, which includes both factor model errors and the potential for errors in implementation. Factor model errors occur when a model contains mathematical errors or is based on misleading/inappropriate assumptions. For example, a hedging strategy that is based on linear factor models that fail to capture nonlinear relationships among the factors will be flawed.

D is incorrect. The goal of hedging out all the factor risks and creating a zero-beta portfolio can theoretically be achieved by taking the opposite positions in each of the factors so that the combined portfolio contains no factor exposures. This is theoretically possible, although in practice some slight beta exposure might be left due to rounding the hedging instruments to the nearest single unit.

Section: Foundations of Risk Management

Learning Objective: Explain how to construct a portfolio to hedge exposure to multiple factors.

Reference: Global Association of Risk Professionals. Foundations of Risk Management. New York, NY: Pearson, 2022. Chapter 6. The Arbitrage Pricing Theory and Multifactor Models of Risk and Return.

这道题怎么理解,解释一下

1 个答案

pzqa27 · 2024年03月11日

嗨,从没放弃的小努力你好:


这个题让我们选个说法对的选项。

A选项是不对的,A说因子可以用于减少特定风险而不能用于降低系统性风险,这个是不对的,特定风险是用分散化来降低的,而因子的beta是可以用于降低系统性风险的。

B说的是因子对冲的调仓频率需要在对冲成本以及tracking error之间做权衡,这个是对的,调仓越频繁,tracking error越小,但是成本越高,因此需要做出权衡。

C说的是因子对冲在线性因子上表现好,在非线性因子上表现不好。这个是不对,只要模型前提假设做的好,非线性因子也可以表现很好。

D说的是一个投资者可以建立一个beta是0的头寸,但是理论上建立不了一个beta是0的组合。这个是不对,理论上我们是可以把beta调整成0的,但是现实中往往做不到,因此D说反了。

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努力的时光都是限量版,加油!

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